Template-Type: ReDIF-Article 1.0 Author-Name: Xiaolin Dai Author-X-Name-First: Xiaolin Author-X-Name-Last: Dai Author-Name: Dawei Gong Author-X-Name-First: Dawei Author-X-Name-Last: Gong Author-Name: Bonan Huang Author-X-Name-First: Bonan Author-X-Name-Last: Huang Author-Name: Junjie Li Author-X-Name-First: Junjie Author-X-Name-Last: Li Title: Synchronisation analysis for coupled networks with multiple delays Abstract: This paper concerns the synchronisation problems for coupled networks with multiple time-varying delays. By linearising complicated system to some time-delayed subsystems, some novel criteria are given to ensure the robust synchronisation for the complex systems with multiple delays. Moreover, the presented results are also applied to the system with single time delay, and the coupling configuration matrix is not necessarily symmetric. Since the results are expressed in the form of linear matrix inequality , the obtained criteria can be easily checked in practice. Finally, numerical examples are provided to show the effectiveness of the obtained results. Journal: International Journal of Systems Science Pages: 2439-2447 Issue: 13 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2013.860638 File-URL: http://hdl.handle.net/10.1080/00207721.2013.860638 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:13:p:2439-2447 Template-Type: ReDIF-Article 1.0 Author-Name: Vladimir Milic Author-X-Name-First: Vladimir Author-X-Name-Last: Milic Author-Name: Josip Kasac Author-X-Name-First: Josip Author-X-Name-Last: Kasac Author-Name: Branko Novakovic Author-X-Name-First: Branko Author-X-Name-Last: Novakovic Title: An analytical fuzzy-based approach to -gain optimal control of input-affine nonlinear systems using Newton-type algorithm Abstract: This paper is concerned with L2$\mathcal {L}_2$-gain optimisation of input-affine nonlinear systems controlled by analytic fuzzy logic system. Unlike the conventional fuzzy-based strategies, the non-conventional analytic fuzzy control method does not require an explicit fuzzy rule base. As the first contribution of this paper, we prove, by using the Stone–Weierstrass theorem, that the proposed fuzzy system without rule base is universal approximator. The second contribution of this paper is an algorithm for solving a finite-horizon minimax problem for L2$\mathcal {L}_2$-gain optimisation. The proposed algorithm consists of recursive chain rule for first- and second-order derivatives, Newton’s method, multi-step Adams method and automatic differentiation. Finally, the results of this paper are evaluated on a second-order nonlinear system. Journal: International Journal of Systems Science Pages: 2448-2460 Issue: 13 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2013.860640 File-URL: http://hdl.handle.net/10.1080/00207721.2013.860640 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:13:p:2448-2460 Template-Type: ReDIF-Article 1.0 Author-Name: Moina Ajmeri Author-X-Name-First: Moina Author-X-Name-Last: Ajmeri Author-Name: Ahmad Ali Author-X-Name-First: Ahmad Author-X-Name-Last: Ali Title: Direct synthesis based tuning of the parallel control structure for integrating processes Abstract: A controller tuned for servo/regulatory application gives significant performance degradation when used for regulatory/servo purpose. The degradation in the overall performance can be minimised by a two degree-of-freedom control structure. The parallel control structure reported recently decouples set-point tracking from disturbance rejection. In the present work, the two controllers of parallel control structure are designed using direct synthesis approach to achieve robust closed-loop performance for a class of integrating processes. Simulation examples show that improved servo and regulatory performances are achieved by the proposed method as compared to the recently reported strategies when the controllers are tuned to have the same degree of robustness. Journal: International Journal of Systems Science Pages: 2461-2473 Issue: 13 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2013.871369 File-URL: http://hdl.handle.net/10.1080/00207721.2013.871369 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:13:p:2461-2473 Template-Type: ReDIF-Article 1.0 Author-Name: Fubo Zhu Author-X-Name-First: Fubo Author-X-Name-Last: Zhu Author-Name: Zhengzhi Han Author-X-Name-First: Zhengzhi Author-X-Name-Last: Han Author-Name: Junfeng Zhang Author-X-Name-First: Junfeng Author-X-Name-Last: Zhang Title: Moment exponential stability analysis of Markovian jump stochastic differential equations with uncertain transition jump rates Abstract: This paper is concerned with the moment exponential stability analysis of Markovian jump stochastic differential equations. The equations under consideration are more general, whose transition jump rates matrix Q is not precisely known. Sufficient conditions for testing the stability of such equations are established, and some numerical examples to illustrate the effectiveness of our results are presented. Journal: International Journal of Systems Science Pages: 2474-2480 Issue: 13 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2013.871370 File-URL: http://hdl.handle.net/10.1080/00207721.2013.871370 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:13:p:2474-2480 Template-Type: ReDIF-Article 1.0 Author-Name: Jiuping Xu Author-X-Name-First: Jiuping Author-X-Name-Last: Xu Author-Name: Zhengqiang Zhong Author-X-Name-First: Zhengqiang Author-X-Name-Last: Zhong Author-Name: Lei Xu Author-X-Name-First: Lei Author-X-Name-Last: Xu Title: ISHM-oriented adaptive fault diagnostics for avionics based on a distributed intelligent agent system Abstract: In this paper, an integrated system health management-oriented adaptive fault diagnostics and model for avionics is proposed. With avionics becoming increasingly complicated, precise and comprehensive avionics fault diagnostics has become an extremely complicated task. For the proposed fault diagnostic system, specific approaches, such as the artificial immune system, the intelligent agents system and the Dempster–Shafer evidence theory, are used to conduct deep fault avionics diagnostics. Through this proposed fault diagnostic system, efficient and accurate diagnostics can be achieved. A numerical example is conducted to apply the proposed hybrid diagnostics to a set of radar transmitters on an avionics system and to illustrate that the proposed system and model have the ability to achieve efficient and accurate fault diagnostics. By analyzing the diagnostic system's feasibility and pragmatics, the advantages of this system are demonstrated. Journal: International Journal of Systems Science Pages: 2287-2302 Issue: 13 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2014.971090 File-URL: http://hdl.handle.net/10.1080/00207721.2014.971090 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:13:p:2287-2302 Template-Type: ReDIF-Article 1.0 Author-Name: Ping Wang Author-X-Name-First: Ping Author-X-Name-Last: Wang Author-Name: Yingmin Jia Author-X-Name-First: Yingmin Author-X-Name-Last: Jia Title: Adaptive containment control of second-order multi-agent systems with nonlinear dynamics and multiple input-bounded leaders Abstract: This paper considers the adaptive containment control problem of second-order multi-agent systems with inherent nonlinear dynamics. In particular, the leaders’ control inputs are nonzero, bounded, and not available to any follower. Based on the relative states among neighbouring agents, a discontinuous adaptive protocol is first proposed to ensure that the containment errors of each follower converge to zero asymptotically, i.e. the states of the followers asymptotically converge to the convex hull spanned by those of the leaders. To eliminate the chattering effect caused by the discontinuous protocol, a continuous adaptive protocol is further designed based on the boundary layer technique and the σ-modification technique. Numerical examples are provided to demonstrate the effectiveness of our theoretical results. Journal: International Journal of Systems Science Pages: 2303-2316 Issue: 13 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2014.984362 File-URL: http://hdl.handle.net/10.1080/00207721.2014.984362 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:13:p:2303-2316 Template-Type: ReDIF-Article 1.0 Author-Name: Feng Xu Author-X-Name-First: Feng Author-X-Name-Last: Xu Author-Name: Vicenç Puig Author-X-Name-First: Vicenç Author-X-Name-Last: Puig Author-Name: Carlos Ocampo-Martinez Author-X-Name-First: Carlos Author-X-Name-Last: Ocampo-Martinez Author-Name: Sorin Olaru Author-X-Name-First: Sorin Author-X-Name-Last: Olaru Author-Name: Florin Stoican Author-X-Name-First: Florin Author-X-Name-Last: Stoican Title: Set-theoretic methods in robust detection and isolation of sensor faults Abstract: This paper proposes a sensorfault detection and isolation (FDI) approach based on interval observers and invariant sets. In fault detection (FD), both interval observer-based and invariant set-based mechanisms are used to provide real-time fault alarms. In fault isolation (FI), the proposed approach also uses these two different mechanisms. The former, based on interval observers, aims to isolate faults during the transient-state operation induced by faults. If the former does not succeed, the latter, based on both interval observers and invariant sets, is started to guarantee FI after the system enters into steady state. Besides, a collection of invariant set-based FDI conditions are established by using all available system-operating information provided by all interval observers. In order to reduce computational complexity, a method to remove all available but redundant/unnecessary system-operating information is incorporated into this approach. If the considered faults satisfy the proposed FDI conditions, it can be guaranteed that they are detectable and isolable after their occurrences. This paper concludes with a case study based on a subsystem of a wind turbine benchmark, which can illustrate the effectiveness of this FDI technique. Journal: International Journal of Systems Science Pages: 2317-2334 Issue: 13 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2014.989293 File-URL: http://hdl.handle.net/10.1080/00207721.2014.989293 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:13:p:2317-2334 Template-Type: ReDIF-Article 1.0 Author-Name: Juan-juan Peng Author-X-Name-First: Juan-juan Author-X-Name-Last: Peng Author-Name: Jian-qiang Wang Author-X-Name-First: Jian-qiang Author-X-Name-Last: Wang Author-Name: Xiao-hui Wu Author-X-Name-First: Xiao-hui Author-X-Name-Last: Wu Author-Name: Hong-yu Zhang Author-X-Name-First: Hong-yu Author-X-Name-Last: Zhang Author-Name: Xiao-hong Chen Author-X-Name-First: Xiao-hong Author-X-Name-Last: Chen Title: The fuzzy cross-entropy for intuitionistic hesitant fuzzy sets and their application in multi-criteria decision-making Abstract: In this paper, the cross-entropy of intuitionistic hesitant fuzzy sets (IHFSs) is developed by integrating the cross-entropy of intuitionistic fuzzy sets (IFSs) and hesitant fuzzy sets (HFSs). First, several measurement formulae are discussed and their properties are studied. Then, two approaches, which are based on the developed intuitionistic hesitant fuzzy cross-entropy, are proposed for solving multi-criteria decision-making (MCDM) problems within an intuitionistic hesitant fuzzy environment. For both methods, an optimisation model is established in order to determine the weight vector for MCDM problems with incomplete information on criteria weights. Finally, an example is provided in order to illustrate the practicality and effectiveness of the proposed approaches. Journal: International Journal of Systems Science Pages: 2335-2350 Issue: 13 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2014.993744 File-URL: http://hdl.handle.net/10.1080/00207721.2014.993744 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:13:p:2335-2350 Template-Type: ReDIF-Article 1.0 Author-Name: Jing Xu Author-X-Name-First: Jing Author-X-Name-Last: Xu Author-Name: Chenxiao Cai Author-X-Name-First: Chenxiao Author-X-Name-Last: Cai Author-Name: Yun Zou Author-X-Name-First: Yun Author-X-Name-Last: Zou Author-Name: Cheng Chew Lim Author-X-Name-First: Cheng Chew Author-X-Name-Last: Lim Title: Mixed output feedback of the finite frequency control for singularly perturbed system Abstract: This paper considers the H∞ control problem for a class of linear singularly perturbed systems in the finite frequency range. A mixed output feedback controller comprising of a static output feedback controller and a dynamic output feedback controller is developed for the system stabilisation. Based on the generalised Kalman–Yakubovich–Popov (GKYP) lemma, the frequency-domain inequalities can be converted into linear matrix inequalities which are numerically tractable. Compared with the existing full frequency approaches, better results are obtained. Moreover, the selection methods of the cut-off frequencies in both low and high frequency ranges are extensively studied with a view to reduce the conservativeness in output feedback control design. Simulation results suggest the asymptotic validity of the main results in this paper. Journal: International Journal of Systems Science Pages: 2351-2366 Issue: 13 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2014.998317 File-URL: http://hdl.handle.net/10.1080/00207721.2014.998317 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:13:p:2351-2366 Template-Type: ReDIF-Article 1.0 Author-Name: Wenlin Zhang Author-X-Name-First: Wenlin Author-X-Name-Last: Zhang Author-Name: Zheng Wang Author-X-Name-First: Zheng Author-X-Name-Last: Wang Title: Adaptive output consensus tracking of uncertain multi-agent systems Abstract: In this paper, we consider the adaptive output consensus tracking of a class of nonlinear systems in their higherorder strict-feedback form with mismatched parametric uncertainties. The networked group of nonlinear systems has a time-varying reference as a virtual leader, whose output is available to partial agents in the network. The proposed approach features in a design procedure including distributed estimation of group reference and backstepping-based robust consensus tracking control. In the proposed consensus tracking design, each agent estimates the consensus reference through local communications with its neighbours, and makes distributed control decision based on the estimated consensus reference. The proposed approach allows robust consensus tracking in the presence of mismatched model uncertainties, and the tracking performance is characterised by an L2$\mathcal {L}_2$ index showing the effect of the unavailable reference for part of the networked agents. Sufficient conditions are given to ensure bounded output consensus tracking. Simulation results show satisfactory performances. Journal: International Journal of Systems Science Pages: 2367-2379 Issue: 13 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2014.998321 File-URL: http://hdl.handle.net/10.1080/00207721.2014.998321 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:13:p:2367-2379 Template-Type: ReDIF-Article 1.0 Author-Name: Jing Bai Author-X-Name-First: Jing Author-X-Name-Last: Bai Author-Name: Guoguang Wen Author-X-Name-First: Guoguang Author-X-Name-Last: Wen Author-Name: Ahmed Rahmani Author-X-Name-First: Ahmed Author-X-Name-Last: Rahmani Author-Name: Yongguang Yu Author-X-Name-First: Yongguang Author-X-Name-Last: Yu Title: Distributed formation control of fractional-order multi-agent systems with absolute damping and communication delay Abstract: The distributed formation control of fractional-order multi-agent systems is mainly studied under directed interaction topology in this paper. First, the control algorithm with absolute damping and communication delay is proposed to achieve the formation control. Then, some sufficient conditions are derived by using the matrix theory, graph theory and the frequency-domain analysis method. Finally, based on the numerical method of predictor–corrector, several simulations are presented to illustrate the effectiveness of the obtained results. Journal: International Journal of Systems Science Pages: 2380-2392 Issue: 13 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2014.998411 File-URL: http://hdl.handle.net/10.1080/00207721.2014.998411 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:13:p:2380-2392 Template-Type: ReDIF-Article 1.0 Author-Name: Langwen Zhang Author-X-Name-First: Langwen Author-X-Name-Last: Zhang Author-Name: Jingcheng Wang Author-X-Name-First: Jingcheng Author-X-Name-Last: Wang Author-Name: Bohui Wang Author-X-Name-First: Bohui Author-X-Name-Last: Wang Title: Distributed MPC of polytopic uncertain systems: handling quantised communication and packet dropouts Abstract: In this paper, we study the distributed model predictive control (MPC) of polytopic uncertain systems with quantised communication and packet dropouts. The model of the whole plant is divided into a certain number of incomplete subsystems. Due to the nature of the distributed control structure, there is generally a lack of information about the state of the overall system. Each subsystem shares its information with neighbour subsystems via reliable connection. Distributed MPC controllers are designed for each subsystem by solving the linear matrix inequalities optimisation problem. The distributed state feedback laws are quantised and transmitted via communication network. An iterative algorithm is presented to make coordination among distributed state feedback laws. The communication is assumed to be affected by random packet dropouts in a representation of Bernoulli distributed white sequences with known conditional probabilities. A case study is carried out to demonstrate the effectiveness of the proposed distributed MPC technique. Journal: International Journal of Systems Science Pages: 2393-2406 Issue: 13 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2014.998748 File-URL: http://hdl.handle.net/10.1080/00207721.2014.998748 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:13:p:2393-2406 Template-Type: ReDIF-Article 1.0 Author-Name: Rui Wang Author-X-Name-First: Rui Author-X-Name-Last: Wang Author-Name: Maszatul M. Mansor Author-X-Name-First: Maszatul M. Author-X-Name-Last: Mansor Author-Name: Robin C. Purshouse Author-X-Name-First: Robin C. Author-X-Name-Last: Purshouse Author-Name: Peter J. Fleming Author-X-Name-First: Peter J. Author-X-Name-Last: Fleming Title: An analysis of parameter sensitivities of preference-inspired co-evolutionary algorithms Abstract: Many-objective optimisation problems remain challenging for many state-of-the-art multi-objective evolutionary algorithms. Preference-inspired co-evolutionary algorithms (PICEAs) which co-evolve the usual population of candidate solutions with a family of decision-maker preferences during the search have been demonstrated to be effective on such problems. However, it is unknown whether PICEAs are robust with respect to the parameter settings. This study aims to address this question. First, a global sensitivity analysis method – the Sobol’ variance decomposition method – is employed to determine the relative importance of the parameters controlling the performance of PICEAs. Experimental results show that the performance of PICEAs is controlled for the most part by the number of function evaluations. Next, we investigate the effect of key parameters identified from the Sobol’ test and the genetic operators employed in PICEAs. Experimental results show improved performance of the PICEAs as more preferences are co-evolved. Additionally, some suggestions for genetic operator settings are provided for non-expert users. Journal: International Journal of Systems Science Pages: 2407-2420 Issue: 13 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2015.1008600 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1008600 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:13:p:2407-2420 Template-Type: ReDIF-Article 1.0 Author-Name: Chutiphon Pukdeboon Author-X-Name-First: Chutiphon Author-X-Name-Last: Pukdeboon Title: Inverse optimal sliding mode control of spacecraft with coupled translation and attitude dynamics Abstract: This paper proposes two robust inverse optimal control schemes for spacecraft with coupled translation and attitude dynamics in the presence of external disturbances. For the first controller, an inverse optimal control law is designed based on Sontag-type formula and the control Lyapunov function. Then a robust inverse optimal position and attitude controller is designed by using a new second-order integral sliding mode control method to combine a sliding mode control with the derived inverse optimal control. The global asymptotic stability of the proposed control law is proved by using the second method of Lyapunov. For the other control law, a nonlinear H∞ inverse optimal controller for spacecraft position and attitude tracking motion is developed to achieve the design conditions of controller gains that the control law becomes suboptimal H∞ state feedback control. The ultimate boundedness of system state is proved by using the Lyapunov stability theory. Both developed robust inverse optimal controllers can minimise a performance index and ensure the stability of the closed-loop system and external disturbance attenuation. An example of position and attitude tracking manoeuvres is presented and simulation results are included to show the performance of the proposed controllers. Journal: International Journal of Systems Science Pages: 2421-2438 Issue: 13 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2015.1011251 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1011251 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:13:p:2421-2438 Template-Type: ReDIF-Article 1.0 Author-Name: Xiushan Cai Author-X-Name-First: Xiushan Author-X-Name-Last: Cai Author-Name: Yang Liu Author-X-Name-First: Yang Author-X-Name-Last: Liu Author-Name: Wei Zhang Author-X-Name-First: Wei Author-X-Name-Last: Zhang Title: Asymptotic tracking control for a class of reference signals for linear differential inclusions Abstract: Tracking control for linear differential inclusions with disturbances is investigated in this paper. Based on the convex hull Lyapunov function, a feedback control law is designed such that the output of the closed-loop system without disturbances globally asymptotically tracks the desired reference signal. Under the bounded disturbances, the tracking error is bounded. An example is given to illustrate how to make the output of the closed-loop system track a sinusoidal signal, a cosine signal and a circular signal. The simulation shows the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1635-1642 Issue: 8 Volume: 45 Year: 2014 Month: 8 X-DOI: 10.1080/00207721.2012.748104 File-URL: http://hdl.handle.net/10.1080/00207721.2012.748104 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:8:p:1635-1642 Template-Type: ReDIF-Article 1.0 Author-Name: Tatsuya Yamazaki Author-X-Name-First: Tatsuya Author-X-Name-Last: Yamazaki Author-Name: Tomomichi Hagiwara Author-X-Name-First: Tomomichi Author-X-Name-Last: Hagiwara Title: Conversion of linear time-invariant time-delay feedback systems into delay-differential equations with commensurate delays Abstract: A new stability analysis method of time-delay systems (TDSs) called the monodromy operator approach has been studied under the assumption that a TDS is represented as a time-delay feedback system consisting of a finite-dimensional linear time-invariant (LTI) system and a pure delay. For applying this approach to TDSs described by delay-differential equations (DDEs), the problem of converting DDEs into representation as time-delay feedback systems has been studied. With regard to such a problem, it was shown that, under discontinuous initial functions, it is natural to define the solutions of DDEs in two different ways, and the above conversion problem was solved for each of these two definitions. More precisely, the solution of a DDE was represented as either the state of the finite-dimensional part of a time-delay feedback system or a part of the output of another time-delay feedback system, depending on which definition of the DDE solution one is talking about. Motivated by the importance in establishing a thorough relationship between time-delay feedback systems and DDEs, this paper discusses the opposite problem of converting time-delay feedback systems into representation as DDEs, including the discussions about the conversion of the initial conditions. We show that the state of (the finite-dimensional part of) a time-delay feedback system can be represented as the solution of a DDE in the sense of one of the two definitions, while its ‘essential’ output can be represented as that of another DDE in the sense of the other type of definition. Rigorously speaking, however, it is also shown that the latter representation is possible regardless of the initial conditions, while some initial condition could prevent the conversion into the former representation. This study hence establishes that the representation of TDSs as time-delay feedback systems possesses higher ability than that with DDEs, as description methods for LTI TDSs with commensurate delays. Journal: International Journal of Systems Science Pages: 1643-1656 Issue: 8 Volume: 45 Year: 2014 Month: 8 X-DOI: 10.1080/00207721.2012.748942 File-URL: http://hdl.handle.net/10.1080/00207721.2012.748942 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:8:p:1643-1656 Template-Type: ReDIF-Article 1.0 Author-Name: Danyu Bai Author-X-Name-First: Danyu Author-X-Name-Last: Bai Author-Name: Zhihai Zhang Author-X-Name-First: Zhihai Author-X-Name-Last: Zhang Title: On the asymptotic optimality and improved strategies of SPTB heuristic for open-shop scheduling problem Abstract: This article investigates the open-shop scheduling problem with the optimal criterion of minimising the sum of quadratic completion times. For this NP-hard problem, the asymptotic optimality of the shortest processing time block (SPTB) heuristic is proven in the sense of limit. Moreover, three different improvements, namely, the job-insert scheme, tabu search and genetic algorithm, are introduced to enhance the quality of the original solution generated by the SPTB heuristic. At the end of the article, a series of numerical experiments demonstrate the convergence of the heuristic, the performance of the improvements and the effectiveness of the quadratic objective. Journal: International Journal of Systems Science Pages: 1657-1667 Issue: 8 Volume: 45 Year: 2014 Month: 8 X-DOI: 10.1080/00207721.2012.748943 File-URL: http://hdl.handle.net/10.1080/00207721.2012.748943 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:8:p:1657-1667 Template-Type: ReDIF-Article 1.0 Author-Name: Pradip Kundu Author-X-Name-First: Pradip Author-X-Name-Last: Kundu Author-Name: Samarjit Kar Author-X-Name-First: Samarjit Author-X-Name-Last: Kar Author-Name: Manoranjan Maiti Author-X-Name-First: Manoranjan Author-X-Name-Last: Maiti Title: Multi-objective solid transportation problems with budget constraint in uncertain environment Abstract: This paper investigates multi-objective solid transportation problems (MOSTP) under various uncertain environments. The unit transportation penalties/costs are taken as random, fuzzy and hybrid variables respectively, in three different uncertain multi-objective solid transportation models and in each case, the supplies, demands and conveyance capacities are fuzzy. Also, apart from source, demand and capacity constraints, an extra constraint on the total budget at each destination is imposed. Chance-constrained programming technique has been used for the first two models to obtain crisp equivalent forms, whereas expected value model is formulated for the last. We provide an another approach using the interval approximation of fuzzy numbers for the first model to obtain its crisp form and compare numerically two approaches for this model. Fuzzy programming technique and a gradient based optimisation - generalised reduced gradient (GRG) method are applied to beget the optimal solutions. Three numerical examples are provided to illustrate the models and programming. Journal: International Journal of Systems Science Pages: 1668-1682 Issue: 8 Volume: 45 Year: 2014 Month: 8 X-DOI: 10.1080/00207721.2012.748944 File-URL: http://hdl.handle.net/10.1080/00207721.2012.748944 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:8:p:1668-1682 Template-Type: ReDIF-Article 1.0 Author-Name: Chunbin Qin Author-X-Name-First: Chunbin Author-X-Name-Last: Qin Author-Name: Huaguang Zhang Author-X-Name-First: Huaguang Author-X-Name-Last: Zhang Author-Name: Yanhong Luo Author-X-Name-First: Yanhong Author-X-Name-Last: Luo Author-Name: Binrui Wang Author-X-Name-First: Binrui Author-X-Name-Last: Wang Title: Finite horizon optimal control of non-linear discrete-time switched systems using adaptive dynamic programming with ε-error bound Abstract: In this paper, we aim to solve the finite-horizon optimal control problem for a class of non-linear discrete-time switched systems using adaptive dynamic programming(ADP) algorithm. A new ε-optimal control scheme based on the iterative ADP algorithm is presented which makes the value function converge iteratively to the greatest lower bound of all value function indices within an error according to ε within finite time. Two neural networks are used as parametric structures to implement the iterative ADP algorithm with ε-error bound, which aim at approximating the value function and the control policy, respectively. And then, the optimal control policy is obtained. Finally, a simulation example is included to illustrate the applicability of the proposed method. Journal: International Journal of Systems Science Pages: 1683-1693 Issue: 8 Volume: 45 Year: 2014 Month: 8 X-DOI: 10.1080/00207721.2012.748945 File-URL: http://hdl.handle.net/10.1080/00207721.2012.748945 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:8:p:1683-1693 Template-Type: ReDIF-Article 1.0 Author-Name: Deyun Wang Author-X-Name-First: Deyun Author-X-Name-Last: Wang Author-Name: Olivier Grunder Author-X-Name-First: Olivier Author-X-Name-Last: Grunder Author-Name: Abdellah EL Moudni Author-X-Name-First: Abdellah EL Author-X-Name-Last: Moudni Title: Using genetic algorithm for lot sizing and scheduling problem with arbitrary job volumes and distinct job due date considerations Abstract: This paper considers an integrated lot sizing and scheduling problem for a production–distribution environment with arbitrary job volumes and distinct due dates considerations. In the problem, jobs are firstly batch processed on a batching machine at production stage and then delivered to a pre-specified customer at the subsequent delivery stage by a capacitated vehicle. Each job is associated with a distinct due date and a distinct volume, and has to be delivered to the customer before its due date, i.e. delay is not allowed. The processing time of a batch is a constant independent of the jobs it contains. In production, a constant set-up time as well as a constant set-up cost is required before the first job of this batch is processed. In delivery, a constant delivery time as well as a constant delivery cost is needed for each round-trip delivery between the factory and the customer. Moreover, it is supposed that a job that arrives at the customer before its due date will incur a customer inventory cost. The objective is to find a coordinated lot sizing and scheduling scheme such that the total cost is minimised while guaranteeing a certain customer service level. A mixed integer formulation is proposed for this problem, and then a genetic algorithm is developed to solve it. To evaluate the performance of the proposed genetic algorithm, a lower bound on the objective value is established. Computational experiments show that the proposed genetic algorithm performs well on randomly generated problem instances. Journal: International Journal of Systems Science Pages: 1694-1707 Issue: 8 Volume: 45 Year: 2014 Month: 8 X-DOI: 10.1080/00207721.2012.748946 File-URL: http://hdl.handle.net/10.1080/00207721.2012.748946 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:8:p:1694-1707 Template-Type: ReDIF-Article 1.0 Author-Name: Florin Stoican Author-X-Name-First: Florin Author-X-Name-Last: Stoican Author-Name: Sorin Olaru Author-X-Name-First: Sorin Author-X-Name-Last: Olaru Author-Name: José A. De Doná Author-X-Name-First: José A. Author-X-Name-Last: De Doná Author-Name: María M. Seron Author-X-Name-First: María M. Author-X-Name-Last: Seron Title: A discussion on sensor recovery techniques for fault tolerant multisensor schemes Abstract: The present paper deals with the interplay between healthy and faulty sensor functioning in a multisensor scheme based on a switching control strategy. Fault tolerance guarantees have been recently obtained in this framework based upon the characterisation of invariant sets for state estimations in healthy and faulty functioning. A source of conservativeness of this approach is related to the issue of sensor recovery. A common working hypothesis has been to assume that once a sensor switches to faulty functioning it can no longer be used by the control mechanism even if at an ulterior moment it switches back to healthy functioning. In the current paper, we present necessary and sufficient conditions for the acknowledgement of sensor recovery and we propose and compare different techniques for the reintegration of sensors in the closed-loop decision-making mechanism. Journal: International Journal of Systems Science Pages: 1708-1722 Issue: 8 Volume: 45 Year: 2014 Month: 8 X-DOI: 10.1080/00207721.2012.748947 File-URL: http://hdl.handle.net/10.1080/00207721.2012.748947 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:8:p:1708-1722 Template-Type: ReDIF-Article 1.0 Author-Name: Nita H. Shah Author-X-Name-First: Nita H. Author-X-Name-Last: Shah Author-Name: Hardik N. Soni Author-X-Name-First: Hardik N. Author-X-Name-Last: Soni Author-Name: Jyoti Gupta Author-X-Name-First: Jyoti Author-X-Name-Last: Gupta Title: A note on ‘a replenishment policy for items with price-dependent demand, time-proportional deterioration and no shortages’ Abstract: In a recent paper, Begum et al. (2012, International Journal of Systems Science, 43, 903–910) established pricing and replenishment policy for an inventory system with price-sensitive demand rate, time-proportional deterioration rate which follows three parameters, Weibull distribution and no shortages. In their model formulation, it is observed that the retailer's stock level reaches zero before the deterioration occurs. Consequently, the model resulted in traditional inventory model with price sensitive demand rate and no shortages. Hence, the main purpose of this note is to modify and present complete model formulation for Begum et al. (2012). The proposed model is validated by a numerical example and the sensitivity analysis of parameters is carried out. Journal: International Journal of Systems Science Pages: 1723-1727 Issue: 8 Volume: 45 Year: 2014 Month: 8 X-DOI: 10.1080/00207721.2012.749434 File-URL: http://hdl.handle.net/10.1080/00207721.2012.749434 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:8:p:1723-1727 Template-Type: ReDIF-Article 1.0 Author-Name: Tuan V. Dinh Author-X-Name-First: Tuan V. Author-X-Name-Last: Dinh Author-Name: Lachlan L. H. Andrew Author-X-Name-First: Lachlan L. H. Author-X-Name-Last: Andrew Author-Name: Yoni Nazarathy Author-X-Name-First: Yoni Author-X-Name-Last: Nazarathy Title: Architecture and robustness tradeoffs in speed-scaled queues with application to energy management Abstract: We consider single-pass, lossless, queueing systems at steady-state subject to Poisson job arrivals at an unknown rate. Service rates are allowed to depend on the number of jobs in the system, up to a fixed maximum, and power consumption is an increasing function of speed. The goal is to control the state dependent service rates such that both energy consumption and delay are kept low. We consider a linear combination of the mean job delay and energy consumption as the performance measure. We examine both the ‘architecture’ of the system, which we define as a specification of the number of speeds that the system can choose from, and the ‘design’ of the system, which we define as the actual speeds available. Previous work has illustrated that when the arrival rate is precisely known, there is little benefit in introducing complex (multi-speed) architectures, yet in view of parameter uncertainty, allowing a variable number of speeds improves robustness. We quantify the tradeoffs of architecture specification with respect to robustness, analysing both global robustness and a newly defined measure which we call local robustness. Journal: International Journal of Systems Science Pages: 1728-1739 Issue: 8 Volume: 45 Year: 2014 Month: 8 X-DOI: 10.1080/00207721.2012.749435 File-URL: http://hdl.handle.net/10.1080/00207721.2012.749435 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:8:p:1728-1739 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaoxiang Hu Author-X-Name-First: Xiaoxiang Author-X-Name-Last: Hu Author-Name: Ligang Wu Author-X-Name-First: Ligang Author-X-Name-Last: Wu Author-Name: Changhua Hu Author-X-Name-First: Changhua Author-X-Name-Last: Hu Author-Name: Zhaoqiang Wang Author-X-Name-First: Zhaoqiang Author-X-Name-Last: Wang Author-Name: Huijun Gao Author-X-Name-First: Huijun Author-X-Name-Last: Gao Title: Dynamic output feedback control of a flexible air-breathing hypersonic vehicle via T–S fuzzy approach Abstract: By utilising Takagi–Sugeno (T–S) fuzzy set approach, this paper addresses the robust H∞ dynamic output feedback control for the non-linear longitudinal model of flexible air-breathing hypersonic vehicles (FAHVs). The flight control of FAHVs is highly challenging due to the unique dynamic characteristics, and the intricate couplings between the engine and fight dynamics and external disturbance. Because of the dynamics’ enormous complexity, currently, only the longitudinal dynamics models of FAHVs have been used for controller design. In this work, T–S fuzzy modelling technique is utilised to approach the non-linear dynamics of FAHVs, then a fuzzy model is developed for the output tracking problem of FAHVs. The fuzzy model contains parameter uncertainties and disturbance, which can approach the non-linear dynamics of FAHVs more exactly. The flexible models of FAHVs are difficult to measure because of the complex dynamics and the strong couplings, thus a full-order dynamic output feedback controller is designed for the fuzzy model. A robust H∞ controller is designed for the obtained closed-loop system. By utilising the Lyapunov functional approach, sufficient solvability conditions for such controllers are established in terms of linear matrix inequalities. Finally, the effectiveness of the proposed T–S fuzzy dynamic output feedback control method is demonstrated by numerical simulations. Journal: International Journal of Systems Science Pages: 1740-1756 Issue: 8 Volume: 45 Year: 2014 Month: 8 X-DOI: 10.1080/00207721.2012.749547 File-URL: http://hdl.handle.net/10.1080/00207721.2012.749547 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:8:p:1740-1756 Template-Type: ReDIF-Article 1.0 Author-Name: L.B. Xie Author-X-Name-First: L.B. Author-X-Name-Last: Xie Author-Name: S. Ozkul Author-X-Name-First: S. Author-X-Name-Last: Ozkul Author-Name: M. Sawant Author-X-Name-First: M. Author-X-Name-Last: Sawant Author-Name: L.S. Shieh Author-X-Name-First: L.S. Author-X-Name-Last: Shieh Author-Name: J.S.H. Tsai Author-X-Name-First: J.S.H. Author-X-Name-Last: Tsai Author-Name: C.H. Tsai Author-X-Name-First: C.H. Author-X-Name-Last: Tsai Title: Multi-rate digital redesign of cascaded and dynamic output feedback systems Abstract: In this paper, a new indirect digital redesign method is presented for multi-rate sampled-data control systems with cascaded and dynamic output feedback controllers. These analogue controllers are often pre-designed based on desirable frequency specifications, such as bandwidth, natural angular frequency, etc. To take advantage of the digital controller over the analogue controller, digital implementation of these analogue controllers are often desirable. As only measured input-output signals are available, an ideal state reconstructing algorithm is utilised to obtain the multi-rate discrete-time states of the original continuous-time system. Based on the Chebyshev quadrature method, the gains of the multi-rate cascaded and the output feedback digital controllers are determined from their continuous-time counterparts according to the different sampling rates employed in the different parts of the closed-loop system. As a result, the respective analogue controllers with the high-frequency and low-frequency characteristics can be implemented using the respective fast-rate sampling and slow-rate sampling digital controllers. Unlike the classical direct bilinear transform method, which is an open-loop direct digital redesign method, the proposed digital controllers take into account the state-matching of the original continuous-time closed-loop system and the digitally redesigned sampled-data closed-loop system. To further improve the state-matching performance, an improved digital redesign approach is also developed to construct the multi-rate cascaded and dynamic output feedback digital controllers. Illustrative examples are given to demonstrate the effectiveness of the developed methods. Journal: International Journal of Systems Science Pages: 1757-1768 Issue: 8 Volume: 45 Year: 2014 Month: 8 X-DOI: 10.1080/00207721.2012.752546 File-URL: http://hdl.handle.net/10.1080/00207721.2012.752546 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:8:p:1757-1768 Template-Type: ReDIF-Article 1.0 Author-Name: Kuo-Hsiung Wang Author-X-Name-First: Kuo-Hsiung Author-X-Name-Last: Wang Author-Name: Cheng-Dar Liou Author-X-Name-First: Cheng-Dar Author-X-Name-Last: Liou Author-Name: Ya-Lin Wang Author-X-Name-First: Ya-Lin Author-X-Name-Last: Wang Title: Profit optimisation of the multiple-vacation machine repair problem using particle swarm optimisation Abstract: This paper investigates a multiple-vacation M/M/1 warm-standby machine repair problem with an unreliable repairman. We first apply a matrix-analytic method to obtain the steady-state probabilities. Next, we construct the total expected profit per unit time and formulate an optimisation problem to find the maximum profit. The particle swarm optimisation (PSO) algorithm is implemented to determine the optimal number of warm standbys S* and the service rate μ* as well as vacation rate ν* simultaneously at the optimal maximum profit. We compare the searching results of the PSO algorithm with those of exhaustive search method to ensure the searching quality of the PSO algorithm. Sensitivity analysis with numerical illustrations is also provided. Journal: International Journal of Systems Science Pages: 1769-1780 Issue: 8 Volume: 45 Year: 2014 Month: 8 X-DOI: 10.1080/00207721.2012.757378 File-URL: http://hdl.handle.net/10.1080/00207721.2012.757378 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:8:p:1769-1780 Template-Type: ReDIF-Article 1.0 Author-Name: Wei Sun Author-X-Name-First: Wei Author-X-Name-Last: Sun Author-Name: Shiyong Li Author-X-Name-First: Shiyong Author-X-Name-Last: Li Title: Effect of information, uncertainty and parameter variability on profits in a queue with various pricing strategies Abstract: This paper presents an unobservable single-server queueing system with three types of uncertainty, where the service rate, or waiting cost or service quality is random variable that may obtain n(n > 2) values. The information about the realised values of parameters is only known to the server. We are concerned about the server’s behaviour: revealing or concealing the information to customers. The n-value assumption and the server’s behaviour enable us to consider various pricing strategies. In this paper, we analyse the effect of information and uncertainty on profits and make comparisons between the profits under different pricing strategies. Moreover, as for parameter variability reflected by the number of each parameter’s possible choices n, we observe the effect of variable n on all types of profits and find that revealing the parameter information can much more benefit the server with the increase of n. Journal: International Journal of Systems Science Pages: 1781-1798 Issue: 8 Volume: 45 Year: 2014 Month: 8 X-DOI: 10.1080/00207721.2012.757381 File-URL: http://hdl.handle.net/10.1080/00207721.2012.757381 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:8:p:1781-1798 Template-Type: ReDIF-Article 1.0 Author-Name: Sha-lei Zhan Author-X-Name-First: Sha-lei Author-X-Name-Last: Zhan Author-Name: Nan Liu Author-X-Name-First: Nan Author-X-Name-Last: Liu Author-Name: Yong Ye Author-X-Name-First: Yong Author-X-Name-Last: Ye Title: Coordinating efficiency and equity in disaster relief logistics via information updates Abstract: This paper addresses a multi-supplier, multi-affected area, multi-relief, and multi-vehicle relief allocation problem in disaster relief logistics. A multi-objective optimisation model based on disaster scenario information updates is proposed in an attempt to coordinate efficiency and equity through timely and appropriate decisions regarding issues such as vehicle routing and relief allocation. An optimal stopping rule is also proposed to determine the optimum period of delay before responding to disaster, because decision making requires accurate disaster information. The main contribution of this paper is solving relief allocation problem in a novel way by correlating operational research with statistical decision making and Bayesian sequential analysis. Finally, a case is presented based on the post-disaster rescue in Eastern China after supertyphoon Saomai to test the applicability and show the potential advantages of the proposed model. Journal: International Journal of Systems Science Pages: 1607-1621 Issue: 8 Volume: 45 Year: 2014 Month: 8 X-DOI: 10.1080/00207721.2013.777490 File-URL: http://hdl.handle.net/10.1080/00207721.2013.777490 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:8:p:1607-1621 Template-Type: ReDIF-Article 1.0 Author-Name: M. Hariharan Author-X-Name-First: M. Author-X-Name-Last: Hariharan Author-Name: Kemal Polat Author-X-Name-First: Kemal Author-X-Name-Last: Polat Author-Name: Sazali Yaacob Author-X-Name-First: Sazali Author-X-Name-Last: Yaacob Title: A new feature constituting approach to detection of vocal fold pathology Abstract: In the last two decades, non-invasive methods through acoustic analysis of voice signal have been proved to be excellent and reliable tool to diagnose vocal fold pathologies. This paper proposes a new feature vector based on the wavelet packet transform and singular value decomposition for the detection of vocal fold pathology. k-means clustering based feature weighting is proposed to increase the distinguishing performance of the proposed features. In this work, two databases Massachusetts Eye and Ear Infirmary (MEEI) voice disorders database and MAPACI speech pathology database are used. Four different supervised classifiers such as k-nearest neighbour (k-NN), least-square support vector machine, probabilistic neural network and general regression neural network are employed for testing the proposed features. The experimental results uncover that the proposed features give very promising classification accuracy of 100% for both MEEI database and MAPACI speech pathology database. Journal: International Journal of Systems Science Pages: 1622-1634 Issue: 8 Volume: 45 Year: 2014 Month: 8 X-DOI: 10.1080/00207721.2013.794905 File-URL: http://hdl.handle.net/10.1080/00207721.2013.794905 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:8:p:1622-1634 Template-Type: ReDIF-Article 1.0 Author-Name: Zaiyue Yang Author-X-Name-First: Zaiyue Author-X-Name-Last: Yang Author-Name: C.W. Chan Author-X-Name-First: C.W. Author-X-Name-Last: Chan Title: Conditional learning control for alignment initial condition Abstract: This article tries to handle the alignment initial condition for contraction mapping based iterative learning control, such that the system can operate continuously without any initial condition reset. This goal is achieved for a class of nonlinear systems through the proposed conditional learning control, which has several advantages over the alternative method, adaptive learning control. The conditional learning control guarantees that sufficient knowledge can be learned to update the input and achieve perfect output tracking, despite the non-identical initial conditions. The sufficient conditions of either monotonic or strictly monotonic convergence of the input sequence, and the choice of learning gains are given. The performance of the proposed method is illustrated by simulated examples. Journal: International Journal of Systems Science Pages: 399-407 Issue: 3 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.502262 File-URL: http://hdl.handle.net/10.1080/00207721.2010.502262 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:3:p:399-407 Template-Type: ReDIF-Article 1.0 Author-Name: Meng-Bi Cheng Author-X-Name-First: Meng-Bi Author-X-Name-Last: Cheng Author-Name: Wu-Chung Su Author-X-Name-First: Wu-Chung Author-X-Name-Last: Su Author-Name: Ching-Chih Tsai Author-X-Name-First: Ching-Chih Author-X-Name-Last: Tsai Title: Robust tracking control of a unicycle-type wheeled mobile manipulator using a hybrid sliding mode fuzzy neural network Abstract: This article presents a robust tracking controller for an uncertain mobile manipulator system. A rigid robotic arm is mounted on a wheeled mobile platform whose motion is subject to nonholonomic constraints. The sliding mode control (SMC) method is associated with the fuzzy neural network (FNN) to constitute a robust control scheme to cope with three types of system uncertainties; namely, external disturbances, modelling errors, and strong couplings in between the mobile platform and the onboard arm subsystems. All parameter adjustment rules for the proposed controller are derived from the Lyapunov theory such that the tracking error dynamics and the FNN weighting updates are ensured to be stable with uniform ultimate boundedness (UUB). Journal: International Journal of Systems Science Pages: 408-425 Issue: 3 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.502597 File-URL: http://hdl.handle.net/10.1080/00207721.2010.502597 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:3:p:408-425 Template-Type: ReDIF-Article 1.0 Author-Name: Jinliang Liu Author-X-Name-First: Jinliang Author-X-Name-Last: Liu Author-Name: Zhou Gu Author-X-Name-First: Zhou Author-X-Name-Last: Gu Author-Name: Engang Tian Author-X-Name-First: Engang Author-X-Name-Last: Tian Author-Name: Ruixia Yan Author-X-Name-First: Ruixia Author-X-Name-Last: Yan Title: New results on filter design for nonlinear systems with time-delay through a T-S fuzzy model approach Abstract: H∞ filter design for nonlinear systems with time-delay via a T-S fuzzy model approach is investigated based on a piecewise analysis method. Two cases of time-varying delays are fully considered: one is the time-varying delay being continuous uniformly bounded while the other is the time-varying delay being differentiable uniformly bounded with delay-derivative bounded by a constant. Based on a piecewise analysis method, the variation interval of the time delay is first divided into several subintervals, then the convexity property of the matrix inequality and the free weighting matrix method are fully used in this article. Some novel delay-dependent H∞ filtering criteria are expressed as a set of linear matrix inequalities, which can lead to much less conservative analysis results. Finally, a numerical example is given to illustrate that the results in this article are more effective and less conservative than some existing ones. Journal: International Journal of Systems Science Pages: 426-442 Issue: 3 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.502599 File-URL: http://hdl.handle.net/10.1080/00207721.2010.502599 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:3:p:426-442 Template-Type: ReDIF-Article 1.0 Author-Name: Kostas Oikonomou Author-X-Name-First: Kostas Author-X-Name-Last: Oikonomou Title: Analytical forms for most likely matrices derived from incomplete information Abstract: Consider a rectangular matrix describing some type of communication or transportation between a set of origins and a set of destinations, or a classification of objects by two attributes. The problem is to infer the entries of the matrix from limited information in the form of constraints, generally the sums of the elements over various subsets of the matrix, such as rows, columns, etc., or from bounds on these sums, down to individual elements. Such problems are routinely addressed by applying the maximum entropy method to compute the matrix numerically, but in this article we derive analytical, closed-form solutions. For the most complicated cases we consider the solution depends on the root of a non-linear equation, for which we provide an analytical approximation in the form of a power series. Some of our solutions extend to 3-dimensional matrices. Besides being valid for matrices of arbitrary size, the analytical solutions exhibit many of the appealing properties of maximum entropy, such as precise use of the available data, intuitive behaviour with respect to changes in the constraints, and logical consistency. Journal: International Journal of Systems Science Pages: 443-458 Issue: 3 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.502600 File-URL: http://hdl.handle.net/10.1080/00207721.2010.502600 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:3:p:443-458 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaobing Nie Author-X-Name-First: Xiaobing Author-X-Name-Last: Nie Author-Name: Jinde Cao Author-X-Name-First: Jinde Author-X-Name-Last: Cao Title: Existence and global stability of equilibrium point for delayed competitive neural networks with discontinuous activation functions Abstract: In this article, the issue of global stability is discussed for competitive neural networks with time-varying delay and discontinuous activation functions. First, a sufficient criterion is presented towards the existence and global asymptotic stability of an equilibrium point (EP), by employing the Leray–Schauder alternative theorem, linear matrix inequality technique and generalised Lyapunov function method. In particular, for the case where the activation functions are monotonic increasing, the above criterion also ensures the global exponential stability of an EP. Second, based on the properties of M-matrix, topological degree theory of set-valued map and generalised Lyapunov function method, some sufficient conditions are derived for checking the existence and global exponential stability of an EP. In doing so, the viability problem is investigated and the obtained results are delay-dependent and independent of each other. Finally, two examples with simulations are provided to demonstrate the effectiveness of our results. Journal: International Journal of Systems Science Pages: 459-474 Issue: 3 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.503945 File-URL: http://hdl.handle.net/10.1080/00207721.2010.503945 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:3:p:459-474 Template-Type: ReDIF-Article 1.0 Author-Name: J.-F. Yang Author-X-Name-First: J.-F. Author-X-Name-Last: Yang Author-Name: L.-F. Xiao Author-X-Name-First: L.-F. Author-X-Name-Last: Xiao Author-Name: J.-X. Qian Author-X-Name-First: J.-X. Author-X-Name-Last: Qian Author-Name: H. Li Author-X-Name-First: H. Author-X-Name-Last: Li Title: Nonlinear model predictive control using parameter varying BP-ARX combination model Abstract: A novel back-propagation AutoRegressive with eXternal input (BP-ARX) combination model is constructed for model predictive control (MPC) of MIMO nonlinear systems, whose steady-state relation between inputs and outputs can be obtained. The BP neural network represents the steady-state relation, and the ARX model represents the linear dynamic relation between inputs and outputs of the nonlinear systems. The BP-ARX model is a global model and is identified offline, while the parameters of the ARX model are rescaled online according to BP neural network and operating data. Sequential quadratic programming is employed to solve the quadratic objective function online, and a shift coefficient is defined to constrain the effect time of the recursive least-squares algorithm. Thus, a parameter varying nonlinear MPC (PVNMPC) algorithm that responds quickly to large changes in system set-points and shows good dynamic performance when system outputs approach set-points is proposed. Simulation results in a multivariable stirred tank and a multivariable pH neutralisation process illustrate the applicability of the proposed method and comparisons of the control effect between PVNMPC and multivariable recursive generalised predictive controller are also performed. Journal: International Journal of Systems Science Pages: 475-490 Issue: 3 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.517855 File-URL: http://hdl.handle.net/10.1080/00207721.2010.517855 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:3:p:475-490 Template-Type: ReDIF-Article 1.0 Author-Name: Shib Sankar Sana Author-X-Name-First: Shib Sankar Author-X-Name-Last: Sana Title: Price sensitive demand with random sales price – a newsboy problem Abstract: Up to now, many newsboy problems have been considered in the stochastic inventory literature. Some assume that stochastic demand is independent of selling price (p) and others consider the demand as a function of stochastic shock factor and deterministic sales price. This article introduces a price-dependent demand with stochastic selling price into the classical Newsboy problem. The proposed model analyses the expected average profit for a general distribution function of p and obtains an optimal order size. Finally, the model is discussed for various appropriate distribution functions of p and illustrated with numerical examples. Journal: International Journal of Systems Science Pages: 491-498 Issue: 3 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.517856 File-URL: http://hdl.handle.net/10.1080/00207721.2010.517856 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:3:p:491-498 Template-Type: ReDIF-Article 1.0 Author-Name: Yilun Shang Author-X-Name-First: Yilun Author-X-Name-Last: Shang Title: Finite-time consensus for multi-agent systems with fixed topologies Abstract: In this article, we study finite-time state consensus problems for continuous multi-agent systems with nonlinear protocols. Building on the theory of finite-time Lyapunov stability, we propose sufficient criteria which guarantee the system to reach a consensus in finite time, provided that the underlying directed network contains a spanning tree. Novel finite-time consensus protocols are introduced as examples for applying the criteria. Simulations are also presented to illustrate our theoretical results. Journal: International Journal of Systems Science Pages: 499-506 Issue: 3 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.517857 File-URL: http://hdl.handle.net/10.1080/00207721.2010.517857 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:3:p:499-506 Template-Type: ReDIF-Article 1.0 Author-Name: Sarada Yedida Author-X-Name-First: Sarada Author-X-Name-Last: Yedida Author-Name: Mubashir Munavar Author-X-Name-First: Mubashir Author-X-Name-Last: Munavar Author-Name: R. Ranjani Author-X-Name-First: R. Author-X-Name-Last: Ranjani Title: Warranty cost analysis using alternating quasi-renewal processes with a warranty option Abstract: This article analyses a repairable deteriorating system with quasi-renewal operating and repair times during warranty. To establish the importance of non-negligible repair times modelled with quasi-renewal processes in warranty cost analysis, a fixed warranty model is developed and the results are compared with an existing model using expected warranty cost. Sensitivity analysis and graphical illustrations are provided to highlight the effect of various cost parameters on the expected warranty cost by means of three different distributions. In order to examine the cost implications to the customer and manufacturer, an extended warranty model in which a manufacturer offers a warranty option to the customer with two different policies, has been proposed. Based on the long-run average cost per unit time, profit analysis has been carried out for the manufacturer as it is an essential aspect of warranty management. This article emphasises the incorporation of non-negligible ‘improved’ repair times during warranty. Journal: International Journal of Systems Science Pages: 507-517 Issue: 3 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.517858 File-URL: http://hdl.handle.net/10.1080/00207721.2010.517858 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:3:p:507-517 Template-Type: ReDIF-Article 1.0 Author-Name: Oshmita Dey Author-X-Name-First: Oshmita Author-X-Name-Last: Dey Author-Name: Debjani Chakraborty Author-X-Name-First: Debjani Author-X-Name-Last: Chakraborty Title: A single period inventory model with a truncated normally distributed fuzzy random variable demand Abstract: In this article, a single period inventory model has been considered in the mixed fuzzy random environment by assuming the annual customer demand to be a fuzzy random variable. Since assuming demand to be normally distributed implies that some amount of demand information is being automatically taken to be negative, the model has been developed for two cases, using the non-truncated and the truncated normal distributions. The problem has been developed to represent scenarios where the aim of the decision-maker is to determine the optimal order quantity such that the expected profit is greater than or equal to a predetermined target. This ‘greater than or equal to’ inequality has been modelled as a fuzzy inequality and a methodology has been developed to this effect. This methodology has been illustrated through a numerical example. Journal: International Journal of Systems Science Pages: 518-525 Issue: 3 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.517859 File-URL: http://hdl.handle.net/10.1080/00207721.2010.517859 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:3:p:518-525 Template-Type: ReDIF-Article 1.0 Author-Name: Gerardo Lara-Cisneros Author-X-Name-First: Gerardo Author-X-Name-Last: Lara-Cisneros Author-Name: Ricardo Femat Author-X-Name-First: Ricardo Author-X-Name-Last: Femat Author-Name: Elías Pérez Author-X-Name-First: Elías Author-X-Name-Last: Pérez Title: On dynamical behaviour of two-dimensional biological reactors Abstract: The dynamical behaviour for a generic two-dimensional model of a continuous bioreactor is studied in this article. The state variables for the bio-reacting system are restricted to concentrations of substrate and biomass, where the specific growth rate is a smooth function of the substrate concentration, which can be a kinetic function, monotone or non-monotone (as Monod, Haldane, Teissier, etc.). The effect of input (dilution rate) on multiplicity and bifurcation of equilibrium is shown in open-loop configuration. The absence of limit cycles on open-loop configuration and through state-feedback on the dilution rate are demonstrated. The aim of analysing oscillations under state feedback control is related to the possible improvement of reactor yields under this operation regime. An example for a cell-producing bioreactor illustrates the analytical results. Journal: International Journal of Systems Science Pages: 526-534 Issue: 3 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.517860 File-URL: http://hdl.handle.net/10.1080/00207721.2010.517860 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:3:p:526-534 Template-Type: ReDIF-Article 1.0 Author-Name: Hao Yang Author-X-Name-First: Hao Author-X-Name-Last: Yang Author-Name: Bin Jiang Author-X-Name-First: Bin Author-X-Name-Last: Jiang Author-Name: Marcel Staroswiecki Author-X-Name-First: Marcel Author-X-Name-Last: Staroswiecki Title: Fault recoverability analysis of switched systems Abstract: This article provides an approach to evaluate the fault recoverability of switched systems (SS) under given energetic constraints. Such evaluation reveals the capability of the SS to tolerate the worst faults over a prescribed set under possible energy constraints. The evaluation is achieved by using the smallest eigenvalue of a proposed ‘switched-system controllability Gramian’. Simulation results about a longitudinal flight control process example are presented to show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 535-542 Issue: 3 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.517861 File-URL: http://hdl.handle.net/10.1080/00207721.2010.517861 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:3:p:535-542 Template-Type: ReDIF-Article 1.0 Author-Name: Quanchao Dong Author-X-Name-First: Quanchao Author-X-Name-Last: Dong Author-Name: Maiying Zhong Author-X-Name-First: Maiying Author-X-Name-Last: Zhong Author-Name: Steven Ding Author-X-Name-First: Steven Author-X-Name-Last: Ding Title: Active fault tolerant control for a class of linear time-delay systems in finite frequency domain Abstract: This article deals with the problem of active fault tolerant control (AFTC) for a class of linear time-delay systems in a finite frequency domain. A new ℋ∞ controller in generalised internal model control architecture with an observer-based fault estimator is proposed for the AFTC system. Based on online fault estimation and accommodation, the closed-loop system stability and ℋ∞ performance for both fault free and faulty cases are guaranteed. With the aid of the generalised Kalman–Yakubovich–Popov lemma for time-delay systems, sufficient conditions on the existence of such an AFTC system ensuring simultaneous finite frequency estimation and control performance are derived. The calculation procedure of the parameter matrices of the fault estimator and ℋ∞ controller is also proposed. Finally, a numerical example is given to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 543-551 Issue: 3 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.517862 File-URL: http://hdl.handle.net/10.1080/00207721.2010.517862 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:3:p:543-551 Template-Type: ReDIF-Article 1.0 Author-Name: Jau-Chuan Ke Author-X-Name-First: Jau-Chuan Author-X-Name-Last: Ke Author-Name: Kai-Bin Huang Author-X-Name-First: Kai-Bin Author-X-Name-Last: Huang Author-Name: Wen Lea Pearn Author-X-Name-First: Wen Lea Author-X-Name-Last: Pearn Title: A batch arrival queue under randomised multi-vacation policy with unreliable server and repair Abstract: This article examines an M[x]/G/1 queueing system with an unreliable server and a repair, in which the server operates a randomised vacation policy with multiple available vacations. Upon the system being found to be empty, the server immediately takes a vacation. If there is at least one customer found waiting in the queue upon returning from a vacation, the server will be activated for service. Otherwise, if no customers are waiting for service at the end of a vacation, the server either remains idle with probability p or leaves for another vacation with probability 1 − p. When one or more customers arrive when the server is idle, the server immediately starts providing service for the arrivals. It is possible that an unpredictable breakdown may occur in the server, in which case a repair time is requested. For such a system, we derive the distributions of several important system characteristics, such as the system size distribution at a random epoch and at a departure epoch, the system size distribution at the busy period initiation epoch, and the distribution of the idle and busy periods. We perform a numerical analysis for changes in the system characteristics, along with changes in specific values of the system parameters. A cost effectiveness maximisation model is constructed to show the benefits of such a queueing system. Journal: International Journal of Systems Science Pages: 552-565 Issue: 3 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.517863 File-URL: http://hdl.handle.net/10.1080/00207721.2010.517863 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:3:p:552-565 Template-Type: ReDIF-Article 1.0 Author-Name: Shukai Li Author-X-Name-First: Shukai Author-X-Name-Last: Li Author-Name: Wansheng Tang Author-X-Name-First: Wansheng Author-X-Name-Last: Tang Author-Name: Jianxiong Zhang Author-X-Name-First: Jianxiong Author-X-Name-Last: Zhang Title: Guaranteed cost control of synchronisation for uncertain complex delayed networks Abstract: In this article, the synchronisation for a class of complex delayed dynamical networks with uncertain inner coupling configuration is investigated under the quadratic guaranteed cost control. The coupling delay and nodes delay are considered in the networks. Based on Lyapunov–Krasovskii stability theory, sufficient conditions for the existence of the optimal guaranteed cost control laws are given in terms of linear matrix inequalities. Under these sufficient conditions, the networks are globally asymptotically synchronous, and the optimal upper bound is also guaranteed. Numerical examples are given to illustrate the effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 566-575 Issue: 3 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.517865 File-URL: http://hdl.handle.net/10.1080/00207721.2010.517865 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:3:p:566-575 Template-Type: ReDIF-Article 1.0 Author-Name: Qiuli Liu Author-X-Name-First: Qiuli Author-X-Name-Last: Liu Author-Name: Hangsheng Tan Author-X-Name-First: Hangsheng Author-X-Name-Last: Tan Author-Name: Xianping Guo Author-X-Name-First: Xianping Author-X-Name-Last: Guo Title: Denumerable continuous-time Markov decision processes with multiconstraints on average costs Abstract: This article deals with multiconstrained continuous-time Markov decision processes in a denumerable state space, with unbounded cost and transition rates. The criterion to be optimised is the long-run expected average cost, and several kinds of constraints are imposed on some associated costs. The existence of a constrained optimal policy is ensured under suitable conditions by using a martingale technique and introducing an occupation measure. Furthermore, for the unichain model, we transform this multiconstrained problem into an equivalent linear programming problem, then construct a constrained optimal policy from an optimal solution to the linear programming. Finally, we use an example of a controlled queueing system to illustrate an application of our results. Journal: International Journal of Systems Science Pages: 576-585 Issue: 3 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.517868 File-URL: http://hdl.handle.net/10.1080/00207721.2010.517868 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:3:p:576-585 Template-Type: ReDIF-Article 1.0 Author-Name: Xiao-Jian Li Author-X-Name-First: Xiao-Jian Author-X-Name-Last: Li Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Dynamic output feedback control synthesis for stochastic time-delay systems Abstract: This article deals with the dynamic output feedback control synthesis problem for Itô-type stochastic time-delay systems. Our aim is to design a full order dynamic output feedback controller to achieve the desired control objectives. We will formulate the controller design problem as an H∞ optimisation problem in the mean-square sense. The main contributions of this article are as follows: (i) for stochastic systems, the design of a controller with multiple objectives can be addressed without employing a unique Lyapunov function; (ii) using an inequality technique and Finsler Lemma, we provide convex controller synthesis conditions described by linear matrix inequalities (LMIs). Some examples are presented to show the effectiveness of the developed theoretical results. Journal: International Journal of Systems Science Pages: 586-595 Issue: 3 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.517871 File-URL: http://hdl.handle.net/10.1080/00207721.2010.517871 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:3:p:586-595 Template-Type: ReDIF-Article 1.0 Author-Name: Y. L. Huang Author-X-Name-First: Y. L. Author-X-Name-Last: Huang Author-Name: S. X. Wang Author-X-Name-First: S. X. Author-X-Name-Last: Wang Title: Synchronisation in an array of spatial diffusion coupled reaction–diffusion neural networks via pinning control Abstract: The authors investigate pinning synchronisation for two spatial diffusion coupled reaction–diffusion neural networks under undirected and directed topologies. Combined with stability theory, some inequalities and Lyapunov functional method, several sufficient conditions are derived to assure the synchronisation of the considered networks by designing appropriate pinning controllers. It should be pointed out that a new type of spatial diffusion feedback pinning controller is designed in this paper. The correctness of the obtained results is confirmed by two simulation examples. Journal: International Journal of Systems Science Pages: 1103-1118 Issue: 5 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1431700 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1431700 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:5:p:1103-1118 Template-Type: ReDIF-Article 1.0 Author-Name: Le Anh Duc Author-X-Name-First: Le Anh Author-X-Name-Last: Duc Author-Name: Kenli Li Author-X-Name-First: Kenli Author-X-Name-Last: Li Author-Name: Tien Trong Nguyen Author-X-Name-First: Tien Trong Author-X-Name-Last: Nguyen Author-Name: Vu Minh Yen Author-X-Name-First: Vu Minh Author-X-Name-Last: Yen Author-Name: Tung Khac Truong Author-X-Name-First: Tung Khac Author-X-Name-Last: Truong Title: A new effective operator for the hybrid algorithm for solving global optimisation problems Abstract: Hybrid algorithms have been recently used to solve complex single-objective optimisation problems. The ultimate goal is to find an optimised global solution by using these algorithms. Based on the existing algorithms (HP_CRO, PSO, RCCRO), this study proposes a new hybrid algorithm called MPC (Mean-PSO-CRO), which utilises a new Mean-Search Operator. By employing this new operator, the proposed algorithm improves the search ability on areas of the solution space that the other operators of previous algorithms do not explore. Specifically, the Mean-Search Operator helps find the better solutions in comparison with other algorithms. Moreover, the authors have proposed two parameters for balancing local and global search and between various types of local search, as well. In addition, three versions of this operator, which use different constraints, are introduced. The experimental results on 23 benchmark functions, which are used in previous works, show that our framework can find better optimal or close-to-optimal solutions with faster convergence speed for most of the benchmark functions, especially the high-dimensional functions. Thus, the proposed algorithm is more effective in solving single-objective optimisation problems than the other existing algorithms. Journal: International Journal of Systems Science Pages: 1088-1102 Issue: 5 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1432780 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1432780 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:5:p:1088-1102 Template-Type: ReDIF-Article 1.0 Author-Name: Zuolin Liu Author-X-Name-First: Zuolin Author-X-Name-Last: Liu Author-Name: Jian Xu Author-X-Name-First: Jian Author-X-Name-Last: Xu Title: A Galerkin discretisation-based identification for parameters in nonlinear mechanical systems Abstract: In the paper, a new parameter identification method is proposed for mechanical systems. Based on the idea of Galerkin finite-element method, the displacement over time history is approximated by piecewise linear functions, and the second-order terms in model equation are eliminated by integrating by parts. In this way, the lost function of integration form is derived. Being different with the existing methods, the lost function actually is a quadratic sum of integration over the whole time history. Then for linear or nonlinear systems, the optimisation of the lost function can be applied with traditional least-squares algorithm or the iterative one, respectively. Such method could be used to effectively identify parameters in linear and arbitrary nonlinear mechanical systems. Simulation results show that even under the condition of sparse data or low sampling frequency, this method could still guarantee high accuracy in identifying linear and nonlinear parameters. Journal: International Journal of Systems Science Pages: 908-919 Issue: 5 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1432781 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1432781 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:5:p:908-919 Template-Type: ReDIF-Article 1.0 Author-Name: Chaoqun Duan Author-X-Name-First: Chaoqun Author-X-Name-Last: Duan Author-Name: Chao Deng Author-X-Name-First: Chao Author-X-Name-Last: Deng Author-Name: Bingran Wang Author-X-Name-First: Bingran Author-X-Name-Last: Wang Title: Optimal maintenance policy incorporating system level and unit level for mechanical systems Abstract: The study works on a multi-level maintenance policy combining system level and unit level under soft and hard failure modes. The system experiences system-level preventive maintenance (SLPM) when the conditional reliability of entire system exceeds SLPM threshold, and also undergoes a two-level maintenance for each single unit, which is initiated when a single unit exceeds its preventive maintenance (PM) threshold, and the other is performed simultaneously the moment when any unit is going for maintenance. The units experience both periodic inspections and aperiodic inspections provided by failures of hard-type units. To model the practical situations, two types of economic dependence have been taken into account, which are set-up cost dependence and maintenance expertise dependence due to the same technology and tool/equipment can be utilised. The optimisation problem is formulated and solved in a semi-Markov decision process framework. The objective is to find the optimal system-level threshold and unit-level thresholds by minimising the long-run expected average cost per unit time. A formula for the mean residual life is derived for the proposed multi-level maintenance policy. The method is illustrated by a real case study of feed subsystem from a boring machine, and a comparison with other policies demonstrates the effectiveness of our approach. Journal: International Journal of Systems Science Pages: 1074-1087 Issue: 5 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1432782 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1432782 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:5:p:1074-1087 Template-Type: ReDIF-Article 1.0 Author-Name: Shuzhen Luo Author-X-Name-First: Shuzhen Author-X-Name-Last: Luo Author-Name: Panlong Tan Author-X-Name-First: Panlong Author-X-Name-Last: Tan Author-Name: Qinglin Sun Author-X-Name-First: Qinglin Author-X-Name-Last: Sun Author-Name: Wannan Wu Author-X-Name-First: Wannan Author-X-Name-Last: Wu Author-Name: Haowen Luo Author-X-Name-First: Haowen Author-X-Name-Last: Luo Author-Name: Zengqiang Chen Author-X-Name-First: Zengqiang Author-X-Name-Last: Chen Title: In-flight wind identification and soft landing control for autonomous unmanned powered parafoils Abstract: For autonomous unmanned powered parafoil, the ability to perform a final flare manoeuvre against the wind direction can allow a considerable reduction of horizontal and vertical velocities at impact, enabling a soft landing for a safe delivery of sensible loads; the lack of knowledge about the surface-layer winds will result in messing up terminal flare manoeuvre. Moreover, unknown or erroneous winds can also prevent the parafoil system from reaching the target area. To realize accurate trajectory tracking and terminal soft landing in the unknown wind environment, an efficient in-flight wind identification method merely using Global Positioning System (GPS) data and recursive least square method is proposed to online identify the variable wind information. Furthermore, a novel linear extended state observation filter is proposed to filter the groundspeed of the powered parafoil system calculated by the GPS information to provide a best estimation of the present wind during flight. Simulation experiments and real airdrop tests demonstrate the great ability of this method to in-flight identify the variable wind field, and it can benefit the powered parafoil system to fulfil accurate tracking control and a soft landing in the unknown wind field with high landing accuracy and strong wind-resistance ability. Journal: International Journal of Systems Science Pages: 929-946 Issue: 5 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1433245 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1433245 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:5:p:929-946 Template-Type: ReDIF-Article 1.0 Author-Name: M. Allouche Author-X-Name-First: M. Author-X-Name-Last: Allouche Author-Name: K. Dahech Author-X-Name-First: K. Author-X-Name-Last: Dahech Author-Name: M. Chaabane Author-X-Name-First: M. Author-X-Name-Last: Chaabane Author-Name: D. Mehdi Author-X-Name-First: D. Author-X-Name-Last: Mehdi Title: Fuzzy observer-based control for maximum power-point tracking of a photovoltaic system Abstract: This paper presents a novel fuzzy control design method for maximum power-point tracking (MPPT) via a Takagi and Sugeno (TS) fuzzy model-based approach. A knowledge-dynamic model of the PV system is first developed leading to a TS representation by a simple convex polytopic transformation. Then, based on this exact fuzzy representation, a H∞ observer-based fuzzy controller is proposed to achieve MPPT even when we consider varying climatic conditions. A specified TS reference model is designed to generate the optimum trajectory which must be tracked to ensure maximum power operation. The controller and observer gains are obtained in a one-step procedure by solving a set of linear matrix inequalities (LMIs). The proposed method has been compared with some classical MPPT techniques taking into account convergence speed and tracking accuracy. Finally, various simulation and experimental tests have been carried out to illustrate the effectiveness of the proposed TS fuzzy MPPT strategy. Journal: International Journal of Systems Science Pages: 1061-1073 Issue: 5 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1433246 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1433246 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:5:p:1061-1073 Template-Type: ReDIF-Article 1.0 Author-Name: Ping Ma Author-X-Name-First: Ping Author-X-Name-Last: Ma Author-Name: Feng Ding Author-X-Name-First: Feng Author-X-Name-Last: Ding Author-Name: Quanmin Zhu Author-X-Name-First: Quanmin Author-X-Name-Last: Zhu Title: Decomposition-based recursive least squares identification methods for multivariate pseudo-linear systems using the multi-innovation Abstract: This paper studies the parameter estimation algorithms of multivariate pseudo-linear autoregressive systems. A decomposition-based recursive generalised least squares algorithm is deduced for estimating the system parameters by decomposing the multivariate pseudo-linear autoregressive system into two subsystems. In order to further improve the parameter accuracy, a decomposition based multi-innovation recursive generalised least squares algorithm is developed by means of the multi-innovation theory. The simulation results confirm that these two algorithms are effective. Journal: International Journal of Systems Science Pages: 920-928 Issue: 5 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1433247 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1433247 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:5:p:920-928 Template-Type: ReDIF-Article 1.0 Author-Name: H. B. Liu Author-X-Name-First: H. B. Author-X-Name-Last: Liu Author-Name: D. Q. Wang Author-X-Name-First: D. Q. Author-X-Name-Last: Wang Title: Stability and stabilisation of a class of networked dynamic systems Abstract: We investigate the stability and stabilisation of a linear time invariant networked heterogeneous system with arbitrarily connected subsystems. A new linear matrix inequality based sufficient and necessary condition for the stability is derived, based on which the stabilisation is provided. The obtained conditions efficiently utilise the block-diagonal characteristic of system parameter matrices and the sparseness of subsystem connection matrix. Moreover, a sufficient condition only dependent on each individual subsystem is also presented for the stabilisation of the networked systems with a large scale. Numerical simulations show that these conditions are computationally valid in the analysis and synthesis of a large-scale networked system. Journal: International Journal of Systems Science Pages: 964-973 Issue: 5 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1433898 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1433898 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:5:p:964-973 Template-Type: ReDIF-Article 1.0 Author-Name: Wenying Hou Author-X-Name-First: Wenying Author-X-Name-Last: Hou Author-Name: Zongze Wu Author-X-Name-First: Zongze Author-X-Name-Last: Wu Author-Name: Minyue Fu Author-X-Name-First: Minyue Author-X-Name-Last: Fu Author-Name: Huanshui Zhang Author-X-Name-First: Huanshui Author-X-Name-Last: Zhang Title: Constrained consensus of discrete-time multi-agent systems with time delay Abstract: In this paper, we consider the consensus conditions for discrete-time multi-agent systems with communication delay between agents, subject to that each agent's state is constrained to lie in a given convex set. And we will present some consensus conditions for unconstrained multi-agent systems with time delay. Journal: International Journal of Systems Science Pages: 947-953 Issue: 5 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1433899 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1433899 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:5:p:947-953 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaoyan Qin Author-X-Name-First: Xiaoyan Author-X-Name-Last: Qin Author-Name: Huifang Min Author-X-Name-First: Huifang Author-X-Name-Last: Min Title: State feedback stabilisation for stochastic high-order feedforward nonlinear systems with input time-delay Abstract: This paper devotes to solve the problem of state feedback stabilisation for a class of stochastic high-order feedforward nonlinear systems with input time-delay. First, the delay-dependent control input is skillfully handled by using variable transformation technique. Then, by introducing the homogeneous domination approach and the appropriate Lyapunov--Krasovskii functional to deal with the time-delay, we construct a state feedback controller through a backstepping recursive design. It is shown that the proposed controller can guarantee the closed-loop system to be globally asymptotically stable (GAS) in probability. Finally, an example is given to verify the effectiveness of the obtained analytical results. Journal: International Journal of Systems Science Pages: 1012-1020 Issue: 5 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1435836 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1435836 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:5:p:1012-1020 Template-Type: ReDIF-Article 1.0 Author-Name: Haijuan Zhao Author-X-Name-First: Haijuan Author-X-Name-Last: Zhao Author-Name: Yugang Niu Author-X-Name-First: Yugang Author-X-Name-Last: Niu Author-Name: Jun Song Author-X-Name-First: Jun Author-X-Name-Last: Song Title: Finite-time output feedback control of uncertain switched systems via sliding mode design Abstract: The problem of sliding mode control (SMC) is investigated for a class of uncertain switched systems subject to unmeasurable state and assigned finite (possible short) time constraint. A key issue is how to ensure the finite-time boundedness (FTB) of system state during reaching phase and sliding motion phase. To this end, a state observer is constructed to estimate the unmeasured states. And then, a state estimate-based SMC law is designed such that the state trajectories can be driven onto the specified integral sliding surface during the assigned finite time interval. By means of partitioning strategy, the corresponding FTB over reaching phase and sliding motion phase are guaranteed and the sufficient conditions are derived via average dwell time technique. Finally, an illustrative example is given to illustrate the proposed method. Journal: International Journal of Systems Science Pages: 984-996 Issue: 5 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1435838 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1435838 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:5:p:984-996 Template-Type: ReDIF-Article 1.0 Author-Name: Yue-Zhu Yin Author-X-Name-First: Yue-Zhu Author-X-Name-Last: Yin Author-Name: Zhong-Lian Yang Author-X-Name-First: Zhong-Lian Author-X-Name-Last: Yang Author-Name: Zhi-Xiang Yin Author-X-Name-First: Zhi-Xiang Author-X-Name-Last: Yin Author-Name: Feng Xu Author-X-Name-First: Feng Author-X-Name-Last: Xu Title: Optimal control of LQR for discrete time-varying systems with input delays Abstract: In this work, we consider the optimal control problem of linear quadratic regulation for discrete time-variant systems with single input and multiple input delays. An innovative and simple method to derive the optimal controller is given. The studied problem is first equivalently converted into a problem subject to a constraint condition. Last, with the established duality, the problem is transformed into a static mathematical optimisation problem without input delays. The optimal control input solution to minimise performance index function is derived by solving this optimisation problem with two methods. A numerical simulation example is carried out and its results show that our two approaches are both feasible and very effective. Journal: International Journal of Systems Science Pages: 1021-1031 Issue: 5 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1438535 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1438535 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:5:p:1021-1031 Template-Type: ReDIF-Article 1.0 Author-Name: Linlin Hou Author-X-Name-First: Linlin Author-X-Name-Last: Hou Author-Name: Mingzhou Zhang Author-X-Name-First: Mingzhou Author-X-Name-Last: Zhang Author-Name: Xudong Zhao Author-X-Name-First: Xudong Author-X-Name-Last: Zhao Author-Name: Haibin Sun Author-X-Name-First: Haibin Author-X-Name-Last: Sun Author-Name: Guangdeng Zong Author-X-Name-First: Guangdeng Author-X-Name-Last: Zong Title: Stability of discrete-time switched systems with admissible edge-dependent switching signals Abstract: The problem of stability is studied in this paper for a class of discrete-time switched systems with unstable subsystems. Two new definitions of slow switching and fast switching on the basis of admissible edge-dependent average dwell time are proposed, respectively. Some conditions are established by using multiple Lyapunov function method to guarantee the global uniform exponential stability of discrete-time switched systems. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 974-983 Issue: 5 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1439122 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1439122 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:5:p:974-983 Template-Type: ReDIF-Article 1.0 Author-Name: Ya-Li Zhi Author-X-Name-First: Ya-Li Author-X-Name-Last: Zhi Author-Name: Yong He Author-X-Name-First: Yong Author-X-Name-Last: He Author-Name: Jianhua Shen Author-X-Name-First: Jianhua Author-X-Name-Last: Shen Author-Name: Min Wu Author-X-Name-First: Min Author-X-Name-Last: Wu Title: New stability criteria of singular systems with time-varying delay via free-matrix-based integral inequality Abstract: This paper concerns the stability problem of singular systems with time-varying delay. First, the singular system with time-varying delay is transformed into the neutral system with time-varying delay. Second, a more proper Lyapunov–Krasovskii functional (LKF) is constructed by adding some integral terms to quadratic forms. Then, to obtain less conservative conditions, the free-matrix-based integral inequality is adopted to estimate the derivative of LKF. As a result, some delay-dependent stability criteria are given in terms of linear matrix inequalities. Finally, two numerical examples are provided to demonstrate the effectiveness and superiority of the proposed method. Journal: International Journal of Systems Science Pages: 1032-1039 Issue: 5 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1439123 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1439123 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:5:p:1032-1039 Template-Type: ReDIF-Article 1.0 Author-Name: Syed Imranul Islam Author-X-Name-First: Syed Imranul Author-X-Name-Last: Islam Author-Name: Cheng-Chew Lim Author-X-Name-First: Cheng-Chew Author-X-Name-Last: Lim Author-Name: Peng Shi Author-X-Name-First: Peng Author-X-Name-Last: Shi Title: Functional observer-based fuzzy controller design for continuous nonlinear systems Abstract: This paper presents a novel method of synthesising controllers for nonlinear systems represented by Takagi--Sugeno fuzzy model using functional observer. The proposed method uses minimum order observer for estimating the control input of each rule as a function of states. Existence conditions of the functional observer-based controller are provided in the form of rank equality conditions. The stability conditions of the observer are obtained using quadratic Lyapunov function, and the conditions are presented in the form of linear matrix inequalities. Observer parameters can be obtained by solving these inequalities. Finally, systematic synthesis procedures for constructing the observer are presented. Examples with simulation output are given to demonstrate this method and to compare its performance with a conventional full-state observer-based controller. Journal: International Journal of Systems Science Pages: 1047-1060 Issue: 5 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1440026 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1440026 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:5:p:1047-1060 Template-Type: ReDIF-Article 1.0 Author-Name: I. Aksikas Author-X-Name-First: I. Author-X-Name-Last: Aksikas Author-Name: A. Alizadeh Moghadam Author-X-Name-First: A. Alizadeh Author-X-Name-Last: Moghadam Author-Name: J. F. Forbes Author-X-Name-First: J. F. Author-X-Name-Last: Forbes Title: Optimal control of coupled parabolic–hyperbolic non-autonomous PDEs: infinite-dimensional state-space approach Abstract: This paper deals with the design of an optimal state-feedback linear-quadratic (LQ) controller for a system of coupled parabolic–hypebolic non-autonomous partial differential equations (PDEs). The infinite-dimensional state space representation and the corresponding operator Riccati differential equation are used to solve the control problem. Dynamical properties of the coupled system of interest are analysed to guarantee the existence and uniqueness of the solution of the LQ-optimal control problem and also to guarantee the exponential stability of the closed-loop system. Thanks to the eigenvalues and eigenfunctions of the parabolic operator and also the fact that the hyperbolic-associated operator Riccati differential equation can be converted to a scalar Riccati PDE, an algorithm to solve the LQ control problem has been presented. The results are applied to a non-isothermal packed-bed catalytic reactor. The LQ optimal controller designed in the early portion of the paper is implemented for the original non-linear model. Numerical simulations are performed to show the controller performances. Journal: International Journal of Systems Science Pages: 897-907 Issue: 5 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1440027 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1440027 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:5:p:897-907 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaochen Xie Author-X-Name-First: Xiaochen Author-X-Name-Last: Xie Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Author-Name: Panshuo Li Author-X-Name-First: Panshuo Author-X-Name-Last: Li Title: H∞ control problem of linear periodic piecewise time-delay systems Abstract: This paper investigates the H∞ control problem based on exponential stability and weighted L2-gain analyses for a class of continuous-time linear periodic piecewise systems with time delay. A periodic piecewise Lyapunov–Krasovskii functional is developed by integrating a discontinuous time-varying matrix function with two global terms. By applying the improved constraints to the stability and L2-gain analyses, sufficient delay-dependent exponential stability and weighted L2-gain criteria are proposed for the periodic piecewise time-delay system. Based on these analyses, an H∞ control scheme is designed under the considerations of periodic state feedback control input and iterative optimisation. Finally, numerical examples are presented to illustrate the effectiveness of our proposed conditions. Journal: International Journal of Systems Science Pages: 997-1011 Issue: 5 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1440028 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1440028 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:5:p:997-1011 Template-Type: ReDIF-Article 1.0 Author-Name: Carmen Coll Author-X-Name-First: Carmen Author-X-Name-Last: Coll Author-Name: Elena Sánchez Author-X-Name-First: Elena Author-X-Name-Last: Sánchez Title: An N-periodic control for coupled systems Abstract: This paper analyses the stabilisation of two coupled systems described by difference equations via an N-periodic feedback control. For this, it is considered a discrete-time approach with two compartmental systems, where each system has communication with the other one. An N-periodic controller is proposed to attenuate the interconnections affecting to stability of the process. It is designed so in each interval of amplitude N, the control is only added at initial time and there is no control in the rest of the time. This feedback control ensures the stability of the closed-loop system. Finally, an example is given to illustrate the theoretical results. Journal: International Journal of Systems Science Pages: 1040-1046 Issue: 5 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1441468 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1441468 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:5:p:1040-1046 Template-Type: ReDIF-Article 1.0 Author-Name: Qixun Lan Author-X-Name-First: Qixun Author-X-Name-Last: Lan Author-Name: Chuanlin Zhang Author-X-Name-First: Chuanlin Author-X-Name-Last: Zhang Author-Name: Shihua Li Author-X-Name-First: Shihua Author-X-Name-Last: Li Title: Global decentralised stabilisation for a class of uncertain large-scale high-order upper-triangular nonlinear systems Abstract: This paper considers the global decentralised stabilisation problem for a class of uncertain large-scale high-order upper-triangular nonlinear systems. First, a local linear decentralised controller is recursively constructed based on the generalised homogeneous system theory and the adding a power integrator method. Second, aiming for global stabilisation, a series of nested saturation functions are integrated with the proposed local linear decentralised controller. Then, it is proved that the obtained decentralised saturated controller will render the whole closed-loop system globally asymptotically stable. Due to the flexibility of the generalised homogeneous method, the proposed control approach not only weakens the existing restrictions imposed on the interconnected nonlinearities, but also can be applied to a more general class of upper-triangular nonlinear systems. Furthermore, two simulations examples are conducted to show the effectiveness of the proposed control scheme. Journal: International Journal of Systems Science Pages: 1123-1135 Issue: 6 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1239143 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1239143 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:6:p:1123-1135 Template-Type: ReDIF-Article 1.0 Author-Name: Jian Shen Author-X-Name-First: Jian Author-X-Name-Last: Shen Author-Name: Weiqun Wang Author-X-Name-First: Weiqun Author-X-Name-Last: Wang Title: Stability and positive observer design for positive 2D discrete-time system with multiple delays Abstract: This paper addresses the problems of stability and positive observation for positive two-dimensional (2D) discrete-time systems in Roesser model with multiple delays. A novel proof is provided for the necessary and sufficient conditions of asymptotic stability for the positive 2D systems. Based on the obtained results, necessary and sufficient conditions are proposed for the existence of a 2D positive observer. All the proposed conditions are in terms of linear matrix inequalities. Journal: International Journal of Systems Science Pages: 1136-1145 Issue: 6 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1239144 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1239144 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:6:p:1136-1145 Template-Type: ReDIF-Article 1.0 Author-Name: Dharma Aryani Author-X-Name-First: Dharma Author-X-Name-Last: Aryani Author-Name: Liuping Wang Author-X-Name-First: Liuping Author-X-Name-Last: Wang Author-Name: Tharindu Patikirikorala Author-X-Name-First: Tharindu Author-X-Name-Last: Patikirikorala Title: On identification of Hammerstein and Wiener model with application to virtualised software system Abstract: This paper proposes a system identification method for estimating virtualised software system dynamics within the framework of a Hammerstein–Wiener model. Building on the authors’ previous work in identification and control of the software systems, the approach utilises frequency sampling filter structure to describe the linear dynamics and B-spline curve functions for the inverse static output nonlinearity. Furthermore, the issue on parameter selection for B-spline model approximation of scatter data is addressed by using a data clustering method. An experimental test-bed of virtualised software system is established to generate real observational data which are used to confirm the performance of the proposed approach. The identification results have shown that the model efficacy is increased with the proposed approach because the dimension of the nonlinear model can be significantly reduced while maintaining the desired accuracy. Journal: International Journal of Systems Science Pages: 1146-1161 Issue: 6 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1244303 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1244303 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:6:p:1146-1161 Template-Type: ReDIF-Article 1.0 Author-Name: Zhe Li Author-X-Name-First: Zhe Author-X-Name-Last: Li Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Correlation-based fault-tolerant controller design for MIMO systems under the Youla parameterisation Abstract: This paper develops a correlation-based method into the Youla parameterisation structure for a fault-tolerant controller design strategy. By tuning the Youla parameters with the proposed correlation-based algorithm, a number of conditional faults described by the dual Youla parameters are attenuated. The traditional fault-tolerant control (FTC) schemes under the Youla parameterisation often require the gradient information of the defined cost function for minimisation, which is either tedious or even unfeasible with unknown fault model. However, the proposed correlation-based FTC algorithm in this paper can compensate the faults via system data without the explicit fault model or the cost function gradient information. It is also proved that the algorithm convergence can be achieved without identifying the unknown fault model. For illustration, a simulation example with corresponding comparisons are presented to show the effectiveness of the proposed method in the end. Journal: International Journal of Systems Science Pages: 1162-1172 Issue: 6 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1244304 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1244304 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:6:p:1162-1172 Template-Type: ReDIF-Article 1.0 Author-Name: Changyin Sun Author-X-Name-First: Changyin Author-X-Name-Last: Sun Author-Name: Qing Wang Author-X-Name-First: Qing Author-X-Name-Last: Wang Author-Name: Yao Yu Author-X-Name-First: Yao Author-X-Name-Last: Yu Title: Robust output containment control of multi-agent systems with unknown heterogeneous nonlinear uncertainties in directed networks Abstract: Output containment problem for high-order nonlinear time-invariant multi-agent systems in directed networks is investigated in this paper. The output is related with the observation matrix. The dimensions of observation matrix are extended so that it is non-singular. Then the containment problem is transformed into stability problem. The model of each agent is constructed by a nominal system combined with uncertainties. A robust controller, which includes a nominal controller and a robust compensator, is proposed to achieve output containment and restrain external uncertainties. The nominal controller is based on the output feedback and the nominal system constructed by the nominal controller contains desired containment properties. The robust compensator design is based on robust signal compensation technology for restraining the effects of external disturbances. A sufficient condition on the output containment is proposed and the containment errors can be made as small as desired with the expected convergence rate. Finally, numerical simulation is presented to demonstrate the effectiveness of the control method. Journal: International Journal of Systems Science Pages: 1173-1181 Issue: 6 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1244306 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1244306 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:6:p:1173-1181 Template-Type: ReDIF-Article 1.0 Author-Name: Hao Lu Author-X-Name-First: Hao Author-X-Name-Last: Lu Author-Name: Cunjia Liu Author-X-Name-First: Cunjia Author-X-Name-Last: Liu Author-Name: Lei Guo Author-X-Name-First: Lei Author-X-Name-Last: Guo Author-Name: Wen-Hua Chen Author-X-Name-First: Wen-Hua Author-X-Name-Last: Chen Title: Constrained anti-disturbance control for a quadrotor based on differential flatness Abstract: The classical control design based on linearised model is widely used in practice even to those inherently nonlinear systems. Although linear design techniques are relatively mature and enjoy the simple structure in implementations, they can be prone to misbehaviour and failure when the system state is far away from the operating point. To avoid the drawbacks and exploit the advantages of linear design methods while tackling the system nonlinearity, a hybrid control structure is developed in this paper. First, the model predictive control is used to impose states and inputs constraints on the linearised model, which makes the linearisation satisfy the small-perturbation requirement and reduces the bound of linearisation error. On the other hand, a combination of disturbance observer-based control and H∞ control, called composite hierarchical anti-disturbance control, is constructed for the linear model to provide robustness against multiple disturbances. The constrained reference states and inputs generated by the outer-loop model predictive controller are asymptotically tracked by the inner-loop composite anti-disturbance controller. To demonstrate the performance of the proposed framework, a case study on quadrotor is conducted. Journal: International Journal of Systems Science Pages: 1182-1193 Issue: 6 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1244307 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1244307 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:6:p:1182-1193 Template-Type: ReDIF-Article 1.0 Author-Name: Qamar Din Author-X-Name-First: Qamar Author-X-Name-Last: Din Title: Global stability and Neimark-Sacker bifurcation of a host-parasitoid model Abstract: We investigate qualitative behaviour of a density-dependent discrete-time host-parasitoid model. Particularly, we study boundedness of solutions, existence and uniqueness of positive steady-state, local and global asymptotic stability of the unique positive equilibrium point and rate of convergence of modified host-parasitoid model. Moreover, it is also proved that the system undergoes Neimark-Sacker bifurcation with the help of bifurcation theory. Finally, numerical simulations are provided to illustrate theoretical results. These results of numerical simulations demonstrate chaotic long-term behaviour over a broad range of parameters. The computation of the maximum Lyapunov exponents confirm the presence of chaotic behaviour in the model. Journal: International Journal of Systems Science Pages: 1194-1202 Issue: 6 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1244308 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1244308 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:6:p:1194-1202 Template-Type: ReDIF-Article 1.0 Author-Name: F. Bianchi Author-X-Name-First: F. Author-X-Name-Last: Bianchi Author-Name: A. Falsone Author-X-Name-First: A. Author-X-Name-Last: Falsone Author-Name: M. Prandini Author-X-Name-First: M. Author-X-Name-Last: Prandini Author-Name: L. Piroddi Author-X-Name-First: L. Author-X-Name-Last: Piroddi Title: A randomised approach for NARX model identification based on a multivariate Bernoulli distribution Abstract: The identification of polynomial NARX models is typically performed by incremental model building techniques. These methods assess the importance of each regressor based on the evaluation of partial individual models, which may ultimately lead to erroneous model selections. A more robust assessment of the significance of a specific model term can be obtained by considering ensembles of models, as done by the RaMSS algorithm. In that context, the identification task is formulated in a probabilistic fashion and a Bernoulli distribution is employed to represent the probability that a regressor belongs to the target model. Then, samples of the model distribution are collected to gather reliable information to update it, until convergence to a specific model. The basic RaMSS algorithm employs multiple independent univariate Bernoulli distributions associated to the different candidate model terms, thus overlooking the correlations between different terms, which are typically important in the selection process. Here, a multivariate Bernoulli distribution is employed, in which the sampling of a given term is conditioned by the sampling of the others. The added complexity inherent in considering the regressor correlation properties is more than compensated by the achievable improvements in terms of accuracy of the model selection process. Journal: International Journal of Systems Science Pages: 1203-1216 Issue: 6 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1244309 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1244309 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:6:p:1203-1216 Template-Type: ReDIF-Article 1.0 Author-Name: Wenhui Liu Author-X-Name-First: Wenhui Author-X-Name-Last: Liu Author-Name: Chunjie Yang Author-X-Name-First: Chunjie Author-X-Name-Last: Yang Author-Name: Youxian Sun Author-X-Name-First: Youxian Author-X-Name-Last: Sun Author-Name: Jiaxiang Qin Author-X-Name-First: Jiaxiang Author-X-Name-Last: Qin Title: Observer-based event-triggered containment control of multi-agent systems with time delay Abstract: This paper studies the containment control of general linear multi-agent systems with or without time delay. The observer-based event-triggered control schemes will be considered. For the conventional distributed containment control protocol, we will not update the relative state continuously, i.e. the relative state will be updated by some events which happen intermittently. A completely decentralised event trigger will be designed for leader–follower systems. Under the proposed protocol, if we design some appropriate feedback gain matrices, all followers will asymptotically converge to the convex hull spanned by the dynamic leaders. Numerical simulations are also provided and the results show highly consistent with the theoretical results. Journal: International Journal of Systems Science Pages: 1217-1225 Issue: 6 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1249036 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1249036 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:6:p:1217-1225 Template-Type: ReDIF-Article 1.0 Author-Name: Honghong Wang Author-X-Name-First: Honghong Author-X-Name-Last: Wang Author-Name: Bing Chen Author-X-Name-First: Bing Author-X-Name-Last: Chen Author-Name: Chong Lin Author-X-Name-First: Chong Author-X-Name-Last: Lin Author-Name: Yumei Sun Author-X-Name-First: Yumei Author-X-Name-Last: Sun Title: Adaptive fuzzy output-feedback control for a class of nonlinear pure-feedback systems with time delays Abstract: This paper investigates observer-based adaptive fuzzy control for a class of delayed nonlinear systems in pure-feedback form. We first proposed a linear observer to get the estimation of the system's state. And then utilise fuzzy logic systems to model those nonlinearities. Further, adaptive fuzzy approach and backstepping technique are combined to develop the desired controller via Lyapunov analysis. The suggested adaptive fuzzy control scheme ensures that all the signals of the resulting nonlinear system converge to a small neighbourhood of the origin. Then a real simulation is used to illustrated the effectiveness of our results. Journal: International Journal of Systems Science Pages: 1242-1253 Issue: 6 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1250970 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1250970 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:6:p:1242-1253 Template-Type: ReDIF-Article 1.0 Author-Name: Fangzheng Gao Author-X-Name-First: Fangzheng Author-X-Name-Last: Gao Author-Name: Yuqiang Wu Author-X-Name-First: Yuqiang Author-X-Name-Last: Wu Title: Finite-time output feedback stabilisation for a class of feedforward nonlinear systems with input saturation Abstract: This paper considers the problem of global finite-time stabilisation by output feedback for a class of feedforward (upper triangular) nonlinear systems with input saturation. Based on the finite-time stability theorem, and by skillfully using the homogeneous domination approach and the nested saturation technique, a saturated output feedback controller is successfully constructed, which renders the origin of the closed-loop system globally finite-time stable. In simulation studies, a numerical example is illustrated to show the effectiveness of the control scheme. Moreover, the design strategy is successfully applied to solve the saturated finite-time control problem for vertical wheel on rotating table. Journal: International Journal of Systems Science Pages: 1254-1265 Issue: 6 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1250972 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1250972 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:6:p:1254-1265 Template-Type: ReDIF-Article 1.0 Author-Name: Wei Zhang Author-X-Name-First: Wei Author-X-Name-Last: Zhang Author-Name: Yagang Wang Author-X-Name-First: Yagang Author-X-Name-Last: Wang Author-Name: Weidong Zhang Author-X-Name-First: Weidong Author-X-Name-Last: Zhang Title: Optimal disturbance rejection controller design for integrating processes with dead time based on algebraic theory Abstract: In this paper, an H2 optimal input-load disturbance rejection (ILDR) controller for integrating processes with dead time is proposed based on the internal model control principle. The main contribution of this work is that the optimal solution under ILDR criterion for integrating processes with dead time and input constant disturbances has been derived based on algebraic theory. To further improve the performance for both set-point tracking and input disturbance rejection, a two-degree-of-freedom (TDOF) control design method has also been developed. Compared with previous advanced control methods, the proposed design method has three main advantages. First, the optimal ILDR controller is derived systematically on the basis of algebraic theory. The designed controller is given in an analytical form. Second, a simple tune principle is developed. The set-point tracking performance specification and robustness stability specification can be quantitatively achieved by monotonously tuning the performance degree in the designed controller. Finally, both optimal set-point tracking performance and input disturbance rejection can be achieved by the proposed TDOF control structure. Numerical simulations are given to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1266-1280 Issue: 6 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1252442 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1252442 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:6:p:1266-1280 Template-Type: ReDIF-Article 1.0 Author-Name: Ahmadreza Argha Author-X-Name-First: Ahmadreza Author-X-Name-Last: Argha Author-Name: Li Li Author-X-Name-First: Li Author-X-Name-Last: Li Author-Name: Steven W. Su Author-X-Name-First: Steven Author-X-Name-Last: W. Su Title: Sliding mode stabilisation of networked systems with consecutive data packet dropouts using only accessible information Abstract: This paper develops a novel stabilising sliding mode for systems involving uncertainties as well as measurement data packet dropouts. In contrast to the existing literature that designs the switching function by using unavailable system states, a novel linear sliding function is constructed by employing only the available communicated system states for the systems involving measurement packet losses. This also equips us with the possibility to build a novel switching component for discrete-time sliding mode control (DSMC) by using only available system states. Finally, using a numerical example, we evaluate the performance of the designed DSMC for networked systems. Journal: International Journal of Systems Science Pages: 1291-1300 Issue: 6 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1252444 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1252444 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:6:p:1291-1300 Template-Type: ReDIF-Article 1.0 Author-Name: Mahima Gupta Author-X-Name-First: Mahima Author-X-Name-Last: Gupta Author-Name: B. K. Mohanty Author-X-Name-First: B. K. Author-X-Name-Last: Mohanty Title: Finding the numerical compensation in multiple criteria decision-making problems under fuzzy environment Abstract: In this paper, we have developed a methodology to derive the level of compensation numerically in multiple criteria decision-making (MCDM) problems under fuzzy environment. The degree of compensation is dependent on the tranquility and anxiety level experienced by the decision-maker while taking the decision. Higher tranquility leads to the higher realisation of the compensation whereas the increased level of anxiety reduces the amount of compensation in the decision process. This work determines the level of tranquility (or anxiety) using the concept of fuzzy sets and its various level sets. The concepts of indexing of fuzzy numbers, the risk barriers and the tranquility level of the decision-maker are used to derive his/her risk prone or risk averse attitude of decision-maker in each criterion. The aggregation of the risk levels in each criterion gives us the amount of compensation in the entire MCDM problem. Inclusion of the compensation leads us to model the MCDM problem as binary integer programming problem (BIP). The solution to BIP gives us the compensatory decision to MCDM. The proposed methodology is illustrated through a numerical example. Journal: International Journal of Systems Science Pages: 1301-1310 Issue: 6 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1252990 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1252990 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:6:p:1301-1310 Template-Type: ReDIF-Article 1.0 Author-Name: Yejun Xu Author-X-Name-First: Yejun Author-X-Name-Last: Xu Author-Name: Dou Rui Author-X-Name-First: Dou Author-X-Name-Last: Rui Author-Name: Huimin Wang Author-X-Name-First: Huimin Author-X-Name-Last: Wang Title: A dynamically weight adjustment in the consensus reaching process for group decision-making with hesitant fuzzy preference relations Abstract: The consensus reaching process is a dynamic and iterative process for improving group's consensus level before making a final decision in group decision-making (GDM). As the experts will express their opinions under their own intellectual level from different aspects, it is natural that the experts’ weights should reflect their judgment information. This paper proposes a dynamic way to adjust weights of decision-makers (DMs) automatically when they are asked to give original judgment information for GDM problems, in which the DMs express their judgment information by hesitant fuzzy preference relations (HFPRs). Two indices, an individual consensus index of hesitant fuzzy preference relation (ICIHFPR) and a group consensus index of hesitant fuzzy preference relation (GCIHFPR), are introduced. Normalisation of HFPRs with different numbers of possible values is taken into consideration for better computation and comparison. An iterative consensus reaching algorithm is presented with DMs’ weighting vector changing in each consensus reaching process and the process terminates until both the ICIHFPR and GCIHFPR are controlled within predefined thresholds. Finally, an example is illustrated and comparative analyses demonstrate the effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 1311-1321 Issue: 6 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1255803 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1255803 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:6:p:1311-1321 Template-Type: ReDIF-Article 1.0 Author-Name: Weijun Xu Author-X-Name-First: Weijun Author-X-Name-Last: Xu Author-Name: Rongxin Jiang Author-X-Name-First: Rongxin Author-X-Name-Last: Jiang Author-Name: Li Xie Author-X-Name-First: Li Author-X-Name-Last: Xie Author-Name: Xiang Tian Author-X-Name-First: Xiang Author-X-Name-Last: Tian Author-Name: Yaowu Chen Author-X-Name-First: Yaowu Author-X-Name-Last: Chen Title: Adaptive square-root transformed unscented FastSLAM with KLD-resampling Abstract: The FastSLAM relies on particles sampled from the proposal distribution of underlying Rao–Blackwellized particle filter, and its performance is significantly influenced by the quality and quantity of the particles. In this paper, a new improved FastSLAM is proposed based on transformed unscented Kalman filter (TUKF) and Kullback–Leibler distance (KLD) resampling method. In the proposed algorithm, a square-root extension of TUKF is used to calculate the proposal distribution and to generate credible particles. In addition, during the resampling process, the minimum required number of particles is determined adaptively by bounding the KLD error between the sample-based approximation and true posterior distribution of the robot state. Both numerical simulations and real-world dataset experiments are used to evaluate the performance of the proposed algorithm. The results indicate that the proposed algorithm achieves higher estimation accuracy and computational efficiency than conventional approaches. Journal: International Journal of Systems Science Pages: 1322-1330 Issue: 6 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1256449 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1256449 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:6:p:1322-1330 Template-Type: ReDIF-Article 1.0 Author-Name: Zhiyao Ma Author-X-Name-First: Zhiyao Author-X-Name-Last: Ma Author-Name: Yongming Li Author-X-Name-First: Yongming Author-X-Name-Last: Li Author-Name: Shaocheng Tong Author-X-Name-First: Shaocheng Author-X-Name-Last: Tong Title: Observer-based fuzzy adaptive fault control for a class of MIMO nonlinear systems Abstract: In this paper, the fault-tolerant control (FTC) problem is investigated for a class of multi-input multiple output nonlinear systems with time-varying delays, and an active FTC method is proposed. The controlled system contains unknown nonlinear functions, unknown control gain functions and actuator faults, which integrates time-varying bias and gain faults. Then, fuzzy logic systems are used to approximate the unknown nonlinear functions and unknown control gain functions, fuzzy adaptive observers are used for fault detection and isolation. Further, based on the obtained information, an accommodation method is proposed for compensating the actuator faults. It is shown that all the variables of the closed-loop system are semi-globally uniformly bounded, the tracking error converges to an arbitrary small neighbourhood of the origin. A simulation is given to demonstrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 1331-1346 Issue: 6 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1261306 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1261306 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:6:p:1331-1346 Template-Type: ReDIF-Article 1.0 Author-Name: Sha-lei Zhan Author-X-Name-First: Sha-lei Author-X-Name-Last: Zhan Author-Name: Nan Liu Author-X-Name-First: Nan Author-X-Name-Last: Liu Title: Determining the optimal decision time of relief allocation in response to disaster via relief demand updates Abstract: Relief allocation has recently attracted increased interest in research. Most studies in the literature have not focused on the trade-off between demand forecast accuracy and relief allocation efficiency. Thus, we employ the Bayesian updating framework, which allows the decision-maker to postpone his decision until sufficient accurate demand information is available. Different from the previous studies, we propose a novel method of relief demand updating, and devise a lost function as a function of time delay. Then, we develop a relief allocation model as an optimal stopping problem, to determine the optimal delay in response to typhoon disaster. Finally, the proposed model is applied to a case of post-disaster rescue. The computational results indicate the potential advantages of the model. Journal: International Journal of Systems Science Pages: 509-520 Issue: 3 Volume: 47 Year: 2016 Month: 2 X-DOI: 10.1080/00207721.2014.891665 File-URL: http://hdl.handle.net/10.1080/00207721.2014.891665 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:3:p:509-520 Template-Type: ReDIF-Article 1.0 Author-Name: Nadir Fergani Author-X-Name-First: Nadir Author-X-Name-Last: Fergani Author-Name: Abdelfatah Charef Author-X-Name-First: Abdelfatah Author-X-Name-Last: Charef Title: Process step response based fractional PID controller parameters tuning for desired closed loop response Abstract: In this paper, a tuning method of the fractional PIλDμ controllers for classical feedback control systems is proposed. The PIλDμ controller design strategy is drawn up such that the closed loop system is equivalent to a desired fractional order model whose transfer function is Bode's ideal function Gd(s)=11+s/ωum$G_d {\rm (}s{\rm )} = \frac{{\rm 1}}{{{\rm 1} + \left( {s/\omega _u } \right)^m }}$, a widely used function in the fractional order control domain because of its iso-damping property which is an important robustness feature. In this tuning technique, the values of the five parameters of the fractional PIλDμ controller are derived analytically using only the step response of a stable process without requirement of its model. The derived formulations of the tuning technique are presented. Illustrative examples are given to test the effectiveness and the usefulness of the proposed PIλDμ controller tuning approach. Journal: International Journal of Systems Science Pages: 521-532 Issue: 3 Volume: 47 Year: 2016 Month: 2 X-DOI: 10.1080/00207721.2014.891667 File-URL: http://hdl.handle.net/10.1080/00207721.2014.891667 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:3:p:521-532 Template-Type: ReDIF-Article 1.0 Author-Name: Fuyang Chen Author-X-Name-First: Fuyang Author-X-Name-Last: Chen Author-Name: Ling Cai Author-X-Name-First: Ling Author-X-Name-Last: Cai Author-Name: Bin Jiang Author-X-Name-First: Bin Author-X-Name-Last: Jiang Author-Name: Gang Tao Author-X-Name-First: Gang Author-X-Name-Last: Tao Title: Direct self-repairing control for a helicopter via quantum multi-model and disturbance observer Abstract: In this paper, a new direct self-repairing control scheme is developed for a helicopter flight control system with unknown actuator faults and external disturbance. The design of multi-model-based adaptive control is used to accommodate the faulty system under different fault conditions. By appropriate switching based on quantum information technique, the system can be converted to the best model and the corresponding controller. Asymptotic model following performance and system stability is guaranteed. A disturbance observer is introduced to observe the disturbance of the system, which can produce corresponding control signals according to the disturbance. The results including a numerical simulation and a semi-physical verification demonstrate the effectiveness of the proposed self-repairing control approach for the helicopter flight control system. Journal: International Journal of Systems Science Pages: 533-543 Issue: 3 Volume: 47 Year: 2016 Month: 2 X-DOI: 10.1080/00207721.2014.891669 File-URL: http://hdl.handle.net/10.1080/00207721.2014.891669 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:3:p:533-543 Template-Type: ReDIF-Article 1.0 Author-Name: Gwo-Ji Sheen Author-X-Name-First: Gwo-Ji Author-X-Name-Last: Sheen Author-Name: Shih-Yen Wang Author-X-Name-First: Shih-Yen Author-X-Name-Last: Wang Author-Name: Yingchieh Yeh Author-X-Name-First: Yingchieh Author-X-Name-Last: Yeh Title: The impact of the distance-dependent promotional effect on the promotion cost sharing decision Abstract: This paper considers the promotion cost sharing decision between a supplier and a retailer. The customer demand is affected by both national and local promotional effects while the local promotional effect on a customer is dependent on the distance between the retailer and this customer. We propose a continuous approximation approach to modelling the sum of the customer demand in the whole market area served by the retailer. A model is provided to help managers decide on the retail price, the local advertising expenditure, the national advertising expenditure, and the supplier participation rate, with consideration of the influence of distance on the promotional effect. We also find that the supplier's promotion cost sharing rate increases as the market size increases or the influence of distance on the promotional effect decreases. A numerical example is given to show that the nature of distance-dependent promotional effect has a significant impact on the decisions and profits. Journal: International Journal of Systems Science Pages: 544-560 Issue: 3 Volume: 47 Year: 2016 Month: 2 X-DOI: 10.1080/00207721.2014.891670 File-URL: http://hdl.handle.net/10.1080/00207721.2014.891670 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:3:p:544-560 Template-Type: ReDIF-Article 1.0 Author-Name: Yong Wang Author-X-Name-First: Yong Author-X-Name-Last: Wang Author-Name: Xiaoling Jin Author-X-Name-First: Xiaoling Author-X-Name-Last: Jin Author-Name: Zhilong Huang Author-X-Name-First: Zhilong Author-X-Name-Last: Huang Title: Non-linear stochastic optimal control of acceleration parametrically excited systems Abstract: Acceleration parametrical excitations have not been taken into account due to the lack of physical significance in macroscopic structures. The explosive development of microtechnology and nanotechnology, however, motivates the investigation of the acceleration parametrically excited systems. The adsorption and desorption effects dramatically change the mass of nano-sized structures, which significantly reduces the precision of nanoscale sensors or can be reasonably utilised to detect molecular mass. This manuscript proposes a non-linear stochastic optimal control strategy for stochastic systems with acceleration parametric excitation based on stochastic averaging of energy envelope and stochastic dynamic programming principle. System acceleration is approximately expressed as a function of system displacement in a short time range under the conditions of light damping and weak excitations, and the acceleration parametrically excited system is shown to be equivalent to a constructed system with an additional displacement parametric excitation term. Then, the controlled system is converted into a partially averaged Itô equation with respect to the total system energy through stochastic averaging of energy envelope, and the optimal control strategy for the averaged system is derived from solving the associated dynamic programming equation. Numerical results for a controlled Duffing oscillator indicate the efficacy of the proposed control strategy. Journal: International Journal of Systems Science Pages: 561-571 Issue: 3 Volume: 47 Year: 2016 Month: 2 X-DOI: 10.1080/00207721.2014.891671 File-URL: http://hdl.handle.net/10.1080/00207721.2014.891671 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:3:p:561-571 Template-Type: ReDIF-Article 1.0 Author-Name: Yu-Chung Tsao Author-X-Name-First: Yu-Chung Author-X-Name-Last: Tsao Title: Joint location, inventory, and preservation decisions for non-instantaneous deterioration items under delay in payments Abstract: This study models a joint location, inventory and preservation decision-making problem for non-instantaneous deteriorating items under delay in payments. An outside supplier provides a credit period to the wholesaler which has a distribution system with distribution centres (DCs). The non-instantaneous deteriorating means no deterioration occurs in the earlier stage, which is very useful for items such as fresh food and fruits. This paper also considers that the deteriorating rate will decrease and the reservation cost will increase as the preservation effort increases. Therefore, how much preservation effort should be made is a crucial decision. The objective of this paper is to determine the optimal locations and number of DCs, the optimal replenishment cycle time at DCs, and the optimal preservation effort simultaneously such that the total network profit is maximised. The problem is formulated as piecewise nonlinear functions and has three different cases. Algorithms based on piecewise nonlinear optimisation are provided to solve the joint location and inventory problem for all cases. Computational analysis illustrates the solution procedures and the impacts of the related parameters on decisions and profits. The results of this study can serve as references for business managers or administrators. Journal: International Journal of Systems Science Pages: 572-585 Issue: 3 Volume: 47 Year: 2016 Month: 2 X-DOI: 10.1080/00207721.2014.891672 File-URL: http://hdl.handle.net/10.1080/00207721.2014.891672 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:3:p:572-585 Template-Type: ReDIF-Article 1.0 Author-Name: Jonas C.P. Yu Author-X-Name-First: Jonas C.P. Author-X-Name-Last: Yu Author-Name: Kung-Jeng Wang Author-X-Name-First: Kung-Jeng Author-X-Name-Last: Wang Author-Name: Yu-Siang Lin Author-X-Name-First: Yu-Siang Author-X-Name-Last: Lin Title: Managing dual warehouses with an incentive policy for deteriorating items Abstract: Distributors in a supply chain usually limit their own warehouse in finite capacity for cost reduction and excess stock is held in a rent warehouse. In this study, we examine inventory control for deteriorating items in a two-warehouse setting. Assuming that there is an incentive offered by a rent warehouse that allows the rental fee to decrease over time, the objective of this study is to maximise the joint profit of the manufacturer and the distributor. An optimisation procedure is developed to derive the optimal joint economic lot size policy. Several criteria are identified to select the most appropriate warehouse configuration and inventory policy on the basis of storage duration of materials in a rent warehouse. Sensitivity analysis is done to examine the results of model robustness. The proposed model enables a manufacturer with a channel distributor to coordinate the use of alternative warehouses, and to maximise the joint profit of the manufacturer and the distributor. Journal: International Journal of Systems Science Pages: 586-602 Issue: 3 Volume: 47 Year: 2016 Month: 2 X-DOI: 10.1080/00207721.2014.891673 File-URL: http://hdl.handle.net/10.1080/00207721.2014.891673 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:3:p:586-602 Template-Type: ReDIF-Article 1.0 Author-Name: Chang-Cong Zhou Author-X-Name-First: Chang-Cong Author-X-Name-Last: Zhou Author-Name: Zhen-Zhou Lu Author-X-Name-First: Zhen-Zhou Author-X-Name-Last: Lu Author-Name: Ji-Xiang Hu Author-X-Name-First: Ji-Xiang Author-X-Name-Last: Hu Author-Name: Ming Yuan Author-X-Name-First: Ming Author-X-Name-Last: Yuan Title: Response CDF sensitivity and its solution based on sparse grid integration Abstract: The sensitivity of the cumulative distribution function (CDF) of the response with respect to the input parameters is studied in this work, to quantify how the model output is affected by input uncertainty. To solve the response CDF sensitivity more efficiently, a novel method based on the sparse grid integration (SGI) is proposed. The response CDF sensitivity is transformed into expressions involving probability moments, which can be efficiently estimated by the SGI technique. Once the response CDF sensitivity at one percentile level of the response is obtained, the sensitivity values at any other percentile level can be immediately obtained with no further call to the performance function. The proposed method finds a good balance between the computational burden and accuracy, and is applicable for engineering problems involving implicit performance functions. The characteristics and effectiveness of the proposed method are demonstrated by several engineering examples. Discussions on these examples have also validated the significance of the response CDF sensitivity for the purpose of variable screening and ranking. Journal: International Journal of Systems Science Pages: 603-616 Issue: 3 Volume: 47 Year: 2016 Month: 2 X-DOI: 10.1080/00207721.2014.891775 File-URL: http://hdl.handle.net/10.1080/00207721.2014.891775 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:3:p:603-616 Template-Type: ReDIF-Article 1.0 Author-Name: Toshio Yoshimura Author-X-Name-First: Toshio Author-X-Name-Last: Yoshimura Title: Design of an adaptive fuzzy sliding mode control for uncertain discrete-time nonlinear systems based on noisy measurements Abstract: This paper presents the design of an adaptive fuzzy sliding mode control (AFSMC) for uncertain discrete-time nonlinear dynamic systems. The dynamic systems are described by a discrete-time state equation with nonlinear uncertainties, and the uncertainties include the modelling errors and the external disturbances to be unknown but nonlinear with the bounded properties. The states are measured by the restriction of measurement sensors and the contamination with independent measurement noises. The nonlinear uncertainties are approximated by using the fuzzy IF-THEN rules based on the universal approximation theorem, and the approximation error is compensated by adding an adaptive complementary term to the proposed AFSMC. The fuzzy inference approach based on the extended single input rule modules is proposed to reduce the number of the fuzzy IF-THEN rules. The estimates for the un-measurable states and the adjustable parameters are obtained by using the weighted least squares estimator and its simplified one. It is proved that under some conditions the estimation errors will remain in the vicinity of zero as time increases, and the states are ultimately bounded subject to the proposed AFSMC. The effectiveness of the proposed method is indicated through the simulation experiment of a simple numerical system. Journal: International Journal of Systems Science Pages: 617-630 Issue: 3 Volume: 47 Year: 2016 Month: 2 X-DOI: 10.1080/00207721.2014.891776 File-URL: http://hdl.handle.net/10.1080/00207721.2014.891776 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:3:p:617-630 Template-Type: ReDIF-Article 1.0 Author-Name: Shengxuan Weng Author-X-Name-First: Shengxuan Author-X-Name-Last: Weng Author-Name: Dong Yue Author-X-Name-First: Dong Author-X-Name-Last: Yue Title: Distributed event-triggered cooperative attitude control of multiple rigid bodies with leader–follower architecture Abstract: In this note, the distributed event-triggered cooperative attitude control of multiple rigid bodies with leader–follower architecture is investigated, where both the cases of static and dynamic leaders are all considered. Two distributed triggering procedures are first introduced for the followers and leaders, and then the distributed cooperative controllers are designed under the proposed triggering schemes. Under the designed controllers with the event-triggered strategies, it is shown that the orientations of followers converge to the convex hull formed by the desired leaders’ orientations with zero angular velocities. Moreover, the communication pressure in network is reduced and the energy of each agent is saved. Simulation results show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 631-643 Issue: 3 Volume: 47 Year: 2016 Month: 2 X-DOI: 10.1080/00207721.2014.891777 File-URL: http://hdl.handle.net/10.1080/00207721.2014.891777 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:3:p:631-643 Template-Type: ReDIF-Article 1.0 Author-Name: Tingting Gao Author-X-Name-First: Tingting Author-X-Name-Last: Gao Author-Name: Chunling Du Author-X-Name-First: Chunling Author-X-Name-Last: Du Author-Name: Weijie Sun Author-X-Name-First: Weijie Author-X-Name-Last: Sun Author-Name: Lihua Xie Author-X-Name-First: Lihua Author-X-Name-Last: Xie Title: An integrated plant/control design method and application in hard disk drives Abstract: One approach in servo control to achieve a high track density in hard disk drives is to minimise the H2 norm from disturbances to position error signal. The H2 performance optimisation is then deemed as a matter of great significance. This paper presents an integrated design method involving plant modification and controller design sequentially to achieve the H2 performance requirement. A linear matrix inequality-based approach is developed for the plant damping ratio modification using the plant output. The proposed model modification method is then applied to the voice coil motor plant in hard disk drives, followed by the optimal H2 controller design using the Riccati equation method with the modified plant. It turns out that the modified plant leads to better H2 performance, stability margins than the original plant. Journal: International Journal of Systems Science Pages: 644-651 Issue: 3 Volume: 47 Year: 2016 Month: 2 X-DOI: 10.1080/00207721.2014.900134 File-URL: http://hdl.handle.net/10.1080/00207721.2014.900134 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:3:p:644-651 Template-Type: ReDIF-Article 1.0 Author-Name: Qing He Author-X-Name-First: Qing Author-X-Name-Last: He Author-Name: Jinkun Liu Author-X-Name-First: Jinkun Author-X-Name-Last: Liu Title: An observer for a velocity-sensorless VTOL aircraft with time-varying measurement delay Abstract: This paper presents a kind of state observer for a velocity-sensorless vertical take-off and landing (VTOL) aircraft with bounded time-varying delay in its measurement outputs. The proposed observer predicts current state variables based on the delayed outputs, and the estimated state variables can be considered as the actual state variables for feedback control scheme design. Since the delay is time-varying, compared to the constant delay case, different analysis theory must be employed. Under the assumption that the delays are identical for different outputs and bounded input, the asymptotic convergence property of the estimation error based on Lyapunov–Razumikhin theorem is proved. A relative large time delay for the VTOL aircraft in the outputs has been tested in the numerical simulation, and the simulation results show the effectiveness of the proposed observer. Journal: International Journal of Systems Science Pages: 652-661 Issue: 3 Volume: 47 Year: 2016 Month: 2 X-DOI: 10.1080/00207721.2014.900135 File-URL: http://hdl.handle.net/10.1080/00207721.2014.900135 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:3:p:652-661 Template-Type: ReDIF-Article 1.0 Author-Name: Nughthoh Arfawi Kurdhi Author-X-Name-First: Nughthoh Arfawi Author-X-Name-Last: Kurdhi Author-Name: Joko Prasetyo Author-X-Name-First: Joko Author-X-Name-Last: Prasetyo Author-Name: Sri Sulistijowati Handajani Author-X-Name-First: Sri Sulistijowati Author-X-Name-Last: Handajani Title: An inventory model involving back-order price discount when the amount received is uncertain Abstract: This paper presents and analyses the continuous review inventory model with order quantity, safety factor, back-order price discount, ordering cost and lead time as decision variables. Our work is based on the paper of Huang (2010). We extend the model to incorporate the situation when the amount received is uncertain. The lead time demand is assumed follows a normal distribution. A solution procedure is developed to find the optimal solution. A numerical example is given to illustrate the model. A sensitivity analysis is also included to describe the effects of changes in the model parameters on the expected annual cost. Journal: International Journal of Systems Science Pages: 662-671 Issue: 3 Volume: 47 Year: 2016 Month: 2 X-DOI: 10.1080/00207721.2014.900136 File-URL: http://hdl.handle.net/10.1080/00207721.2014.900136 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:3:p:662-671 Template-Type: ReDIF-Article 1.0 Author-Name: Shijin Wang Author-X-Name-First: Shijin Author-X-Name-Last: Wang Author-Name: Ming Liu Author-X-Name-First: Ming Author-X-Name-Last: Liu Title: Two-machine flow shop scheduling integrated with preventive maintenance planning Abstract: This paper investigates an integrated optimisation problem of production scheduling and preventive maintenance (PM) in a two-machine flow shop with time to failure of each machine subject to a Weibull probability distribution. The objective is to find the optimal job sequence and the optimal PM decisions before each job such that the expected makespan is minimised. To investigate the value of integrated scheduling solution, computational experiments on small-scale problems with different configurations are conducted with total enumeration method, and the results are compared with those of scheduling without maintenance but with machine degradation, and individual job scheduling combined with independent PM planning. Then, for large-scale problems, four genetic algorithm (GA) based heuristics are proposed. The numerical results with several large problem sizes and different configurations indicate the potential benefits of integrated scheduling solution and the results also show that proposed GA-based heuristics are efficient for the integrated problem. Journal: International Journal of Systems Science Pages: 672-690 Issue: 3 Volume: 47 Year: 2016 Month: 2 X-DOI: 10.1080/00207721.2014.900137 File-URL: http://hdl.handle.net/10.1080/00207721.2014.900137 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:3:p:672-690 Template-Type: ReDIF-Article 1.0 Author-Name: Chalermsub Sangkavichitr Author-X-Name-First: Chalermsub Author-X-Name-Last: Sangkavichitr Author-Name: Prabhas Chongstitvatana Author-X-Name-First: Prabhas Author-X-Name-Last: Chongstitvatana Title: The use of explicit building blocks in evolutionary computation Abstract: This paper proposes a new algorithm to identify and compose building blocks. Building blocks are interpreted as common subsequences between good individuals. The proposed algorithm can extract building blocks from a population explicitly. Explicit building blocks are identified from shared alleles among multiple chromosomes. These building blocks are stored in an archive. They are recombined to generate offspring. The additively decomposable problems and hierarchical decomposable problems are used to validate the algorithm. The results are compared with the Bayesian optimisation algorithm, the hierarchical Bayesian optimisation algorithm, and the chi-square matrix. This proposed algorithm is simple, effective, and fast. The experimental results confirm that building block identification is an important process that guides the recombination procedure to improve the solutions. In addition, the method efficiently solves hard problems. Journal: International Journal of Systems Science Pages: 691-706 Issue: 3 Volume: 47 Year: 2016 Month: 2 X-DOI: 10.1080/00207721.2014.901580 File-URL: http://hdl.handle.net/10.1080/00207721.2014.901580 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:3:p:691-706 Template-Type: ReDIF-Article 1.0 Author-Name: MingHui Wang Author-X-Name-First: MingHui Author-X-Name-Last: Wang Author-Name: Kenko Uchida Author-X-Name-First: Kenko Author-X-Name-Last: Uchida Title: Interval consensus problem of multi-agent systems in accordance with switching protocol Abstract: In this paper, we discuss the interval consensus problem of multi-agent systems by providing a special Laplacian of directed graphs. As one of the most important issues in the coordination control of multi-agent systems, the consensus problem requires that the output of several spatially distributed agents reach a common value that depends on the states of all agents. For the given consensus protocol and initial states, a fixed consensus value is obtained. The resulting consensus value, however, may not be ideal or meet the quality that we require from the multi-agent system. In this paper, by introducing two state-dependent switching parameters into the consensus protocol, the system given by the proposed protocol can globally asymptotically converge to a designated point on a special closed and bounded interval. In other words, the system given by the proposed protocol can globally asymptotically reach interval consensus and then the system can also achieve a generalised interval average consensus if the directed graph is balanced. Simulations are presented to demonstrate the effectiveness of our theoretical results. Journal: International Journal of Systems Science Pages: 707-717 Issue: 3 Volume: 47 Year: 2016 Month: 2 X-DOI: 10.1080/00207721.2014.901581 File-URL: http://hdl.handle.net/10.1080/00207721.2014.901581 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:3:p:707-717 Template-Type: ReDIF-Article 1.0 Author-Name: Liang-Yuh Ouyang Author-X-Name-First: Liang-Yuh Author-X-Name-Last: Ouyang Author-Name: Kun-Shan Wu Author-X-Name-First: Kun-Shan Author-X-Name-Last: Wu Author-Name: Chih-Te Yang Author-X-Name-First: Chih-Te Author-X-Name-Last: Yang Author-Name: Hsiu-Feng Yen Author-X-Name-First: Hsiu-Feng Author-X-Name-Last: Yen Title: Optimal order policy in response to announced price increase for deteriorating items with limited special order quantity Abstract: When a supplier announces an impending price increase due to take effect at a certain time in the future, it is important for each retailer to decide whether to purchase additional stock to take advantage of the present lower price. This study explores the possible effects of price increases on a retailer's replenishment policy when the special order quantity is limited and the rate of deterioration of the goods is assumed to be constant. The two situations discussed in this study are as follows: (1) when the special order time coincides with the retailer's replenishment time and (2) when the special order time occurs during the retailer's sales period. By analysing the total cost savings between special and regular orders during the depletion time of the special order quantity, the optimal order policy for each situation can be determined. We provide several numerical examples to illustrate the theories in practice. Additionally, we conduct a sensitivity analysis on the optimal solution with respect to the main parameters. Journal: International Journal of Systems Science Pages: 718-729 Issue: 3 Volume: 47 Year: 2016 Month: 2 X-DOI: 10.1080/00207721.2014.902157 File-URL: http://hdl.handle.net/10.1080/00207721.2014.902157 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:3:p:718-729 Template-Type: ReDIF-Article 1.0 Author-Name: Sabri Arik Author-X-Name-First: Sabri Author-X-Name-Last: Arik Title: Dynamical analysis of uncertain neural networks with multiple time delays Abstract: This paper investigates the robust stability problem for dynamical neural networks in the presence of time delays and norm-bounded parameter uncertainties with respect to the class of non-decreasing, non-linear activation functions. By employing the Lyapunov stability and homeomorphism mapping theorems together, a new delay-independent sufficient condition is obtained for the existence, uniqueness and global asymptotic stability of the equilibrium point for the delayed uncertain neural networks. The condition obtained for robust stability establishes a matrix–norm relationship between the network parameters of the neural system, which can be easily verified by using properties of the class of the positive definite matrices. Some constructive numerical examples are presented to show the applicability of the obtained result and its advantages over the previously published corresponding literature results. Journal: International Journal of Systems Science Pages: 730-739 Issue: 3 Volume: 47 Year: 2016 Month: 2 X-DOI: 10.1080/00207721.2014.902158 File-URL: http://hdl.handle.net/10.1080/00207721.2014.902158 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:3:p:730-739 Template-Type: ReDIF-Article 1.0 Author-Name: Subrata Saha Author-X-Name-First: Subrata Author-X-Name-Last: Saha Title: Channel characteristics and coordination in three-echelon dual-channel supply chain Abstract: We explore the impact of channel structure on the manufacturer, the distributer, the retailer and the entire supply chain by considering three different channel structures in radiance of with and without coordination. These structures include a traditional retail channel and two manufacturer direct channels with and without consistent pricing. By comparing the performance of the manufacturer, the distributer and the retailer, and the entire supply chain in three different supply chain structures, it is established analytically that, under some conditions, a dual channel can outperform a single retail channel; as a consequence, a coordination mechanism is developed that not only coordinates the dual channel but also outperforms the non-cooperative single retail channel. All the analytical results are further analysed through numerical examples. Journal: International Journal of Systems Science Pages: 740-754 Issue: 3 Volume: 47 Year: 2016 Month: 2 X-DOI: 10.1080/00207721.2014.904453 File-URL: http://hdl.handle.net/10.1080/00207721.2014.904453 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:3:p:740-754 Template-Type: ReDIF-Article 1.0 Author-Name: Pan Zhang Author-X-Name-First: Pan Author-X-Name-Last: Zhang Author-Name: Xuzhi Lai Author-X-Name-First: Xuzhi Author-X-Name-Last: Lai Author-Name: Yawu Wang Author-X-Name-First: Yawu Author-X-Name-Last: Wang Author-Name: Min Wu Author-X-Name-First: Min Author-X-Name-Last: Wu Title: Effective position–posture control strategy based on switching control for planar three-link underactuated mechanical system Abstract: A planar three-link passive–active–active (PAA) underactuated mechanical system is a kind of nonlinear system with a passive first joint. The position–posture control objective for the planar PAA system is to move the end effector from an initial position to a target position with a specified posture. This paper presents a switch control strategy to solve the position–posture control problem. First, a Lyapunov function is constructed based on the system control objective. Then, a set of main controllers based on this Lyapunov function are designed. However, the main controllers may make the system stabilise at one of equilibrium points, which is not the system target position. To avoid the above phenomenon, when the system is about to stabilise at one non-target position, the main controllers are switched to a set of sub-controllers, which are designed according to another Lyapunov function constructed based on the control objective of the active links. When the sub-controllers are running, their design parameters are adjusted to try to keep the derivative of the first Lyapunov function being a non-positive function. Therefore, the switch control between the main controllers and the sub-controllers realises the position–posture control objective of the system. Finally, the simulation results demonstrate the effectiveness of the switch control strategy. Journal: International Journal of Systems Science Pages: 2202-2211 Issue: 10 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1305134 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1305134 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2202-2211 Template-Type: ReDIF-Article 1.0 Author-Name: Jinrong Liu Author-X-Name-First: Jinrong Author-X-Name-Last: Liu Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Author-Name: Mouquan Shen Author-X-Name-First: Mouquan Author-X-Name-Last: Shen Author-Name: Zhan Shu Author-X-Name-First: Zhan Author-X-Name-Last: Shu Title: Non-fragile multivariable PID controller design via system augmentation Abstract: In this paper, the issue of designing non-fragile H∞ multivariable proportional-integral-derivative (PID) controllers with derivative filters is investigated. In order to obtain the controller gains, the original system is associated with an extended system such that the PID controller design can be formulated as a static output-feedback control problem. By taking the system augmentation approach, the conditions with slack matrices for solving the non-fragile H∞ multivariable PID controller gains are established. Based on the results, linear matrix inequality -based iterative algorithms are provided to compute the controller gains. Simulations are conducted to verify the effectiveness of the proposed approaches. Journal: International Journal of Systems Science Pages: 2168-2181 Issue: 10 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1306145 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1306145 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2168-2181 Template-Type: ReDIF-Article 1.0 Author-Name: Hao Yang Author-X-Name-First: Hao Author-X-Name-Last: Yang Author-Name: Wenjing Ren Author-X-Name-First: Wenjing Author-X-Name-Last: Ren Author-Name: Bin Jiang Author-X-Name-First: Bin Author-X-Name-Last: Jiang Title: On stability of switched nonlinear systems with time-scaling transformation Abstract: This paper considers a class of switched nonlinear systems with time-scaling transformation. A newconcept named ‘time-scaling transformational average dwell time’ is proposed, based on which two stability conditions for the original switched system are established that rely on each mode's dynamics of the transformational switched system and the characteristic of the time-scaling transformation. The new observation significantly extends existing stability results, especially for the case with unstable modes. A numerical example is given to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2120-2127 Issue: 10 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1306146 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1306146 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2120-2127 Template-Type: ReDIF-Article 1.0 Author-Name: Yao Zou Author-X-Name-First: Yao Author-X-Name-Last: Zou Title: Singularity-free adaptive fault-tolerant trajectory tracking controller for VTOL UAVs Abstract: This paper exploits a singularity-free adaptive fault-tolerant controller for vertical take-off and landing (VTOL) unmanned airborne vehicles (UAVs) to fulfill trajectory tracking manoeuvres, which is robust against parametric uncertainties, actuator faults and unexpected disturbances. Under the hierarchical control framework, the position and attitude loop controls are developed in sequence based on adaptive sliding mode control schemes. Initially, using the saturation property of the hyperbolic tangent function, a position loop controller is synthesised, and a criterion for choosing control parameters is established to guarantee the singularity-free command attitude extraction. Then, in the attitude loop, to avoid singularity which occurs when the pitch reaches ±π2$\pm \frac{\pi }{2}$, a novel sliding mode surface is introduced, and an attitude control project with the associated initial condition constraint is put forward. In addition, adaptive algorithms are developed to estimate and compensate the uncertainties arising from unknown inertial parameters, thrust and torque faults and undesired disturbances. It is demonstrated in terms of Lyapunov theorem that, with the proposed controller, the closed-loop position and attitude error subsystems of the VTOL UAV are asymptotically stable, respectively. Eventually, simulations validate the tracking performance of the controller. Journal: International Journal of Systems Science Pages: 2223-2234 Issue: 10 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1306147 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1306147 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2223-2234 Template-Type: ReDIF-Article 1.0 Author-Name: Jinrui Ren Author-X-Name-First: Jinrui Author-X-Name-Last: Ren Author-Name: Zhiyu Xi Author-X-Name-First: Zhiyu Author-X-Name-Last: Xi Author-Name: Li-Bing Zhao Author-X-Name-First: Li-Bing Author-X-Name-Last: Zhao Author-Name: Quan Quan Author-X-Name-First: Quan Author-X-Name-Last: Quan Title: Transient tracking performance improvement for nonlinear nonminimum phase systems: an additive-state-decomposition-based control method Abstract: To study the problem of improving transient tracking performance for nonlinear systems, this paper proposes an additive-state-decomposition-based control method for a class of nonlinear nonminimum phase (NMP) systems. This method ‘additively’ decomposes the original problem into two more tractable problems, namely a tracking problem for a linear time-invariant NMP ‘primary’ system and a state stabilisation problem for a certain nonlinear ‘secondary’ system. Then, controller for each system is designed respectively by employing existing methods, i.e. the linear quadratic regulator (LQR) method for the primary system and the backstepping method for the secondary system. Next, these two controllers are combined together to achieve the original tracking goal. Furthermore, the adjustment of weighting matrix Q in the LQR regulates the transient response of the closed-loop nonlinear system. Finally, two illustrative examples are provided to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2157-2167 Issue: 10 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1308578 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1308578 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2157-2167 Template-Type: ReDIF-Article 1.0 Author-Name: Boda Ning Author-X-Name-First: Boda Author-X-Name-Last: Ning Author-Name: Jiong Jin Author-X-Name-First: Jiong Author-X-Name-Last: Jin Author-Name: Jinchuan Zheng Author-X-Name-First: Jinchuan Author-X-Name-Last: Zheng Title: Fixed-time consensus for multi-agent systems with discontinuous inherent dynamics over switching topology Abstract: This paper is concerned with the fixed-time consensus problem of multi-agent systems. Unlike conventional consensus-based investigations, where nonlinear inherent dynamics satisfying the Lipschitz continuous condition is assumed or simply no inherent dynamics is involved for each agent, we are dealing with a more general case: agents with discontinuous nonlinear inherent dynamics. By using non-smooth analysis and fixed-time stability techniques, distributed protocols are proposed to achieve the fixed-time consensus over fixed and switching topology. Then, for a class of linear multi-agent systems, a new distributed controller is proposed to further reduce the calculation cost while achieving the agreement. A distinctive feature of the work is that the estimation of settling time for consensus is independent of initial states of agents, which provides flexibility for applications implemented in unknown environment. Finally, numerical simulations are given to demonstrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 2023-2032 Issue: 10 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1308579 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1308579 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2023-2032 Template-Type: ReDIF-Article 1.0 Author-Name: Yun-Shan Wei Author-X-Name-First: Yun-Shan Author-X-Name-Last: Wei Author-Name: Xiao-Dong Li Author-X-Name-First: Xiao-Dong Author-X-Name-Last: Li Title: Varying trail lengths-based iterative learning control for linear discrete-time systems with vector relative degree Abstract: In this article, to tackle with the iteration-varying trail lengths and random initial state shifts, an average operator-based PD-type iterative learning control (ILC) law is firstly presented for linear discrete-time multiple-input multiple-output (MIMO) systems with vector relative degree. The proposed PD-type ILC law includes an initial rectifying action against initial state shifts, and pursues the reference trajectory tracking beyond the initial time points. As special cases of the PD-type ILC law, P-type and D-type ILC laws are then introduced. It is proved that for linear discrete-time MIMO systems with vector relative degree, the three proposed ILC laws can drive the varying trail lengths-based ILC tracking errors to zero in mathematical expectation beyond the initial time points. A numerical example is used to illustrate the effectiveness of the proposed ILC laws. Journal: International Journal of Systems Science Pages: 2146-2156 Issue: 10 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1309590 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1309590 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2146-2156 Template-Type: ReDIF-Article 1.0 Author-Name: Tito L. M. Santos Author-X-Name-First: Tito L. M. Author-X-Name-Last: Santos Author-Name: Bernardo P. M. Silva Author-X-Name-First: Bernardo P. M. Author-X-Name-Last: Silva Author-Name: Lucas Uzêda Author-X-Name-First: Lucas Author-X-Name-Last: Uzêda Title: Multivariable filtered Smith predictor for systems with sinusoidal disturbances Abstract: This paper presents a new design condition for the multivariable filtered Smith predictor (MFSP) in order to achieve sinusoidal disturbance rejection in steady state. The proposed MFSP strategy is based on a transfer matrix description with multiple delays. A suitable prediction error filter is presented to deal with this new design condition. The proposed design requirement can be used in model predictive controllers with inactive constraints in steady state. Two case studies are used to illustrate the main benefits of the proposed framework. Journal: International Journal of Systems Science Pages: 2182-2194 Issue: 10 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1309591 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1309591 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2182-2194 Template-Type: ReDIF-Article 1.0 Author-Name: Xingjian Wang Author-X-Name-First: Xingjian Author-X-Name-Last: Wang Author-Name: Cun Shi Author-X-Name-First: Cun Author-X-Name-Last: Shi Author-Name: Shaoping Wang Author-X-Name-First: Shaoping Author-X-Name-Last: Wang Title: Extended state observer-based motion synchronisation control for hybrid actuation system of large civil aircraft Abstract: Hybrid actuation system with dissimilar redundant actuators, which is composed of a hydraulic actuator (HA) and an electro-hydrostatic actuator (EHA), has been applied on modern civil aircraft to improve the reliability. However, the force fighting problem arises due to different dynamic performances between HA and EHA. This paper proposes an extended state observer (ESO)-based motion synchronisation control method. To cope with the problem of unavailability of the state signals, the well-designed ESO is utilised to observe the HA and EHA state variables which are unmeasured. In particular, the extended state of ESO can estimate the lumped effect of the unknown external disturbances acting on the control surface, the nonlinear dynamics, uncertainties, and the coupling term between HA and EHA. Based on the observed states of ESO, motion synchronisation controllers are presented to make HA and EHA to simultaneously track the desired motion trajectories, which are generated by a trajectory generator. Additionally, the unknown disturbances and the coupling terms can be compensated by using the extended state of the proposed ESO. Finally, comparative simulation results indicate that the proposed ESO-based motion synchronisation controller can achieve great force fighting reduction between HA and EHA. Journal: International Journal of Systems Science Pages: 2212-2222 Issue: 10 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1309592 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1309592 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2212-2222 Template-Type: ReDIF-Article 1.0 Author-Name: Yilun Shang Author-X-Name-First: Yilun Author-X-Name-Last: Shang Title: Finite-time scaled consensus through parametric linear iterations Abstract: This paper deals with finite-time scaled consensus problems over undirected and directed topologies, wherein agents’ states reach prescribed ratios in a finite time. We develop distributed linear iterations as a function of a linear operator on the underlying network and present necessary and sufficient conditions guaranteeing scaled consensus in a fixed number of steps equal to the number of distinct eigenvalues of a related linear operator. We identify the dependence of the final consensus states on the initial state condition, which can be conveniently and freely tuned by designing suitable parameters. Our results extend the recently developed approach on successive nulling of eigenvalues from complete consensus to scaled consensus, and from undirected topologies to directed topologies. Numerical examples and comparison studies are provided to illustrate the effectiveness of our theoretical results. Journal: International Journal of Systems Science Pages: 2033-2040 Issue: 10 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1309593 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1309593 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2033-2040 Template-Type: ReDIF-Article 1.0 Author-Name: Mingzhe Hou Author-X-Name-First: Mingzhe Author-X-Name-Last: Hou Author-Name: Zongquan Deng Author-X-Name-First: Zongquan Author-X-Name-Last: Deng Author-Name: Guangren Duan Author-X-Name-First: Guangren Author-X-Name-Last: Duan Title: Adaptive control of uncertain pure-feedback nonlinear systems Abstract: An adaptive control approach is proposed to solve the globally asymptotic state stabilisation problem for uncertain pure-feedback nonlinear systems which can be transformed into the pseudo-affine form. The pseudo-affine pure-feedback nonlinear system under consideration is with nonlinearly parameterised uncertainties and possibly unknown control coefficients. Based on the parameter separation technique, a novel backstepping controller is designed by adopting the adaptive high gain idea. The proposed control approach could avoid the drawbacks of the approximation-based approaches since no estimators are needed to estimate the virtual and the actual controllers. In addition, it could guarantee globally asymptotic state stabilisation even though there exist nonlinearly parameterised uncertainties in the considered system while comparing to the existing approximation-free approaches. A numerical and a realistic examples are employed to demonstrate the effectiveness of the proposed control method. Journal: International Journal of Systems Science Pages: 2137-2145 Issue: 10 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1309594 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1309594 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2137-2145 Template-Type: ReDIF-Article 1.0 Author-Name: Wencheng Zou Author-X-Name-First: Wencheng Author-X-Name-Last: Zou Author-Name: Zhengrong Xiang Author-X-Name-First: Zhengrong Author-X-Name-Last: Xiang Title: Event-triggered distributed containment control of heterogeneous linear multi-agent systems by an output regulation approach Abstract: In this paper, the event-triggered distributed containment control of heterogeneous linear multi-agent systems in the output regulation framework is studied. The leaders are treated as exosystems and the containment control problem will be converted into an output regulation problem. An event-triggered protocol is then designed for each follower by the output information of neighbours. It is proved that the followers can asymptotically converge to the dynamic convex hull spanned by multiple leaders under the designed protocol and triggered strategy. Furthermore, it is shown that the proposed protocol and triggered condition can exclude Zeno behaviour, so the feasibility of the control strategy is verified. Finally, a numerical simulation is given to illustrate the effectiveness of the proposed protocol. Journal: International Journal of Systems Science Pages: 2041-2054 Issue: 10 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1309595 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1309595 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2041-2054 Template-Type: ReDIF-Article 1.0 Author-Name: Yintao Wang Author-X-Name-First: Yintao Author-X-Name-Last: Wang Author-Name: Qi Sun Author-X-Name-First: Qi Author-X-Name-Last: Sun Author-Name: Yingjie Li Author-X-Name-First: Yingjie Author-X-Name-Last: Li Title: Periodic coordinated rotating motion control of second-Order multi-Agent systems under directed interaction topologies Abstract: This paper investigates the problem of periodic motion control of second-order multi-agent systems in three dimensions under directed interaction topologies. Distributed algorithms for periodic rotating motion around a static and moving target were proposed by exploring the introduction of Cartestian coordinate coupling for each agent. In case of a static target, we show that when the nonsymmetric Laplacian matrix has certain properties, the damping gain is above a certain bound, and the Euler angle is equal to a critical value, all the agents will eventually rotate around the target periodically. In case of a moving target, the composite motion behaviours with translation and rotation will emerge, when this moving target's information can only be available to one or one subset of these agents and all agents have only local interactions. Tools like matrix theory, linear system theory and other mathematical skills were used for convergence analysis. Simulation results were provided to illustrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 2055-2063 Issue: 10 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1309596 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1309596 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2055-2063 Template-Type: ReDIF-Article 1.0 Author-Name: Chengzhi Yuan Author-X-Name-First: Chengzhi Author-X-Name-Last: Yuan Title: Leader-following consensus of parameter-dependent networks via distributed gain-scheduling control Abstract: This paper addresses the problem of leader-following consensus control of multi-agent systems subject to time-varying parameters and local, external disturbances. The agent dynamics are considered to be heterogeneous and represented in the form of parameter-dependent linear fractional transformation (LFT). A novel distributed gain-scheduling control protocol is proposed, which consists of a distributed observer and a gain-scheduling LFT output-feedback controller. No plant state/output information but the local observer's estimation state is required to share among neighbouring agents. Under this new distributed control scheme, the overall network consensus with optimal H∞$\mathcal {H}_\infty$ disturbance attenuation performance can be achieved effectively by solving a set of independent convex optimisation problems. Simulation studies on synchronisation of multiple electrical circuit systems have been conducted to demonstrate the proposed approach. Journal: International Journal of Systems Science Pages: 2013-2022 Issue: 10 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1309597 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1309597 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2013-2022 Template-Type: ReDIF-Article 1.0 Author-Name: R. Sakthivel Author-X-Name-First: R. Author-X-Name-Last: Sakthivel Author-Name: M. Sathishkumar Author-X-Name-First: M. Author-X-Name-Last: Sathishkumar Author-Name: Y. Ren Author-X-Name-First: Y. Author-X-Name-Last: Ren Author-Name: O.M. Kwon Author-X-Name-First: O.M. Author-X-Name-Last: Kwon Title: Fault-tolerant sampled-data control of singular networked cascade control systems Abstract: This paper investigates the reliable sampled-data L2-L∞$\mathcal {L}_2-\mathcal {L}_{\infty }$ control problem for a class of singular networked cascade control systems with randomly occurring actuator failures, time-varying delay and disturbances. In particular, the randomly occurring actuator failures describes the phenomenon of the actuator failure appearing in a random way and is modelled by a Bernoulli distributed white noise sequences with a known conditional probability. The main purpose of this work is to design a reliable sampled-data controller such that an optimised upper bound of the predefined performance index is well guaranteed for the systems under consideration even in the presence of both the randomly occurring actuator failures and disturbances. The resulting controllers are reliable in the sense that they will provide guaranteed stochastically admissible and L2-L∞$\mathcal {L}_2-\mathcal {L}_\infty$ performance index when all actuators are operational as well as when some actuators experiences failure. Finally, two numerical examples are given to exhibit the effectiveness of the proposed control scheme. Journal: International Journal of Systems Science Pages: 2079-2090 Issue: 10 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1310950 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1310950 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2079-2090 Template-Type: ReDIF-Article 1.0 Author-Name: Alexander Aleksandrov Author-X-Name-First: Alexander Author-X-Name-Last: Aleksandrov Author-Name: Elena Aleksandrova Author-X-Name-First: Elena Author-X-Name-Last: Aleksandrova Author-Name: Alexei Zhabko Author-X-Name-First: Alexei Author-X-Name-Last: Zhabko Title: Stability analysis of some classes of nonlinear switched systems with time delay Abstract: Stability of certain classes of nonlinear time-delay switched systems is studied. For the corresponding families of subsystems, conditions of the existence of common Lyapunov–Razumikhin functions are found. The fulfilment of these conditions provides the asymptotic stability of the zero solutions of the considered hybrid systems for any switching law and for any nonnegative delay. Some examples are presented to demonstrate the effectiveness of the obtained results. Journal: International Journal of Systems Science Pages: 2111-2119 Issue: 10 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1311382 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1311382 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2111-2119 Template-Type: ReDIF-Article 1.0 Author-Name: Xia Hong Author-X-Name-First: Xia Author-X-Name-Last: Hong Author-Name: Sheng Chen Author-X-Name-First: Sheng Author-X-Name-Last: Chen Author-Name: Yi Guo Author-X-Name-First: Yi Author-X-Name-Last: Guo Author-Name: Junbin Gao Author-X-Name-First: Junbin Author-X-Name-Last: Gao Title: -norm penalised orthogonal forward regression Abstract: A l1-norm penalised orthogonal forward regression (l1-POFR) algorithm is proposed based on the concept of leave-one-out mean square error (LOOMSE), by defining a new l1-norm penalised cost function in the constructed orthogonal space and associating each orthogonal basis with an individually tunable regularisation parameter. Due to orthogonality, the LOOMSE can be analytically computed without actually splitting the data-set, and moreover a closed form of the optimal regularisation parameter is derived by greedily minimising the LOOMSE incrementally. We also propose a simple formula for adaptively detecting and removing regressors to an inactive set so that the computational cost of the algorithm is significantly reduced. Examples are included to demonstrate the effectiveness of this new l1-POFR approach. Journal: International Journal of Systems Science Pages: 2195-2201 Issue: 10 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1311383 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1311383 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2195-2201 Template-Type: ReDIF-Article 1.0 Author-Name: Wei Chen Author-X-Name-First: Wei Author-X-Name-Last: Chen Author-Name: Yuanyuan Zou Author-X-Name-First: Yuanyuan Author-X-Name-Last: Zou Author-Name: Nan Xiao Author-X-Name-First: Nan Author-X-Name-Last: Xiao Author-Name: Jun Song Author-X-Name-First: Jun Author-X-Name-Last: Song Author-Name: Yugang Niu Author-X-Name-First: Yugang Author-X-Name-Last: Niu Title: Quantised feedback stabilisation of LTI systems over partly unknown Markov fading channels Abstract: This paper is concerned with the quantised feedback stabilisation of a class of linear systems over partly unknown Markov fading channels. A set of channel state process with partly unknown transition probabilities is introduced to model time-varying fading channels, which characterises various configurations in physical communication environment and/or different channel fading amplitudes. Partly unknown Markov fading channels are more general than completely known Markov fading channels. Sufficient condition for mean square quadratic (MSQ) stabilisation over partly unknown Markov fading channels is given in the paper. Besides, necessary and sufficient conditions for MSQ stabilisation in two special cases, i.e. completely known Markov fading channels and independent identically distributed (i.i.d.) fading channels, are also given, respectively. Finally, two examples are given to demonstrate the effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 2128-2136 Issue: 10 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1311964 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1311964 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2128-2136 Template-Type: ReDIF-Article 1.0 Author-Name: Chengcheng Li Author-X-Name-First: Chengcheng Author-X-Name-Last: Li Author-Name: Yuefeng Li Author-X-Name-First: Yuefeng Author-X-Name-Last: Li Author-Name: Guanglin Wang Author-X-Name-First: Guanglin Author-X-Name-Last: Wang Title: output tracking control of uncertain and disturbed nonlinear systems based on neural network model Abstract: The work presented in this paper seeks to address the tracking problem for uncertain continuous nonlinear systems with external disturbances. The objective is to obtain a model that uses a reference-based output feedback tracking control law. The control scheme is based on neural networks and a linear difference inclusion (LDI) model, and a PDC structure and H∞ performance criterion are used to attenuate external disturbances. The stability of the whole closed-loop model is investigated using the well-known quadratic Lyapunov function. The key principles of the proposed approach are as follows: neural networks are first used to approximate nonlinearities, to enable a nonlinear system to then be represented as a linearised LDI model. An LMI (linear matrix inequality) formula is obtained for uncertain and disturbed linear systems. This formula enables a solution to be obtained through an interior point optimisation method for some nonlinear output tracking control problems. Finally, simulations and comparisons are provided on two practical examples to illustrate the validity and effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2091-2103 Issue: 10 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1312627 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1312627 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2091-2103 Template-Type: ReDIF-Article 1.0 Author-Name: Linhe Zhu Author-X-Name-First: Linhe Author-X-Name-Last: Zhu Author-Name: Hongyong Zhao Author-X-Name-First: Hongyong Author-X-Name-Last: Zhao Title: Dynamical behaviours and control measures of rumour-spreading model with consideration of network topology Abstract: A series of online rumours have seriously influenced the normal production and living of people. This paper aims to study the combined impact of psychological factor, propagation delay, network topology and control strategy on rumour diffusion over the online social networks. Based on an online social network, which is seen as a scale-free network, we model the spread of rumours by using a delayed SIS (Susceptible and Infected) epidemic-like model with consideration of psychological factor and network topology. First, through theoretical analysis, we illustrate the boundedness of the density of rumour-susceptible individuals and rumour-infected individuals. Second, we obtain the basic reproduction number R0 and prove the stability of the non-rumour equilibrium point and the rumour-spreading equilibrium point. Third, control strategies, such as uniform immunisation control, proportional immunisation control, targeted immunisation control and optimum control, are put forward to restrain rumour diffusion. Meanwhile, we have compared the differences of these control strategies. Finally, some representative numerical simulations are performed to verify the theoretical analysis results. Journal: International Journal of Systems Science Pages: 2064-2078 Issue: 10 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1312628 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1312628 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2064-2078 Template-Type: ReDIF-Article 1.0 Author-Name: Fengjun Wang Author-X-Name-First: Fengjun Author-X-Name-Last: Wang Author-Name: Qingling Zhang Author-X-Name-First: Qingling Author-X-Name-Last: Zhang Author-Name: Wanquan Liu Author-X-Name-First: Wanquan Author-X-Name-Last: Liu Title: Data-based controllability analysis for generalised linear discrete-time system Abstract: In this paper, we aim to propose a data-based method to testify whether the system is a normal linear system or a generalised linear system and then analyse its controllability via the measured state data and the control input satisfying certain condition. For this purpose, we first describe a linear discrete-time system in a general form and derive a necessary and sufficient condition for the equivalent condition of complete controllability with a normal linear discrete time system. Second, we check whether the system is normal or singular, and then construct the controllability matrices only based on the input and measured state data. Third, the controllability of the corresponding system is investigated thoroughly based on available data without identifying system parameters. Finally, a numerical example and a stock price example are used to show the effectiveness and feasibility of the proposed data-based method. Journal: International Journal of Systems Science Pages: 2104-2110 Issue: 10 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1315981 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1315981 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2104-2110 Template-Type: ReDIF-Article 1.0 Author-Name: Hyondong Oh Author-X-Name-First: Hyondong Author-X-Name-Last: Oh Author-Name: Seungkeun Kim Author-X-Name-First: Seungkeun Author-X-Name-Last: Kim Author-Name: Antonios Tsourdos Author-X-Name-First: Antonios Author-X-Name-Last: Tsourdos Author-Name: Brian A. White Author-X-Name-First: Brian A. Author-X-Name-Last: White Title: Coordinated road-network search route planning by a team of UAVs Abstract: This paper presents a road-network search route planning algorithm by which multiple autonomous vehicles are able to efficiently visit every road identified in the map in the context of the Chinese postman problem. Since the typical Chinese postman algorithm can be applied solely to a connected road-network in which ground vehicles are involved, it is modified to be used for a general type of road map including unconnected roads as well as the operational and physical constraints of unmanned aerial vehicles (UAVs). For this, a multi-choice multi-dimensional knapsack problem is formulated to find an optimal solution minimising flight time and then solved via mixed integer linear programming. To deal with the dynamic constraints of the UAVs, the Dubins theory is used for path generation. In particular, a circular–circular–circular type of the Dubins path is exploited based on a differential geometry to guarantee that the vehicles follow the road precisely in a densely distributed road environment. Moreover, to overcome the computational burden of the multi-choice multi-dimensional knapsack algorithm, a nearest insertion and auction-based approximation algorithm is newly introduced. The properties and performance of the proposed algorithm are evaluated via numerical simulations operating on a real village map and randomly generated maps with different parameters. Journal: International Journal of Systems Science Pages: 825-840 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.737116 File-URL: http://hdl.handle.net/10.1080/00207721.2012.737116 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:825-840 Template-Type: ReDIF-Article 1.0 Author-Name: Wen-Tsung Ho Author-X-Name-First: Wen-Tsung Author-X-Name-Last: Ho Author-Name: Yu-Cheng Hsiao Author-X-Name-First: Yu-Cheng Author-X-Name-Last: Hsiao Title: An integrated production and inventory model for a system comprising an assembly supply chain and a distribution network Abstract: This study investigates the production and inventory problem for a system comprising an assembly supply chain and a distribution network. A uniform lot size is produced uninterruptedly with a single setup at each production stage. Equal-sized batch shipment policy is applied to the whole system and the number of batches can be varied. All retailers have agreed on a joint replenishment policy with a common replenishment cycle. The objective is to determine the optimal common replenishment cycle, the number of batches of each production stage and retailer, all of which minimises the integrated total cost. Moreover, a new concept is introduced; namely, critical replenishment cycle. The replenishment cycle division (RCD) and recursive tightening (RT) methods are then developed to obtain the optimal solutions to the subject problem. Two theorems are verified to ensure the solutions obtained by the RCD and RT methods reaching the global optimum. An example is presented to illustrate the procedures involved in the RCD and RT methods. Journal: International Journal of Systems Science Pages: 841-857 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.737867 File-URL: http://hdl.handle.net/10.1080/00207721.2012.737867 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:841-857 Template-Type: ReDIF-Article 1.0 Author-Name: L. Ucun Author-X-Name-First: L. Author-X-Name-Last: Ucun Author-Name: I.B. Küçükdemiral Author-X-Name-First: I.B. Author-X-Name-Last: Küçükdemiral Title: Robust delay-dependent feedforward control of neutral time-delay systems via dynamic IQCs Abstract: This paper studies the design problem of delay-dependent H∞$\mathcal {H}_\infty$ based robust and optimal feedforward controller design for a class of time-delay control systems having state, control and neutral type delays which are subject to norm-bounded uncertainties and L2$\mathcal {L}_2$ type measurable or observable disturbance signals. Two independent loops which include state-feedback and dynamic feedforward controller form the basis of the proposed control scheme in this study. State-feedback controller is generally used in stabilisation of the nominal delay-free system, whereas the feedforward controller is used for improving disturbance attenuation performance of the overall system. In order to obtain less conservative results, the delay and parametric uncertainty effects are treated in operator view point and represented by frequency-dependent (dynamic) integral quadratic constraints (IQCs). Moreover, sufficient delay-dependent criterion is developed in terms of linear matrix inequalities (LMIs) such that the time-delay system having parametric uncertainties is guaranteed to be asymptotically stable with minimum achievable disturbance attenuation level. Plenty of numerical examples are provided at the end, in order to illustrate the efficiency of the proposed technique. The achieved results on minimum achievable disturbance attenuation level and maximum allowable delay bounds are exhibited to be less conservative in comparison to those of controllers having only feedback loop. Journal: International Journal of Systems Science Pages: 858-872 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.740094 File-URL: http://hdl.handle.net/10.1080/00207721.2012.740094 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:858-872 Template-Type: ReDIF-Article 1.0 Author-Name: Lokesh Nagar Author-X-Name-First: Lokesh Author-X-Name-Last: Nagar Author-Name: Pankaj Dutta Author-X-Name-First: Pankaj Author-X-Name-Last: Dutta Author-Name: Karuna Jain Author-X-Name-First: Karuna Author-X-Name-Last: Jain Title: An integrated supply chain model for new products with imprecise production and supply under scenario dependent fuzzy random demand Abstract: In the present day business scenario, instant changes in market demand, different source of materials and manufacturing technologies force many companies to change their supply chain planning in order to tackle the real-world uncertainty. The purpose of this paper is to develop a multi-objective two-stage stochastic programming supply chain model that incorporates imprecise production rate and supplier capacity under scenario dependent fuzzy random demand associated with new product supply chains. The objectives are to maximise the supply chain profit, achieve desired service level and minimise financial risk. The proposed model allows simultaneous determination of optimum supply chain design, procurement and production quantities across the different plants, and trade-offs between inventory and transportation modes for both inbound and outbound logistics. Analogous to chance constraints, we have used the possibility measure to quantify the demand uncertainties and the model is solved using fuzzy linear programming approach. An illustration is presented to demonstrate the effectiveness of the proposed model. Sensitivity analysis is performed for maximisation of the supply chain profit with respect to different confidence level of service, risk and possibility measure. It is found that when one considers the service level and risk as robustness measure the variability in profit reduces. Journal: International Journal of Systems Science Pages: 873-887 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.742594 File-URL: http://hdl.handle.net/10.1080/00207721.2012.742594 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:873-887 Template-Type: ReDIF-Article 1.0 Author-Name: B.C. Giri Author-X-Name-First: B.C. Author-X-Name-Last: Giri Author-Name: S. Sharma Author-X-Name-First: S. Author-X-Name-Last: Sharma Title: Lot sizing and unequal-sized shipment policy for an integrated production-inventory system Abstract: This article develops a single-manufacturer single-retailer production-inventory model in which the manufacturer delivers the retailer’s ordered quantity in unequal shipments. The manufacturer’s production process is imperfect and it may produce some defective items during a production run. The retailer performs a screening process immediately after receiving the order from the manufacturer. The expected average total cost of the integrated production-inventory system is derived using renewal theory and a solution procedure is suggested to determine the optimal production and shipment policy. An extensive numerical study based on different sets of parameter values is conducted and the optimal results so obtained are analysed to examine the relative performance of the models under equal and unequal shipment policies. Journal: International Journal of Systems Science Pages: 888-901 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.742595 File-URL: http://hdl.handle.net/10.1080/00207721.2012.742595 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:888-901 Template-Type: ReDIF-Article 1.0 Author-Name: Huan Pan Author-X-Name-First: Huan Author-X-Name-Last: Pan Author-Name: Xiaohong Nian Author-X-Name-First: Xiaohong Author-X-Name-Last: Nian Author-Name: Ling Guo Author-X-Name-First: Ling Author-X-Name-Last: Guo Title: Second-order consensus in multi-agent systems based on second-order neighbours’ information Abstract: This paper mainly investigates the consensus of second-order multi-agent systems by using the second-order neighbours’ information. The comparison between the convergence rate of second-order neighbour protocol and the one of general protocol is developed. When multi-agent system achieves maximum speed consensus, the relation between the parameter in general protocol and that in second-order neighbour protocol is analysed. If there exists delay in communication, the delay margins of general protocol and second-order neighbour protocol are derived. Numerical examples are given to illustrate the effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 902-914 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.742596 File-URL: http://hdl.handle.net/10.1080/00207721.2012.742596 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:902-914 Template-Type: ReDIF-Article 1.0 Author-Name: Chia-En Huang Author-X-Name-First: Chia-En Author-X-Name-Last: Huang Author-Name: Jian-Shiang Chen Author-X-Name-First: Jian-Shiang Author-X-Name-Last: Chen Title: Control of a pneumatic power active lower-limb orthosis with filter-based iterative learning control Abstract: A filter-based iterative learning control (FILC) scheme is developed in this paper, which consists in a proportional–derivative (PD) feedback controller and a feedforward filter. Moreover, based on two-dimensional system theory, the stability of the FILC system is proven. The design criteria for a wavelet transform filter (WTF) – chosen as the feedforward filter – and the PD feedback controller are also given. Finally, using a pneumatic power active lower-limb orthosis (PPALO) as the controlled plant, the wavelet-based iterative learning control (WILC) implementation and the orchestration of a trajectory tracking control simulation are given in detail and the overall tracking performance is validated. Journal: International Journal of Systems Science Pages: 915-934 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.743052 File-URL: http://hdl.handle.net/10.1080/00207721.2012.743052 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:915-934 Template-Type: ReDIF-Article 1.0 Author-Name: Cheng-Fu Huang Author-X-Name-First: Cheng-Fu Author-X-Name-Last: Huang Author-Name: Yi-Kuei Lin Author-X-Name-First: Yi-Kuei Author-X-Name-Last: Lin Title: A stochastic node-failure network with individual tolerable error rate at multiple sinks Abstract: Many enterprises consider several criteria during data transmission such as availability, delay, loss, and out-of-order packets from the service level agreements (SLAs) point of view. Hence internet service providers and customers are gradually focusing on tolerable error rate in transmission process. The internet service provider should provide the specific demand and keep a certain transmission error rate by their SLAs to each customer. This paper is mainly to evaluate the system reliability that the demand can be fulfilled under the tolerable error rate at all sinks by addressing a stochastic node-failure network (SNFN), in which each component (edge or node) has several capacities and a transmission error rate. An efficient algorithm is first proposed to generate all lower boundary points, the minimal capacity vectors satisfying demand and tolerable error rate for all sinks. Then the system reliability can be computed in terms of such points by applying recursive sum of disjoint products. A benchmark network and a practical network in the United States are demonstrated to illustrate the utility of the proposed algorithm. The computational complexity of the proposed algorithm is also analyzed. Journal: International Journal of Systems Science Pages: 935-946 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.743053 File-URL: http://hdl.handle.net/10.1080/00207721.2012.743053 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:935-946 Template-Type: ReDIF-Article 1.0 Author-Name: Amin Mannani Author-X-Name-First: Amin Author-X-Name-Last: Mannani Author-Name: Peyman Gohari Author-X-Name-First: Peyman Author-X-Name-Last: Gohari Title: A framework for synthesis of communicating decentralised supervisors for discrete-event systems Abstract: We propose a framework to study communication among decentralised supervisors for a (distributed) discrete-event system (DES), where system specifications lack co-observability. Using agent-wise labeling maps (ALMs), the framework explores the observation and control structures of an already designed centralised supervisor in a distributed manner, and represent them as polynomial equations over a finite field. Communication is naturally required to re-evaluate the equations, which depend on distributed information, correctly, and is formalised and implemented using communication events. The framework generalises the authors’ previous work on extended finite-state machines (EFSMs) by formalising system representation and communication events, proving the correctness of proposed communication policies, and algorithmic simplification of polynomial equations. This provides a systematic procedure for the synthesis of decentralised supervisors and formalisation, computation and implementation of the communication. Journal: International Journal of Systems Science Pages: 947-969 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.743054 File-URL: http://hdl.handle.net/10.1080/00207721.2012.743054 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:947-969 Template-Type: ReDIF-Article 1.0 Author-Name: Xinjin Liu Author-X-Name-First: Xinjin Author-X-Name-Last: Liu Author-Name: Yun Zou Author-X-Name-First: Yun Author-X-Name-Last: Zou Title: The global convergence analysis of a class of nonlinear network systems Abstract: In this paper, the global convergence for a class of nonlinear network systems with multiple equilibriums was studied, which can be viewed as interconnected systems composed of nonlinear systems through linear input and output interconnections. Frequency-domain conditions were established for global convergence and convergence of bounded solutions. The effects of the input and output interconnections can be studied through a nonsingular inner coupling matrix and nonzero scales, representing the interconnection, which takes values according to the eigenvalues of the nonsingular outer coupling matrix. Then, the design method based on linear matrix inequality was presented by using the KYP Lemma and Schur complement. Journal: International Journal of Systems Science Pages: 970-976 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.743055 File-URL: http://hdl.handle.net/10.1080/00207721.2012.743055 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:970-976 Template-Type: ReDIF-Article 1.0 Author-Name: Long Sheng Author-X-Name-First: Long Author-X-Name-Last: Sheng Author-Name: Xiaoyu Ma Author-X-Name-First: Xiaoyu Author-X-Name-Last: Ma Title: Stability analysis and controller design of interval type-2 fuzzy systems with time delay Abstract: The type-2 fuzzy models can handle the system uncertainties directly based on the type-2 fuzzy sets. In this paper, the Takagi–Sugeno fuzzy model approach is extended to the stability analysis and controller design for interval type-2 (IT2) fuzzy systems with time-varying delay. Delay-dependent robust stability criteria are developed in terms of linear matrix inequalities by using the improvement technique of free-weighting matrices. Less conservative results are obtained by considering the information contained in the footprint of uncertainty. Finally, two simulation examples are presented to illustrate the effectiveness of the theoretical results. One is provided to show the merits of the proposed method, the other based on the continuous stirred tank reactor model is given to illustrate the design processes of IT2 fuzzy controller for a nonlinear system with parameter uncertainties. Journal: International Journal of Systems Science Pages: 977-993 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.743056 File-URL: http://hdl.handle.net/10.1080/00207721.2012.743056 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:977-993 Template-Type: ReDIF-Article 1.0 Author-Name: Zhiyuan Liu Author-X-Name-First: Zhiyuan Author-X-Name-Last: Liu Author-Name: Qiang Meng Author-X-Name-First: Qiang Author-X-Name-Last: Meng Title: Bus-based park-and-ride system: a stochastic model on multimodal network with congestion pricing schemes Abstract: This paper focuses on modelling the network flow equilibrium problem on a multimodal transport network with bus-based park-and-ride (P&R) system and congestion pricing charges. The multimodal network has three travel modes: auto mode, transit mode and P&R mode. A continuously distributed value-of-time is assumed to convert toll charges and transit fares to time unit, and the users’ route choice behaviour is assumed to follow the probit-based stochastic user equilibrium principle with elastic demand. These two assumptions have caused randomness to the users’ generalised travel times on the multimodal network. A comprehensive network framework is first defined for the flow equilibrium problem with consideration of interactions between auto flows and transit (bus) flows. Then, a fixed-point model with unique solution is proposed for the equilibrium flows, which can be solved by a convergent cost averaging method. Finally, the proposed methodology is tested by a network example. Journal: International Journal of Systems Science Pages: 994-1006 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.743617 File-URL: http://hdl.handle.net/10.1080/00207721.2012.743617 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:994-1006 Template-Type: ReDIF-Article 1.0 Author-Name: Feng Zhang Author-X-Name-First: Feng Author-X-Name-Last: Zhang Author-Name: Guang-Ren Duan Author-X-Name-First: Guang-Ren Author-X-Name-Last: Duan Title: Robust adaptive integrated translation and rotation finite-time control of a rigid spacecraft with actuator misalignment and unknown mass property Abstract: This paper tackles the problem of integrated translation and rotation finite-time control of a rigid spacecraft with actuator misalignment and unknown mass property. Due to the system natural couplings, the coupled translational and rotational dynamics of the spacecraft is developed, where a thruster configuration with installation misalignment and unknown mass property are taken into account. By solving an equivalent designated trajectory tracking problem via backstepping philosophy, a robust adaptive integrated finite-time control scheme is proposed to enable the spacecraft track command position and attitude in a pre-determined time, despite of external disturbance, unknown mass property and thruster misalignment. The finite-time closed-loop stability is guaranteed within the Lyapunov framework. Two scenario numerical simulations demonstrate the effect of the designed controller. Journal: International Journal of Systems Science Pages: 1007-1034 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.743618 File-URL: http://hdl.handle.net/10.1080/00207721.2012.743618 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:1007-1034 Template-Type: ReDIF-Article 1.0 Author-Name: Ji-Zhong Shi Author-X-Name-First: Ji-Zhong Author-X-Name-Last: Shi Author-Name: Ji-Ye Zhang Author-X-Name-First: Ji-Ye Author-X-Name-Last: Zhang Title: String stability of infinite-dimension stochastic interconnected large-scale systems with time-varying delay Abstract: The exponential string stability for a class of nonlinear interconnected large-scale systems with time-varying delay is analysed by using the box theory and constructing a vector Lyapunov function. Under the assumption that the time delay is bounded and continuous, a criterion for exponential string stability of the systems is obtained by analysing the stability of differential inequalities with time-varying delay. The large-scale system is exponential string stable when the conditions associating with the coefficient matrices of the system and the solutions of the Lyapunov equations, interconnected with the system, are satisfied. Since it is independent of the delays and simplifies the calculation, the criterion is easy to apply. Journal: International Journal of Systems Science Pages: 1035-1041 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.744860 File-URL: http://hdl.handle.net/10.1080/00207721.2012.744860 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:1035-1041 Template-Type: ReDIF-Article 1.0 Author-Name: Stratis Kanarachos Author-X-Name-First: Stratis Author-X-Name-Last: Kanarachos Title: A new min-max methodology for computing optimised obstacle avoidance steering manoeuvres of ground vehicles Abstract: In this paper, a new methodology for computing optimised obstacle avoidance steering manoeuvres for ground vehicles is presented and discussed. Most of the existing methods formulate the obstacle avoidance problem as an optimal control problem which is hard to solve or as a numerical optimisation problem with a large number of unknowns. This method is based on a reformulation of Pontryagin's Maximum Principle and leads to the solution of an adjustable time optimal controller. The control input is significantly simplified and permits its application in a sample and hold sense. Furthermore, with the proposed approach the maximum tyre forces exerted during the manoeuvre are minimised. In this study, it is shown how to ‘warm start’ the proposed algorithm and which constraints to ‘relax’. Numerical examples and benchmark tests illustrate the performance of the proposed controller and compare it with other standard controllers. A sensitivity analysis for different vehicle parameters is performed and finally conclusions are drawn. A significant advantage of the method is the small computational complexity. The overall simplicity of the controller makes it attractive for application on autonomous vehicles. Journal: International Journal of Systems Science Pages: 1042-1057 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.745020 File-URL: http://hdl.handle.net/10.1080/00207721.2012.745020 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:1042-1057 Template-Type: ReDIF-Article 1.0 Author-Name: Xian-Ji Meng Author-X-Name-First: Xian-Ji Author-X-Name-Last: Meng Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Simultaneous fault detection and control for stochastic time-delay systems Abstract: This paper is concerned with the simultaneous fault detection and control problem for Itô-type stochastic time-delay systems. A full-order dynamic output feedback controller is designed to achieve the desired control and detection objectives. The main contributions of this paper are as follows: (1) for stochastic time-delay systems, the controller design with multiple objectives can be addressed by employing the multiple Lyapunov functions approach, (2) the dynamic output feedback controller synthesis conditions described by linear matrix inequalities (LMIs) are derived and (3) within the proposed fault detection and control framework, a better integrated control and detection performance can be obtained. Some numerical examples including the comparison results are presented to show the advantages of the proposed method. Journal: International Journal of Systems Science Pages: 1058-1069 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.745021 File-URL: http://hdl.handle.net/10.1080/00207721.2012.745021 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:1058-1069 Template-Type: ReDIF-Article 1.0 Author-Name: Zhe Shen Author-X-Name-First: Zhe Author-X-Name-Last: Shen Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Author-Name: Peng Sun Author-X-Name-First: Peng Author-X-Name-Last: Sun Title: A parameter-varying fault detection filter design approach for polytopic uncertain linear systems Abstract: This paper is concerned with the robust fault detection (FD) problem for a class of polytopic uncertain linear systems driven by a Wiener process. It is assumed that the state matrix is affinely depending on unknown but bounded time-varying parameters. A switching mechanism is introduced to construct the robust FD filter with variable gains and to improve the FD performances which are inherent in the traditional FD filter with fixed gains. Finally, the filter design problem is formulated as a feasibility problem in terms of solving linear matrix inequalities (LMIs), and an example is presented to illustrate the proposed methodology. Journal: International Journal of Systems Science Pages: 1070-1079 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.745022 File-URL: http://hdl.handle.net/10.1080/00207721.2012.745022 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:1070-1079 Template-Type: ReDIF-Article 1.0 Author-Name: Efrén Mezura-Montes Author-X-Name-First: Efrén Author-X-Name-Last: Mezura-Montes Author-Name: Edgar A. Portilla-Flores Author-X-Name-First: Edgar A. Author-X-Name-Last: Portilla-Flores Author-Name: Betania Hernández-Ocaña Author-X-Name-First: Betania Author-X-Name-Last: Hernández-Ocaña Title: Optimum synthesis of a four-bar mechanism using the modified bacterial foraging algorithm Abstract: This paper presents the mechanical synthesis of a four-bar mechanism, its definition as a constrained optimisation problem in the presence of one dynamic constraint and its solution with a swarm intelligence algorithm based on the bacteria foraging process. The algorithm is adapted to solve the optimisation problem by adding a suitable constraint-handling technique that is able to incorporate a selection criterion for the two objectives stated by the kinematic analysis of the problem. Moreover, a diversity mechanism, coupled with the attractor operator used by bacteria, is designed to favour the exploration of the search space. Four experiments are designed to validate the proposed model and to test the performance of the algorithm regarding constraint-satisfaction, sub-optimal solutions obtained, performance metrics and an analysis of the solutions based on the simulation of the four-bar mechanism. The results are compared with those provided by four algorithms found in the specialised literature used to solve mechanical design problems. On the basis of the simulation analysis, the solutions obtained by the proposed algorithm lead to a more suitable design based on motion generation and operation quality. Journal: International Journal of Systems Science Pages: 1080-1100 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.745023 File-URL: http://hdl.handle.net/10.1080/00207721.2012.745023 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:1080-1100 Template-Type: ReDIF-Article 1.0 Author-Name: Ching-Ter Chang Author-X-Name-First: Ching-Ter Author-X-Name-Last: Chang Author-Name: Huang-Mu Chen Author-X-Name-First: Huang-Mu Author-X-Name-Last: Chen Author-Name: Zheng-Yun Zhuang Author-X-Name-First: Zheng-Yun Author-X-Name-Last: Zhuang Title: Integrated multi-choice goal programming and multi-segment goal programming for supplier selection considering imperfect-quality and price-quantity discounts in a multiple sourcing environment Abstract: Supplier selection (SS) is a multi-criteria and multi-objective problem, in which multi-segment (e.g. imperfect-quality discount (IQD) and price-quantity discount (PQD)) and multi-aspiration level problems may be significantly important; however, little attention had been given to dealing with both of them simultaneously in the past. This study proposes a model for integrating multi-choice goal programming and multi-segment goal programming to solve the above-mentioned problems by providing the following main contributions: (1) it allows decision-makers to set multiple aspiration levels on the right-hand side of each goal to suit real-world situations, (2) the PQD and IQD conditions are considered in the proposed model simultaneously and (3) the proposed model can solve a SS problem with n suppliers where each supplier offers m IQD with r PQD intervals, where only n⌈lnm×rln2⌉$n\lceil {\frac{{\ln {\rm }m \times r}}{{\ln {\rm }2}}} \rceil$ extra binary variables are required. The usefulness of the proposed model is explained using a real case. The results indicate that the proposed model not only can deal with a SS problem with multi-segment and multi-aspiration levels, but also can help the decision-maker to find the appropriate order quantities for each supplier by considering cost, quality and delivery. Journal: International Journal of Systems Science Pages: 1101-1111 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.745024 File-URL: http://hdl.handle.net/10.1080/00207721.2012.745024 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:1101-1111 Template-Type: ReDIF-Article 1.0 Author-Name: Yanbing Mao Author-X-Name-First: Yanbing Author-X-Name-Last: Mao Author-Name: Hongbin Zhang Author-X-Name-First: Hongbin Author-X-Name-Last: Zhang Title: Exponential stability and robust control of a class of discrete-time switched non-linear systems with time-varying delays via T-S fuzzy model Abstract: This paper deals with stability and robust H∞ control of discrete-time switched non-linear systems with time-varying delays. The T-S fuzzy models are utilised to represent each sub-non-linear system. Thus, with two level functions, namely, crisp switching functions and local fuzzy weighting functions, we introduce a discrete-time switched fuzzy systems, which inherently contain the features of the switched hybrid systems and T-S fuzzy systems. Piecewise fuzzy weighting-dependent Lyapunov–Krasovskii functionals (PFLKFs) and average dwell-time approach are utilised in this paper for the exponentially stability analysis and controller design, and with free fuzzy weighting matrix scheme, switching control laws are obtained such that H∞ performance is satisfied. The conditions of stability and the control laws are given in the form of linear matrix inequalities (LMIs) that are numerically feasible. The state decay estimate is explicitly given. A numerical example and the control of delayed single link robot arm with uncertain part are given to demonstrate the efficiency of the proposed method. Journal: International Journal of Systems Science Pages: 1112-1127 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.745025 File-URL: http://hdl.handle.net/10.1080/00207721.2012.745025 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:1112-1127 Template-Type: ReDIF-Article 1.0 Author-Name: Iman Zamani Author-X-Name-First: Iman Author-X-Name-Last: Zamani Author-Name: Masoud Shafiee Author-X-Name-First: Masoud Author-X-Name-Last: Shafiee Author-Name: Asier Ibeas Author-X-Name-First: Asier Author-X-Name-Last: Ibeas Title: Stability analysis of hybrid switched nonlinear singular time-delay systems with stable and unstable subsystems Abstract: The issue of exponential stability of a class of continuous-time switched nonlinear singular systems consisting of a family of stable and unstable subsystems with time-varying delay is considered in this paper. Based on the free-weighting matrix approach, the average dwell-time approach and by constructing a Lyapunov-like Krasovskii functional, delay-dependent sufficient conditions are derived and formulated to check the exponential stability of such systems in terms of linear matrix inequalities (LMIs). By checking the corresponding LMI conditions, the average dwell-time and switching signal conditions are obtained. This paper also highlights the relationship between the average dwell-time of the switched nonlinear singular time-delay system, its stability and the exponential convergence rate of differential and algebraic states. A numerical example shows the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1128-1144 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.745026 File-URL: http://hdl.handle.net/10.1080/00207721.2012.745026 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:1128-1144 Template-Type: ReDIF-Article 1.0 Author-Name: Tiaoyang Cai Author-X-Name-First: Tiaoyang Author-X-Name-Last: Cai Author-Name: Huaguang Zhang Author-X-Name-First: Huaguang Author-X-Name-Last: Zhang Author-Name: Binrui Wang Author-X-Name-First: Binrui Author-X-Name-Last: Wang Author-Name: Feisheng Yang Author-X-Name-First: Feisheng Author-X-Name-Last: Yang Title: The asymptotic analysis of multiple imaginary characteristic roots for LTI delayed systems based on Puiseux–Newton diagram Abstract: The paper proposes a novel procedure for the asymptotic expansions of root loci around multiple imaginary roots of an exponential polynomial, which is necessary for the stability analysis of the LTI systems with commensurate delays. With the LTI delay systems given as exponential polynomials (also called quasi-polynomial), we seek to characterise the asymptotic behaviours of the characteristic roots of such systems in an algebraic way and determine whether the imaginary roots cross from one half-plane into another or only touch the imaginary axis. According to the Weierstrass preparation theorem, the quasi-polynomial equation is equivalent to an algebraic equation in the neighbourhood of a singular point. Furthermore, our result gives an explicit expression of the coefficients of the algebraic equation in infinite power series of delay parameter, and the determinations of such power series coefficients refer to the computation of residues of memorphic functions. Subsequently, the classic Puiseux–Newton diagram algorithm can be used to calculate the algebraic expansions of the reduced equation directly. Thus, the asymptotic behaviours of root loci around singular points of the quasi-polynomial equation are obtained. Some illustrative simulations are given to check the validity of the proposed method on asymptotic analysis with a powerful software. Journal: International Journal of Systems Science Pages: 1145-1155 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.745027 File-URL: http://hdl.handle.net/10.1080/00207721.2012.745027 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:1145-1155 Template-Type: ReDIF-Article 1.0 Author-Name: Xueyan Zhao Author-X-Name-First: Xueyan Author-X-Name-Last: Zhao Author-Name: Feiqi Deng Author-X-Name-First: Feiqi Author-X-Name-Last: Deng Title: New-type stability theorem for stochastic functional differential equations with application to SFDSs with distributed delays Abstract: In this paper, a new-type stability theorem for stochastic functional differential equations (SFDEs) is established, which is not a direct copy of the basic stability theorem for deterministic functional differential equations (DFDEs). By the new-type stability theorem, one can use the most simple Lyapunov functions and employ the equations repeatedly to deal with the delayed terms encountered conveniently and to carry out stability criteria for the equations. Based on the theorem, a practical stability theorem in accordance with the Lyapunov function method is also established, and then the asymptotic stability of SFDEs with distributed delays in the diffusive terms is investigated and a stability criterion for SFDSs is obtained, which is described by algebraic matrix equations. Finally, an example is given to illustrate the effectiveness of our method and results. Journal: International Journal of Systems Science Pages: 1156-1169 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.745028 File-URL: http://hdl.handle.net/10.1080/00207721.2012.745028 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:1156-1169 Template-Type: ReDIF-Article 1.0 Author-Name: Jifu Zhang Author-X-Name-First: Jifu Author-X-Name-Last: Zhang Author-Name: Sulan Zhang Author-X-Name-First: Sulan Author-X-Name-Last: Zhang Author-Name: Kai H. Chang Author-X-Name-First: Kai H. Author-X-Name-Last: Chang Author-Name: Xiao Qin Author-X-Name-First: Xiao Author-X-Name-Last: Qin Title: An outlier mining algorithm based on constrained concept lattice Abstract: Traditional outlier mining methods identify outliers from a global point of view. These methods are inefficient to find locally biased data points (outliers) in low dimensional subspaces. Constrained concept lattices can be used as an effective formal tool for data analysis because constrained concept lattices have the characteristics of high constructing efficiency, practicability and pertinency. In this paper, we propose an outlier mining algorithm that treats the intent of any constrained concept lattice node as a subspace. We introduce sparsity and density coefficients to measure outliers in low dimensional subspaces. The intent of any constrained concept lattice node is regarded as a subspace, and sparsity subspaces are searched by traversing the constrained concept lattice according to a sparsity coefficient threshold. If the intent of any father node of the sparsity subspace is a density subspace according to a density coefficient threshold, then objects contained in the extent of the sparsity subspace node are considered as bias data points or outliers. Our experimental results show that the proposed algorithm performs very well for high red-shift spectral data sets. Journal: International Journal of Systems Science Pages: 1170-1179 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.745029 File-URL: http://hdl.handle.net/10.1080/00207721.2012.745029 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:1170-1179 Template-Type: ReDIF-Article 1.0 Author-Name: I. Peñarrocha Author-X-Name-First: I. Author-X-Name-Last: Peñarrocha Author-Name: D. Dolz Author-X-Name-First: D. Author-X-Name-Last: Dolz Author-Name: R. Sanchis Author-X-Name-First: R. Author-X-Name-Last: Sanchis Title: Inferential networked control with accessibility constraints in both the sensor and actuator channels Abstract: The predictor and controller design for an inferential control scheme over a network is addressed. A linear plant with disturbances and measurement noise is assumed to be controlled by a controller that communicates with the sensors and the actuators through a constrained network. An algorithm is proposed such that the scarce available outputs are used to make a prediction of the system evolution with an observer that takes into account the amount of lost data between successful measurements transmissions. The state prediction is then used to calculate the control actions sent to the actuator. The possibility of control action drop due to network constraints is taken into account. This networked control scheme is analysed and both the predictor and controller designs are addressed taking into account the disturbances, the measurement noise, the scarce availability of output samples and the scarce capability of control actions update. The time-varying sampling periods that result for the process inputs and outputs due to network constraints have been determined as a function of the probability of successful transmission on a specified time with a Bernoulli distribution. For both designs H∞$\mathcal {H}_\infty$ performance has been established and linear matrix inequality (LMI) design techniques have been used to achieve a numerical solution. Journal: International Journal of Systems Science Pages: 1180-1195 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.745030 File-URL: http://hdl.handle.net/10.1080/00207721.2012.745030 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:1180-1195 Template-Type: ReDIF-Article 1.0 Author-Name: Huai-nian Zhu Author-X-Name-First: Huai-nian Author-X-Name-Last: Zhu Author-Name: Cheng-ke Zhang Author-X-Name-First: Cheng-ke Author-X-Name-Last: Zhang Author-Name: Ning Bin Author-X-Name-First: Ning Author-X-Name-Last: Bin Title: Infinite horizon linear quadratic stochastic Nash differential games of Markov jump linear systems with its application Abstract: In this paper, we deal with the problem of stochastic Nash differential games of Markov jump linear systems governed by Itô-type equation. Combining the stochastic stabilizability with the stochastic systems, a necessary and sufficient condition for the existence of the Nash strategy is presented by means of a set of cross-coupled stochastic algebraic Riccati equations. Moreover, the stochastic H2/H∞ control for stochastic Markov jump linear systems is discussed as an immediate application and an illustrative example is presented. Journal: International Journal of Systems Science Pages: 1196-1201 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.745031 File-URL: http://hdl.handle.net/10.1080/00207721.2012.745031 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:1196-1201 Template-Type: ReDIF-Article 1.0 Author-Name: S. Delprat Author-X-Name-First: S. Author-X-Name-Last: Delprat Author-Name: A. Ferreira de Loza Author-X-Name-First: A. Author-X-Name-Last: Ferreira de Loza Title: High order sliding mode control for hybrid vehicle stability Abstract: This paper tackles the problem of driving stability for a hybrid vehicle. A rear electric motor has been added to the vehicle driveline and the positive/negative torque generated by this motor affects the driving conditions. The vehicle stability control is addressed using high order sliding modes (HOSMs) control and observation techniques. Two cases are studied: yaw stability and traction control. The proposed controllers preserve the system’s safety under undesirable rear motor effects, at the same time, they cope with vehicle uncertainties. The feasibility of this platform was tested in a vehicle simulator. Journal: International Journal of Systems Science Pages: 1202-1212 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.745241 File-URL: http://hdl.handle.net/10.1080/00207721.2012.745241 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:1202-1212 Template-Type: ReDIF-Article 1.0 Author-Name: Li Sheng Author-X-Name-First: Li Author-X-Name-Last: Sheng Author-Name: Ming Gao Author-X-Name-First: Ming Author-X-Name-Last: Gao Author-Name: Weihai Zhang Author-X-Name-First: Weihai Author-X-Name-Last: Zhang Title: Dissipative control for Markov jump non-linear stochastic systems based on T–S fuzzy model Abstract: The dissipative analysis and control problems for a class of Markov jump non-linear stochastic systems (MJNSSs) are investigated. A sufficient condition for the dissipativity of MJNSSs is given in terms of coupled non-linear Hamilton–Jacobi inequalities (HJIs). Generally, it is difficult to solve the coupled HJIs. In this paper, based on T–S fuzzy model, the dissipative analysis and controller design for MJNSSs is proposed via solving a set of linear matrix inequalities (LMIs) instead of HJIs. Finally, a numerical example is presented to show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1213-1224 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.748103 File-URL: http://hdl.handle.net/10.1080/00207721.2012.748103 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:1213-1224 Template-Type: ReDIF-Article 1.0 Author-Name: Hui Li Author-X-Name-First: Hui Author-X-Name-Last: Li Author-Name: Jun-Ling Yu Author-X-Name-First: Jun-Ling Author-X-Name-Last: Yu Author-Name: Le-An Yu Author-X-Name-First: Le-An Author-X-Name-Last: Yu Author-Name: Jie Sun Author-X-Name-First: Jie Author-X-Name-Last: Sun Title: The clustering-based case-based reasoning for imbalanced business failure prediction: a hybrid approach through integrating unsupervised process with supervised process Abstract: Case-based reasoning (CBR) is one of the main forecasting methods in business forecasting, which performs well in prediction and holds the ability of giving explanations for the results. In business failure prediction (BFP), the number of failed enterprises is relatively small, compared with the number of non-failed ones. However, the loss is huge when an enterprise fails. Therefore, it is necessary to develop methods (trained on imbalanced samples) which forecast well for this small proportion of failed enterprises and performs accurately on total accuracy meanwhile. Commonly used methods constructed on the assumption of balanced samples do not perform well in predicting minority samples on imbalanced samples consisting of the minority/failed enterprises and the majority/non-failed ones. This article develops a new method called clustering-based CBR (CBCBR), which integrates clustering analysis, an unsupervised process, with CBR, a supervised process, to enhance the efficiency of retrieving information from both minority and majority in CBR. In CBCBR, various case classes are firstly generated through hierarchical clustering inside stored experienced cases, and class centres are calculated out by integrating cases information in the same clustered class. When predicting the label of a target case, its nearest clustered case class is firstly retrieved by ranking similarities between the target case and each clustered case class centre. Then, nearest neighbours of the target case in the determined clustered case class are retrieved. Finally, labels of the nearest experienced cases are used in prediction. In the empirical experiment with two imbalanced samples from China, the performance of CBCBR was compared with the classical CBR, a support vector machine, a logistic regression and a multi-variant discriminate analysis. The results show that compared with the other four methods, CBCBR performed significantly better in terms of sensitivity for identifying the minority samples and generated high total accuracy meanwhile. The proposed approach makes CBR useful in imbalanced forecasting. Journal: International Journal of Systems Science Pages: 1225-1241 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2012.748105 File-URL: http://hdl.handle.net/10.1080/00207721.2012.748105 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:1225-1241 Template-Type: ReDIF-Article 1.0 Author-Name: Hui Shu Author-X-Name-First: Hui Author-X-Name-Last: Shu Author-Name: Xideng Zhou Author-X-Name-First: Xideng Author-X-Name-Last: Zhou Title: An optimal policy for a single-vendor and a single-buyer integrated system with setup cost reduction and process-quality improvement Abstract: The single-vendor single-buyer integrated production inventory system has been an object of study for a long time, but little is known about the effect of investing in reducing setup cost reduction and process-quality improvement for an integrated inventory system in which the products are sold with free minimal repair warranty. The purpose of this article is to minimise the integrated cost by optimising simultaneously the number of shipments and the shipment quantity, the setup cost, and the process quality. An efficient algorithm procedure is proposed for determining the optimal decision variables. A numerical example is presented to illustrate the results of the proposed models graphically. Sensitivity analysis of the model with respect to key parameters of the system is carried out. The paper shows that the proposed integrated model can result in significant savings in the integrated cost. Journal: International Journal of Systems Science Pages: 1242-1252 Issue: 5 Volume: 45 Year: 2014 Month: 5 X-DOI: 10.1080/00207721.2013.786155 File-URL: http://hdl.handle.net/10.1080/00207721.2013.786155 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:1242-1252 Template-Type: ReDIF-Article 1.0 Author-Name: Nezar M. Alyazidi Author-X-Name-First: Nezar M. Author-X-Name-Last: Alyazidi Author-Name: Magdi S. Mahmoud Author-X-Name-First: Magdi S. Author-X-Name-Last: Mahmoud Title: 𝕃1 adaptive networked controller for islanded distributed generation systems in a microgrid Abstract: In this paper, we implement an output-feedback $ \mathfrak{L}_{1} $ L1 adaptive controller for islanded distributed generation systems (DGs) with communication, load and generation constraints. The $ \mathfrak{L}_{1} $ L1 adaptive controller is introduced to deal with nonlinearities of dynamical systems and unknown constraints. It primarily consists of a predictor, an adaptive law, and a control law. Herein, the controller can sustain desired performance and the robustness, in which the control law loop contains a low pass filter that sustain a rapid adaptation rate without fluctuations. The critical challenge into a standalone microgrid is to coordinate the necessitate load power with the distributed generations production in the presence of load/generation fluctuations. The coordinated controller is implemented to undertake the conflicts, and to enhance the performance, and to minimise the control cost by coordinate the requirements between decentralised controllers. The proposed controller is worthy for ensuring the network stability of DGs in a microgrid environment in the presence of uncertainties and transmission time delays. A typical simulation example is presented to confirm the effectiveness of the proposed design procedure. Journal: International Journal of Systems Science Pages: 2507-2524 Issue: 12 Volume: 49 Year: 2018 Month: 9 X-DOI: 10.1080/00207721.2018.1487093 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1487093 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:12:p:2507-2524 Template-Type: ReDIF-Article 1.0 Author-Name: Lijian Yin Author-X-Name-First: Lijian Author-X-Name-Last: Yin Author-Name: Yuanqing Xia Author-X-Name-First: Yuanqing Author-X-Name-Last: Xia Author-Name: Zhihong Deng Author-X-Name-First: Zhihong Author-X-Name-Last: Deng Author-Name: Baoyu Huo Author-X-Name-First: Baoyu Author-X-Name-Last: Huo Title: Extended state observer-based attitude fault-tolerant control of rigid spacecraft Abstract: In this paper, a novel fault-tolerant attitude tracking control is proposed for a rigid spacecraft with uncertain inertia matrix, actuator faults, actuator misalignment and external disturbances. The uncertainty of the inertial matrix is caused by the rotation of solar panels, payload movement and fuel consumption, and actuator faults, which include partially failed and completely failed actuators. A novel extended state observer is proposed to estimate the total uncertainties and a fast nonsingular terminal sliding-mode control scheme is proposed to get a faster, higher control precision. Strict finite-time convergence and the concrete convergence time are given. Finally, all the states of the closed-loop system are guaranteed to converge to the corresponding region in a finite time by choosing appropriate parameters. Simulation and comparison results further show the effectiveness and advantages of this method. Journal: International Journal of Systems Science Pages: 2525-2535 Issue: 12 Volume: 49 Year: 2018 Month: 9 X-DOI: 10.1080/00207721.2018.1498556 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1498556 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:12:p:2525-2535 Template-Type: ReDIF-Article 1.0 Author-Name: Yang Yang Author-X-Name-First: Yang Author-X-Name-Last: Yang Author-Name: Dong Yue Author-X-Name-First: Dong Author-X-Name-Last: Yue Author-Name: Xiangpeng Xie Author-X-Name-First: Xiangpeng Author-X-Name-Last: Xie Title: Observer-based event-triggered leader-following control of a class of linear multi-agent systems Abstract: This paper addresses an observer-based consensus problem for leader-following control of a class of linear multi-agent systems (MASs) under a directed communication topology via event-triggered approaches. State observers are employed to tackle the scenario wherein inner information of the follower agents are not available for measurement. And then, an observer-based distributed leader-following control scheme is developed on the basis of event-triggered mechanisms. Further, to avoid continuous measurement information monitor, we present a technical approach for generation of the combinational information from their own neighbouring agents only at triggered instants. In theory, the stability of the resulting closed-loop system is rigorously investigated, and it is proven that all signals in the closed-loop system are bounded and Zeno behaviour is also excluded. Finally, simulation examples are presented for illustration of the theoretical claims. Journal: International Journal of Systems Science Pages: 2536-2547 Issue: 12 Volume: 49 Year: 2018 Month: 9 X-DOI: 10.1080/00207721.2018.1502833 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1502833 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:12:p:2536-2547 Template-Type: ReDIF-Article 1.0 Author-Name: Guodong Zhao Author-X-Name-First: Guodong Author-X-Name-Last: Zhao Author-Name: Haitao Li Author-X-Name-First: Haitao Author-X-Name-Last: Li Author-Name: Weiwei Sun Author-X-Name-First: Weiwei Author-X-Name-Last: Sun Author-Name: Fuad E. Alsaadi Author-X-Name-First: Fuad E. Author-X-Name-Last: Alsaadi Title: Modelling and strategy consensus for a class of networked evolutionary games Abstract: Using the semi-tensor product method, this paper investigates the algebraic formulation and strategy consensus for a class of networked evolutionary games (NEGs) with ‘unconditional imitation updating rule’, and presents a number of new results. First, the given NEG is converted to an algebraic form via the semi-tensor product method, and an algorithm is established to obtain the algebraic expression of the considered game. Second, based on the algebraic form, the behaviours of the players in the given evolutionary games are analysed, and some meaningful results are presented. Finally, the strategy consensus problem is considered by adding a pseudo-player to the game, and a free-type control sequence is designed to make the given NEG reach strategy consensus. The study of an illustrative example shows that the new results obtained in this paper work very well. Journal: International Journal of Systems Science Pages: 2548-2557 Issue: 12 Volume: 49 Year: 2018 Month: 9 X-DOI: 10.1080/00207721.2018.1506063 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1506063 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:12:p:2548-2557 Template-Type: ReDIF-Article 1.0 Author-Name: Morteza Sajadi Author-X-Name-First: Morteza Author-X-Name-Last: Sajadi Author-Name: Mohammad Ataei Author-X-Name-First: Mohammad Author-X-Name-Last: Ataei Author-Name: Mohsen Ekramian Author-X-Name-First: Mohsen Author-X-Name-Last: Ekramian Title: Cascade high-gain observers for a class of nonlinear systems with large delayed measurements Abstract: This paper proposes a cascade high-gain observer for a class of triangular nonlinear systems with large and diverse time delays at states and output equation. Compared with some existing results in the literature, the main contribution is to consider the simultaneous and diverse delays in both states and output and further, to propose a cascade observer in dealing with arbitrarily large delayed measurements. By choosing a suitable Lyapunov-Krasovskii functional, the sufficient condition is presented that guarantees the exponential convergence of observation error to the origin. Simulation results on a numerical example and a practical case study involving inverted pendulum are finally given to illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 2558-2570 Issue: 12 Volume: 49 Year: 2018 Month: 9 X-DOI: 10.1080/00207721.2018.1506064 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1506064 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:12:p:2558-2570 Template-Type: ReDIF-Article 1.0 Author-Name: Zongyi Guo Author-X-Name-First: Zongyi Author-X-Name-Last: Guo Author-Name: Jianguo Guo Author-X-Name-First: Jianguo Author-X-Name-Last: Guo Author-Name: Jun Zhou Author-X-Name-First: Jun Author-X-Name-Last: Zhou Author-Name: Jinlong Zhao Author-X-Name-First: Jinlong Author-X-Name-Last: Zhao Author-Name: Bin Zhao Author-X-Name-First: Bin Author-X-Name-Last: Zhao Title: Reentry attitude tracking via coupling effect-triggered control subjected to bounded uncertainties Abstract: The attitude tracking control issue for hypersonic reentry vehicle subjected to bounded uncertainties is investigated in this paper. The uncertainties are estimated by a disturbance observer with a simple structure whose parameter tuning methodology is provided to guarantee the system robustness. The coupling effect of the hypersonic reentry vehicle is analysed with a binary form based on a coupling effect indicator. The positive or negative value of indicator represents the harmful or beneficial coupling effect on the system. Then, a coupling effect-triggered control is developed to cancel the harmful couplings while utilising the beneficial couplings. The trigger point in the controller occurs when the property of the coupling effect happens to change. The specific criterion is introduced to quantify the performance improvement via the proposed scheme. Application to the hypersonic reentry tracking is presented to demonstrate the validity of the proposed method. Journal: International Journal of Systems Science Pages: 2571-2585 Issue: 12 Volume: 49 Year: 2018 Month: 9 X-DOI: 10.1080/00207721.2018.1506065 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1506065 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:12:p:2571-2585 Template-Type: ReDIF-Article 1.0 Author-Name: M. Venkatesh Author-X-Name-First: M. Author-X-Name-Last: Venkatesh Author-Name: S. Patra Author-X-Name-First: S. Author-X-Name-Last: Patra Author-Name: K. Ramakrishnan Author-X-Name-First: K. Author-X-Name-Last: Ramakrishnan Author-Name: G. Ray Author-X-Name-First: G. Author-X-Name-Last: Ray Title: An improved stability result for linear time-delay system using a new Lyapunov–Krasovskii functional and extended reciprocally convex inequality Abstract: This paper is concerned with the stability analysis of a linear system with interval time-varying delay using an augmented Lyapunov–Krasovskii (LK) functional approach. A delay-dependent stability criterion is developed in LMI framework to estimate the maximum allowable bound of the time-delay within which the system remains asymptotically stable in the sense of Lyapunov. Conservatism in the proposed delay-dependent stability analysis is reduced by introducing a new LK functional along with the Wirtinger's inequality and extended reciprocally convex matrix inequality. Finally, two numerical examples and the load frequency control problem have been solved to validate the superiority of the proposed stability criterion compared to existing literature. Journal: International Journal of Systems Science Pages: 2586-2600 Issue: 12 Volume: 49 Year: 2018 Month: 9 X-DOI: 10.1080/00207721.2018.1506066 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1506066 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:12:p:2586-2600 Template-Type: ReDIF-Article 1.0 Author-Name: Gwo-Ruey Yu Author-X-Name-First: Gwo-Ruey Author-X-Name-Last: Yu Author-Name: Yu-Chia Huang Author-X-Name-First: Yu-Chia Author-X-Name-Last: Huang Author-Name: Chih-Yung Cheng Author-X-Name-First: Chih-Yung Author-X-Name-Last: Cheng Title: Optimally robust H∞ polynomial fuzzy controller design using quantum-inspired evolutionary algorithm Abstract: This paper proposes an optimally robust H∞ polynomial fuzzy controller design using quantum-inspired evolutionary algorithm (QEA) for continuous/discrete time polynomial fuzzy systems with model uncertainties and external disturbances. To improve control performance, QEA is adopted to evolve optimal control gains with a fitness function that is defined by performance requirements. The stability and robustness of the control system are then guaranteed by the proposed robust H∞ stability conditions, which are formed by the sum of squares (SOS) method. By using the principle of copositivity, novel relaxed SOS-based stability conditions are derived to reduce the conservativeness of solving SOS-based stability conditions, while the feasible solution space is broadened. Four numerical examples demonstrate the effectiveness of the proposed approaches. Journal: International Journal of Systems Science Pages: 2601-2617 Issue: 12 Volume: 49 Year: 2018 Month: 9 X-DOI: 10.1080/00207721.2018.1506522 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1506522 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:12:p:2601-2617 Template-Type: ReDIF-Article 1.0 Author-Name: Yuan-Xin Li Author-X-Name-First: Yuan-Xin Author-X-Name-Last: Li Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Author-Name: Shaocheng Tong Author-X-Name-First: Shaocheng Author-X-Name-Last: Tong Title: Event-triggered adaptive fuzzy tracking control of nonlinear MIMO systems Abstract: This paper addresses the problem of an adaptive fuzzy event-triggered control (ETC) for uncertain multi-input and multi-output nonlinear systems. To reduce the communication burden of the network control systems, a novel state-dependent event-triggering condition is designed to decide when to update the controllers. By combining the backstepping and event-trigged techniques, the adaptive fuzzy ETC strategies are developed and the resulting closed-loop system is semi-global bounded. Finally, the analytical results are substantiated using simulation studies. Journal: International Journal of Systems Science Pages: 2618-2629 Issue: 12 Volume: 49 Year: 2018 Month: 9 X-DOI: 10.1080/00207721.2018.1506523 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1506523 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:12:p:2618-2629 Template-Type: ReDIF-Article 1.0 Author-Name: Mohsen Vakilzadeh Author-X-Name-First: Mohsen Author-X-Name-Last: Vakilzadeh Author-Name: Mohammad Eghtesad Author-X-Name-First: Mohammad Author-X-Name-Last: Eghtesad Author-Name: Ramin Vatankhah Author-X-Name-First: Ramin Author-X-Name-Last: Vatankhah Author-Name: Masih Mahmoodi Author-X-Name-First: Masih Author-X-Name-Last: Mahmoodi Title: Model order reduction of second-order systems with nonlinear stiffness using Krylov subspace methods and their symmetric transfer functions Abstract: In this investigation, Model Order Reduction (MOR) of second-order systems having cubic nonlinearity in stiffness is developed for the first time using Krylov subspace methods and the associated symmetric transfer functions. In doing so, new second-order Krylov subspaces will be defined for MOR procedure which avoids the need to transform the second-order system to its state space form and thus the main characteristics of the second-order system such as symmetry and positive definiteness of mass and stiffness matrices will be preserved. To show the efficacy of the presented method, three examples will be considered as practical case studies. The first example is a nonlinear shear-beam building model subjected to a seismic disturbance. The second and third examples are nonlinear longitudinal vibration of a rod and vibration of a cantilever beam resting on a nonlinear elastic foundation, respectively. Simulation results in all cases show good accuracy of the vibrational response of the reduced order models when compared with the original ones while reducing the computational load. Journal: International Journal of Systems Science Pages: 2630-2643 Issue: 12 Volume: 49 Year: 2018 Month: 9 X-DOI: 10.1080/00207721.2018.1506832 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1506832 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:12:p:2630-2643 Template-Type: ReDIF-Article 1.0 Author-Name: Ying Zhao Author-X-Name-First: Ying Author-X-Name-Last: Zhao Author-Name: Jun Zhao Author-X-Name-First: Jun Author-X-Name-Last: Zhao Title: L2 bumpless transfer control for switched linear systems with stability Abstract: This paper focuses on the issue of $ {L_2} $ L2 bumpless transfer control for a class of switched linear systems with stability. First, a concept of $ L_2 $ L2 bumpless transfer performance for a system in this class is introduced. Second, sufficient conditions for the $ L_2 $ L2 bumpless transfer performance, stabilisation and disturbance rejection are presented by co-design of a switching law and a compensator. The sufficient conditions allow each closed-loop subsystem not to satisfy the $ L_2 $ L2 bumpless transfer performance, stabilisation and disturbance rejection. Furthermore, a solution to the $ L_2 $ L2 bumpless transfer control problem for the system with stability is also provided in terms of linear matrix inequalities (LMIs). Finally, an example is given to show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2644-2657 Issue: 12 Volume: 49 Year: 2018 Month: 9 X-DOI: 10.1080/00207721.2018.1508786 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1508786 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:12:p:2644-2657 Template-Type: ReDIF-Article 1.0 Author-Name: Wei Chen Author-X-Name-First: Wei Author-X-Name-Last: Chen Author-Name: Derui Ding Author-X-Name-First: Derui Author-X-Name-Last: Ding Author-Name: Guoliang Wei Author-X-Name-First: Guoliang Author-X-Name-Last: Wei Author-Name: Sunjie Zhang Author-X-Name-First: Sunjie Author-X-Name-Last: Zhang Author-Name: Yurong Li Author-X-Name-First: Yurong Author-X-Name-Last: Li Title: Event-based containment control for multi-agent systems with packet dropouts Abstract: This paper is concerned with the event-triggered containment control for stochastic multi-agent systems subject to packet dropouts. The adopted event-triggered protocol is with absolutely triggered conditions catering for the requirement of real-time to an extreme. In light of such a protocol, a novel definition of containment control in mean-square sense, named as χ-containment, is proposed to better describe the tracking dynamics of followers. Based on relative measurement outputs, the purpose of this paper is to design an output-feedback controller such that all followers converge into the convex hull spanned by leaders. First, with the help of the property of the Laplacian matrix, the containment control problem is transformed to an easily setting step by step. Then, sufficient conditions with the form of matrix inequalities are derived to guarantee the desired χ-containment which depends on the initial values and the event-triggered thresholds. By introducing a free matrix combined with an orthogonal basis of the null space of control matrix, the controller gain can be obtained by solving a set of linear matrix inequalities. Finally, a simulation example is given to verify the effectiveness of the designed control protocol. Journal: International Journal of Systems Science Pages: 2658-2669 Issue: 12 Volume: 49 Year: 2018 Month: 9 X-DOI: 10.1080/00207721.2018.1508787 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1508787 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:12:p:2658-2669 Template-Type: ReDIF-Article 1.0 Author-Name: Liang Qiao Author-X-Name-First: Liang Author-X-Name-Last: Qiao Author-Name: Ying Yang Author-X-Name-First: Ying Author-X-Name-Last: Yang Title: Improved results on stability analysis and controller synthesis for T-S fuzzy systems Abstract: This paper is concerned with the stability analysis and synthesis issues for T-S fuzzy systems. By fully using the properties of fuzzy weighting functions and matrix inequalities, two improved sufficient stability conditions are derived based on the common Lyapunov function and fuzzy Lyapunov function, respectively. It is not necessary to require every fuzzy subsystem to be stable in these conditions. Following the analysis, both parallel and non-parallel distributed compensation controllers are obtained by solving linear matrix inequalities. Finally, four examples are given to show the effectiveness of our proposed approach and the advantages of the approach over existing methods. Journal: International Journal of Systems Science Pages: 2670-2681 Issue: 12 Volume: 49 Year: 2018 Month: 9 X-DOI: 10.1080/00207721.2018.1508788 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1508788 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:12:p:2670-2681 Template-Type: ReDIF-Article 1.0 Author-Name: Jian Liu Author-X-Name-First: Jian Author-X-Name-Last: Liu Author-Name: Xiaoe Ruan Author-X-Name-First: Xiaoe Author-X-Name-Last: Ruan Title: Convergence properties of two networked iterative learning control schemes for discrete-time systems with random packet dropout Abstract: This paper addresses convergence issue of two networked iterative learning control (NILC) schemes for a class of discrete-time nonlinear systems with random packet dropout occurred in input and output channels and modelled as 0–1 Bernoulli-type random variable. In the two NILC schemes, the dropped control input of the current iteration is substituted by the synchronous input used at the previous iteration, whilst for the dropped system output, the first replacement strategy is to replace it by the synchronous pre-given desired trajectory and the second one is to substitute it by the synchronous output used at the previous iteration. By the stochastic analysis technique, we analyse the convergence properties of two NILC schemes. It is shown that under appropriate constraints on learning gain and packet dropout probabilities, the tracking errors driven by the two schemes are convergent to zero in the expectation sense along iteration direction, respectively. Finally, illustrative simulations are carried out to manifest the validity and effectiveness of the results. Journal: International Journal of Systems Science Pages: 2682-2694 Issue: 12 Volume: 49 Year: 2018 Month: 9 X-DOI: 10.1080/00207721.2018.1509244 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1509244 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:12:p:2682-2694 Template-Type: ReDIF-Article 1.0 Author-Name: Sang-Young Oh Author-X-Name-First: Sang-Young Author-X-Name-Last: Oh Author-Name: Ho-Lim Choi Author-X-Name-First: Ho-Lim Author-X-Name-Last: Choi Title: Robust approximate feedback linearisation control for nonlinear systems with uncertain parameters and external disturbance: its application to an electromagnetic levitation system Abstract: A robust control scheme with a gain-scaling factor is proposed for an extended class of nonlinear systems. Compared with many previous studies, our considered systems are more generalised by including uncertain parameters, perturbed nonlinearities, and external disturbance. With our control scheme, all states of the controlled system remain bounded. Moreover, it is shown that the ultimate bounds of some system states can be made (arbitrarily) small by adjusting the gain-scaling factor depending on the nonlinearities and external disturbance. The effectiveness of our control scheme is experimentally shown via its application in the control of an electromagnetic levitation system. Journal: International Journal of Systems Science Pages: 2695-2703 Issue: 12 Volume: 49 Year: 2018 Month: 9 X-DOI: 10.1080/00207721.2018.1510058 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1510058 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:12:p:2695-2703 Template-Type: ReDIF-Article 1.0 Author-Name: Luca Faramondi Author-X-Name-First: Luca Author-X-Name-Last: Faramondi Author-Name: Roberto Setola Author-X-Name-First: Roberto Author-X-Name-Last: Setola Author-Name: Gabriele Oliva Author-X-Name-First: Gabriele Author-X-Name-Last: Oliva Title: Performance and robustness of discrete and finite time average consensus algorithms Abstract: In this paper, we review some of the main discrete and finite time average consensus implementations in the literature, discussing their strengths and shortcomings from a theoretical and empirical point of view. In particular, we compare the computational characteristics of the different algorithms, their behaviour considering different underlying network topologies, their ability to withstand packet losses and their robustness to attacks where a malicious node aims to steer the result of the algorithm towards a desired value, without letting the other nodes detect the attack. Specifically, we will discuss synchronous approaches, where the nodes broadcast their messages, and asynchronous approaches, where the nodes need to be able to address their neighbours individually on a point-to-point basis (i.e. by direct communication between a specific sender and a specific receiver). With the aim to overcome some critical aspects of the considered methodologies, in this paper we present an asynchronous consensus algorithm based on a broadcast-only approach. The algorithm is characterised by a good trade-off between the robustness of synchronous approaches and to low computational demands of asynchronous methods. Journal: International Journal of Systems Science Pages: 2704-2724 Issue: 12 Volume: 49 Year: 2018 Month: 9 X-DOI: 10.1080/00207721.2018.1510059 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1510059 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:12:p:2704-2724 Template-Type: ReDIF-Article 1.0 Author-Name: Yiwei Feng Author-X-Name-First: Yiwei Author-X-Name-Last: Feng Author-Name: Yudan Cai Author-X-Name-First: Yudan Author-X-Name-Last: Cai Title: Stability and performance analysis of switched linear systems subject to time delays and actuator saturation Abstract: This paper is devoted to the stability and the performance for the switched linear systems with time delays and actuator saturation. Problems to be considered include the reachable set under a class of bounded energy disturbances and time delays. This treatment yields two forms of differential inclusions, a polytopic differential inclusion (PDI) and a norm-bounded differential inclusion (NDI) that contain the original system. Using the PDI and the NDI describing actuator saturation systems, sufficient conditions for the output feedback control laws are derived to stabilise the systems. The estimation of the attraction domain is to ensure that the state remains inside the level set of a certain Lyapunov function where the PDI and NDI are valid. The sufficient conditions for stability and performances are derived as linear matrix inequalities. A example based on jitterbug tools is used to illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 2725-2736 Issue: 12 Volume: 49 Year: 2018 Month: 9 X-DOI: 10.1080/00207721.2018.1511871 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1511871 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:12:p:2725-2736 Template-Type: ReDIF-Article 1.0 Author-Name: Fenglan Sun Author-X-Name-First: Fenglan Author-X-Name-Last: Sun Author-Name: Zhi-Hong Guan Author-X-Name-First: Zhi-Hong Author-X-Name-Last: Guan Author-Name: Li Ding Author-X-Name-First: Li Author-X-Name-Last: Ding Author-Name: Yan-Wu Wang Author-X-Name-First: Yan-Wu Author-X-Name-Last: Wang Title: Mean square average-consensus for multi-agent systems with measurement noise and time delay Abstract: Mean square average consensus for multi-agent systems with measurement noise and time delay under fixed digraph is studied in this article. The time-varying consensus-gain is introduced to attenuate the measurement noise. By combining the tools of algebraic graph theory, matrix theory and stochastic analysis, consensus protocols for multi-agent systems with measurement noise and time delay are elaborately analysed. The example and simulation results are given to illustrate the effectiveness of the obtained theoretical results. Moreover, the simulations demonstrate that, the proper consensus-gain function in the consensus protocol is the necessary and sufficient condition for the convergence of the multi-agent systems. Journal: International Journal of Systems Science Pages: 995-1005 Issue: 6 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.652221 File-URL: http://hdl.handle.net/10.1080/00207721.2011.652221 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:6:p:995-1005 Template-Type: ReDIF-Article 1.0 Author-Name: Yunlong Gao Author-X-Name-First: Yunlong Author-X-Name-Last: Gao Author-Name: Feng Gao Author-X-Name-First: Feng Author-X-Name-Last: Gao Author-Name: Qiaozhu Zhai Author-X-Name-First: Qiaozhu Author-X-Name-Last: Zhai Author-Name: Xiaohong Guan Author-X-Name-First: Xiaohong Author-X-Name-Last: Guan Title: Self-balancing dynamic scheduling of electrical energy for energy-intensive enterprises Abstract: Balancing production and consumption with self-generation capacity in energy-intensive enterprises has huge economic and environmental benefits. However, balancing production and consumption with self-generation capacity is a challenging task since the energy production and consumption must be balanced in real time with the criteria specified by power grid. In this article, a mathematical model for minimising the production cost with exactly realisable energy delivery schedule is formulated. And a dynamic programming (DP)-based self-balancing dynamic scheduling algorithm is developed to obtain the complete solution set for such a multiple optimal solutions problem. For each stage, a set of conditions are established to determine whether a feasible control trajectory exists. The state space under these conditions is partitioned into subsets and each subset is viewed as an aggregate state, the cost-to-go function is then expressed as a function of initial and terminal generation levels of each stage and is proved to be a staircase function with finite steps. This avoids the calculation of the cost-to-go of every state to resolve the issue of dimensionality in DP algorithm. In the backward sweep process of the algorithm, an optimal policy is determined to maximise the realisability of energy delivery schedule across the entire time horizon. And then in the forward sweep process, the feasible region of the optimal policy with the initial and terminal state at each stage is identified. Different feasible control trajectories can be identified based on the region; therefore, optimising for the feasible control trajectory is performed based on the region with economic and reliability objectives taken into account. Journal: International Journal of Systems Science Pages: 1006-1025 Issue: 6 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.652223 File-URL: http://hdl.handle.net/10.1080/00207721.2011.652223 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:6:p:1006-1025 Template-Type: ReDIF-Article 1.0 Author-Name: Yu-Ren Chen Author-X-Name-First: Yu-Ren Author-X-Name-Last: Chen Author-Name: Chung-Yuan Dye Author-X-Name-First: Chung-Yuan Author-X-Name-Last: Dye Title: Application of particle swarm optimisation for solving deteriorating inventory model with fluctuating demand and controllable deterioration rate Abstract: In most of the inventory models in the literature, the deterioration rate of goods is viewed as an exogenous variable, which is not subject to control. In the real market, the retailer can reduce the deterioration rate of product by making effective capital investment in storehouse equipments. In this study, we formulate a deteriorating inventory model with time-varying demand by allowing preservation technology cost as a decision variable in conjunction with replacement policy. The objective is to find the optimal replenishment and preservation technology investment strategies while minimising the total cost over the planning horizon. For any given feasible replenishment scheme, we first prove that the optimal preservation technology investment strategy not only exists but is also unique. Then, a particle swarm optimisation is coded and used to solve the nonlinear programming problem by employing the properties derived from this article. Some numerical examples are used to illustrate the features of the proposed model. Journal: International Journal of Systems Science Pages: 1026-1039 Issue: 6 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.652224 File-URL: http://hdl.handle.net/10.1080/00207721.2011.652224 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:6:p:1026-1039 Template-Type: ReDIF-Article 1.0 Author-Name: Zhong-Ke Shi Author-X-Name-First: Zhong-Ke Author-X-Name-Last: Shi Author-Name: Fang-Xiang Wu Author-X-Name-First: Fang-Xiang Author-X-Name-Last: Wu Title: Robust identification method for nonlinear model structures and its application to high-performance aircraft Abstract: A common assumption is that the model structure is known for modelling high performance aircraft. In practice, this is not the case. Actually, structure identification plays the most important role in the processing of nonlinear system modelling. The integration of mode structure identification and parameter estimation is an efficient method to construct the model for high performance aircraft, which is nonlinear and also contains uncertainties. This article presents an efficient method for identifying nonlinear model structure and estimating parameters for high-performance aircraft model, which contains uncertainties. The parameters associated with nonlinear terms are considered one after the other if they should be included in the nonlinear model until a stopping criterion is met, which is based on Akaike's information criterion. A numerically efficient U-D factorisation is presented to avoid complex computation of high-order matrices. The proposed method is applied to flight test data of a high-performance aircraft. The results demonstrate that the proposed method could obtain the good aircraft model with a reasonably good fidelity based on the comparison with flight test data. Journal: International Journal of Systems Science Pages: 1040-1051 Issue: 6 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.652225 File-URL: http://hdl.handle.net/10.1080/00207721.2011.652225 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:6:p:1040-1051 Template-Type: ReDIF-Article 1.0 Author-Name: Chun-Fu Chuang Author-X-Name-First: Chun-Fu Author-X-Name-Last: Chuang Author-Name: Wen-June Wang Author-X-Name-First: Wen-June Author-X-Name-Last: Wang Author-Name: Yeong-Jeu Sun Author-X-Name-First: Yeong-Jeu Author-X-Name-Last: Sun Author-Name: Ying-Jen Chen Author-X-Name-First: Ying-Jen Author-X-Name-Last: Chen Title: Convergence time guarantee for uncertain chaotic systems synchronisation Abstract: This study investigates the synchronisation problem for the unified chaotic systems with bounded uncertain parameters. Based on the error system between the master and slave systems, Lyapunov theory and the finite-time stability are utilised to synthesise the controller such that the robust synchronisation is achieved within a finite convergence time, where the convergence time depends on two constants and which are called the exponential convergence and finite-time convergence rates, respectively. In the proposed theorem, the postive values of and can be assigned by the designer such that the proposed control low can guarantee the master system which is synchronised by the slave system within a finite convergence time. Moreover, the design procedure and numerical examples are provided to demonstrate the validity and the robustness of the proposed synchronisation scheme. Journal: International Journal of Systems Science Pages: 1052-1060 Issue: 6 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.652227 File-URL: http://hdl.handle.net/10.1080/00207721.2011.652227 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:6:p:1052-1060 Template-Type: ReDIF-Article 1.0 Author-Name: Miaomiao Yu Author-X-Name-First: Miaomiao Author-X-Name-Last: Yu Author-Name: Yinghui Tang Author-X-Name-First: Yinghui Author-X-Name-Last: Tang Author-Name: Yonghong Fu Author-X-Name-First: Yonghong Author-X-Name-Last: Fu Title: A geometric process model for /(/)/1/ queue with new service machine procurement lead time Abstract: In this article, we consider a geometric process model for M/PH(M/PH)/1/K queue with new service machine procurement lead time. A maintenance policy (N − 1, N) based on the number of failures of the service machine is introduced into the system. Assuming that a failed service machine after repair will not be ‘as good as new’, and the spare service machine for replacement is only available by an order. More specifically, we suppose that the procurement lead time for delivering the spare service machine follows a phase-type (PH) distribution. Under such assumptions, we apply the matrix-analytic method to develop the steady state probabilities of the system, and then we obtain some system performance measures. Finally, employing an important Lemma, the explicit expression of the long-run average cost rate for the service machine is derived, and the direct search method is also implemented to determine the optimal value of N for minimising the average cost rate. Journal: International Journal of Systems Science Pages: 1061-1075 Issue: 6 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.652228 File-URL: http://hdl.handle.net/10.1080/00207721.2011.652228 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:6:p:1061-1075 Template-Type: ReDIF-Article 1.0 Author-Name: Tai-Fang Li Author-X-Name-First: Tai-Fang Author-X-Name-Last: Li Author-Name: Georgi Dimirovski Author-X-Name-First: Georgi Author-X-Name-Last: Dimirovski Author-Name: Yanyan Liu Author-X-Name-First: Yanyan Author-X-Name-Last: Liu Author-Name: Jun Zhao Author-X-Name-First: Jun Author-X-Name-Last: Zhao Title: Improved stability of a class of switched neutral systems via Lyapunov–Krasovskii functionals and an average dwell-time scheme Abstract: This article is concerned with the stability analysis for a class of switched neutral systems with mixed time-varying delays. The upper bound of derivative of the discrete time-varying delay is not restricted to one. A delay-dependent criterion of exponential stability under switching signals with an average dwell time is developed by employing free weighting matrices. The criterion is given in the form of linear matrix inequality. A state decay estimation for the switched system is explicitly given by considering the individual rate of decay of state for each subsystem. Two simulation examples are given to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1076-1088 Issue: 6 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.652229 File-URL: http://hdl.handle.net/10.1080/00207721.2011.652229 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:6:p:1076-1088 Template-Type: ReDIF-Article 1.0 Author-Name: Jinxing Lin Author-X-Name-First: Jinxing Author-X-Name-Last: Lin Author-Name: Shumin Fei Author-X-Name-First: Shumin Author-X-Name-Last: Fei Author-Name: Zhifeng Gao Author-X-Name-First: Zhifeng Author-X-Name-Last: Gao Title: Control discrete-time switched singular systems with state delays under asynchronous switching Abstract: This article is concerned with the problem of state feedback control for a class of discrete-time switched singular systems with time-varying state delays under asynchronous switching. The asynchronous switching considered here means that the switching instants of the candidate controllers lag behind those of the system modes. The concept of mismatched control rate is introduced. By using the multiple Lyapunov function approach and the average dwell time technique, a sufficient condition for the existence a stabilising switching law is first derived to guarantee the regularity, causality and exponential stability of the closed-loop system in the presence of asynchronous switching. The stabilising switching law is characterised by a upper bound on the mismatched control rate and a lower bound on the average dwell time. Then, the corresponding solvability condition for a set of mode-dependent state feedback controllers is established by using the linear matrix inequality (LMI) technique. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1089-1101 Issue: 6 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.652230 File-URL: http://hdl.handle.net/10.1080/00207721.2011.652230 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:6:p:1089-1101 Template-Type: ReDIF-Article 1.0 Author-Name: Huimin Wang Author-X-Name-First: Huimin Author-X-Name-Last: Wang Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Dynamic output feedback control for affine fuzzy systems Abstract: This article investigates the problem of designing H∞ dynamic output feedback controllers for nonlinear systems, which are described by affine fuzzy models. The system outputs have been chosen as premise variables, which can guarantee that the plant and the controller always switch to the same region. By using a piecewise Lyapunov function and adding slack matrix variables, a piecewise-affine dynamic output feedback controller design method is obtained in the formulation of linear matrix inequalities (LMIs), which can be efficiently solved numerically. In contrast to the existing work, the proposed approach needs less LMI constraints and leads to less conservatism. Finally, numerical examples illustrate the effectiveness of the new result. Journal: International Journal of Systems Science Pages: 1102-1111 Issue: 6 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.652231 File-URL: http://hdl.handle.net/10.1080/00207721.2011.652231 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:6:p:1102-1111 Template-Type: ReDIF-Article 1.0 Author-Name: Chun-Pi Lin Author-X-Name-First: Chun-Pi Author-X-Name-Last: Lin Author-Name: I-Kong Fong Author-X-Name-First: I-Kong Author-X-Name-Last: Fong Title: Exponential stability analysis of linear systems with multiple successive delay components Abstract: A general class of linear systems with multiple successive delay components is considered in this article. The delays are assumed to vary in intervals, and delay-dependent exponential stability conditions are derived in terms of linear matrix inequalities. To reduce conservativeness, a new Lyapunov–Krasovskii functional is designed to contain more complete state information, so that a derivation procedure with time-varying delays treated as uncertain parameters can be adopted. Usage of slack variables and inequalities are refrained as much as possible when bounds on the Lyapunov derivative are sought. The stability criteria are tested by two popular numerical examples, with less conservative results obtained in all the checked cases. Besides, a practical application of the derived conditions is illustrated. Journal: International Journal of Systems Science Pages: 1112-1125 Issue: 6 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.652232 File-URL: http://hdl.handle.net/10.1080/00207721.2011.652232 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:6:p:1112-1125 Template-Type: ReDIF-Article 1.0 Author-Name: Igor Boiko Author-X-Name-First: Igor Author-X-Name-Last: Boiko Title: Chattering in sliding mode control systems with boundary layer approximation of discontinuous control Abstract: It has been a widely accepted notion that approximation of discontinuous control by certain continuous function in a boundary layer results in chattering elimination in sliding mode control systems. It is shown through three different types of analysis that in the presence of parasitic dynamics, this approach to chattering elimination would work only if the slope of the continuous nonlinear function within the boundary layer is low enough, which may result in the deterioration of performance of the system. A few examples are provided. An approach to robust stability of linear systems from the consideration of the saturating control is proposed. Journal: International Journal of Systems Science Pages: 1126-1133 Issue: 6 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.652233 File-URL: http://hdl.handle.net/10.1080/00207721.2011.652233 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:6:p:1126-1133 Template-Type: ReDIF-Article 1.0 Author-Name: Whan-Seon Kim Author-X-Name-First: Whan-Seon Author-X-Name-Last: Kim Title: A supply chain contract with flexibility as a risk-sharing mechanism for demand forecasting Abstract: Demand forecasting is one of the main causes of the bullwhip effect in a supply chain. As a countermeasure for demand uncertainty as well as a risk-sharing mechanism for demand forecasting in a supply chain, this article studies a bilateral contract with order quantity flexibility. Under the contract, the buyer places orders in advance for the predetermined horizons and makes minimum purchase commitments. The supplier, in return, provides the buyer with the flexibility to adjust the order quantities later, according to the most updated demand information. To conduct comparative simulations, four-echelon supply chain models, that employ the contracts and different forecasting techniques under dynamic market demands, are developed. The simulation outcomes show that demand fluctuation can be effectively absorbed by the contract scheme, which enables better inventory management and customer service. Furthermore, it has been verified that the contract scheme under study plays a role as an effective coordination mechanism in a decentralised supply chain. Journal: International Journal of Systems Science Pages: 1134-1149 Issue: 6 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.653592 File-URL: http://hdl.handle.net/10.1080/00207721.2011.653592 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:6:p:1134-1149 Template-Type: ReDIF-Article 1.0 Author-Name: Yue Long Author-X-Name-First: Yue Author-X-Name-Last: Long Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Fault detection for networked control systems subject to quantisation and packet dropout Abstract: This article addresses the stochastic fault detection (SFD) problem in finite-frequency domain for a class of networked control systems (NCSs) with respect to signal quantisation and data packet dropout. Considering a logarithmic quantiser and Markovian packet dropout, the NCS is modelled as a Markov jump linear system (MJLS) with quantisation error. Further, a new definition of finite-frequency stochastic H− index is given, which gives a measurement of sensitivity. Subsequently, sufficient conditions are derived to guarantee that the MJLS can achieve such a performance. By virtue of the obtained conditions, the fault detection filters (FDFs) are designed in finite-frequency domain, which are valid in characterising the disturbance attenuation performance and finite-frequency fault sensitivity performance. Finally, a simulation example is given to illustrate the method and its effectiveness. Journal: International Journal of Systems Science Pages: 1150-1159 Issue: 6 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.658882 File-URL: http://hdl.handle.net/10.1080/00207721.2012.658882 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:6:p:1150-1159 Template-Type: ReDIF-Article 1.0 Author-Name: Jian-ning Li Author-X-Name-First: Jian-ning Author-X-Name-Last: Li Author-Name: Hong-ye Su Author-X-Name-First: Hong-ye Author-X-Name-Last: Su Author-Name: Zheng-guang Wu Author-X-Name-First: Zheng-guang Author-X-Name-Last: Wu Author-Name: Jian Chu Author-X-Name-First: Jian Author-X-Name-Last: Chu Title: Modelling and control of Zigbee-based wireless networked control system with both network-induced delay and packet dropout Abstract: A new stochastic switched linear model is established to describe the Zigbee-based wireless networked control system (WNCS) with both network-induced delay and packet dropout. The network-induced delay can be less or longer than one sampling period. A sufficient condition is presented for the exponentially mean square stability of the closed-loop WNCS, and corresponding state feedback controller is designed by using the augmenting technique and multi-Lyapunov approach. Then, combined with carrier sense multiple access with collision avoidance (CSMA-CA) algorithm, a method is given to choose proper parameter values. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1160-1172 Issue: 6 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.658883 File-URL: http://hdl.handle.net/10.1080/00207721.2012.658883 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:6:p:1160-1172 Template-Type: ReDIF-Article 1.0 Author-Name: K. Maleknejad Author-X-Name-First: K. Author-X-Name-Last: Maleknejad Author-Name: M. Nouri Author-X-Name-First: M. Author-X-Name-Last: Nouri Title: A direct method to solve integral and integro-differential equations of convolution type by using improved operational matrix Abstract: In this article, we use improved operational matrix of block pulse functions on interval [0, 1) to solve Volterra integral and integro-differential equations of convolution type without solving any system and projection method. We first obtain Laplace transform of the problem and then we find numerical inversion of Laplace transform by improved operational matrix of integration. Numerical examples show that the approximate solutions have a good degree of accuracy. Journal: International Journal of Systems Science Pages: 1173-1180 Issue: 6 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659290 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659290 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:6:p:1173-1180 Template-Type: ReDIF-Article 1.0 Author-Name: Lina Rong Author-X-Name-First: Lina Author-X-Name-Last: Rong Author-Name: Shengyuan Xu Author-X-Name-First: Shengyuan Author-X-Name-Last: Xu Author-Name: Baoyong Zhang Author-X-Name-First: Baoyong Author-X-Name-Last: Zhang Author-Name: Yun Zou Author-X-Name-First: Yun Author-X-Name-Last: Zou Title: Accelerating average consensus by using the information of second-order neighbours with communication delays Abstract: This article investigates the problem of accelerating average consensus in undirected and connected networks. The protocol using the information of second-order neighbours with communication delays is proposed and the delay effects on stability and the convergence speed are analysed, respectively, under an assumption about the network topologies. It is proved that, for appropriate communication delays, networks reach average consensus faster under the proposed protocol than the standard protocol using only the information of first-order neighbours. Finally, a simulation example is presented to illustrate the proposed results. Journal: International Journal of Systems Science Pages: 1181-1188 Issue: 6 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659691 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659691 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:6:p:1181-1188 Template-Type: ReDIF-Article 1.0 Author-Name: Quan Quan Author-X-Name-First: Quan Author-X-Name-Last: Quan Author-Name: Hai Lin Author-X-Name-First: Hai Author-X-Name-Last: Lin Author-Name: Kai-Yuan Cai Author-X-Name-First: Kai-Yuan Author-X-Name-Last: Cai Title: Output feedback tracking control by additive state decomposition for a class of uncertain systems Abstract: Besides parametric uncertainties and disturbances, unmodelled dynamics and time delay at the input are often present in practical systems, and cannot always be ignored. This paper aims to solve the problem of output feedback tracking control for a class of non-linear uncertain systems subject to unmodelled high-frequency gains and time delay in the input. By additive state decomposition, the uncertain system is transformed to an uncertainty-free system, in which the uncertainties, disturbances and effects of unmodelled dynamics along with time delay are lumped into a new disturbance at the output. Subsequently, additive state decomposition is used to decompose the transformed system to simplify the tracking controller design. The proposed control scheme is applied to three benchmark examples to demonstrate its effectiveness. Journal: International Journal of Systems Science Pages: 1799-1813 Issue: 9 Volume: 45 Year: 2014 Month: 9 X-DOI: 10.1080/00207721.2012.757379 File-URL: http://hdl.handle.net/10.1080/00207721.2012.757379 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:9:p:1799-1813 Template-Type: ReDIF-Article 1.0 Author-Name: Endra Joelianto Author-X-Name-First: Endra Author-X-Name-Last: Joelianto Title: Finite horizon optimal hybrid reference control for improving transient response of feedback control systems Abstract: Hybrid reference control (HRC) has been known to improve transient response of a stabilised closed-loop continuous tracking system. In this paper, an optimal HRC strategy, which minimises a finite horizon quadratic performance index in the control and state error, is investigated based on the assumption that the full plant states are available for measurement. A special case of constrained optimisation problems leads to the optimal deadbeat control strategy. Conditions for asymptotic stability to default reference signal are also derived. Journal: International Journal of Systems Science Pages: 1814-1829 Issue: 9 Volume: 45 Year: 2014 Month: 9 X-DOI: 10.1080/00207721.2012.757380 File-URL: http://hdl.handle.net/10.1080/00207721.2012.757380 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:9:p:1814-1829 Template-Type: ReDIF-Article 1.0 Author-Name: Chih-Peng Huang Author-X-Name-First: Chih-Peng Author-X-Name-Last: Huang Title: Stability analysis and controller synthesis for discrete uncertain singular fuzzy systems with distinct difference matrices in the rules Abstract: This paper mainly studies an extended discrete singular fuzzy model incorporating the multiple difference matrices in the rules and discusses its stability and design issues. By embracing additional algebraic constraint, traditional discrete Takagi-Sugeno (T-S) fuzzy model can be extended to a generalised discrete singular Takagi-Sugeno (GDST-S) model with individual difference matrices Ei in the locally singular models, where it can describe a larger class of physical or non-linear systems. Based on the linear matrix inequality (LMI) approach, we focus on deriving some explicit stability and design criteria expressed by the LMIs for the regarded system. Thus, the stability verification and controller synthesis can be performed by the current LMI tools. Finally, some illustrative examples are given to illustrate the effectiveness and validity of the proposed approach. Journal: International Journal of Systems Science Pages: 1830-1843 Issue: 9 Volume: 45 Year: 2014 Month: 9 X-DOI: 10.1080/00207721.2012.757382 File-URL: http://hdl.handle.net/10.1080/00207721.2012.757382 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:9:p:1830-1843 Template-Type: ReDIF-Article 1.0 Author-Name: Brojeswar Pal Author-X-Name-First: Brojeswar Author-X-Name-Last: Pal Author-Name: Shib Sankar Sana Author-X-Name-First: Shib Sankar Author-X-Name-Last: Sana Author-Name: Kripasindhu Chaudhuri Author-X-Name-First: Kripasindhu Author-X-Name-Last: Chaudhuri Title: Three stage trade credit policy in a three-layer supply chain–a production-inventory model Abstract: The main purpose of this paper is to investigate the optimal replenishment lot size of supplier and optimal production rate of manufacturer under three levels of trade credit policy for supplier–manufacturer–retailer supply chain. The supplier provides a fixed credit period to settle the accounts to the manufacturer, while the manufacturer gives a fixed credit period to settle the account to the retailer and the retailer, in turn, also offers a credit period to each of its customers to settle the accounts. We assume that the supplier supplies the raw material to the manufacturer and sends back the defective raw materials to the outside supplier after completion of inspection at one lot with a sales price. The system always produces good items in the model. Also, we consider the idle times of supplier and manufacturer. Finally, numerical examples are provided to illustrate the behaviour and application of the model with graphical simulation. Journal: International Journal of Systems Science Pages: 1844-1868 Issue: 9 Volume: 45 Year: 2014 Month: 9 X-DOI: 10.1080/00207721.2012.757383 File-URL: http://hdl.handle.net/10.1080/00207721.2012.757383 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:9:p:1844-1868 Template-Type: ReDIF-Article 1.0 Author-Name: Yulian Jiang Author-X-Name-First: Yulian Author-X-Name-Last: Jiang Author-Name: Jianchang Liu Author-X-Name-First: Jianchang Author-X-Name-Last: Liu Author-Name: Shubin Tan Author-X-Name-First: Shubin Author-X-Name-Last: Tan Author-Name: Pingsong Ming Author-X-Name-First: Pingsong Author-X-Name-Last: Ming Title: Robust consensus algorithm for multi-agent systems with exogenous disturbances under convergence conditions Abstract: In this paper, a robust consensus algorithm is developed and sufficient conditions for convergence to consensus are proposed for a multi-agent system (MAS) with exogenous disturbances subject to partial information. By utilizing H∞ robust control, differential game theory and a design-based approach, the consensus problem of the MAS with exogenous bounded interference is resolved and the disturbances are restrained, simultaneously. Attention is focused on designing an H∞ robust controller (the robust consensus algorithm) based on minimisation of our proposed rational and individual cost functions according to goals of the MAS. Furthermore, sufficient conditions for convergence of the robust consensus algorithm are given. An example is employed to demonstrate that our results are effective and more capable to restrain exogenous disturbances than the existing literature. Journal: International Journal of Systems Science Pages: 1869-1879 Issue: 9 Volume: 45 Year: 2014 Month: 9 X-DOI: 10.1080/00207721.2012.757384 File-URL: http://hdl.handle.net/10.1080/00207721.2012.757384 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:9:p:1869-1879 Template-Type: ReDIF-Article 1.0 Author-Name: Manuel Jiménez-Lizárraga Author-X-Name-First: Manuel Author-X-Name-Last: Jiménez-Lizárraga Author-Name: Michael V. Basin Author-X-Name-First: Michael V. Author-X-Name-Last: Basin Author-Name: Victoria Celeste Rodríguez Carreón Author-X-Name-First: Victoria Celeste Author-X-Name-Last: Rodríguez Carreón Author-Name: Pablo Cesar Rodríguez Ramírez Author-X-Name-First: Pablo Cesar Author-X-Name-Last: Rodríguez Ramírez Title: Output mini-max control for polynomial systems: analysis and applications Abstract: This paper presents a solution to a robust optimal regulation problem for a nonlinear polynomial system affected by parametric and matched uncertainties, which is based only on partial state information. The parameters describing the dynamics of the nonlinear polynomial plant depend on a vector of unknown parameters, which belongs to a finite parametric set, and the application of a certain control input is associated with the worst or least favourable value of the unknown parameter. A high-order sliding mode state reconstructor is designed for the nonlinear plant in such a way that the previously designed control can be applied for a system with incomplete information. Additionally, the matched uncertainty is also compensated by means of the same output-based regulator. The obtained algorithm is applied to control an uncertain nonlinear inductor circuit of the third order and a mechanical pendulum of the third order, successfully verifying the effectiveness of the developed approach. Journal: International Journal of Systems Science Pages: 1880-1891 Issue: 9 Volume: 45 Year: 2014 Month: 9 X-DOI: 10.1080/00207721.2012.757385 File-URL: http://hdl.handle.net/10.1080/00207721.2012.757385 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:9:p:1880-1891 Template-Type: ReDIF-Article 1.0 Author-Name: Guoguang Wen Author-X-Name-First: Guoguang Author-X-Name-Last: Wen Author-Name: Zhaoxia Peng Author-X-Name-First: Zhaoxia Author-X-Name-Last: Peng Author-Name: Ahmed Rahmani Author-X-Name-First: Ahmed Author-X-Name-Last: Rahmani Author-Name: Yongguang Yu Author-X-Name-First: Yongguang Author-X-Name-Last: Yu Title: Distributed leader-following consensus for second-order multi-agent systems with nonlinear inherent dynamics Abstract: In this paper, the leader-following consensus problem for second-order multi-agent systems with nonlinear inherent dynamics is investigated. Two distributed control protocols are proposed under fixed undirected communication topology and fixed directed communication topology. Some sufficient conditions are obtained for the states of followers converging to the state of virtual leader globally exponentially. Rigorous proofs are given by using graph theory, matrix theory and Lyapunov theory. Simulations are also given to verify the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 1892-1901 Issue: 9 Volume: 45 Year: 2014 Month: 9 X-DOI: 10.1080/00207721.2012.757386 File-URL: http://hdl.handle.net/10.1080/00207721.2012.757386 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:9:p:1892-1901 Template-Type: ReDIF-Article 1.0 Author-Name: Xuhui Bu Author-X-Name-First: Xuhui Author-X-Name-Last: Bu Author-Name: Zhongsheng Hou Author-X-Name-First: Zhongsheng Author-X-Name-Last: Hou Author-Name: Fashan Yu Author-X-Name-First: Fashan Author-X-Name-Last: Yu Author-Name: Fuzhong Wang Author-X-Name-First: Fuzhong Author-X-Name-Last: Wang Title: iterative learning controller design for a class of discrete-time systems with data dropouts Abstract: In this paper, the issue of H∞ iterative learning controller design is considered for a class of discrete-time systems with data dropouts. With the super-vector formulation of iterative learning control (ILC), such a system can be formulated as a linear discrete-time stochastic system in the iteration domain, and then a sufficient condition guaranteeing both stability of the ILC process and the desired H∞ performance in the iteration domain is presented. The condition can be derived in terms of linear matrix inequalities that can be solved by using existing numerical techniques. A numerical simulation example is also included to validate the theoretical results. Journal: International Journal of Systems Science Pages: 1902-1912 Issue: 9 Volume: 45 Year: 2014 Month: 9 X-DOI: 10.1080/00207721.2012.757815 File-URL: http://hdl.handle.net/10.1080/00207721.2012.757815 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:9:p:1902-1912 Template-Type: ReDIF-Article 1.0 Author-Name: R. Havangi Author-X-Name-First: R. Author-X-Name-Last: Havangi Author-Name: M.A. Nekoui Author-X-Name-First: M.A. Author-X-Name-Last: Nekoui Author-Name: M. Teshnehlab Author-X-Name-First: M. Author-X-Name-Last: Teshnehlab Author-Name: H.D. Taghirad Author-X-Name-First: H.D. Author-X-Name-Last: Taghirad Title: A SLAM based on auxiliary marginalised particle filter and differential evolution Abstract: FastSLAM is a framework for simultaneous localisation and mapping (SLAM) using a Rao-Blackwellised particle filter. In FastSLAM, particle filter is used for the robot pose (position and orientation) estimation, and parametric filter (i.e. EKF and UKF) is used for the feature location's estimation. However, in the long term, FastSLAM is an inconsistent algorithm. In this paper, a new approach to SLAM based on hybrid auxiliary marginalised particle filter and differential evolution (DE) is proposed. In the proposed algorithm, the robot pose is estimated based on auxiliary marginal particle filter that operates directly on the marginal distribution, and hence avoids performing importance sampling on a space of growing dimension. In addition, static map is considered as a set of parameters that are learned using DE. Compared to other algorithms, the proposed algorithm can improve consistency for longer time periods and also, improve the estimation accuracy. Simulations and experimental results indicate that the proposed algorithm is effective. Journal: International Journal of Systems Science Pages: 1913-1926 Issue: 9 Volume: 45 Year: 2014 Month: 9 X-DOI: 10.1080/00207721.2012.759299 File-URL: http://hdl.handle.net/10.1080/00207721.2012.759299 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:9:p:1913-1926 Template-Type: ReDIF-Article 1.0 Author-Name: Shen Cong Author-X-Name-First: Shen Author-X-Name-Last: Cong Title: New stability criteria of linear singular systems with time-varying delay Abstract: Most of the existing results on the stability problem of delayed singular systems only pertain to the case of constant delay. This is due to the fact that time-varying delay makes it hardly possible to explicitly express the fast variables. In this paper, aiming at dealing with the case of time-varying delay, we create a way to prove the stability by using a perturbation approach. Rather, we first get the decay rate for slow variables by using Lyapunov functional approach and, furthermore, guarantee that the fast variables fall into decay by characterising their effect on the derived decay rate. Also, we present a convexity technique in computing the constructed Lyapunov functional which contributes to the elimination of the possible conservatism caused by the varying rate of delay. Finally, we provide two numerical examples to demonstrate the effectiveness of the method. Journal: International Journal of Systems Science Pages: 1927-1935 Issue: 9 Volume: 45 Year: 2014 Month: 9 X-DOI: 10.1080/00207721.2012.759300 File-URL: http://hdl.handle.net/10.1080/00207721.2012.759300 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:9:p:1927-1935 Template-Type: ReDIF-Article 1.0 Author-Name: Zeinab Sazvar Author-X-Name-First: Zeinab Author-X-Name-Last: Sazvar Author-Name: Mohammad Reza Akbari Jokar Author-X-Name-First: Mohammad Reza Author-X-Name-Last: Akbari Jokar Author-Name: Armand Baboli Author-X-Name-First: Armand Author-X-Name-Last: Baboli Title: A new order splitting model with stochastic lead times for deterioration items Abstract: In unreliable supply environments, the strategy of pooling lead time risks by splitting replenishment orders among multiple suppliers simultaneously is an attractive sourcing policy that has captured the attention of academic researchers and corporate managers alike. While various assumptions are considered in the models developed, researchers tend to overlook an important inventory category in order splitting models: deteriorating items. In this paper, we study an order splitting policy for a retailer that sells a deteriorating product. The inventory system is modelled as a continuous review system (s, Q) under stochastic lead time. Demand rate per unit time is assumed to be constant over an infinite planning horizon and shortages are backordered completely. We develop two inventory models. In the first model, it is assumed that all the requirements are supplied by only one source, whereas in the second, two suppliers are available. We use sensitivity analysis to determine the situations in which each sourcing policy is the most economic. We then study a real case from the European pharmaceutical industry to demonstrate the applicability and effectiveness of the proposed models. Finally, more promising directions are suggested for future research. Journal: International Journal of Systems Science Pages: 1936-1954 Issue: 9 Volume: 45 Year: 2014 Month: 9 X-DOI: 10.1080/00207721.2012.759301 File-URL: http://hdl.handle.net/10.1080/00207721.2012.759301 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:9:p:1936-1954 Template-Type: ReDIF-Article 1.0 Author-Name: Hitoshi Katayama Author-X-Name-First: Hitoshi Author-X-Name-Last: Katayama Title: Design of output feedback consensus controllers for nonlinear sampled-data multi-agent systems of strict-feedback form Abstract: Design of reduced-order observer-based output feedback consensus controllers for nonlinear sampled-data multi-agent systems of strict-feedback form is considered based on nonlinear sampled-data control and consensus control theories. As a practical application of the proposed design method, output feedback consensus control for sampled-data fully actuated ships is also discussed. Journal: International Journal of Systems Science Pages: 1955-1962 Issue: 9 Volume: 45 Year: 2014 Month: 9 X-DOI: 10.1080/00207721.2012.759302 File-URL: http://hdl.handle.net/10.1080/00207721.2012.759302 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:9:p:1955-1962 Template-Type: ReDIF-Article 1.0 Author-Name: Yeguo Sun Author-X-Name-First: Yeguo Author-X-Name-Last: Sun Title: Finite-time boundedness and stabilisation of networked control systems with bounded packet dropout Abstract: In this paper, the finite-time boundedness and stabilisation problems of a class of networked control systems (NCSs) with bounded packet dropout are investigated. The main results provided in the paper are sufficient conditions for finite-time boundedness and stability via state feedback. An iterative approach is proposed to model NCSs with bounded packet dropout as jump linear systems (JLSs). Based on Lyapunov stability theory and JLSs theory, the sufficient conditions for finite-time boundedness and stabilisation of the underlying systems are derived via linear matrix inequalities (LMIs) formulation. Moreover, both sensor-to-controller and controller-to-actuator packet dropouts are considered simultaneously. Lastly, an illustrative example is given to demonstrate the effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 1963-1969 Issue: 9 Volume: 45 Year: 2014 Month: 9 X-DOI: 10.1080/00207721.2012.759632 File-URL: http://hdl.handle.net/10.1080/00207721.2012.759632 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:9:p:1963-1969 Template-Type: ReDIF-Article 1.0 Author-Name: E.J. Vanderperre Author-X-Name-First: E.J. Author-X-Name-Last: Vanderperre Author-Name: S.S. Makhanov Author-X-Name-First: S.S. Author-X-Name-Last: Makhanov Title: Reliability analysis of a repairable duplex system Abstract: We analyse the survival time of a repairable duplex system characterised by cold standby and by a pre-emptive priority rule. We allow general probability distributions for failure and repair. Moreover, an important realistic feature of the system is the general assumption that the non-priority unit has a memory. This combination of features has not been analysed in the previous literature. Our (new) methodology is based on a concatenation of a Cauchy-type integral representation of the modified Heaviside unit-step function and a two-sided stochastic inequality. Finally, we introduce a security interval related to a security level and a suitable risk-criterion based on the survival function of the system. As a practical application, we analyse some particular cases of the survival function jointly with the security interval corresponding to a security level of 90. Journal: International Journal of Systems Science Pages: 1970-1977 Issue: 9 Volume: 45 Year: 2014 Month: 9 X-DOI: 10.1080/00207721.2012.759671 File-URL: http://hdl.handle.net/10.1080/00207721.2012.759671 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:9:p:1970-1977 Template-Type: ReDIF-Article 1.0 Author-Name: Xiao-Long Wang Author-X-Name-First: Xiao-Long Author-X-Name-Last: Wang Author-Name: Yao-Lin Jiang Author-X-Name-First: Yao-Lin Author-X-Name-Last: Jiang Title: On model reduction of K-power bilinear systems Abstract: As a special type of bilinear systems, K-power bilinear systems have a special coupled structure that should be preserved in the process of model reduction. We investigate moment matching methods for K-power systems and extract structure-preserved reduced models from the perspective of bilinear systems and coupled systems. The optimal H2 reduction is also considered for K-power systems. We prove that there exist reduced models satisfying the optimality conditions and meanwhile preserving the coupled structure of the original models. Furthermore, such reduced models can be produced by an iterative algorithm, or alternatively by a subsystem-iteration algorithm with less computational effort and faster convergence rate. Simulation results show that the proposed iterative algorithms possess superior performance in contrast to moment matching methods. Journal: International Journal of Systems Science Pages: 1978-1990 Issue: 9 Volume: 45 Year: 2014 Month: 9 X-DOI: 10.1080/00207721.2013.763300 File-URL: http://hdl.handle.net/10.1080/00207721.2013.763300 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:9:p:1978-1990 Template-Type: ReDIF-Article 1.0 Author-Name: Lin Tie Author-X-Name-First: Lin Author-X-Name-Last: Tie Author-Name: Kai-Yuan Cai Author-X-Name-First: Kai-Yuan Author-X-Name-Last: Cai Author-Name: Yan Lin Author-X-Name-First: Yan Author-X-Name-Last: Lin Title: On small-controllability of a class of Hammerstein-nonlinear systems – an implicit function approach Abstract: In this paper, an implicit function approach is applied to controllability of a class of discrete-time Hammerstein-nonlinear systems. Based on this approach, the systems are shown to own a strong property, namely, small-controllability. As an immediate application, the obtained small-controllability results are generalised to the continuous-time Hammerstein-nonlinear systems and some continuous-time versions of small-controllability are presented. Journal: International Journal of Systems Science Pages: 1991-1998 Issue: 9 Volume: 45 Year: 2014 Month: 9 X-DOI: 10.1080/00207721.2013.763302 File-URL: http://hdl.handle.net/10.1080/00207721.2013.763302 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:9:p:1991-1998 Template-Type: ReDIF-Article 1.0 Author-Name: Xiangmin Guan Author-X-Name-First: Xiangmin Author-X-Name-Last: Guan Author-Name: Xuejun Zhang Author-X-Name-First: Xuejun Author-X-Name-Last: Zhang Author-Name: Jian Wei Author-X-Name-First: Jian Author-X-Name-Last: Wei Author-Name: Inseok Hwang Author-X-Name-First: Inseok Author-X-Name-Last: Hwang Author-Name: Yanbo Zhu Author-X-Name-First: Yanbo Author-X-Name-Last: Zhu Author-Name: Kaiquan Cai Author-X-Name-First: Kaiquan Author-X-Name-Last: Cai Title: A strategic conflict avoidance approach based on cooperative coevolutionary with the dynamic grouping strategy Abstract: Conflict avoidance plays a crucial role in guaranteeing the safety and efficiency of the air traffic management system. Recently, the strategic conflict avoidance (SCA) problem has attracted more and more attention. Taking into consideration the large-scale flight planning in a global view, SCA can be formulated as a large-scale combinatorial optimisation problem with complex constraints and tight couplings between variables, which is difficult to solve. In this paper, an SCA approach based on the cooperative coevolution algorithm combined with a new decomposition strategy is proposed to prevent the premature convergence and improve the search capability. The flights are divided into several groups using the new grouping strategy, referred to as the dynamic grouping strategy, which takes full advantage of the prior knowledge of the problem to better deal with the tight couplings among flights through maximising the chance of putting flights with conflicts in the same group, compared with existing grouping strategies. Then, a tuned genetic algorithm (GA) is applied to different groups simultaneously to resolve conflicts. Finally, the high-quality solutions are obtained through cooperation between different groups based on cooperative coevolution. Simulation results using real flight data from the China air route network and daily flight plans demonstrate that the proposed algorithm can reduce the number of conflicts and the average delay effectively, outperforming existing approaches including GAs, the memetic algorithm, and the cooperative coevolution algorithms with different well-known grouping strategies. Journal: International Journal of Systems Science Pages: 1995-2008 Issue: 9 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.966282 File-URL: http://hdl.handle.net/10.1080/00207721.2014.966282 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:1995-2008 Template-Type: ReDIF-Article 1.0 Author-Name: S. Elmadssia Author-X-Name-First: S. Author-X-Name-Last: Elmadssia Author-Name: K. Saadaoui Author-X-Name-First: K. Author-X-Name-Last: Saadaoui Author-Name: M. Benrejeb Author-X-Name-First: M. Author-X-Name-Last: Benrejeb Title: New stability conditions for nonlinear time varying delay systems Abstract: In this paper, new practical stability conditions for a class of nonlinear time varying delay systems are proposed. The study is based on the use of a specific state space description, known as the Benrejeb characteristic arrow form matrix, and aggregation techniques to obtain delay-dependent stability conditions. Application of this method to delayed Lurie–Postnikov nonlinear systems is given. Illustrative examples are presented to show the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 2009-2021 Issue: 9 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.968653 File-URL: http://hdl.handle.net/10.1080/00207721.2014.968653 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2009-2021 Template-Type: ReDIF-Article 1.0 Author-Name: Musen Xue Author-X-Name-First: Musen Author-X-Name-Last: Xue Author-Name: Wansheng Tang Author-X-Name-First: Wansheng Author-X-Name-Last: Tang Author-Name: Jianxiong Zhang Author-X-Name-First: Jianxiong Author-X-Name-Last: Zhang Title: Optimal dynamic pricing for deteriorating items with reference-price effects Abstract: In this paper, a dynamic pricing problem for deteriorating items with the consumers’ reference-price effect is studied. An optimal control model is established to maximise the total profit, where the demand not only depends on the current price, but also is sensitive to the historical price. The continuous-time dynamic optimal pricing strategy with reference-price effect is obtained through solving the optimal control model on the basis of Pontryagin's maximum principle. In addition, numerical simulations and sensitivity analysis are carried out. Finally, some managerial suggestions that firm may adopt to formulate its pricing policy are proposed. Journal: International Journal of Systems Science Pages: 2022-2031 Issue: 9 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.970598 File-URL: http://hdl.handle.net/10.1080/00207721.2014.970598 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2022-2031 Template-Type: ReDIF-Article 1.0 Author-Name: Bi Zhang Author-X-Name-First: Bi Author-X-Name-Last: Zhang Author-Name: Hyokchan Hong Author-X-Name-First: Hyokchan Author-X-Name-Last: Hong Author-Name: Zhizhong Mao Author-X-Name-First: Zhizhong Author-X-Name-Last: Mao Title: Adaptive control of Hammerstein–Wiener nonlinear systems Abstract: The Hammerstein–Wiener model is a block-oriented model, having a linear dynamic block sandwiched by two static nonlinear blocks. This note develops an adaptive controller for a special form of Hammerstein–Wiener nonlinear systems which are parameterized by the key-term separation principle. The adaptive control law and recursive parameter estimation are updated by the use of internal variable estimations. By modeling the errors due to the estimation of internal variables, we establish convergence and stability properties. Theoretical results show that parameter estimation convergence and closed-loop system stability can be guaranteed under sufficient condition. From a qualitative analysis of the sufficient condition, we introduce an adaptive weighted factor to improve the performance of the adaptive controller. Numerical examples are given to confirm the results in this paper. Journal: International Journal of Systems Science Pages: 2032-2047 Issue: 9 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.971089 File-URL: http://hdl.handle.net/10.1080/00207721.2014.971089 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2032-2047 Template-Type: ReDIF-Article 1.0 Author-Name: Jun Shen Author-X-Name-First: Jun Author-X-Name-Last: Shen Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Title: Containment control of multi-agent systems with unbounded communication delays Abstract: In this paper, we address the containment control problem for multi-agent systems under heterogeneous unbounded communication delays with emphasis on the convergence rate analysis. Different from most works on multi-agent systems, we resort to a viewpoint from the area of positive delay systems. We first cast the containment control problem into the stability analysis of an associated error system. In order to capture the convergence rate, we introduce a nondecreasing positive function whose reciprocal represents the decay rate of the associated error system. Under the assumption that each follower has access to at least one leader and some mild hypotheses on the communication delays, an explicit condition is given to characterise the decay rate of the associated error system in terms of linear programming. In addition, we provide several special cases when the communication delays are restricted by linear, sublinear and logarithmic growth rates, respectively. Finally, through numerical examples, it is shown that the convergence rate is dominated by the delays being the highest order infinitely large quantity. Journal: International Journal of Systems Science Pages: 2048-2057 Issue: 9 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.971092 File-URL: http://hdl.handle.net/10.1080/00207721.2014.971092 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2048-2057 Template-Type: ReDIF-Article 1.0 Author-Name: M.V. Basin Author-X-Name-First: M.V. Author-X-Name-Last: Basin Author-Name: M. Hernandez-Gonzalez Author-X-Name-First: M. Author-X-Name-Last: Hernandez-Gonzalez Title: Discrete-time filtering for nonlinear polynomial systems Abstract: This paper presents a suboptimal H∞$\mathscr {H}_\infty$ filtering problem solution for a class of discrete-time nonlinear polynomial systems over linear observations. The solution is obtained splitting the whole problem into finding a-priori and a-posteriori equations for state estimates and gain matrices. The closed-form filtering equations for the state estimate and gain matrix are obtained in case of a third-degree polynomial system. Numerical simulations are carried out to show effectiveness of the proposed filter. The obtained filter is compared to the extended Kalman-like H∞$\mathscr {H}_\infty$ filter. Journal: International Journal of Systems Science Pages: 2058-2066 Issue: 9 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.973466 File-URL: http://hdl.handle.net/10.1080/00207721.2014.973466 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2058-2066 Template-Type: ReDIF-Article 1.0 Author-Name: Yuan Yuan Author-X-Name-First: Yuan Author-X-Name-Last: Yuan Author-Name: Fuchun Sun Author-X-Name-First: Fuchun Author-X-Name-Last: Sun Author-Name: Huaping Liu Author-X-Name-First: Huaping Author-X-Name-Last: Liu Title: Resilient control of cyber-physical systems against intelligent attacker: a hierarchal stackelberg game approach Abstract: This paper is concerned with the resilient control under denial-of-service attack launched by the intelligent attacker. The resilient control system is modelled as a multi-stage hierarchical game with a corresponding hierarchy of decisions made at cyber and physical layer, respectively. Specifically, the interaction in the cyber layer between different security agents is modelled as a static infinite Stackelberg game, while in the underlying physical layer the full-information H∞ minimax control with package drops is modelled as a different Stackelberg game. Both games are solved sequentially, which is consistent with the actual situations. Finally, the proposed method is applied to the load frequency control of the power system, which demonstrates its effectiveness. Journal: International Journal of Systems Science Pages: 2067-2077 Issue: 9 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.973467 File-URL: http://hdl.handle.net/10.1080/00207721.2014.973467 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2067-2077 Template-Type: ReDIF-Article 1.0 Author-Name: Suping Cao Author-X-Name-First: Suping Author-X-Name-Last: Cao Author-Name: Fucai Qian Author-X-Name-First: Fucai Author-X-Name-Last: Qian Author-Name: Xiaomei Wang Author-X-Name-First: Xiaomei Author-X-Name-Last: Wang Title: Exact optimal solution for a class of dual control problems Abstract: This paper considers a discrete-time stochastic optimal control problem for which only measurement equation is partially observed with unknown constant parameters taking value in a finite set of stochastic systems. Because of the fact that the cost-to-go function at each stage contains variance and the non-separability of the variance is so complicated that the dynamic programming cannot be successfully applied, the optimal solution has not been found. In this paper, a new approach to the optimal solution is proposed by embedding the original non-separable problem into a separable auxiliary problem. The theoretical condition on which the optimal solution of the original problem can be attained from a set of solutions of the auxiliary problem is established. In addition, the optimality of the interchanging algorithm is proved and the analytical solution of the optimal control is also obtained. The performance of this controller is illustrated with a simple example. Journal: International Journal of Systems Science Pages: 2078-2087 Issue: 9 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.973469 File-URL: http://hdl.handle.net/10.1080/00207721.2014.973469 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2078-2087 Template-Type: ReDIF-Article 1.0 Author-Name: Zi-Jiang Yang Author-X-Name-First: Zi-Jiang Author-X-Name-Last: Yang Author-Name: Pan Qin Author-X-Name-First: Pan Author-X-Name-Last: Qin Title: Robust synchronisation tracking control of networked Euler–Lagrange systems using reference trajectory estimation based on virtual double-integrators Abstract: This paper considers the problem of distributed synchronisation tracking control of multiple Euler–Lagrange systems on a directed graph which contains a spanning tree with the leader node being the root. To design the high performance distributed controllers, a virtual double-integrator is introduced in each agent and is controlled by a virtual distributed linear high-gain synchronisation tracking controller, so that the position and velocity of each agent track those of the reference trajectory with arbitrarily short transient time and small ultimate tracking error. Then taking the double-integrator's position and velocity as the estimates of those of the reference trajectory, in each generalised coordinate of each Euler–Lagrange agent, a local controller with a disturbance observer and a sliding mode control term is designed, to suppress the mutual interactions among the agents and the modelling uncertainties. The boundedness of the overall signals and the synchronisation tracking control performance are analysed, and the conditions for guaranteed control performance are clarified. Simulation examples are provided to demonstrate the performance of the distributed controllers. Journal: International Journal of Systems Science Pages: 2088-2099 Issue: 9 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.973656 File-URL: http://hdl.handle.net/10.1080/00207721.2014.973656 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2088-2099 Template-Type: ReDIF-Article 1.0 Author-Name: Hao Chen Author-X-Name-First: Hao Author-X-Name-Last: Chen Author-Name: Yu Gong Author-X-Name-First: Yu Author-X-Name-Last: Gong Author-Name: Xia Hong Author-X-Name-First: Xia Author-X-Name-Last: Hong Title: A new adaptive multiple modelling approach for non-linear and non-stationary systems Abstract: This paper proposes a novel adaptive multiple modelling algorithm for non-linear and non-stationary systems. This simple modelling paradigm comprises K candidate sub-models which are all linear. With data available in an online fashion, the performance of all candidate sub-models are monitored based on the most recent data window, and M best sub-models are selected from the K candidates. The weight coefficients of the selected sub-model are adapted via the recursive least square (RLS) algorithm, while the coefficients of the remaining sub-models are unchanged. These M model predictions are then optimally combined to produce the multi-model output. We propose to minimise the mean square error based on a recent data window, and apply the sum to one constraint to the combination parameters, leading to a closed-form solution, so that maximal computational efficiency can be achieved. In addition, at each time step, the model prediction is chosen from either the resultant multiple model or the best sub-model, whichever is the best. Simulation results are given in comparison with some typical alternatives, including the linear RLS algorithm and a number of online non-linear approaches, in terms of modelling performance and time consumption. Journal: International Journal of Systems Science Pages: 2100-2110 Issue: 9 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.973926 File-URL: http://hdl.handle.net/10.1080/00207721.2014.973926 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2100-2110 Template-Type: ReDIF-Article 1.0 Author-Name: Xueyan Zhao Author-X-Name-First: Xueyan Author-X-Name-Last: Zhao Author-Name: Feiqi Deng Author-X-Name-First: Feiqi Author-X-Name-Last: Deng Title: Non-monotonicity of Lyapunov functions for functional differential equations with enlightenments for related research methods Abstract: In this paper, a particular property of Lyapunov functions for functional differential equations (FDEs) is developed, that is the direct dependence of the signs of the derivatives of the Lyapunov functions on the initial data. This property implies that the derivatives of the Lyapunov functions for FDEs cannot be guaranteed to be negative definite generally, and then makes the FDEs differ from the ordinary differential equations constitutionally. With this property, we give some enlightenments for the research methods for establishing stability theorems or criteria for FDEs, which may help us to form a common view about the choice of the investigation methods on the stability of FDEs. The conclusion is stated in both the deterministic and stochastic versions. Two illustrative examples are given to show and verify our conclusion through the paper. Journal: International Journal of Systems Science Pages: 2111-2118 Issue: 9 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.973927 File-URL: http://hdl.handle.net/10.1080/00207721.2014.973927 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2111-2118 Template-Type: ReDIF-Article 1.0 Author-Name: Hong-Wei Chen Author-X-Name-First: Hong-Wei Author-X-Name-Last: Chen Author-Name: Liang-Jie Sun Author-X-Name-First: Liang-Jie Author-X-Name-Last: Sun Author-Name: Yang Liu Author-X-Name-First: Yang Author-X-Name-Last: Liu Title: Partial stability and stabilisation of Boolean networks Abstract: In this paper, we investigate the stability of Boolean networks and the stabilisation of Boolean control networks with respect to part of the system's states. First, an algebraic expression of the Boolean (control) network is derived by the semi-tensor product of matrices. Then, some necessary and sufficient conditions for partial stability of Boolean networks are given. Finally, the stabilisation of Boolean control networks by a free control sequence and a state-feedback control is investigated and the respective necessary and sufficient conditions are obtained. Examples are provided to illustrate the efficiency of the obtained results. Journal: International Journal of Systems Science Pages: 2119-2127 Issue: 9 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.973928 File-URL: http://hdl.handle.net/10.1080/00207721.2014.973928 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2119-2127 Template-Type: ReDIF-Article 1.0 Author-Name: Jun Huang Author-X-Name-First: Jun Author-X-Name-Last: Huang Author-Name: Yu Gao Author-X-Name-First: Yu Author-X-Name-Last: Gao Author-Name: Lei Yu Author-X-Name-First: Lei Author-X-Name-Last: Yu Title: Novel observer design method for Lur'e differential inclusion systems Abstract: This paper proposes a new method to design observers for Lur'e differential inclusion systems. The feature of this method is that the designed observers do not contain any set-valued functions. single-input-single-output (SISO) systems are considered firstly, then the results are extended to multiple-input-multiple-output (MIMO) systems. For MIMO systems, the form of reduced-order observers is also presented. Simulations are given to show these observers work well. Journal: International Journal of Systems Science Pages: 2128-2138 Issue: 9 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.973929 File-URL: http://hdl.handle.net/10.1080/00207721.2014.973929 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2128-2138 Template-Type: ReDIF-Article 1.0 Author-Name: W.H. Wu Author-X-Name-First: W.H. Author-X-Name-Last: Wu Author-Name: D.Y. Chao Author-X-Name-First: D.Y. Author-X-Name-Last: Chao Title: Extension of the lower bound of monitor solutions of maximally permissive supervisors to non-α net systems Abstract: Traditional region-based liveness-enforcing supervisors focus on (1) maximal permissiveness of not losing legal states, (2) structural simplicity of minimal number of monitors, and (3) fast computation. Lately, a number of similar approaches can achieve minimal configuration using efficient linear programming. However, it is unclear as to the relationship between the minimal configuration and the net structure. It is important to explore the structures involved for the fewest monitors required. Once the lower bound is achieved, further iteration to merge (or reduce the number of) monitors is not necessary. The minimal strongly connected resource subnet (i.e., all places are resources) that contains the set of resource places in a basic siphon is an elementary circuit. Earlier, we showed that the number of monitors required for liveness-enforcing and maximal permissiveness equals that of basic siphons for a subclass of Petri nets modelling manufacturing, called α systems. This paper extends this to systems more powerful than the α one so that the number of monitors in a minimal configuration remains to be lower bounded by that of basic siphons. This paper develops the theory behind and shows examples. Journal: International Journal of Systems Science Pages: 2139-2151 Issue: 9 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.977977 File-URL: http://hdl.handle.net/10.1080/00207721.2014.977977 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2139-2151 Template-Type: ReDIF-Article 1.0 Author-Name: Gerasimos Rigatos Author-X-Name-First: Gerasimos Author-X-Name-Last: Rigatos Title: A chaotic communication system of improved performance based on the Derivative-free nonlinear Kalman filter Abstract: The Derivative-free nonlinear Kalman Filter is used for developing a communication system that is based on a chaotic modulator such as the Duffing system. In the transmitter’s side, the source of information undergoes modulation (encryption) in which a chaotic signal generated by the Duffing system is the carrier. The modulated signal is transmitted through a communication channel and at the receiver’s side demodulation takes place, after exploiting the estimation provided about the state vector of the chaotic oscillator by the Derivative-free nonlinear Kalman Filter. Evaluation tests confirm that the proposed filtering method has improved performance over the Extended Kalman Filter and reduces significantly the rate of transmission errors. Moreover, it is shown that the proposed Derivative-free nonlinear Kalman Filter can work within a dual Kalman Filtering scheme, for performing simultaneously transmitter–receiver synchronisation and estimation of unknown coefficients of the communication channel. Journal: International Journal of Systems Science Pages: 2152-2168 Issue: 9 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.978412 File-URL: http://hdl.handle.net/10.1080/00207721.2014.978412 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2152-2168 Template-Type: ReDIF-Article 1.0 Author-Name: Ricardo Enrique Gutiérrez-Carvajal Author-X-Name-First: Ricardo Enrique Author-X-Name-Last: Gutiérrez-Carvajal Author-Name: Leonimer Flávio de Melo Author-X-Name-First: Leonimer Flávio Author-X-Name-Last: de Melo Author-Name: João Maurício Rosário Author-X-Name-First: João Maurício Author-X-Name-Last: Rosário Author-Name: J.A. Tenreiro Machado Author-X-Name-First: J.A. Tenreiro Author-X-Name-Last: Machado Title: Condition-based diagnosis of mechatronic systems using a fractional calculus approach Abstract: While fractional calculus (FC) is as old as integer calculus, its application has been mainly restricted to mathematics. However, many real systems are better described using FC equations than with integer models. FC is a suitable tool for describing systems characterised by their fractal nature, long-term memory and chaotic behaviour. It is a promising methodology for failure analysis and modelling, since the behaviour of a failing system depends on factors that increase the model’s complexity. This paper explores the proficiency of FC in modelling complex behaviour by tuning only a few parameters. This work proposes a novel two-step strategy for diagnosis, first modelling common failure conditions and, second, by comparing these models with real machine signals and using the difference to feed a computational classifier. Our proposal is validated using an electrical motor coupled with a mechanical gear reducer. Journal: International Journal of Systems Science Pages: 2169-2177 Issue: 9 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.978833 File-URL: http://hdl.handle.net/10.1080/00207721.2014.978833 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2169-2177 Template-Type: ReDIF-Article 1.0 Author-Name: Xinsheng Wang Author-X-Name-First: Xinsheng Author-X-Name-Last: Wang Author-Name: Chenxu Wang Author-X-Name-First: Chenxu Author-X-Name-Last: Wang Author-Name: Mingyan Yu Author-X-Name-First: Mingyan Author-X-Name-Last: Yu Title: Swarm intelligence algorithm for interconnect model order reduction with sub-block structure preserving Abstract: In this paper, we propose a generalised sub-block structure preservation interconnect model order reduction (MOR) technique based on the swarm intelligence method, that is, particle swarm optimisation (PSO). The swarm intelligence-based structure preservation MOR can be used for a standard model as a criterion for different structure preservation interconnect MOR methods. In the proposed technique, the PSO method is used for predicting the unknown elements of structure-preserving reduced-order modelling of interconnect circuits. The prediction is based on minimising the difference of transform function between the original full-order and desired reduced-order systems maintaining the full-order structure in the reduced-order model. The proposed swarm-intelligence-based structure-preserving MOR method is compared with published work on structure preservation MOR SPRIM techniques. Simulation and synthesis results verify the accuracy and validity of the new structure-preserving MOR technique. Journal: International Journal of Systems Science Pages: 2178-2192 Issue: 9 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.979269 File-URL: http://hdl.handle.net/10.1080/00207721.2014.979269 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2178-2192 Template-Type: ReDIF-Article 1.0 Author-Name: Lijing Dong Author-X-Name-First: Lijing Author-X-Name-Last: Dong Author-Name: Senchun Chai Author-X-Name-First: Senchun Author-X-Name-Last: Chai Author-Name: Baihai Zhang Author-X-Name-First: Baihai Author-X-Name-Last: Zhang Author-Name: Sing Kiong Nguang Author-X-Name-First: Sing Kiong Author-X-Name-Last: Nguang Title: Sliding mode control for multi-agent systems under a time-varying topology Abstract: This paper addresses the tracking problem of a class of multi-agent systems under uncertain communication environments which has been modelled by a finite number of constant Laplacian matrices together with their corresponding scheduling functions. Sliding mode control method is applied to solve this nonlinear tracking problem under a time-varying topology. The controller of each tracking agent has been designed by using only its own and neighbours’ information. Sufficient conditions for the existence of a sliding mode control tracking strategy have been provided by the solvability of linear matrix inequalities. At the end of this work, numerical simulations are employed to demonstrate the effectiveness of the proposed sliding mode control tracking strategy. Journal: International Journal of Systems Science Pages: 2193-2200 Issue: 9 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.979335 File-URL: http://hdl.handle.net/10.1080/00207721.2014.979335 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2193-2200 Template-Type: ReDIF-Article 1.0 Author-Name: Bao-Chang Xu Author-X-Name-First: Bao-Chang Author-X-Name-Last: Xu Author-Name: Ying-Dan Zhang Author-X-Name-First: Ying-Dan Author-X-Name-Last: Zhang Title: New identification method for Hammerstein models based on approximate least absolute deviation Abstract: Disorder and peak noises or large disturbances can deteriorate the identification effects of Hammerstein non-linear models when using the least-square (LS) method. The least absolute deviation technique can be used to resolve this problem; however, its absolute value cannot meet the need of differentiability required by most algorithms. To improve robustness and resolve the non-differentiable problem, an approximate least absolute deviation (ALAD) objective function is established by introducing a deterministic function that exhibits the characteristics of absolute value under certain situations. A new identification method for Hammerstein models based on ALAD is thus developed in this paper. The basic idea of this method is to apply the stochastic approximation theory in the process of deriving the recursive equations. After identifying the parameter matrix of the Hammerstein model via the new algorithm, the product terms in the matrix are separated by calculating the average values. Finally, algorithm convergence is proven by applying the ordinary differential equation method. The proposed algorithm has a better robustness as compared to other LS methods, particularly when abnormal points exist in the measured data. Furthermore, the proposed algorithm is easier to apply and converges faster. The simulation results demonstrate the efficacy of the proposed algorithm. Journal: International Journal of Systems Science Pages: 2201-2213 Issue: 9 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.980366 File-URL: http://hdl.handle.net/10.1080/00207721.2014.980366 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2201-2213 Template-Type: ReDIF-Article 1.0 Author-Name: Hassan Ghiti Sarand Author-X-Name-First: Hassan Ghiti Author-X-Name-Last: Sarand Author-Name: Bahram Karimi Author-X-Name-First: Bahram Author-X-Name-Last: Karimi Title: Synchronisation of high-order MIMO nonlinear systems using distributed neuro-adaptive control Abstract: This paper addresses synchronisation problem of high-order multi-input/multi-output (MIMO) multi-agent systems. Each agent has unknown nonlinear dynamics and is subject to uncertain external disturbances. The agents must follow a reference trajectory. An adaptive distributed controller based on relative information of neighbours of each agent is designed to solve the problem for any undirected connected communication topology. A radial basis function neural network is used to represent the controller's unknown structure. Lyapunov stability analysis is employed to guarantee stability of the overall system. By the theoretical analysis, the closed-loop control system is shown to be uniformly ultimately bounded. Finally, simulations are provided to show effectiveness of the proposed control method against uncertainty and disturbances. Journal: International Journal of Systems Science Pages: 2214-2224 Issue: 9 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.980367 File-URL: http://hdl.handle.net/10.1080/00207721.2014.980367 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2214-2224 Template-Type: ReDIF-Article 1.0 Author-Name: Gwo-Ruey Yu Author-X-Name-First: Gwo-Ruey Author-X-Name-Last: Yu Author-Name: Yu-Chia Huang Author-X-Name-First: Yu-Chia Author-X-Name-Last: Huang Author-Name: Chih-Yung Cheng Author-X-Name-First: Chih-Yung Author-X-Name-Last: Cheng Title: Sum-of-squares-based fuzzy controller design using quantum-inspired evolutionary algorithm Abstract: In the field of fuzzy control, control gains are obtained by solving stabilisation conditions in linear-matrix-inequality-based Takagi–Sugeno fuzzy control method and sum-of-squares-based polynomial fuzzy control method. However, the optimal performance requirements are not considered under those stabilisation conditions. In order to handle specific performance problems, this paper proposes a novel design procedure with regard to polynomial fuzzy controllers using quantum-inspired evolutionary algorithms. The first contribution of this paper is a combination of polynomial fuzzy control and quantum-inspired evolutionary algorithms to undertake an optimal performance controller design. The second contribution is the proposed stability condition derived from the polynomial Lyapunov function. The proposed design approach is dissimilar to the traditional approach, in which control gains are obtained by solving the stabilisation conditions. The first step of the controller design uses the quantum-inspired evolutionary algorithms to determine the control gains with the best performance. Then, the stability of the closed-loop system is analysed under the proposed stability conditions. To illustrate effectiveness and validity, the problem of balancing and the up-swing of an inverted pendulum on a cart is used. Journal: International Journal of Systems Science Pages: 2225-2236 Issue: 9 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.983209 File-URL: http://hdl.handle.net/10.1080/00207721.2014.983209 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2225-2236 Template-Type: ReDIF-Article 1.0 Author-Name: Xingjian Wang Author-X-Name-First: Xingjian Author-X-Name-Last: Wang Author-Name: Shaoping Wang Author-X-Name-First: Shaoping Author-X-Name-Last: Wang Title: Adaptive fuzzy control with smooth inverse for nonlinear systems preceded by non-symmetric dead-zone Abstract: In this study, the adaptive output feedback control problem of a class of nonlinear systems preceded by non-symmetric dead-zone is considered. To cope with the possible control signal chattering phenomenon which is caused by non-smooth dead-zone inverse, a new smooth inverse is proposed for non-symmetric dead-zone compensation. For the systematic design procedure of the adaptive fuzzy control algorithm, we combine the backstepping technique and small-gain approach. The Takagi–Sugeno fuzzy logic systems are used to approximate unknown system nonlinearities. The closed-loop stability is studied by using small gain theorem and the closed-loop system is proved to be semi-globally uniformly ultimately bounded. Simulation results indicate that, compared to the algorithm with the non-smooth inverse, the proposed control strategy can achieve better tracking performance and the chattering phenomenon can be avoided effectively. Journal: International Journal of Systems Science Pages: 2237-2246 Issue: 9 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.998742 File-URL: http://hdl.handle.net/10.1080/00207721.2014.998742 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:9:p:2237-2246 Template-Type: ReDIF-Article 1.0 Author-Name: Youqing Wang Author-X-Name-First: Youqing Author-X-Name-Last: Wang Author-Name: Ling Zhang Author-X-Name-First: Ling Author-X-Name-Last: Zhang Author-Name: Yali Zhao Author-X-Name-First: Yali Author-X-Name-Last: Zhao Title: Improved closed-loop subspace identification with prior information Abstract: It has been proven that combining open-loop subspace identification with prior information can promote the accuracy of obtaining state-space models. In this study, prior information is exploited to improve the accuracy of closed-loop subspace identification. The proposed approach initially removes the correlation between future input and past innovation, a significant obstacle in closed-loop subspace identification method. Then, each row of the extended subspace matrix equation is considered an optimal multi-step ahead predictor and prior information is expressed in the form of equality constraints. The constrained least squares method is used to obtain improved results, so that the accuracy of the closed-loop subspace can be enhanced. Simulation examples are provided to demonstrate the effectiveness of the proposed algorithm. Journal: International Journal of Systems Science Pages: 1821-1835 Issue: 9 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1460409 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1460409 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:9:p:1821-1835 Template-Type: ReDIF-Article 1.0 Author-Name: Y. V. Venkatesh Author-X-Name-First: Y. V. Author-X-Name-Last: Venkatesh Title: New frequency-domain ℓ2-stability criteria for nonlinear MIMO discrete-time systems with constant and varying time delays Abstract: New frequency-domain $ \ell _2 $ ℓ2-stability criteria are derived for nonlinear discrete-time MIMO systems, having a linear time-invariant block with the transfer function $ \Gamma (z) $ Γ(z), in negative feedback with an aperiodic matrix gain $ A (k),\ k = 0, 1, 2, \ldots $ A(k), k=0,1,2,…, and a linear combination of a vector of certain classes of (generalised) first-and-third-quadrant non-monotone nonlinearities $ \underline {\varphi } (\underline {\cdot }) $ ϕ_(⋅_), having arguments with constant and time-varying delays, but without restrictions on their slopes. The framework does not employ Lyapunov–Krasovskii functionals involving linear matrix inequalities (LMIs) or their equivalent. The new stability criteria seem to be the most general for nonlinear and time variying time-delay systems, and have the following structure: (1) positive definiteness of the real part (as evaluated on $ |z| =1 $ |z|=1) of the product of $ \Gamma (z) $ Γ(z) and an algebraic sum of general causal and anticausal matrix multiplier functions of z. (2) An upper bound on the $ L_1 $ L1-norm of the inverse Fourier transform of the multiplier function, the $ L_1 $ L1-norm being weighted by certain novel, quantitative characteristic parameters (CPs) of the nonlinearities $ \underline {\varphi } (\underline {\cdot }) $ ϕ_(⋅_) without the asumptions of monotonicity, slope restrictions and the like. And (3) constraints on certain global averages of the generalised eigenvalues of $ (A (k+1), A (k)),\ k=1, 2, \ldots $ (A(k+1),A(k)), k=1,2,…, that are expressed in terms of (i) CPs of the nonlinearities, (ii) their coefficients, and, in general, (iii) time-delays in their arguments, a trade-off among all the three being possible. These global averages imply a restriction on the rate of variation of $ A (k) $ A(k) in a new sense. The literature results turn out to be special cases of the results of the present paper. Examples illustrate the stability theorems. Journal: International Journal of Systems Science Pages: 1836-1855 Issue: 9 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1479460 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1479460 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:9:p:1836-1855 Template-Type: ReDIF-Article 1.0 Author-Name: Jason Sheng-Hong Tsai Author-X-Name-First: Jason Sheng-Hong Author-X-Name-Last: Tsai Author-Name: Ying-Ting Liao Author-X-Name-First: Ying-Ting Author-X-Name-Last: Liao Author-Name: Zih-Wei Lin Author-X-Name-First: Zih-Wei Author-X-Name-Last: Lin Author-Name: Faezeh Ebrahimzadeh Author-X-Name-First: Faezeh Author-X-Name-Last: Ebrahimzadeh Author-Name: Shu-Mei Guo Author-X-Name-First: Shu-Mei Author-X-Name-Last: Guo Author-Name: Leang-San Shieh Author-X-Name-First: Leang-San Author-X-Name-Last: Shieh Author-Name: Jose I. Canelon Author-X-Name-First: Jose I. Author-X-Name-Last: Canelon Title: A new PI-based optimal linear quadratic state-estimate tracker for discrete-time non-square non-minimum phase systems Abstract: A new proportional–integral (PI)-based optimal linear quadratic state-estimate tracker, derived using a proportional–integral–derivative (PID) filter-based frequency-domain shaping approach, is proposed in this paper for discrete-time non-square non-minimum phase multi-input-multi-output systems. Subsequently, a new integrated PID filter-shaped optimal PI state estimator is presented for the aforementioned systems, so that both the proposed state estimator and the state-estimate tracker are able to achieve satisfactory minimum phase-like tracking performance, for the case of arbitrary command inputs with significant variations at some isolated time instants. Journal: International Journal of Systems Science Pages: 1856-1877 Issue: 9 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1479461 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1479461 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:9:p:1856-1877 Template-Type: ReDIF-Article 1.0 Author-Name: Qing-Yuan Xu Author-X-Name-First: Qing-Yuan Author-X-Name-Last: Xu Author-Name: Xiao-Dong Li Author-X-Name-First: Xiao-Dong Author-X-Name-Last: Li Title: Adaptive fuzzy ILC of nonlinear discrete-time systems with unknown dead zones and control directions Abstract: This paper presents an adaptive fuzzy iterative learning control (ILC) design for non-parametrized nonlinear discrete-time systems with unknown input dead zones and control directions. In the proposed adaptive fuzzy ILC algorithm, a fuzzy logic system (FLS) is used to approximate the desired control signal, and an additional adaptive mechanism is designed to compensate for the unknown input dead zone. In dealing with the unknown control direction of the nonlinear discrete-time system, a discrete Nussbaum gain technique is exploited along the iteration axis and applied to the adaptive fuzzy ILC algorithm. As a result, it is proved that the proposed adaptive fuzzy ILC scheme can drive the ILC tracking errors beyond the initial time instants into a tunable residual set as iteration number goes to infinity, and keep all the system signals bounded in the adaptive ILC process. Finally, a simulation example is used to demonstrate the feasibility and effectiveness of the adaptive fuzzy ILC scheme. Journal: International Journal of Systems Science Pages: 1878-1894 Issue: 9 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1479462 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1479462 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:9:p:1878-1894 Template-Type: ReDIF-Article 1.0 Author-Name: Satnesh Singh Author-X-Name-First: Satnesh Author-X-Name-Last: Singh Author-Name: S. Janardhanan Author-X-Name-First: S. Author-X-Name-Last: Janardhanan Title: Functional observer-based sliding mode control for linear discrete-time-delayed stochastic systems Abstract: Functional observers are the primary solution to sundry estimation problems, wherein full- or reduced-order observer cannot be directly applied. This paper presents a functional observer-based sliding mode control method for the linear discrete-time delayed stochastic system. Stability analysis of sliding function is presented for the delayed stochastic system with a linear matrix inequality approach. The functional observer method for the linear discrete-time-delayed stochastic system is proposed based on the Kronecker product approach. Sliding mode controller is estimated using the functional observer method. Finally, to demonstrate the efficacy of the proposed design, comparison of its performance with some of the well-known existing state feedback controller is presented. Journal: International Journal of Systems Science Pages: 1895-1907 Issue: 9 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1479463 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1479463 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:9:p:1895-1907 Template-Type: ReDIF-Article 1.0 Author-Name: Tingting Gao Author-X-Name-First: Tingting Author-X-Name-Last: Gao Author-Name: Jiangshuai Huang Author-X-Name-First: Jiangshuai Author-X-Name-Last: Huang Author-Name: Yong Zhou Author-X-Name-First: Yong Author-X-Name-Last: Zhou Title: Adaptive consensus control of nonlinear systems with unknown control directions Abstract: In this paper, we investigate the adaptive consensus control for a class of nonlinear systems with different unknown control directions where communications among the agents are represented by a directed graph. Based on the backstepping technique, a fully distributed adaptive control approach is proposed without using global information of the topology. Meanwhile, a novel Nussbaum-type function is proposed to address the consensus control with unknown control directions. It is proved that boundedness of all closed-loop signals and asymptotic consensus tracking for all the agents' outputs are ensured. In simulation studies, a numerical example is illustrated to show the effectiveness of the control scheme. Journal: International Journal of Systems Science Pages: 1908-1917 Issue: 9 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1479464 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1479464 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:9:p:1908-1917 Template-Type: ReDIF-Article 1.0 Author-Name: Yanqian Wang Author-X-Name-First: Yanqian Author-X-Name-Last: Wang Author-Name: Shuyu Zhang Author-X-Name-First: Shuyu Author-X-Name-Last: Zhang Author-Name: Xiaobo Dong Author-X-Name-First: Xiaobo Author-X-Name-Last: Dong Author-Name: Guangming Zhuang Author-X-Name-First: Guangming Author-X-Name-Last: Zhuang Title: Fault detection for a class of nonlinear networked systems under adaptive event-triggered scheme with randomly occurring nonlinear perturbations Abstract: The problem of fault detection for a class of nonlinear systems with randomly occurring nonlinear perturbations under the adaptive event-triggered scheme is investigated. The phenomena of randomly occurring nonlinear perturbations are modelled as a stochastic variable satisfying a certain probability distribution. An adaptive event-triggered scheme is developed to further reduce the data transmission over the network and reduce the utilisation ratio of network resources. A full-order fault detection filter is constructed. By augmenting the states of the original system and the fault detection filter, the problem of fault detection is transformed into an auxiliary $ H_{\infty } $ H∞ filtering for a time delay system. Sufficient conditions for the existence of the designed fault detection filter are obtained in terms of a group of linear matrix inequalities. Finally, two examples are given to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1918-1933 Issue: 9 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1479467 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1479467 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:9:p:1918-1933 Template-Type: ReDIF-Article 1.0 Author-Name: Jianlei Zhang Author-X-Name-First: Jianlei Author-X-Name-Last: Zhang Author-Name: Zimin Xu Author-X-Name-First: Zimin Author-X-Name-Last: Xu Author-Name: Zengqiang Chen Author-X-Name-First: Zengqiang Author-X-Name-Last: Chen Title: Effects of strategy switching and network topology on decision-making in multi-agent systems Abstract: To study why the altruistic cooperation can emerge and maintain among self-interested individuals, researchers across several disciplines have made contributions for the solutions of this fascinating problem. Among this, a most-often used framework to describe cooperative dilemma is the evolutionary game theory. In traditional settings, an ideal hypothesis that individuals can feasibly obtain related partners' pay-offs for strategy updating is often adopted. However, considering the impracticality in acquiring accurate pay-offs of referential objects at each round of interaction, we propose switching probability which is independent of pay-offs and denotes the willingness of any individual shifts to another strategy. Here we provide results for the evolutionary dynamics driven by the switching probability in a three-strategy game model, played by the fully connected populations. The findings inform the befitting design of switching probabilities which maximally promote cooperation. We also derive general results that characterise the interaction of the three strategies: coexistence of multiple strategies or domination by some strategy. Journal: International Journal of Systems Science Pages: 1934-1949 Issue: 9 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1479469 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1479469 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:9:p:1934-1949 Template-Type: ReDIF-Article 1.0 Author-Name: Jun-Man Yang Author-X-Name-First: Jun-Man Author-X-Name-Last: Yang Author-Name: Yao-Lin Jiang Author-X-Name-First: Yao-Lin Author-X-Name-Last: Jiang Title: Krylov subspace approximation for quadratic-bilinear differential system Abstract: Many nonlinear systems with nonlinearities of the form $ {1}/({k+x}) $ 1/(k+x), $ {\rm e}^{x} $ ex, $ x^{\alpha } $ xα, ln $ (x) $ (x) can be converted into quadratic-bilinear differential algebraic equations (QBDAEs) by introducing new variables and operating some algebra computations. Previous researches claim that the first two generalised transfer functions are enough to capture the dynamical behaviours of the system. In this research, we attempt to use traditional Krylov subspace methods to obtain the reduced model of the original QBDAEs so that the input–output behaviours of the reduced system can approximate that of the initial system. Model order reduction method proposed in this paper can match higher moments of first two transfer functions. Moreover, it does not involve the computation of tensor, and the main subfunction of this method is Arnoldi process which is easy to realise. We also analyse the stability and matching property of the reduction process. In addition, the numerical cost is given. The theory result and numerical result show the validity of the proposed method and the small computation expense of this method. Journal: International Journal of Systems Science Pages: 1950-1963 Issue: 9 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1480814 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1480814 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:9:p:1950-1963 Template-Type: ReDIF-Article 1.0 Author-Name: Salma Keskes Author-X-Name-First: Salma Author-X-Name-Last: Keskes Author-Name: Nouha Bouchiba Author-X-Name-First: Nouha Author-X-Name-Last: Bouchiba Author-Name: Soulaymen Kammoun Author-X-Name-First: Soulaymen Author-X-Name-Last: Kammoun Author-Name: Souhir Sallem Author-X-Name-First: Souhir Author-X-Name-Last: Sallem Author-Name: Larbi Chrifi-Alaoui Author-X-Name-First: Larbi Author-X-Name-Last: Chrifi-Alaoui Author-Name: Mohamed Ben Ali Kammoun Author-X-Name-First: Mohamed Ben Ali Author-X-Name-Last: Kammoun Title: An improved Backstepping technique using sliding mode control for transient stability enhancement and voltage regulation of SMIB power system Abstract: The problem of transient stability and voltage regulation for a single machine infinite bus (SMIB) system is addressed in this paper. An improved Backstepping design method for transient stability enhancement and voltage regulation of power systems is discussed beginning with the classical Backstepping to designing the nonlinear excitation control of synchronous generator. Then a more refined version of this technique will be suggested incorporating the sliding mode control to enhance voltage regulation and transient stability. The proposed method is based on a standard third-order model of a synchronous generator connected to the grid (SMIB system). It is basically implemented on the excitation side of the synchronous generator and compared to the classical Backstepping controller as well as the conventional controllers which are the automatic voltage regulator and the power system stabiliser. Simulation results prove the effectiveness of the proposed method which ameliorates to a great extent the transient stability compared to the other methods. Journal: International Journal of Systems Science Pages: 1964-1973 Issue: 9 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1481239 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1481239 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:9:p:1964-1973 Template-Type: ReDIF-Article 1.0 Author-Name: Haibin Sun Author-X-Name-First: Haibin Author-X-Name-Last: Sun Author-Name: Linlin Hou Author-X-Name-First: Linlin Author-X-Name-Last: Hou Author-Name: Guangdeng Zong Author-X-Name-First: Guangdeng Author-X-Name-Last: Zong Title: Adaptive neural network asymptotical tracking control for an uncertain nonlinear system with input quantisation Abstract: In this paper, the problem of adaptive neural network asymptotical tracking is investigated for a class of nonlinear system with unknown function, external disturbances and input quantisation. Based on neural network technique, an adaptive asymptotical tracking controller is provided for an uncertain nonlinear system via backstepping method. In order to reduce complexity of the control algorithm in the backstepping design process, a sliding mode differentiator is employed to estimate the virtual control law and only two parameters need to be estimated via adaptive control technique. The stability of the closed-loop system is analysed by using Lyapunov function method and zero-tracking error performance is obtained in the presence of unknown nonlinear function, external disturbances and input quantisation. Finally, an application example is employed to demonstrate the effectiveness of the proposed scheme. Journal: International Journal of Systems Science Pages: 1974-1984 Issue: 9 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1481240 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1481240 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:9:p:1974-1984 Template-Type: ReDIF-Article 1.0 Author-Name: Chengzhi Yuan Author-X-Name-First: Chengzhi Author-X-Name-Last: Yuan Author-Name: Fen Wu Author-X-Name-First: Fen Author-X-Name-Last: Wu Title: Cooperative state estimation of multi-agent systems subject to bounded external disturbances Abstract: This paper deals with the problem of cooperative state estimation of general linear multi-agent systems subject to heterogeneous bounded external disturbances. This problem specifies the objective that each agent estimates its own state by using only relative information from its neighbours. Because of the existence of external disturbances, the problem is challenging especially when stringent exact estimation performance is desired. To this end, two cooperative estimation protocols are proposed, including the discontinuous nonlinear protocol for exact state estimation and the continuous nonlinear protocol for estimation with bounded errors. The overall network stability and convergence properties are analysed using the Lyapunov function method. A simulation example has also been used to demonstrate the effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 1985-1996 Issue: 9 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1482380 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1482380 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:9:p:1985-1996 Template-Type: ReDIF-Article 1.0 Author-Name: Chenchen Fan Author-X-Name-First: Chenchen Author-X-Name-Last: Fan Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Author-Name: Xiaochen Xie Author-X-Name-First: Xiaochen Author-X-Name-Last: Xie Title: Peak-to-peak filtering for periodic piecewise linear polytopic systems Abstract: In this paper, the robust peak-to-peak filtering problem for periodic piecewise systems with polytopic uncertainties is investigated. Attention is focused on designing of robust peak-to-peak filters that guarantee the robust asymptotic stability of periodic piecewise filtering error system and satisfy a prescribed peak-to-peak disturbance attenuation level for all admissible uncertainties. A sufficient condition is proposed for robust stability and peak-to-peak performance by employing the constructed time-varying Lyapunov function. Two design approaches based on the Lyapunov function with parameter-dependent matrices and parameter-independent matrices are utilised to solve this problem. An algorithm is proposed to compute the periodic filter parameters governed by non-convex feasibility conditions. Two numerical examples are presented to demonstrate the effectiveness of the proposed techniques. Journal: International Journal of Systems Science Pages: 1997-2011 Issue: 9 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1482381 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1482381 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:9:p:1997-2011 Template-Type: ReDIF-Article 1.0 Author-Name: Zhuo-Yun Nie Author-X-Name-First: Zhuo-Yun Author-X-Name-Last: Nie Author-Name: Yi-jing Ma Author-X-Name-First: Yi-jing Author-X-Name-Last: Ma Author-Name: Qing-Guo Wang Author-X-Name-First: Qing-Guo Author-X-Name-Last: Wang Author-Name: Dongsheng Guo Author-X-Name-First: Dongsheng Author-X-Name-Last: Guo Title: Guaranteed-cost active disturbance rejection control for uncertain systems with an integral controller Abstract: Guaranteed-cost active disturbance rejection control (ADRC) for uncertain systems is investigated in this study. Firstly, an integral action is introduced in the framework of ADRC to measure and reduce the tracking error. Then, a robust stability condition is presented, and a quadratic cost function where the tracking error is appearing explicitly is used for ADRC performance assessment. The cost bound is formulated by linear matrix inequality and optimised to obtain controller parameters. Full-dimension extended state observer is used, and thus, the proposed strategy is applicable to an uncertain system that allows relative-degree varying or right-half-plane zero. Finally, the validity of the proposed method and its advantages is demonstrated through the simulations of comparative examples and experiments on a motor speed control system. Journal: International Journal of Systems Science Pages: 2012-2024 Issue: 9 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1483042 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1483042 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:9:p:2012-2024 Template-Type: ReDIF-Article 1.0 Author-Name: Lin Shi Author-X-Name-First: Lin Author-X-Name-Last: Shi Author-Name: Haibo Gu Author-X-Name-First: Haibo Author-X-Name-Last: Gu Author-Name: Mei Yu Author-X-Name-First: Mei Author-X-Name-Last: Yu Author-Name: Bingcai Chen Author-X-Name-First: Bingcai Author-X-Name-Last: Chen Author-Name: Dongmei Xie Author-X-Name-First: Dongmei Author-X-Name-Last: Xie Title: Consensus tracking control for sampled-data second-order multi-agent systems with arbitrary weights under fixed communication topology Abstract: This paper focuses on the consensus tracking control problem of multi-agent systems (MASs) with arbitrary adjacency weights instead of traditional nonnegative weights in a sampling setting. First, unlike Lemma 4 in Hu and Hong [2007. Leader-following coordination of MASs with coupling time delays. Physica A: Statistical Mechanics and its Applications, 374(2), 853–863], for MASs with arbitrary weights, the global reachability of the leader node is just a necessary but not a necessary and sufficient condition to guarantee the positive stability of matrix H. Hence, it's urgent for us to establish some positive stability criteria of matrix H first, which is a necessary condition for MASs to achieve consensus tracking. Simultaneously, we also solve the following problems successfully: which nodes should have direct connection with the leader? What's the range size of the leader adjacency coefficients? Then, some sufficient consensus tracking control conditions are obtained for MASs without time-delays and with time-delays by using matrix analysis method and perturbation theory, respectively. Finally, numerical examples are given to illustrate the effectiveness of our results. Journal: International Journal of Systems Science Pages: 2025-2038 Issue: 9 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1483043 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1483043 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:9:p:2025-2038 Template-Type: ReDIF-Article 1.0 Author-Name: Jinnan Luo Author-X-Name-First: Jinnan Author-X-Name-Last: Luo Author-Name: Wenhong Tian Author-X-Name-First: Wenhong Author-X-Name-Last: Tian Author-Name: Shouming Zhong Author-X-Name-First: Shouming Author-X-Name-Last: Zhong Author-Name: Kaibo Shi Author-X-Name-First: Kaibo Author-X-Name-Last: Shi Author-Name: Xian-Ming Gu Author-X-Name-First: Xian-Ming Author-X-Name-Last: Gu Author-Name: Wenqin Wang Author-X-Name-First: Wenqin Author-X-Name-Last: Wang Title: Improved delay-probability-dependent results for stochastic neural networks with randomly occurring uncertainties and multiple delays Abstract: This study seeks to address the delay-probability-dependent stability problem for a new class of stochastic neural networks with randomly occurring uncertainties, neutral type delay, distributed delay and probability-distribution delay. The system not only includes the randomly occurring uncertainties of parameters (ROUPs) but also contains stochastic disturbances, which is not yet investigated in existing papers. First, several stochastic variables which obey Bernoulli distribution are introduced to describe the ROUPs, based on which a new model is built. Second, through fully considering the information on kinds of delays and utilising general delay-partitioning method, an improved Lyapunov–Krasovskii function (LKF) is constructed. Combining Itô's differential formula, general bounding, free-weighting matrix and stochastic methods, a new delay-probability-dependent robustly mean square stable criterion is formulated in terms of linear matrix inequality. Finally, two numerical examples are given to demonstrate the effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 2039-2059 Issue: 9 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1483044 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1483044 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:9:p:2039-2059 Template-Type: ReDIF-Article 1.0 Author-Name: Yunong Zhang Author-X-Name-First: Yunong Author-X-Name-Last: Zhang Author-Name: Yinyan Zhang Author-X-Name-First: Yinyan Author-X-Name-Last: Zhang Author-Name: Dechao Chen Author-X-Name-First: Dechao Author-X-Name-Last: Chen Author-Name: Zhengli Xiao Author-X-Name-First: Zhengli Author-X-Name-Last: Xiao Author-Name: Xiaogang Yan Author-X-Name-First: Xiaogang Author-X-Name-Last: Yan Title: Division by zero, pseudo-division by zero, Zhang dynamics method and Zhang-gradient method about control singularity conquering Abstract: In this paper, the division-by-zero (DBO) problem in the field of nonlinear control, which is traditionally termed the control singularity problem (or specifically, controller singularity problem), is investigated by the Zhang dynamics (ZD) method and the Zhang-gradient (ZG) method. According to the impact of the DBO problem on the state variables of the controlled nonlinear system, the concepts of the pseudo-DBO problem and the true-DBO problem are proposed in this paper, which provide a new perspective for the researchers on the DBO problems as well as nonlinear control systems. Besides, the two classes of DBO problems are solved under the framework of the ZG method. Specific examples are shown and investigated in this paper to illustrate the two proposed concepts and the efficacy of the ZG method in conquering pseudo-DBO and true-DBO problems. The application of the ZG method to the tracking control of a two-wheeled mobile robot further substantiates the effectiveness of the ZG method. In addition, the ZG method is successfully applied to the tracking control of a pure-feedback nonlinear system. Journal: International Journal of Systems Science Pages: 1-12 Issue: 1 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1139761 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1139761 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:1-12 Template-Type: ReDIF-Article 1.0 Author-Name: Y. J. Shi Author-X-Name-First: Y. J. Author-X-Name-Last: Shi Author-Name: R. Li Author-X-Name-First: R. Author-X-Name-Last: Li Author-Name: K. L. Teo Author-X-Name-First: K. L. Author-X-Name-Last: Teo Title: Rotary enclosing control of second-order multi-agent systems for a group of targets Abstract: This paper investigates the rotary enclosing control of a second-order multi-agent system around a group of moving targets. The concepts of the central estimator and the rotary enclosing control for targets are introduced. Based on the target estimators, the enclosing control protocol is constructed and the convergency of the control protocol is established. With the proposed control protocol, the given enclosing structure can be achieved and the agents can keep on moving in rotatory formation according to given centripetal acceleration. Finally, simulation studies are carried out by using the proposed method so as to demonstrate its applicability. Journal: International Journal of Systems Science Pages: 13-21 Issue: 1 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1144226 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1144226 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:13-21 Template-Type: ReDIF-Article 1.0 Author-Name: Junqi Yang Author-X-Name-First: Junqi Author-X-Name-Last: Yang Author-Name: Yantao Chen Author-X-Name-First: Yantao Author-X-Name-Last: Chen Author-Name: Fanglai Zhu Author-X-Name-First: Fanglai Author-X-Name-Last: Zhu Author-Name: Fuzhong Wang Author-X-Name-First: Fuzhong Author-X-Name-Last: Wang Title: Simultaneous state and output disturbance estimations for a class of switched linear systems with unknown inputs Abstract: The paper considers the issues of state estimation and output disturbance reconstruction for a class of switched linear systems with unknown inputs. A singular switched system is derived from the original switched system by taking the output disturbance as a part of a new extended state vector. For the constructed singular switched system, a robust sliding-mode switched observer which can not only estimate the states of original switched system but also reconstruct output disturbances is proposed, where the switching of the observer is synchronous with that of the switched system. A sufficient condition is provided to guarantee the existence of the switched observer by the feasibility of an optimisation problem with linear matrix inequality constraint, and the corresponding switching signal with average dwell time is designed such that the convergence of the estimation error system is proven to be exponential. Based on the state estimation of singular switched system, the methods of state estimation and output disturbance reconstruction of original switched system are proposed. Finally, the simulation results confirm the predicted performance of the proposed methods. Journal: International Journal of Systems Science Pages: 22-33 Issue: 1 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1144227 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1144227 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:22-33 Template-Type: ReDIF-Article 1.0 Author-Name: Chen Zheng Author-X-Name-First: Chen Author-X-Name-Last: Zheng Author-Name: Jinde Cao Author-X-Name-First: Jinde Author-X-Name-Last: Cao Author-Name: Manfeng Hu Author-X-Name-First: Manfeng Author-X-Name-Last: Hu Author-Name: Xiaozheng Fan Author-X-Name-First: Xiaozheng Author-X-Name-Last: Fan Title: Finite-time stabilisation for discrete-time T–S fuzzy model system with channel fading and two types of parametric uncertainty Abstract: In this paper, the problem of finite-time stabilisation is firstly studied for the Takagi–Sugeno (T–S) fuzzy model system with channel fading and parameter uncertainty. Two theorems are given for the cases with different types of uncertainty. The sufficient conditions in the form of the linear matrix inequalities are derived such that the stabilisation of the closed-loop system is guaranteed. At last, some illustrative examples are employed to demonstrate the efficiency of the results. Journal: International Journal of Systems Science Pages: 34-42 Issue: 1 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1146972 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1146972 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:34-42 Template-Type: ReDIF-Article 1.0 Author-Name: Yingnan Pan Author-X-Name-First: Yingnan Author-X-Name-Last: Pan Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Fault detection for interval type-2 fuzzy stochastic systems with D stability constraint Abstract: This paper investigates the fault detection problem for interval type-2 (IT2) fuzzy stochastic systems with D stability constraint. In the design process, the constructed IT2 fuzzy stochastic system and fault detection filter use different membership functions and the number of fuzzy rules. The parameter uncertainties in the IT2 membership functions are captured through upper and lower membership functions. For relaxing the stability analysis and deriving the existence conditions of the fault detection filter that guarantee the mean-square asymptotically stable and H∞ performance of the inferred IT2 fault detection system, the approach of dividing the state space and the values of upper and lower membership functions are exploited. Finally, simulation results are given to show the effectiveness of the presented results. Journal: International Journal of Systems Science Pages: 43-52 Issue: 1 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1151963 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1151963 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:43-52 Template-Type: ReDIF-Article 1.0 Author-Name: Zhijie Liu Author-X-Name-First: Zhijie Author-X-Name-Last: Liu Author-Name: Jinkun Liu Author-X-Name-First: Jinkun Author-X-Name-Last: Liu Author-Name: Wei He Author-X-Name-First: Wei Author-X-Name-Last: He Title: Partial differential equation boundary control of a flexible manipulator with input saturation Abstract: In this study, we consider the boundary control problem of a flexible manipulator in the presence of input saturation and input disturbances. The dynamics of the flexible system are represented by partial differential equations (PDEs). Based on disturbance observers, a boundary control scheme is designed to regulate angular position and suppress elastic vibration simultaneously. The proposed control scheme allows the application of smooth hyperbolic functions, which satisfy physical conditions and input restrictions, easily be realised. It is proved that the proposed control scheme can be guaranteed in handling input saturation and external disturbances. The stability is achieved through rigorous analysis without any simplification of the dynamics. Numerical simulations demonstrate the effectiveness of the proposed scheme. Journal: International Journal of Systems Science Pages: 53-62 Issue: 1 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1152416 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1152416 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:53-62 Template-Type: ReDIF-Article 1.0 Author-Name: Mahsan Tavakoli-Kakhki Author-X-Name-First: Mahsan Author-X-Name-Last: Tavakoli-Kakhki Title: Implementation of fractional-order transfer functions in the viewpoint of the required fractional-order capacitors Abstract: In this paper, based on the concept of restricted difference basis (RDB) for a natural number, the general structures of the pseudo state-space realisations of some classes of commensurate fractional-order transfer functions are obtained. It is shown that the number of needed fractional-order capacitors for implementing a transfer function belonging to each of these classes depends on the commensurate order and also the RDB based on which the pseudo state-space realisation of the considered transfer function is obtained. In this regard, three general classes of commensurate fractional-order transfer functions are introduced which all can be implemented by the same number of fractional-order capacitors. Also, four classes of fractional-order transfer functions of commensurate order 1/122${1 \mathord{/ {\vphantom {1 2}} \kern-\nulldelimiterspace} 2}$ are introduced which all can be implemented by only one fractional-order capacitor of order 1/122${1 \mathord{/ {\vphantom {1 2}} \kern-\nulldelimiterspace} 2}$. Finally, as a more general case, four classes of fractional-order transfer functions of commensurate order 1/1rr(r∈N)${1 \mathord{/ {\vphantom {1 r}} \kern-\nulldelimiterspace} r}(r \in \mathbb{N})$ are studied in aspect of the number and the order of the fractional-order capacitors needed for their implementations. It is proved that these classes of commensurate fractional-order transfer functions can be implemented by r − 1 number of fractional-order capacitors of order 1/1rr${1 \mathord{/ {\vphantom {1 r}} \kern-\nulldelimiterspace} r}$. Journal: International Journal of Systems Science Pages: 63-73 Issue: 1 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1152519 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1152519 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:63-73 Template-Type: ReDIF-Article 1.0 Author-Name: Yi-Kuei Lin Author-X-Name-First: Yi-Kuei Author-X-Name-Last: Lin Author-Name: Cheng-Ta Yeh Author-X-Name-First: Cheng-Ta Author-X-Name-Last: Yeh Author-Name: Cheng-Fu Huang Author-X-Name-First: Cheng-Fu Author-X-Name-Last: Huang Title: Reliability assessment of a multistate freight network for perishable merchandise with multiple suppliers and buyers Abstract: This study develops a multistate freight network for single and perishable merchandise to assess the freight performance, where a node denotes a supplier, a distribution centre, or a buyer, while a logistics company providing a freight traffic service is denoted by an edge. For each logistics company, carrying capacity should be multistate since partial capacity may be reserved by some customers. The merchandise may perish or be perished during conveyance because of disadvantageous weather or collision in carrying such that the number of intact cargoes may be insufficient for the buyers. Hence, according to the perspective of supply chain management, the reliability, a probability of the network to successfully deliver the cargoes from the suppliers to the buyers subject to a budget, is proposed to be a performance index, where the suppliers and buyers are not the previous customers. An algorithm in terms of minimal paths to assess the reliability is developed. A fruit logistics case is adopted to explore the managerial implications of the reliability using sensitivity analysis. Journal: International Journal of Systems Science Pages: 74-83 Issue: 1 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1157222 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1157222 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:74-83 Template-Type: ReDIF-Article 1.0 Author-Name: Chao Zhang Author-X-Name-First: Chao Author-X-Name-Last: Zhang Author-Name: Huosheng Hu Author-X-Name-First: Huosheng Author-X-Name-Last: Hu Author-Name: Jing Wang Author-X-Name-First: Jing Author-X-Name-Last: Wang Title: An adaptive neural network approach to the tracking control of micro aerial vehicles in constrained space Abstract: This paper presents an adaptive neural network approach to the trajectory tracking control of micro aerial vehicles especially when they are flying in a limited indoor area. Differing from conventional controllers, the proposed controller employs the outer position loop to directly generate angular velocity commands in the presence of unknown aerodynamics and disturbances and then the fast inner loop to handle the angular rate control. Adaptive neural networks are deployed to estimate all the uncertain factors with the adaptation law derived from the Lyapunov function. To achieve a real-time performance, a norm estimation approach of ideal weights is designed to achieve a high bandwidth and lighten the burden of computation burden. Meanwhile, a barrier Lyapunov function is introduced to guarantee the constraint of vehicle positions as well as the validity of the neural network estimation. Simulations and practical flight tests are conducted to verify the feasibility and effectiveness of the proposed control strategy. Journal: International Journal of Systems Science Pages: 84-94 Issue: 1 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1157223 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1157223 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:84-94 Template-Type: ReDIF-Article 1.0 Author-Name: M. Parada Author-X-Name-First: M. Author-X-Name-Last: Parada Author-Name: D. Sbarbaro Author-X-Name-First: D. Author-X-Name-Last: Sbarbaro Author-Name: R. A. Borges Author-X-Name-First: R. A. Author-X-Name-Last: Borges Author-Name: P. L. D. Peres Author-X-Name-First: P. L. D. Author-X-Name-Last: Peres Title: Robust PI and PID design for first- and second-order processes with zeros, time-delay and structured uncertainties Abstract: The use of robust design techniques such as the one based on H2${\mathcal {H}}_{2}$ and H∞${\mathcal {H}}_{\infty }$ for tuning proportional integral (PI) and proportional integral derivative (PID) controllers have been limited to address a small set of processes. This work addresses the problem by considering a wide set of possible plants, both first- and second-order continuous-time systems with time delays and zeros, leading to PI and PID controllers. The use of structured uncertainties to handle neglected dynamics allows to expand the range of processes to be considered. The proposed approach takes into account the robustness of the controller with respect to these structured uncertainties by using the small-gain theorem. In addition, improved performance is sought through the minimisation of an upper bound to the closed-loop system H∞${\mathcal {H}}_{\infty }$ norm. A Lyapunov–Krasovskii-type functional is used to obtain delay-dependent design conditions. The controller design is accomplished by means of a convex optimisation procedure formulated using linear matrix inequalities. In order to illustrate the flexibility of the approach, several examples considering recycle compensation, reduced-order controller design and a practical implementation are addressed. Numerical experiments are provided in each case to highlight the main characteristics of the proposed design method. Journal: International Journal of Systems Science Pages: 95-106 Issue: 1 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1160453 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1160453 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:95-106 Template-Type: ReDIF-Article 1.0 Author-Name: B. Tolbi Author-X-Name-First: B. Author-X-Name-Last: Tolbi Author-Name: H. Tebbikh Author-X-Name-First: H. Author-X-Name-Last: Tebbikh Author-Name: H. Alla Author-X-Name-First: H. Author-X-Name-Last: Alla Title: Fault-tolerant continuous flow systems modelling Abstract: This paper presents a structural modelling of faults with hybrid Petri nets (HPNs) for the analysis of a particular class of hybrid dynamic systems, continuous flow systems. HPNs are first used for the behavioural description of continuous flow systems without faults. Then, faults’ modelling is considered using a structural method without having to rebuild the model to new. A translation method is given in hierarchical way, it gives a hybrid automata (HA) from an elementary HPN. This translation preserves the behavioural semantics (timed bisimilarity), and reflects the temporal behaviour by giving semantics for each model in terms of timed transition systems. Thus, advantages of the power modelling of HPNs and the analysis ability of HA are taken. A simple example is used to illustrate the ideas. Journal: International Journal of Systems Science Pages: 107-117 Issue: 1 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1160454 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1160454 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:107-117 Template-Type: ReDIF-Article 1.0 Author-Name: Saurabh Pandey Author-X-Name-First: Saurabh Author-X-Name-Last: Pandey Author-Name: Somanath Majhi Author-X-Name-First: Somanath Author-X-Name-Last: Majhi Title: Limit cycle-based exact estimation of FOPDT process parameters under input/output disturbances: a state-space approach Abstract: A set of novel explicit expressions for the identification of stable, unstable and integrating first-order plus dead time process dynamics is presented. In the absence of sensor noise/static load disturbances, an autonomous relay control system with an asymmetrical relay induces a smooth limit cycle at the process output. Dynamic model parameters are estimated using the set of proposed expressions which depend on the parameters of limit cycle output and its derivatives. However, in practice, the process output is generally corrupted by the measurement noise, thereby rendering an erroneous identification of process dynamics. Furthermore, static load disturbance during an identification test also induces an asymmetrical limit cycle output resulting in inaccurate measurements. Hence, a fast Fourier transform technique and biased relay feedback methods are implemented to obviate the problem of asymmetries and chattering in the limit cycle output yielding the original limit cycle and its subsequent derivatives. The proposed method has been validated, considering five typical examples from literature. An extensive comparison study with existing approaches based on Nyquist plots demonstrate the efficacy of the method presented. Journal: International Journal of Systems Science Pages: 118-128 Issue: 1 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1160455 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1160455 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:118-128 Template-Type: ReDIF-Article 1.0 Author-Name: Jiang Wu Author-X-Name-First: Jiang Author-X-Name-Last: Wu Author-Name: Fucheng Liao Author-X-Name-First: Fucheng Author-X-Name-Last: Liao Author-Name: Masayoshi Tomizuka Author-X-Name-First: Masayoshi Author-X-Name-Last: Tomizuka Title: Optimal preview control for a linear continuous-time stochastic control system in finite-time horizon Abstract: This paper discusses the design of the optimal preview controller for a linear continuous-time stochastic control system in finite-time horizon, using the method of augmented error system. First, an assistant system is introduced for state shifting. Then, in order to overcome the difficulty of the state equation of the stochastic control system being unable to be differentiated because of Brownian motion, the integrator is introduced. Thus, the augmented error system which contains the integrator vector, control input, reference signal, error vector and state of the system is reconstructed. This leads to the tracking problem of the optimal preview control of the linear stochastic control system being transformed into the optimal output tracking problem of the augmented error system. With the method of dynamic programming in the theory of stochastic control, the optimal controller with previewable signals of the augmented error system being equal to the controller of the original system is obtained. Finally, numerical simulations show the effectiveness of the controller. Journal: International Journal of Systems Science Pages: 129-137 Issue: 1 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1160456 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1160456 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:129-137 Template-Type: ReDIF-Article 1.0 Author-Name: Lei Liu Author-X-Name-First: Lei Author-X-Name-Last: Liu Author-Name: Jinjun Shan Author-X-Name-First: Jinjun Author-X-Name-Last: Shan Title: robust synchronisation of nonlinear multi-agent systems with sampled-data information Abstract: A distributed H∞$\mathcal {H}_{\infty }$ controller is presented for nonlinear multi-agent systems in this paper. The nonlinear dynamics of each agent are characterised by the Lipschitz condition. With the appearance of system uncertainty and external disturbance, a sampled-data feedback control protocol is carried out along the Lyapunov functional approach. Meanwhile, a state observer is incorporated to reinforce the capability of the proposed control strategy. It is demonstrated that the synchronisation of the networked nonlinear agents are essentially achieved with locally shared information. Remarkably, the system uncertainty and external disturbance are considered in the controller design and the influence caused by L2$\mathcal {L}_2$-bounded disturbance is minimised effectively. Furthermore, the control gain and observer gain derivation are equivalently transformed to a convex optimisation problem, which is solved by an iterative algorithm developed based on the sufficient conditions of system stability. The effectiveness of the proposed controller is verified by simulations. Journal: International Journal of Systems Science Pages: 138-149 Issue: 1 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1160457 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1160457 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:138-149 Template-Type: ReDIF-Article 1.0 Author-Name: Ajay Sharma Author-X-Name-First: Ajay Author-X-Name-Last: Sharma Author-Name: Harish Sharma Author-X-Name-First: Harish Author-X-Name-Last: Sharma Author-Name: Annapurna Bhargava Author-X-Name-First: Annapurna Author-X-Name-Last: Bhargava Author-Name: Nirmala Sharma Author-X-Name-First: Nirmala Author-X-Name-Last: Sharma Title: Power law-based local search in spider monkey optimisation for lower order system modelling Abstract: The nature-inspired algorithms (NIAs) have shown efficiency to solve many complex real-world optimisation problems. The efficiency of NIAs is measured by their ability to find adequate results within a reasonable amount of time, rather than an ability to guarantee the optimal solution. This paper presents a solution for lower order system modelling using spider monkey optimisation (SMO) algorithm to obtain a better approximation for lower order systems and reflects almost original higher order system's characteristics. Further, a local search strategy, namely, power law-based local search is incorporated with SMO. The proposed strategy is named as power law-based local search in SMO (PLSMO). The efficiency, accuracy and reliability of the proposed algorithm is tested over 20 well-known benchmark functions. Then, the PLSMO algorithm is applied to solve the lower order system modelling problem. Journal: International Journal of Systems Science Pages: 150-160 Issue: 1 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1165895 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1165895 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:150-160 Template-Type: ReDIF-Article 1.0 Author-Name: Lu Bai Author-X-Name-First: Lu Author-X-Name-Last: Bai Author-Name: Fei Chen Author-X-Name-First: Fei Author-X-Name-Last: Chen Author-Name: Weiyao Lan Author-X-Name-First: Weiyao Author-X-Name-Last: Lan Title: Distributed tracking of a non-minimally rigid formation for multi-agent systems Abstract: The objective of this paper is to design distributed control algorithms for a multi-agent system such that a rigid formation can be achieved asymptotically and the agents can finally move with a desired velocity. In particular, it is assumed that the formation is not necessarily minimally rigid, and the desired velocity is available to only a subset of the agents. Estimators are constructed for the agents to estimate the desired velocity, which are further used to design the control inputs of the agents. The proposed control algorithms consist of a formation acquisition term which depends on a potential function and the rigidity matrix, and a velocity estimation term. To deal with non-minimal rigidity, the centre manifold theorem is exploited to prove the stability of the resulting system. Simulation results are also provided to show the effectiveness of the proposed control algorithms. Journal: International Journal of Systems Science Pages: 161-170 Issue: 1 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1165896 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1165896 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:161-170 Template-Type: ReDIF-Article 1.0 Author-Name: Tiechao Wang Author-X-Name-First: Tiechao Author-X-Name-Last: Wang Author-Name: Shaocheng Tong Author-X-Name-First: Shaocheng Author-X-Name-Last: Tong Title: Decentralised output-feedback control design for switched fuzzy large-scale systems Abstract: This paper investigates the output-feedback control design problem for a class of switched Takagi–Sugeno fuzzy large-scale systems with non-measurable premise variables. The considered fuzzy large-scale systems consist of several interconnected subsystems with different switching modes and there exists the asynchronous switching between the system switching modes and the controller switching modes. A decentralised state observer is proposed to estimate the unmeasured states, and a new output-feedback decentralised control scheme is developed by using the state observers and the switching functions. Based on the theory of Lyapunov stability and average dwell-time methods, the sufficient conditions of ensuring the switched control system stability are proposed and proved, which are formulated in the form of linear matrix inequalities. An applicable example is provided to show the effectiveness of the obtained theoretical results. Journal: International Journal of Systems Science Pages: 171-181 Issue: 1 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1165897 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1165897 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:171-181 Template-Type: ReDIF-Article 1.0 Author-Name: Mahdi Heydari Author-X-Name-First: Mahdi Author-X-Name-Last: Heydari Author-Name: Michael A. Demetriou Author-X-Name-First: Michael A. Author-X-Name-Last: Demetriou Title: Adaptive distributed unknown input observers for interconnected linear descriptor systems Abstract: We propose an adaptive distributed algorithm for distributed observers of linear time-invariant descriptor systems. In the proposed algorithm, the interconnection gains of the resulting distributed unknown input observers are adjusted adaptively and the adaptation law is obtained by a Lyapunov-redesign approach. The scheme uses adaptive gains for each pairwise difference in the coupling term, which are adjusted in proportion to the pairwise differences of the state estimates. A special case where a single adaptive gain is used in each node to uniformly penalise all pairwise differences of the state estimates in the coupling term is also presented. Stability of the proposed schemes is proved and it is shown to be independent of the graph topology of the network. A numerical example is provided to illustrate the performance of the proposed adaptive distributed unknown input observers algorithm and to compare it with the non-interacting (local) unknown input observers. Journal: International Journal of Systems Science Pages: 182-189 Issue: 1 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1173264 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1173264 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:182-189 Template-Type: ReDIF-Article 1.0 Author-Name: W. H. Yue Author-X-Name-First: W. H. Author-X-Name-Last: Yue Author-Name: V. Pano Author-X-Name-First: V. Author-X-Name-Last: Pano Author-Name: P. R. Ouyang Author-X-Name-First: P. R. Author-X-Name-Last: Ouyang Author-Name: Y. Q. Hu Author-X-Name-First: Y. Q. Author-X-Name-Last: Hu Title: Model-independent position domain sliding mode control for contour tracking of robotic manipulator Abstract: In this paper, a new position domain feedback type sliding mode control (PDC-SMC) law is proposed for contour tracking control of multi-DOF (degree of freedom) nonlinear robotic manipulators focusing on the improvement of contour tracking performances. One feature of the proposed control law is its model-independent control scheme that can avoid calculation of the feedforward part in a standard SMC. The new control law takes the advantages of the high contour tracking performance of PD type feedback position domain control (PDC) and the robustness of SMC. Stability analysis is performed using the Lyapunov stability theory, and simulation studies are conducted to verify the effectiveness of the developed PDC-SMC control system. In addition, the effects of control parameters of the SMC on system performances are studied. Journal: International Journal of Systems Science Pages: 190-199 Issue: 1 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1173742 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1173742 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:190-199 Template-Type: ReDIF-Article 1.0 Author-Name: Jorge Silva Author-X-Name-First: Jorge Author-X-Name-Last: Silva Author-Name: João Sequeira Author-X-Name-First: João Author-X-Name-Last: Sequeira Author-Name: Cristina Santos Author-X-Name-First: Cristina Author-X-Name-Last: Santos Title: A robot control architecture supported on contraction theory Abstract: This paper proposes fundamentals for stability and success of a global system composed by a mobile robot, a real environment and a navigation architecture with time constraints. Contraction theory is a typical framework that provides tools and properties to prove the stability and convergence of the global system to a unique fixed point that identifies the mission success. A stability indicator based on the combination contraction property is developed to identify the mission success as a stability measure. The architecture is fully designed through C1 nonlinear dynamical systems and feedthrough maps, which makes it amenable for contraction analysis. Experiments in a realistic and uncontrolled environment are realised to verify if inherent perturbations of the sensory information and of the environment affect the stability and success of the global system. Journal: International Journal of Systems Science Pages: 209-224 Issue: 1 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1184355 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1184355 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:209-224 Template-Type: ReDIF-Article 1.0 Author-Name: Xia Xiao Author-X-Name-First: Xia Author-X-Name-Last: Xiao Author-Name: Xiaowu Mu Author-X-Name-First: Xiaowu Author-X-Name-Last: Mu Title: Consensus of linear multi-agent systems with communication delays by using the information of second-order neighbours under intermittent communication topology Abstract: This paper investigates the consensus of identical linear multi-agent systems with aperiodic intermittent communication topology by using the information of second-order neighbours (two-hop neighbourhood). The protocols based on two-hop neighbourhood information and intermittent communication topology are designed, under which consensus is reached. If the communication rate is larger than the corresponding threshold value, the networks will accelerate consensus by using two-hop neighbourhood information. By means of switching systems theory and Lyapunov–Razumikhin theorem, consensus of multi-agent systems with communication delays and intermittent communication topology is reached by two-hop neighbourhood information. Finally, simulation examples are provided to show the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 200-208 Issue: 1 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1218571 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1218571 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:1:p:200-208 Template-Type: ReDIF-Article 1.0 Author-Name: Yougao Fan Author-X-Name-First: Yougao Author-X-Name-Last: Fan Author-Name: Mao Wang Author-X-Name-First: Mao Author-X-Name-Last: Wang Author-Name: Guangtong Liu Author-X-Name-First: Guangtong Author-X-Name-Last: Liu Author-Name: Bin Zhang Author-X-Name-First: Bin Author-X-Name-Last: Zhang Author-Name: Libin Ma Author-X-Name-First: Libin Author-X-Name-Last: Ma Title: Quasi-time-dependent stabilisation for 2-D switched systems with persistent dwell-time Abstract: This paper is concerned with the stabilisation problem for a class of discrete-time two-dimensional (2-D) switched systems with persistent dwell-time (PDT). The systems are described by the well-known Fornasini-Marchesini local state space (FMLSS) model. The concept of PDT switching signals is introduced herein, and each stage consists of a dwell-time period in which no switching occurs and a persistent period an arbitrary switching occurs. Based on a proper Lyapunov function suitable to the PDT switching, which is both quasi-time-dependent (QTD) and mode-dependent, the QTD state feedback controller is designed to ensure the closed-loop system is exponentially stable. Compared with time-independent criteria, new results are more general and flexible, and have less conservativeness. Finally, two examples are provided to show the effectiveness and potential of our proposed methods. Journal: International Journal of Systems Science Pages: 2885-2897 Issue: 16 Volume: 50 Year: 2019 Month: 12 X-DOI: 10.1080/00207721.2019.1691279 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1691279 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:16:p:2885-2897 Template-Type: ReDIF-Article 1.0 Author-Name: Y. Peretz Author-X-Name-First: Y. Author-X-Name-Last: Peretz Author-Name: W. Wu Author-X-Name-First: W. Author-X-Name-Last: Wu Title: A randomised algorithm for computing static-output-feedbacks for large-scale systems Abstract: A randomised algorithm is proposed for computing globally optimal static-output-feedbacks for large-scale systems. The algorithm is based on the Ray-Shooting Method and involves some heuristics to accelerate the search. We also improve the basic Ray-Shooting Algorithm and make the search in the controller parameter-space (which generally, is much more smaller than the certificate parameter-space), thus enabling its efficient use for large-scale systems. Journal: International Journal of Systems Science Pages: 2898-2917 Issue: 16 Volume: 50 Year: 2019 Month: 12 X-DOI: 10.1080/00207721.2019.1691280 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1691280 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:16:p:2898-2917 Template-Type: ReDIF-Article 1.0 Author-Name: Xingyu Zhou Author-X-Name-First: Xingyu Author-X-Name-Last: Zhou Author-Name: Haoping Wang Author-X-Name-First: Haoping Author-X-Name-Last: Wang Author-Name: Xisheng Dai Author-X-Name-First: Xisheng Author-X-Name-Last: Dai Author-Name: Senping Tian Author-X-Name-First: Senping Author-X-Name-Last: Tian Title: Iterative learning identification for a class of parabolic distributed parameter systems Abstract: This paper presents an iterative learning identification scheme for a class of parabolic distributed parameter systems with unknown curved surfaces. The identification design method is proposed on the basis of the iterative learning concept. Initially, a new nonlinear learning identification law based on vector-plot analysis is developed to estimate the curved surface with spatial-temporal varying iteratively. Subsequently, through theoretical analysis, the sufficient convergence conditions for identification error in the sense of $\mathbf {L}_2 $L2 norm is manifested. Furthermore, a high-order P-type learning law is applied to identifying the curved surface in order to compare the convergent rate with the aforesaid identification law. Finally, simulation results on a specific numerical example and the temperature profile of a catalytic rod confirm that the proposed learning identification laws is effective. Journal: International Journal of Systems Science Pages: 2918-2934 Issue: 16 Volume: 50 Year: 2019 Month: 12 X-DOI: 10.1080/00207721.2019.1691281 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1691281 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:16:p:2918-2934 Template-Type: ReDIF-Article 1.0 Author-Name: Jason Sheng-Hong Tsai Author-X-Name-First: Jason Sheng-Hong Author-X-Name-Last: Tsai Author-Name: Li-Ya Kuo Author-X-Name-First: Li-Ya Author-X-Name-Last: Kuo Author-Name: Shu-Mei Guo Author-X-Name-First: Shu-Mei Author-X-Name-Last: Guo Author-Name: Leang-San Shieh Author-X-Name-First: Leang-San Author-X-Name-Last: Shieh Author-Name: Jose I. Canelon Author-X-Name-First: Jose I. Author-X-Name-Last: Canelon Title: Application of the observer/Kalman filter identification method to unknown time-delay disturbed systems and the associated optimal digital tracker design Abstract: Many practical systems are described as unknown multi-input-multi-output (MIMO) time-delay systems with unknown disturbances. The properties and performance of multi-time-delay MIMO systems are quite different compared to delay-free systems, in particular if the time-delay is long. In addition, for practical implementation digital controllers are often required instead of analog controllers. This paper presents: (i) an overview of the mathematical modelling based on the observer/Kalman filter identification (OKID) method, with some insight on known/unknown MIMO systems; (ii) a study of the pole-zero maps of the identified delay-free system and the known/unknown time-delay system for various sampling periods; (iii) a development of the explicit pole-zero map of the sampled-data MIMO neutral system with multiple discrete and disturbed time delays; (iv) an utilisation of the OKID method for known/unknown time-delay sampled-data MIMO systems with unknown disturbances; (v) an extension of the existing equivalent-input-disturbance (EID) estimator, to determine a robust tracker for the unknown time-delay system with unknown disturbances; and (vi) an investigation on the unknown time-delay system with stable or unstable zeros to determine which traditional or customised tracker can be applied. In addition, simulation studies are performed on the relationship between pole-zero maps and delay times. Journal: International Journal of Systems Science Pages: 2935-2961 Issue: 16 Volume: 50 Year: 2019 Month: 12 X-DOI: 10.1080/00207721.2019.1691282 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1691282 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:16:p:2935-2961 Template-Type: ReDIF-Article 1.0 Author-Name: Junbo Tan Author-X-Name-First: Junbo Author-X-Name-Last: Tan Author-Name: Feng Xu Author-X-Name-First: Feng Author-X-Name-Last: Xu Author-Name: Xueqian Wang Author-X-Name-First: Xueqian Author-X-Name-Last: Wang Author-Name: Jun Yang Author-X-Name-First: Jun Author-X-Name-Last: Yang Author-Name: Bin Liang Author-X-Name-First: Bin Author-X-Name-Last: Liang Title: Invariant set-based robust fault detection and optimal fault estimation for discrete-time LPV systems with bounded uncertainties Abstract: This paper proposes an invariant set-based robust fault detection (FD) and optimal fault estimation (FE) method for discrete-time linear parameter varying (LPV) systems with bounded uncertainties. Firstly, a novel invariant-set construction method for discrete-time LPV systems is proposed if and only if the system is poly-quadratically stable, which need not satisfy the condition that there must exist a common quadratic Lyapunov function for all vertex matrices of the system compared to the traditional invariant-set construction methods. Furthermore, by using a shrinking procedure, we provide minimal robust positively invariant (mRPI) set approximations that are always positively invariant at each step of iteration and allow a priori desired precision to obtain a high sensitivity of FD. Owing to the existence of invariant set-based FD phase, the assumption that the initial faults should be bounded by a given set can be avoided for FE. We compute an optimal parametric matrix gain by minimising the Frobenius norm-based size of the corresponding FE set to obtain the optimal FE performance. Theoretically, any trajectory in the FE tube can be chosen as a specific-value estimation for the real fault signals. Finally, a vehicle dynamics system is used to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2962-2978 Issue: 16 Volume: 50 Year: 2019 Month: 12 X-DOI: 10.1080/00207721.2019.1691283 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1691283 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:16:p:2962-2978 Template-Type: ReDIF-Article 1.0 Author-Name: Nallappan Gunasekaran Author-X-Name-First: Nallappan Author-X-Name-Last: Gunasekaran Author-Name: Ramasamy Saravanakumar Author-X-Name-First: Ramasamy Author-X-Name-Last: Saravanakumar Author-Name: M. Syed Ali Author-X-Name-First: M. Author-X-Name-Last: Syed Ali Author-Name: Quanxin Zhu Author-X-Name-First: Quanxin Author-X-Name-Last: Zhu Title: Exponential sampled-data control for T–S fuzzy systems: application to Chua's circuit Abstract: This study deals with the chaotic phenomenon of nonlinear Chua's circuit for power generator systems. Takagi–Sugeno (T–S) fuzzy model of a nonlinear system is established. By constructing a suitable Lyapunov functional, exponential stability conditions are obtained for fuzzy systems. Based on the sampled-data control theory, extreme sensitivity is visualised in the state trajectory depending on the initial conditions and sampled-data fuzzy controllers are designed in the form of linear matrix inequality (LMI). Finally, some numerical simulation results are shown that the sampled-data fuzzy control system adopts a well-designed methodology. Journal: International Journal of Systems Science Pages: 2979-2992 Issue: 16 Volume: 50 Year: 2019 Month: 12 X-DOI: 10.1080/00207721.2019.1691753 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1691753 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:16:p:2979-2992 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaolei Li Author-X-Name-First: Xiaolei Author-X-Name-Last: Li Author-Name: Meng Joo Er Author-X-Name-First: Meng Joo Author-X-Name-Last: Er Author-Name: Guanghong Yang Author-X-Name-First: Guanghong Author-X-Name-Last: Yang Author-Name: Ning Wang Author-X-Name-First: Ning Author-X-Name-Last: Wang Title: Bearing-based formation manoeuvre control of nonholonomic multi-agent systems Abstract: This paper concerns on the bearing-based leader–follower formation manoeuvre control problem for two- (2D) and three-dimensional (3D) multi-agent systems with nonholonomic constraint. The target formation is defined by relative-bearing measurements, which, for example, can be obtained from onboard cameras. The contributions of this paper are twofold. Firstly, a distributed formation manoeuvre control law is proposed for 2D nonholonomic agents according to the inter-bearing measurement. The multi-agent systems can achieve the desired formation which is defined by the bearings information. The formation manoeuvre can be achieved by steering at least two leaders. Secondly, the control law is nontrivially extended to 3D nonholonomic multi-agents systems. The leader–follower formation tracking problem can also be solved by the proposed proportional-integral control scheme. Simulation results for 2D and 3D nonholonomic multi-agents systems are presented. Experiments that used ground mobile robots verify the effectiveness of the proposed control laws. Journal: International Journal of Systems Science Pages: 2993-3002 Issue: 16 Volume: 50 Year: 2019 Month: 12 X-DOI: 10.1080/00207721.2019.1692094 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1692094 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:16:p:2993-3002 Template-Type: ReDIF-Article 1.0 Author-Name: Liyao Hu Author-X-Name-First: Liyao Author-X-Name-Last: Hu Author-Name: Xiaohua Li Author-X-Name-First: Xiaohua Author-X-Name-Last: Li Title: Decentralised adaptive neural connectively finite-time control for a class of p-normal form large-scale nonlinear systems Abstract: This paper focuses on the decentralised adaptive finite-time connective stabilisation problem for a class of p-normal form large-scale nonlinear systems at the first. By combining the adding a power integrator technique, the neural network technique and the finite-time Lyapunov stability theory, the decentralised adaptive neural finite-time controllers are designed, which can guarantee the large-scale system is finite-time connectively stable. In order to avoid the effect of neural network estimation error on satisfying the finite-time criteria, the combination vectors are composed by the weights and the estimation errors of the neural networks. The maximal upper bounds of the combination vector norms are taken as the adaptive parameters. Because of employing neural networks, the restriction of the unknown nonlinear terms in some literature about finite-time control is relaxed. Two simulation examples are provided to prove the effectiveness and advantage of the proposed control method. Journal: International Journal of Systems Science Pages: 3003-3021 Issue: 16 Volume: 50 Year: 2019 Month: 12 X-DOI: 10.1080/00207721.2019.1692095 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1692095 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:16:p:3003-3021 Template-Type: ReDIF-Article 1.0 Author-Name: Shanshan Hong Author-X-Name-First: Shanshan Author-X-Name-Last: Hong Author-Name: Yu Zhang Author-X-Name-First: Yu Author-X-Name-Last: Zhang Title: Stability of switched positive linear delay systems with mixed impulses Abstract: This paper investigates the global exponential stability of both continuous-time and discrete-time switched positive linear delay systems with the coexistence of destabilising and stabilising impulses. Based on the comparison principle, with the help of discretised multiple linear copositive Lyapunov functions, some delay-independent stability results are obtained. It should be noted that it is the first time that discrete-time switched delay systems with asynchronous switching and impulses are considered, and the switching effect can be stabilising in the obtained results of this paper. Some numerical examples are provided to demonstrate the effectiveness and superiority of the derived results. Journal: International Journal of Systems Science Pages: 3022-3037 Issue: 16 Volume: 50 Year: 2019 Month: 12 X-DOI: 10.1080/00207721.2019.1692096 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1692096 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:16:p:3022-3037 Template-Type: ReDIF-Article 1.0 Author-Name: Feng-Hsiag Hsiao Author-X-Name-First: Feng-Hsiag Author-X-Name-Last: Hsiao Title: Optimal fuzzy control of exponential synchronisation via genetic algorithm Abstract: In this study, a novel approach via GA-based fuzzy control is proposed to realize the exponential optimal H∞ synchronisation of MTDC systems. A robustness design of model-based fuzzy control is first presented to overcome the effect of modelling errors between the MTDC systems and T-S fuzzy models. Next, a delay-dependent exponential stability criterion is derived in terms of Lyapunov's direct method to guarantee that the trajectories of the slave system can approach those of the master system. Subsequently, the stability conditions of this criterion are reformulated into LMIs. According to the LMIs, a fuzzy controller is then synthesised to exponentially stabilise the error systems. Moreover, the capability of GA in random search for near-optimal solutions, the lower and upper bounds of the search space based on the feedback gains via LMI approach can be set so that the GA will seek better feedback gains of fuzzy controllers to speed up the synchronisation. Additionally, an IGA was proposed to overcome both the shortcomings of premature convergence of GA and local search. According to the IGA, a fuzzy controller is synthesised not only to realise the exponential synchronisation but also to achieve the optimal H∞ performance by minimising the disturbance attenuation level. Journal: International Journal of Systems Science Pages: 1569-1580 Issue: 8 Volume: 48 Year: 2017 Month: 6 X-DOI: 10.1080/00207721.2016.1275062 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1275062 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:8:p:1569-1580 Template-Type: ReDIF-Article 1.0 Author-Name: Zhan Su Author-X-Name-First: Zhan Author-X-Name-Last: Su Author-Name: Jun Ai Author-X-Name-First: Jun Author-X-Name-Last: Ai Author-Name: Qingling Zhang Author-X-Name-First: Qingling Author-X-Name-Last: Zhang Author-Name: Naixue Xiong Author-X-Name-First: Naixue Author-X-Name-Last: Xiong Title: An improved robust finite-time dissipative control for uncertain fuzzy descriptor systems with disturbance Abstract: In this paper, finite-time robust control problems are investigated for Takagi– Sugeno fuzzy descriptor systems. We provide a novel sufficient condition for robust finite-time admissibility of Takagi– Sugeno fuzzy descriptor systems, involving a group of coupled linear matrix inequalities (LMIs), which guarantee dissipative performance, reduce conservativeness and improve LMIs forms. Second, corresponding controllers are developed based on both parallel distributed compensation and non-parallel distributed compensation. Simulations demonstrate the effectiveness of the proposed control approach. Journal: International Journal of Systems Science Pages: 1581-1596 Issue: 8 Volume: 48 Year: 2017 Month: 6 X-DOI: 10.1080/00207721.2016.1277405 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1277405 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:8:p:1581-1596 Template-Type: ReDIF-Article 1.0 Author-Name: Fazhan Tao Author-X-Name-First: Fazhan Author-X-Name-Last: Tao Author-Name: Mingcong Deng Author-X-Name-First: Mingcong Author-X-Name-Last: Deng Title: Robust stability of MIMO nonlinear uncertain systems using operator-based right coprime factorisation Abstract: In this paper, a class of multi-input–multi-output (MIMO) nonlinear systems with uncertainties is considered by using operator-based right coprime factorisation. First, based on proposed quotient operators, coupling effect of the MIMO nonlinear systems is discussed. Second, based on the operator-based right coprime factorisation approach, sufficient conditions for guaranteeing robust stability of the MIMO nonlinear systems with uncertainties are proposed by using a new unimodular operator. Finally, a simulation example is shown to illustrate the proposed design scheme for the MIMO nonlinear systems with uncertainties. Journal: International Journal of Systems Science Pages: 1597-1606 Issue: 8 Volume: 48 Year: 2017 Month: 6 X-DOI: 10.1080/00207721.2016.1277406 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1277406 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:8:p:1597-1606 Template-Type: ReDIF-Article 1.0 Author-Name: Xi Liu Author-X-Name-First: Xi Author-X-Name-Last: Liu Author-Name: Badong Chen Author-X-Name-First: Badong Author-X-Name-Last: Chen Author-Name: Bin Xu Author-X-Name-First: Bin Author-X-Name-Last: Xu Author-Name: Zongze Wu Author-X-Name-First: Zongze Author-X-Name-Last: Wu Author-Name: Paul Honeine Author-X-Name-First: Paul Author-X-Name-Last: Honeine Title: Maximum correntropy unscented filter Abstract: The unscented transformation (UT) is an efficient method to solve the state estimation problem for a non-linear dynamic system, utilising a derivative-free higher-order approximation by approximating a Gaussian distribution rather than approximating a non-linear function. Applying the UT to a Kalman filter type estimator leads to the well-known unscented Kalman filter (UKF). Although the UKF works very well in Gaussian noises, its performance may deteriorate significantly when the noises are non-Gaussian, especially when the system is disturbed by some heavy-tailed impulsive noises. To improve the robustness of the UKF against impulsive noises, a new filter for non-linear systems is proposed in this work, namely the maximum correntropy unscented filter (MCUF). In MCUF, the UT is applied to obtain the prior estimates of the state and covariance matrix, and a robust statistical linearisation regression based on the maximum correntropy criterion is then used to obtain the posterior estimates of the state and covariance matrix. The satisfying performance of the new algorithm is confirmed by two illustrative examples. Journal: International Journal of Systems Science Pages: 1607-1615 Issue: 8 Volume: 48 Year: 2017 Month: 6 X-DOI: 10.1080/00207721.2016.1277407 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1277407 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:8:p:1607-1615 Template-Type: ReDIF-Article 1.0 Author-Name: S. Nagai Author-X-Name-First: S. Author-X-Name-Last: Nagai Author-Name: H. Oya Author-X-Name-First: H. Author-X-Name-Last: Oya Author-Name: T. Kubo Author-X-Name-First: T. Author-X-Name-Last: Kubo Author-Name: T. Matsuki Author-X-Name-First: T. Author-X-Name-Last: Matsuki Title: Decentralised variable gain robust controller design for a class of large-scale interconnected systems with mismatched uncertainties Abstract: In this paper, we propose an LMI-based design method of a decentralised variable gain robust controller for large-scale interconnected systems with mismatched uncertainties. The mismatched uncertainties under consideration are composed of the matched part and the mismatched one, and the proposed decentralised robust controller consists of a state feedback with a fixed gain and one with a variable gain tuned by parameter adjustment laws. Sufficient conditions for the existence of the proposed decentralised variable gain robust controller are given in terms of linear matrix inequalities (LMIs). Finally, a numerical example is illustrated to validate the proposed design procedure. Journal: International Journal of Systems Science Pages: 1616-1623 Issue: 8 Volume: 48 Year: 2017 Month: 6 X-DOI: 10.1080/00207721.2016.1277408 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1277408 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:8:p:1616-1623 Template-Type: ReDIF-Article 1.0 Author-Name: Yun Xu Author-X-Name-First: Yun Author-X-Name-Last: Xu Author-Name: Dong Shen Author-X-Name-First: Dong Author-X-Name-Last: Shen Author-Name: Youqing Wang Author-X-Name-First: Youqing Author-X-Name-Last: Wang Title: On interval tracking performance evaluation and practical varying sampling ILC Abstract: This paperconsiders the evaluation of interval tracking error for sampled control performance and an associated sampling technique to enhance the tracking performance. The upper bounds of the tracking error profile of arbitrary sample interval for both the linear system and nonlinear system are first given. A practical sampled-data iterative learning control with varying sampling rates is proposed to ensure a prior given tolerant tracking error. In this control strategy, the inter-sample behaviour is checked to determine which intervals are not satisfactory when the given tracking performance at-sample time instants is satisfied, and then the sampling frequency for such intervals is increased. Both at-sample and inter-sample tracking performance are satisfied after enough learning iterations. Two examples are simulated to demonstrate the effectiveness of the proposed sampling strategy. Journal: International Journal of Systems Science Pages: 1624-1634 Issue: 8 Volume: 48 Year: 2017 Month: 6 X-DOI: 10.1080/00207721.2016.1277409 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1277409 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:8:p:1624-1634 Template-Type: ReDIF-Article 1.0 Author-Name: M. Razi Author-X-Name-First: M. Author-X-Name-Last: Razi Author-Name: M. Haeri Author-X-Name-First: M. Author-X-Name-Last: Haeri Title: Efficient algorithms for online tracking of set points in robust model predictive control Abstract: This paper presents some computationally efficient algorithms for online tracking of set points in robust model predictive control context subject to state and input constraints. The nonlinear systems are represented by a linear model along with an additive nonlinear term which is locally Lipschitz. As an unstructured uncertainty, this term is replaced in the robust stability constraint by its Lipschitz coefficient. A scheduled control technique is employed to transfer the system to desired set points, given online, by designing local robust model predictive controllers. This scheme includes estimating the regions of feasibility and stability of the related equilibriums and online switching among the local controllers. The proposed optimisation problems for calculating the regions of feasibility and stability are defined as linear matrix inequalities that can be solved in polynomial time. The effectiveness of the proposed algorithms is illustrated by an example. Journal: International Journal of Systems Science Pages: 1635-1645 Issue: 8 Volume: 48 Year: 2017 Month: 6 X-DOI: 10.1080/00207721.2017.1280551 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1280551 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:8:p:1635-1645 Template-Type: ReDIF-Article 1.0 Author-Name: Joseph Chang Lun Chan Author-X-Name-First: Joseph Chang Lun Author-X-Name-Last: Chan Author-Name: Chee Pin Tan Author-X-Name-First: Chee Pin Author-X-Name-Last: Tan Author-Name: Hieu Trinh Author-X-Name-First: Hieu Author-X-Name-Last: Trinh Title: Robust fault reconstruction for a class of infinitely unobservable descriptor systems Abstract: This paper presents a robust fault reconstruction scheme for a class of infinitely unobservable descriptor systems using sliding-mode observers, which improves on previous work that do not consider robustness in fault reconstruction or are applicable only for infinitely observable systems. By removing certain states and treating them as unknown inputs, a reduced-order system that is infinitely observable and compatible with existing sliding-mode observer schemes is created. A sliding-mode observer is used to estimate the states of the reduced-order system and reconstruct the fault. The existence conditions for the scheme in terms of the original system matrices are investigated and presented. Linear matrix inequality techniques are used to minimise the effect of disturbances on the fault reconstruction. Finally, a simulation is carried out and the results verify the efficacy of the proposed scheme. Journal: International Journal of Systems Science Pages: 1646-1655 Issue: 8 Volume: 48 Year: 2017 Month: 6 X-DOI: 10.1080/00207721.2017.1280552 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1280552 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:8:p:1646-1655 Template-Type: ReDIF-Article 1.0 Author-Name: Ali Tavasoli Author-X-Name-First: Ali Author-X-Name-Last: Tavasoli Author-Name: Vali Enjilela Author-X-Name-First: Vali Author-X-Name-Last: Enjilela Title: Active disturbance rejection and Lyapunov redesign approaches for robust boundary control of plate vibration Abstract: In this paper, two approaches, namely active disturbance rejection control (ADRC) and Lyapunov redesign, are utilised to stabilise the vibration of a boundary-controlled flexible rectangular plate in the presence of exogenous disturbances. Based on ADRC, an estimation/cancellation strategy is applied where disturbance is estimated online by an extended state observer (ESO) and cancelled by injecting the output of ESO into the feedback loop. By the Lyapunov redesign, on the other hand, the control law intended for a nominal system is redesigned by adding a (discontinuous) control component that makes the system robust to large uncertainties. Both control algorithms are designed directly based on partial differential equation model of the plate so that spillover instabilities that are a result of model truncation are avoided. The established control schemes are able to stabilise the plate vibration by actuating and sensing only along the plate boundary while accounting for the dynamical effects of Gaussian curvature integral, in-plane membrane force and actuator mass. The stability of each control approach is proven using Lyapunov analysis. The efficacy of each proposed control is illustrated by simulation results. Journal: International Journal of Systems Science Pages: 1656-1670 Issue: 8 Volume: 48 Year: 2017 Month: 6 X-DOI: 10.1080/00207721.2017.1280553 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1280553 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:8:p:1656-1670 Template-Type: ReDIF-Article 1.0 Author-Name: Moina Ajmeri Author-X-Name-First: Moina Author-X-Name-Last: Ajmeri Author-Name: Ahmad Ali Author-X-Name-First: Ahmad Author-X-Name-Last: Ali Title: Analytical design of modified Smith predictor for unstable second-order processes with time delay Abstract: In this paper, a modified Smith predictor using three controllers, namely, stabilising (Gc), set-point tracking (Gc1), and load disturbance rejection (Gc2) controllers is proposed for second-order unstable processes with time delay. Controllers of the proposed structure are tuned using direct synthesis approach as this method enables the user to achieve a trade-off between the performance and robustness by adjusting a single design parameter. Furthermore, suitable values of the tuning parameters are recommended after studying their effect on the closed-loop performance and robustness. This is the main advantage of the proposed work over other recently published manuscripts, where authors provide only suitable ranges for the tuning parameters in spite of giving their suitable values. Simulation studies show that the proposed method results in satisfactory performance and improved robustness as compared to the recently reported control schemes. It is observed that the proposed scheme is able to work in the noisy environment also. Journal: International Journal of Systems Science Pages: 1671-1681 Issue: 8 Volume: 48 Year: 2017 Month: 6 X-DOI: 10.1080/00207721.2017.1280554 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1280554 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:8:p:1671-1681 Template-Type: ReDIF-Article 1.0 Author-Name: Guoqing Zhang Author-X-Name-First: Guoqing Author-X-Name-Last: Zhang Author-Name: Zhijian Sun Author-X-Name-First: Zhijian Author-X-Name-Last: Sun Author-Name: Weidong Zhang Author-X-Name-First: Weidong Author-X-Name-Last: Zhang Author-Name: Lei Qiao Author-X-Name-First: Lei Author-X-Name-Last: Qiao Title: MLP-based adaptive neural control of nonlinear time-delay systems with the unknown hysteresis Abstract: In this note, the authors study the tracking problem for uncertain nonlinear time-delay systems with unknown non-smooth hysteresis described by the generalised Prandtl–Ishlinskii (P-I) model. A minimal learning parameters (MLP)-based adaptive neural algorithm is developed by fusion of the Lyapunov–Krasovskii functional, dynamic surface control technique and MLP approach without constructing a hysteresis inverse. Unlike the existing results, the main innovation can be summarised as that the proposed algorithm requires less knowledge of the plant and independent of the P-I hysteresis operator, i.e. the hysteresis effect is unknown for the control design. Thus, the outstanding advantage of the corresponding scheme is that the control law is with a concise form and easy to implement in practice due to less computational burden. The proposed controller guarantees that the tracking error converges to a small neighbourhood of zero and all states of the closed-loop system are stabilised. A simulation example demonstrates the effectiveness of the proposed scheme. Journal: International Journal of Systems Science Pages: 1682-1691 Issue: 8 Volume: 48 Year: 2017 Month: 6 X-DOI: 10.1080/00207721.2017.1280555 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1280555 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:8:p:1682-1691 Template-Type: ReDIF-Article 1.0 Author-Name: Meng-Meng Jiang Author-X-Name-First: Meng-Meng Author-X-Name-Last: Jiang Author-Name: Kemei Zhang Author-X-Name-First: Kemei Author-X-Name-Last: Zhang Author-Name: Xue-Jun Xie Author-X-Name-First: Xue-Jun Author-X-Name-Last: Xie Title: Output feedback stabilisation of high-order nonlinear feedforward time-delay systems Abstract: This paper studies the output feedback control problem for high-order nonlinear feedforward time-delay systems. Systems become more general due to both low-order and high-order in nonlinearities taking any value in certain intervals. By constructing the new Lyapunov–Krasovskii functional and reduced-order observer, based on the homogeneous domination theory, an output feedback controller is developed to guarantee high-order nonlinear feedforward time-delay systems globally asymptotically stable. A simulation example demonstrates the theoretical result. Journal: International Journal of Systems Science Pages: 1692-1707 Issue: 8 Volume: 48 Year: 2017 Month: 6 X-DOI: 10.1080/00207721.2017.1280556 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1280556 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:8:p:1692-1707 Template-Type: ReDIF-Article 1.0 Author-Name: Hui Li Author-X-Name-First: Hui Author-X-Name-Last: Li Author-Name: Fuqiang You Author-X-Name-First: Fuqiang Author-X-Name-Last: You Author-Name: Fuli Wang Author-X-Name-First: Fuli Author-X-Name-Last: Wang Author-Name: Shouping Guan Author-X-Name-First: Shouping Author-X-Name-Last: Guan Title: Robust fast adaptive fault estimation and tolerant control for T-S fuzzy systems with interval time-varying delay Abstract: This paper studies the problem of fault estimation (FE) and the active fault tolerant control (FTC) for Takagi–Sugeno (T-S) fuzzy systems with interval time-varying delay and norm-bounded external disturbance. Based on the fast adaptive fault estimation (FAFE) algorithm, our attention focuses on designing an adaptive observer-based controller to guarantee the filtering error system to be asymptotically stable and satisfy theH∞ performance index. By constructing a new Lyapunov–Krasovskii functional including the information of the lower and upper delay bounds, the sufficient delay-dependent conditions have been established to guarantee the existence of adaptive observer-based controller in terms of linear matrix inequalities (LMIs). Compared with the constant delay and time-varying delay, the interval time-varying delay is the less conservative form. Furthermore, we make full use of the information of the delay and no terms are ignored when the stability of the system is analysed. In addition, the results for the systems with time-varying structured uncertainties are established. The results of the active FTC are showed in terms of LMIs. Finally, two examples are given to verify the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1708-1730 Issue: 8 Volume: 48 Year: 2017 Month: 6 X-DOI: 10.1080/00207721.2017.1282057 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1282057 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:8:p:1708-1730 Template-Type: ReDIF-Article 1.0 Author-Name: Jingying Li Author-X-Name-First: Jingying Author-X-Name-Last: Li Author-Name: Xianlin Huang Author-X-Name-First: Xianlin Author-X-Name-Last: Huang Author-Name: Zhengchao Li Author-X-Name-First: Zhengchao Author-X-Name-Last: Li Title: Extended dissipative filtering of fuzzy systems with time-varying delay under imperfect premise matching Abstract: This paper investigates the extended dissipative filter design problems for continuous-time fuzzy systems with time-varying delays under imperfect premise variables based on a unified performance index−extended dissipative. Attention is focused on solving the H∞, L2 − L∞, passive and dissipative filtering problems for fuzzy systems with time-varying delays under this unified framework. Based on the unified performance index, a new delay-dependent filter design approach in terms of linear matrix inequalities is obtained by employing Lyapunov–Krasovskii functional method together with a novel efficient integral inequality. The designed filter can guarantee the filtering error system satisfy the prescribed H∞, L2 − L∞, passive and dissipative performance by tuning the weighting matrices in the conditions. Moreover, in this paper, the fuzzy filter does not need to share the same membership function with fuzzy model, which can enhance design flexibility and robust property of the fuzzy filter system. Finally, two examples are provided to illustrate the effectiveness and significant improvement of the method proposed in this paper. Journal: International Journal of Systems Science Pages: 1731-1743 Issue: 8 Volume: 48 Year: 2017 Month: 6 X-DOI: 10.1080/00207721.2017.1282058 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1282058 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:8:p:1731-1743 Template-Type: ReDIF-Article 1.0 Author-Name: Lanning Wang Author-X-Name-First: Lanning Author-X-Name-Last: Wang Author-Name: Weimin Chen Author-X-Name-First: Weimin Author-X-Name-Last: Chen Author-Name: Lizhen Li Author-X-Name-First: Lizhen Author-X-Name-Last: Li Title: Dissipative stability analysis and control of two-dimensional Fornasini–Marchesini local state-space model Abstract: This paper is concerned with the problems of dissipative stability analysis and control of the two-dimensional (2-D) Fornasini–Marchesini local state-space (FM LSS) model. Based on the characteristics of the system model, a novel definition of 2-D FM LSS (Q, S, R)-α-dissipativity is given first, and then a sufficient condition in terms of linear matrix inequality (LMI) is proposed to guarantee the asymptotical stability and 2-D (Q, S, R)-α-dissipativity of the systems. As its special cases, 2-D passivity performance and 2-D H∞ performance are also discussed. Furthermore, by use of this dissipative stability condition and projection lemma technique, 2-D (Q, S, R)-α-dissipative state-feedback control problem is solved as well. Finally, a numerical example is given to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1744-1751 Issue: 8 Volume: 48 Year: 2017 Month: 6 X-DOI: 10.1080/00207721.2017.1282059 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1282059 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:8:p:1744-1751 Template-Type: ReDIF-Article 1.0 Author-Name: R. Samidurai Author-X-Name-First: R. Author-X-Name-Last: Samidurai Author-Name: S. Rajavel Author-X-Name-First: S. Author-X-Name-Last: Rajavel Author-Name: Jinde Cao Author-X-Name-First: Jinde Author-X-Name-Last: Cao Author-Name: Ahmad Alsaedi Author-X-Name-First: Ahmad Author-X-Name-Last: Alsaedi Author-Name: Fuad Alsaadi Author-X-Name-First: Fuad Author-X-Name-Last: Alsaadi Author-Name: Bashir Ahmad Author-X-Name-First: Bashir Author-X-Name-Last: Ahmad Title: Delay-partitioning approach to stability analysis of state estimation for neutral-type neural networks with both time-varying delays and leakage term via sampled-data control Abstract: This paper mainly focuses on further improved stability analysis of state estimation for neutral-type neural networks with both time-varying delays and leakage delay via sampled-data control by delay-partitioning approach. Instead of the continuous measurement, the sampled measurement is used to estimate the neuron states and a sampled-data estimator is constructed. To fully use the sawtooth structure characteristics of the sampling input delay, sufficient conditions are derived such that the system governing the error dynamics is asymptotically stable. The design method of the desired state estimator is proposed. We construct a suitable Lyapunov–Krasovskii functional (LKF) with triple and quadruple integral terms then by using a novel free-matrix-based integral inequality (FMII) including well-known integral inequalities as special cases. Moreover, the design procedure can be easily achieved by solving a set of linear matrix inequalities (LMIs), which can be easily facilitated by using the standard numerical software. Finally, two numerical examples are given to demonstrate the effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 1752-1765 Issue: 8 Volume: 48 Year: 2017 Month: 6 X-DOI: 10.1080/00207721.2017.1282060 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1282060 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:8:p:1752-1765 Template-Type: ReDIF-Article 1.0 Author-Name: Bo Li Author-X-Name-First: Bo Author-X-Name-Last: Li Author-Name: Yuanguo Zhu Author-X-Name-First: Yuanguo Author-X-Name-Last: Zhu Author-Name: Yuefen Chen Author-X-Name-First: Yuefen Author-X-Name-Last: Chen Title: The piecewise optimisation method for approximating uncertain optimal control problems under optimistic value criterion Abstract: In this paper, we introduce an approximate model and propose a piecewise optimisation method to simplify the expression of optimal control for an uncertain linear quadratic optimal control problem. First, we consider an optimal control problem of uncertain linear quadratic model under optimistic value criterion. Based on the equation of optimality, we deduce an analytic expression of optimal control. Then, we study an approximate model with control parameter and propose a piecewise optimisation method for solving the optimal parameter of such an approximate model. As an application, a four-wheel steering vehicle optimal control problem is given to show the utility of the proposed approximate model and the efficiency of the proposed piecewise optimisation method. Journal: International Journal of Systems Science Pages: 1766-1774 Issue: 8 Volume: 48 Year: 2017 Month: 6 X-DOI: 10.1080/00207721.2017.1282061 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1282061 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:8:p:1766-1774 Template-Type: ReDIF-Article 1.0 Author-Name: Hyoung Oh Kim Author-X-Name-First: Hyoung Oh Author-X-Name-Last: Kim Author-Name: Sung Jin Yoo Author-X-Name-First: Sung Jin Author-X-Name-Last: Yoo Title: Approximation-based disturbance observer approach for adaptive tracking of uncertain pure-feedback nonlinear systems with unmatched disturbances Abstract: This paper presents an approximation-based nonlinear disturbance observer (NDO) methodology for adaptive tracking of uncertain pure-feedback nonlinear systems with unmatched external disturbances. Compared with existing control results using NDO for nonlinear systems in lower-triangular form, the major contribution of this study is to develop an NDO-based control framework in the presence of non-affine nonlinearities and disturbances unmatched in the control input. An approximation-based NDO scheme is designed to attenuate the effect of compounded disturbance terms consisting of external disturbances, approximation errors and control coefficient nonlinearities. The function approximation technique using neural networks is employed to estimate the unknown nonlinearities derived from the recursive design procedure. Based on the designed NDO scheme, an adaptive dynamic surface control system is constructed to ensure that all signals of the closed-loop system are semi-globally uniformly ultimately bounded and the tracking error converges to a neighbourhood of the origin. Simulation examples including a mechanical system are provided to show the effectiveness of the proposed theoretical result. Journal: International Journal of Systems Science Pages: 1775-1786 Issue: 8 Volume: 48 Year: 2017 Month: 6 X-DOI: 10.1080/00207721.2017.1282062 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1282062 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:8:p:1775-1786 Template-Type: ReDIF-Article 1.0 Author-Name: Zi-Ming Wang Author-X-Name-First: Zi-Ming Author-X-Name-Last: Wang Author-Name: Airong Wei Author-X-Name-First: Airong Author-X-Name-Last: Wei Author-Name: Xudong Zhao Author-X-Name-First: Xudong Author-X-Name-Last: Zhao Author-Name: Jinge Yang Author-X-Name-First: Jinge Author-X-Name-Last: Yang Author-Name: Guangdeng Zong Author-X-Name-First: Guangdeng Author-X-Name-Last: Zong Title: Stabilisation and ℋ∞ control for switched port-controlled Hamiltonian systems with unstable modes and actuator saturation Abstract: In this paper, the problems of stabilisation and $\mathcal {H}_\infty $H∞ control are addressed for switched port-controlled Hamiltonian (SPCH) systems with unstable modes and actuator saturation (AS) via energy-based multiple Lyapunov functions methods. Firstly, by a switching state feedback controller with truncation-inequality techniques, the considered system is transformed into an unforced SPCH system with asymptotically stable, stable and unstable modes. Then, by developing an alternative switching law with slow/fast mode-dependent average dwell time (MDADT) switching scheme, new sufficient conditions are obtained for stabilisation of the SPCH system. Secondly, by designing a new switching $\mathcal {H}_\infty $H∞ feedback controller, revealing the characteristics of alternative switching signals and defining an indicative function, a new criterion for $\mathcal {H}_\infty $H∞ control of the SPCH systems with unstable modes and AS is achieved via the slow/fast MDADT switching scheme. Moreover, based on the obtained results and the indicative function, $\mathcal {H}_\infty $H∞ control conditions for the corresponding SPCH system are also derived under a slow MDADT switching scheme and a traditional average dwell time scheme, respectively. Finally, some numerical examples are given to verify the effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 1-19 Issue: 1 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1690071 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1690071 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:1:p:1-19 Template-Type: ReDIF-Article 1.0 Author-Name: Ji Zhang Author-X-Name-First: Ji Author-X-Name-Last: Zhang Author-Name: Senchun Chai Author-X-Name-First: Senchun Author-X-Name-Last: Chai Author-Name: Baihai Zhang Author-X-Name-First: Baihai Author-X-Name-Last: Zhang Title: Model-based event-triggered dynamic output predictive control of networked uncertain systems with random delay Abstract: This paper explores a dynamic output predictive control issue for networked systems with random delays and uncertainties. Based on the networked predictive control systems, an adaptive event-triggered dynamic output predictive control strategy is presented. And a networked delay compensator method is employed to compensate the communication delay actively. Furthermore, the problem we addressed can be transformed into the delay-dependent stability and stabilisation problem of networked control systems. Finally, the Lyapunov–Krasovskii functional approach and linear matrix inequality method are introduced to solve the expected solution. Both the results of numerical simulations and experiment are used to verify the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 20-34 Issue: 1 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1691751 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1691751 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:1:p:20-34 Template-Type: ReDIF-Article 1.0 Author-Name: L. T. Aguilar Author-X-Name-First: L. T. Author-X-Name-Last: Aguilar Author-Name: R. Ramírez-Villalobos Author-X-Name-First: R. Author-X-Name-Last: Ramírez-Villalobos Author-Name: A. Ferreira de Loza Author-X-Name-First: A. Author-X-Name-Last: Ferreira de Loza Author-Name: L. N. Coria Author-X-Name-First: L. N. Author-X-Name-Last: Coria Title: Robust sensorless speed tracking controller for surface-mount permanent magnet synchronous motors subjected to uncertain load variations Abstract: We address a solution of the sensorless high-speed tracking control problem for surface-mount permanent magnet synchronous motors under load torque variations. Since the only available measurements are the stator currents, the proposed scheme consists of a second-order sliding-mode observer interconnected with an $\mathcal {H}_{\infty } $H∞ controller. Thus, disregarding the use of additional sensors to measure the mechanical variables. The observer-controller interconnection is robust against uncertainties and unknown load torque variations. First, the observer estimates rotor angular position and speed variables, theoretically, in finite-time. Then, an $\mathcal {H}_{\infty } $H∞ controller attenuates the effects of uniformly bounded disturbances. Sufficient conditions are provided to ensure that the closed-loop system is stable. Moreover, it is internally asymptotically stable in the absence of uncertainties and external disturbances. The analysis shows that the observer-controller system possesses an $\mathcal {L}_2 $L2-gain less than a priori given disturbance attenuation level. Emulation trials showed the feasibility of the method. Journal: International Journal of Systems Science Pages: 35-48 Issue: 1 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1692953 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1692953 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:1:p:35-48 Template-Type: ReDIF-Article 1.0 Author-Name: Lan Zhou Author-X-Name-First: Lan Author-X-Name-Last: Zhou Author-Name: Jinhua She Author-X-Name-First: Jinhua Author-X-Name-Last: She Author-Name: Xian-Ming Zhang Author-X-Name-First: Xian-Ming Author-X-Name-Last: Zhang Author-Name: Zhu Zhang Author-X-Name-First: Zhu Author-X-Name-Last: Zhang Title: Improving disturbance-rejection performance in a modified repetitive-control system based on equivalent-input-disturbance approach Abstract: This paper presents a method to actively reject aperiodic disturbances and to suppress uncertainties in a modified repetitive-control (RC) system, based on an equivalent-input-disturbance (EID) approach. The influences of aperiodic disturbances and uncertainties on the input channel are estimated by an EID estimates and then rejected by incorporating the estimation into a repetitive control law. First, how to construct an EID-based modified repetitive-control system is described, in which a correction is introduced to the amount of the delay of the repetitive controller to enhance the steady-state tracking performance. Next, a linear-matrix-inequality-(LMI)-based stability criterion is derived by employing the Lyapunov functional method. Two tuning parameters introduced in the LMI can manipulate the preferential adjustment of the robust stability and learning efficiency and thus improve both transient and steady-state performances. Then, an optimisation algorithm is presented to produce optimal controller gains. Finally, simulations exhibit the design procedure in detail, and the superiority of the proposed method in this paper is demonstrated through comparisons with some conventional RC and $H_\infty $H∞ RC methods. Journal: International Journal of Systems Science Pages: 49-60 Issue: 1 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1692954 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1692954 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:1:p:49-60 Template-Type: ReDIF-Article 1.0 Author-Name: Y. Peretz Author-X-Name-First: Y. Author-X-Name-Last: Peretz Author-Name: O. Merzbach Author-X-Name-First: O. Author-X-Name-Last: Merzbach Author-Name: S. Moyall Author-X-Name-First: S. Author-X-Name-Last: Moyall Title: On a new generalised LMI condition and randomised algorithm for robust stabilisation via static-output-feedback Abstract: For a given system with time-invariant affine uncertainties, ranging in a unit hypercube or, equivalently, in a hyper-rectangle, new LMI sufficient conditions for the verification of a given simultaneous static-output-feedback for hypercube nodes, being robust static-output-feedback for the whole system, are proved. The conditions generalise previous results in the sense that we do not assume that the state-to-measurement or the input-to-state matrix is constant. Based on the LMI conditions, a randomised algorithm is suggested. The effectiveness of the method is reinforced through experiments on real-life systems. Journal: International Journal of Systems Science Pages: 61-71 Issue: 1 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1692955 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1692955 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:1:p:61-71 Template-Type: ReDIF-Article 1.0 Author-Name: Ali Izadipour Author-X-Name-First: Ali Author-X-Name-Last: Izadipour Author-Name: Jafar Ghaisari Author-X-Name-First: Jafar Author-X-Name-Last: Ghaisari Author-Name: Javad Askari Author-X-Name-First: Javad Author-X-Name-Last: Askari Title: Distributed robust adaptive flocking for uncertain nonlinear multi-agent systems with time-varying communication delay Abstract: This paper is concerned with the flocking problem of networked multi-agent systems while considering the perturbed communication link, time-varying communication delay and perturbed nonlinear dynamics. The state information of agents is exchanged among agents through a delayed communication network with an unknown upper bound. The proposed algorithm doesn't require the precise value of the communication delay upper bound. In addition, it can be applied to the networks with different time delays in different links. In order to deal with the perturbation of communication links, a distributed adaptive controller is proposed. The controllers are designed using only the delayed velocity information of one-hop neighbour. By means of the Lyapunov–Krasovskii analysis, sufficient conditions on the upper bound of communication delay derivative are computed under which flocking will be achieved and all states are globally uniformly bounded. Simulation results illustrate the effectiveness of the proposed algorithm. Journal: International Journal of Systems Science Pages: 72-86 Issue: 1 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1694196 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1694196 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:1:p:72-86 Template-Type: ReDIF-Article 1.0 Author-Name: Arezou Elahi Author-X-Name-First: Arezou Author-X-Name-Last: Elahi Author-Name: Alireza Alfi Author-X-Name-First: Alireza Author-X-Name-Last: Alfi Title: Finite-time stabilisation of discrete networked cascade control systems under transmission delay and packet dropout via static output feedback control Abstract: Delay and packet dropout are two inherent sources of the performance degradation or instability in the networked control systems. This paper addresses the stochastic ${H_\infty } $H∞ finite time stability analysis of a class of discrete-time network-based cascade control systems against varying delay and random packet dropout modelled by the Bernoulli distributed sequence. Based on the Finsler lemma, sufficient conditions are derived to stabilise such systems by designing static output feedback controller with the help of linear matrix inequalities (LMIs). This LMI-based conditions are provided to ensure the stochastic finite-time stability with a given ${H_\infty } $H∞ disturbance attenuation level. Efficiency of the proposed controller is verified by numerical examples. Journal: International Journal of Systems Science Pages: 87-101 Issue: 1 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1701132 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1701132 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:1:p:87-101 Template-Type: ReDIF-Article 1.0 Author-Name: Hongliang Liu Author-X-Name-First: Hongliang Author-X-Name-Last: Liu Author-Name: Xiao Wang Author-X-Name-First: Xiao Author-X-Name-Last: Wang Author-Name: Xiang Li Author-X-Name-First: Xiang Author-X-Name-Last: Li Author-Name: Yicheng Liu Author-X-Name-First: Yicheng Author-X-Name-Last: Liu Title: Finite-time flocking and collision avoidance for second-order multi-agent systems Abstract: This paper focuses on the problem of the finite-time flocking with uniform minimal distance for second-order multi-agent systems. The solutions of these issues can be viewed as the reasonable explanations of the bird flocks or fish schools. A new discontinuous protocol, which combines a singular communication function with a weighted sum of sign functions of the relative velocities among agents, is proposed to guarantee that the agents can attract and repel with each other. Since the communication weight is singular, the existence and uniqueness theorem cannot be applied directly. However, by imposing some suitable conditions on the initial states and using the skill of the proof by contradiction, the existence of the global smooth solution is obtained. Furthermore, employing a finite time stability theory and constructing a Lyapunov function ingeniously, a flocking with least distance for the multi-agent system is acquired within a finite-time. Moreover, the bound of settling time can be estimated by the parameters and the initial states and this relationship show that the more the number of particles, the larger the bound of convergence time. Finally, numerical simulations are provided to demonstrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 102-115 Issue: 1 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1701133 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1701133 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:1:p:102-115 Template-Type: ReDIF-Article 1.0 Author-Name: Fateme Pourdadashi Komachali Author-X-Name-First: Fateme Author-X-Name-Last: Pourdadashi Komachali Author-Name: Masoud Shafiee Author-X-Name-First: Masoud Author-X-Name-Last: Shafiee Title: Sensor fault diagnosis in fractional-order singular systems using unknown input observer Abstract: This paper investigates the design of an unknown input observer for sensor fault diagnosis in linear fractional-order singular systems. The considered system is rectangular in general form. The necessary and sufficient conditions for the existence of the proposed observer are derived, and a systematic design approach is presented. The designed observer is nonsingular and uses only the original coefficient matrices to reconstruct the sensor faults. The proposed diagnosis method can decouple both the unknown inputs appearing in the system dynamics and the output equation, using only the available inputs and measurable output signals. The asymptotic stability conditions of the designed observer are obtained in terms of linear matrix inequalities. Moreover, the proposed approach is developed for sensor fault diagnosis in fractional-order singular one-sided Lipschitz systems. The convergence conditions of the designed nonlinear observer are derived in terms of linear matrix inequalities by introducing a continuous frequency distributed equivalent model and using indirect Lyapunov approach. Finally, the proposed approach is applied to a machine infinite bus system and a numerical example to demonstrate its effectiveness. Journal: International Journal of Systems Science Pages: 116-132 Issue: 1 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1701135 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1701135 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:1:p:116-132 Template-Type: ReDIF-Article 1.0 Author-Name: Xinjun Wang Author-X-Name-First: Xinjun Author-X-Name-Last: Wang Author-Name: Qinghui Wu Author-X-Name-First: Qinghui Author-X-Name-Last: Wu Author-Name: Xinghui Yin Author-X-Name-First: Xinghui Author-X-Name-Last: Yin Title: Adaptive finite-time prescribed performance control of switched nonlinear systems with unknown actuator dead-zone Abstract: This paper focuses on the adaptive finite-time tracking control problem for a class of nonstrict-feedback switched nonlinear systems with unknown nonsymmetric actuator dead-zone. By utilising a novel finite-time performance function (FTPF), the finite-time prescribed performance control (FTPPC) algorithm is first proposed for the considered system. In this design, the neural networks (NNs) are directly utilised to cope with the completely unknown nonlinear functions of the systems. Different from the existing results, the proposed scheme is able to guarantee that the tracking error converges to a prescribed zone at a finite-time and all the signals of the closed-loop system remain semi-globally practical finite-time stable (SGPF-stable). Simulation results are offered to illustrate the feasibility of the newly designed scheme. Journal: International Journal of Systems Science Pages: 133-145 Issue: 1 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1701136 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1701136 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:1:p:133-145 Template-Type: ReDIF-Article 1.0 Author-Name: Lili Zhang Author-X-Name-First: Lili Author-X-Name-Last: Zhang Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Adaptive sensor and actuator failure compensation for H∞ static output control of linear systems: a new Lyapunov function method Abstract: This paper investigates the $H_\infty $H∞ static output feedback control problem for linear systems. The sensor and actuator may simultaneously suffer the total/partial loss of effectiveness. An adaptive fault-tolerant control scheme is developed by combination of linear matrix inequality method and adaptive mechanism. By estimating the inverses of failure factors online, the adverse effects of sensor and actuator failure can be compensated for. Finally, simulation results on the ‘Raptor-90’ helicopter verify the effectiveness of the proposed approaches. Journal: International Journal of Systems Science Pages: 146-157 Issue: 1 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1701137 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1701137 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:1:p:146-157 Template-Type: ReDIF-Article 1.0 Author-Name: Yanqian Wang Author-X-Name-First: Yanqian Author-X-Name-Last: Wang Author-Name: Guangming Zhuang Author-X-Name-First: Guangming Author-X-Name-Last: Zhuang Author-Name: Fu Chen Author-X-Name-First: Fu Author-X-Name-Last: Chen Title: A dynamic event-triggered H∞ control for singular Markov jump systems with redundant channels Abstract: In this paper, the problem of asynchronous $H_{\infty } $H∞ control for singular Markov jump systems with redundant channels under the dynamic event-triggered scheme is studied. To save the resource of bandwidth limited network, a dynamic event-triggered scheme is proposed. The technique of redundant channels is employed to improve the successful rate of the communication network, which are modelled as two mutually independent Bernoulli-distributed random variables. A hidden Markov model is proposed to formulate the asynchronisation phenomena between the system modes and the controller modes, which results in the fact that the closed-loop system is a singular hidden Markov jump system. The criteria of regular, causal and stochastically stable with a certain $H_{\infty } $H∞ performance for the closed-loop system are obtained. The co-design of asynchronous controllers and the dynamic event-triggered scheme is proposed in terms of a group of feasible linear matrix inequalities. A numerical example and a practical example are presented to show the effectiveness of the developed method. Journal: International Journal of Systems Science Pages: 158-179 Issue: 1 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1701729 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1701729 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:1:p:158-179 Template-Type: ReDIF-Article 1.0 Author-Name: Yijing Wang Author-X-Name-First: Yijing Author-X-Name-Last: Wang Author-Name: Zongxian Jia Author-X-Name-First: Zongxian Author-X-Name-Last: Jia Author-Name: Rui Zhao Author-X-Name-First: Rui Author-X-Name-Last: Zhao Author-Name: Zhiqiang Zuo Author-X-Name-First: Zhiqiang Author-X-Name-Last: Zuo Title: Event-triggered control for switched systems with both continuous-time and discrete-time subsystems Abstract: In this paper, we consider the event-triggered control for a class of switched systems which are composed of one continuous-time subsystem and one discrete-time subsystem. The proposed event-triggered mechanism adopts the form of periodic triggering, which combines the advantages of periodic control and event-triggered control. Consequently, Zeno behaviour can be essentially eliminated. A criterion is presented to ensure the exponential stability of the closed-loop switched systems. In addition, we extend the above result to the case of the switched system with multiple continuous-time and discrete-time subsystems and the case of observer-based control. Finally, a numerical example is provided to illustrate the theoretical results. Journal: International Journal of Systems Science Pages: 180-190 Issue: 1 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1701730 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1701730 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:1:p:180-190 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaoqian Li Author-X-Name-First: Xiaoqian Author-X-Name-Last: Li Author-Name: Wei Wang Author-X-Name-First: Wei Author-X-Name-Last: Wang Author-Name: Juanjuan Xu Author-X-Name-First: Juanjuan Author-X-Name-Last: Xu Author-Name: Huanshui Zhang Author-X-Name-First: Huanshui Author-X-Name-Last: Zhang Title: LQG control on mixed H2/H∞ problem: the discrete-time case Abstract: In this paper, we are concerned with linear quadratic Gaussian (LQG) control on the mixed $H_2/H_\infty $H2/H∞ problem. The mixed $H_2/H_\infty $H2/H∞ problem can be formulated as a kind of constraint optimisation problems where the control input is to minimise the $H_2 $H2-norm subject to the $H_\infty $H∞-constraint dealt with by the disturbance. The main contributions are twofold. First, when the state variables can be obtained exactly, necessary and sufficient conditions are given to guarantee the existence of the strategies. Second, the optimal LQG controller in terms of three decoupled equations (two Riccati equations and one Lyapunov equation) is obtained. The key technique is to apply the Stackelberg game approach by treating the disturbance as the follower and the control input as the leader respectively. A practical example is given to verify the efficiency of the proposed approach. Journal: International Journal of Systems Science Pages: 191-201 Issue: 1 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1702233 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1702233 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:1:p:191-201 Template-Type: ReDIF-Article 1.0 Author-Name: Tsu-Pang Hsieh Author-X-Name-First: Tsu-Pang Author-X-Name-Last: Hsieh Author-Name: Mei-Chuan Cheng Author-X-Name-First: Mei-Chuan Author-X-Name-Last: Cheng Author-Name: Chung-Yuan Dye Author-X-Name-First: Chung-Yuan Author-X-Name-Last: Dye Author-Name: Liang-Yuh Ouyang Author-X-Name-First: Liang-Yuh Author-X-Name-Last: Ouyang Title: Determining optimal selling price and lot size with process reliability and partial backlogging considerations Abstract: In this article, we extend the classical economic production quantity (EPQ) model by proposing imperfect production processes and quality-dependent unit production cost. The demand rate is described by any convex decreasing function of the selling price. In addition, we allow for shortages and a time-proportional backlogging rate. For any given selling price, we first prove that the optimal production schedule not only exists but also is unique. Next, we show that the total profit per unit time is a concave function of price when the production schedule is given. We then provide a simple algorithm to find the optimal selling price and production schedule for the proposed model. Finally, we use a couple of numerical examples to illustrate the algorithm and conclude this article with suggestions for possible future research. Journal: International Journal of Systems Science Pages: 1-10 Issue: 1 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720802017875 File-URL: http://hdl.handle.net/10.1080/00207720802017875 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:1-10 Template-Type: ReDIF-Article 1.0 Author-Name: F. El Haoussi Author-X-Name-First: F. Author-X-Name-Last: El Haoussi Author-Name: E.H. Tissir Author-X-Name-First: E.H. Author-X-Name-Last: Tissir Author-Name: F. Tadeo Author-X-Name-First: F. Author-X-Name-Last: Tadeo Author-Name: A. Hmamed Author-X-Name-First: A. Author-X-Name-Last: Hmamed Title: Delay-dependent stabilisation of systems with time-delayed state and control: application to a quadruple-tank process Abstract: This work presents a study on the stabilisation of linear systems with delays in the control and states, motivated by a benchmark problem from the literature (a quadruple-tank system). A methodology for the stabilisation of this kind of systems is presented, expressing the conditions as LMIs. Using several examples from the literature, it is shown that the proposed stabilisation theorem is less conservative than previous results. Finally, the technique is applied to the benchmark problem, showing how it is possible to derive efficient controllers for realistic problems, using the proposed technique. Journal: International Journal of Systems Science Pages: 41-49 Issue: 1 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720902990054 File-URL: http://hdl.handle.net/10.1080/00207720902990054 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:41-49 Template-Type: ReDIF-Article 1.0 Author-Name: Jianfa Cao Author-X-Name-First: Jianfa Author-X-Name-Last: Cao Author-Name: Jinjiang Yuan Author-X-Name-First: Jinjiang Author-X-Name-Last: Yuan Author-Name: Wenjie Li Author-X-Name-First: Wenjie Author-X-Name-Last: Li Author-Name: Hailin Bu Author-X-Name-First: Hailin Author-X-Name-Last: Bu Title: Online scheduling on batching machines to minimise the total weighted completion time of jobs with precedence constraints and identical processing times Abstract: This article studies online scheduling of equal length jobs with precedence constraints on m parallel batching machines. The jobs arrive over time. The objective is to minimise the total weighted completion time of jobs. Denote the size of each batch by b with b = ∞ in the unbounded batching and b < ∞ in the bounded batching. For the unbounded batching version, we provide an online algorithm with a best possible competitive ratio of ρm, where ρm is the positive solution of ρm+1 − ρ = 1. The algorithm is also best possible when the jobs have identical weights. For the bounded batching version with identical weights of jobs, we provide an online algorithm with a competitive ratio of 2. Journal: International Journal of Systems Science Pages: 51-55 Issue: 1 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903428906 File-URL: http://hdl.handle.net/10.1080/00207720903428906 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:51-55 Template-Type: ReDIF-Article 1.0 Author-Name: G.Q. Cheng Author-X-Name-First: G.Q. Author-X-Name-Last: Cheng Author-Name: L. Li Author-X-Name-First: L. Author-X-Name-Last: Li Title: Two different general monotone process models for a deteriorating system and its optimisation Abstract: We present a deteriorating system with k failure states and one working state. Assume that the system after repair cannot be as good as new, and the deterioration is stochastic. Under these assumptions, we use a generalised α-series process and geometric process to model system successive working times and consecutive repair times, respectively. Under the replacement policy N, we obtain the expression of the average cost rate (ACR), and derive the optimal replacement policy analytically or numerically. Finally, we provide a numerical example to illustrate our model, and carry through some discussions and sensitivity analysis of the model. Journal: International Journal of Systems Science Pages: 57-62 Issue: 1 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903428914 File-URL: http://hdl.handle.net/10.1080/00207720903428914 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:57-62 Template-Type: ReDIF-Article 1.0 Author-Name: Bo Chen Author-X-Name-First: Bo Author-X-Name-Last: Chen Author-Name: Bin Zhang Author-X-Name-First: Bin Author-X-Name-Last: Zhang Author-Name: Weidong Zhu Author-X-Name-First: Weidong Author-X-Name-Last: Zhu Title: Combined trust model based on evidence theory in iterated prisoner's dilemma game Abstract: In the iterated prisoner's dilemma game, agents often play defection based on mutual distrust for the sake of their own benefits. However, most game strategies and mechanisms are limited for strengthening cooperative behaviour in the current literature, especially in noisy environments. In this article, we construct a combined trust model by combining the locally owned information and the recommending information from other agents and develop a combined trust strategy in the iterated prisoner's dilemma game. The proposed game strategy can provide not only a higher payoff for agents, but also a trust mechanism for the system. Furthermore, agents can form their own reputation evaluations upon their opponents and make more rational and precise decisions under our framework. Simulations of application are performed to show the performance of the proposed strategy in noise-free and noisy environments. Journal: International Journal of Systems Science Pages: 63-80 Issue: 1 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903434771 File-URL: http://hdl.handle.net/10.1080/00207720903434771 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:63-80 Template-Type: ReDIF-Article 1.0 Author-Name: Kjell Hausken Author-X-Name-First: Kjell Author-X-Name-Last: Hausken Title: Protecting complex infrastructures against multiple strategic attackers Abstract: Infrastructures are analysed subject to defence by a strategic defender and attack by multiple strategic attackers. A framework is developed where each agent determines how much to invest in defending versus attacking each of multiple targets. A target can have economic, human and symbolic values, which generally vary across agents. Investment expenditure functions for each agent can be linear in the investment effort, concave, convex, logistic, can increase incrementally, or can be subject to budget constraints. Contest success functions (e.g., ratio and difference forms) determine the probability of a successful attack on each target, dependent on the relative investments of the defender and attackers on each target, and on characteristics of the contest. Targets can be in parallel, in series, interlinked, interdependent or independent. The defender minimises the expected damage plus the defence expenditures. Each attacker maximises the expected damage minus the attack expenditures. The number of free choice variables equals the number of agents times the number of targets, or lower if there are budget constraints. Each agent is interested in how his investments vary across the targets, and the impact on his utilities. Alternative optimisation programmes are discussed, together with repeated games, dynamic games and incomplete information. An example is provided for illustration. Journal: International Journal of Systems Science Pages: 11-29 Issue: 1 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903434789 File-URL: http://hdl.handle.net/10.1080/00207720903434789 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:11-29 Template-Type: ReDIF-Article 1.0 Author-Name: Jungkyu Kim Author-X-Name-First: Jungkyu Author-X-Name-Last: Kim Author-Name: Yushin Hong Author-X-Name-First: Yushin Author-X-Name-Last: Hong Author-Name: Taebok Kim Author-X-Name-First: Taebok Author-X-Name-Last: Kim Title: Pricing and ordering policies for price-dependent demand in a supply chain of a single retailer and a single manufacturer Abstract: This article discusses joint pricing and ordering policies for price-dependent demand in a supply chain consisting of a single retailer and a single manufacturer. The retailer places orders for products according to an EOQ policy and the manufacturer produces them on a lot-for-lot basis. Four mechanisms with differing levels of coordination are presented. Mathematical models are formulated and solution procedures are developed to determine the optimal retail prices and order quantities. Through extensive numerical experiments, we analyse and compare the behaviours and characteristics of the proposed mechanisms, and find that enhancing the level of coordination has important benefits for the supply chain. Journal: International Journal of Systems Science Pages: 81-89 Issue: 1 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903470122 File-URL: http://hdl.handle.net/10.1080/00207720903470122 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:81-89 Template-Type: ReDIF-Article 1.0 Author-Name: Anas N. Al-Rabadi Author-X-Name-First: Anas N. Author-X-Name-Last: Al-Rabadi Author-Name: Othman M.K. Alsmadi Author-X-Name-First: Othman M.K. Author-X-Name-Last: Alsmadi Title: Supervised neural computing and LMI optimisation for order model reduction-based control of the Buck switching-mode power supply Abstract: This article introduces a new method of intelligent control to control the Buck converter using a newly developed small-signal model of the pulse width modulation (PWM) switch. The new method uses a recurrent supervised neural network to estimate certain parameters of the transformed system matrix [ ]. Then, a numerical algorithm used in robust control called the linear matrix inequality (LMI) optimisation technique is used to determine the permutation matrix [P], so that a complete system transformation {[ ], [ ], [ ]} is possible. The transformed model is then reduced using the method of singular perturbation, and state feedback control is applied to enhance the system's performance. The eigenvalues of the resulting reduced model are a subset of the original non-transformed full-order system, and this is important since the eigenvalues in the non-transformed reduced order model will be different from the eigenvalues of the original full-order system. The experimental simulation results show that the new control methodology simplifies the model in the Buck converter and thus uses a simpler controller that produces the desired system response for performance enhancement. Journal: International Journal of Systems Science Pages: 91-106 Issue: 1 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903470148 File-URL: http://hdl.handle.net/10.1080/00207720903470148 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:91-106 Template-Type: ReDIF-Article 1.0 Author-Name: M.K. Singh Author-X-Name-First: M.K. Author-X-Name-Last: Singh Author-Name: D.R. Parhi Author-X-Name-First: D.R. Author-X-Name-Last: Parhi Title: Path optimisation of a mobile robot using an artificial neural network controller Abstract: This article proposed a novel approach for design of an intelligent controller for an autonomous mobile robot using a multilayer feed forward neural network, which enables the robot to navigate in a real world dynamic environment. The inputs to the proposed neural controller consist of left, right and front obstacle distance with respect to its position and target angle. The output of the neural network is steering angle. A four layer neural network has been designed to solve the path and time optimisation problem of mobile robots, which deals with the cognitive tasks such as learning, adaptation, generalisation and optimisation. A back propagation algorithm is used to train the network. This article also analyses the kinematic design of mobile robots for dynamic movements. The simulation results are compared with experimental results, which are satisfactory and show very good agreement. The training of the neural nets and the control performance analysis has been done in a real experimental setup. Journal: International Journal of Systems Science Pages: 107-120 Issue: 1 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903470155 File-URL: http://hdl.handle.net/10.1080/00207720903470155 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:107-120 Template-Type: ReDIF-Article 1.0 Author-Name: Dedong Yang Author-X-Name-First: Dedong Author-X-Name-Last: Yang Author-Name: Kai-Yuan Cai Author-X-Name-First: Kai-Yuan Author-X-Name-Last: Cai Title: Finite-time reliable guaranteed cost fuzzy control for discrete-time nonlinear systems Abstract: The problem of finite-time reliable guaranteed cost fuzzy control for discrete-time nonlinear systems with actuator faults is investigated in this article. We first provide a novel and explicit interpretation for finite-time reliable guaranteed cost fuzzy control. Second, a suitable reliable controller is designed such that the provided performance criterion is satisfied for the normal and possible actuator fault cases. Moreover, the switched Lyapunov function approach is utilised for relaxing the conservatism of these obtained conditions and the related optimisation problem is also offered to minimise the guaranteed cost performance bound. Finally, an illustrative example is given to show the validity of the proposed scheme. Journal: International Journal of Systems Science Pages: 121-128 Issue: 1 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903470163 File-URL: http://hdl.handle.net/10.1080/00207720903470163 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:121-128 Template-Type: ReDIF-Article 1.0 Author-Name: Faiz Rasool Author-X-Name-First: Faiz Author-X-Name-Last: Rasool Author-Name: Sing Kiong Nguang Author-X-Name-First: Sing Kiong Author-X-Name-Last: Nguang Title: Quantized robust ℋ control of discrete-time systems with random communication delays Abstract: The article considers stability and robust ℋ∞ controller design of discrete-time systems with random communication delays and state quantization. A finite state Markov process is used to model communication delays between sensors and controllers. Measurements are assumed to be quantized by a logarithmic quantizer, and the effect of quantization errors are incorporated into the controller design. Based on a Lyapunov–Krasovskii approach, novel methodologies for analysing stability and designing a time-delay mode-dependent quantized state feedback controller are proposed. The controller is obtained through solving bilinear matrix inequalities (BMIs) using the cone complementarity linearisation algorithm. Journal: International Journal of Systems Science Pages: 129-138 Issue: 1 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903470171 File-URL: http://hdl.handle.net/10.1080/00207720903470171 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:129-138 Template-Type: ReDIF-Article 1.0 Author-Name: Yongsong Xiao Author-X-Name-First: Yongsong Author-X-Name-Last: Xiao Author-Name: Huibo Chen Author-X-Name-First: Huibo Author-X-Name-Last: Chen Author-Name: Feng Ding Author-X-Name-First: Feng Author-X-Name-Last: Ding Title: Identification of multi-input systems based on correlation techniques Abstract: This article proposes a correlation analysis-based identification method for multi-input single-output systems. The basic idea is to estimate the equivalent FIR model parameters with the orders increasing, and to compute the parameter estimates of the original systems (i.e. each fictitious subsystem) using the system inputs and the outputs of the estimated FIR models and using the least squares optimisation. Simulation results indicate that the proposed algorithm can work well. Journal: International Journal of Systems Science Pages: 139-147 Issue: 1 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903470189 File-URL: http://hdl.handle.net/10.1080/00207720903470189 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:139-147 Template-Type: ReDIF-Article 1.0 Author-Name: Pin-Cheng Chen Author-X-Name-First: Pin-Cheng Author-X-Name-Last: Chen Author-Name: Chi-Hsu Wang Author-X-Name-First: Chi-Hsu Author-X-Name-Last: Wang Author-Name: Tsu-Tian Lee Author-X-Name-First: Tsu-Tian Author-X-Name-Last: Lee Title: Robust adaptive self-structuring fuzzy control design for nonaffine, nonlinear systems Abstract: In this article, a robust adaptive self-structuring fuzzy control (RASFC) scheme for the uncertain or ill-defined nonlinear, nonaffine systems is proposed. The RASFC scheme is composed of a robust adaptive controller and a self-structuring fuzzy controller. In the self-structuring fuzzy controller design, a novel self-structuring fuzzy system (SFS) is used to approximate the unknown plant nonlinearity, and the SFS can automatically grow and prune fuzzy rules to realise a compact fuzzy rule base. The robust adaptive controller is designed to achieve an L2 tracking performance to stabilise the closed-loop system. This L2 tracking performance can provide a clear expression of tracking error in terms of the sum of lumped uncertainty and external disturbance, which has not been shown in previous works. Finally, five examples are presented to show that the proposed RASFC scheme can achieve favourable tracking performance, yet heavy computational burden is relieved. Journal: International Journal of Systems Science Pages: 149-169 Issue: 1 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903494635 File-URL: http://hdl.handle.net/10.1080/00207720903494635 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:149-169 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaoyuan Luo Author-X-Name-First: Xiaoyuan Author-X-Name-Last: Luo Author-Name: Shaobao Li Author-X-Name-First: Shaobao Author-X-Name-Last: Li Author-Name: Xinping Guan Author-X-Name-First: Xinping Author-X-Name-Last: Guan Title: Decentralised control for formation reorganisation of multi-agent systems using a virtual leader Abstract: In this article, we study the topology reorganisation of formations for multi-agent systems with a broken agent during motion. The cases with a broken agent in different topologies and different positions are studied, and a decentralised algorithm is proposed to reorganise the different damaged topologies of formations. The main contributions of this article include: first, a collective potential function model is designed to reorganise the topologies, and a repulsive potential function model is proposed to avoid obstacles; second, a decentralised algorithm based on potential functions is presented; third, a virtual agent is designed to be a leader as soon as an agent is damaged, and disappears once the topology is repaired. Finally, some simulation results are studied to demonstrate the efficiency of the proposed algorithm. Journal: International Journal of Systems Science Pages: 171-182 Issue: 1 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903494650 File-URL: http://hdl.handle.net/10.1080/00207720903494650 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:171-182 Template-Type: ReDIF-Article 1.0 Author-Name: D. Subbaram Naidu Author-X-Name-First: D. Subbaram Author-X-Name-Last: Naidu Title: Singular perturbation analysis of a flexible beam used in underwater exploration Abstract: This article focuses on the analysis of a flexible beam based on two approaches of singular perturbations and feedback linearisation. First, a model is obtained for a flexible beam consisting of flexible joints and actuators for underwater positioning and/or tracking control leading to a singularly perturbed structure based on the slow phenomena due to the rigid portion and fast phenomena due to the flexible part of the system. Next, two ways are given for introducing the small parameter responsible for time-scale behaviour, one using a separate small parameter for each beam joint and beam link and the second using a single small parameter with appropriate scaling. Using the singular perturbation approach, the original systems are decoupled into slow and fast subsystems. The main objective is to use a feedback linearisation approach and design a proportional-integral-derivative computed-torque, composite (slow and fast) controller for improving the tracking performance. An illustrative example is provided. Journal: International Journal of Systems Science Pages: 183-194 Issue: 1 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903494668 File-URL: http://hdl.handle.net/10.1080/00207720903494668 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:183-194 Template-Type: ReDIF-Article 1.0 Author-Name: Shin-Ju Chen Author-X-Name-First: Shin-Ju Author-X-Name-Last: Chen Author-Name: Lin-Goei Shiau Author-X-Name-First: Lin-Goei Author-X-Name-Last: Shiau Title: Robust stability of uncertain singular time-delay systems via LFT approach Abstract: The robust stability problem of continuous-time singular systems with multiple state delays and bounded parametric uncertainties is considered. Both commensurate and non-commensurate delays are investigated. On the basis of the linear fractional transformations (LFTs) framework and μ-analysis, a systematic approach is derived to convert the robustness problem to a robust nonsingularity problem. Some explicit conditions are proposed to guarantee the uncertain singular time-delay system being regular, impulse-free and stable independent of delay. Two illustrative examples are given to show the feasibility of the proposed technique. Journal: International Journal of Systems Science Pages: 31-39 Issue: 1 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903494676 File-URL: http://hdl.handle.net/10.1080/00207720903494676 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:31-39 Template-Type: ReDIF-Article 1.0 Author-Name: K. Maleknejad Author-X-Name-First: K. Author-X-Name-Last: Maleknejad Author-Name: H. Safdari Author-X-Name-First: H. Author-X-Name-Last: Safdari Author-Name: M. Nouri Author-X-Name-First: M. Author-X-Name-Last: Nouri Title: Numerical solution of an integral equations system of the first kind by using an operational matrix with block pulse functions Abstract: This article proposes a simple efficient method for solving a Volterra integral equations system of the first kind. By using block pulse functions and their operational matrix of integration, a first kind integral equations system can be reduced to a linear system of algebraic equations. The coefficient matrix of this system is a block matrix with lower triangular blocks. Numerical examples show that the approximate solutions have a good degree of accuracy. Journal: International Journal of Systems Science Pages: 195-199 Issue: 1 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903499824 File-URL: http://hdl.handle.net/10.1080/00207720903499824 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:195-199 Template-Type: ReDIF-Article 1.0 Author-Name: Chunxia Dou Author-X-Name-First: Chunxia Author-X-Name-Last: Dou Author-Name: Chunchun Mao Author-X-Name-First: Chunchun Author-X-Name-Last: Mao Author-Name: Xingzhong Zhang Author-X-Name-First: Xingzhong Author-X-Name-Last: Zhang Author-Name: Xinping Guan Author-X-Name-First: Xinping Author-X-Name-Last: Guan Title: Hybrid control for wide-area power systems based on hybrid system theory Abstract: The article focuses on a new two-level hierarchical hybrid control which contains an upper layer discrete supervisory strategy and lower layer continuous decentralised coordinated control based on hybrid system theory for wide-area power system overall stability enhancement. The discrete supervisory strategies are constituted based on an information fusion technique by using wide-area measurements (WAMs) in order to supervise and switch the control actions into apposite operation mode following a large disturbance. The continuous control is designed in the form of a local state feedback decentralised controller for each generator helped by a coordinated controller, and the coordinated controller is proposed to apply the remote signals from the WAM systems for improving dynamic performance. However, unavoidable communication time delays are involved before the remote signals are received at the coordinated controller. Taking account of the multiply delays, the authors develop a delay-dependent H∞ robust control technique based on multiple Lyapunov stability theory. Some new stability criteria for hybrid control are derived in terms of linear matrix inequality. The so-called hybrid control is demonstrated through simulation examples to achieve the best overall performance following a large disturbance. Journal: International Journal of Systems Science Pages: 201-217 Issue: 1 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903511727 File-URL: http://hdl.handle.net/10.1080/00207720903511727 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:201-217 Template-Type: ReDIF-Article 1.0 Author-Name: F. Guenab Author-X-Name-First: F. Author-X-Name-Last: Guenab Author-Name: P. Weber Author-X-Name-First: P. Author-X-Name-Last: Weber Author-Name: D. Theilliol Author-X-Name-First: D. Author-X-Name-Last: Theilliol Author-Name: Y.M. Zhang Author-X-Name-First: Y.M. Author-X-Name-Last: Zhang Title: Design of a fault tolerant control system incorporating reliability analysis and dynamic behaviour constraints Abstract: In highly automated aerospace and industrial systems where maintenance and repair cannot be carried out immediately, it is crucial to design control systems capable of ensuring desired performance when taking into account the occurrence of faults/failures on a plant/process; such a control technique is referred to as fault tolerant control (FTC). The control system processing such fault tolerance capability is referred to as a fault tolerant control system (FTCS). The objective of FTC is to maintain system stability and current performance of the system close to the desired performance in the presence of system component and/or instrument faults; in certain circumstances a reduced performance may be acceptable. Various control design methods have been developed in the literature with the target to modify or accommodate baseline controllers which were originally designed for systems operating under fault-free conditions. The main objective of this article is to develop a novel FTCS design method, which incorporates both reliability and dynamic performance of the faulty system in the design of a FTCS. Once a fault has been detected and isolated, the reconfiguration strategy proposed in this article will find possible structures of the faulty system that best preserve pre-specified performances based on on-line calculated system reliability and associated costs. The new reconfigured controller gains will also be synthesised and finally the optimal structure that has the ‘best’ control performance with the highest reliability will be chosen for control reconfiguration. The effectiveness of this work is illustrated by a heating system benchmark used in a European project entitled intelligent Fault Tolerant Control in Integrated Systems (IFATIS EU-IST-2001-32122). Journal: International Journal of Systems Science Pages: 219-233 Issue: 1 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903513319 File-URL: http://hdl.handle.net/10.1080/00207720903513319 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:219-233 Template-Type: ReDIF-Article 1.0 Author-Name: Qi Zhou Author-X-Name-First: Qi Author-X-Name-Last: Zhou Author-Name: Shengyuan Xu Author-X-Name-First: Shengyuan Author-X-Name-Last: Xu Author-Name: Bing Chen Author-X-Name-First: Bing Author-X-Name-Last: Chen Author-Name: Yuming Chu Author-X-Name-First: Yuming Author-X-Name-Last: Chu Title: filtering for stochastic systems with time-varying delay Abstract: This article considers the problem of H∞ filter design for stochastic systems with time-varying delay. The time delay is assumed to be of interval type. Attention is focused on the design of delay-dependent filters that guarantee the asymptotic stability in mean square and a prescribed noise attenuation level in an H∞ sense for the filtering error dynamics. The delay-dependent H∞ filter design scheme is proposed in terms of a linear matrix inequality. A numerical example is used to illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 235-244 Issue: 1 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903513327 File-URL: http://hdl.handle.net/10.1080/00207720903513327 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:1:p:235-244 Template-Type: ReDIF-Article 1.0 Author-Name: Sung Jin Yoo Author-X-Name-First: Sung Jin Author-X-Name-Last: Yoo Title: Approximation-based adaptive tracking of a class of uncertain nonlinear time-delay systems in nonstrict-feedback form Abstract: This paper investigates a predefined performance control problem for adaptive tracking of uncertain nonlinear time-delay systems in nonstrict-feedback form. Nonstrict-feedback nonlinearities, time-varying delays and external disturbances are assumed to be unknown. Based on the exponential decaying design functions denoting the preassigned bounds of transient and steady-state tracking errors, some variable separation lemmas are derived to design an approximation-based robust adaptive control scheme in the presence of nonstrict-feedback time-delayed nonlinearities. The proposed control system guarantees that a tracking error remains within a predesigned bound for all t ≥ 0 and converges to a preselected neighbourhood of the origin. Compared with the existing results in the literature, the main contribution of this paper is to provide a solution on the guaranteed performance control in the presence of unknown nonstrict-feedback nonlinearities related to all delayed state variables. Simulation results illustrate the effectiveness of the proposed methodology. Journal: International Journal of Systems Science Pages: 1347-1355 Issue: 7 Volume: 48 Year: 2017 Month: 5 X-DOI: 10.1080/00207721.2016.1256450 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1256450 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:7:p:1347-1355 Template-Type: ReDIF-Article 1.0 Author-Name: Xiao-Qi Zhao Author-X-Name-First: Xiao-Qi Author-X-Name-Last: Zhao Author-Name: Jun Fu Author-X-Name-First: Jun Author-X-Name-Last: Fu Author-Name: Jun Zhao Author-X-Name-First: Jun Author-X-Name-Last: Zhao Title: Output feedback passification of saturated switched systems Abstract: This paper addresses the passivity and feedback passification of the saturated switched systems. A switching law and output feedback controllers are designed such that the corresponding closed-loop systems are with the passivity and disturbance tolerance capacity. The switching law satisfies a maximal dwell time (DT) condition, which avoids too high switching frequency. More importantly, under the switching law, the storage function is allowed to be increased during the DT and then decreased due to the drop of itself at the mixed time/state-dependent switching instants. This releases the performance requirement of existing results where the storage function must be non-increasing all the time. Finally, the existence of the upper bound of DT and output feedback controllers is guaranteed by solving some linear matrix inequalities. Two examples are given to show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1356-1366 Issue: 7 Volume: 48 Year: 2017 Month: 5 X-DOI: 10.1080/00207721.2016.1258595 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1258595 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:7:p:1356-1366 Template-Type: ReDIF-Article 1.0 Author-Name: Meng Zhou Author-X-Name-First: Meng Author-X-Name-Last: Zhou Author-Name: Zhenhua Wang Author-X-Name-First: Zhenhua Author-X-Name-Last: Wang Author-Name: Yi Shen Author-X-Name-First: Yi Author-X-Name-Last: Shen Title: Simultaneous fault estimation and fault-tolerant tracking control for uncertain nonlinear discrete-time systems Abstract: This paper deals with simultaneous fault estimation and control for a class of nonlinear systems with parameter uncertainty, which is described by Takagi–Sugeno (T–S) fuzzy model with parameter uncertainties and unknown disturbance. In this paper, a fuzzy reference model is used to generate error dynamic for tracking control. By considering actuator fault as an auxiliary state vector, we construct an augmented error system and propose a fault estimator/controller to achieve simultaneous fault estimation and fault-tolerant tracking control. H∞ approach is used in the design of estimator/controller to attenuate the effect of the unknown disturbance and parameter uncertainties. The design conditions are formulated into a set of linear matrix inequalities (LMIs), which can be efficiently solved. Finally, a pitch-axis nonlinear missile model is used to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1367-1379 Issue: 7 Volume: 48 Year: 2017 Month: 5 X-DOI: 10.1080/00207721.2016.1258596 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1258596 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:7:p:1367-1379 Template-Type: ReDIF-Article 1.0 Author-Name: Zhen Liu Author-X-Name-First: Zhen Author-X-Name-Last: Liu Author-Name: Lin Zhao Author-X-Name-First: Lin Author-X-Name-Last: Zhao Author-Name: Quanmin Zhu Author-X-Name-First: Quanmin Author-X-Name-Last: Zhu Author-Name: Cunchen Gao Author-X-Name-First: Cunchen Author-X-Name-Last: Gao Title: Design of sliding-mode observer for a class of uncertain neutral stochastic systems Abstract: The problem of robust H∞$\mathscr {H}_{\infty }$ control for a class of uncertain neutral stochastic systems (NSS) is investigated by utilising the sliding-mode observer (SMO) technique. This paper presents a novel observer and integral-type sliding-surface design, based on which a new sufficient condition guaranteeing the resultant sliding-mode dynamics (SMDs) to be mean-square exponentially stable with a prescribed level of H∞$\mathscr {H}_{\infty }$ performance is derived. Then, an adaptive reaching motion controller is synthesised to lead the system to the predesigned sliding surface in finite-time almost surely. Finally, two illustrative examples are exhibited to verify the validity and superiority of the developed scheme. Journal: International Journal of Systems Science Pages: 1380-1394 Issue: 7 Volume: 48 Year: 2017 Month: 5 X-DOI: 10.1080/00207721.2016.1258597 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1258597 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:7:p:1380-1394 Template-Type: ReDIF-Article 1.0 Author-Name: Guobao Liu Author-X-Name-First: Guobao Author-X-Name-Last: Liu Title: New results on stability analysis of singular time-delay systems Abstract: This paper deals with the problem of delay-dependent stability analysis for singular systems with a constant time delay. By employing the Jensen inequality and the Wirtinger-based inequality, new delay-dependent stability criteria are developed. Furthermore, in order to obtain less conservative results, a new method of constructing Lyapunov--Krasovskii functionals (LKFs) is used. It should be pointed out that the positive-definiteness restrictions on some symmetric matrices of the LKFs are removed. All the criteria are proposed in terms of strict linear matrix inequalities. Finally, numerical examples are given to demonstrate the less conservatism of the results. Journal: International Journal of Systems Science Pages: 1395-1403 Issue: 7 Volume: 48 Year: 2017 Month: 5 X-DOI: 10.1080/00207721.2016.1258598 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1258598 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:7:p:1395-1403 Template-Type: ReDIF-Article 1.0 Author-Name: Elaheh Arefinia Author-X-Name-First: Elaheh Author-X-Name-Last: Arefinia Author-Name: Heidar Ali Talebi Author-X-Name-First: Heidar Ali Author-X-Name-Last: Talebi Author-Name: Ali Doustmohammadi Author-X-Name-First: Ali Author-X-Name-Last: Doustmohammadi Title: A robust adaptive observer for a class of singular nonlinear uncertain systems Abstract: This paper proposes a robust adaptive observer for a class of singular nonlinear non-autonomous uncertain systems with unstructured unknown system and derivative matrices, and unknown bounded nonlinearities. Unlike many existing observers, no strong assumption such as Lipschitz condition is imposed on the recommended system. An augmented system is constructed, and the unknown bounds are calculated online using adaptive bounding technique. Considering the continuous nonlinear gain removes the chattering which may appear in practical applications such as analysis of electrical circuits and estimation of interaction force in beating heart robotic-assisted surgery. Moreover, a simple yet precise structure is attained which is easy to implement in many systems with significant uncertainties. The existence conditions of the standard form observer are obtained in terms of linear matrix inequality and the constrained generalised Sylvester's equations, and global stability is ensured. Finally, simulation results are obtained to evaluate the performance of the proposed estimator and demonstrate the effectiveness of the developed scheme. Journal: International Journal of Systems Science Pages: 1404-1415 Issue: 7 Volume: 48 Year: 2017 Month: 5 X-DOI: 10.1080/00207721.2016.1261198 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1261198 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:7:p:1404-1415 Template-Type: ReDIF-Article 1.0 Author-Name: M. Sathishkumar Author-X-Name-First: M. Author-X-Name-Last: Sathishkumar Author-Name: R. Sakthivel Author-X-Name-First: R. Author-X-Name-Last: Sakthivel Author-Name: O. M. Kwon Author-X-Name-First: O. M. Author-X-Name-Last: Kwon Author-Name: B. Kaviarasan Author-X-Name-First: B. Author-X-Name-Last: Kaviarasan Title: Finite-time mixed and passive filtering for Takagi–Sugeno fuzzy nonhomogeneous Markovian jump systems Abstract: This paper is concerned with the finite-time mixed H∞ and passivity performance analysis and filter design for a class of uncertain nonlinear discrete-time Markovian jump systems (MJSs) described by Takagi–Sugeno fuzzy model with nonhomogeneous jump processes. In this paper, the proposed MJSs fuzzy model is formulated with norm-bounded parameter uncertainties and time-varying jump transition probability matrices. In particular, the time-varying transition probability matrices are expressed in respect of a polytope. By constructing a suitable Lyapunov functional, a new set of sufficient conditions is derived in the form of linear matrix inequalities (LMIs) to ensure that the filtering error system is robustly stochastically finite-time bounded and a prescribed mixed H∞ and passive performance index is achieved. Moreover, the robust mixed H∞ and passivity filter design gain matrices can be computed from the obtained LMIs. Furthermore, the developed results unify H∞ and passive filtering problems in a single framework. Finally, two numerical examples including an application-oriented example are provided to demonstrate the effectiveness of the proposed filter design technique. Journal: International Journal of Systems Science Pages: 1416-1427 Issue: 7 Volume: 48 Year: 2017 Month: 5 X-DOI: 10.1080/00207721.2016.1261199 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1261199 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:7:p:1416-1427 Template-Type: ReDIF-Article 1.0 Author-Name: Ilker Tanyer Author-X-Name-First: Ilker Author-X-Name-Last: Tanyer Author-Name: Enver Tatlicioglu Author-X-Name-First: Enver Author-X-Name-Last: Tatlicioglu Author-Name: Erkan Zergeroglu Author-X-Name-First: Erkan Author-X-Name-Last: Zergeroglu Title: Model reference tracking control of an aircraft: a robust adaptive approach Abstract: This work presents the design and the corresponding analysis of a nonlinear robust adaptive controller for model reference tracking of an aircraft that has parametric uncertainties in its system matrices and additive state- and/or time-dependent nonlinear disturbance-like terms in its dynamics. Specifically, robust integral of the sign of the error feedback term and an adaptive term is fused with a proportional integral controller. Lyapunov-based stability analysis techniques are utilised to prove global asymptotic convergence of the output tracking error. Extensive numerical simulations are presented to illustrate the performance of the proposed robust adaptive controller. Journal: International Journal of Systems Science Pages: 1428-1437 Issue: 7 Volume: 48 Year: 2017 Month: 5 X-DOI: 10.1080/00207721.2016.1261200 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1261200 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:7:p:1428-1437 Template-Type: ReDIF-Article 1.0 Author-Name: Jason Sheng-Hong Tsai Author-X-Name-First: Jason Sheng-Hong Author-X-Name-Last: Tsai Author-Name: Ying-Ting Liao Author-X-Name-First: Ying-Ting Author-X-Name-Last: Liao Author-Name: Faezeh Ebrahimzadeh Author-X-Name-First: Faezeh Author-X-Name-Last: Ebrahimzadeh Author-Name: Sheng-Ying Lai Author-X-Name-First: Sheng-Ying Author-X-Name-Last: Lai Author-Name: Te-Jen Su Author-X-Name-First: Te-Jen Author-X-Name-Last: Su Author-Name: Shu-Mei Guo Author-X-Name-First: Shu-Mei Author-X-Name-Last: Guo Author-Name: Leang-San Shieh Author-X-Name-First: Leang-San Author-X-Name-Last: Shieh Author-Name: Tzong-Jiy Tsai Author-X-Name-First: Tzong-Jiy Author-X-Name-Last: Tsai Title: A new PI optimal linear quadratic state-estimate tracker for continuous-time non-square non-minimum phase systems Abstract: Based on the proportional-integral-derivative (PID) filter-shaping approach, this paper presents a new proportional-plus-integral (PI) optimal linear quadratic state estimator (LQSE) for the continuous-time non-square and non-minimum phase (NMP) multivariable systems. Together with the recently developed optimal linear quadratic tracker (LQT), the proposed LQSE-based tracker is able to optimally achieve good minimum phase-like tracking performances for a non-square NMP multivariable system with unmeasurable states and arbitrary command inputs. Journal: International Journal of Systems Science Pages: 1438-1459 Issue: 7 Volume: 48 Year: 2017 Month: 5 X-DOI: 10.1080/00207721.2016.1261201 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1261201 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:7:p:1438-1459 Template-Type: ReDIF-Article 1.0 Author-Name: Seng-Ming Puah Author-X-Name-First: Seng-Ming Author-X-Name-Last: Puah Author-Name: Yen-Chen Liu Author-X-Name-First: Yen-Chen Author-X-Name-Last: Liu Title: Wave-variable framework for networked robotic systems with time delays and packet losses Abstract: This paper investigates the problem of networked control system for nonlinear robotic manipulators under time delays and packet loss by using passivity technique. With the utilisation of wave variables and a passive remote controller, the networked robotic system is demonstrated to be stable with guaranteed position regulation. For the input/output signals of robotic systems, a discretisation block is exploited to convert continuous-time signals to discrete-time signals, and vice versa. Subsequently, we propose a packet management, called wave-variable modulation, to cope with the proposed networked robotic system under time delays and packet losses. Numerical examples and experimental results are presented to demonstrate the performance of the proposed wave-variable-based networked robotic systems. Journal: International Journal of Systems Science Pages: 1472-1484 Issue: 7 Volume: 48 Year: 2017 Month: 5 X-DOI: 10.1080/00207721.2016.1266060 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1266060 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:7:p:1472-1484 Template-Type: ReDIF-Article 1.0 Author-Name: Chedia Latrach Author-X-Name-First: Chedia Author-X-Name-Last: Latrach Author-Name: Mourad Kchaou Author-X-Name-First: Mourad Author-X-Name-Last: Kchaou Author-Name: Hervé Guéguen Author-X-Name-First: Hervé Author-X-Name-Last: Guéguen Title: observer-based decentralised fuzzy control design for nonlinear interconnected systems: an application to vehicle dynamics Abstract: In this study, a decentralised output learning control strategy for a class of nonlinear interconnected systems is studied. Based on Takagi-Sugeno fuzzy (TS) model to approximate the considered interconnected nonlinear systems, a decentralised observer-based control scheme is designed to override the external disturbances such that the H∞$\mathcal {H}_\infty$ performance is achieved. The appealing attributes of this approach include: (1) the closed-loop system exhibits a robustness against nonlinear interconnections and external disturbance, (2) by one-step procedure, the gain matrices of observer and controller are obtained on a single step. In simulation results, the controller design is evaluated on the steering stability of a car where the nonlinear model describes the side slip, roll and yaw motions of the automotive vehicle equipped with four-wheel-steering and active suspension. Journal: International Journal of Systems Science Pages: 1485-1495 Issue: 7 Volume: 48 Year: 2017 Month: 5 X-DOI: 10.1080/00207721.2016.1266527 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1266527 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:7:p:1485-1495 Template-Type: ReDIF-Article 1.0 Author-Name: Baoping Jiang Author-X-Name-First: Baoping Author-X-Name-Last: Jiang Author-Name: Yonggui Kao Author-X-Name-First: Yonggui Author-X-Name-Last: Kao Author-Name: Cunchen Gao Author-X-Name-First: Cunchen Author-X-Name-Last: Gao Title: Non-fragile feedback control with gain performance of uncertain neutral-type stochastic Markovian jump systems Abstract: This paper deals with the problem of robust non-fragile observer-based state feedback control for a class of uncertain neutral-type stochastic Markovian jump systems subject to parameter uncertainties and time-delay. The attention is focused on the design of a non-fragile observer and a non-fragile controller that guarantees exponential mean-square stability and L2$\mathcal {L}_2$ gain performance of the closed-loop system. By using Lyapunov functional theory, delay-dependent less conservative sufficient conditions in terms of linear matrix inequalities (LMIs) based on a new bounded lemma are established to check the feasibility of these two properties. Furthermore, the results are extended to nominal systems without state delay in its derivative. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1496-1506 Issue: 7 Volume: 48 Year: 2017 Month: 5 X-DOI: 10.1080/00207721.2016.1266528 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1266528 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:7:p:1496-1506 Template-Type: ReDIF-Article 1.0 Author-Name: Song Liang Author-X-Name-First: Song Author-X-Name-Last: Liang Author-Name: Ranchao Wu Author-X-Name-First: Ranchao Author-X-Name-Last: Wu Author-Name: Liping Chen Author-X-Name-First: Liping Author-X-Name-Last: Chen Title: BIBO stability of fractional-order controlled nonlinear systems Abstract: The BIBO stability of fractional-order controlled nonlinear systems is investigated in this paper. By introducing the properties of some Mittag-Leffler functions and using an inequality satisfied by the Caputo derivative of a Lyapunov function, sufficient conditions to guarantee the BIBO stability are firstly presented. Then, the boundedness of solutions of the fractional financial system and the fractional low-order atmospheric circulation system are proved by the established stability results. Besides, two illustrative examples verify the theoretical results. Journal: International Journal of Systems Science Pages: 1507-1514 Issue: 7 Volume: 48 Year: 2017 Month: 5 X-DOI: 10.1080/00207721.2016.1269219 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1269219 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:7:p:1507-1514 Template-Type: ReDIF-Article 1.0 Author-Name: Lanlin Yu Author-X-Name-First: Lanlin Author-X-Name-Last: Yu Author-Name: Junlin Xiong Author-X-Name-First: Junlin Author-X-Name-Last: Xiong Title: model reduction for negative imaginary systems Abstract: This paper is concerned with the H∞ model reduction for negative imaginary (NI) systems. For a given linear time-invariant system that is stable and NI, our goal is to find a stable reduced-order NI system satisfying a pre-specified H∞ approximation error bound. Sufficient conditions in terms of matrix inequalities are derived for the existence and construction of an H∞ reduced-order NI system. Iterative algorithms are provided to solve the matrix inequalities and to minimise the H∞ approximation error. Finally, a numerical example is used to demonstrate the effectiveness of the proposed model reduction method. Journal: International Journal of Systems Science Pages: 1515-1521 Issue: 7 Volume: 48 Year: 2017 Month: 5 X-DOI: 10.1080/00207721.2016.1269220 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1269220 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:7:p:1515-1521 Template-Type: ReDIF-Article 1.0 Author-Name: Chen-Yin Wu Author-X-Name-First: Chen-Yin Author-X-Name-Last: Wu Author-Name: Jason Sheng-Hong Tsai Author-X-Name-First: Jason Sheng-Hong Author-X-Name-Last: Tsai Author-Name: Shu-Mei Guo Author-X-Name-First: Shu-Mei Author-X-Name-Last: Guo Author-Name: Te-Jen Su Author-X-Name-First: Te-Jen Author-X-Name-Last: Su Author-Name: Leang-San Shieh Author-X-Name-First: Leang-San Author-X-Name-Last: Shieh Author-Name: Jun-Juh Yan Author-X-Name-First: Jun-Juh Author-X-Name-Last: Yan Title: Novel observer/controller identification method-based minimal realisations in block observable/controllable canonical forms and compensation improvement Abstract: This paper proposes a novel observer/controller identification method for identifying the minimally realised equivalent (reduced-order) mathematical models in the block observer/controller-canonical forms of the unknown (i) open-loop system, (ii) existing feedback/feedforward controllers and/or (iii) observer, based on available measurements of the operating closed-loop system. By skipping the singular value decomposition procedure and without involving the model conversion of the identified model from the general coordinate into the block observer/controller-canonical forms during the identification process, the proposed method is able to directly realise the identified parameters in the minimally realised block observer/controller-canonical forms. This simplifies the system identification process. The new procedures enable us to enhance the computational aspects of designing self-tuning controllers for online adaptive control of (a class of) multivariable systems and to improve the tracking performance considerably. As a result, the newly proposed compensation improvement approach is able to compensate the undesirable operating controller. Journal: International Journal of Systems Science Pages: 1522-1536 Issue: 7 Volume: 48 Year: 2017 Month: 5 X-DOI: 10.1080/00207721.2016.1269221 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1269221 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:7:p:1522-1536 Template-Type: ReDIF-Article 1.0 Author-Name: Shuo Li Author-X-Name-First: Shuo Author-X-Name-Last: Li Author-Name: Zhengrong Xiang Author-X-Name-First: Zhengrong Author-X-Name-Last: Xiang Title: Stabilisation of a class of positive switched nonlinear systems under asynchronous switching Abstract: This paper addresses the stabilisation problem for a class of positive switched nonlinear systems under asynchronous switching, which means that the switches between the candidate controllers and the system modes are not synchronous. The continuous and discrete cases are considered respectively. Sufficient conditions are firstly provided for the existence of the asynchronous switching controllers to guarantee the closed-loop system to be positive and exponentially stable, and the corresponding admissible switching signals are presented. As a special case, the stabilisation results for positive switched linear systems under asynchronous switching are provided accordingly. Finally, two numerical examples are given to illustrate the effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 1537-1547 Issue: 7 Volume: 48 Year: 2017 Month: 5 X-DOI: 10.1080/00207721.2016.1271916 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1271916 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:7:p:1537-1547 Template-Type: ReDIF-Article 1.0 Author-Name: Zhongyang Fei Author-X-Name-First: Zhongyang Author-X-Name-Last: Fei Author-Name: Chaoxu Guan Author-X-Name-First: Chaoxu Author-X-Name-Last: Guan Author-Name: Zhicheng Li Author-X-Name-First: Zhicheng Author-X-Name-Last: Li Author-Name: Yinliang Xu Author-X-Name-First: Yinliang Author-X-Name-Last: Xu Title: On Finite frequency performance for discrete linear time delay systems Abstract: This paper is concerned with the finite frequency H∞ performance of discrete linear systems with time delay. The disturbance of the system is considered to be restricted in low/middle/high frequency. A novel summation inequality is proposed by including more free weighed matrices. Then by using generalised Kalman–Yakubovich–Popov Lemma and a Lyapunov–Krasovskii functional like method, a new bounded real lemma is presented for the finite frequency H∞ performance analysis. The advantages and reduced conservatism of the new criterion are illustrated by a classical example from the literature. Journal: International Journal of Systems Science Pages: 1548-1555 Issue: 7 Volume: 48 Year: 2017 Month: 5 X-DOI: 10.1080/00207721.2016.1271917 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1271917 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:7:p:1548-1555 Template-Type: ReDIF-Article 1.0 Author-Name: Cheng Zeng Author-X-Name-First: Cheng Author-X-Name-Last: Zeng Author-Name: Shuwen Xiang Author-X-Name-First: Shuwen Author-X-Name-Last: Xiang Author-Name: Shan Liang Author-X-Name-First: Shan Author-X-Name-Last: Liang Title: Asymptotic behaviours and stability of zero dynamics in nonlinear discrete-time systems using Taylor approach and multirate input Abstract: It is well known that the existence of unstable sampled zero dynamics is recognised as a major barrier in many control problems. When the usual digital control with zero-order hold (ZOH) or fractional-order hold (FROH) input is used, unstable sampled zero dynamics inevitably appear in the discrete-time model even though the continuous-time system with relative degree more than or equal to three is of minimum phase. In this paper, we show how an approximate sampled-data model can be obtained for nonlinear systems by the use of multirate input and hold such as a generalised sample hold function (GSHF) in order that discrete zero dynamics of the resulting model can be arbitrarily placed. Furthermore, the properties of sampled zero dynamics are studied and the conditions for ensuring the stability of sampling zero dynamics of the desired model are derived. The results presented here generalise well-known notion of sampling zero dynamics from the linear case to nonlinear systems, and GSHF can provide some advantages over ZOH or FROH in terms of stability of discrete system zero dynamics. Journal: International Journal of Systems Science Pages: 1556-1568 Issue: 7 Volume: 48 Year: 2017 Month: 5 X-DOI: 10.1080/00207721.2016.1274790 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1274790 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:7:p:1556-1568 Template-Type: ReDIF-Article 1.0 Author-Name: Sumitra S. Nair Author-X-Name-First: Sumitra S. Author-X-Name-Last: Nair Author-Name: Tony J. Dodd Author-X-Name-First: Tony J. Author-X-Name-Last: Dodd Title: Supervised pre-clustering for sparse regression Abstract: Kernel algorithms for large data-sets are now an active research area motivated by the many real world problems producing very large numbers of data points. However, standard kernel methods scale poorly with the size of the data-set. We propose a mathematically motivated approach to sparse function estimation that utilises the uniform continuity properties of functions in continuous reproducing kernel Hilbert spaces (RKHS) defined on compact domains. Using the uniform continuity properties of the function a similarity measure on data points is defined that allows data to be pre-clustered. Unlike previous methods for sparse function estimation using clustering the proposed approach is supervised and relies on well-defined mathematical concepts. The cluster centres are used to form a sparse RKHS subspace within which the function is estimated. The greedy pre-clustering algorithms and sparse model based on pre-clustering and committee machine techniques are presented. Results are presented to demonstrate the application of the proposed algorithms on function approximation problems. Journal: International Journal of Systems Science Pages: 1161-1171 Issue: 7 Volume: 46 Year: 2015 Month: 5 X-DOI: 10.1080/00207721.2013.811312 File-URL: http://hdl.handle.net/10.1080/00207721.2013.811312 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:7:p:1161-1171 Template-Type: ReDIF-Article 1.0 Author-Name: Ata Allah Taleizadeh Author-X-Name-First: Ata Allah Author-X-Name-Last: Taleizadeh Author-Name: Hadi Samimi Author-X-Name-First: Hadi Author-X-Name-Last: Samimi Author-Name: Babak Mohammadi Author-X-Name-First: Babak Author-X-Name-Last: Mohammadi Title: Joint replenishment policy with backordering and special sale Abstract: In this paper, an inventory control model with a joint replenishment policy and a temporary discount is developed. We assume that shortage is allowed and buyer uses an economic order quantity inventory control model. Different cases based on ordering policies for the first joint replenishment if the special order is not taken, and coincidence of a special period length with a positive or negative inventory level of the last regular period length, are investigated. Furthermore, several theorems are proved through which closed-form solutions are obtained. At the end, two numerical examples illustrate the different situations that the buyer may face and sensitivity analyses for both examples are reported. Journal: International Journal of Systems Science Pages: 1172-1198 Issue: 7 Volume: 46 Year: 2015 Month: 5 X-DOI: 10.1080/00207721.2013.815821 File-URL: http://hdl.handle.net/10.1080/00207721.2013.815821 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:7:p:1172-1198 Template-Type: ReDIF-Article 1.0 Author-Name: Mohammad Doostparast Author-X-Name-First: Mohammad Author-X-Name-Last: Doostparast Author-Name: Farhad Kolahan Author-X-Name-First: Farhad Author-X-Name-Last: Kolahan Author-Name: Mahdi Doostparast Author-X-Name-First: Mahdi Author-X-Name-Last: Doostparast Title: Optimisation of PM scheduling for multi-component systems – a simulated annealing approach Abstract: Proper planning of preventive maintenance (PM) is crucial in many industries such as oil transmission pipelines, automotive and food industries. A critical decision in the PM plans is to determine frequencies and types of maintenance actions in order to achieve a certain level of system availability with a minimum total cost. In this paper, we consider the problem of obtaining availability-based non-periodic optimal PM planning for systems with deteriorating components. The objective is to sustain a certain level of availability with the minimal total maintenance-related costs. In the proposed approach, the planning horizon is divided into some inspection periods of equal intervals. For any given interval, a decision must be made to perform one of the three actions on each component; inspection, preventive repair and preventive replacement. Any of these activities has different effects on the reliability of the components and the corresponding distinct costs based on the required recourses. The cost function includes the cost for repair, replacement, system downtime and random failures. System availability and PM resources are the main constraints considered. Since the proposed model is combinatorial in nature involving non-linear decision variables, a simulated annealing algorithm is employed to provide good solutions within a reasonable time. Journal: International Journal of Systems Science Pages: 1199-1207 Issue: 7 Volume: 46 Year: 2015 Month: 5 X-DOI: 10.1080/00207721.2013.815822 File-URL: http://hdl.handle.net/10.1080/00207721.2013.815822 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:7:p:1199-1207 Template-Type: ReDIF-Article 1.0 Author-Name: Hossein Parastvand Author-X-Name-First: Hossein Author-X-Name-Last: Parastvand Author-Name: Mohammad-Javad Khosrowjerdi Author-X-Name-First: Mohammad-Javad Author-X-Name-Last: Khosrowjerdi Title: Controller synthesis free of analytical model: fixed-order controllers Abstract: This paper extends the existing results on model-free approach for three-term controllers to fixed-order controllers. It is shown that knowing the frequency response of a plant is sufficient to calculate a subset of stabilising fixed-order controllers using a set of linear inequalities. The main feature of the proposed approach is that the possible lowest order stabilising controllers corresponding to any stable, unstable, minimum and non-minimum phase plants can be obtained. Also, it is shown that the performance criterion can be transformed to simultaneously stabilising problem for a family of real and complex plants derived from the nominal plant. The usefulness of the proposed approach is illustrated by some examples. Journal: International Journal of Systems Science Pages: 1208-1221 Issue: 7 Volume: 46 Year: 2015 Month: 5 X-DOI: 10.1080/00207721.2013.815823 File-URL: http://hdl.handle.net/10.1080/00207721.2013.815823 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:7:p:1208-1221 Template-Type: ReDIF-Article 1.0 Author-Name: Yonmook Park Author-X-Name-First: Yonmook Author-X-Name-Last: Park Title: Robust and optimal attitude control of spacecraft with disturbances Abstract: In this paper, a robust and optimal attitude control design that uses the Euler angles and angular velocities feedback is presented for regulation of spacecraft with disturbances. In the control design, it is assumed that the disturbance signal has the information of the system state. In addition, it is assumed that the disturbance signal tries to maximise the same performance index that the control input tries to minimise. After proposing a robust attitude control law that can stabilise the complete attitude motion of spacecraft with disturbances, the optimal attitude control problem of spacecraft is formulated as the optimal game-theoretic problem. Then it is shown that the proposed robust attitude control law is the optimal solution of the optimal game-theoretic problem. The stability of the closed-loop system for the proposed robust and optimal control law is proven by the LaSalle invariance principle. The theoretical results presented in this paper are illustrated by a numerical example. Journal: International Journal of Systems Science Pages: 1222-1233 Issue: 7 Volume: 46 Year: 2015 Month: 5 X-DOI: 10.1080/00207721.2013.815824 File-URL: http://hdl.handle.net/10.1080/00207721.2013.815824 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:7:p:1222-1233 Template-Type: ReDIF-Article 1.0 Author-Name: Lei Wang Author-X-Name-First: Lei Author-X-Name-Last: Wang Author-Name: Wei Qian Author-X-Name-First: Wei Author-X-Name-Last: Qian Author-Name: Qing-Guo Wang Author-X-Name-First: Qing-Guo Author-X-Name-Last: Wang Title: Bounded synchronisation of a time-varying dynamical network with nonidentical nodes Abstract: This paper investigates the global bounded synchronisation problem of complex dynamical networks of coupled nonidentical nodes with general time-varying topology through the Lyapunov function and graph theory. Several sufficient conditions in form of scalar inequalities are established so that the global bounded synchronisation of the general dynamical network can be evaluated by the stability of a linear time-varying system and the boundedness of a nonlinear function, both associated with the dynamics of nonidentical nodes. These analytical results are simple yet generic, without assuming the symmetry coupling configuration matrix or calculating their eigenvalues. They can be used to explore synchronisation issues of various complex networks. Numerical simulations show their effectiveness. Journal: International Journal of Systems Science Pages: 1234-1245 Issue: 7 Volume: 46 Year: 2015 Month: 5 X-DOI: 10.1080/00207721.2013.815825 File-URL: http://hdl.handle.net/10.1080/00207721.2013.815825 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:7:p:1234-1245 Template-Type: ReDIF-Article 1.0 Author-Name: Saeed Yaghoubi Author-X-Name-First: Saeed Author-X-Name-Last: Yaghoubi Title: Due-date assignment for multi-server multi-stage assembly systems Abstract: In this paper, we attempt to present a constant due-date assignment policy in a multi-server multi-stage assembly system. This system is modelled as a queuing network, where new product orders are entered into the system according to a Poisson process. It is assumed that only one type of product is produced by the production system and multi-servers can be settled in each service station. Each operation of every work is operated at a devoted service station with only one of the servers located at a node of the network based on first come, first served (FCFS) discipline, while the processing times are independent random variables with exponential distributions. It is also assumed that the transport times between each pair of service stations are independent random variables with generalised Erlang distributions. Each product's end result has a penalty cost that is some linear function of its due date and its actual lead time. The due date is calculated by adding a constant to the time that the order enters into the system. Indeed, this constant value is decided at the beginning of the time horizon and is the constant lead time that a product might expect between the time of placing the order and the time of delivery. For computing the due date, we first convert the queuing network into a stochastic network with exponentially distributed arc lengths. Then, by constructing an appropriate finite-state continuous-time Markov model, a system of differential equations is created to find the manufacturing lead-time distribution for any particular product, analytically. Finally, the constant due date for delivery time is obtained by using a linear function of its due date and minimising the expected aggregate cost per product. Journal: International Journal of Systems Science Pages: 1246-1256 Issue: 7 Volume: 46 Year: 2015 Month: 5 X-DOI: 10.1080/00207721.2013.815826 File-URL: http://hdl.handle.net/10.1080/00207721.2013.815826 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:7:p:1246-1256 Template-Type: ReDIF-Article 1.0 Author-Name: Roya Tat Author-X-Name-First: Roya Author-X-Name-Last: Tat Author-Name: Ata Allah Taleizadeh Author-X-Name-First: Ata Allah Author-X-Name-Last: Taleizadeh Author-Name: Maryam Esmaeili Author-X-Name-First: Maryam Author-X-Name-Last: Esmaeili Title: Developing economic order quantity model for non-instantaneous deteriorating items in vendor-managed inventory (VMI) system Abstract: This paper develops an economic order quantity model for non-instantaneous deteriorating items with and without shortages to investigate the performance of the vendor-managed inventory (VMI) system. This model is developed for a two-level supply chain consisting of a single supplier and single retailer with a single non-instantaneous deteriorating item. A numerical example and sensitivity analysis are provided to illustrate how increasing or reducing the related parameters change the optimal values of the decision variables of the two proposed models. The results show that VMI works better and charges lower cost in all conditions. Journal: International Journal of Systems Science Pages: 1257-1268 Issue: 7 Volume: 46 Year: 2015 Month: 5 X-DOI: 10.1080/00207721.2013.815827 File-URL: http://hdl.handle.net/10.1080/00207721.2013.815827 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:7:p:1257-1268 Template-Type: ReDIF-Article 1.0 Author-Name: Brojeswar Pal Author-X-Name-First: Brojeswar Author-X-Name-Last: Pal Author-Name: Shib Sankar Sana Author-X-Name-First: Shib Sankar Author-X-Name-Last: Sana Author-Name: Kripasindhu Chaudhuri Author-X-Name-First: Kripasindhu Author-X-Name-Last: Chaudhuri Title: A distribution-free newsvendor problem with nonlinear holding cost Abstract: In this paper, we analyse a single-period newsvendor model to determine the optimal order quantity where the customers’ balking occurs.This scenario occurs when the customers are opposed to buy a product for various reasons, such as decreasing quality of product, product is not as good as fresh when it reaches under a threshold level, etc. The model is investigated by assuming that the holding cost function depends on order quantity and the inventory level at which customer balking occurs depends on holding cost. The model allows partial backlogging and permits part of the backlogged shortages to turn into lost sales. We develop the model without taking any specific distributional form of demand, only assuming the mean and the variance of the distribution of demand. Finally, we illustrate the model by numerical examples and compare our distribution-free model with the specific distributional form of demand. Journal: International Journal of Systems Science Pages: 1269-1277 Issue: 7 Volume: 46 Year: 2015 Month: 5 X-DOI: 10.1080/00207721.2013.815828 File-URL: http://hdl.handle.net/10.1080/00207721.2013.815828 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:7:p:1269-1277 Template-Type: ReDIF-Article 1.0 Author-Name: Qiang Yu Author-X-Name-First: Qiang Author-X-Name-Last: Yu Author-Name: Baowei Wu Author-X-Name-First: Baowei Author-X-Name-Last: Wu Title: Robust stability analysis of uncertain switched linear systems with unstable subsystems Abstract: The problem of robust stability for switched linear systems with all the subsystems being unstable is investigated. Unlike the most existing results in which each switching mode in the system is asymptotically stable, the subsystems may be unstable in this paper. A necessary condition of stability for switched linear systems is first obtained with certain hypothesis. Then, under two assumptions, sufficient conditions of exponential stability for both deterministic and uncertain switched linear systems are presented by using the invariant subspace theory and average dwell time method. Moreover, we further develop multiple Lyapunov functions and propose a method for constructing multiple Lyapunov functions for the considered switched linear systems with certain switching law. Several examples are included to show the effectiveness of the theoretical findings. Journal: International Journal of Systems Science Pages: 1278-1287 Issue: 7 Volume: 46 Year: 2015 Month: 5 X-DOI: 10.1080/00207721.2013.816089 File-URL: http://hdl.handle.net/10.1080/00207721.2013.816089 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:7:p:1278-1287 Template-Type: ReDIF-Article 1.0 Author-Name: Yunliang Wei Author-X-Name-First: Yunliang Author-X-Name-Last: Wei Author-Name: Wei Xing Zheng Author-X-Name-First: Wei Xing Author-X-Name-Last: Zheng Author-Name: Ze Li Author-X-Name-First: Ze Author-X-Name-Last: Li Author-Name: Guangdeng Zong Author-X-Name-First: Guangdeng Author-X-Name-Last: Zong Title: Anti-windup design of uncertain discrete-time Markovian jump systems with partially known transition probabilities and saturating actuator Abstract: This paper carries out a study on the design of anti-windup gains for uncertain discrete-time Markovian jump systems subject to both actuator saturation and partially known transition probabilities. The parameter uncertainties appearing in both the state and input matrices are assumed to be time-varying and norm-bounded. Under the assumption that a set of linear dynamic output feedback controllers have been designed to stabilise the Markovian jump system in the absence of actuator saturation, anti-windup compensation gains are designed for maximising the domain of attraction of the closed-loop system with actuator saturation. Then, by solving a convex optimisation problem with constraints of a set of linear matrix inequalities, the anti-windup compensation gains are obtained. A simulation example is provided to illustrate the effectiveness of the proposed technique. Journal: International Journal of Systems Science Pages: 1288-1298 Issue: 7 Volume: 46 Year: 2015 Month: 5 X-DOI: 10.1080/00207721.2013.819949 File-URL: http://hdl.handle.net/10.1080/00207721.2013.819949 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:7:p:1288-1298 Template-Type: ReDIF-Article 1.0 Author-Name: Wenping Xu Author-X-Name-First: Wenping Author-X-Name-Last: Xu Author-Name: Zongjun Wang Author-X-Name-First: Zongjun Author-X-Name-Last: Wang Author-Name: Liu Hong Author-X-Name-First: Liu Author-X-Name-Last: Hong Author-Name: Ligang He Author-X-Name-First: Ligang Author-X-Name-Last: He Author-Name: Xueguang Chen Author-X-Name-First: Xueguang Author-X-Name-Last: Chen Title: The uncertainty recovery analysis for interdependent infrastructure systems using the dynamic inoperability input–output model Abstract: In this paper, an innovatory modelling framework is proposed to conduct the uncertainty recovery analysis for the interdependent infrastructure sectors based on the dynamic inoperability input–output model (DIIM). The DIIM captures the inoperability of infrastructure systems, and therefore can easily analyse how perturbations propagate among interconnected infrastructures and how to implement effective mitigation efforts after a disaster. In this paper, based on the random recovery time distribution, we apply the Monte Carlo simulation to obtain the distributions of the economic losses for the critical interdependent infrastructure sectors after a disaster. The proposed method can provide the decision-makers the guidance in making suitable risk-management decisions as well as how the risks can be mitigated, if the disaster cannot be avoided to happen in the first place. Journal: International Journal of Systems Science Pages: 1299-1306 Issue: 7 Volume: 46 Year: 2015 Month: 5 X-DOI: 10.1080/00207721.2013.822121 File-URL: http://hdl.handle.net/10.1080/00207721.2013.822121 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:7:p:1299-1306 Template-Type: ReDIF-Article 1.0 Author-Name: Bin Hu Author-X-Name-First: Bin Author-X-Name-Last: Hu Author-Name: Zhi-Hong Guan Author-X-Name-First: Zhi-Hong Author-X-Name-Last: Guan Author-Name: Rui-Quan Liao Author-X-Name-First: Rui-Quan Author-X-Name-Last: Liao Author-Name: Ding-Xue Zhang Author-X-Name-First: Ding-Xue Author-X-Name-Last: Zhang Author-Name: Gui-Lin Zheng Author-X-Name-First: Gui-Lin Author-X-Name-Last: Zheng Title: Consensus-based distributed optimisation of multi-agent networks via a two level subgradient-proximal algorithm Abstract: This paper presents a consensus-based stochastic subgradient algorithm for multi-agent networks to minimise multiple convex but not necessarily differential objective functions, subject to an intersection set of multiple closed convex constraint sets. Compared with the existing results an alternative subgradient algorithm is first introduced based on two level subgradient iterations, where the first level is to minimise the component functions, and the second to enforce the iterates not oscillate from the constraint set wildly. In addition, a distributed consensus-based type of the proposed subgradient algorithm is constructed within the framework of multi-agent networks for the case when the iteration index of local objective functions and local constraint sets is not homologous. Detailed convergence analysis of the proposed algorithms is established using matrix theories and super-martingale convergence theorem. In addition, a pre-step convergence factor is obtained in this study to characterise the distance between the iterations and the optimal set, while some existing literatures only present a convergence work. Simulation results are given to demonstrate the effectiveness of the developed theoretical results. Journal: International Journal of Systems Science Pages: 1307-1318 Issue: 7 Volume: 46 Year: 2015 Month: 5 X-DOI: 10.1080/00207721.2013.822122 File-URL: http://hdl.handle.net/10.1080/00207721.2013.822122 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:7:p:1307-1318 Template-Type: ReDIF-Article 1.0 Author-Name: Yong He Author-X-Name-First: Yong Author-X-Name-Last: He Author-Name: Li Sun Author-X-Name-First: Li Author-X-Name-Last: Sun Title: One-machine scheduling problems with deteriorating jobs and position-dependent learning effects under group technology considerations Abstract: In this paper, we introduce a group scheduling model with general deteriorating jobs and learning effects in which deteriorating jobs and learning effects are both considered simultaneously. This means that the actual processing time of a job depends not only on the processing time of the jobs already processed, but also on its scheduled position. In our model, the group setup times are general linear functions of their starting times and the jobs in the same group have general position-dependent learning effects and time-dependent deterioration. The objective of scheduling problems is to minimise the makespan and the sum of completion times, respectively. We show that the problems remain solvable in polynomial time under the proposed model. Journal: International Journal of Systems Science Pages: 1319-1326 Issue: 7 Volume: 46 Year: 2015 Month: 5 X-DOI: 10.1080/00207721.2013.822126 File-URL: http://hdl.handle.net/10.1080/00207721.2013.822126 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:7:p:1319-1326 Template-Type: ReDIF-Article 1.0 Author-Name: Dong Huang Author-X-Name-First: Dong Author-X-Name-Last: Huang Author-Name: Xiaolong Wang Author-X-Name-First: Xiaolong Author-X-Name-Last: Wang Author-Name: Ronggang Dou Author-X-Name-First: Ronggang Author-X-Name-Last: Dou Author-Name: Shiwen Liu Author-X-Name-First: Shiwen Author-X-Name-Last: Liu Author-Name: Jia Fang Author-X-Name-First: Jia Author-X-Name-Last: Fang Title: -gram distribution and unification gain problem and its optimal solution Abstract: N-gram distribution and unification gain is a type of problem in which objects obtain gain after a series of regular actions, such as ‘distributions’ and ‘unifications’. The uncertainty return forms of the gain lead to the complexity of the whole gain process in the problem we propose. The gain path is usually concurrent and consecutive to the timeline in practice; thus, we are unable to solve the problem and obtain the optimal path or overall gain at a certain time using the optimal path algorithm alone. Therefore, the N-gram distribution and unification gain model, which utilises a new dynamic programming algorithm in solving problems, is proposed. This procedure facilitates the solving of similar comprehensive gain problems and obtaining important information, such as the optimal gain path and the overall gain. Journal: International Journal of Systems Science Pages: 1327-1336 Issue: 7 Volume: 46 Year: 2015 Month: 5 X-DOI: 10.1080/00207721.2013.822608 File-URL: http://hdl.handle.net/10.1080/00207721.2013.822608 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:7:p:1327-1336 Template-Type: ReDIF-Article 1.0 Author-Name: GaiYun Liu Author-X-Name-First: GaiYun Author-X-Name-Last: Liu Author-Name: Kamel Barkaoui Author-X-Name-First: Kamel Author-X-Name-Last: Barkaoui Title: Necessary and sufficient liveness condition of GSPR Petri nets Abstract: Structural analysis is one of the most important and efficient methods to investigate the behaviour of Petri nets. Liveness is a significant behavioural property of Petri nets. Siphons, as structural objects of a Petri net, are closely related to its liveness. Many deadlock control policies for flexible manufacturing systems (FMS) modelled by Petri nets are implemented via siphon control. Most of the existing methods design liveness-enforcing supervisors by adding control places for siphons based on their controllability conditions. To compute a liveness-enforcing supervisor with as much as permissive behaviour, it is both theoretically and practically significant to find an exact controllability condition for siphons. However, the existing conditions, max, max′, and max″-controllability of siphons are all overly restrictive and generally sufficient only. This paper develops a new condition called max*-controllability of the siphons in generalised systems of simple sequential processes with resources (GS3PR), which are a net subclass that can model many real-world automated manufacturing systems. We show that a GS3PR is live if all its strict minimal siphons (SMS) are max*-controlled. Compared with the existing conditions, i.e., max-, max′-, and max″-controllability of siphons, max*-controllability of the SMS is not only sufficient but also necessary. An example is used to illustrate the proposed method. Journal: International Journal of Systems Science Pages: 1147-1160 Issue: 7 Volume: 46 Year: 2015 Month: 5 X-DOI: 10.1080/00207721.2013.827257 File-URL: http://hdl.handle.net/10.1080/00207721.2013.827257 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:7:p:1147-1160 Template-Type: ReDIF-Article 1.0 Author-Name: Jiajun Shen Author-X-Name-First: Jiajun Author-X-Name-Last: Shen Author-Name: Dongqin Feng Author-X-Name-First: Dongqin Author-X-Name-Last: Feng Title: A game-theoretic method for cross-layer stochastic resilient control design in CPS Abstract: In this paper, the cross-layer security problem of cyber-physical system (CPS) is investigated from the game-theoretic perspective. Physical dynamics of plant is captured by stochastic differential game with cyber-physical influence being considered. The sufficient and necessary condition for the existence of state-feedback equilibrium strategies is given. The attack-defence cyber interactions are formulated by a Stackelberg game intertwined with stochastic differential game in physical layer. The condition such that the Stackelberg equilibrium being unique and the corresponding analytical solutions are both provided. An algorithm is proposed for obtaining hierarchical security strategy by solving coupled games, which ensures the operational normalcy and cyber security of CPS subject to uncertain disturbance and unexpected cyberattacks. Simulation results are given to show the effectiveness and performance of the proposed algorithm. Journal: International Journal of Systems Science Pages: 677-691 Issue: 4 Volume: 49 Year: 2018 Month: 3 X-DOI: 10.1080/00207721.2017.1406555 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1406555 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:4:p:677-691 Template-Type: ReDIF-Article 1.0 Author-Name: Chun Liu Author-X-Name-First: Chun Author-X-Name-Last: Liu Author-Name: Bin Jiang Author-X-Name-First: Bin Author-X-Name-Last: Jiang Author-Name: Ke Zhang Author-X-Name-First: Ke Author-X-Name-Last: Zhang Title: Integrated multiple-model adaptive fault identification and reconfigurable fault-tolerant control for Lead-Wing close formation systems Abstract: This paper investigates the attitude and position tracking control problem for Lead-Wing close formation systems in the presence of loss of effectiveness and lock-in-place or hardover failure. In close formation flight, Wing unmanned aerial vehicle movements are influenced by vortex effects of the neighbouring Lead unmanned aerial vehicle. This situation allows modelling of aerodynamic coupling vortex-effects and linearisation based on optimal close formation geometry. Linearised Lead-Wing close formation model is transformed into nominal robust H-infinity models with respect to Mach hold, Heading hold, and Altitude hold autopilots; static feedback H-infinity controller is designed to guarantee effective tracking of attitude and position while manoeuvring Lead unmanned aerial vehicle. Based on H-infinity control design, an integrated multiple-model adaptive fault identification and reconfigurable fault-tolerant control scheme is developed to guarantee asymptotic stability of close-loop systems, error signal boundedness, and attitude and position tracking properties. Simulation results for Lead-Wing close formation systems validate the efficiency of the proposed integrated multiple-model adaptive control algorithm. Journal: International Journal of Systems Science Pages: 701-717 Issue: 4 Volume: 49 Year: 2018 Month: 3 X-DOI: 10.1080/00207721.2017.1416430 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1416430 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:4:p:701-717 Template-Type: ReDIF-Article 1.0 Author-Name: T. J. Moir Author-X-Name-First: T. J. Author-X-Name-Last: Moir Title: Toeplitz matrices for LTI systems, an illustration of their application to Wiener filters and estimators Abstract: The Wiener–Kolmogorov theory of filtering has been with us since the first half of the twentieth century. A later matrix-based approach which was more general was derived with the steady-state Kalman filter. This approach uses a novel method of representing causal and uncausal systems in the form of convolution matrices and leads to a Wiener solution which is much easier to calculate than either the Kalman or Wiener approaches. For coloured additive noise, it avoids the use of Diophantine equations. The key idea missing in previous work is the close link between polynomials and Toeplitz matrices which are lower triangular in form. There is already a reasonably sized literature in the mathematics field on such matrices and so the area is ripe for exploration. Although the method does not offer a different or better solution, it shows a completely new way of defining linear time-invariant (LTI) systems which is neither transfer-function nor state-space-based. This is achieved by exploiting the connection between polynomials and Toeplitz matrices. The application here is the Wiener filter but there could well be many more as this is a generic approach. Journal: International Journal of Systems Science Pages: 800-817 Issue: 4 Volume: 49 Year: 2018 Month: 3 X-DOI: 10.1080/00207721.2017.1419306 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1419306 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:4:p:800-817 Template-Type: ReDIF-Article 1.0 Author-Name: Junfeng Zhang Author-X-Name-First: Junfeng Author-X-Name-Last: Zhang Author-Name: Xianglei Jia Author-X-Name-First: Xianglei Author-X-Name-Last: Jia Author-Name: Ridong Zhang Author-X-Name-First: Ridong Author-X-Name-Last: Zhang Author-Name: Yan Zuo Author-X-Name-First: Yan Author-X-Name-Last: Zuo Title: A model predictive control framework for constrained uncertain positive systems Abstract: In this paper, a new model predictive control framework is proposed for positive systems subject to input/state constraints and interval/polytopic uncertainty. Instead of traditional quadratic performance index, simple linear performance index, linear Lyapunov function, cone invariant set with linear form and linear computation tool are first adopted. Then, a control law that can handle the constraints and robustly stabilise the systems is proposed. The advantages of the new framework lie in the following facts: (1) an equivalent linear problem is formulated that can be easily solved than other problems including the quadratic ones, (2) simple linear index and linear tool can be used based on the essential property of positive systems to achieve the desired control performance and (3) a general model predictive control law without sign restriction is designed. Finally, an attempt of application on mitigating viral escape is provided to verify the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 884-896 Issue: 4 Volume: 49 Year: 2018 Month: 3 X-DOI: 10.1080/00207721.2017.1419307 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1419307 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:4:p:884-896 Template-Type: ReDIF-Article 1.0 Author-Name: M. Syed Ali Author-X-Name-First: M. Author-X-Name-Last: Syed Ali Author-Name: J. Yogambigai Author-X-Name-First: J. Author-X-Name-Last: Yogambigai Author-Name: O. M. Kwon Author-X-Name-First: O. M. Author-X-Name-Last: Kwon Title: Finite-time robust passive control for a class of switched reaction-diffusion stochastic complex dynamical networks with coupling delays and impulsive control Abstract: Finite-time boundedness and finite-time passivity for a class of switched stochastic complex dynamical networks (CDNs) with coupling delays, parameter uncertainties, reaction-diffusion term and impulsive control are studied. Novel finite-time synchronisation criteria are derived based on passivity theory. This paper proposes a CDN consisting of N linearly and diffusively coupled identical reaction- diffusion neural networks. By constructing of a suitable Lyapunov–Krasovskii's functional and utilisation of Jensen’s inequality and Wirtinger's inequality, new finite-time passivity criteria for the networks are established in terms of linear matrix inequalities (LMIs), which can be checked numerically using the effective LMI toolbox in MATLAB. Finally, two interesting numerical examples are given to show the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 718-735 Issue: 4 Volume: 49 Year: 2018 Month: 3 X-DOI: 10.1080/00207721.2017.1421723 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1421723 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:4:p:718-735 Template-Type: ReDIF-Article 1.0 Author-Name: Satyam Paul Author-X-Name-First: Satyam Author-X-Name-Last: Paul Author-Name: Wen Yu Author-X-Name-First: Wen Author-X-Name-Last: Yu Author-Name: Xiaoou Li Author-X-Name-First: Xiaoou Author-X-Name-Last: Li Title: Bidirectional active control of structures with type-2 fuzzy PD and PID Abstract: Proportional-derivative and proportional-integral-derivative (PD/PID) controllers are popular algorithms in structure vibration control. In order to maintain minimum regulation error, the PD/PID control require big proportional and derivative gains. The control performances are not satisfied because of the big uncertainties in the buildings. In this paper, type-2 fuzzy system is applied to compensate the unknown uncertainties, and is combined with the PD/PID control. We prove the stability of these fuzzy PD and PID controllers. The sufficient conditions can be used for choosing the gains of PD/PID. The theory results are verified by a two-storey building prototype. The experimental results validate our analysis. Journal: International Journal of Systems Science Pages: 766-782 Issue: 4 Volume: 49 Year: 2018 Month: 3 X-DOI: 10.1080/00207721.2017.1421724 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1421724 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:4:p:766-782 Template-Type: ReDIF-Article 1.0 Author-Name: Massoud Hemmasian Ettefagh Author-X-Name-First: Massoud Author-X-Name-Last: Hemmasian Ettefagh Author-Name: Mahyar Naraghi Author-X-Name-First: Mahyar Author-X-Name-Last: Naraghi Author-Name: Jose De Dona Author-X-Name-First: Jose Author-X-Name-Last: De Dona Author-Name: Farzad Towhidkhah Author-X-Name-First: Farzad Author-X-Name-Last: Towhidkhah Title: Orthonormal function parametrisation of model-predictive control for linear time-varying systems Abstract: It is well known that some practical difficulties are involved in the implementation of stabilising model predictive control for time-varying systems. In order to address the difficulty of computational load, this paper extends the orthonormal function method for model predictive control to linear time-varying systems. We provide sufficient conditions for a sub-optimal model predictive controller to be stabilising for a time-varying system. It is also shown that the orthonormal parametrisation method enables us to reduce the number of decision variables significantly and with a satisfactory performance. In addition, it is shown that orthonormality and, the called for, long prediction horizons are not necessary for stability. Examples are provided, illustrating the effectiveness of the method for linear time-varying systems. Journal: International Journal of Systems Science Pages: 868-883 Issue: 4 Volume: 49 Year: 2018 Month: 3 X-DOI: 10.1080/00207721.2017.1422813 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1422813 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:4:p:868-883 Template-Type: ReDIF-Article 1.0 Author-Name: M. Syed Ali Author-X-Name-First: M. Syed Author-X-Name-Last: Ali Author-Name: Quanxin Zhu Author-X-Name-First: Quanxin Author-X-Name-Last: Zhu Author-Name: S. Pavithra Author-X-Name-First: S. Author-X-Name-Last: Pavithra Author-Name: N. Gunasekaran Author-X-Name-First: N. Author-X-Name-Last: Gunasekaran Title: A study on ⟨(Q,S,R)-γ⟩$\langle (\mathcal {Q},\mathcal {S},\mathcal {R})-\gamma \rangle$-dissipative synchronisation of coupled reaction–diffusion neural networks with time-varying delays Abstract: This study examines the problem of dissipative synchronisation of coupled reaction–diffusion neural networks with time-varying delays. This paper proposes a complex dynamical network consisting of N linearly and diffusively coupled identical reaction–diffusion neural networks. By constructing a suitable Lyapunov–Krasovskii functional (LKF), utilisation of Jensen's inequality and reciprocally convex combination (RCC) approach, strictly 〈(Q,S,R)-γ〉$\big \langle (\mathcal {Q},\mathcal {S},\mathcal {R})-\gamma \big \rangle$-dissipative conditions of the addressed systems are derived. Finally, a numerical example is given to show the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 755-765 Issue: 4 Volume: 49 Year: 2018 Month: 3 X-DOI: 10.1080/00207721.2017.1422814 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1422814 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:4:p:755-765 Template-Type: ReDIF-Article 1.0 Author-Name: Zhonghua Liu Author-X-Name-First: Zhonghua Author-X-Name-Last: Liu Author-Name: Gang Liu Author-X-Name-First: Gang Author-X-Name-Last: Liu Author-Name: Jiexin Pu Author-X-Name-First: Jiexin Author-X-Name-Last: Pu Author-Name: Xiaohong Wang Author-X-Name-First: Xiaohong Author-X-Name-Last: Wang Author-Name: Haijun Wang Author-X-Name-First: Haijun Author-X-Name-Last: Wang Title: Orthogonal sparse linear discriminant analysis Abstract: Linear discriminant analysis (LDA) is a linear feature extraction approach, and it has received much attention. On the basis of LDA, researchers have done a lot of research work on it, and many variant versions of LDA were proposed. However, the inherent problem of LDA cannot be solved very well by the variant methods. The major disadvantages of the classical LDA are as follows. First, it is sensitive to outliers and noises. Second, only the global discriminant structure is preserved, while the local discriminant information is ignored. In this paper, we present a new orthogonal sparse linear discriminant analysis (OSLDA) algorithm. The k nearest neighbour graph is first constructed to preserve the locality discriminant information of sample points. Then, L2,1-norm constraint on the projection matrix is used to act as loss function, which can make the proposed method robust to outliers in data points. Extensive experiments have been performed on several standard public image databases, and the experiment results demonstrate the performance of the proposed OSLDA algorithm. Journal: International Journal of Systems Science Pages: 848-858 Issue: 4 Volume: 49 Year: 2018 Month: 3 X-DOI: 10.1080/00207721.2018.1424964 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1424964 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:4:p:848-858 Template-Type: ReDIF-Article 1.0 Author-Name: Yun Kang Author-X-Name-First: Yun Author-X-Name-Last: Kang Author-Name: Shunxiang Wu Author-X-Name-First: Shunxiang Author-X-Name-Last: Wu Author-Name: Da Cao Author-X-Name-First: Da Author-X-Name-Last: Cao Author-Name: Wei Weng Author-X-Name-First: Wei Author-X-Name-Last: Weng Title: New hesitation-based distance and similarity measures on intuitionistic fuzzy sets and their applications Abstract: In this paper, we present new definitions on distance and similarity measures between intuitionistic fuzzy sets (IFSs) by combining with hesitation degree. First, we discuss the limitations in traditional distance and similarity measures, which are caused by the neglect of hesitation degree's influence. Even though a vector-valued similarity measure was proposed, which has two components indicating similarity and hesitation aspects, it still cannot perform well in practical applications because hesitation works only when the values of similarity measures are equal. In order to overcome the limitations, we propose new definitions on hesitation, distance and similarity measures, and research some theorems which satisfy the requirements of the proposed definitions. Meanwhile, we investigate the relationships among hesitation, distance, similarity and entropy of IFSs to verify the consistency of our work and previous research. Finally, we analyse and discuss the advantages and disadvantages of the proposed similarity measure in detail, and then we apply the proposed measures (dH and SH) to deal with pattern recognition problems, and demonstrate that they outperform state-of-the-art distance and similarity measures. Journal: International Journal of Systems Science Pages: 783-799 Issue: 4 Volume: 49 Year: 2018 Month: 3 X-DOI: 10.1080/00207721.2018.1424965 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1424965 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:4:p:783-799 Template-Type: ReDIF-Article 1.0 Author-Name: Carlos Henrique Farias dos Santos Author-X-Name-First: Carlos Henrique Farias dos Author-X-Name-Last: Santos Author-Name: Mariana Uzeda Cildoz Author-X-Name-First: Mariana Uzeda Author-X-Name-Last: Cildoz Author-Name: Marco Henrique Terra Author-X-Name-First: Marco Henrique Author-X-Name-Last: Terra Author-Name: Edson Roberto De Pieri Author-X-Name-First: Edson Roberto Author-X-Name-Last: De Pieri Title: Backstepping sliding mode control with functional tuning based on an instantaneous power approach applied to an underwater vehicle Abstract: In this paper, we present a modified backstepping sliding mode control to deal with Euler–Lagrange systems. The controller is applied in an underwater vehicle in order to show the effectiveness of the approach proposed. Instantaneous power data provided by the propulsion system are used to tune the controller in order to guarantee robust performance and energy saving. Thanks to the combination of an internal Proportional Integral and Derivative (PID) controller, it is possible implement high gains to deal with the influence of disturbances and uncertainties. A comparative study among this backstepping sliding mode controller and standard sliding mode controls is presented. Journal: International Journal of Systems Science Pages: 859-867 Issue: 4 Volume: 49 Year: 2018 Month: 3 X-DOI: 10.1080/00207721.2018.1424966 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1424966 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:4:p:859-867 Template-Type: ReDIF-Article 1.0 Author-Name: Qunxian Zheng Author-X-Name-First: Qunxian Author-X-Name-Last: Zheng Author-Name: Youzhu Ling Author-X-Name-First: Youzhu Author-X-Name-Last: Ling Author-Name: Lisheng Wei Author-X-Name-First: Lisheng Author-X-Name-Last: Wei Author-Name: Hongbin Zhang Author-X-Name-First: Hongbin Author-X-Name-Last: Zhang Title: Mixed H∞ and passive control for linear switched systems via hybrid control approach Abstract: This paper investigates the mixed H∞ and passive control problem for linear switched systems based on a hybrid control strategy. To solve this problem, first, a new performance index is proposed. This performance index can be viewed as the mixed weighted H∞ and passivity performance. Then, the hybrid controllers are used to stabilise the switched systems. The hybrid controllers consist of dynamic output-feedback controllers for every subsystem and state updating controllers at the switching instant. The design of state updating controllers not only depends on the pre-switching subsystem and the post-switching subsystem, but also depends on the measurable output signal. The hybrid controllers proposed in this paper can include some existing ones as special cases. Combine the multiple Lyapunov functions approach with the average dwell time technique, new sufficient conditions are obtained. Under the new conditions, the closed-loop linear switched systems are globally uniformly asymptotically stable with a mixed H∞ and passivity performance index. Moreover, the desired hybrid controllers can be constructed by solving a set of linear matrix inequalities. Finally, a numerical example and a practical example are given. Journal: International Journal of Systems Science Pages: 818-832 Issue: 4 Volume: 49 Year: 2018 Month: 3 X-DOI: 10.1080/00207721.2018.1424967 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1424967 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:4:p:818-832 Template-Type: ReDIF-Article 1.0 Author-Name: Sung Jin Yoo Author-X-Name-First: Sung Jin Author-X-Name-Last: Yoo Title: Error-transformation-based consensus algorithms of multi-agent systems: connectivity-preserving approach Abstract: This paper investigates distributed connectivity-preserving consensus problems of networked multi-agent systems with limited communication ranges. Compared with existing literature, a main contribution of this paper is to present a new nonlinear transformation approach of consensus errors for preserving the initial interaction patterns of multi-agent systems. Both the consensus and the connectivity preservation can be achieved by using one transformed error function. Based on the proposed nonlinear error transformation, we derive distributed connectivity-preserving consensus algorithms for single-integrator dynamics, double-integrator dynamics and second-order nonlinear systems. The asymptotic stability of consensus errors and the connectivity preservation among agents are established through Lyapunov stability analysis. Journal: International Journal of Systems Science Pages: 692-700 Issue: 4 Volume: 49 Year: 2018 Month: 3 X-DOI: 10.1080/00207721.2018.1424968 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1424968 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:4:p:692-700 Template-Type: ReDIF-Article 1.0 Author-Name: K. D. Do Author-X-Name-First: K. D. Author-X-Name-Last: Do Title: Stabilisation of large motions of Euler–Bernoulli beams by boundary controls Abstract: This paper proposes a design of boundary controls for stabilisation of Euler–Bernoulli beams with large motions and non-neglectable moment of inertia under external loads. Common types of boundary conditions in practice are considered. The designed boundary controllers guarantee globally practical K∞$\mathcal {K}_{\infty }$-exponential stability of closed-loop system. The control design, well-posedness and stability analysis are based on two Lyapunov-type theorems developed for a class of evolution systems in Hilbert space. Journal: International Journal of Systems Science Pages: 736-754 Issue: 4 Volume: 49 Year: 2018 Month: 3 X-DOI: 10.1080/00207721.2018.1425506 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1425506 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:4:p:736-754 Template-Type: ReDIF-Article 1.0 Author-Name: Xiushan Cai Author-X-Name-First: Xiushan Author-X-Name-Last: Cai Author-Name: Lingxin Meng Author-X-Name-First: Lingxin Author-X-Name-Last: Meng Author-Name: Wei Zhang Author-X-Name-First: Wei Author-X-Name-Last: Zhang Author-Name: Leipo Liu Author-X-Name-First: Leipo Author-X-Name-Last: Liu Title: Inverse optimal design of input-to-state stabilisation for affine nonlinear systems with input delays Abstract: We establish robustness of the predictor feedback control law to perturbations appearing at the system input for affine nonlinear systems with time-varying input delay and additive disturbances. Furthermore, it is shown that it is inverse optimal with respect to a differential game problem. All of the stability and inverse optimality proofs are based on the infinite-dimensional backstepping transformation and an appropriate Lyapunov functional. A single-link manipulator subject to input delays and disturbances is given to illustrate the validity of the proposed method. Journal: International Journal of Systems Science Pages: 833-847 Issue: 4 Volume: 49 Year: 2018 Month: 3 X-DOI: 10.1080/00207721.2018.1425507 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1425507 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:4:p:833-847 Template-Type: ReDIF-Article 1.0 Author-Name: The Editors Title: Erratum Journal: International Journal of Systems Science Pages: 897-898 Issue: 4 Volume: 49 Year: 2018 Month: 3 X-DOI: 10.1080/00207721.2018.1432196 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1432196 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:4:p:897-898 Template-Type: ReDIF-Article 1.0 Author-Name: Eduardo S. Tognetti Author-X-Name-First: Eduardo S. Author-X-Name-Last: Tognetti Author-Name: Ricardo C.L.F. Oliveira Author-X-Name-First: Ricardo C.L.F. Author-X-Name-Last: Oliveira Author-Name: Pedro L.D. Peres Author-X-Name-First: Pedro L.D. Author-X-Name-Last: Peres Title: and nonquadratic stabilisation of discrete-time Takagi–Sugeno systems based on multi-instant fuzzy Lyapunov functions Abstract: The problem of state feedback control design for discrete-time Takagi–Sugeno (TS) (T–S) fuzzy systems is investigated in this paper. A Lyapunov function, which is quadratic in the state and presents a multi-polynomial dependence on the fuzzy weighting functions at the current and past instants of time, is proposed.This function contains, as particular cases, other previous Lyapunov functions already used in the literature, being able to provide less conservative conditions of control design for TS fuzzy systems. The structure of the proposed Lyapunov function also motivates the design of a new stabilising compensator for Takagi–Sugeno fuzzy systems. The main novelty of the proposed state feedback control law is that the gain is composed of matrices with multi-polynomial dependence on the fuzzy weighting functions at a set of past instants of time, including the current one. The conditions for the existence of a stabilising state feedback control law that minimises an upper bound to the H∞$\mathcal {H}_{\infty }$ or H2$\mathcal {H}_2$ norms are given in terms of linear matrix inequalities. Numerical examples show that the approach can be less conservative and more efficient than other methods available in the literature. Journal: International Journal of Systems Science Pages: 76-87 Issue: 1 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.775383 File-URL: http://hdl.handle.net/10.1080/00207721.2013.775383 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:1:p:76-87 Template-Type: ReDIF-Article 1.0 Author-Name: B. Krishna Kumar Author-X-Name-First: B. Krishna Author-X-Name-Last: Kumar Author-Name: S. Anbarasu Author-X-Name-First: S. Author-X-Name-Last: Anbarasu Author-Name: S.R. Anantha Lakshmi Author-X-Name-First: S.R. Anantha Author-X-Name-Last: Lakshmi Title: Performance analysis for queueing systems with close down periods and server under maintenance Abstract: A single server queue subject to maintenance of the server and the close down period is considered. We obtain explicit expressions for the transient probabilities of the system size, the server under maintenance state and the close down period. The time-dependent performance measures of the system and the probability density function of the first-passage-time to reach the maintenance state are discussed. The corresponding steady state analysis and key performance measures of the system are also presented. Finally, the effect of various parameters on system performance measures is demonstrated by a numerical example. Journal: International Journal of Systems Science Pages: 88-110 Issue: 1 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.775384 File-URL: http://hdl.handle.net/10.1080/00207721.2013.775384 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:1:p:88-110 Template-Type: ReDIF-Article 1.0 Author-Name: P.R. Ouyang Author-X-Name-First: P.R. Author-X-Name-Last: Ouyang Author-Name: V. Pano Author-X-Name-First: V. Author-X-Name-Last: Pano Author-Name: T. Dam Author-X-Name-First: T. Author-X-Name-Last: Dam Title: PID position domain control for contour tracking Abstract: Contour error reduction for modern machining processes is an important concern in multi-axis contour tracking applications in order to ensure the quality of final products. Many control methods were developed in time domain to deal with contour tracking problems, and a proportional–derivative (PD) position domain control (PDC) was also proposed by the authors. It is well known that proportional–integral–differential (PID) control is the most popular control in applications of control theory. In this paper, a PID PDC is proposed for reducing contour tracking errors and improving contour tracking performances. To determine proper control gains, system stability analysis is conducted for the proposed PDC. Several experiments are conducted to evaluate the performance of the developed approach and are compared with the PID time domain control (TDC) and the cross-coupled control. Different control gains are used in the simulations to explore the robustness of PID PDC. Comparison results demonstrate the effectiveness and good contour performances of PID PDC for contour tracking applications. Journal: International Journal of Systems Science Pages: 111-124 Issue: 1 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.775385 File-URL: http://hdl.handle.net/10.1080/00207721.2013.775385 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:1:p:111-124 Template-Type: ReDIF-Article 1.0 Author-Name: Sunan Chumalee Author-X-Name-First: Sunan Author-X-Name-Last: Chumalee Author-Name: James F. Whidborne Author-X-Name-First: James F. Author-X-Name-Last: Whidborne Title: Gain-scheduled control via parameter-dependent Lyapunov functions Abstract: Synthesising a gain-scheduled output feedback H∞ controller via parameter-dependent Lyapunov functions for linear parameter-varying (LPV) plant models involves solving an infinite number of linear matrix inequalities (LMIs). In practice, for affine LPV models, a finite number of LMIs can be achieved using convexifying techniques. This paper proposes an alternative approach to achieve a finite number of LMIs. By simple manipulations on the bounded real lemma inequality, a symmetric matrix polytope inequality can be formed. Hence, the LMIs need only to be evaluated at all vertices of such a symmetric matrix polytope. In addition, a construction technique of the intermediate controller variables is also proposed as an affine matrix-valued function in the polytopic coordinates of the scheduled parameters. Computational results on a numerical example using the approach were compared with those from a multi-convexity approach in order to demonstrate the impacts of the approach on parameter-dependent Lyapunov-based stability and performance analysis. Furthermore, numerical simulation results show the effectiveness of these proposed techniques. Journal: International Journal of Systems Science Pages: 125-138 Issue: 1 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.775386 File-URL: http://hdl.handle.net/10.1080/00207721.2013.775386 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:1:p:125-138 Template-Type: ReDIF-Article 1.0 Author-Name: Pablo Millán Author-X-Name-First: Pablo Author-X-Name-Last: Millán Author-Name: Luis Orihuela Author-X-Name-First: Luis Author-X-Name-Last: Orihuela Author-Name: Isabel Jurado Author-X-Name-First: Isabel Author-X-Name-Last: Jurado Author-Name: Carlos Vivas Author-X-Name-First: Carlos Author-X-Name-Last: Vivas Author-Name: Francisco R. Rubio Author-X-Name-First: Francisco R. Author-X-Name-Last: Rubio Title: Distributed estimation in networked systems under periodic and event-based communication policies Abstract: This paper's aim is to present a novel design technique for distributed estimation in networked systems. The problem assumes a network of interconnected agents each one having partial access to measurements from a linear plant and broadcasting their estimations to their neighbours. The objective is to reach a reliable estimation of the plant state from every agent location. The observer's structure implemented in each agent is based on local Luenberger-like observers in combination with consensus strategies. The paper focuses on the following network related issues: delays, packet dropouts and communication policy (time and event-driven). The design problem is solved via linear matrix inequalities and stability proofs are provided. The technique is of application for sensor networks and large scale systems where centralized estimation schemes are not advisable and energy-aware implementations are of interest. Simulation examples are provided to show the performance of the proposed methodologies. Journal: International Journal of Systems Science Pages: 139-151 Issue: 1 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.775387 File-URL: http://hdl.handle.net/10.1080/00207721.2013.775387 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:1:p:139-151 Template-Type: ReDIF-Article 1.0 Author-Name: Liguo Weng Author-X-Name-First: Liguo Author-X-Name-Last: Weng Author-Name: Min Xia Author-X-Name-First: Min Author-X-Name-Last: Xia Author-Name: Wei Wang Author-X-Name-First: Wei Author-X-Name-Last: Wang Author-Name: Qingshan Liu Author-X-Name-First: Qingshan Author-X-Name-Last: Liu Title: Crew exploration vehicle (CEV) attitude control using a neural–immunology/memory network Abstract: This paper addresses the problem of the crew exploration vehicle (CEV) attitude control. CEVs are NASA's next-generation human spaceflight vehicles, and they use reaction control system (RCS) jet engines for attitude adjustment, which calls for control algorithms for firing the small propulsion engines mounted on vehicles. In this work, the resultant CEV dynamics combines both actuation and attitude dynamics. Therefore, it is highly nonlinear and even coupled with significant uncertainties. To cope with this situation, a neural–immunology/memory network is proposed. It is inspired by the human memory and immune systems. The control network does not rely on precise system dynamics information. Furthermore, the overall control scheme has a simple structure and demands much less computation as compared with most existing methods, making it attractive for real-time implementation. The effectiveness of this approach is also verified via simulation. Journal: International Journal of Systems Science Pages: 152-158 Issue: 1 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.775389 File-URL: http://hdl.handle.net/10.1080/00207721.2013.775389 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:1:p:152-158 Template-Type: ReDIF-Article 1.0 Author-Name: Shiping Wen Author-X-Name-First: Shiping Author-X-Name-Last: Wen Author-Name: Zhigang Zeng Author-X-Name-First: Zhigang Author-X-Name-Last: Zeng Author-Name: Tingwen Huang Author-X-Name-First: Tingwen Author-X-Name-Last: Huang Title: Observer-based fuzzy control for discrete-time Takagi–Sugeno fuzzy mixed delay systems with random packet losses and multiplicative noises Abstract: This paper investigates the observer-based H∞ fuzzy control problem for a class of discrete-time fuzzy mixed delay systems with random communication packet losses and multiplicative noises, where the mixed delays comprise both discrete time-varying and distributed delays. The random packet losses are described by a Bernoulli distributed white sequence that obeys a conditional probability distribution, and the multiplicative disturbances are in the form of a scalar Gaussian white noise with unit variance. In the presence of mixed delays, random packet losses and multiplicative noises, sufficient conditions for the existence of an observer-based fuzzy feedback controller are derived, such that the closed-loop control system is asymptotically mean-square stable and preserves a guaranteed H∞ performance. Then a linear matrix inequality approach for designing such an observer-based H∞ fuzzy controller is presented. Finally, a numerical example is provided to illustrate the effectiveness of the developed theoretical results. Journal: International Journal of Systems Science Pages: 159-169 Issue: 1 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.775390 File-URL: http://hdl.handle.net/10.1080/00207721.2013.775390 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:1:p:159-169 Template-Type: ReDIF-Article 1.0 Author-Name: Kyung-In Kang Author-X-Name-First: Kyung-In Author-X-Name-Last: Kang Author-Name: Kyun-Sang Park Author-X-Name-First: Kyun-Sang Author-X-Name-Last: Park Author-Name: Jong-Tae Lim Author-X-Name-First: Jong-Tae Author-X-Name-Last: Lim Title: Exponential stability of singularly perturbed systems with time delay and uncertainties Abstract: Recently, there are several studies on singularly perturbed systems with time delay and uncertainties. However, the existing results show only the limited results on either time delay or uncertainties. For time delay, small time delay or time delay only on the slow state are considered while, for uncertainties, the uncertain linear singularly perturbed system or the uncertain nonlinear singularly perturbed system with the conservative condition on uncertainties are considered. In this paper, the exponential stability of singularly perturbed systems with both time delay and uncertainties is investigated in the general form. Journal: International Journal of Systems Science Pages: 170-178 Issue: 1 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.775391 File-URL: http://hdl.handle.net/10.1080/00207721.2013.775391 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:1:p:170-178 Template-Type: ReDIF-Article 1.0 Author-Name: Tong Peng Author-X-Name-First: Tong Author-X-Name-Last: Peng Author-Name: Xiaozhan Yang Author-X-Name-First: Xiaozhan Author-X-Name-Last: Yang Author-Name: Ligang Wu Author-X-Name-First: Ligang Author-X-Name-Last: Wu Author-Name: Baojun Pang Author-X-Name-First: Baojun Author-X-Name-Last: Pang Title: Reduced-order ℓ-ℓ filtering for discrete-time T-S fuzzy systems with stochastic perturbation Abstract: This paper is concerned with the problem of ℓ2-ℓ∞ filtering for discrete-time Takagi-Sugeno (T-S) fuzzy systems with stochastic perturbation. Firstly, a basis-dependent existence condition of desirable ℓ2-ℓ∞ filters is proposed. Then by means of the convex linearisation technique, the derived condition is transformed into some strict linear matrix inequality (LMI) constraints, by which both full- and reduced-order filters can be designed. Moreover, for the reduced-order ℓ2-ℓ∞ filter design, a novel analysis and design method with the projection lemma is also provided. Finally, a numerical example is provided to illustrate the feasibility and effectiveness of the proposed full- and reduced-order ℓ2-ℓ∞ filter design methods. Journal: International Journal of Systems Science Pages: 179-192 Issue: 1 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.775393 File-URL: http://hdl.handle.net/10.1080/00207721.2013.775393 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:1:p:179-192 Template-Type: ReDIF-Article 1.0 Author-Name: Deyuan Meng Author-X-Name-First: Deyuan Author-X-Name-Last: Meng Author-Name: Yingmin Jia Author-X-Name-First: Yingmin Author-X-Name-Last: Jia Author-Name: Junping Du Author-X-Name-First: Junping Author-X-Name-Last: Du Title: Robust ILC with iteration-varying initial state shifts: a 2D approach Abstract: This paper deals with the problem of varying initial state shifts in continuous-time iterative learning control (ILC) by employing the two-dimensional (2D) analysis approach. Two PD-type ILC algorithms are considered based on an average operator, where the second one is combined with an initial rectifying action. For both ILC algorithms, 2D Roesser systems are applied to develop sufficient conditions to guarantee their convergence. It is shown that the ILC processes converge with the increasing of iteration, and the converged tracking error can be formulated in terms of the mean of the initial output error and the learning parameters. Numerical simulations are given to illustrate that both ILC algorithms are robust against varying initial state errors, and the second one can achieve uniform convergence over any specified time interval with good learning transients. Journal: International Journal of Systems Science Pages: 1-17 Issue: 1 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2014.924603 File-URL: http://hdl.handle.net/10.1080/00207721.2014.924603 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:1:p:1-17 Template-Type: ReDIF-Article 1.0 Author-Name: R. Ammour Author-X-Name-First: R. Author-X-Name-Last: Ammour Author-Name: S. Amari Author-X-Name-First: S. Author-X-Name-Last: Amari Title: Modelling and temporal performances evaluation of networked control systems using (max, +) algebra Abstract: In this paper, we address the problem of temporal performances evaluation of producer/consumer networked control systems. The aim is to develop a formal method for evaluating the response time of this type of control systems. Our approach consists on modelling, using Petri nets classes, the behaviour of the whole architecture including the switches that support multicast communications used by this protocol. (max, +) algebra formalism is then exploited to obtain analytical formulas of the response time and the maximal and minimal bounds. The main novelty is that our approach takes into account all delays experienced at the different stages of networked automation systems. Finally, we show how to apply the obtained results through an example of networked control system. Journal: International Journal of Systems Science Pages: 18-30 Issue: 1 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2014.938787 File-URL: http://hdl.handle.net/10.1080/00207721.2014.938787 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:1:p:18-30 Template-Type: ReDIF-Article 1.0 Author-Name: Bo Chen Author-X-Name-First: Bo Author-X-Name-Last: Chen Author-Name: Bin Zhang Author-X-Name-First: Bin Author-X-Name-Last: Zhang Author-Name: Hua-qing Wu Author-X-Name-First: Hua-qing Author-X-Name-Last: Wu Title: Misreporting behaviour in iterated prisoner's dilemma game with combined trust strategy Abstract: Effects of agents’ misreporting behaviour on system cooperation are studied in a multi-agent iterated prisoner's dilemma game. Agents, adopting combined trust strategy (denoted by CTS) are classified into three groups, i.e., honest CTS, positive-reporting CTS and negative-reporting CTS. The differences of cooperation frequency and pay-off under three different systems, i.e., system only with honest CTS, system with honest CTS and positive-reporting CTS and system with honest CTS and negative-reporting CTS, are compared. Furthermore, we also investigate the effects of misreporting behaviour on an exploiter who adopts an exploiting strategy (denoted by EXPL) in a system with two CTSs and one EXPL. At last, numerical simulations are performed for understanding the effects of misreporting behaviour on CTS. The results reveal that positive-reporting behaviour can strengthen system cooperation, while negative-reporting behaviour cannot. When EXPL exists in a system, positive-reporting behaviour helps the exploiter in reducing its exploiting cost and encourages agents to adopt exploiting strategy, but hurts other agents’ interests. Journal: International Journal of Systems Science Pages: 31-43 Issue: 1 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2014.943821 File-URL: http://hdl.handle.net/10.1080/00207721.2014.943821 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:1:p:31-43 Template-Type: ReDIF-Article 1.0 Author-Name: Jeffrey C. Simmons Author-X-Name-First: Jeffrey C. Author-X-Name-Last: Simmons Author-Name: Kourosh Danai Author-X-Name-First: Kourosh Author-X-Name-Last: Danai Title: Multi-output parameter estimation of dynamic systems by output shapes Abstract: A multi-output method of parameter estimation is introduced for dynamic systems that relies on the shape attributes of model outputs. The shapes of outputs in this method are represented by the surfaces that are generated by continuous wavelet transforms (CWTs) of the outputs in the time-scale domain. Since the CWTs also enhance the delineation of outputs and their sensitivities to model parameters in the time-scale domain, regions in the time-scale plane can be identified wherein the sensitivity of the output with respect to one model parameter dominates all the others. This allows approximation of the prediction error in terms of individual model parameters in isolated regions of the time-scale domain, thus enabling parameter estimation based on a small set of wavelet coefficients. These isolated regions of the time-scale plane also reveal numerous transparencies to be exploited for parameter estimation. It is shown that by taking advantage of these transparencies, the robustness of parameter estimation can be improved. The results also indicate the potential for improved precision and faster convergence of the parameter estimates when shape attributes are used in place of the magnitude. Journal: International Journal of Systems Science Pages: 44-62 Issue: 1 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2014.943822 File-URL: http://hdl.handle.net/10.1080/00207721.2014.943822 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:1:p:44-62 Template-Type: ReDIF-Article 1.0 Author-Name: Jianhua Wang Author-X-Name-First: Jianhua Author-X-Name-Last: Wang Author-Name: Qingling Zhang Author-X-Name-First: Qingling Author-X-Name-Last: Zhang Author-Name: Xiaoxu Liu Author-X-Name-First: Xiaoxu Author-X-Name-Last: Liu Title: control for discrete-time singular Markovian jump systems based on the novel bounded real lemma Abstract: This paper considers the H∞ control problem for the discrete-time singular Markovian jump systems with partially unknown transition probabilities. First, a new formulation of the bounded real lemma (BRL) for discrete-time singular Markovian jump systems is given by referencing slack variables technique, which ensures the considered systems to be regular, causal and stochastically stable with given H∞ performance index γ. Then, based on this new BRL, the desired controller gains are also presented by solving a set of strict linear matrix inequalities. A numerical example is provided to show the effectiveness and less conservativeness of the proposed methods. Journal: International Journal of Systems Science Pages: 63-75 Issue: 1 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2014.948947 File-URL: http://hdl.handle.net/10.1080/00207721.2014.948947 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:1:p:63-75 Template-Type: ReDIF-Article 1.0 Author-Name: Shahin Salehi Author-X-Name-First: Shahin Author-X-Name-Last: Salehi Author-Name: Mohammad Shahrokhi Author-X-Name-First: Mohammad Author-X-Name-Last: Shahrokhi Title: Adaptive output feedback tracking controller for a class of uncertain strict feedback nonlinear systems in the absence of state measurements Abstract: In this article, design of an adaptive control scheme for a class of uncertain single-input single-output systems in strict feedback form via a backstepping technique has been proposed. It is assumed that system output and its derivatives are available. By virtue of the observability concept, it is shown that for this class of systems there exists a one-to-one map, which maps output and its derivatives to system states. By means of this mapping and using linearly parametrised approximators, such as fuzzy logic systems or neural networks, the uncertain nonlinear dynamics and unavailable states are estimated. The proposed adaptive controller guarantees that the closed-loop system is uniformly ultimately bounded and the influence of minimum approximation error on the L2-norm of the output tracking error is attenuated arbitrarily. The effectiveness of the proposed scheme has been demonstrated through simulation results. Journal: International Journal of Systems Science Pages: 201-210 Issue: 2 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.488755 File-URL: http://hdl.handle.net/10.1080/00207721.2010.488755 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:2:p:201-210 Template-Type: ReDIF-Article 1.0 Author-Name: Toshio Yoshimura Author-X-Name-First: Toshio Author-X-Name-Last: Yoshimura Title: Adaptive sliding mode control for a class of uncertain discrete-time systems using multi-rate output measurement Abstract: This article is concerned with the design of an adaptive sliding mode control (SMC) for a class of uncertain discrete-time systems using the multi-rate output measurement. The states of the discrete-time systems are assumed to be taken in the multi-rate output measurement by the contamination with measurement noise. The uncertainties are assumed not to satisfy the matching condition, and are expressed in a parameterised form. A least squares estimator (LSE) to take the estimates for the un-measurable states and the uncertainties is designed in a batch form by using the noisy multi-rate output measurement. The proposed adaptive SMC is designed by using the sliding surface expressed as the linear state function and the estimates obtained from the LSE. It is proved that the estimation errors converge to zero as time tends to infinite, and the states of the system are bounded under the action of the proposed adaptive SMC. The effectiveness of the proposed method is indicated through the simulation experiment in a simple system. Journal: International Journal of Systems Science Pages: 211-219 Issue: 2 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.488756 File-URL: http://hdl.handle.net/10.1080/00207721.2010.488756 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:2:p:211-219 Template-Type: ReDIF-Article 1.0 Author-Name: Hongbo Zhang Author-X-Name-First: Hongbo Author-X-Name-Last: Zhang Author-Name: Xinhan Huang Author-X-Name-First: Xinhan Author-X-Name-Last: Huang Author-Name: Min Wang Author-X-Name-First: Min Author-X-Name-Last: Wang Author-Name: Xinde Li Author-X-Name-First: Xinde Author-X-Name-Last: Li Author-Name: Gang Peng Author-X-Name-First: Gang Author-X-Name-Last: Peng Title: Precise control of linear systems subject to actuator saturation using tracking differentiator and reduced order composite nonlinear feedback control Abstract: Aiming at the actuator saturation problem and the system performance requirement, this article proposes a new control scheme, i.e. a newly developed tracking differentiator-composite nonlinear feedback (TDCNF) control law, which is the combination of a tracking differentiator (TD) and a reduced order composite nonlinear feedback (CNF) control law. The TD, used here, mainly helps to provide a smooth reference signal and largely avoid actuator saturation. The reduced order CNF control law, on the one hand, estimates those unmeasurable state variables for measurement feedback control and, on the other hand, ensures satisfactory system performance. The stability of the newly developed TDCNF is proved in detail. Finally, to verify the effectiveness of the newly developed TDCNF control law, two illustrative examples are demonstrated and therein a novel design of the proposed control law is given. Simulation results show that the proposed control law can achieve good tracking performance and effectively avoid the actuator saturation. Journal: International Journal of Systems Science Pages: 220-230 Issue: 2 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.488757 File-URL: http://hdl.handle.net/10.1080/00207721.2010.488757 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:2:p:220-230 Template-Type: ReDIF-Article 1.0 Author-Name: Ching-Hung Lee Author-X-Name-First: Ching-Hung Author-X-Name-Last: Lee Author-Name: Fu-Kai Chang Author-X-Name-First: Fu-Kai Author-X-Name-Last: Chang Author-Name: Che-Ting Kuo Author-X-Name-First: Che-Ting Author-X-Name-Last: Kuo Author-Name: Hao-Hang Chang Author-X-Name-First: Hao-Hang Author-X-Name-Last: Chang Title: A hybrid of electromagnetism-like mechanism and back-propagation algorithms for recurrent neural fuzzy systems design Abstract: This article introduces a novel hybrid evolutionary algorithm for recurrent fuzzy neural systems design in applications of nonlinear systems. The hybrid learning algorithm, IEMBP-improved electromagnetism-like (EM) with back-propagation (BP) technique, combines the advantages of EM and BP algorithms which provides high-speed convergence, higher accuracy and less computational complexity (computation time in seconds). In addition, the IEMBP needs only a small population to outperform the standard EM that uses a larger population. For a recurrent neural fuzzy system, IEMBP simulates the ‘attraction’ and ‘repulsion’ of charged particles by considering each neural system parameters as a charged particle. The EM algorithm is modified in such a way that the competition selection is adopted and the random neighbourhood local search is replaced by BP without evaluations. Thus, the IEMBP algorithm combines the advantages of multi-point search, global optimisation and faster convergence. Finally, several illustration examples for nonlinear systems are shown to demonstrate the performance and effectiveness of IEMBP. Journal: International Journal of Systems Science Pages: 231-247 Issue: 2 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.488758 File-URL: http://hdl.handle.net/10.1080/00207721.2010.488758 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:2:p:231-247 Template-Type: ReDIF-Article 1.0 Author-Name: Xiangjie Liu Author-X-Name-First: Xiangjie Author-X-Name-Last: Liu Author-Name: Sumei Feng Author-X-Name-First: Sumei Author-X-Name-Last: Feng Author-Name: Miaomiao Ma Author-X-Name-First: Miaomiao Author-X-Name-Last: Ma Title: Robust MPC for the constrained system with polytopic uncertainty Abstract: An improved method for synthesising the constrained robust model predictive controller is proposed in this study. It constructs a continuum of terminal constraint sets off-line, and achieves robust stability with a variable control horizon on-line from the very beginning and a time-varying terminal constraint set, by solving the min–max optimisation problem, which can be formulated as a linear matrix inequality problem. This algorithm not only dramatically reduces the on-line computation burden, but also guarantees the control performance by reserving at least one free control move in the whole process. Simulation results for the three-tank system with uncertain dynamic behaviour on flux coefficients are given. Journal: International Journal of Systems Science Pages: 248-258 Issue: 2 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.488760 File-URL: http://hdl.handle.net/10.1080/00207721.2010.488760 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:2:p:248-258 Template-Type: ReDIF-Article 1.0 Author-Name: Chenyu Guo Author-X-Name-First: Chenyu Author-X-Name-Last: Guo Author-Name: Weidong Zhang Author-X-Name-First: Weidong Author-X-Name-Last: Zhang Author-Name: Jie Bao Author-X-Name-First: Jie Author-X-Name-Last: Bao Title: Robust output feedback control for networked control systems based on the occurrence probabilities of time delays Abstract: This article is concerned with the problem of robust H∞ output feedback control for a kind of networked control systems with time-varying network-induced delays. Instead of using boundaries of time delays to represent all time delays, the occurrence probability of each time delay is considered in H∞ stability analysis and stabilisation. The problem addressed is the design of an output feedback controller such that, for all admissible uncertainties, the resulting closed-loop system is stochastically stable for the zero disturbance input and also simultaneously achieves a prescribed H∞ performance level. It is shown that less conservativeness is obtained. A set of linear matrix inequalities is given to solve the corresponding controller design problem. An example is provided to show the effectiveness and applicability of the proposed method. Journal: International Journal of Systems Science Pages: 259-271 Issue: 2 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.488761 File-URL: http://hdl.handle.net/10.1080/00207721.2010.488761 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:2:p:259-271 Template-Type: ReDIF-Article 1.0 Author-Name: Yuanqing Xia Author-X-Name-First: Yuanqing Author-X-Name-Last: Xia Author-Name: Li Li Author-X-Name-First: Li Author-X-Name-Last: Li Author-Name: Magdi Mahmoud Author-X-Name-First: Magdi Author-X-Name-Last: Mahmoud Author-Name: Hongjiu Yang Author-X-Name-First: Hongjiu Author-X-Name-Last: Yang Title: filtering for nonlinear singular Markovian jumping systems with interval time-varying delays Abstract: The problem of H∞ filtering for nonlinear singular Markovian jumping systems with interval time-varying delays is investigated. The delay factor is assumed to be time-varying and belongs to a given interval, which means that the lower and upper bounds of the interval time-varying delays are available. Furthermore, the derivative of the time-varying delay function can be larger than one. With partial knowledge of the jump rates of the Markov process, a new delay-range-dependent bounded real lemma for the solvability of the jump system is obtained based on the Lyapunov–Krasovskii functional, which is in terms of strict linear matrix inequalities (LMIs). When these LMIs are feasible, an expression of a desired H∞ filter is given. Numerical examples are given to illustrate the effectiveness of the developed techniques. Journal: International Journal of Systems Science Pages: 272-284 Issue: 2 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.488762 File-URL: http://hdl.handle.net/10.1080/00207721.2010.488762 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:2:p:272-284 Template-Type: ReDIF-Article 1.0 Author-Name: Ling Yang Author-X-Name-First: Ling Author-X-Name-Last: Yang Author-Name: Yuh-Rau Wang Author-X-Name-First: Yuh-Rau Author-X-Name-Last: Wang Author-Name: Suzanne Pai Author-X-Name-First: Suzanne Author-X-Name-Last: Pai Title: Statistical and economic analyses of an EWMA-based synthesised control scheme for monitoring processes with outliers Abstract: This work presents an exponentially weighted moving average (EWMA)-based synthesised control scheme for a process with outliers. Based on experience, some processes occasionally have outliers. The use of traditional mean (X) and range (R) control charts (denoted as X/R) for monitoring process mean and variance leads to high-level false alarms. In this study, the fast-detection technique (EWMA control chart) and robust control chart (median ( ) control chart) are adopted. Via simulations, with various shifts in process sample mean and variance, the average time to work stoppage (ATWS) and average quality cost (AQC) for the synthesised control schemes are evaluated under some contaminated normal distributions and cost parameter settings. We conclude that, from a statistical perspective, the EWMA-based synthesised control scheme detects process shifts faster than the Shewhart-based (SB) synthesised control scheme with or without contaminated data. From an economic perspective, when the percentage of contaminated data is small or none, the EWMA-based synthesised control scheme again outperforms the SB synthesised control scheme. When the percentage of contaminated data is large, the SB synthesised control scheme performs better than the EWMA-based synthesised control scheme. This analytical result is a valuable reference for practitioners facing a process with outliers. Journal: International Journal of Systems Science Pages: 285-295 Issue: 2 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.495186 File-URL: http://hdl.handle.net/10.1080/00207721.2010.495186 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:2:p:285-295 Template-Type: ReDIF-Article 1.0 Author-Name: I. Chairez Author-X-Name-First: I. Author-X-Name-Last: Chairez Author-Name: R. Fuentes Author-X-Name-First: R. Author-X-Name-Last: Fuentes Author-Name: A. Poznyak Author-X-Name-First: A. Author-X-Name-Last: Poznyak Author-Name: T. Poznyak Author-X-Name-First: T. Author-X-Name-Last: Poznyak Author-Name: M. Escudero Author-X-Name-First: M. Author-X-Name-Last: Escudero Author-Name: L. Viana Author-X-Name-First: L. Author-X-Name-Last: Viana Title: DNN-state identification of 2D distributed parameter systems Abstract: There are many examples in science and engineering which are reduced to a set of partial differential equations (PDEs) through a process of mathematical modelling. Nevertheless there exist many sources of uncertainties around the aforementioned mathematical representation. Moreover, to find exact solutions of those PDEs is not a trivial task especially if the PDE is described in two or more dimensions. It is well known that neural networks can approximate a large set of continuous functions defined on a compact set to an arbitrary accuracy. In this article, a strategy based on the differential neural network (DNN) for the non-parametric identification of a mathematical model described by a class of two-dimensional (2D) PDEs is proposed. The adaptive laws for weights ensure the ‘practical stability’ of the DNN-trajectories to the parabolic 2D-PDE states. To verify the qualitative behaviour of the suggested methodology, here a non-parametric modelling problem for a distributed parameter plant is analysed. Journal: International Journal of Systems Science Pages: 296-307 Issue: 2 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.495187 File-URL: http://hdl.handle.net/10.1080/00207721.2010.495187 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:2:p:296-307 Template-Type: ReDIF-Article 1.0 Author-Name: Yangzi Hu Author-X-Name-First: Yangzi Author-X-Name-Last: Hu Author-Name: Fuke Wu Author-X-Name-First: Fuke Author-X-Name-Last: Wu Author-Name: Chengming Huang Author-X-Name-First: Chengming Author-X-Name-Last: Huang Title: Stochastic stability of a class of unbounded delay neutral stochastic differential equations with general decay rate Abstract: Without the linear growth condition on the drift coefficient, this article examines the existence and uniqueness of global solutions of a class of neutral stochastic differential equations with unbounded delay and their asymptotic stabilities with general decay rate. To illustrate the application of our results, this article gives a two-dimensional system as an example. Journal: International Journal of Systems Science Pages: 308-318 Issue: 2 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.495188 File-URL: http://hdl.handle.net/10.1080/00207721.2010.495188 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:2:p:308-318 Template-Type: ReDIF-Article 1.0 Author-Name: Marcello Farina Author-X-Name-First: Marcello Author-X-Name-Last: Farina Author-Name: Luigi Piroddi Author-X-Name-First: Luigi Author-X-Name-Last: Piroddi Title: Identification of polynomial input/output recursive models with simulation error minimisation methods Abstract: Polynomial input/output (I/O) recursive models are widely used in nonlinear model identification for their flexibility and representation capabilities. Several identification algorithms are available in the literature, which deal with both model selection and parameter estimation. Previous works have shown the limitations of the classical prediction error minimisation approach in this context, especially (but not only) when the disturbance contribution is unknown, and suggested the use of a simulation error minimisation (SEM) approach for a better selection of the I/O model. This article goes a step further by integrating the model selection procedure with a simulation-oriented parameter estimation algorithm. Notwithstanding the algorithmic and computational complexity of the proposed method, it is shown that it can sometimes achieve great performance improvements with respect to previously proposed approaches. Two different parameter estimation algorithms are suggested, namely a direct SEM optimisation algorithm, and an approximate method based on multi-step prediction iteration, which displays several convenient properties from the computational point of view. Several simulation examples are shown to demonstrate the effectiveness of the suggested SEM approaches. Journal: International Journal of Systems Science Pages: 319-333 Issue: 2 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.496055 File-URL: http://hdl.handle.net/10.1080/00207721.2010.496055 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:2:p:319-333 Template-Type: ReDIF-Article 1.0 Author-Name: Junyan Yu Author-X-Name-First: Junyan Author-X-Name-Last: Yu Author-Name: Long Wang Author-X-Name-First: Long Author-X-Name-Last: Wang Title: Group consensus of multi-agent systems with directed information exchange Abstract: We discuss a new consensus problem – a group consensus problem – in networks of dynamic agents. For a complex network consisting of several sub-networks owing to physical quantities or task distributions, it is concerned with this case that the agents in a sub-network share a consistent value while there is no agreement between any two sub-networks. When the information exchange is directed, a novel consensus protocol is designed to solve the group consensus problem. The convergence analysis is discussed and several criteria are established based on graph theories and matrix theories. Simulation results are presented to demonstrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 334-348 Issue: 2 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.496056 File-URL: http://hdl.handle.net/10.1080/00207721.2010.496056 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:2:p:334-348 Template-Type: ReDIF-Article 1.0 Author-Name: Deng-Maw Tsai Author-X-Name-First: Deng-Maw Author-X-Name-Last: Tsai Title: Optimal ordering and production policy for a recoverable item inventory system with learning effect Abstract: This article presents two models for determining an optimal integrated economic order quantity and economic production quantity policy in a recoverable manufacturing environment. The models assume that the unit production time of the recovery process decreases with the increase in total units produced as a result of learning. A fixed proportion of used products are collected from customers and then recovered for reuse. The recovered products are assumed to be in good condition and acceptable to customers. Constant demand can be satisfied by utilising both newly purchased products and recovered products. The aim of this article is to show how to minimise total inventory-related cost. The total cost functions of the two models are derived and two simple search procedures are proposed to determine optimal policy parameters. Numerical examples are provided to illustrate the proposed models. In addition, sensitivity analyses have also been performed and are discussed. Journal: International Journal of Systems Science Pages: 349-367 Issue: 2 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.502261 File-URL: http://hdl.handle.net/10.1080/00207721.2010.502261 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:2:p:349-367 Template-Type: ReDIF-Article 1.0 Author-Name: Gang Chen Author-X-Name-First: Gang Author-X-Name-Last: Chen Author-Name: Frank Lewis Author-X-Name-First: Frank Author-X-Name-Last: Lewis Title: Coordination of networked systems on digraphs with multiple leaders via pinning control Abstract: It is well known that achieving consensus among a group of multi-vehicle systems by local distributed control is feasible if and only if all nodes in the communication digraph are reachable from a single (root) node. In this article, we take into account a more general case that the communication digraph of the networked multi-vehicle systems is weakly connected and has two or more zero-in-degree and strongly connected subgraphs, i.e. there are two or more leader groups. Based on the pinning control strategy, the feasibility problem of achieving second-order controlled consensus is studied. At first, a necessary and sufficient condition is given when the topology is fixed. Then the method to design the controller and the rule to choose the pinned vehicles are discussed. The proposed approach allows us to extend several existing results for undirected graphs to directed balanced graphs. A sufficient condition is proposed in the case where the coupling topology is variable. As an illustrative example, a second-order controlled consensus scheme is applied to coordinate the movement of networked multiple mobile robots. Journal: International Journal of Systems Science Pages: 368-384 Issue: 2 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.502598 File-URL: http://hdl.handle.net/10.1080/00207721.2010.502598 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:2:p:368-384 Template-Type: ReDIF-Article 1.0 Author-Name: Jianxin Feng Author-X-Name-First: Jianxin Author-X-Name-Last: Feng Author-Name: Ming Zeng Author-X-Name-First: Ming Author-X-Name-Last: Zeng Title: Optimal distributed Kalman filtering fusion for a linear dynamic system with cross-correlated noises Abstract: In this article, we study the distributed Kalman filtering fusion problem for a linear dynamic system with multiple sensors and cross-correlated noises. For the assumed linear dynamic system, based on the newly constructed measurements whose measurement noises are uncorrelated, we derive a distributed Kalman filtering fusion algorithm without feedback, and prove that it is an optimal distributed Kalman filtering fusion algorithm. Then, for the same linear dynamic system, also based on the newly constructed measurements, a distributed Kalman filtering fusion algorithm with feedback is proposed. A rigorous performance analysis is dedicated to the distributed fusion algorithm with feedback, which shows that the distributed fusion algorithm with feedback is also an optimal distributed Kalman filtering fusion algorithm; the P matrices are still the estimate error covariance matrices for local filters; the feedback does reduce the estimate error covariance of each local filter. Simulation results are provided to demonstrate the validity of the newly proposed fusion algorithms and the performance analysis. Journal: International Journal of Systems Science Pages: 385-398 Issue: 2 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.502601 File-URL: http://hdl.handle.net/10.1080/00207721.2010.502601 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:2:p:385-398 Template-Type: ReDIF-Article 1.0 Author-Name: Shen Yin Author-X-Name-First: Shen Author-X-Name-Last: Yin Author-Name: Steven Ding Author-X-Name-First: Steven Author-X-Name-Last: Ding Author-Name: Adel Abandan Sari Author-X-Name-First: Adel Author-X-Name-Last: Abandan Sari Author-Name: Haiyang Hao Author-X-Name-First: Haiyang Author-X-Name-Last: Hao Title: Data-driven monitoring for stochastic systems and its application on batch process Abstract: Batch processes are characterised by a prescribed processing of raw materials into final products for a finite duration and play an important role in many industrial sectors due to the low-volume and high-value products. Process dynamics and stochastic disturbances are inherent characteristics of batch processes, which cause monitoring of batch processes a challenging problem in practice. To solve this problem, a subspace-aided data-driven approach is presented in this article for batch process monitoring. The advantages of the proposed approach lie in its simple form and its abilities to deal with stochastic disturbances and process dynamics existing in the process. The kernel density estimation, which serves as a non-parametric way of estimating the probability density function, is utilised for threshold calculation. An industrial benchmark of fed-batch penicillin production is finally utilised to verify the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 1366-1376 Issue: 7 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659708 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659708 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:7:p:1366-1376 Template-Type: ReDIF-Article 1.0 Author-Name: R. Caballero-Águila Author-X-Name-First: R. Author-X-Name-Last: Caballero-Águila Author-Name: A. Hermoso-Carazo Author-X-Name-First: A. Author-X-Name-Last: Hermoso-Carazo Author-Name: J. Linares-Pérez Author-X-Name-First: J. Author-X-Name-Last: Linares-Pérez Title: Linear estimation based on covariances for networked systems featuring sensor correlated random delays Abstract: This article is concerned with the least-squares (LS) linear estimation problem of discrete-time signals from noisy measurements coming from multiple randomly delayed sensors with different delay characteristics. It is assumed that the Bernoulli random variables characterising the measurement delays are correlated at consecutive sampling times. Using an innovation approach, recursive linear filtering and smoothing (fixed-point and fixed-interval) algorithms are obtained without requiring the state-space model generating the signal, but only the covariance functions of the signal and the noise, the delay probabilities and the correlation function of the Bernoulli variables. Also, recursive formulas for filtering and fixed-point smoothing error covariance matrices are obtained to measure the goodness of the proposed estimators. Journal: International Journal of Systems Science Pages: 1233-1244 Issue: 7 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659709 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659709 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:7:p:1233-1244 Template-Type: ReDIF-Article 1.0 Author-Name: Shmuel Boyarski Author-X-Name-First: Shmuel Author-X-Name-Last: Boyarski Title: Polytopic best-mean performance analysis Abstract: In Boyarski and Shaked [(2005), ‘Robust H∞ Control Design for Best Mean Performance Over an Uncertain-parameters Box’, Systems and Control Letters, 54, 585–595], a novel best-mean approach to robust analysis and control over uncertain-parameters boxes was presented. This article extends the results of Boyarski and Shaked (2005) to convex uncertainty polytopes of arbitrary shape and arbitrary number of vertices, without an underlying parameters model. The article addresses robust, polytopic, probabilistic H∞ analysis of linear systems and focuses on the performance distribution over the uncertainty region (rather than just on the performance bound, as is customary in robust control). It is assumed that all system instances over the uncertainty polytope may occur with equal probability; this uniform distribution assumption is common in robust statistical analysis and is known to be conservative. The proposed approach considers different disturbance attenuation levels (DALs) at the vertices of the uncertainty polytope. It is shown that, under the latter assumption, the mean DAL over the polytope is the algebraic average of the DALs at the polytope's vertices. Thus, the mean DAL over the polytope can be optimised by minimising the sum of the DALs at the vertices. The standard deviation of the DAL over the uncertainty polytope is also addressed, and a method to minimise this standard deviation (in order to enforce uniform performance over the polytope) is shown. The example utilises a state-feedback synthesis theorem presented in Boyarski and Shaked (2005). A Monte-Carlo analysis verifies correct statistics of the resulting closed-loop ‘pointwise’ H∞-norms over the uncertainty region, and highlights the differences from a corresponding bound minimisation: a marginally higher bound, but much better mean and variance. Journal: International Journal of Systems Science Pages: 1193-1199 Issue: 7 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659710 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659710 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:7:p:1193-1199 Template-Type: ReDIF-Article 1.0 Author-Name: Jianbo Lu Author-X-Name-First: Jianbo Author-X-Name-Last: Lu Author-Name: Dewei Li Author-X-Name-First: Dewei Author-X-Name-Last: Li Author-Name: Yugeng Xi Author-X-Name-First: Yugeng Author-X-Name-Last: Xi Title: Probability-based constrained MPC for structured uncertain systems with state and random input delays Abstract: This article is concerned with probability-based constrained model predictive control (MPC) for systems with both structured uncertainties and time delays, where a random input delay and multiple fixed state delays are included. The process of input delay is governed by a discrete-time finite-state Markov chain. By invoking an appropriate augmented state, the system is transformed into a standard structured uncertain time-delay Markov jump linear system (MJLS). For the resulting system, a multi-step feedback control law is utilised to minimise an upper bound on the expected value of performance objective. The proposed design has been proved to stabilise the closed-loop system in the mean square sense and to guarantee constraints on control inputs and system states. Finally, a numerical example is given to illustrate the proposed results. Journal: International Journal of Systems Science Pages: 1354-1365 Issue: 7 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659711 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659711 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:7:p:1354-1365 Template-Type: ReDIF-Article 1.0 Author-Name: Yan Che Author-X-Name-First: Yan Author-X-Name-Last: Che Author-Name: Huisheng Shu Author-X-Name-First: Huisheng Author-X-Name-Last: Shu Author-Name: Hua Yang Author-X-Name-First: Hua Author-X-Name-Last: Yang Author-Name: Derui Ding Author-X-Name-First: Derui Author-X-Name-Last: Ding Title: Probability-dependent filtering for nonlinear stochastic systems with missing measurements and randomly occurring communication delays Abstract: In this article, the H∞ filtering problem is investigated for a class of nonlinear stochastic systems with incomplete measurements. The considered incomplete measurements include both the missing measurements and the randomly occurring communication delays. By using a set of Kronecker delta functions, a unified measurement model is employed to describe the phenomena of random communication delays and missing measurements. The purpose of the problem addressed is to design an H∞ filter such that, for all nonlinearities, incomplete measurements and external disturbances, the filtering error dynamics is exponentially mean-square stable and the H∞-norm requirement is satisfied. A sufficient condition for the existence of the desired filter is established in terms of certain linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the proposed filter scheme. Journal: International Journal of Systems Science Pages: 1264-1273 Issue: 7 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659712 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659712 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:7:p:1264-1273 Template-Type: ReDIF-Article 1.0 Author-Name: Zhicheng Li Author-X-Name-First: Zhicheng Author-X-Name-Last: Li Author-Name: Guanghui Sun Author-X-Name-First: Guanghui Author-X-Name-Last: Sun Author-Name: Huijun Gao Author-X-Name-First: Huijun Author-X-Name-Last: Gao Title: Guaranteed cost control for discrete-time Markovian jump linear system with time delay Abstract: The scaled small gain theorem is used to investigate the problem of guaranteed cost control for discrete-time Markovian jump systems with mode-dependent and time-varying delay in this article. For obtaining the results in this article, first a stochastic scaled small gain condition for discrete-time Markovian jump systems is introduced. Then, the original system is transformed into an input–output form. The robust stability criterion of the original system is proposed through the Lyapunov–Krasovskii functional approach combined with the utilisation of the stochastic small gain condition. The merit of the proposed criterion lies in its reduced conservatism, which is made possible by a precise approximation of the mode-dependent and time-varying delay. Furthermore, the guaranteed cost controller existence criterion is proposed by the robust stability criterion, which guarantees the robust stochastic stability of the closed-loop system and the existence of the upper bound for the cost function. Finally, two illustrative examples are provided to demonstrate the advantage and the effectiveness of the obtained results. Journal: International Journal of Systems Science Pages: 1312-1324 Issue: 7 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659713 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659713 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:7:p:1312-1324 Template-Type: ReDIF-Article 1.0 Author-Name: Hamid Karimi Author-X-Name-First: Hamid Author-X-Name-Last: Karimi Title: Passivity-based output feedback control of Markovian jump systems with discrete and distributed time-varying delays Abstract: In this article, we present a new method in designing mode-dependent passivity-based output feedback controllers for Markovian jump systems with time-varying delays. Both discrete and distributed delays are considered in the model. A Lyapunov–Krasovskii function is constructed to establish new required sufficient conditions for ensuring exponentially mean-square stability and the passivity criteria, simultaneously. The method produces linear matrix inequality formulation that allows obtaining controller gains based on a convex optimisation method. Finally, a numerical example is given to illustrate the effectiveness of our approach. Journal: International Journal of Systems Science Pages: 1290-1300 Issue: 7 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659714 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659714 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:7:p:1290-1300 Template-Type: ReDIF-Article 1.0 Author-Name: Michael Basin Author-X-Name-First: Michael Author-X-Name-Last: Basin Author-Name: Alexander Loukianov Author-X-Name-First: Alexander Author-X-Name-Last: Loukianov Author-Name: Miguel Hernandez-Gonzalez Author-X-Name-First: Miguel Author-X-Name-Last: Hernandez-Gonzalez Title: Joint state and parameter estimation for uncertain stochastic nonlinear polynomial systems Abstract: This article presents the joint state filtering and parameter identification problem for uncertain stochastic nonlinear polynomial systems with unknown parameters in the state equation over nonlinear polynomial observations, where the unknown parameters are considered Wiener processes. The original problem is reduced to the filtering problem for an extended state vector that incorporates parameters as additional states. The obtained mean-square filter for the extended state vector also serves as the mean-square identifier for the unknown parameters. Performance of the designed mean-square state filter and parameter identifier is verified for both, positive and negative, parameter values. Journal: International Journal of Systems Science Pages: 1200-1208 Issue: 7 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670309 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670309 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:7:p:1200-1208 Template-Type: ReDIF-Article 1.0 Author-Name: Abebe Geletu Author-X-Name-First: Abebe Author-X-Name-Last: Geletu Author-Name: Michael Klöppel Author-X-Name-First: Michael Author-X-Name-Last: Klöppel Author-Name: Hui Zhang Author-X-Name-First: Hui Author-X-Name-Last: Zhang Author-Name: Pu Li Author-X-Name-First: Pu Author-X-Name-Last: Li Title: Advances and applications of chance-constrained approaches to systems optimisation under uncertainty Abstract: A chance-constrained optimisation (CCOPT) model has a dual goal: guaranteeing performance as well as system reliability under uncertainty. The beginning of CCOPT methods dates back in the 1950s. Recently, CCOPT approaches are gaining momentum as modern engineering and finance applications are forced to consider reliability and risk metrics at the design and planning stages. Although theoretical development and practical applications have been made, many open problems remain to be addressed in this area. This article attempts to provide a brief survey of major application areas, structure properties, challenges and solution approaches to CCOPT. In particular, we present our research results achieved in the past few years. Journal: International Journal of Systems Science Pages: 1209-1232 Issue: 7 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670310 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670310 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:7:p:1209-1232 Template-Type: ReDIF-Article 1.0 Author-Name: Hao Wu Author-X-Name-First: Hao Author-X-Name-Last: Wu Author-Name: Hao Ye Author-X-Name-First: Hao Author-X-Name-Last: Ye Title: State estimation for networked systems: an extended IMM algorithm Abstract: In this article, the problem of state estimation for networked systems (NSs) with three kinds of observation uncertainties (i.e. missing measurements, packet delays and packet dropouts) and without timestamps in the measurement data is investigated. Both the measurement state and network transmission state are assumed to follow a Markov process, which can capture the temporal correlation nature of the measurement process and network channels. The NS is modelled as a special Markovian jump linear system (MJLS). Then, by modifying the widely adopted interacting multiple models (IMM) algorithm, an extended IMM algorithm for the state estimation of the MJLS is proposed. The multiple filters strategy adopted in this article takes advantage of the particular characteristics of each mode as much as possible and updates the probability estimation of each mode; ultimately, it achieves better estimation performance than the single filter strategy used in existing approaches. Another contribution of this article is the extension of the standard IMM algorithm to handle some special characteristics of the MJLS established herein. The effectiveness and advantage of the proposed method are verified by simulation. Journal: International Journal of Systems Science Pages: 1274-1289 Issue: 7 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670311 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670311 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:7:p:1274-1289 Template-Type: ReDIF-Article 1.0 Author-Name: Duzhi Wu Author-X-Name-First: Duzhi Author-X-Name-Last: Wu Author-Name: Jie Zhou Author-X-Name-First: Jie Author-X-Name-Last: Zhou Author-Name: Aiping Hu Author-X-Name-First: Aiping Author-X-Name-Last: Hu Author-Name: Fan Li Author-X-Name-First: Fan Author-X-Name-Last: Li Title: Robust distributed fusion for system with randomly uncertain sensor estimation error cross-covariance Abstract: In a distributed estimation system, the local sensor estimates are transferred to fusion center and fused to be an optimal estimation according to some criterion. The well-known best linear unbiased estimation (BLUE) fusion optimally combines the local estimates by minimising the covariance matrix of estimation errors. However, the BLUE fusion need know the cross-covariances of sensor estimation errors exactly, which are not attainable in most of practical applications. In this article, the random matrix is employed to describe the uncertainty of the estimation error covariance among the sensors. By minimising the estimation error covariance only for the most favorable realisations of the random matrix, we model it as an optimisation problem with chance constraint. With appropriate relaxation method, a robust linear unbiased estimation fusion is proposed analytically. Furthermore, an upper bound on the relaxation gap is proposed. Finally, we demonstrate through some numerical simulations that the presented estimation fusion always has smaller absolute estimation error than that of the covariance intersection filter. Journal: International Journal of Systems Science Pages: 1245-1252 Issue: 7 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670389 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670389 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:7:p:1245-1252 Template-Type: ReDIF-Article 1.0 Author-Name: Yang Yi Author-X-Name-First: Yang Author-X-Name-Last: Yi Author-Name: ChangYin Sun Author-X-Name-First: ChangYin Author-X-Name-Last: Sun Author-Name: Lei Guo Author-X-Name-First: Lei Author-X-Name-Last: Guo Title: Probabilistic tracking control for non-Gaussian stochastic process using novel iterative learning algorithms Abstract: A new generalised iterative learning algorithm is presented for complex dynamic non-Gaussian stochastic processes. After designed neural networks are used to approximate the output probability density function (PDF) of the stochastic system in the repetitive processes or the batch processes, the complex probabilistic tracking control to the output PDF is simplified into a parameter tuning problem between two adjacent repetitive processes. Under this framework, this article studies a novel model free iterative learning control problem and proposes a convex optimisation algorithm based on a set of designed linear matrix inequalities and L1 optimisation index. It is noted that such an algorithm can improve the tracking performance and robustness for the closed-loop PDF control. A simulated example is given, which effectively demonstrates the use of the proposed control algorithm. Journal: International Journal of Systems Science Pages: 1325-1332 Issue: 7 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.683836 File-URL: http://hdl.handle.net/10.1080/00207721.2012.683836 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:7:p:1325-1332 Template-Type: ReDIF-Article 1.0 Author-Name: Yanyan Yin Author-X-Name-First: Yanyan Author-X-Name-Last: Yin Author-Name: Peng Shi Author-X-Name-First: Peng Author-X-Name-Last: Shi Author-Name: Fei Liu Author-X-Name-First: Fei Author-X-Name-Last: Liu Author-Name: Yongduan Song Author-X-Name-First: Yongduan Author-X-Name-Last: Song Title: scheduling control on stochastic neutral systems subject to actuator nonlinearity Abstract: In this article, we propose a method for designing continuous gain-scheduled robust H∞ controller for a class of stochastic time-varying neutral systems subject to time-varying delay and actuator saturation. Initially, at different selected time points, one can obtain a series of time-constant neutral system models with Markov jumping parameter. Subsequently, H∞ controller is designed for each constant stochastic neutral system which guarantees exponential stochastic stabilisation of the system. Lastly, continuous gain-scheduled controller design method is employed, and an entire time-varying controller is designed for the whole working region. Simulation example is given to illustrate the effectiveness of developed techniques. Journal: International Journal of Systems Science Pages: 1301-1311 Issue: 7 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.684907 File-URL: http://hdl.handle.net/10.1080/00207721.2012.684907 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:7:p:1301-1311 Template-Type: ReDIF-Article 1.0 Author-Name: Xiao He Author-X-Name-First: Xiao Author-X-Name-Last: He Author-Name: Zidong Wang Author-X-Name-First: Zidong Author-X-Name-Last: Wang Author-Name: Y.D. Ji Author-X-Name-First: Y.D. Author-X-Name-Last: Ji Author-Name: D.H. Zhou Author-X-Name-First: D.H. Author-X-Name-Last: Zhou Title: State estimation for networked systems with randomly occurring quantisations Abstract: In this article, the state estimation problem is investigated for a class of discrete-time networked systems with randomly occurring quantisations. Logarithmic quantisers with different quantisation laws are considered and a Bernoulli distributed stochastic sequence is utilised to determine which quantiser is used at a certain time instant. After converting the quantisation effects into sector-bounded parameter uncertainties, a sufficient condition ensuring the existence of desirable estimators is proposed by using Lyapunov function approach, and parameters of the desired estimator are further obtained. Simulation is carried out on a networked three-tank system in order to illustrate the applicability of the proposed state estimation technique. Journal: International Journal of Systems Science Pages: 1253-1263 Issue: 7 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.702245 File-URL: http://hdl.handle.net/10.1080/00207721.2012.702245 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:7:p:1253-1263 Template-Type: ReDIF-Article 1.0 Author-Name: Zidong Wang Author-X-Name-First: Zidong Author-X-Name-Last: Wang Author-Name: Yugang Niu Author-X-Name-First: Yugang Author-X-Name-Last: Niu Title: Probability-constrained analysis, filtering and control Journal: International Journal of Systems Science Pages: 1189-1192 Issue: 7 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2013.736198 File-URL: http://hdl.handle.net/10.1080/00207721.2013.736198 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:7:p:1189-1192 Template-Type: ReDIF-Article 1.0 Author-Name: Hua Han Author-X-Name-First: Hua Author-X-Name-Last: Han Author-Name: Yongsheng Ding Author-X-Name-First: Yongsheng Author-X-Name-Last: Ding Author-Name: Kuangrong Hao Author-X-Name-First: Kuangrong Author-X-Name-Last: Hao Author-Name: Liangjian Hu Author-X-Name-First: Liangjian Author-X-Name-Last: Hu Title: Particle filter for state estimation of jump Markov nonlinear system with application to multi-targets tracking Abstract: In this article, we first introduce the problem of state estimation of jump Markov nonlinear systems (JMNSs). Since the density evolution method for predictor equations satisfies Fokker–Planck–Kolmogorov equation (FPKE) in Bayes estimation, the FPKE in conjunction with Bayes’ conditional density update formula can provide optimal estimation for a general continuous-discrete nonlinear filtering problem. It is well known that the analytical solution of the FPKE and Bayes’ formula is extremely difficult to obtain except a few special cases. Hence, we try to design a particle filter to achieve Bayes estimation of the JMNSs. In order to test the viability of our algorithm, we apply it to multiple targets tracking in video surveillance. Before starting simulation, we introduce the ‘birth’ and ‘death’ description of targets, targets’ transitional probability model, and observation probability. The experiment results show good performance of our proposed filter for multiple targets tracking. Journal: International Journal of Systems Science Pages: 1333-1343 Issue: 7 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.737486 File-URL: http://hdl.handle.net/10.1080/00207721.2012.737486 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:7:p:1333-1343 Template-Type: ReDIF-Article 1.0 Author-Name: Basil Kouvaritakis Author-X-Name-First: Basil Author-X-Name-Last: Kouvaritakis Author-Name: Mark Cannon Author-X-Name-First: Mark Author-X-Name-Last: Cannon Author-Name: Diego Muñoz-Carpintero Author-X-Name-First: Diego Author-X-Name-Last: Muñoz-Carpintero Title: Efficient prediction strategies for disturbance compensation in stochastic MPC Abstract: The optimisation of predicted control policies in model predictive control (MPC) enables the use of information on uncertainty that, though not available at current time, will be so at a future point on the prediction horizon. Optimisation over feedback laws is however prohibitively computationally expensive. The so-called affine-in-the-disturbance strategies provide a compromise and this article considers the use of disturbance compensation in the context of stochastic MPC. Unlike the earlier approaches, compensation here is applied over the entire prediction horizon (extending to infinity) thereby leading to a significant constraint relaxation which makes more control authority available for the optimisation of performance. In addition, our compensation has a striped lower triangular dependence on the uncertainty on account of which the relevant gains can be obtained sequentially, thereby reducing computational complexity. Further reduction in computation is achieved by performing this computation offline. Simulation results show that this reduction can be gained at a negligible cost in terms of closed-loop performance. Journal: International Journal of Systems Science Pages: 1344-1353 Issue: 7 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.737487 File-URL: http://hdl.handle.net/10.1080/00207721.2012.737487 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:7:p:1344-1353 Template-Type: ReDIF-Article 1.0 Author-Name: José Manuel Gascueña Author-X-Name-First: José Manuel Author-X-Name-Last: Gascueña Author-Name: José Carlos Castillo Author-X-Name-First: José Carlos Author-X-Name-Last: Castillo Author-Name: Elena Navarro Author-X-Name-First: Elena Author-X-Name-Last: Navarro Author-Name: Antonio Fernández-Caballero Author-X-Name-First: Antonio Author-X-Name-Last: Fernández-Caballero Title: Engineering the development of systems for multisensory monitoring and activity interpretation Abstract: Multisensory monitoring and activity interpretation systems are being increasingly used as a suitable means to detect situations and make decisions in an intelligent manner. However, there is a lack of formalised processes that guide the stakeholders in their development. Most of the current proposals focus on the implementation and evaluation of low-level algorithms. In order to overcome this lack, a process called INT3-SDP that guides stakeholders in the development of systems capable of carrying out multisensory monitoring and INTerpretation of behaviours and situations for an INTelligent INTervention in complex and dynamic environments is described in this paper. In this work, it is described how INT3-SDP provides the analysts with the guidelines and models necessary for the description of the environment to be monitored and the sensors to be installed, as well as in the implementation of the software components that perform the monitoring and activity interpretation tasks. Moreover, a case study is also presented in order to illustrate how INT3-SDP is put into practice. Journal: International Journal of Systems Science Pages: 728-740 Issue: 4 Volume: 45 Year: 2014 Month: 4 X-DOI: 10.1080/00207721.2013.779048 File-URL: http://hdl.handle.net/10.1080/00207721.2013.779048 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:4:p:728-740 Template-Type: ReDIF-Article 1.0 Author-Name: D. Vallejo Author-X-Name-First: D. Author-X-Name-Last: Vallejo Author-Name: J. Albusac Author-X-Name-First: J. Author-X-Name-Last: Albusac Author-Name: C. Glez-Morcillo Author-X-Name-First: C. Author-X-Name-Last: Glez-Morcillo Author-Name: J.J. Castro-Schez Author-X-Name-First: J.J. Author-X-Name-Last: Castro-Schez Author-Name: L. Jiménez Author-X-Name-First: L. Author-X-Name-Last: Jiménez Title: A multi-agent approach to intelligent monitoring in smart grids Abstract: In this paper, we propose a scalable multi-agent architecture to give support to smart grids, paying special attention to the intelligent monitoring of distribution substations. The data gathered by multiple sensors are used by software agents that are responsible for monitoring different aspects or events of interest, such as normal voltage values or unbalanced intensity values that can end up blowing fuses and decreasing the quality of service of end consumers. The knowledge bases of these agents have been built by means of a formal model for normality analysis that has been successfully used in other surveillance domains. The architecture facilitates the integration of new agents and can be easily configured and deployed to monitor different environments. The experiments have been conducted over a power distribution network. Journal: International Journal of Systems Science Pages: 756-777 Issue: 4 Volume: 45 Year: 2014 Month: 4 X-DOI: 10.1080/00207721.2013.783644 File-URL: http://hdl.handle.net/10.1080/00207721.2013.783644 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:4:p:756-777 Template-Type: ReDIF-Article 1.0 Author-Name: José Carlos Castillo Author-X-Name-First: José Carlos Author-X-Name-Last: Castillo Author-Name: Davide Carneiro Author-X-Name-First: Davide Author-X-Name-Last: Carneiro Author-Name: Juan Serrano-Cuerda Author-X-Name-First: Juan Author-X-Name-Last: Serrano-Cuerda Author-Name: Paulo Novais Author-X-Name-First: Paulo Author-X-Name-Last: Novais Author-Name: Antonio Fernández-Caballero Author-X-Name-First: Antonio Author-X-Name-Last: Fernández-Caballero Author-Name: José Neves Author-X-Name-First: José Author-X-Name-Last: Neves Title: A multi-modal approach for activity classification and fall detection Abstract: The society is changing towards a new paradigm in which an increasing number of old adults live alone. In parallel, the incidence of conditions that affect mobility and independence is also rising as a consequence of a longer life expectancy. In this paper, the specific problem of falls of old adults is addressed by devising a technological solution for monitoring these users. Video cameras, accelerometers and GPS sensors are combined in a multi-modal approach to monitor humans inside and outside the domestic environment. Machine learning techniques are used to detect falls and classify activities from accelerometer data. Video feeds and GPS are used to provide location inside and outside the domestic environment. It results in a monitoring solution that does not imply the confinement of the users to a closed environment. Journal: International Journal of Systems Science Pages: 810-824 Issue: 4 Volume: 45 Year: 2014 Month: 4 X-DOI: 10.1080/00207721.2013.784372 File-URL: http://hdl.handle.net/10.1080/00207721.2013.784372 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:4:p:810-824 Template-Type: ReDIF-Article 1.0 Author-Name: Alvaro Luis Bustamante Author-X-Name-First: Alvaro Author-X-Name-Last: Luis Bustamante Author-Name: José M. Molina Author-X-Name-First: José M. Author-X-Name-Last: Molina Author-Name: Miguel A. Patricio Author-X-Name-First: Miguel A. Author-X-Name-Last: Patricio Title: A practical approach for active camera coordination based on a fusion-driven multi-agent system Abstract: In this paper, we propose a multi-agent system architecture to manage spatially distributed active (or pan-tilt-zoom) cameras. Traditional video surveillance algorithms are of no use for active cameras, and we have to look at different approaches. Such multi-sensor surveillance systems have to be designed to solve two related problems: data fusion and coordinated sensor-task management. Generally, architectures proposed for the coordinated operation of multiple cameras are based on the centralisation of management decisions at the fusion centre. However, the existence of intelligent sensors capable of decision making brings with it the possibility of conceiving alternative decentralised architectures. This problem is approached by means of a MAS, integrating data fusion as an integral part of the architecture for distributed coordination purposes. This paper presents the MAS architecture and system agents. Journal: International Journal of Systems Science Pages: 741-755 Issue: 4 Volume: 45 Year: 2014 Month: 4 X-DOI: 10.1080/00207721.2013.795632 File-URL: http://hdl.handle.net/10.1080/00207721.2013.795632 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:4:p:741-755 Template-Type: ReDIF-Article 1.0 Author-Name: Héctor F. Gómez A Author-X-Name-First: Héctor F. Author-X-Name-Last: Gómez A Author-Name: Rafael Martínez-Tomás Author-X-Name-First: Rafael Author-X-Name-Last: Martínez-Tomás Author-Name: Susana A. Arias Tapia Author-X-Name-First: Susana A. Arias Author-X-Name-Last: Tapia Author-Name: Mariano Rincón Zamorano Author-X-Name-First: Mariano Rincón Author-X-Name-Last: Zamorano Title: Using semantic technologies and the OSU ontology for modelling context and activities in multi-sensory surveillance systems Abstract: Automatic systems that monitor human behaviour for detecting security problems are a challenge today. Previously, our group defined the Horus framework, which is a modular architecture for the integration of multi-sensor monitoring stages. In this work, structure and technologies required for high-level semantic stages of Horus are proposed, and the associated methodological principles established with the aim of recognising specific behaviours and situations.Our methodology distinguishes three semantic levels of events: low level (compromised with sensors), medium level (compromised with context), and high level (target behaviours). The ontology for surveillance and ubiquitous computing has been used to integrate ontologies from specific domains and together with semantic technologies have facilitated the modelling and implementation of scenes and situations by reusing components.A home context and a supermarket context were modelled following this approach, where three suspicious activities were monitored via different virtual sensors. The experiments demonstrate that our proposals facilitate the rapid prototyping of this kind of systems. Journal: International Journal of Systems Science Pages: 798-809 Issue: 4 Volume: 45 Year: 2014 Month: 4 X-DOI: 10.1080/00207721.2013.801095 File-URL: http://hdl.handle.net/10.1080/00207721.2013.801095 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:4:p:798-809 Template-Type: ReDIF-Article 1.0 Author-Name: Chuan-Jun Su Author-X-Name-First: Chuan-Jun Author-X-Name-Last: Su Author-Name: Chang-Yu Chiang Author-X-Name-First: Chang-Yu Author-X-Name-Last: Chiang Title: Pervasive community care platform: Ambient Intelligence leveraging sensor networks and mobile agents Abstract: Several powerful trends are contributing to an aging of much of the world's population, especially in economically developed countries. To mitigate the negative effects of rapidly ageing populations, societies must act early to plan for the welfare, medical care and residential arrangements of their senior citizens, and for the manpower and associated training needed to execute these plans. This paper describes the development of an Ambient Intelligent Community Care Platform (AICCP), which creates an environment of Ambient Intelligence through the use of sensor network and mobile agent (MA) technologies. The AICCP allows caregivers to quickly and accurately locate their charges; access, update and share critical treatment and wellness data; and automatically archive all records. The AICCP presented in this paper is expected to enable caregivers and communities to offer pervasive, accurate and context-aware care services. Journal: International Journal of Systems Science Pages: 778-797 Issue: 4 Volume: 45 Year: 2014 Month: 4 X-DOI: 10.1080/00207721.2013.807384 File-URL: http://hdl.handle.net/10.1080/00207721.2013.807384 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:4:p:778-797 Template-Type: ReDIF-Article 1.0 Author-Name: Claudia F. Castillo Author-X-Name-First: Claudia F. Author-X-Name-Last: Castillo Author-Name: Seref Naci Engin Author-X-Name-First: Seref Naci Author-X-Name-Last: Engin Author-Name: Vicente Feliu Batlle Author-X-Name-First: Vicente Feliu Author-X-Name-Last: Batlle Title: Design, dynamic modelling and experimental validation of a 2DOF flexible antenna sensor Abstract: A two-degree-of-freedom flexible antenna sensor platform was designed to physically simulate the ability of a robotic arm, which rapidly reorients and targets itself towards specific surfaces from different approachable angles. An accurate antenna model involves non-linear expressions that represent the system dynamics. Therefore, a comprehensive study along with experimental work has been carried out in order to achieve accurate system identification and validate the dynamic model. The model developed has proven useful in controlling the antenna tip, minimising the effects of the non-linear flexural dynamics and the Coulomb friction. The system was driven by servo motors. Algebraic controllers were developed for the antenna tip to track the reference trajectory. The platform system used encoders to measure the joint angles and a loadcell sensor to obtain the flexible link tip position. To validate the sensory information, the results obtained by the integrated sensors were compared to that of an external camera system. Journal: International Journal of Systems Science Pages: 714-727 Issue: 4 Volume: 45 Year: 2014 Month: 4 X-DOI: 10.1080/00207721.2013.819948 File-URL: http://hdl.handle.net/10.1080/00207721.2013.819948 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:4:p:714-727 Template-Type: ReDIF-Article 1.0 Author-Name: Elena Navarro Author-X-Name-First: Elena Author-X-Name-Last: Navarro Author-Name: Antonio Fernández-Caballero Author-X-Name-First: Antonio Author-X-Name-Last: Fernández-Caballero Author-Name: Rafael Martínez-Tomás Author-X-Name-First: Rafael Author-X-Name-Last: Martínez-Tomás Title: Intelligent multisensory systems in support of information society Journal: International Journal of Systems Science Pages: 711-713 Issue: 4 Volume: 45 Year: 2014 Month: 4 X-DOI: 10.1080/00207721.2014.844916 File-URL: http://hdl.handle.net/10.1080/00207721.2014.844916 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:4:p:711-713 Template-Type: ReDIF-Article 1.0 Author-Name: R. Rakkiyappan Author-X-Name-First: R. Author-X-Name-Last: Rakkiyappan Author-Name: A. Chandrasekar Author-X-Name-First: A. Author-X-Name-Last: Chandrasekar Author-Name: S. Lakshmanan Author-X-Name-First: S. Author-X-Name-Last: Lakshmanan Title: Stochastic sampled data robust stabilisation of T-S fuzzy neutral systems with randomly occurring uncertainties and time-varying delays Abstract: This paper is concerned with the stochastic sampled data robust stabilisation of T-S fuzzy neutral systems with randomly occurring uncertainties and time-varying delays. The sampling period is assumed to be m in number, whose occurrence probabilities are given constants and satisfy Bernoulli distribution. By introducing an improved Lyapunov–Krasovskii functional with new triple integral terms and by combining both the convex combination technique and reciprocal convex technique, delay-dependent robust stability criteria are obtained in terms of linear matrix inequalities. These linear matrix inequalities can be easily solved by using standard convex optimisation algorithms. The designed stochastic sampled data fuzzy controller gain can be obtained. Finally, three numerical examples are given to illustrate the effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 2247-2263 Issue: 10 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.981236 File-URL: http://hdl.handle.net/10.1080/00207721.2014.981236 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2247-2263 Template-Type: ReDIF-Article 1.0 Author-Name: R. Xie Author-X-Name-First: R. Author-X-Name-Last: Xie Author-Name: J.Y. Gong Author-X-Name-First: J.Y. Author-X-Name-Last: Gong Title: A probabilistic solution of robust control problem with scaled matrices Abstract: This paper addresses the robust H∞ control problem with scaled matrices. It is difficult to find a global optimal solution for this non-convex optimisation problem. A probabilistic solution, which can achieve globally optimal robust performance within any pre-specified tolerance, is obtained by using the proposed method based on randomised algorithm. In the proposed method, the scaled H∞ control problem is divided into two parts: (1) assume the scaled matrices be random variables, the scaled H∞ control problem is converted to a convex optimisation problem for the fixed sample of the scaled matrix and a optimal solution corresponding to the fixed sample is obtained; (2) a probabilistic optimal solution is obtained by using the randomised algorithm based on a finite number N optimal solutions, which are obtained in part (1). The analysis shows that the worst case complexity of proposed method is a polynomial. Journal: International Journal of Systems Science Pages: 2264-2271 Issue: 10 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.984360 File-URL: http://hdl.handle.net/10.1080/00207721.2014.984360 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2264-2271 Template-Type: ReDIF-Article 1.0 Author-Name: Shuorui Zhang Author-X-Name-First: Shuorui Author-X-Name-Last: Zhang Author-Name: Jitao Sun Author-X-Name-First: Jitao Author-X-Name-Last: Sun Title: Sample controllability of impulsive differential systems with random coefficients Abstract: In this paper, we investigate the controllability of impulsive differential systems with random coefficients. Impulsive differential systems with random coefficients are a different stochastic model from stochastic differential equations. Sufficient conditions of sample controllability for impulsive differential systems with random coefficients are obtained by using random Sadovskii's fixed-point theorem. Finally, an example is given to illustrate our results. Journal: International Journal of Systems Science Pages: 2272-2278 Issue: 10 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.984361 File-URL: http://hdl.handle.net/10.1080/00207721.2014.984361 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2272-2278 Template-Type: ReDIF-Article 1.0 Author-Name: Xiao-Dong Li Author-X-Name-First: Xiao-Dong Author-X-Name-Last: Li Author-Name: Mang-Mang Lv Author-X-Name-First: Mang-Mang Author-X-Name-Last: Lv Author-Name: John K. L. Ho Author-X-Name-First: John K. L. Author-X-Name-Last: Ho Title: Adaptive ILC algorithms of nonlinear continuous systems with non-parametric uncertainties for non-repetitive trajectory tracking Abstract: In this article, two adaptive iterative learning control (ILC) algorithms are presented for nonlinear continuous systems with non-parametric uncertainties. Unlike general ILC techniques, the proposed adaptive ILC algorithms allow that both the initial error at each iteration and the reference trajectory are iteration-varying in the ILC process, and can achieve non-repetitive trajectory tracking beyond a small initial time interval. Compared to the neural network or fuzzy system-based adaptive ILC schemes and the classical ILC methods, in which the number of iterative variables is generally larger than or equal to the number of control inputs, the first adaptive ILC algorithm proposed in this paper uses just two iterative variables, while the second even uses a single iterative variable provided that some bound information on system dynamics is known. As a result, the memory space in real-time ILC implementations is greatly reduced. Journal: International Journal of Systems Science Pages: 2279-2289 Issue: 10 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.992493 File-URL: http://hdl.handle.net/10.1080/00207721.2014.992493 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2279-2289 Template-Type: ReDIF-Article 1.0 Author-Name: Yuan Tao Author-X-Name-First: Yuan Author-X-Name-Last: Tao Author-Name: Dong Shen Author-X-Name-First: Dong Author-X-Name-Last: Shen Author-Name: Mengqi Fang Author-X-Name-First: Mengqi Author-X-Name-Last: Fang Author-Name: Youqing Wang Author-X-Name-First: Youqing Author-X-Name-Last: Wang Title: Reliable H control of discrete-time systems against random intermittent faults Abstract: A passive fault-tolerant control strategy is proposed for systems subject to a novel kind of intermittent fault, which is described by a Bernoulli distributed random variable. Three cases of fault location are considered, namely, sensor fault, actuator fault, and both sensor and actuator faults. The dynamic feedback controllers are designed not only to stabilise the fault-free system, but also to guarantee an acceptable performance of the faulty system. The robust H∞ performance index is used to evaluate the effectiveness of the proposed control scheme. In terms of linear matrix inequality, the sufficient conditions of the existence of controllers are given. An illustrative example indicates the effectiveness of the proposed fault-tolerant control method. Journal: International Journal of Systems Science Pages: 2290-2301 Issue: 10 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.992494 File-URL: http://hdl.handle.net/10.1080/00207721.2014.992494 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2290-2301 Template-Type: ReDIF-Article 1.0 Author-Name: Lu Han Author-X-Name-First: Lu Author-X-Name-Last: Han Author-Name: Jian Xiao Author-X-Name-First: Jian Author-X-Name-Last: Xiao Author-Name: Cunyong Qiu Author-X-Name-First: Cunyong Author-X-Name-Last: Qiu Author-Name: Jingchun Huang Author-X-Name-First: Jingchun Author-X-Name-Last: Huang Title: Decentralised finite-time control equation of large-scale switched systems using robust performance minimisation Abstract: Many actual engineering applications can be modelled as large-scale switched system, while switching behaviours often occur in some short finite time intervals; thus, it is significant to ensure the finite-time boundedness of large-scale switched system in practical terms. In this paper, the problems of finite-time stability analysis and stabilisation for large-scale switched system are addressed. First, considering different switching signals for subsystems, the concepts of decentralised finite-time boundedness (DFTB) and decentralised finite-time H∞ controllers are introduced, which focus on the dynamical transient behaviour of large-scale switched system during finite intervals. Under these concepts, several sufficient conditions are given to ensure a class of large-scale systems decentralised finite-time stable based on the decentralised average dwell times, and then the results are extended to H∞ finite-time boundedness of large-scale switched system. Finally, based on the results on DFTB, optimal decentralised H∞ controllers and average dwell times are designed under the minimum value of H∞ performance. Numerical examples are given to illustrate the effectiveness of the proposed approaches in this paper. Journal: International Journal of Systems Science Pages: 2302-2317 Issue: 10 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.992817 File-URL: http://hdl.handle.net/10.1080/00207721.2014.992817 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2302-2317 Template-Type: ReDIF-Article 1.0 Author-Name: Jinsha Li Author-X-Name-First: Jinsha Author-X-Name-Last: Li Author-Name: Junmin Li Author-X-Name-First: Junmin Author-X-Name-Last: Li Title: Distributed adaptive fuzzy iterative learning control of coordination problems for higher order multi-agent systems Abstract: In this paper, the adaptive fuzzy iterative learning control scheme is proposed for coordination problems of Mth order (M ≥ 2) distributed multi-agent systems. Every follower agent has a higher order integrator with unknown nonlinear dynamics and input disturbance. The dynamics of the leader are a higher order nonlinear systems and only available to a portion of the follower agents. With distributed initial state learning, the unified distributed protocols combined time-domain and iteration-domain adaptive laws guarantee that the follower agents track the leader uniformly on [0, T]. Then, the proposed algorithm extends to achieve the formation control. A numerical example and a multiple robotic system are provided to demonstrate the performance of the proposed approach. Journal: International Journal of Systems Science Pages: 2318-2329 Issue: 10 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.993139 File-URL: http://hdl.handle.net/10.1080/00207721.2014.993139 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2318-2329 Template-Type: ReDIF-Article 1.0 Author-Name: Hong Li Author-X-Name-First: Hong Author-X-Name-Last: Li Author-Name: Li Zhang Author-X-Name-First: Li Author-X-Name-Last: Zhang Author-Name: Yong-Chang Jiao Author-X-Name-First: Yong-Chang Author-X-Name-Last: Jiao Title: An interactive approach based on a discrete differential evolution algorithm for a class of integer bilevel programming problems Abstract: This paper presents an interactive approach based on a discrete differential evolution algorithm to solve a class of integer bilevel programming problems, in which integer decision variables are controlled by an upper-level decision maker and real-value or continuous decision variables are controlled by a lower-level decision maker. Using the Karush--Kuhn–Tucker optimality conditions in the lower-level programming, the original discrete bilevel formulation can be converted into a discrete single-level nonlinear programming problem with the complementarity constraints, and then the smoothing technique is applied to deal with the complementarity constraints. Finally, a discrete single-level nonlinear programming problem is obtained, and solved by an interactive approach. In each iteration, for each given upper-level discrete variable, a system of nonlinear equations including the lower-level variables and Lagrange multipliers is solved first, and then a discrete nonlinear programming problem only with inequality constraints is handled by using a discrete differential evolution algorithm. Simulation results show the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 2330-2341 Issue: 10 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.993348 File-URL: http://hdl.handle.net/10.1080/00207721.2014.993348 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2330-2341 Template-Type: ReDIF-Article 1.0 Author-Name: Juan-juan Peng Author-X-Name-First: Juan-juan Author-X-Name-Last: Peng Author-Name: Jian-qiang Wang Author-X-Name-First: Jian-qiang Author-X-Name-Last: Wang Author-Name: Jing Wang Author-X-Name-First: Jing Author-X-Name-Last: Wang Author-Name: Hong-yu Zhang Author-X-Name-First: Hong-yu Author-X-Name-Last: Zhang Author-Name: Xiao-hong Chen Author-X-Name-First: Xiao-hong Author-X-Name-Last: Chen Title: Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems Abstract: As a variation of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete and inconsistent information that exists in the real world. Simplified neutrosophic sets (SNSs) have been proposed for the main purpose of addressing issues with a set of specific numbers. However, there are certain problems regarding the existing operations of SNSs, as well as their aggregation operators and the comparison methods. Therefore, this paper defines the novel operations of simplified neutrosophic numbers (SNNs) and develops a comparison method based on the related research of intuitionistic fuzzy numbers. On the basis of these operations and the comparison method, some SNN aggregation operators are proposed. Additionally, an approach for multi-criteria group decision-making (MCGDM) problems is explored by applying these aggregation operators. Finally, an example to illustrate the applicability of the proposed method is provided and a comparison with some other methods is made. Journal: International Journal of Systems Science Pages: 2342-2358 Issue: 10 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.994050 File-URL: http://hdl.handle.net/10.1080/00207721.2014.994050 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2342-2358 Template-Type: ReDIF-Article 1.0 Author-Name: Guiyuan Fu Author-X-Name-First: Guiyuan Author-X-Name-Last: Fu Author-Name: Linlin Ou Author-X-Name-First: Linlin Author-X-Name-Last: Ou Author-Name: Weidong Zhang Author-X-Name-First: Weidong Author-X-Name-Last: Zhang Title: Robust adaptive tracking control of MIMO nonlinear systems in the presence of actuator hysteresis Abstract: Adaptive tracking control of a class of MIMO nonlinear system preceded by unknown hysteresis is investigated. Based on dynamic surface control, an adaptive robust control law is developed and compensators are designed to mitigate the influences of both the unknown bounded external uncertainties and the unknown Prandtl–Islinskii hysteresis. By adopting the low-pass filters, the explosion of complexity caused by tedious computation of the time derivatives of the virtual control laws is overcome. With the proposed control scheme, the closed-loop system is proved to be semi-globally ultimately bounded by the Lyapunov stability theory, and the output of the controlled system can track the desired trajectories with an arbitrarily small error. Finally, numerical simulations are given to verify the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 2359-2369 Issue: 10 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.994051 File-URL: http://hdl.handle.net/10.1080/00207721.2014.994051 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2359-2369 Template-Type: ReDIF-Article 1.0 Author-Name: Hui Lu Author-X-Name-First: Hui Author-X-Name-Last: Lu Author-Name: Chuan Zhou Author-X-Name-First: Chuan Author-X-Name-Last: Zhou Title: Dual scheduling and quantised control for networked control systems with communication constraints Abstract: A novel integrated design scheme of average dwell time scheduling strategy, dynamic bandwidth allocation policy and quantised control for a collection of networked control systems (NCSs) with time delay and communication constraints is proposed in this paper. A scheduling policy is presented to accommodate the limitation of communication capacity which depends on the convergence rate of closed-loop system and divergence rate of open-loop plant. Linear programming technique is adopted to dynamically allocate bit rate for each node and the strategy is used to make trade-offs between the network utilisation and the control performance which provides an effective way of optimising the quality of control (QoC) and the quality of service (QoS) for NCSs. Mid-tread uniform quantisers update the quantisation rules according to the assignment of the bit rate and convert the quantised state into a kind of input saturation with bounded disturbances. Taking into account the effect of dual scheduling strategy and quantisation, the NCSs are modelled as discrete-time switched systems with bounded disturbances. Furthermore, a scheduling and quantised feedback control co-design procedure is proposed for the simultaneous stabilisation of the collection of networked subsystems. Finally, a simulation example is given to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2370-2381 Issue: 10 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.994581 File-URL: http://hdl.handle.net/10.1080/00207721.2014.994581 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2370-2381 Template-Type: ReDIF-Article 1.0 Author-Name: Fangzheng Gao Author-X-Name-First: Fangzheng Author-X-Name-Last: Gao Author-Name: Yuqiang Wu Author-X-Name-First: Yuqiang Author-X-Name-Last: Wu Author-Name: Fushun Yuan Author-X-Name-First: Fushun Author-X-Name-Last: Yuan Title: Global output feedback stabilisation of high-order nonlinear systems with multiple time-varying delays Abstract: This paper investigates the problem of global output feedback stabilisation for a class of high-order nonlinear systems with multiple time-varying delays. By using backstepping recursive technique and the homogeneous domination approach, a continuous output feedback controller is successfully designed, and the global asymptotic stability of the resulting closed-loop system is proven with the help of an appropriate Lyapunov– Krasovskii functional. Two simulation examples are given to illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 2382-2392 Issue: 10 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.998318 File-URL: http://hdl.handle.net/10.1080/00207721.2014.998318 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2382-2392 Template-Type: ReDIF-Article 1.0 Author-Name: Franco Blanchini Author-X-Name-First: Franco Author-X-Name-Last: Blanchini Author-Name: Daniele Casagrande Author-X-Name-First: Daniele Author-X-Name-Last: Casagrande Author-Name: Stefano Miani Author-X-Name-First: Stefano Author-X-Name-Last: Miani Author-Name: Umberto Viaro Author-X-Name-First: Umberto Author-X-Name-Last: Viaro Title: Stable LPV realisation of the Smith predictor Abstract: The paper is concerned with the control of a linear plant with an output delay. As is known, when the plant parameters do not vary in time, the transfer function approach can be used to find a high-performing controller with the Smith-predictor structure. Such an approach in the domain of the Laplace transform is not directly applicable in the time-variant case. Nevertheless, it is shown that the transfer function of the Smith controller valid for constant values of the parameters can be realised in such a way that closed-loop stability, as well as point-wise optimal performance, is ensured also when the parameters vary with time. The suggested technique is applied to the control of a heat exchanger whose varying parameters include a measurement delay. Journal: International Journal of Systems Science Pages: 2393-2401 Issue: 10 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.998319 File-URL: http://hdl.handle.net/10.1080/00207721.2014.998319 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2393-2401 Template-Type: ReDIF-Article 1.0 Author-Name: Hongjiu Yang Author-X-Name-First: Hongjiu Author-X-Name-Last: Yang Author-Name: Luyang Zhang Author-X-Name-First: Luyang Author-X-Name-Last: Zhang Author-Name: Ling Zhao Author-X-Name-First: Ling Author-X-Name-Last: Zhao Author-Name: Yuan Yuan Author-X-Name-First: Yuan Author-X-Name-Last: Yuan Title: Fault-tolerant control of delta operator systems with actuator saturation and effectiveness loss Abstract: This paper studies the problem of robust fault-tolerant control against the actuator effectiveness loss for delta operator systems with actuator saturation. Ellipsoids are used to estimate the domain of attraction for the delta operator systems with actuator saturation and effectiveness loss. Some invariance set conditions used for enlarging the domain of attraction are expressed by linear matrix inequalities. Discussions on system performance optimisation are presented in this paper, including reduction on computational complexity, expansion of the domain of attraction and disturbance rejection. Two numerical examples are given to illustrate the effectiveness of the developed techniques. Journal: International Journal of Systems Science Pages: 2428-2439 Issue: 10 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.998320 File-URL: http://hdl.handle.net/10.1080/00207721.2014.998320 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2428-2439 Template-Type: ReDIF-Article 1.0 Author-Name: Zhang Xingong Author-X-Name-First: Zhang Author-X-Name-Last: Xingong Author-Name: Wang Yong Author-X-Name-First: Wang Author-X-Name-Last: Yong Author-Name: Bai Shikun Author-X-Name-First: Bai Author-X-Name-Last: Shikun Title: Single-machine group scheduling problems with deteriorating and learning effect Abstract: The concepts of deteriorating jobs and learning effects have been individually studied in many scheduling problems. However, most studies considering the deteriorating and learning effects ignore the fact that production efficiency can be increased by grouping various parts and products with similar designs and/or production processes. This phenomenon is known as ‘group technology’ in the literature. In this paper, a new group scheduling model with deteriorating and learning effects is proposed, where learning effect depends not only on job position, but also on the position of the corresponding job group; deteriorating effect depends on its starting time of the job. This paper shows that the makespan and the total completion time problems remain polynomial optimal solvable under the proposed model. In addition, a polynomial optimal solution is also presented to minimise the maximum lateness problem under certain agreeable restriction. Journal: International Journal of Systems Science Pages: 2402-2410 Issue: 10 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.998739 File-URL: http://hdl.handle.net/10.1080/00207721.2014.998739 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2402-2410 Template-Type: ReDIF-Article 1.0 Author-Name: Jian Li Author-X-Name-First: Jian Author-X-Name-Last: Li Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Simultaneous fault detection and control for switched systems with actuator faults Abstract: This paper is concerned with the fault detection and control problem for discrete-time switched systems. The actuator faults, especially ‘outage cases’, are considered. The detector/controller is designed simultaneously such that the closed-loop system switches under an average dwell time, and when a fault is detected, an alarm is generated and then the controller is switched to allow the norm of the states of the subsystem to increase within the acceptable limits. Thus, a switching strategy which combines average dwell time switching with event-driven switching is proposed. Under this switching strategy, the attention is focused on designing the detector/controller such that estimation errors between residual signals and faults are minimised for the fulfillment of fault detection objectives; simultaneously, the closed-loop system becomes asymptotically stable for the fulfillment of control objectives. A two-step procedure is adopted to obtain the solutions through satisfying a set of linear matrix inequalities. An example comprising of three cases is considered. Through these cases, it is demonstrated that the fault detection and control for switched systems using a two-stage switching strategy and asynchronous switching are feasible. Journal: International Journal of Systems Science Pages: 2411-2427 Issue: 10 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.998740 File-URL: http://hdl.handle.net/10.1080/00207721.2014.998740 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2411-2427 Template-Type: ReDIF-Article 1.0 Author-Name: Chunlai Li Author-X-Name-First: Chunlai Author-X-Name-Last: Li Author-Name: Jing Zhang Author-X-Name-First: Jing Author-X-Name-Last: Zhang Title: Synchronisation of a fractional-order chaotic system using finite-time input-to-state stability Abstract: The issue of synchronisation for a fractional-order chaotic system with uncertainties and disturbance is studied in this paper. The finite-time input-to-state stable theory of fractional-order dynamical system is presented for the first time. A linear feedback controller is proposed to achieve synchronisation of this fractional-order system and guarantee the bounded state error for any bounded interference in finite time. Since the chaotic system displays special dynamical behaviours as invariable Lyapunov exponent spectrums and controllable signal amplitude, one can achieve complete synchronisation and projective synchronisation by only adjusting the system parameter. Numerical simulations are shown to verify the feasibility of the presented synchronisation scheme. Journal: International Journal of Systems Science Pages: 2440-2448 Issue: 10 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.998741 File-URL: http://hdl.handle.net/10.1080/00207721.2014.998741 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2440-2448 Template-Type: ReDIF-Article 1.0 Author-Name: M. Saburov Author-X-Name-First: M. Author-X-Name-Last: Saburov Author-Name: K. Saburov Author-X-Name-First: K. Author-X-Name-Last: Saburov Title: Reaching a consensus: a discrete nonlinear time-varying case Abstract: In this paper, we have considered a nonlinear protocol for a structured time-varying and synchronous multi-agent system. By means of cubic triple stochastic matrices, we present an opinion sharing dynamics of the multi-agent system as a trajectory of a non-homogeneous system of cubic triple stochastic matrices. We show that the multi-agent system eventually reaches to a consensus if either of the following two conditions is satisfied: (1) every member of the group people has a positive subjective distribution on the given task after some revision steps or (2) all entries of some cubic triple stochastic matrix are positive. Journal: International Journal of Systems Science Pages: 2449-2457 Issue: 10 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.998743 File-URL: http://hdl.handle.net/10.1080/00207721.2014.998743 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2449-2457 Template-Type: ReDIF-Article 1.0 Author-Name: A. Toomaj Author-X-Name-First: A. Author-X-Name-Last: Toomaj Author-Name: M. Doostparast Author-X-Name-First: M. Author-X-Name-Last: Doostparast Title: On the Kullback Leibler information for mixed systems Abstract: Entropy and Kullback–Leibler (KL) information for engineering systems have been studied in both statistical and reliability contexts. In this paper, we prove that the KL information between distributions of mixed system lifetimes and the corresponding component lifetimes and also the associated order statistics are distribution free and depends only on the signature of the system provided that lifetimes of components are independent and identically distributed (iid). The obtained results are used to find the closest and the farthest distribution of order statistics from the distribution of the system’s lifetime which is useful to approximate stochastic behaviour of mixed systems when the number of components is large. Finally, we provide bounds and also use the results to obtain a more preferable system among all systems. Some illustrative examples are also given. Journal: International Journal of Systems Science Pages: 2458-2465 Issue: 10 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.998744 File-URL: http://hdl.handle.net/10.1080/00207721.2014.998744 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2458-2465 Template-Type: ReDIF-Article 1.0 Author-Name: Liming Lee Author-X-Name-First: Liming Author-X-Name-Last: Lee Author-Name: Kit Ian Kou Author-X-Name-First: Kit Ian Author-X-Name-Last: Kou Author-Name: Wentao Zhang Author-X-Name-First: Wentao Author-X-Name-Last: Zhang Author-Name: Jinling Liang Author-X-Name-First: Jinling Author-X-Name-Last: Liang Author-Name: Yang Liu Author-X-Name-First: Yang Author-X-Name-Last: Liu Title: Robust finite-time boundedness of multi-agent systems subject to parametric uncertainties and disturbances Abstract: In this paper, we consider finite-time control problems for linear multi-agent systems subject to exogenous constant disturbances and impulses. Some sufficient conditions are obtained to ensure the finite-time boundedness of the multi-agent systems, which could be then reduced to a feasibility problem involving linear matrix inequalities. Numerical examples are given to illustrate the results. Journal: International Journal of Systems Science Pages: 2466-2474 Issue: 10 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.998745 File-URL: http://hdl.handle.net/10.1080/00207721.2014.998745 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2466-2474 Template-Type: ReDIF-Article 1.0 Author-Name: H.J. Savino Author-X-Name-First: H.J. Author-X-Name-Last: Savino Author-Name: F.O. Souza Author-X-Name-First: F.O. Author-X-Name-Last: Souza Author-Name: L.C.A. Pimenta Author-X-Name-First: L.C.A. Author-X-Name-Last: Pimenta Title: Consensus with guaranteed convergence rate of high-order integrator agents in the presence of time-varying delays Abstract: This paper aims to study the consensus problem in directed networks of agents with high-order integrator dynamics and fixed topology. It is considered the existence of non-uniform time-varying delays in the agents control laws for each interaction between agents and their neighbours. Based on Lyapunov–Krasovskii stability theory and algebraic graph theory, sufficient conditions, in terms of linear matrix inequalities, are given to verify if consensus is achieved with guaranteed exponential convergence rate. The efficiency of the proposed method is verified by numerical simulations. The simulations reveal that the conditions established in this work outperformed the similar existing ones in all numerical tests accomplished in this paper. Journal: International Journal of Systems Science Pages: 2475-2486 Issue: 10 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.998750 File-URL: http://hdl.handle.net/10.1080/00207721.2014.998750 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2475-2486 Template-Type: ReDIF-Article 1.0 Author-Name: Yuechao Ma Author-X-Name-First: Yuechao Author-X-Name-Last: Ma Author-Name: Shujie Jin Author-X-Name-First: Shujie Author-X-Name-Last: Jin Author-Name: Nannan Gu Author-X-Name-First: Nannan Author-X-Name-Last: Gu Title: Decentralised memory static output feedback control for the nonlinear time-delay similar interconnected systems Abstract: In this paper, the problem of decentralised memory static output feedback control for a class of nonlinear time-delayed interconnected systems with similar structure is investigated, where both the linear and nonlinear state vectors involve time delay. The contributions of the paper include the following: (1) a new similar structure is presented via memory static output feedback; (2) by exploiting the structure of interconnected systems, the new integral inequalities, constrained Lyapunov equations and LMI method, the decentralised memory static output derivative feedback controllers with similar structure are designed, which is dependent of time delays, to stabilise the interconnected systems uniformly asymptotically; and (3) the stability domain is estimated. The conservatism of the results obtained is reduced by full using the system output information. Finally, the numerical examples are given to demonstrate the effectiveness of the results obtained in this paper. Journal: International Journal of Systems Science Pages: 2487-2498 Issue: 10 Volume: 47 Year: 2016 Month: 7 X-DOI: 10.1080/00207721.2014.999264 File-URL: http://hdl.handle.net/10.1080/00207721.2014.999264 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2487-2498 Template-Type: ReDIF-Article 1.0 Author-Name: Muhammad Shamrooz Aslam Author-X-Name-First: Muhammad Shamrooz Author-X-Name-Last: Aslam Author-Name: Ziran Chen Author-X-Name-First: Ziran Author-X-Name-Last: Chen Author-Name: Baoyong Zhang Author-X-Name-First: Baoyong Author-X-Name-Last: Zhang Title: Event-triggered fuzzy filtering in networked control system for a class of non-linear system with time delays Abstract: This paper focuses on the design of H ∞ filter and event-triggered scheme for a class of continuous non-linear networked control systems (NCSs) based on fuzzy system appeared with time delays. First, we consider the discrete event-triggered (ET) scheme to make efficient utilisation of bandwidth. Under this ET-scheme, sensor releases the data only when our sampled-data plant violates the specific event-triggered condition. Second, the T-S fuzzy system is used to model the non-linear NCSs. Another purpose of this paper is to design filters involving delays. Such filters have a more general form than the delay-free filters that have been mostly considered in the traditional studies. By using the time-delay system, co-design of event-triggered scheme and H ∞ filter for the delayed NCSs is presented in a unified frame work. To choose the latest data packet and discard the dis-ordered packet logic, zero-order hold is inserted between the fuzzy filter and event generator. Then, by using the novel fuzzy Lyapunov–Krasovskii function approach with free-weighting matrix technique, H ∞ filter design of event-triggered delay NCSs is proposed. Finally, to show the effective result of our co-design method, a tunnel-diode example is given. Journal: International Journal of Systems Science Pages: 1587-1602 Issue: 8 Volume: 49 Year: 2018 Month: 6 X-DOI: 10.1080/00207721.2018.1463410 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1463410 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:8:p:1587-1602 Template-Type: ReDIF-Article 1.0 Author-Name: Guangming Zhuang Author-X-Name-First: Guangming Author-X-Name-Last: Zhuang Author-Name: Jianwei Xia Author-X-Name-First: Jianwei Author-X-Name-Last: Xia Author-Name: Weihai Zhang Author-X-Name-First: Weihai Author-X-Name-Last: Zhang Author-Name: Wei Sun Author-X-Name-First: Wei Author-X-Name-Last: Sun Author-Name: Qun Sun Author-X-Name-First: Qun Author-X-Name-Last: Sun Title: Normalisation design for delayed singular Markovian jump systems based on system transformation technique Abstract: This paper deals with the problem of normalisation and stabilisation for time-varying delayed singular Markovian jump systems by virtue of proportional-derivative state feedback control. Based on the system transformation technique, the normalisation problem of singular systems is changed into the stabilisation problem of the augmented singular systems. Sufficient conditions are provided in terms of linear matrix inequalities by constructing mode-dependent and delay-dependent Lyapunov–Krasovskii functional. Simulation examples including an oil catalytic cracking process are utilised to verify the effectiveness and usefulness of the proposed method. Journal: International Journal of Systems Science Pages: 1603-1614 Issue: 8 Volume: 49 Year: 2018 Month: 6 X-DOI: 10.1080/00207721.2018.1463411 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1463411 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:8:p:1603-1614 Template-Type: ReDIF-Article 1.0 Author-Name: Yanhui Xi Author-X-Name-First: Yanhui Author-X-Name-Last: Xi Author-Name: Hui Peng Author-X-Name-First: Hui Author-X-Name-Last: Peng Title: Modelling financial time series based on heavy-tailed market microstructure models with scale mixtures of normal distributions Abstract: This paper presents a type of heavy-tailed market microstructure models with the scale mixtures of normal distributions (MM-SMN), which include two specific sub-classes, viz. the slash and the Student-t distributions. Under a Bayesian perspective, the Markov Chain Monte Carlo (MCMC) method is constructed to estimate all the parameters and latent variables in the proposed MM-SMN models. Two evaluating indices, namely the deviance information criterion (DIC) and the test of white noise hypothesis on the standardised residual, are used to compare the MM-SMN models with the classic normal market microstructure (MM-N) model and the stochastic volatility models with the scale mixtures of normal distributions (SV-SMN). Empirical studies on daily stock return data show that the MM-SMN models can accommodate possible outliers in the observed returns by use of the mixing latent variable. These results also indicate that the heavy-tailed MM-SMN models have better model fitting than the MM-N model, and the market microstructure model with slash distribution (MM-s) has the best model fitting. Finally, the two evaluating indices indicate that the market microstructure models with three different distributions are superior to the corresponding stochastic volatility models. Journal: International Journal of Systems Science Pages: 1615-1626 Issue: 8 Volume: 49 Year: 2018 Month: 6 X-DOI: 10.1080/00207721.2018.1464607 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1464607 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:8:p:1615-1626 Template-Type: ReDIF-Article 1.0 Author-Name: Pingjing Yang Author-X-Name-First: Pingjing Author-X-Name-Last: Yang Author-Name: Yuechao Ma Author-X-Name-First: Yuechao Author-X-Name-Last: Ma Author-Name: Fengman Yang Author-X-Name-First: Fengman Author-X-Name-Last: Yang Author-Name: Debin Kong Author-X-Name-First: Debin Author-X-Name-Last: Kong Author-Name: Lin Wang Author-X-Name-First: Lin Author-X-Name-Last: Wang Title: Passivity control for uncertain singular discrete T–S fuzzy time-delay systems subject to actuator saturation Abstract: This paper deals with passivity control for uncertain singular discrete T–S (Takagi-Sugeno) fuzzy time-delay systems subject to actuator saturation. Primarily, a sufficient condition is derived which guarantees that the uncertain singular discrete T–S (Linear matrix inequality) constraints is formulated to estimate the domain of attraction for the discrete T–S closed-loop system. At last, we show the applicability and superiority of obtained theoretical results through three simulations. Journal: International Journal of Systems Science Pages: 1627-1640 Issue: 8 Volume: 49 Year: 2018 Month: 6 X-DOI: 10.1080/00207721.2018.1464608 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1464608 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:8:p:1627-1640 Template-Type: ReDIF-Article 1.0 Author-Name: Zhen Zhou Author-X-Name-First: Zhen Author-X-Name-Last: Zhou Author-Name: Hongbin Wang Author-X-Name-First: Hongbin Author-X-Name-Last: Wang Author-Name: Zhongquan Hu Author-X-Name-First: Zhongquan Author-X-Name-Last: Hu Author-Name: Xiaojun Xue Author-X-Name-First: Xiaojun Author-X-Name-Last: Xue Title: Event-triggered finite-time consensus of multiple Euler Lagrange systems under Markovian switching topologies Abstract: Finite-time consensus problem for multiple Euler Lagrange systems under Markovian switching topologies is investigated through an event-triggered control protocol. First, instead of the general stochastic topology, the graph of the entire system is governed by some Markov chains to the edge set, which can recover the traditional Markovian switching topologies in line with the practical communication environment. Then, by utilising an integral sliding-mode control strategy, rigorous analysis of finite-time consensus is performed through the graph theory and Lyapunov stability theory. An event-triggered communication law is delicately carried out for each agent, and Zeno behaviour of triggering time sequences is excluded absolutely. Finally, several simulation results on six two-link manipulators are given to verify the effectiveness of the designed control strategy. Journal: International Journal of Systems Science Pages: 1641-1653 Issue: 8 Volume: 49 Year: 2018 Month: 6 X-DOI: 10.1080/00207721.2018.1464609 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1464609 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:8:p:1641-1653 Template-Type: ReDIF-Article 1.0 Author-Name: Kaddour Gherfi Author-X-Name-First: Kaddour Author-X-Name-Last: Gherfi Author-Name: Abdelfatah Charef Author-X-Name-First: Abdelfatah Author-X-Name-Last: Charef Author-Name: Hadj Ahmed Abbassi Author-X-Name-First: Hadj Ahmed Author-X-Name-Last: Abbassi Title: Proportional integral-fractional filter controller design for first order lag plus time delay system Abstract: In this work, a design approach of proportional integral-fractional filter (PI-FF) controller for first order plus time delay (FOPTD) system is proposed in order to enhance the feedback control system performances characteristics. The controller design method is drawn up such that the transfer function of the overall closed-loop system is equivalent to the transfer function of the general fractional Bagley–Torvik reference model whose behaviour ranges from relaxation to oscillation for different values of the fractional order derivative and the damping ratio-like parameter. The tuning parameters of the PI-FF controller are derived analytically from the FOPTD process model and the general fractional Bagley–Torvik reference model parameters. Illustrative examples were presented to test the effectiveness and the usefulness of the proposed PI-FF controller on the feedback control system performance characteristics enhancement. Journal: International Journal of Systems Science Pages: 1654-1673 Issue: 8 Volume: 49 Year: 2018 Month: 6 X-DOI: 10.1080/00207721.2018.1478013 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1478013 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:8:p:1654-1673 Template-Type: ReDIF-Article 1.0 Author-Name: Tito L. M. Santos Author-X-Name-First: Tito L. M. Author-X-Name-Last: Santos Title: Modified reference tracking MPC for constrained linear systems Abstract: This article presents a model predictive control for tracking piecewise constant references with a new steady-state parametrisation. The modified algorithm is based on the artificial reference idea, but the number of decision variables is equal to the standard MPC for regulation. The proposed strategy is able to track admissible constant references with an admissible evolution. If the reference is not admissible, the system is steered to the closest admissible stationary point. A modified initialisation algorithm is proposed to recover the enlarged domain of attraction provided by related artificial reference-based strategies. Simulation examples are presented to illustrate the benefits of the proposed strategy. Journal: International Journal of Systems Science Pages: 1674-1684 Issue: 8 Volume: 49 Year: 2018 Month: 6 X-DOI: 10.1080/00207721.2018.1478014 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1478014 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:8:p:1674-1684 Template-Type: ReDIF-Article 1.0 Author-Name: Shuangyun Xing Author-X-Name-First: Shuangyun Author-X-Name-Last: Xing Author-Name: Feiqi Deng Author-X-Name-First: Feiqi Author-X-Name-Last: Deng Author-Name: Ting Hou Author-X-Name-First: Ting Author-X-Name-Last: Hou Title: Delay-dependent H∞ filtering for singular Markov jump systems with Wiener process and generally uncertain transition rates Abstract: This paper is devoted to the investigation of the delay-dependent $ \mathrm {H}_{\infty } $ H∞ filtering problem for a class of continuous-time singular Markov jump systems with Wiener process and generally uncertain transition rates (GUTRs). In the GUTR stochastic singular model under consideration, based on an auxiliary vector function, by employing an integral inequality and some appropriate free-weighting matrices, the delay-dependent sufficient conditions are derived, which ensure that the filtering error system is stochastically admissible. And then, a singular filter is designed such that the filtering error system is not only regular, impulse-free and stochastically stable, but also satisfies a prescribed $ \mathrm {H}_{\infty } $ H∞ performance for all time-varying delays no larger than a given upper bound. Furthermore, the solvability conditions of the $ \mathrm {H}_{\infty } $ H∞ filtering problem are deduced in terms of a new type of candidate Lyapunov–Krasovskii function and a set of matrix inequalities. Finally, simulation examples are performed to validate the proposed method in this paper. Journal: International Journal of Systems Science Pages: 1685-1702 Issue: 8 Volume: 49 Year: 2018 Month: 6 X-DOI: 10.1080/00207721.2018.1478015 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1478015 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:8:p:1685-1702 Template-Type: ReDIF-Article 1.0 Author-Name: Qing Geng Author-X-Name-First: Qing Author-X-Name-Last: Geng Author-Name: Fucai Liu Author-X-Name-First: Fucai Author-X-Name-Last: Liu Author-Name: Hongjiu Yang Author-X-Name-First: Hongjiu Author-X-Name-Last: Yang Title: Self-triggered sampling control for networked control systems with delays and packets dropout Abstract: In this paper, a self-triggered sampling (STS) scheme is proposed for a networked control system with delays and packets dropout. Sampling periods are given based on a probability of successful transmission for packets by signal-to-interference-and-noise ratio measured via quality-of-service. The networked control system is described as a switched delta operator system by the STS scheme. Sufficient conditions of stability for the network control system with delays and packets dropout are given with average dwell time in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness and potential for the developed techniques. Journal: International Journal of Systems Science Pages: 1703-1714 Issue: 8 Volume: 49 Year: 2018 Month: 6 X-DOI: 10.1080/00207721.2018.1478016 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1478016 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:8:p:1703-1714 Template-Type: ReDIF-Article 1.0 Author-Name: Yanliang Cui Author-X-Name-First: Yanliang Author-X-Name-Last: Cui Author-Name: Lanlan Xu Author-X-Name-First: Lanlan Author-X-Name-Last: Xu Title: Event-triggered average dwell time control for switched uncertain linear systems with actuator saturation Abstract: This paper investigates an event-triggered average dwell time (ADT) control method for switched systems with dynamic uncertainty and actuator saturation. An event-trigger is employed and only few necessary data are authorised to be transmitted to the controller by the event-trigger when its threshold is violated. Since the time-intervals of system switching signal and data releasing time-intervals of the event-trigger share common time-sequence yet not inter-influenced, an ADT control law is proposed for guaranteeing system exponential stability; meanwhile, the actuator saturation limitation is also considered. More significantly, a minimal data releasing time-interval of the event-trigger is given and it has been proved that the event-trigger cannot be violated during that time-interval. Numerical example is provided to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1715-1724 Issue: 8 Volume: 49 Year: 2018 Month: 6 X-DOI: 10.1080/00207721.2018.1478466 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1478466 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:8:p:1715-1724 Template-Type: ReDIF-Article 1.0 Author-Name: Wei Zhang Author-X-Name-First: Wei Author-X-Name-Last: Zhang Author-Name: Yagang Wang Author-X-Name-First: Yagang Author-X-Name-Last: Wang Author-Name: Zhong Yin Author-X-Name-First: Zhong Author-X-Name-Last: Yin Author-Name: Yongxiong Wang Author-X-Name-First: Yongxiong Author-X-Name-Last: Wang Author-Name: Weidong Zhang Author-X-Name-First: Weidong Author-X-Name-Last: Zhang Title: Optimal control of non-minimum phase integrating processes with time delay using disturbance observer-based control scheme Abstract: A systematical design method of optimal control for non-minimum phase integrating processes with time delay using disturbance observer-based (DOB) control scheme is presented. All stabilising controllers and the filter of DOBs for integrating plants are developed. Then the optimal set-point tracking controller and the optimal filter of DOB are systematically derived by minimising the H2 norm performance specifications. The proposed design method has three main advantages. First, the design procedure is systematical and simple. Specified weight functions are chosen for step inputs and inputs similar to steps. The designed set-point tracking controller and the filter of DOB are given in analytical forms. Second, the designed set-point tracking controller and the filter of the DOB are optimal. They are derived from minimising the performance indexes of set-point tracking and input load disturbance rejection (ILDR). Finally, the set-point tracking performance specification and ILDR specification can be quantitatively achieved by conveniently tuning the adjustable parameters. Numerical simulations are given to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1725-1737 Issue: 8 Volume: 49 Year: 2018 Month: 6 X-DOI: 10.1080/00207721.2018.1479000 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1479000 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:8:p:1725-1737 Template-Type: ReDIF-Article 1.0 Author-Name: Masoud Moravej Khorasani Author-X-Name-First: Masoud Author-X-Name-Last: Moravej Khorasani Author-Name: Mohammad Haeri Author-X-Name-First: Mohammad Author-X-Name-Last: Haeri Title: Identification of EIV models with coloured input–output noise: combining PEM and covariance matching method Abstract: In this paper, a novel identification method for discrete-time linear systems when input–output observations are contaminated by coloured noise (errors-in-variables models) is proposed. To develop the new approach, modified prediction error and covariance matching methods are utilised. It is proved that the proposed approach leads to a consistent estimation. System identification through the proposed approach entails the existence of a flat frequency interval in power spectra of input and ratio of noise-free input to input signals which is a somewhat mild assumption. Two Monte Carlo simulations are provided to explain the efficiency, numerical complexity and the application of the proposed method. Journal: International Journal of Systems Science Pages: 1738-1747 Issue: 8 Volume: 49 Year: 2018 Month: 6 X-DOI: 10.1080/00207721.2018.1479001 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1479001 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:8:p:1738-1747 Template-Type: ReDIF-Article 1.0 Author-Name: Fangfei Cao Author-X-Name-First: Fangfei Author-X-Name-Last: Cao Author-Name: Jinkun Liu Author-X-Name-First: Jinkun Author-X-Name-Last: Liu Title: Adaptive actuator fault compensation control for a rigid-flexible manipulator with ODEs-PDEs model Abstract: In this paper, the actuator fault problem is studied for a two-link rigid-flexible manipulator system in the presence of boundary disturbance and state constraint. The system consists of a rigid beam, a flexible beam and a payload at the end, which are described by hybrid ordinary differential equations–partial differential equations. The novel controller includes a proportional-derivative feedback structure, a disturbance observer and a fault-tolerant algorithm, which can regulate the joint positions and eliminate vibration of flexible beam, on circumstance of boundary disturbance and actuator fault. With the help of Barrier Lyapunov Function, the states will not be violated. It is proved that the closed-loop system has asymptotic stability by LaSalle Invariance Principle. Simulations are provided to demonstrate the effectiveness of the proposed controller. Journal: International Journal of Systems Science Pages: 1748-1759 Issue: 8 Volume: 49 Year: 2018 Month: 6 X-DOI: 10.1080/00207721.2018.1479002 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1479002 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:8:p:1748-1759 Template-Type: ReDIF-Article 1.0 Author-Name: Piyoosh Purushothaman Nair Author-X-Name-First: Piyoosh Author-X-Name-Last: Purushothaman Nair Author-Name: Santosh Biswas Author-X-Name-First: Santosh Author-X-Name-Last: Biswas Author-Name: Arnab Sarkar Author-X-Name-First: Arnab Author-X-Name-Last: Sarkar Title: Design of light weight exact discrete event system diagnosers using measurement limitation: case study of electronic fuel injection system Abstract: Employing a state-based Discrete Event System (DES) modelling framework, this paper proposes a new fault diagnosis approach called measurement limitation-based abstract DES diagnosis (MLAD), which attempts to reduce state space complexity of the diagnosis process while simultaneously preserving full diagnosability. The MLAD approach carefully applies a set of distinct measurement limitation operations on the state variables of the original DES model based on fault compartmentalisation to obtain separate behaviourally abstracted DES models and corresponding abstract diagnosers with far lower state spaces. The set of measurement limitation operations are so designed that although, any single abstract diagnoser may compromise diagnosability in seclusion, the additive combination of all diagnosers running in parallel always ensures complete diagnosability. Effective measurement limitation also ensures that the combined state space of the abstract diagnosers is much lower than that of the single full diagnoser that may be derived from the original DES model. As a case study, we have employed MLAD to incorporate failure diagnosability in a practical electronic fuel injection system. Evaluations on standard practical benchmarks show that MLAD achieves significant reduction in state space as compared to conventional monolithic full diagnosis approaches. Journal: International Journal of Systems Science Pages: 1760-1783 Issue: 8 Volume: 49 Year: 2018 Month: 6 X-DOI: 10.1080/00207721.2018.1479003 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1479003 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:8:p:1760-1783 Template-Type: ReDIF-Article 1.0 Author-Name: Li-Bing Wu Author-X-Name-First: Li-Bing Author-X-Name-Last: Wu Author-Name: Xi-Qin He Author-X-Name-First: Xi-Qin Author-X-Name-Last: He Author-Name: Da-Qing Zhang Author-X-Name-First: Da-Qing Author-X-Name-Last: Zhang Author-Name: Hong-Wei Jia Author-X-Name-First: Hong-Wei Author-X-Name-Last: Jia Title: Adaptive $ H_{\infty } $ H∞ fault-tolerant control for a class of uncertain switched nonlinear systems with multiple state time delays Abstract: This paper studies the adaptive $ H_{\infty } $ H∞ fault-tolerant control problem for a class of uncertain switched nonlinear time-delayed systems with mismatching parameter uncertainties, nonlinear functions, external disturbances and actuator failures. By using the estimations of the unknown upper bounds of uncertain parameters, the novel adaptive laws based on state-dependent switching strategy are constructed, and then the effects of multiple state time delays and actuator failures can be eliminated. Moreover, by using the robust $ H_{\infty } $ H∞ technique and multiple Lyapunov functions method, the designed controller can guarantee the asymptotic stability and the desired $ H_{\infty } $ H∞ performances of the switched closed-loop systems in the presence of parameter uncertainties and time-delayed perturbation simultaneously. Finally, simulation results are provided to show the efficiency of the proposed robust adaptive control scheme. Journal: International Journal of Systems Science Pages: 1784-1794 Issue: 8 Volume: 49 Year: 2018 Month: 6 X-DOI: 10.1080/00207721.2018.1479004 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1479004 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:8:p:1784-1794 Template-Type: ReDIF-Article 1.0 Author-Name: Ke Shi Author-X-Name-First: Ke Author-X-Name-Last: Shi Author-Name: Xiaofang Yuan Author-X-Name-First: Xiaofang Author-X-Name-Last: Yuan Author-Name: Guoming Huang Author-X-Name-First: Guoming Author-X-Name-Last: Huang Author-Name: Qian He Author-X-Name-First: Qian Author-X-Name-Last: He Title: MPC-based compensation control system for the yaw stability of distributed drive electric vehicle Abstract: Conventional yaw stability strategy of distributed drive electric vehicle (DDEV) is usually realised by torque distribution strategy. However, the instantaneous variations of four independent tyres slip ratio and the effect of disturbance have not been considered sufficiently. Therefore, it is difficult to realise the robustness of yaw stability for DDEV under various operating conditions. To solve this problem, a novel model predictive controller-based compensation control system (MPC-CCS) is proposed in this paper. The proposed MPC-CCS consists of two parts, an MPC based-feedback controller and a Kalman filter based-feedforward controller. In the feedback controller, a dual torque distribution scheme is adopted to obtain optimal torque values derived from the real-time signals of four independent tyres slip ratio, an MPC is designed to realise optimal torque values for vehicle yaw motion. In the feedforward controller, a Kalman filter is employed to attenuate the effect of the disturbance on yaw performance. In this way, the robustness of yaw stability for DDEV can be guaranteed by the proposed MPC-CCS. The proposed MPC-CCS is evaluated on eight degrees of freedom simulation platform and simulation results of different conditions show the effectiveness of the MPC-CCS. Journal: International Journal of Systems Science Pages: 1795-1808 Issue: 8 Volume: 49 Year: 2018 Month: 6 X-DOI: 10.1080/00207721.2018.1479005 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1479005 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:8:p:1795-1808 Template-Type: ReDIF-Article 1.0 Author-Name: Mohammad Mahdi Azimi Author-X-Name-First: Mohammad Mahdi Author-X-Name-Last: Azimi Author-Name: Ali A. Afzalian Author-X-Name-First: Ali A. Author-X-Name-Last: Afzalian Author-Name: Reza Ghaderi Author-X-Name-First: Reza Author-X-Name-Last: Ghaderi Title: Robust decentralised state feedback control design for large-scale networked control system Abstract: This paper deals with $ H_{\infty } $ H∞ robust decentralised feedback control for large-scale networked control systems (NCSs). A NCS model is extended to a class of large-scale system. Less conservative sufficient conditions are formulated in the form of a nonconvex matrix inequality, of which a feasible solution can be obtained by solving an optimisation problem in terms of linear matrix inequalities. The sufficient conditions are constructed by a set of new Lyapunov–Krasovskii functionals, which are based mainly on the lower and upper bounds of delay and packet loss. An explicit expression for the desired robust decentralised state feedback control law is also given. In order to verify the proposed method, it is applied to a numerical example and the load frequency problem in a multi-area power system. The simulation results show good performance and more robust stability against digital network communications delays, packet loss and external disturbances. Journal: International Journal of Systems Science Pages: 1809-1820 Issue: 8 Volume: 49 Year: 2018 Month: 6 X-DOI: 10.1080/00207721.2018.1479459 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1479459 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:8:p:1809-1820 Template-Type: ReDIF-Article 1.0 Author-Name: Davood Mohammaditabar Author-X-Name-First: Davood Author-X-Name-Last: Mohammaditabar Author-Name: Seyed Hassan Ghodsypour Author-X-Name-First: Seyed Hassan Author-X-Name-Last: Ghodsypour Title: A supplier-selection model with classification and joint replenishment of inventory items Abstract: Since inventory costs are closely related to suppliers, many models in the literature have selected the suppliers and also allocated orders, simultaneously. Such models usually consider either a single inventory item or multiple inventory items which have independent holding and ordering costs. However, in practice, ordering multiple items from the same supplier leads to a reduction in ordering costs. This paper presents a model in capacity-constrained supplier-selection and order-allocation problem, which considers the joint replenishment of inventory items with a direct grouping approach. In such supplier-selection problems, the following items are considered: a fixed major ordering cost to each supplier, which is independent from the items in the order; a minor ordering cost for each item ordered to each supplier; and the inventory holding and purchasing costs. To solve the developed NP-hard problem, a simulated annealing algorithm was proposed and then compared to a modified genetic algorithm of the literature. The numerical example represented that the number of groups and selected suppliers were reduced when the major ordering cost increased in comparison to other costs. There were also more savings when the number of groups was determined by the model in comparison to predetermined number of groups or no grouping scenarios. Journal: International Journal of Systems Science Pages: 1745-1754 Issue: 8 Volume: 47 Year: 2016 Month: 6 X-DOI: 10.1080/00207721.2014.951418 File-URL: http://hdl.handle.net/10.1080/00207721.2014.951418 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1745-1754 Template-Type: ReDIF-Article 1.0 Author-Name: Luis Orihuela Author-X-Name-First: Luis Author-X-Name-Last: Orihuela Author-Name: Pablo Millán Author-X-Name-First: Pablo Author-X-Name-Last: Millán Author-Name: Carlos Vivas Author-X-Name-First: Carlos Author-X-Name-Last: Vivas Author-Name: Francisco R. Rubio Author-X-Name-First: Francisco R. Author-X-Name-Last: Rubio Title: Suboptimal distributed control and estimation: application to a four coupled tanks system Abstract: The paper proposes an innovative estimation and control scheme that enables the distributed monitoring and control of large-scale processes. The proposed approach considers a discrete linear time-invariant process controlled by a network of agents that may both collect information about the evolution of the plant and apply control actions to drive its behaviour. The problem makes full sense when local observability/controllability is not assumed and the communication between agents can be exploited to reach system-wide goals. Additionally, to reduce agents bandwidth requirements and power consumption, an event-based communication policy is studied. The design procedure guarantees system stability, allowing the designer to trade-off performance, control effort and communication requirements. The obtained controllers and observers are implemented in a fully distributed fashion. To illustrate the performance of the proposed technique, experimental results on a quadruple-tank process are provided. Journal: International Journal of Systems Science Pages: 1755-1771 Issue: 8 Volume: 47 Year: 2016 Month: 6 X-DOI: 10.1080/00207721.2014.951419 File-URL: http://hdl.handle.net/10.1080/00207721.2014.951419 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1755-1771 Template-Type: ReDIF-Article 1.0 Author-Name: B. Labibi Author-X-Name-First: B. Author-X-Name-Last: Labibi Author-Name: S.M. Mahdi Alavi Author-X-Name-First: S.M. Mahdi Author-X-Name-Last: Alavi Title: Inversion-free decentralised quantitative feedback design of large-scale systems Abstract: In this paper, a new method for robust decentralised control of multi-input multi-output (MIMO) systems using quantitative feedback theory (QFT) is suggested. The proposed method does not need inversion of the plant transfer function matrix in the design process. For a given system, an equivalent descriptor system representation is defined. By using this representation, sufficient conditions for closed-loop diagonal dominance over the uncertainty space are obtained. These conditions transform the original MIMO system into a set of isolated multi-input single-output (MISO) subsystems. Then, the local controllers are designed by using the typical MISO QFT technique for each isolated subsystem to satisfy the predefined desired specifications and the closed-loop diagonal dominance sufficient conditions. The proposed technique is less conservative in comparison to the approaches using the over-bounding concept in the design procedure. The effectiveness of the proposed technique is finally assessed on a MIMO Scara robot. Journal: International Journal of Systems Science Pages: 1772-1782 Issue: 8 Volume: 47 Year: 2016 Month: 6 X-DOI: 10.1080/00207721.2014.951523 File-URL: http://hdl.handle.net/10.1080/00207721.2014.951523 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1772-1782 Template-Type: ReDIF-Article 1.0 Author-Name: S. Elloumi Author-X-Name-First: S. Author-X-Name-Last: Elloumi Author-Name: M.M. Belhouane Author-X-Name-First: M.M. Author-X-Name-Last: Belhouane Author-Name: N. Benhadj Braiek Author-X-Name-First: N. Benhadj Author-X-Name-Last: Braiek Title: Observer-based controller for nonlinear analytical systems Abstract: In this paper, we propose to design a polynomial observer-based control for nonlinear systems and to determine sufficient linear matrix inequality (LMI) global stabilisation conditions of the polynomial controlled system augmented by its observer. The design of the observer-based control leverages some notations from the Kronecker product and the power of matrices properties for the state space description of polynomial systems. The stability study of the polynomial controlled system augmented by its observer is based on the Lyapunov stability direct method. Intensive simulations are performed to illustrate the validity and the effectiveness of the polynomial approach used to design the control. Journal: International Journal of Systems Science Pages: 1783-1790 Issue: 8 Volume: 47 Year: 2016 Month: 6 X-DOI: 10.1080/00207721.2014.951715 File-URL: http://hdl.handle.net/10.1080/00207721.2014.951715 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1783-1790 Template-Type: ReDIF-Article 1.0 Author-Name: Guoliang Zhao Author-X-Name-First: Guoliang Author-X-Name-Last: Zhao Author-Name: Hongxing Li Author-X-Name-First: Hongxing Author-X-Name-Last: Li Author-Name: Zhankui Song Author-X-Name-First: Zhankui Author-X-Name-Last: Song Title: Tensor product model transformation based decoupled terminal sliding mode control Abstract: The main objective of this paper is to propose a tensor product model transformation based decoupled terminal sliding mode controller design methodology. The methodology is divided into two steps. In the first step, tensor product model transformation is applied to the single-input-multi-output system and a parameter-varying weighted linear time-invariant system is obtained. Then, decoupled terminal sliding mode controller is designed based on the linear time-invariant systems. The main novelty of this paper is that the nonsingular terminal sliding mode control design is based on a numerical model rather than an analytical one. Finally, simulations are tested on cart-pole system and translational oscillations with a rotational actuator system. Journal: International Journal of Systems Science Pages: 1791-1803 Issue: 8 Volume: 47 Year: 2016 Month: 6 X-DOI: 10.1080/00207721.2014.953229 File-URL: http://hdl.handle.net/10.1080/00207721.2014.953229 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1791-1803 Template-Type: ReDIF-Article 1.0 Author-Name: H.P. Wang Author-X-Name-First: H.P. Author-X-Name-Last: Wang Author-Name: Y. Tian Author-X-Name-First: Y. Author-X-Name-Last: Tian Author-Name: N. Christov Author-X-Name-First: N. Author-X-Name-Last: Christov Title: Piecewise-continuous observers for linear systems with sampled and delayed output Abstract: The paper presents a new class of state observers for linear systems with sampled and delayed output measurements. These observers are derived using the theory of a particular class of hybrid systems called piecewise-continuous systems, and can be easily implemented. The performances of the piecewise-continuous observers are compared with the performances of state observers designed using the Lyapunov–Krasovskii techniques. A piecewise-continuous observer is designed and implemented to an experimental visual servoing platform. Journal: International Journal of Systems Science Pages: 1804-1815 Issue: 8 Volume: 47 Year: 2016 Month: 6 X-DOI: 10.1080/00207721.2014.953798 File-URL: http://hdl.handle.net/10.1080/00207721.2014.953798 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1804-1815 Template-Type: ReDIF-Article 1.0 Author-Name: J.P. Maree Author-X-Name-First: J.P. Author-X-Name-Last: Maree Author-Name: L. Imsland Author-X-Name-First: L. Author-X-Name-Last: Imsland Author-Name: J. Jouffroy Author-X-Name-First: J. Author-X-Name-Last: Jouffroy Title: On convergence of the unscented Kalman–Bucy filter using contraction theory Abstract: Contraction theory entails a theoretical framework in which convergence of a nonlinear system can be analysed differentially in an appropriate contraction metric. This paper is concerned with utilising stochastic contraction theory to conclude on exponential convergence of the unscented Kalman–Bucy filter. The underlying process and measurement models of interest are Itô-type stochastic differential equations. In particular, statistical linearisation techniques are employed in a virtual–actual systems framework to establish deterministic contraction of the estimated expected mean of process values. Under mild conditions of bounded process noise, we extend the results on deterministic contraction to stochastic contraction of the estimated expected mean of the process state. It follows that for the regions of contraction, a result on convergence, and thereby incremental stability, is concluded for the unscented Kalman–Bucy filter. The theoretical concepts are illustrated in two case studies. Journal: International Journal of Systems Science Pages: 1816-1827 Issue: 8 Volume: 47 Year: 2016 Month: 6 X-DOI: 10.1080/00207721.2014.953799 File-URL: http://hdl.handle.net/10.1080/00207721.2014.953799 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1816-1827 Template-Type: ReDIF-Article 1.0 Author-Name: Jonas C.P. Yu Author-X-Name-First: Jonas C.P. Author-X-Name-Last: Yu Author-Name: H.M. Wee Author-X-Name-First: H.M. Author-X-Name-Last: Wee Author-Name: P.C. Yang Author-X-Name-First: P.C. Author-X-Name-Last: Yang Author-Name: Simon Wu Author-X-Name-First: Simon Author-X-Name-Last: Wu Title: Suboptimal and optimal order policies for fixed and varying replenishment interval with declining market Abstract: One of the supply chain risks for hi-tech products is the result of rapid technological innovation; it results in a significant decline in the selling price and demand after the initial launch period. Hi-tech products include computers and communication consumer's products. From a practical standpoint, a more realistic replenishment policy is needed to consider the impact of risks; especially when some portions of shortages are lost. In this paper, suboptimal and optimal order policies with partial backordering are developed for a buyer when the component cost, the selling price, and the demand rate decline at a continuous rate. Two mathematical models are derived and discussed: one model has the suboptimal solution with the fixed replenishment interval and a simpler computational process; the other one has the optimal solution with the varying replenishment interval and a more complicated computational process. The second model results in more profit. Numerical examples are provided to illustrate the two replenishment models. Sensitivity analysis is carried out to investigate the relationship between the parameters and the net profit. Journal: International Journal of Systems Science Pages: 1828-1836 Issue: 8 Volume: 47 Year: 2016 Month: 6 X-DOI: 10.1080/00207721.2014.955069 File-URL: http://hdl.handle.net/10.1080/00207721.2014.955069 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1828-1836 Template-Type: ReDIF-Article 1.0 Author-Name: Pedro Batista Author-X-Name-First: Pedro Author-X-Name-Last: Batista Author-Name: Carlos Silvestre Author-X-Name-First: Carlos Author-X-Name-Last: Silvestre Author-Name: Paulo Oliveira Author-X-Name-First: Paulo Author-X-Name-Last: Oliveira Title: Tightly coupled long baseline/ultra-short baseline integrated navigation system Abstract: This paper proposes a novel integrated navigation filter based on a combined long baseline/ultra short baseline acoustic positioning system with application to underwater vehicles. With a tightly coupled structure, the position, linear velocity, attitude, and rate gyro bias are estimated, considering the full nonlinear system dynamics without resorting to any algebraic inversion or linearisation techniques. The resulting solution ensures convergence of the estimation error to zero for all initial conditions, exponentially fast. Finally, it is shown, under simulation environment, that the filter achieves very good performance in the presence of sensor noise. Journal: International Journal of Systems Science Pages: 1837-1855 Issue: 8 Volume: 47 Year: 2016 Month: 6 X-DOI: 10.1080/00207721.2014.955070 File-URL: http://hdl.handle.net/10.1080/00207721.2014.955070 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1837-1855 Template-Type: ReDIF-Article 1.0 Author-Name: Guoguang Wen Author-X-Name-First: Guoguang Author-X-Name-Last: Wen Author-Name: Yongguang Yu Author-X-Name-First: Yongguang Author-X-Name-Last: Yu Author-Name: Zhaoxia Peng Author-X-Name-First: Zhaoxia Author-X-Name-Last: Peng Author-Name: Ahmed Rahmani Author-X-Name-First: Ahmed Author-X-Name-Last: Rahmani Title: Distributed finite-time consensus tracking for nonlinear multi-agent systems with a time-varying reference state Abstract: This paper investigates the consensus tracking problem for nonlinear multi-agent systems with a time-varying reference state. The consensus reference is taken as a virtual leader, whose output is only its position information that is available to only a subset of a group of followers. The dynamics of each follower consists of two terms: nonlinear inherent dynamics and a simple communication protocol relying only on the position of its neighbours. In this paper, the consensus tracking problem is respectively considered under fixed and switching communication topologies. Some corresponding sufficient conditions are obtained to guarantee the states of followers can converge to the state of the virtual leader in finite time. Rigorous proofs are given by using graph theory, matrix theory, and Lyapunov theory. Simulations are presented to illustrate the theoretical analysis. Journal: International Journal of Systems Science Pages: 1856-1867 Issue: 8 Volume: 47 Year: 2016 Month: 6 X-DOI: 10.1080/00207721.2014.955279 File-URL: http://hdl.handle.net/10.1080/00207721.2014.955279 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1856-1867 Template-Type: ReDIF-Article 1.0 Author-Name: Min Gan Author-X-Name-First: Min Author-X-Name-Last: Gan Author-Name: C.L. Philip Chen Author-X-Name-First: C.L. Author-X-Name-Last: Philip Chen Author-Name: Long Chen Author-X-Name-First: Long Author-X-Name-Last: Chen Author-Name: Chun-Yang Zhang Author-X-Name-First: Chun-Yang Author-X-Name-Last: Zhang Title: Exploiting the interpretability and forecasting ability of the RBF-AR model for nonlinear time series Abstract: In this paper, we explore the radial basis function network-based state-dependent autoregressive (RBF-AR) model by modelling and forecasting an ecological time series: the famous Canadian lynx data. The interpretability of the state-dependent coefficients of the RBF-AR model is studied. It is found that the RBF-AR model can account for the phenomena of phase and density dependencies in the Canadian lynx cycle. The post-sample forecasting performance of one-step and two-step ahead predictors of the RBF-AR model is compared with that of other competitive time-series models including various parametric and non-parametric models. The results show the usefulness of the RBF-AR model in this ecological time-series modelling. Journal: International Journal of Systems Science Pages: 1868-1876 Issue: 8 Volume: 47 Year: 2016 Month: 6 X-DOI: 10.1080/00207721.2014.955552 File-URL: http://hdl.handle.net/10.1080/00207721.2014.955552 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1868-1876 Template-Type: ReDIF-Article 1.0 Author-Name: Wenjie Dong Author-X-Name-First: Wenjie Author-X-Name-Last: Dong Author-Name: Vladimir Djapic Author-X-Name-First: Vladimir Author-X-Name-Last: Djapic Title: Leader-following control of multiple nonholonomic systems over directed communication graphs Abstract: This paper considers the leader-following control problem of multiple nonlinear systems with directed communication topology and a leader. If the state of each system is measurable, distributed state feedback controllers are proposed using neighbours’ state information with the aid of Lyapunov techniques and properties of Laplacian matrix for time-invariant communication graph and time-varying communication graph. It is shown that the state of each system exponentially converges to the state of a leader. If the state of each system is not measurable, distributed observer-based output feedback control laws are proposed. As an application of the proposed results, formation control of wheeled mobile robots is studied. The simulation results show the effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 1877-1890 Issue: 8 Volume: 47 Year: 2016 Month: 6 X-DOI: 10.1080/00207721.2014.955553 File-URL: http://hdl.handle.net/10.1080/00207721.2014.955553 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1877-1890 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaole Xu Author-X-Name-First: Xiaole Author-X-Name-Last: Xu Author-Name: Lixin Gao Author-X-Name-First: Lixin Author-X-Name-Last: Gao Title: Intermittent observer-based consensus control for multi-agent systems with switching topologies Abstract: In this paper, we focus on the consensus problem for leaderless and leader–followers multi-agent systems with periodically intermittent control. The dynamics of each agent in the system is a linear system, and the interconnection topology among the agents is assumed to be switching. We assume that each agent can only share the outputs with its neighbours. Therefore, a class of distributed intermittent observer-based consensus protocols are proposed for each agent. First, in order to solve this problem, a parameter-dependent common Lyapunov function is constructed. Using this function, we prove that all agents can access a prescribed value, under the designed intermittent controller and observer, if there are suitable conditions on communication. Second, based on the investigation of the leader-following consensus problem, we design a new distributed intermittent observer-based protocol for each following agent. Finally, we provide an illustrative example to verify the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 1891-1904 Issue: 8 Volume: 47 Year: 2016 Month: 6 X-DOI: 10.1080/00207721.2014.958119 File-URL: http://hdl.handle.net/10.1080/00207721.2014.958119 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1891-1904 Template-Type: ReDIF-Article 1.0 Author-Name: Daniel Melchor-Aguilar Author-X-Name-First: Daniel Author-X-Name-Last: Melchor-Aguilar Title: New results on robust exponential stability of integral delay systems Abstract: The robust exponential stability of integral delay systems with exponential kernels is investigated. Sufficient delay-dependent robust conditions expressed in terms of linear matrix inequalities and matrix norms are derived by using the Lyapunov–Krasovskii functional approach. The results are combined with a new result on quadratic stabilisability of the state-feedback synthesis problem in order to derive a new linear matrix inequality methodology of designing a robust non-fragile controller for the finite spectrum assignment of input delay systems that guarantees simultaneously a numerically safe implementation and also the robustness to uncertainty in the system matrices and to perturbation in the feedback gain. Journal: International Journal of Systems Science Pages: 1905-1916 Issue: 8 Volume: 47 Year: 2016 Month: 6 X-DOI: 10.1080/00207721.2014.958205 File-URL: http://hdl.handle.net/10.1080/00207721.2014.958205 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1905-1916 Template-Type: ReDIF-Article 1.0 Author-Name: Chih-Peng Huang Author-X-Name-First: Chih-Peng Author-X-Name-Last: Huang Title: Specific stability region analysis for uncertain fuzzy descriptor systems with multiple derivative matrices Abstract: This paper addresses the specific stability region for uncertain fuzzy descriptor systems with distinct derivative matrices in the rules. First, an equivalent poles’ location criterion for the nominal descriptor system is originally derived and expressed as one compact form of strict and complex linear matrix inequality (LMI). Then, the result can be extended to cope with the specific stability region for the uncertain fuzzy descriptor systems with integrating multiple derivative matrices. Moreover, since the presented criteria involve complex LMIs, we appropriately conduct a projection scheme, where current LMI tools cannot evaluate them. By deriving useful projection operators onto the formed convex sets, an analysing algorithm is consequently presented for numerical evaluation. Finally, three numerical examples, two nonlinear systems and a physical circuit system, are given to demonstrate the validity and the practicability of the proposed approach. Journal: International Journal of Systems Science Pages: 1917-1930 Issue: 8 Volume: 47 Year: 2016 Month: 6 X-DOI: 10.1080/00207721.2014.960501 File-URL: http://hdl.handle.net/10.1080/00207721.2014.960501 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1917-1930 Template-Type: ReDIF-Article 1.0 Author-Name: Lin Zhao Author-X-Name-First: Lin Author-X-Name-Last: Zhao Author-Name: Yingmin Jia Author-X-Name-First: Yingmin Author-X-Name-Last: Jia Title: Neural network-based adaptive consensus tracking control for multi-agent systems under actuator faults Abstract: In this paper, a distributed output feedback consensus tracking control scheme is proposed for second-order multi-agent systems in the presence of uncertain nonlinear dynamics, external disturbances, input constraints, and partial loss of control effectiveness. The proposed controllers incorporate reduced-order filters to account for the unmeasured states, and the neural networks technique is implemented to approximate the uncertain nonlinear dynamics in the synthesis of control algorithms. In order to compensate the partial loss of actuator effectiveness faults, fault-tolerant parts are included in controllers. Using the Lyapunov approach and graph theory, it is proved that the controllers guarantee a group of agents that simultaneously track a common time-varying state of leader, even when the state of leader is available only to a subset of the members of a group. Simulation results are provided to demonstrate the effectiveness of the proposed consensus tracking method. Journal: International Journal of Systems Science Pages: 1931-1942 Issue: 8 Volume: 47 Year: 2016 Month: 6 X-DOI: 10.1080/00207721.2014.960906 File-URL: http://hdl.handle.net/10.1080/00207721.2014.960906 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1931-1942 Template-Type: ReDIF-Article 1.0 Author-Name: Makiko Okamoto Author-X-Name-First: Makiko Author-X-Name-Last: Okamoto Author-Name: Maruthi R. Akella Author-X-Name-First: Maruthi R. Author-X-Name-Last: Akella Title: Avoiding the local-minimum problem in multi-agent systems with limited sensing and communication Abstract: In this paper, we consider a control problem for nonholonomic multi-agent systems in which agents and obstacles operate within a circular-shaped work area. We assume that agents only have limited sensing and communication ranges. We propose a novel control scheme using potential functions that drives agents from the initial to the goal configuration while avoiding collision with other agents, obstacles, and the boundary of the work area. The control scheme employs an avoidance strategy that ensures that the agents are never trapped at local minima that are typically encountered with most potential function-based approaches. A numerical simulation is presented to demonstrate the validity and effectiveness of the proposed control scheme. Journal: International Journal of Systems Science Pages: 1943-1952 Issue: 8 Volume: 47 Year: 2016 Month: 6 X-DOI: 10.1080/00207721.2014.965239 File-URL: http://hdl.handle.net/10.1080/00207721.2014.965239 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1943-1952 Template-Type: ReDIF-Article 1.0 Author-Name: Mohd Kamarul Irwan Abdul Rahim Author-X-Name-First: Mohd Kamarul Irwan Abdul Author-X-Name-Last: Rahim Author-Name: El-Houssaine Aghezzaf Author-X-Name-First: El-Houssaine Author-X-Name-Last: Aghezzaf Author-Name: Veronique Limère Author-X-Name-First: Veronique Author-X-Name-Last: Limère Author-Name: Birger Raa Author-X-Name-First: Birger Author-X-Name-Last: Raa Title: Analysing the effectiveness of vendor-managed inventory in a single-warehouse, multiple-retailer system Abstract: This paper considers a two-stage supply chain, consisting of a single warehouse and multiple retailers facing deterministic demands, under a vendor-managed inventory (VMI) policy. It presents a two-phase optimisation approach for coordinating the shipments in this VMI system. The first phase uses direct shipping from the supplier to all retailers to minimise the overall inventory costs. Then, in the second phase, the retailers are clustered using a construction heuristic in order to optimise the transportation costs while satisfying some additional restrictions. The improvement of the system's performance through coordinated VMI replenishments against the system with direct shipping only is shown and discussed in the comparative analysis section. Journal: International Journal of Systems Science Pages: 1953-1965 Issue: 8 Volume: 47 Year: 2016 Month: 6 X-DOI: 10.1080/00207721.2014.965771 File-URL: http://hdl.handle.net/10.1080/00207721.2014.965771 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1953-1965 Template-Type: ReDIF-Article 1.0 Author-Name: Long Cheng Author-X-Name-First: Long Author-X-Name-Last: Cheng Author-Name: Hanlei Wang Author-X-Name-First: Hanlei Author-X-Name-Last: Wang Author-Name: Zeng-Guang Hou Author-X-Name-First: Zeng-Guang Author-X-Name-Last: Hou Author-Name: Min Tan Author-X-Name-First: Min Author-X-Name-Last: Tan Title: Reaching a consensus in networks of high-order integral agents under switching directed topologies Abstract: Consensus problem of high-order integral multi-agent systems under switching directed topology is considered in this study. Depending on whether the agent’s full state is available or not, two distributed protocols are proposed to ensure that states of all agents can be convergent to a same stationary value. In the proposed protocols, the gain vector associated with the agent’s (estimated) state and the gain vector associated with the relative (estimated) states between agents are designed in a sophisticated way. By this particular design, the high-order integral multi-agent system can be transformed into a first-order integral multi-agent system. Also, the convergence of the transformed first-order integral agent’s state indicates the convergence of the original high-order integral agent’s state, if and only if all roots of the polynomial, whose coefficients are the entries of the gain vector associated with the relative (estimated) states between agents, are in the open left-half complex plane. Therefore, many analysis techniques in the first-order integral multi-agent system can be directly borrowed to solve the problems in the high-order integral multi-agent system. Due to this property, it is proved that to reach a consensus, the switching directed topology of multi-agent system is only required to be ‘uniformly jointly quasi-strongly connected’, which seems the mildest connectivity condition in the literature. In addition, the consensus problem of discrete-time high-order integral multi-agent systems is studied. The corresponding consensus protocol and performance analysis are presented. Finally, three simulation examples are provided to show the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 1966-1981 Issue: 8 Volume: 47 Year: 2016 Month: 6 X-DOI: 10.1080/00207721.2014.966281 File-URL: http://hdl.handle.net/10.1080/00207721.2014.966281 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1966-1981 Template-Type: ReDIF-Article 1.0 Author-Name: Yu Ren Author-X-Name-First: Yu Author-X-Name-Last: Ren Author-Name: Zhiguang Feng Author-X-Name-First: Zhiguang Author-X-Name-Last: Feng Author-Name: Guanghui Sun Author-X-Name-First: Guanghui Author-X-Name-Last: Sun Title: Improved stability conditions for uncertain neutral-type systems with time-varying delays Abstract: This paper investigates the robust stability problem for a class of uncertain neutral-type delayed systems. The systems under consideration contain parameter uncertainties and time-varying delays. We aim at designing less conservative robust stability criteria for such systems. A new second-order reciprocally convex inequality is first proposed in order to deal with double integral terms. Then, by constructing a new Lyapunov– Krasovskii functional and employing the improved Wirtinger-based integral inequality and the reciprocally convex combination approaches, novel stability criteria are obtained. Moreover, the stability conditions for standard time-delay system are obtained as by-product results. Comparisons in three numerical examples illustrate the effectiveness of our results. Journal: International Journal of Systems Science Pages: 1982-1993 Issue: 8 Volume: 47 Year: 2016 Month: 6 X-DOI: 10.1080/00207721.2015.1067337 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1067337 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1982-1993 Template-Type: ReDIF-Article 1.0 Author-Name: Editors Title: Corrigendum Abstract: Journal: International Journal of Systems Science Pages: 1994-1994 Issue: 8 Volume: 47 Year: 2016 Month: 6 X-DOI: 10.1080/00207721.2016.1133514 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1133514 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:8:p:1994-1994 Template-Type: ReDIF-Article 1.0 Author-Name: Haichao Hong Author-X-Name-First: Haichao Author-X-Name-Last: Hong Author-Name: Arnab Maity Author-X-Name-First: Arnab Author-X-Name-Last: Maity Author-Name: Florian Holzapfel Author-X-Name-First: Florian Author-X-Name-Last: Holzapfel Author-Name: Shengjing Tang Author-X-Name-First: Shengjing Author-X-Name-Last: Tang Title: Adaptive trajectory generation based on real-time estimated parameters for impaired aircraft landing Abstract: This paper is motivated by a need to address the challenge of securing a safe landing after suffering from inflight impairment. In this paper, a new adaptive generalised model predictive static programming (G-MPSP) is developed to generate a safe emergency landing trajectory for impaired aircraft. Utilising the computationally efficient G-MPSP framework, the proposed algorithm enables adaptation of model parameters based on the prediction errors to ensure reasonable guidance performance. Based on the estimated parameters, a feasible landing trajectory is then generated by the flexible finite-horizon G-MPSP with input constraints. The integrated approach features explicit closed-form solutions for both parameter estimation and trajectory generation. Its effectiveness is demonstrated by simulations in the presence of parameter uncertainties and noises and by comparison studies with the non-adaptive G-MPSP. Journal: International Journal of Systems Science Pages: 2733-2751 Issue: 15 Volume: 50 Year: 2019 Month: 11 X-DOI: 10.1080/00207721.2019.1675099 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1675099 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:15:p:2733-2751 Template-Type: ReDIF-Article 1.0 Author-Name: S. I. Habibi Author-X-Name-First: S. I. Author-X-Name-Last: Habibi Author-Name: A. Khaki-Sedigh Author-X-Name-First: A. Author-X-Name-Last: Khaki-Sedigh Author-Name: M. N. Manzar Author-X-Name-First: M. N. Author-X-Name-Last: Manzar Title: Performance enhancement of unfalsified adaptive control strategy using fuzzy logic Abstract: Unfalsified Adaptive Switching Supervisory Control (UASSC) is a performance-based data-driven methodology to control uncertain systems with the least possible plant assumptions. There are a set of pre-designed controllers in the controller bank, and the goal is to select the best controller at each time instance. The Multi-Model UASSC (MMUASSC) uses the UASSC concept, but it also benefits from a set of pre-specified models in the model bank. This paper introduces a method to improve the performance of the UASSC and MMUASSC by cost function manipulations and fuzzy logic concepts. To achieve this, fuzzy UASSC and fuzzy MMUASSC methods are introduced. In these methods, a time-varying coefficient, which is the output of a fuzzy system, is used along with the conventional cost functions. The input of this fuzzy system is chosen to properly reflect the performance of the corresponding controller in the controller bank. Using this method, the performance of the outside loop controllers is accurately evaluated, and closed-loop stability proof is provided. Also, as the existence of non-minimum phase controllers is problematic, a solution is provided to handle such cases. Finally, simulation results are used to show the effectiveness of the introduced methods. Journal: International Journal of Systems Science Pages: 2752-2763 Issue: 15 Volume: 50 Year: 2019 Month: 11 X-DOI: 10.1080/00207721.2019.1675797 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1675797 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:15:p:2752-2763 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaojie Huang Author-X-Name-First: Xiaojie Author-X-Name-Last: Huang Author-Name: Yuechao Ma Author-X-Name-First: Yuechao Author-X-Name-Last: Ma Title: Improved results on synchronisation of Markovian jump complex dynamical networks via sampled-data controller and convex combination Abstract: This paper investigates the Markovian jump complex dynamical networks via a sampled-data controller and convex combination. Firstly, constructing an improved discontinuous Lyapunov-Krasovskii function (LKF), which is fully considered the characteristics of sampled-data to reduce the conservativeness. Secondly, designing an appropriate sample-data controller and combining some integral inequalities, convex function and free weighting matrices to utilise the upper bound on variable sampling interval and the sawtooth structure information of varying input delay. Then one can obtain the new criterion of sampled-data synchronisation. Finally, giving two examples to prove the effectiveness and superiority of the proposed methods. Obviously, compared with other existing literatures, this paper has less conservative. Journal: International Journal of Systems Science Pages: 2764-2775 Issue: 15 Volume: 50 Year: 2019 Month: 11 X-DOI: 10.1080/00207721.2019.1690069 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1690069 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:15:p:2764-2775 Template-Type: ReDIF-Article 1.0 Author-Name: Zairui Gao Author-X-Name-First: Zairui Author-X-Name-Last: Gao Author-Name: Ziyun Wang Author-X-Name-First: Ziyun Author-X-Name-Last: Wang Author-Name: Dinghui Wu Author-X-Name-First: Dinghui Author-X-Name-Last: Wu Title: Input and output strictly passive H∞ control of discrete-time switched systems Abstract: This paper is concerned with the problem of $H_\infty $H∞ control based on input and output strict passivity for discrete-time switched systems in both linear and nonlinear texts. Firstly, a sufficient condition is derived by using multiple storage functions, Lie derivative and iteration technique, which can guarantee that the discrete-time switched nonlinear system is asymptotically stable and satisfies a prescribed $H_\infty $H∞ performance index. Secondly, the above result is extended to the discrete-time switched linear system based on the linear matrix inequality approach, and each sub-controller with an explicit expression is given. Finally, two numerical examples are given to illustrate the effectiveness and the applicability of the proposed method. Journal: International Journal of Systems Science Pages: 2776-2784 Issue: 15 Volume: 50 Year: 2019 Month: 11 X-DOI: 10.1080/00207721.2019.1690070 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1690070 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:15:p:2776-2784 Template-Type: ReDIF-Article 1.0 Author-Name: Redouane Chaibi Author-X-Name-First: Redouane Author-X-Name-Last: Chaibi Author-Name: Ismail Er Rachid Author-X-Name-First: Ismail Author-X-Name-Last: Er Rachid Author-Name: El Houssaine Tissir Author-X-Name-First: El Houssaine Author-X-Name-Last: Tissir Author-Name: Abdelaziz Hmamed Author-X-Name-First: Abdelaziz Author-X-Name-Last: Hmamed Title: Finite frequency H∞ control for 2-D T-S fuzzy FM II model with stochastic perturbation Abstract: The design of $H_{\infty } $H∞ control for two-dimensional (2-D) Takagi-Sugeno (T-S) fuzzy systems with stochastic perturbation described by the second Fornasini-Marchesini (FM II) model has been solved in this paper. With the aid of the Generalised Kalman Yakubovich-Popov (GKYP) Lemma, sufficient conditions of the existence of the finite frequency (FF) $H_{\infty } $H∞ control are presented, in the form of linear matrix inequalities (LMIs). New conditions guaranteeing finite frequency of the closed-loop systems are further derived to design $H_{\infty } $H∞ fuzzy control, where state-feedback control law is considered. Moreover, the proposed conditions provide less conservative results than those derived from existing ones. Some examples are fully developed to show the applicability of the proposed design approach. Journal: International Journal of Systems Science Pages: 2785-2801 Issue: 15 Volume: 50 Year: 2019 Month: 11 X-DOI: 10.1080/00207721.2019.1690072 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1690072 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:15:p:2785-2801 Template-Type: ReDIF-Article 1.0 Author-Name: Dinh Cong Huong Author-X-Name-First: Dinh Cong Author-X-Name-Last: Huong Title: Design of functional interval observers for nonlinear fractional-order interconnected systems Abstract: In this paper, we address problem of distributed functional interval observers for a class of nonlinear fractional-order interconnected systems with bounded uncertainties. The system under consideration is formed by N ( $N\geq 2 $N≥2) interconnected subsystems. We first design N stand-alone distributed functional interval observers for the system. The designed interval observer for each subsystem is based on the local outputs, known bounds of the local uncertainty and additional outputs from other subsystems but without the need to exchange the state estimates among the observers. Then, conditions for the existence of such distributed functional interval observers are derived and an effective algorithm for computing unknown observer matrices is provided. Finally, two numerical examples and simulation results are given to illustrate the effectiveness of the proposed design method. Journal: International Journal of Systems Science Pages: 2802-2814 Issue: 15 Volume: 50 Year: 2019 Month: 11 X-DOI: 10.1080/00207721.2019.1690715 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1690715 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:15:p:2802-2814 Template-Type: ReDIF-Article 1.0 Author-Name: Van Thanh Huynh Author-X-Name-First: Van Thanh Author-X-Name-Last: Huynh Author-Name: Cuong M. Nguyen Author-X-Name-First: Cuong M. Author-X-Name-Last: Nguyen Author-Name: Hieu Trinh Author-X-Name-First: Hieu Author-X-Name-Last: Trinh Title: Static output feedback control of positive linear systems with output time delays Abstract: In this paper, we discuss a new problem of static output feedback controllers design for positive systems with delayed output measurements. When delayed output measurements are exclusively used as feedback control signals, previous control design methods for positive systems relying on the so-called delay-independent positivity and stability conditions are unable to synthesise a stable static output feedback controller for positive systems. A new method based on delay-dependent positivity and stability conditions is proposed in this paper to tackle this issue. We show that the synthesis of static output feedback controllers for positive systems under the effect of delayed output measurements is feasible under the newly proposed design method. Numerical examples are given to demonstrate the effectiveness of the new result. Journal: International Journal of Systems Science Pages: 2815-2823 Issue: 15 Volume: 50 Year: 2019 Month: 11 X-DOI: 10.1080/00207721.2019.1690716 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1690716 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:15:p:2815-2823 Template-Type: ReDIF-Article 1.0 Author-Name: Dinh Cong Huong Author-X-Name-First: Dinh Cong Author-X-Name-Last: Huong Author-Name: Nguyen Huu Sau Author-X-Name-First: Nguyen Huu Author-X-Name-Last: Sau Title: Finite-time stability and stabilisation of singular discrete-time linear positive systems with time-varying delay Abstract: In this paper, the problem of finite-time stability and stabilisation for positive singular discrete-time linear systems with time-varying delay is investigated. We first present novel delay-dependent sufficient conditions for positivity and finite-time stability of the unforced systems. We then apply the obtained results to solve finite-time stabilisation problem of the considered systems. The sufficient conditions for the positivity and finite-time stabilisable of such systems are formulated in terms of a standard linear programming (LP) problem. Numerical examples are provided to illustrate the effectiveness and advantages of our results. Journal: International Journal of Systems Science Pages: 2824-2837 Issue: 15 Volume: 50 Year: 2019 Month: 11 X-DOI: 10.1080/00207721.2019.1690717 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1690717 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:15:p:2824-2837 Template-Type: ReDIF-Article 1.0 Author-Name: Xin-Xin Han Author-X-Name-First: Xin-Xin Author-X-Name-Last: Han Author-Name: Hai-Yan Yu Author-X-Name-First: Hai-Yan Author-X-Name-Last: Yu Author-Name: Kai-Ning Wu Author-X-Name-First: Kai-Ning Author-X-Name-Last: Wu Title: Finite-time synchronisation control of coupled reaction-diffusion systems Abstract: We consider the finite-time synchronisation for coupled reaction-diffusion systems. At first, we design a pinning control strategy for the coupled systems. For the uncontrolled nodes, we use the adaptive adjustment to the coupling strength. Based on the Poincaré inequality technique and using the finite-time stability lemma, we obtain the sufficient condition to ensure the finite-time synchronisation. Time delay occurs usually in the coupled systems and when there exist time-varying delays in the coupled reaction-diffusion systems, we design a controller to impel the coupled systems to achieve the finite-time synchronisation. Finally, numerical examples are given to illustrate our theoretical results. Journal: International Journal of Systems Science Pages: 2838-2852 Issue: 15 Volume: 50 Year: 2019 Month: 11 X-DOI: 10.1080/00207721.2019.1690718 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1690718 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:15:p:2838-2852 Template-Type: ReDIF-Article 1.0 Author-Name: Ying Zhao Author-X-Name-First: Ying Author-X-Name-Last: Zhao Author-Name: Chunshan Yang Author-X-Name-First: Chunshan Author-X-Name-Last: Yang Title: Information fusion robust guaranteed cost Kalman estimators with uncertain noise variances and missing measurements Abstract: For multisensor systems with uncertain noise variances and missing measurements, it can be converted into one only with uncertain noise variances by introducing fictitious measurement white noises. According to the minimax robust estimation principle and parameterisation representation of perturbances of uncertain noise variances, based on the worst-case system with conservative upper bounds of uncertain noise variances, the two classes of guaranteed cost robust weighted fusion Kalman estimators with matrix weights, diagonal matrix weights, scalar weights, and covariance intersection fusion matrix weights are presented. One class is the construction of a maximal perturbance region of uncertain noise variances, in which for all admissible perturbances, the accuracy deviations are guaranteed to remain within the prescribed range. The other class is the finding of minimal upper bound and maximal lower bound of accuracy deviations over the given perturbance region of uncertain noise variances. Two problems can be converted into the optimisation problems with constraints. Their optimal analytical solutions can simply be found respectively by the Lagrange multiplier method and the linear programme method. The guaranteed cost robustness is proved by the Lyapunov equation approach. A simulation example applied to the mass-spring system is provided to demonstrate the correctness and effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 2853-2869 Issue: 15 Volume: 50 Year: 2019 Month: 11 X-DOI: 10.1080/00207721.2019.1690719 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1690719 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:15:p:2853-2869 Template-Type: ReDIF-Article 1.0 Author-Name: Qinyao Liu Author-X-Name-First: Qinyao Author-X-Name-Last: Liu Author-Name: Feng Ding Author-X-Name-First: Feng Author-X-Name-Last: Ding Author-Name: Quanmin Zhu Author-X-Name-First: Quanmin Author-X-Name-Last: Zhu Author-Name: Tasawar Hayat Author-X-Name-First: Tasawar Author-X-Name-Last: Hayat Title: Two-stage multi-innovation stochastic gradient algorithm for multivariate output-error ARMA systems based on the auxiliary model Abstract: This paper investigates the parameter estimation problem for multivariate output-error systems perturbed by autoregressive moving average noises. Since the identification model has two different kinds of parameters, a vector and a matrix, the gradient algorithm cannot be used directly. Therefore, we decompose the original system model into two sub-models and proceed the identification problem by the collaboration between the two sub-models. By employing the gradient search and determining the optimal step-sizes, we present an auxiliary model based two-stage projection algorithm. However, in order to alleviate the sensitivity to the noise, we reselect the step-sizes and derive the auxiliary model based two-stage stochastic gradient (AM-2S-SG) algorithm. Based on the AM-2S-SG algorithm, an auxiliary model based two-stage multi-innovation stochastic gradient algorithm is proposed to generate more accurate estimates. Finally, numerical simulations are provided to demonstrate the effectiveness of the proposed algorithms. Journal: International Journal of Systems Science Pages: 2870-2884 Issue: 15 Volume: 50 Year: 2019 Month: 11 X-DOI: 10.1080/00207721.2019.1690720 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1690720 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:15:p:2870-2884 Template-Type: ReDIF-Article 1.0 Author-Name: Chun-xi Yang Author-X-Name-First: Chun-xi Author-X-Name-Last: Yang Author-Name: Ling-yun Huang Author-X-Name-First: Ling-yun Author-X-Name-Last: Huang Author-Name: Hao Zhang Author-X-Name-First: Hao Author-X-Name-Last: Zhang Author-Name: Wang Hua Author-X-Name-First: Wang Author-X-Name-Last: Hua Title: Multirate parallel distributed compensation of a cluster in wireless sensor and actor networks Abstract: The stabilisation problem for one of the clusters with bounded multiple random time delays and packet dropouts in wireless sensor and actor networks is investigated in this paper. A new multirate switching model is constructed to describe the feature of this single input multiple output linear system. According to the difficulty of controller design under multi-constraints in multirate switching model, this model can be converted to a Takagi–Sugeno fuzzy model. By designing a multirate parallel distributed compensation, a sufficient condition is established to ensure this closed-loop fuzzy control system to be globally exponentially stable. The solution of the multirate parallel distributed compensation gains can be obtained by solving an auxiliary convex optimisation problem. Finally, two numerical examples are given to show, compared with solving switching controller, multirate parallel distributed compensation can be obtained easily. Furthermore, it has stronger robust stability than arbitrary switching controller and single-rate parallel distributed compensation under the same conditions. Journal: International Journal of Systems Science Pages: 1-13 Issue: 1 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1018374 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1018374 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:1:p:1-13 Template-Type: ReDIF-Article 1.0 Author-Name: Zhaohui Chen Author-X-Name-First: Zhaohui Author-X-Name-Last: Chen Author-Name: Qi Huang Author-X-Name-First: Qi Author-X-Name-Last: Huang Title: Globally exponential stability and stabilization of interconnected Markovian jump system with mode-dependent delays Abstract: This paper focuses on the problems of globally exponential stability and stabilization with H∞ performance for a class of interconnected Markovian jump system with mode-dependent delays in interconnection. By constructing a Lyapunov-Krasovskii functional, delay-range-dependent globally mean-square exponential stability conditions are established in terms of linear matrix inequalities. Based on the obtained conditions, state feedback control utilizing global state information and state feedback control utilizing global state information of decentralised observers are developed to render the closed-loop interconnected Markovian jump time-delay system globally exponential stable with H∞ performance. Numerical simulation of a power system, composed of three coupled machines, is used to illustrate the effectiveness of the obtained results. Journal: International Journal of Systems Science Pages: 14-31 Issue: 1 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1018377 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1018377 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:1:p:14-31 Template-Type: ReDIF-Article 1.0 Author-Name: Do Wan Kim Author-X-Name-First: Do Wan Author-X-Name-Last: Kim Author-Name: Ho Jae Lee Author-X-Name-First: Ho Jae Author-X-Name-Last: Lee Title: Direct discrete-time design approach to robust sampled-data observer-based output-feedback fuzzy control Abstract: This paper addresses a direct discrete-time design methodology for a robust H∞$\mathscr {H}_{\infty }$ sampled-data observer-based output-feedback stabilisation problem for a class of non-linear systems suffering from parametric uncertainties and disturbances that is identically modelled as a Takagi–Sugeno (T–S) fuzzy model at least locally. The primary features in the current development are that (1) we are based on an exact (rather than approximate) discrete-time model in an integral (rather than closed) form while (2) the H∞$\mathscr {H}_{\infty }$ control performance is characterised with respect to an L2$\mathscr {L}_{2}$ (rather than l2) norm. It is shown that the uncertain sampled-data non-linear control system is robustly asymptotically stable if the employed discrete-time model is so. Design conditions are investigated in the discrete-time Lyapunov sense and concretised in the format of linear matrix inequalities. Journal: International Journal of Systems Science Pages: 77-91 Issue: 1 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1021731 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1021731 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:1:p:77-91 Template-Type: ReDIF-Article 1.0 Author-Name: Hossein Parastvand Author-X-Name-First: Hossein Author-X-Name-Last: Parastvand Author-Name: Mohammad-Javad Khosrowjerdi Author-X-Name-First: Mohammad-Javad Author-X-Name-Last: Khosrowjerdi Title: Parameterised controller synthesis for SISO-LTI uncertain plants using frequency domain information Abstract: This paper extends the results of a new model-free approach which has been applied to guarantee nominal stability and performance. In this paper, using a particular controller structure, the robust stability (RS) and robust performance (RP) criteria for single input single output linear time invariant (SISO-LTI) plants with multiplicative uncertainty are transformed to affine functions in terms of controller parameters. It is shown that solving the feasibility problem of these new criteria will lead to controllers that guarantee the RS and performance. There is no need for a plant mathematical model. The required data for controller synthesis are just the frequency responses corresponding to limited samples of the uncertain plant. Also, there is no need for exact data at each frequency for the whole set of frequency responses. The approach is also applicable for designing both low- and high-order controllers. The effectiveness of the proposed technique is illustrated by simulation results. Journal: International Journal of Systems Science Pages: 32-44 Issue: 1 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1022026 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1022026 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:1:p:32-44 Template-Type: ReDIF-Article 1.0 Author-Name: Abdessamad Naitali Author-X-Name-First: Abdessamad Author-X-Name-Last: Naitali Author-Name: Fouad Giri Author-X-Name-First: Fouad Author-X-Name-Last: Giri Title: Wiener–Hammerstein system identification – an evolutionary approach Abstract: The problem of identifying parametric Wiener–Hammerstein (WH) systems is addressed within the evolutionary optimisation context. Specifically, a hybrid culture identification method is developed that involves model structure adaptation using genetic recombination and model parameter learning using particle swarm optimisation. The method enjoys three interesting features: (1) the risk of premature convergence of model parameter estimates to local optima is significantly reduced, due to the constantly maintained diversity of model candidates; (2) no prior knowledge is needed except for upper bounds on the system structure indices; (3) the method is fully autonomous as no interaction is needed with the user during the optimum search process. The performances of the proposed method will be illustrated and compared to alternative methods using a well-established WH benchmark. Journal: International Journal of Systems Science Pages: 45-61 Issue: 1 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1027758 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1027758 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:1:p:45-61 Template-Type: ReDIF-Article 1.0 Author-Name: Weidong Zhou Author-X-Name-First: Weidong Author-X-Name-Last: Zhou Author-Name: Mengmeng Liu Author-X-Name-First: Mengmeng Author-X-Name-Last: Liu Title: Robust interacting multiple model algorithms based on multi-sensor fusion criteria Abstract: This paper is concerned with the state estimation problem for a class of Markov jump linear discrete-time stochastic systems. Three novel interacting multiple model (IMM) algorithms are proposed based on the H∞ technique, the correlation among estimation errors of mode-conditioned filters and the multi-sensor optimal information fusion criteria. Mode probabilities in the novel algorithms are derived based on the error cross-covariances instead of likelihood functions. The H∞ technique taking the place of Kalman filtering is applied to enhance the robustness of the new approaches. Theoretical analysis and Monte Carlo simulation results indicate that the proposed algorithms are effective and have an obvious advantage in velocity estimation when tracking a maneuvering target. Journal: International Journal of Systems Science Pages: 92-106 Issue: 1 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1029566 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1029566 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:1:p:92-106 Template-Type: ReDIF-Article 1.0 Author-Name: Amir Hossein Hassanabadi Author-X-Name-First: Amir Hossein Author-X-Name-Last: Hassanabadi Author-Name: Masoud Shafiee Author-X-Name-First: Masoud Author-X-Name-Last: Shafiee Author-Name: Vicenc Puig Author-X-Name-First: Vicenc Author-X-Name-Last: Puig Title: UIO design for singular delayed LPV systems with application to actuator fault detection and isolation Abstract: In this paper, the unknown input observer (UIO) design for singular delayed linear parameter varying (LPV) systems is considered regarding its application to actuator fault detection and isolation. The design procedure assumes that the LPV system is represented in the polytopic framework. Existence and convergence conditions for the UIO are established. The design procedure is formulated by means of linear matrix inequalities (LMIs). Actuator fault detection and isolation is based on using the UIO approach for designing a residual generator that is completely decoupled from unknown inputs and exclusively sensitive to faults. Fault isolation is addressed considering two different strategies: dedicated and generalised bank of observers’ schemes. The applicability of these two schemes for the fault isolation is discussed. An open flow canal system is considered as a case study to illustrate the performance and usefulness of the proposed fault detection and isolation method in different fault scenarios. Journal: International Journal of Systems Science Pages: 107-121 Issue: 1 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1029567 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1029567 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:1:p:107-121 Template-Type: ReDIF-Article 1.0 Author-Name: Yangsheng Hu Author-X-Name-First: Yangsheng Author-X-Name-Last: Hu Author-Name: Yuan Fan Author-X-Name-First: Yuan Author-X-Name-Last: Fan Author-Name: Yiheng Wei Author-X-Name-First: Yiheng Author-X-Name-Last: Wei Author-Name: Yong Wang Author-X-Name-First: Yong Author-X-Name-Last: Wang Author-Name: Qing Liang Author-X-Name-First: Qing Author-X-Name-Last: Liang Title: Subspace-based continuous-time identification of fractional order systems from non-uniformly sampled data Abstract: This work focuses on the identification of fractional commensurate order systems from non-uniformly sampled data. A novel scheme is proposed to solve such problem. In this scheme, the non-uniformly sampled data are first complemented by using fractional Laguerre generating functions. Then, the multivariable output error state space method is employed to identify the relevant system parameters. Moreover, an in-depth property analysis of the proposed scheme is provided. A numerical example is investigated to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 122-134 Issue: 1 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1029568 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1029568 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:1:p:122-134 Template-Type: ReDIF-Article 1.0 Author-Name: Yuan Fan Author-X-Name-First: Yuan Author-X-Name-Last: Fan Author-Name: Runzhe Han Author-X-Name-First: Runzhe Author-X-Name-Last: Han Author-Name: Jianbin Qiu Author-X-Name-First: Jianbin Author-X-Name-Last: Qiu Title: Graph-balancing algorithms for average consensus over directed networks Abstract: Consensus strategies find extensive applications in coordination of robot groups and decision-making of agents. Since balanced graph plays an important role in the average consensus problem and many other coordination problems for directed communication networks, this work explores the conditions and algorithms for the digraph balancing problem. Based on the analysis of graph cycles, we prove that a digraph can be balanced if and only if the null space of its incidence matrix contains positive vectors. Then, based on this result and the corresponding analysis, two weight balance algorithms have been proposed, and the conditions for obtaining a unique balanced solution and a set of analytical results on weight balance problems have been introduced. Then, we point out the relationship between the weight balance problem and the features of the corresponding underlying Markov chain. Finally, two numerical examples are presented to verify the proposed algorithms. Journal: International Journal of Systems Science Pages: 135-148 Issue: 1 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1029720 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1029720 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:1:p:135-148 Template-Type: ReDIF-Article 1.0 Author-Name: U.M. Al-Saggaf Author-X-Name-First: U.M. Author-X-Name-Last: Al-Saggaf Author-Name: I.M. Mehedi Author-X-Name-First: I.M. Author-X-Name-Last: Mehedi Author-Name: R. Mansouri Author-X-Name-First: R. Author-X-Name-Last: Mansouri Author-Name: M. Bettayeb Author-X-Name-First: M. Author-X-Name-Last: Bettayeb Title: State feedback with fractional integral control design based on the Bode’s ideal transfer function Abstract: State feedback technique through a gain matrix has been a well-known method for pole assignment of a linear system. The technique could encounter a difficulty in eliminating the steady-state errors in some states. Introducing an integral element can effectively eliminate these errors. State feedback with fractional integral control is proposed, in this work, for pole placement of a linear time invariant system. The proposed method yields simple gain formulae. The paper presents the derivation of the design formulae. The method is applied to stabilise an inherently unstable inverted pendulum-cart system. Simulation and experimental results show the effectiveness of the proposed method for set-point tracking, disturbance rejection and stabilising the inverted pendulum. Comparison with the results obtained from applying Achermann’s formula is also presented. Journal: International Journal of Systems Science Pages: 149-161 Issue: 1 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1034299 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1034299 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:1:p:149-161 Template-Type: ReDIF-Article 1.0 Author-Name: Junhua Hu Author-X-Name-First: Junhua Author-X-Name-Last: Hu Author-Name: Xiaolong Zhang Author-X-Name-First: Xiaolong Author-X-Name-Last: Zhang Author-Name: Xiaohong Chen Author-X-Name-First: Xiaohong Author-X-Name-Last: Chen Author-Name: Yongmei Liu Author-X-Name-First: Yongmei Author-X-Name-Last: Liu Title: Hesitant fuzzy information measures and their applications in multi-criteria decision making Abstract: Hesitant fuzzy set (HFS) is a powerful decision tool to express uncertain information more flexibly and comprehensively. The aim of this paper is to propose more reasonable information measures for HFSs in comparison with the existing ones. First, a series of distance measures is suggested for hesitant fuzzy element and hesitant fuzzy sets. These measures are directly calculated from hesitant fuzzy elements without judging the decision-makers’ risk preference and adding any values into the hesitant fuzzy element with the smaller number of elements. Then, some similarity and entropy measures are proposed based on the transforming relationship among the information measures. Additionally, based on the proposed information measures, a TOPSIS method for hesitant fuzzy information is provided. Finally, some numerical examples are used in order to illustrate the proposed decision method and a comparative analysis is made to demonstrate that the suggested measures are more objective and feasible in certain cases. Journal: International Journal of Systems Science Pages: 62-76 Issue: 1 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1036476 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1036476 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:1:p:62-76 Template-Type: ReDIF-Article 1.0 Author-Name: Bi Zhang Author-X-Name-First: Bi Author-X-Name-Last: Zhang Author-Name: Zhizhong Mao Author-X-Name-First: Zhizhong Author-X-Name-Last: Mao Title: Adaptive control of stochastic Hammerstein–Wiener nonlinear systems with measurement noise Abstract: This paper deals with the adaptive control of a class of stochastic Hammerstein–Wiener nonlinear systems with measurement noise. Despite the fundamental progress achieved so far, a general theory framework about adaptive control of Hammerstein–Wiener models is still absent. Such situation is mainly due to the lack of an appropriate parameterisation model. To this end, this paper presents a novel parameterisation model that is to replace unmeasurable internal variables with their estimations. Then, the adaptive control algorithm to be applied is derived on the basis of self-tuning control. In addition, due to the use of the internal variable estimations, the stability and convergence properties are different from the self-tuning control. Our aim, in theoretical analysis, is to discover what limitations are in using the estimations instead of the true values in a control algorithm. Representative numerical examples are given and the simulation results verify the theoretical analysis. Journal: International Journal of Systems Science Pages: 162-178 Issue: 1 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1036478 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1036478 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:1:p:162-178 Template-Type: ReDIF-Article 1.0 Author-Name: Wei Zhang Author-X-Name-First: Wei Author-X-Name-Last: Zhang Author-Name: Yagang Wang Author-X-Name-First: Yagang Author-X-Name-Last: Wang Author-Name: Yurong Liu Author-X-Name-First: Yurong Author-X-Name-Last: Liu Author-Name: Weidong Zhang Author-X-Name-First: Weidong Author-X-Name-Last: Zhang Title: Multivariable disturbance observer-based H analytical decoupling control design for multivariable systems Abstract: In this paper, an H2 analytical decoupling control scheme with multivariable disturbance observer for both stable and unstable multi-input/multi-output (MIMO) systems with multiple time delays is proposed. Compared with conventional control strategies, the main merit is that the proposed control scheme can improve the system performances effectively when the MIMO processes with severe model mismatches and strong external disturbances. Besides, the design method has three additional advantages. First, the derived controller and observer are given in analytical forms, the design procedure is simple. Second, the orders of the designed controller and observer are low, they can be implemented easily in practice. Finally, the performance and robustness can be adjusted easily by tuning the parameters in the designed controller and observer. It is useful for practical application. Simulations are provided to illustrate the effectiveness of the proposed control scheme. Journal: International Journal of Systems Science Pages: 179-193 Issue: 1 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1036479 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1036479 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:1:p:179-193 Template-Type: ReDIF-Article 1.0 Author-Name: Zhaoxu Yu Author-X-Name-First: Zhaoxu Author-X-Name-Last: Yu Author-Name: Shugang Li Author-X-Name-First: Shugang Author-X-Name-Last: Li Author-Name: Fangfei Li Author-X-Name-First: Fangfei Author-X-Name-Last: Li Title: Observer-based adaptive neural dynamic surface control for a class of non-strict-feedback stochastic nonlinear systems Abstract: The problem of adaptive output feedback stabilisation is addressed for a more general class of non-strict-feedback stochastic nonlinear systems in this paper. The neural network (NN) approximation and the variable separation technique are utilised to deal with the unknown subsystem functions with the whole states. Based on the design of a simple input-driven observer, an adaptive NN output feedback controller which contains only one parameter to be updated is developed for such systems by using the dynamic surface control method. The proposed control scheme ensures that all signals in the closed-loop systems are bounded in probability and the error signals remain semi-globally uniformly ultimately bounded in fourth moment (or mean square). Two simulation examples are given to illustrate the effectiveness of the proposed control design. Journal: International Journal of Systems Science Pages: 194-208 Issue: 1 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1043364 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1043364 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:1:p:194-208 Template-Type: ReDIF-Article 1.0 Author-Name: Yonggang Zhang Author-X-Name-First: Yonggang Author-X-Name-Last: Zhang Author-Name: Yulong Huang Author-X-Name-First: Yulong Author-X-Name-Last: Huang Author-Name: Ning Li Author-X-Name-First: Ning Author-X-Name-Last: Li Author-Name: Lin Zhao Author-X-Name-First: Lin Author-X-Name-Last: Zhao Title: Particle filter with one-step randomly delayed measurements and unknown latency probability Abstract: In this paper, a new particle filter is proposed to solve the nonlinear and non-Gaussian filtering problem when measurements are randomly delayed by one sampling time and the latency probability of the delay is unknown. In the proposed method, particles and their weights are updated in Bayesian filtering framework by considering the randomly delayed measurement model, and the latency probability is identified by maximum likelihood criterion. The superior performance of the proposed particle filter as compared with existing methods and the effectiveness of the proposed identification method of latency probability are both illustrated in two numerical examples concerning univariate non-stationary growth model and bearing only tracking. Journal: International Journal of Systems Science Pages: 209-221 Issue: 1 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1056272 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1056272 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:1:p:209-221 Template-Type: ReDIF-Article 1.0 Author-Name: Jing Bai Author-X-Name-First: Jing Author-X-Name-Last: Bai Author-Name: Guoguang Wen Author-X-Name-First: Guoguang Author-X-Name-Last: Wen Author-Name: Ahmed Rahmani Author-X-Name-First: Ahmed Author-X-Name-Last: Rahmani Author-Name: Xing Chu Author-X-Name-First: Xing Author-X-Name-Last: Chu Author-Name: Yongguang Yu Author-X-Name-First: Yongguang Author-X-Name-Last: Yu Title: Consensus with a reference state for fractional-order multi-agent systems Abstract: This paper investigates consensus of fractional-order multi-agent systems (MASs) with a reference state. First, a consensus control law with a constant reference state is given using graph theory and stability analysis of fractional-order. Then, a general control law and a particular one for consensus of fractional-order MASs with a time-varying reference state are proposed. Next, the above control laws are extended to solve formation tracking problem. Finally, several simulations are presented to verify the effectiveness of the obtained results. Journal: International Journal of Systems Science Pages: 222-234 Issue: 1 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1056273 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1056273 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:1:p:222-234 Template-Type: ReDIF-Article 1.0 Author-Name: Liyun Zhao Author-X-Name-First: Liyun Author-X-Name-Last: Zhao Author-Name: Jin Zhou Author-X-Name-First: Jin Author-X-Name-Last: Zhou Author-Name: Quanjun Wu Author-X-Name-First: Quanjun Author-X-Name-Last: Wu Title: Sampled-data synchronisation of coupled harmonic oscillators with communication and input delays subject to controller failure Abstract: This paper considers the sampled-data synchronisation problems of coupled harmonic oscillators with communication and input delays subject to controller failure. A synchronisation protocol is proposed for such oscillator systems over directed network topology, and then some general algebraic criteria on exponential convergence for the proposed protocol are established. The main features of the present investigation include: (1) both the communication and input delays are simultaneously addressed, and the directed network topology is firstly considered and (2) the effects of time delays on synchronisation performance are theoretically and numerically investigated. It is shown that in the absence of communication delays, coupled harmonic oscillators can achieve synchronisation oscillatory motion. Whereas if communication delays are nonzero at infinite multiple sampled-data instants, its synchronisation (or consensus) state is zero. This conclusion can be used as an effective control strategy to stabilise coupled harmonic oscillators in practical applications. Furthermore, it is interesting to find that increasing either communication or input delays will enhance the synchronisation performance of coupled harmonic oscillators. Subsequently, numerical examples illustrate and visualise theoretical results. Journal: International Journal of Systems Science Pages: 235-248 Issue: 1 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1067336 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1067336 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:1:p:235-248 Template-Type: ReDIF-Article 1.0 Author-Name: William G. La Cava Author-X-Name-First: William G. Author-X-Name-Last: La Cava Author-Name: Kourosh Danai Author-X-Name-First: Kourosh Author-X-Name-Last: Danai Title: Gradient-based adaptation of continuous dynamic model structures Abstract: A gradient-based method of symbolic adaptation is introduced for a class of continuous dynamic models. The proposed model structure adaptation method starts with the first-principles model of the system and adapts its structure after adjusting its individual components in symbolic form. A key contribution of this work is its introduction of the model’s parameter sensitivity as the measure of symbolic changes to the model. This measure, which is essential to defining the structural sensitivity of the model, not only accommodates algebraic evaluation of candidate models in lieu of more computationally expensive simulation-based evaluation, but also makes possible the implementation of gradient-based optimisation in symbolic adaptation. The proposed method is applied to models of several virtual and real-world systems that demonstrate its potential utility. Journal: International Journal of Systems Science Pages: 249-263 Issue: 1 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1069905 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1069905 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:1:p:249-263 Template-Type: ReDIF-Article 1.0 Author-Name: Ting Yang Author-X-Name-First: Ting Author-X-Name-Last: Yang Author-Name: Lixian Zhang Author-X-Name-First: Lixian Author-X-Name-Last: Zhang Author-Name: Hak-Keung Lam Author-X-Name-First: Hak-Keung Author-X-Name-Last: Lam Title: fuzzy control of semi-Markov jump nonlinear systems under σ-error mean square stability Abstract: This paper is concerned with the problem of time-varying H∞ fuzzy control for a class of semi-Markov jump nonlinear systems in the sense of σ-error mean square stability. The nonlinear plant is described via the Takagi–Sugeno fuzzy model. By defining a time-varying mode-dependent Lyapunov function, a set of sufficient stability and stabilisation criteria for non-disturbance case is first derived and then applied to the investigation of H∞ performance analysis and H∞ fuzzy controller design problems of semi-Markov jump nonlinear systems. Different from the traditional stochastic switching system framework, the probability density function of sojourn time is exploited to circumvent the complex computation of transition probabilities. The derived conditions can cover the time-invariant mode-dependent and time-invariant mode-independent H∞ fuzzy control schemes as special cases. A classic cart-pendulum system is presented to demonstrate the effectiveness and advantages of the proposed theoretical results. Journal: International Journal of Systems Science Pages: 2291-2299 Issue: 11 Volume: 48 Year: 2017 Month: 8 X-DOI: 10.1080/00207721.2017.1315982 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1315982 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:11:p:2291-2299 Template-Type: ReDIF-Article 1.0 Author-Name: Jian Zhang Author-X-Name-First: Jian Author-X-Name-Last: Zhang Author-Name: Feng Yu Author-X-Name-First: Feng Author-X-Name-Last: Yu Author-Name: KwaiSang Chin Author-X-Name-First: KwaiSang Author-X-Name-Last: Chin Title: Recursive identification of Hammerstein systems with dead-zone nonlinearity in the presence of bounded noise Abstract: The existing identification algorithms for Hammerstein systems with dead-zone nonlinearity are restricted by the noise-free condition or the stochastic noise assumption. Inspired by the practical bounded noise assumption, an improved recursive identification algorithm for Hammerstein systems with dead-zone nonlinearity is proposed. Based on the system parametric model, the algorithm is derived by minimising the feasible parameter membership set. The convergence conditions are analysed, and the adaptive weighting factor and the adaptive covariance matrix are introduced to improve the convergence. The validity of this algorithm is demonstrated by two numerical examples, including a practical DC motor case. Journal: International Journal of Systems Science Pages: 2394-2404 Issue: 11 Volume: 48 Year: 2017 Month: 8 X-DOI: 10.1080/00207721.2017.1316427 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1316427 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:11:p:2394-2404 Template-Type: ReDIF-Article 1.0 Author-Name: Liwei An Author-X-Name-First: Liwei Author-X-Name-Last: An Author-Name: Ding Zhai Author-X-Name-First: Ding Author-X-Name-Last: Zhai Author-Name: Jiuxiang Dong Author-X-Name-First: Jiuxiang Author-X-Name-Last: Dong Author-Name: Qingling Zhang Author-X-Name-First: Qingling Author-X-Name-Last: Zhang Title: LMI-based adaptive reliable static output feedback control against switched actuator failures Abstract: This paper investigates the H∞ static output feedback (SOF) control problem for switched linear system under arbitrary switching, where the actuator failure models are considered to depend on switching signal. An active reliable control scheme is developed by combination of linear matrix inequality (LMI) method and adaptive mechanism. First, by exploiting variable substitution and Finsler's lemma, new LMI conditions are given for designing the SOF controller. Compared to the existing results, the proposed design conditions are more relaxed and can be applied to a wider class of no-fault linear systems. Then a novel adaptive mechanism is established, where the inverses of switched failure scaling factors are estimated online to accommodate the effects of actuator failure on systems. Two main difficulties arise: first is how to design the switched adaptive laws to prevent the missing of estimating information due to switching; second is how to construct a common Lyapunov function based on a switched estimate error term. It is shown that the new method can give less conservative results than that for the traditional control design with fixed gain matrices. Finally, simulation results on the HiMAT aircraft are given to show the effectiveness of the proposed approaches. Journal: International Journal of Systems Science Pages: 2345-2355 Issue: 11 Volume: 48 Year: 2017 Month: 8 X-DOI: 10.1080/00207721.2017.1316428 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1316428 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:11:p:2345-2355 Template-Type: ReDIF-Article 1.0 Author-Name: Xin Wang Author-X-Name-First: Xin Author-X-Name-Last: Wang Author-Name: Xinzhi Liu Author-X-Name-First: Xinzhi Author-X-Name-Last: Liu Author-Name: Kun She Author-X-Name-First: Kun Author-X-Name-Last: She Author-Name: Shouming Zhong Author-X-Name-First: Shouming Author-X-Name-Last: Zhong Author-Name: Kaibo Shi Author-X-Name-First: Kaibo Author-X-Name-Last: Shi Title: Stochastic mean square exponential synchronisation of time-varying complex dynamical networks via pinning control Abstract: This paper investigates the problem of stochastic mean square exponential synchronisation of complex dynamical networks with time-varying delay via pinning control. By applying the Lyapunov method and stochastic analysis, criteria on mean square exponential synchronisation are established under linear feedback pinning control and adaptive feedback pinning control, which depend on the time-varying delay and stochastic perturbation. These results complement and improve the previously known results. Two numerical examples are given to illustrate the effectiveness and correctness of the derived theoretical results. Journal: International Journal of Systems Science Pages: 2282-2290 Issue: 11 Volume: 48 Year: 2017 Month: 8 X-DOI: 10.1080/00207721.2017.1316429 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1316429 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:11:p:2282-2290 Template-Type: ReDIF-Article 1.0 Author-Name: Jingfei Jiang Author-X-Name-First: Jingfei Author-X-Name-Last: Jiang Author-Name: Dengqing Cao Author-X-Name-First: Dengqing Author-X-Name-Last: Cao Author-Name: Huatao Chen Author-X-Name-First: Huatao Author-X-Name-Last: Chen Author-Name: Kun Zhao Author-X-Name-First: Kun Author-X-Name-Last: Zhao Title: The vibration transmissibility of a single degree of freedom oscillator with nonlinear fractional order damping Abstract: Motivated by the theoretical analysis of the effects of nonlinear viscous damping on vibration isolation using the output frequency response function approach, the output frequency response function approach is employed to investigate the effects of the nonlinear fractional order damping on vibration isolation based on Volterra series in the frequency domain. First, the recursive algorithm which is proposed by Billings et al. is extended to deal with the system with fractional order terms. Then, the analytical relationships are established among the force transmissibility, nonlinear characteristic coefficients and fractional order parameters for the single degree of freedom oscillator. Consequently, the effects of the nonlinear system parameters on the force transmissibility are discussed in detail. The theoretical analysis reveals that the force transmissibility of the oscillator is suppressed due to the existence of the fractional order damping, but presents different effects on suppressing the force transmissibility of the oscillator over the frequency region by varying the fractional order parameters. Moreover, the fractional order parameters, which affect the force transmissibility, the bandwidth of the frequency region and the resonance frequency, can be used as designing parameters for vibration isolation systems. At last, numerical studies are presented to illustrate the theoretical results. Journal: International Journal of Systems Science Pages: 2379-2393 Issue: 11 Volume: 48 Year: 2017 Month: 8 X-DOI: 10.1080/00207721.2017.1316530 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1316530 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:11:p:2379-2393 Template-Type: ReDIF-Article 1.0 Author-Name: Dongming Liu Author-X-Name-First: Dongming Author-X-Name-Last: Liu Author-Name: Jianchang Liu Author-X-Name-First: Jianchang Author-X-Name-Last: Liu Title: Synchronisation of linear high-order multi-agent systems via event-triggered control with limited communication Abstract: In this paper, the synchronisation problems of multi-agent systems with asynchronous and synchronous event-triggered control under a novel event-triggered condition are solved. Our event-triggered control protocols only require each agent to send its state information to its neighbouring agents when an event-triggered condition is satisfied. Such control protocols substantially reduce the cost of communication. It is worth mentioning that the proposed protocols also ensure that the synchronisation of the multi-agent system with asynchronous and synchronous event-triggered can be achieved asymptotically without Zeno-behaviour. Meanwhile, an ultimate synchronisation trajectory is given. Moreover, our results are applied to solve the formation control problem. Some numerical simulations are presented to illustrate the effectiveness of our protocols. Journal: International Journal of Systems Science Pages: 2428-2439 Issue: 11 Volume: 48 Year: 2017 Month: 8 X-DOI: 10.1080/00207721.2017.1316878 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1316878 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:11:p:2428-2439 Template-Type: ReDIF-Article 1.0 Author-Name: Daniel Simon Author-X-Name-First: Daniel Author-X-Name-Last: Simon Author-Name: Alexandre Seuret Author-X-Name-First: Alexandre Author-X-Name-Last: Seuret Author-Name: Olivier Sename Author-X-Name-First: Olivier Author-X-Name-Last: Sename Title: Real-time control systems: feedback, scheduling and robustness Abstract: The efficient control of real-time distributed systems, where continuous components are governed through digital devices and communication networks, needs a careful examination of the constraints arising from the different involved domains inside co-design approaches. Thanks to the robustness of feedback control, both new control methodologies and slackened real-time scheduling schemes are proposed beyond the frontiers between these traditionally separated fields. A methodology to design robust aperiodic controllers is provided, where the sampling interval is considered as a control variable of the system. Promising experimental results are provided to show the feasibility and robustness of the approach. Journal: International Journal of Systems Science Pages: 2368-2378 Issue: 11 Volume: 48 Year: 2017 Month: 8 X-DOI: 10.1080/00207721.2017.1316879 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1316879 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:11:p:2368-2378 Template-Type: ReDIF-Article 1.0 Author-Name: Wenjie Si Author-X-Name-First: Wenjie Author-X-Name-Last: Si Author-Name: Xunde Dong Author-X-Name-First: Xunde Author-X-Name-Last: Dong Author-Name: Feifei Yang Author-X-Name-First: Feifei Author-X-Name-Last: Yang Title: Adaptive neural prescribed performance control for a class of strict-feedback stochastic nonlinear systems under arbitrary switchings Abstract: This paper presents an adaptive neural tracking control scheme for strict-feedback stochastic nonlinear systems with guaranteed transient and steady-state performance under arbitrary switchings. First, by utilising the prescribed performance control, the prescribed tracking control performance can be ensured, while the requirement for the initial error is removed. Second, radial basis function neural networks approximation are used to handle unknown nonlinear functions and stochastic disturbances. At last, by using the common Lyapunov function method and the backstepping technique, a common adaptive neural controller is constructed. The designed controller overcomes the problem of the over-parameterisation, and further alleviates the computational burden. Under the proposed common adaptive controller, all the signals in the closed-loop system are 4-Moment (or 2 Moment) semi-globally uniformly ultimately bounded, and the prescribed tracking control performance are guaranteed under arbitrary switchings. Three examples are presented to further illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 2300-2310 Issue: 11 Volume: 48 Year: 2017 Month: 8 X-DOI: 10.1080/00207721.2017.1316880 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1316880 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:11:p:2300-2310 Template-Type: ReDIF-Article 1.0 Author-Name: R. Sakthivel Author-X-Name-First: R. Author-X-Name-Last: Sakthivel Author-Name: L. Susana Ramya Author-X-Name-First: L. Author-X-Name-Last: Susana Ramya Author-Name: P. Selvaraj Author-X-Name-First: P. Author-X-Name-Last: Selvaraj Title: Observer-based state tracking control of uncertain stochastic systems via repetitive controller Abstract: This paper develops the repetitive control scheme for state tracking control of uncertain stochastic time-varying delay systems via equivalent-input-disturbance approach. The main purpose of this work is to design a repetitive controller to guarantee the tracking performance under the effects of unknown disturbances with bounded frequency and parameter variations. Specifically, a new set of linear matrix inequality (LMI)-based conditions is derived based on the suitable Lyapunov–Krasovskii functional theory for designing a repetitive controller which guarantees stability and desired tracking performance. More precisely, an equivalent-input-disturbance estimator is incorporated into the control design to reduce the effect of the external disturbances. Simulation results are provided to demonstrate the desired control system stability and their tracking performance. A practical stream water quality preserving system is also provided to show the effectiveness and advantage of the proposed approach. Journal: International Journal of Systems Science Pages: 2272-2281 Issue: 11 Volume: 48 Year: 2017 Month: 8 X-DOI: 10.1080/00207721.2017.1316881 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1316881 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:11:p:2272-2281 Template-Type: ReDIF-Article 1.0 Author-Name: R. Saravanakumar Author-X-Name-First: R. Author-X-Name-Last: Saravanakumar Author-Name: Grienggrai Rajchakit Author-X-Name-First: Grienggrai Author-X-Name-Last: Rajchakit Author-Name: M. Syed Ali Author-X-Name-First: M. Syed Author-X-Name-Last: Ali Author-Name: Young Hoon Joo Author-X-Name-First: Young Hoon Author-X-Name-Last: Joo Title: Extended dissipativity of generalised neural networks including time delays Abstract: This article explores the extended dissipativity conditions for generalised neural networks (GNNs) including interval time-varying delays. Extended dissipativity criterions are proposed by making proper Lyapunov–Krasovskii functional. The improved reciprocally convex combination and weighted integral inequality techniques are together applied in main results to establish the new extended dissipativity conditions of delayed GNNs. Finally, the feasibility and superiority of the proposed novel approach is clearly shown by numerical examples. Journal: International Journal of Systems Science Pages: 2311-2320 Issue: 11 Volume: 48 Year: 2017 Month: 8 X-DOI: 10.1080/00207721.2017.1316882 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1316882 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:11:p:2311-2320 Template-Type: ReDIF-Article 1.0 Author-Name: Baolong Zhu Author-X-Name-First: Baolong Author-X-Name-Last: Zhu Author-Name: Zhiping Zhang Author-X-Name-First: Zhiping Author-X-Name-Last: Zhang Author-Name: Ding Zhou Author-X-Name-First: Ding Author-X-Name-Last: Zhou Author-Name: Jie Ma Author-X-Name-First: Jie Author-X-Name-Last: Ma Author-Name: Shunli Li Author-X-Name-First: Shunli Author-X-Name-Last: Li Title: Prediction-based sampled-data controller design for attitude stabilisation of a rigid spacecraft with disturbances Abstract: This paper investigates the H∞ control problem of the attitude stabilisation of a rigid spacecraft with external disturbances using prediction-based sampled-data control strategy. Aiming to achieve a ‘virtual’ closed-loop system, a type of parameterised sampled-data controller is designed by introducing a prediction mechanism. The resultant closed-loop system is equivalent to a hybrid system featured by a continuous-time and an impulsive differential system. By using a time-varying Lyapunov functional, a generalised bounded real lemma (GBRL) is first established for a kind of impulsive differential system. Based on this GBRL and Lyapunov functional approach, a sufficient condition is derived to guarantee the closed-loop system to be asymptotically stable and to achieve a prescribed H∞ performance. In addition, the controller parameter tuning is cast into a convex optimisation problem. Simulation and comparative results are provided to illustrate the effectiveness of the developed control scheme. Journal: International Journal of Systems Science Pages: 2356-2367 Issue: 11 Volume: 48 Year: 2017 Month: 8 X-DOI: 10.1080/00207721.2017.1316883 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1316883 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:11:p:2356-2367 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaochen Xie Author-X-Name-First: Xiaochen Author-X-Name-Last: Xie Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Author-Name: Panshuo Li Author-X-Name-First: Panshuo Author-X-Name-Last: Li Title: Finite-time control of periodic piecewise linear systems Abstract: In this paper, the finite-time stability, stabilisation, L2-gain and H∞ control problems for a class of continuous-time periodic piecewise linear systems are addressed. By employing a time-varying control scheme in which the time interval of each subsystem constitutes a number of basic time segments, the finite-time controllers can be developed with periodically time-varying control gains. Based on a piecewise time-varying Lyapunov-like function, a sufficient condition of finite-time stability and the relevant time-varying controller are proposed. Considering the finite-time boundedness of the closed-loop periodic system, the L2-gain criterion with continuous time-varying Lyapunov-like matrix function is studied. A finite-time H∞ controller is proposed based on the L2-gain analysis. Finally, numerical simulations are presented to illustrate the effectiveness of the proposed criteria. Journal: International Journal of Systems Science Pages: 2333-2344 Issue: 11 Volume: 48 Year: 2017 Month: 8 X-DOI: 10.1080/00207721.2017.1316884 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1316884 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:11:p:2333-2344 Template-Type: ReDIF-Article 1.0 Author-Name: Meng-Meng Jiang Author-X-Name-First: Meng-Meng Author-X-Name-Last: Jiang Author-Name: Kemei Zhang Author-X-Name-First: Kemei Author-X-Name-Last: Zhang Author-Name: Xue-Jun Xie Author-X-Name-First: Xue-Jun Author-X-Name-Last: Xie Title: Output feedback stabilisation of stochastic nonlinear time-delay systems with unknown output function Abstract: This paper studies the problem of output feedback stabilisation for a class of stochastic nonlinear time-delay systems with the unknown output function. For stochastic nonlinear time-delay systems, the maximal open sector Δ of output function is given. As long as output function belongs to any closed sector included in Δ, by constructing a reduced-order observer and C2$\mathcal{C}^2$ Lyapunov– Krasovskii functional and using the homogeneous domination method, an output feedback controller can be developed to guarantee the closed-loop system globally asymptotically stable in probability. Journal: International Journal of Systems Science Pages: 2262-2271 Issue: 11 Volume: 48 Year: 2017 Month: 8 X-DOI: 10.1080/00207721.2017.1316885 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1316885 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:11:p:2262-2271 Template-Type: ReDIF-Article 1.0 Author-Name: Shipei Huang Author-X-Name-First: Shipei Author-X-Name-Last: Huang Author-Name: Zhengrong Xiang Author-X-Name-First: Zhengrong Author-X-Name-Last: Xiang Title: Adaptive finite-time stabilisation of a class of high-order nonlinear systems with inverse dynamics Abstract: This paper investigates the adaptive finite-time stabilisation of a class of high-order nonlinear systems with inverse dynamics and time-varying control coefficients. Under the assumptions that the inverse dynamics of the subsystem are input-to-state stable , and nonlinear terms depend upon the inverse dynamics, the states and unknown parameters, we present a systematic design procedure for an adaptive finite-time state-feedback control law by using a recursive design approach. It is shown that under the proposed adaptive control law, the state of the closed-loop system is finite-time convergent. Two examples are provided to show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2321-2332 Issue: 11 Volume: 48 Year: 2017 Month: 8 X-DOI: 10.1080/00207721.2017.1317878 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1317878 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:11:p:2321-2332 Template-Type: ReDIF-Article 1.0 Author-Name: Yue-Chao Ma Author-X-Name-First: Yue-Chao Author-X-Name-Last: Ma Author-Name: Yang-Fan Liu Author-X-Name-First: Yang-Fan Author-X-Name-Last: Liu Author-Name: Hui Chen Author-X-Name-First: Hui Author-X-Name-Last: Chen Title: Reliable finite-time control of uncertain singular nonlinear Markovian jump systems with bounded transition probabilities and time-varying delay Abstract: This paper investigates the problem of reliable finite-time H∞ control for one class of uncertainsingular nonlinear Markovian jump systems with time-varying delay subject to partial information on the transition probabilities. Continuous fault model is more general and practical to serve as the actuator fault. Time delay is a kind of positive time-varying differentiable bounded delays. First, based on a state estimator the resulting closed-loop error system is constructed and sufficient criteria are provided to guarantee that the augmented system is singular stochastic finite-time boundedness and singular stochastic H∞ finite-time boundedness in both normal and fault cases via constructing a delay-dependent Lyapunov–Krasonskii function. Then, the gain matrices of state-feedback controller and state estimator are fixed by solving a feasibility problem in terms of linear matrix inequalities through decoupling technique, respectively. Finally, numerical examples are given to show the validity of the proposed design approach. Journal: International Journal of Systems Science Pages: 2249-2261 Issue: 11 Volume: 48 Year: 2017 Month: 8 X-DOI: 10.1080/00207721.2017.1318972 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1318972 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:11:p:2249-2261 Template-Type: ReDIF-Article 1.0 Author-Name: Linwei Li Author-X-Name-First: Linwei Author-X-Name-Last: Li Author-Name: Xuemei Ren Author-X-Name-First: Xuemei Author-X-Name-Last: Ren Title: Decomposition-based recursive least-squares parameter estimation algorithm for Wiener-Hammerstein systems with dead-zone nonlinearity Abstract: In this paper, a decomposition-based recursive least-squares algorithm is proposed for the parameter estimation of Wiener-Hammerstein systems with dead-zone. Based on a smooth parameterisation of the dead-zone nonlinearity, the Wiener-Hammerstein systems with dead-zone can be transformed into a particular model where the parameter vector involves the least number of parameters needed for the identification model description by using the key-term separation principle. On the basis of the particular model, the hierarchical identification principle is presented to decompose the particular model into two identification subsystems, whose parameters are estimated by using a recursive least squares and the auxiliary model method. Furthermore, the convergence analysis of the proposed algorithm ensures that the estimated parameters convergence to their true values. Compared with recursive least squares algorithm and multi-innovation least-squares, the proposed algorithm can avoid the redundant parameters estimation, and meanwhile reduce the computational burden. Numerical examples and experiment are carried out to illustrate the validity of the proposed algorithm. Journal: International Journal of Systems Science Pages: 2405-2414 Issue: 11 Volume: 48 Year: 2017 Month: 8 X-DOI: 10.1080/00207721.2017.1320455 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1320455 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:11:p:2405-2414 Template-Type: ReDIF-Article 1.0 Author-Name: M. Hernandez–Gonzalez Author-X-Name-First: M. Author-X-Name-Last: Hernandez–Gonzalez Author-Name: M. V. Basin Author-X-Name-First: M. V. Author-X-Name-Last: Basin Title: Discrete-time controller for stochastic nonlinear polynomial systems with Poisson noises Abstract: This paper presents a solution to the optimal control problem for discrete-time stochastic nonlinear polynomial systems confused with white Poisson noises subject to a quadratic criterion. The solution is obtained in the following way: a nonlinear optimal controller is first developed for polynomial systems, considering the state vector completely available for control design. Then, based on the solution of the state estimation problem for polynomial systems with white Poisson noises, the state estimate vector is used in the control law to obtain a closed-form solution. Performance of this controller is compared to that of the controller employing the extended Kalman filter and the linear-quadratic regulator and the controller designed for polynomial systems confused with white Gaussian noises. Journal: International Journal of Systems Science Pages: 2235-2248 Issue: 11 Volume: 48 Year: 2017 Month: 8 X-DOI: 10.1080/00207721.2017.1322156 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1322156 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:11:p:2235-2248 Template-Type: ReDIF-Article 1.0 Author-Name: Xiangdong Liu Author-X-Name-First: Xiangdong Author-X-Name-Last: Liu Author-Name: Haikuo Liu Author-X-Name-First: Haikuo Author-X-Name-Last: Liu Author-Name: Pingli Lu Author-X-Name-First: Pingli Author-X-Name-Last: Lu Author-Name: Shuli Guo Author-X-Name-First: Shuli Author-X-Name-Last: Guo Title: Distributed event-triggered output consensus control for heterogeneous multi-agent system with general linear dynamics Abstract: This paper studies the distributed event-triggered output consensus problem of heterogeneous multi-agent system with general linear dynamics under an undirected connected graph. With the state-dependent triggering function, we design a novel distributed event-triggered output consensus controller for each agent to reach consensus with zero final consensus error. This strategy has several distinguishing features, including the fact that individual agent does not require continuous, or even periodic, communication with their neighbours to update the controller or monitor the triggering condition, and all parameters required by its implementation can be locally determined by the agent. We also prove that events cannot be triggered infinitely in finite time (i.e. no Zeno behaviour). Furthermore, the simulation examples are given to illustrate the theoretical analysis. Journal: International Journal of Systems Science Pages: 2415-2427 Issue: 11 Volume: 48 Year: 2017 Month: 8 X-DOI: 10.1080/00207721.2017.1322639 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1322639 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:11:p:2415-2427 Template-Type: ReDIF-Article 1.0 Author-Name: M. Doostmohammadian Author-X-Name-First: M. Author-X-Name-Last: Doostmohammadian Author-Name: H. Zarrabi Author-X-Name-First: H. Author-X-Name-Last: Zarrabi Author-Name: H. R. Rabiee Author-X-Name-First: H. R. Author-X-Name-Last: Rabiee Title: Sensor selection cost optimisation for tracking structurally cyclic systems: a P-order solution Abstract: Measurements and sensing implementations impose certain cost in sensor networks. The sensor selection cost optimisation is the problem of minimising the sensing cost of monitoring a physical (or cyber-physical) system. Consider a given set of sensors tracking states of a dynamical system for estimation purposes. For each sensor assume different costs to measure different (realisable) states. The idea is to assign sensors to measure states such that the global cost is minimised. The number and selection of sensor measurements need to ensure the observability to track the dynamic state of the system with bounded estimation error. The main question we address is how to select the state measurements to minimise the cost while satisfying the observability conditions. Relaxing the observability condition for structurally cyclic systems, the main contribution is to propose a graph theoretic approach to solve the problem in polynomial time. Note that polynomial time algorithms are suitable for large-scale systems as their running time is upper-bounded by a polynomial expression in the size of input for the algorithm. We frame the problem as a linear sum assignment with solution complexity of O(m3)$\mathcal {O}(m^3)$. Journal: International Journal of Systems Science Pages: 2440-2450 Issue: 11 Volume: 48 Year: 2017 Month: 8 X-DOI: 10.1080/00207721.2017.1322640 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1322640 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:11:p:2440-2450 Template-Type: ReDIF-Article 1.0 Author-Name: Cuicui Meng Author-X-Name-First: Cuicui Author-X-Name-Last: Meng Author-Name: Jianhua Ji Author-X-Name-First: Jianhua Author-X-Name-Last: Ji Author-Name: Xinjun Li Author-X-Name-First: Xinjun Author-X-Name-Last: Li Title: Investment strategy for flexible capacity considering demand-side disruption risk Abstract: This article considers a firm selling two product families and confronting demand-side disruption risk. The firm has the option to invest in dedicated capacities and flexible capacity. To study the optimal investment strategy, we model the firm's decision as a two-stage stochastic programming problem, in which deviation risk is restricted within a certain level. Our analysis provides the necessary and sufficient conditions for the optimal strategy and the threshold policy for the flexible capacity investment. The results in the context of deviation risk constraint are compared with results derived outside of the context of deviation risk constraint. Furthermore, a numerical example is given to depict the optimal investment strategy. Journal: International Journal of Systems Science Pages: 1245-1257 Issue: 6 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.919428 File-URL: http://hdl.handle.net/10.1080/00207721.2014.919428 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1245-1257 Template-Type: ReDIF-Article 1.0 Author-Name: Suresh Thenozhi Author-X-Name-First: Suresh Author-X-Name-Last: Thenozhi Author-Name: Wen Yu Author-X-Name-First: Wen Author-X-Name-Last: Yu Title: Sliding mode control of wind-induced vibrations using fuzzy sliding surface and gain adaptation Abstract: Although fuzzy/adaptive sliding mode control can reduce the chattering problem in structural vibration control applications, they require the equivalent control and the upper bounds of the system uncertainties. In this paper, we used fuzzy logic to approximate the standard sliding surface and designed a dead-zone adaptive law for tuning the switching gain of the sliding mode control. The stability of the proposed controller is established using Lyapunov stability theory. A six-storey building prototype equipped with an active mass damper has been used to demonstrate the effectiveness of the proposed controller towards the wind-induced vibrations. Journal: International Journal of Systems Science Pages: 1258-1267 Issue: 6 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.919429 File-URL: http://hdl.handle.net/10.1080/00207721.2014.919429 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1258-1267 Template-Type: ReDIF-Article 1.0 Author-Name: Hui Zhang Author-X-Name-First: Hui Author-X-Name-Last: Zhang Author-Name: Ying Shen Author-X-Name-First: Ying Author-X-Name-Last: Shen Title: Estimability and stochastic observability of quantised linear systems Abstract: The estimability and stochastic observability of quantised discrete-time linear dynamic systems are discussed from information theoretic viewpoint. Algebraic conditions of estimability and stochastic observability for quantised linear Gaussian systems, i.e., certain Gramians having full rank, are proposed based on the measure of mutual information. The obtained conditions of estimability and observability are consistent with the intuition and provide us with valuable hints on quantiser design. It is shown analytically that the Gramians of quantised systems converge to that of unquantised systems when the quantisation intervals turn to zero, and a well-designed quantiser can preserve the estimability and stochastic observability of the original system even if it is as coarse as one bit. Furthermore, the relation between estimability and stochastic observability is established for quantised stochastically autonomous systems. The analytical results are verified by illustrative simulations. Journal: International Journal of Systems Science Pages: 1268-1279 Issue: 6 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.919713 File-URL: http://hdl.handle.net/10.1080/00207721.2014.919713 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1268-1279 Template-Type: ReDIF-Article 1.0 Author-Name: Rodrick Wallace Author-X-Name-First: Rodrick Author-X-Name-Last: Wallace Title: Canonical failure modes of real-time control systems: insights from cognitive theory Abstract: Newly developed necessary conditions statistical models from cognitive theory are applied to generalisation of the data-rate theorem for real-time control systems. Rather than graceful degradation under stress, automatons and man/machine cockpits appear prone to characteristic sudden failure under demanding fog-of-war conditions. Critical dysfunctions span a spectrum of phase transition analogues, ranging from a ground state of ‘all targets are enemies’ to more standard data-rate instabilities. Insidious pathologies also appear possible, akin to inattentional blindness consequent on overfocus on an expected pattern. Via no-free-lunch constraints, different equivalence classes of systems, having structure and function determined by ‘market pressures’, in a large sense, will be inherently unreliable under different but characteristic canonical stress landscapes, suggesting that deliberate induction of failure may often be relatively straightforward. Focusing on two recent military case histories, these results provide a caveat emptor against blind faith in the current path-dependent evolutionary trajectory of automation for critical real-time processes. Journal: International Journal of Systems Science Pages: 1280-1295 Issue: 6 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.923951 File-URL: http://hdl.handle.net/10.1080/00207721.2014.923951 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1280-1295 Template-Type: ReDIF-Article 1.0 Author-Name: Yan-Si Lin Author-X-Name-First: Yan-Si Author-X-Name-Last: Lin Author-Name: Chih-Chiang Cheng Author-X-Name-First: Chih-Chiang Author-X-Name-Last: Cheng Title: Design of block backstepping controllers for a class of perturbed multiple inputs and state-delayed systems in semi-strict-feedback form Abstract: Based on the Lyapunov stability theorem, an adaptive block backstepping control scheme is proposed in this paper for a class of multi-input systems with mismatched multiple state-delayed perturbations to solve regulation problems. The traditional backstepping control method is modified so that it can be directly applied to systems in block semi-strict-feedback form. The terms in the dynamic equations which do not satisfy the block strict-feedback form are accumulated in the last design step and are suppressed effectively by the adaptive gains, so that the property of asymptotic stability is achieved. Adaptive mechanisms are employed in each of the virtual input controllers as well as the robust controller, hence the least upper bounds of perturbations are not required to be known in advance. A numerical example and a practical application are also given for demonstrating the feasibility of the proposed control scheme. Journal: International Journal of Systems Science Pages: 1296-1311 Issue: 6 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.924216 File-URL: http://hdl.handle.net/10.1080/00207721.2014.924216 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1296-1311 Template-Type: ReDIF-Article 1.0 Author-Name: Salam Salameh Shreem Author-X-Name-First: Salam Salameh Author-X-Name-Last: Shreem Author-Name: Salwani Abdullah Author-X-Name-First: Salwani Author-X-Name-Last: Abdullah Author-Name: Mohd Zakree Ahmad Nazri Author-X-Name-First: Mohd Zakree Ahmad Author-X-Name-Last: Nazri Title: Hybrid feature selection algorithm using symmetrical uncertainty and a harmony search algorithm Abstract: Microarray technology can be used as an efficient diagnostic system to recognise diseases such as tumours or to discriminate between different types of cancers in normal tissues. This technology has received increasing attention from the bioinformatics community because of its potential in designing powerful decision-making tools for cancer diagnosis. However, the presence of thousands or tens of thousands of genes affects the predictive accuracy of this technology from the perspective of classification. Thus, a key issue in microarray data is identifying or selecting the smallest possible set of genes from the input data that can achieve good predictive accuracy for classification. In this work, we propose a two-stage selection algorithm for gene selection problems in microarray data-sets called the symmetrical uncertainty filter and harmony search algorithm wrapper (SU-HSA). Experimental results show that the SU-HSA is better than HSA in isolation for all data-sets in terms of the accuracy and achieves a lower number of genes on 6 out of 10 instances. Furthermore, the comparison with state-of-the-art methods shows that our proposed approach is able to obtain 5 (out of 10) new best results in terms of the number of selected genes and competitive results in terms of the classification accuracy. Journal: International Journal of Systems Science Pages: 1312-1329 Issue: 6 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.924600 File-URL: http://hdl.handle.net/10.1080/00207721.2014.924600 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1312-1329 Template-Type: ReDIF-Article 1.0 Author-Name: Yung Kuan Foo Author-X-Name-First: Yung Kuan Author-X-Name-Last: Foo Author-Name: Maryam Moayedi Author-X-Name-First: Maryam Author-X-Name-Last: Moayedi Author-Name: Yeng Chai Soh Author-X-Name-First: Yeng Chai Author-X-Name-Last: Soh Title: Networked LQG control over lossy channels with computational/packet-transmission delays and coarsely quantised packets Abstract: This article addresses the linear quadratic Gaussian (LQG) control problem of networked multi-input, multi-output systems where computational delay exists and the measurement and control signals are packetised and transmitted through a network within which random delay and packet loss may occur during transmissions. A transmission control protocol (TCP)-like protocol for the communication network is considered in which acknowledgement is sent from the actuator to the controller if and only if the control packet is received, assuming these acknowledgements always reach the estimator in time and without fail. To minimise the data word-length for transmissions over the network and to maximise control system performance, it is proposed that different quantisation resolutions be used for transmission data encapsulation, and control and output signals A/D-D/A conversions at sensor/actuator. To circumvent the problem of disparity between encapsulation and A/D-D/A quantisation resolutions, a pseudo-stochastic approach via subtractive dither is applied to quantise the transmission packets. This also enables us to model the quantisation errors as uncorrelated independent zero-mean additive white noises and apply standard LQG methodology and separation principle to design the estimator and the controller separately. An example is included to demonstrate the effectiveness of the approach. Journal: International Journal of Systems Science Pages: 1330-1341 Issue: 6 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.924601 File-URL: http://hdl.handle.net/10.1080/00207721.2014.924601 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1330-1341 Template-Type: ReDIF-Article 1.0 Author-Name: Chao Ma Author-X-Name-First: Chao Author-X-Name-Last: Ma Author-Name: Jihong Ouyang Author-X-Name-First: Jihong Author-X-Name-Last: Ouyang Author-Name: Hui-Ling Chen Author-X-Name-First: Hui-Ling Author-X-Name-Last: Chen Author-Name: Jin-Chao Ji Author-X-Name-First: Jin-Chao Author-X-Name-Last: Ji Title: A novel kernel extreme learning machine algorithm based on self-adaptive artificial bee colony optimisation strategy Abstract: In this paper, we propose a novel learning algorithm, named SABC-MKELM, based on a kernel extreme learning machine (KELM) method for single-hidden-layer feedforward networks. In SABC-MKELM, the combination of Gaussian kernels is used as the activate function of KELM instead of simple fixed kernel learning, where the related parameters of kernels and the weights of kernels can be optimised by a novel self-adaptive artificial bee colony (SABC) approach simultaneously. SABC-MKELM outperforms six other state-of-the-art approaches in general, as it could effectively determine solution updating strategies and suitable parameters to produce a flexible kernel function involved in SABC. Simulations have demonstrated that the proposed algorithm not only self-adaptively determines suitable parameters and solution updating strategies learning from the previous experiences, but also achieves better generalisation performances than several related methods, and the results show good stability of the proposed algorithm. Journal: International Journal of Systems Science Pages: 1342-1357 Issue: 6 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.924602 File-URL: http://hdl.handle.net/10.1080/00207721.2014.924602 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1342-1357 Template-Type: ReDIF-Article 1.0 Author-Name: Ming Chi Author-X-Name-First: Ming Author-X-Name-Last: Chi Author-Name: Zhi-Hong Guan Author-X-Name-First: Zhi-Hong Author-X-Name-Last: Guan Author-Name: Xin-Ming Cheng Author-X-Name-First: Xin-Ming Author-X-Name-Last: Cheng Author-Name: Fu-Shun Yuan Author-X-Name-First: Fu-Shun Author-X-Name-Last: Yuan Title: Performance limitations for networked control systems with plant uncertainty Abstract: There has recently been significant interest in performance study for networked control systems with communication constraints. But the existing work mainly assumes that the plant has an exact model. The goal of this paper is to investigate the optimal tracking performance for networked control system in the presence of plant uncertainty. The plant under consideration is assumed to be non-minimum phase and unstable, while the two-parameter controller is employed and the integral square criterion is adopted to measure the tracking error. And we formulate the uncertainty by utilising stochastic embedding. The explicit expression of the tracking performance has been obtained. The results show that the network communication noise and the model uncertainty, as well as the unstable poles and non-minimum phase zeros, can worsen the tracking performance. Journal: International Journal of Systems Science Pages: 1358-1365 Issue: 6 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.924654 File-URL: http://hdl.handle.net/10.1080/00207721.2014.924654 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1358-1365 Template-Type: ReDIF-Article 1.0 Author-Name: Zongyu Zuo Author-X-Name-First: Zongyu Author-X-Name-Last: Zuo Author-Name: Lin Tie Author-X-Name-First: Lin Author-X-Name-Last: Tie Title: Distributed robust finite-time nonlinear consensus protocols for multi-agent systems Abstract: This paper investigates the robust finite-time consensus problem of multi-agent systems in networks with undirected topology. Global nonlinear consensus protocols augmented with a variable structure are constructed with the aid of Lyapunov functions for each single-integrator agent dynamics in the presence of external disturbances. In particular, it is shown that the finite settling time of the proposed general framework for robust consensus design is upper bounded for any initial condition. This makes it possible for network consensus problems to design and estimate the convergence time offline for a multi-agent team with a given undirected information flow. Finally, simulation results are presented to demonstrate the performance and effectiveness of our finite-time protocols. Journal: International Journal of Systems Science Pages: 1366-1375 Issue: 6 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.925608 File-URL: http://hdl.handle.net/10.1080/00207721.2014.925608 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1366-1375 Template-Type: ReDIF-Article 1.0 Author-Name: Hao Hu Author-X-Name-First: Hao Author-X-Name-Last: Hu Author-Name: Bin Jiang Author-X-Name-First: Bin Author-X-Name-Last: Jiang Author-Name: Hao Yang Author-X-Name-First: Hao Author-X-Name-Last: Yang Title: A new approach to robust reliable control for uncertain nonlinear systems Abstract: This paper focuses on the optimal robust reliable H∞ control for a class of uncertain nonlinear systems with actuator faults. A new method of annihilating uncertain matrix is proposed. Based on this approach, a new method of disposing of the phenomenon of uncertain matrices multiplication is provided. In accordance with the method, the optimal robust reliable H∞ control problem for uncertain nonlinear systems is settled by employing state feedback, in terms of linear matrix inequality (LMI). Finally, two illustrative examples are given to show the feasibility and validity of the proposed method. Journal: International Journal of Systems Science Pages: 1376-1383 Issue: 6 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.925624 File-URL: http://hdl.handle.net/10.1080/00207721.2014.925624 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1376-1383 Template-Type: ReDIF-Article 1.0 Author-Name: Changchun Hua Author-X-Name-First: Changchun Author-X-Name-Last: Hua Author-Name: Liuliu Zhang Author-X-Name-First: Liuliu Author-X-Name-Last: Zhang Author-Name: Xinping Guan Author-X-Name-First: Xinping Author-X-Name-Last: Guan Title: Reduced-order observer-based output feedback control of nonlinear time-delay systems with prescribed performance Abstract: This paper studies the problem of output feedback control for a class of nonlinear time-delay systems with prescribed performance. The system is in the form of triangular structure with unmodelled dynamics. First, we introduce a reduced-order observer to provide the estimate of the unmeasured states. Then, by setting a new condition with the performance function, we design the state transformation with prescribed performance control. By employing backstepping method, we construct the output feedback controller. It is proved that the resulting closed-loop system is asymptotically stable and both transient and steady-state performance of the output are preserved with the changing supply function idea. Finally, a simulation example is conducted to show the effectiveness of the main results. Journal: International Journal of Systems Science Pages: 1384-1393 Issue: 6 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.927937 File-URL: http://hdl.handle.net/10.1080/00207721.2014.927937 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1384-1393 Template-Type: ReDIF-Article 1.0 Author-Name: Gerardo Lara-Cisneros Author-X-Name-First: Gerardo Author-X-Name-Last: Lara-Cisneros Author-Name: José Alvarez-Ramírez Author-X-Name-First: José Author-X-Name-Last: Alvarez-Ramírez Author-Name: Ricardo Femat Author-X-Name-First: Ricardo Author-X-Name-Last: Femat Title: Self-optimising control for a class of continuous bioreactor via variable-structure feedback Abstract: A self-optimising controller is designed for stabilisation of a class of bioreactor exploiting sliding-mode techniques. The stability analysis for the class of bioreactor, in open-loop configuration, suggests that the optimal behaviour, respect to maximal biomass production, occurs in an unstable region (structurally unstable). In this contribution, a variable-structure controller is designed, exploiting the inhibitory effect of substrate concentration under the biomass growth rate, such that the closed-loop system reaches the optimal manifold where the effect induced by the growth rate gradient is compensated (favouring the maximum growth rate). The self-optimising comprises an uncertainty estimator which computes the unknown terms for increasing the robustness issues of the sliding-mode scheme. Numerical experiments illustrate the performance and execution of the control strategy considering different parameter values for biomass growth rate. The robustness and fragility of the proposed controller are also discussed with respect to the modelling uncertainty and small changes in the controller gains, respectively. Journal: International Journal of Systems Science Pages: 1394-1406 Issue: 6 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.927967 File-URL: http://hdl.handle.net/10.1080/00207721.2014.927967 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1394-1406 Template-Type: ReDIF-Article 1.0 Author-Name: Yong-bo Chen Author-X-Name-First: Yong-bo Author-X-Name-Last: Chen Author-Name: Guan-chen Luo Author-X-Name-First: Guan-chen Author-X-Name-Last: Luo Author-Name: Yue-song Mei Author-X-Name-First: Yue-song Author-X-Name-Last: Mei Author-Name: Jian-qiao Yu Author-X-Name-First: Jian-qiao Author-X-Name-Last: Yu Author-Name: Xiao-long Su Author-X-Name-First: Xiao-long Author-X-Name-Last: Su Title: UAV path planning using artificial potential field method updated by optimal control theory Abstract: The unmanned aerial vehicle (UAV) path planning problem is an important assignment in the UAV mission planning. Based on the artificial potential field (APF) UAV path planning method, it is reconstructed into the constrained optimisation problem by introducing an additional control force. The constrained optimisation problem is translated into the unconstrained optimisation problem with the help of slack variables in this paper. The functional optimisation method is applied to reform this problem into an optimal control problem. The whole transformation process is deduced in detail, based on a discrete UAV dynamic model. Then, the path planning problem is solved with the help of the optimal control method. The path following process based on the six degrees of freedom simulation model of the quadrotor helicopters is introduced to verify the practicability of this method. Finally, the simulation results show that the improved method is more effective in planning path. In the planning space, the length of the calculated path is shorter and smoother than that using traditional APF method. In addition, the improved method can solve the dead point problem effectively. Journal: International Journal of Systems Science Pages: 1407-1420 Issue: 6 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.929191 File-URL: http://hdl.handle.net/10.1080/00207721.2014.929191 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1407-1420 Template-Type: ReDIF-Article 1.0 Author-Name: Yi-Kuei Lin Author-X-Name-First: Yi-Kuei Author-X-Name-Last: Lin Author-Name: Cheng-Fu Huang Author-X-Name-First: Cheng-Fu Author-X-Name-Last: Huang Author-Name: Cheng-Ta Yeh Author-X-Name-First: Cheng-Ta Author-X-Name-Last: Yeh Title: Assessment of system reliability for a stochastic-flow distribution network with the spoilage property Abstract: In supply chain management, satisfying customer demand is the most concerned for the manager. However, the goods may rot or be spoilt during delivery owing to natural disasters, inclement weather, traffic accidents, collisions, and so on, such that the intact goods may not meet market demand. This paper concentrates on a stochastic-flow distribution network (SFDN), in which a node denotes a supplier, a transfer station, or a market, while a route denotes a carrier providing the delivery service for a pair of nodes. The available capacity of the carrier is stochastic because the capacity may be partially reserved by other customers. The addressed problem is to evaluate the system reliability, the probability that the SFDN can satisfy the market demand with the spoilage rate under the budget constraint from multiple suppliers to the customer. An algorithm is developed in terms of minimal paths to evaluate the system reliability along with a numerical example to illustrate the solution procedure. A practical case of fruit distribution is presented accordingly to emphasise the management implication of the system reliability. Journal: International Journal of Systems Science Pages: 1421-1432 Issue: 6 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.932466 File-URL: http://hdl.handle.net/10.1080/00207721.2014.932466 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1421-1432 Template-Type: ReDIF-Article 1.0 Author-Name: Hao Liu Author-X-Name-First: Hao Author-X-Name-Last: Liu Author-Name: Peng Shi Author-X-Name-First: Peng Author-X-Name-Last: Shi Author-Name: Hamid Reza Karimi Author-X-Name-First: Hamid Reza Author-X-Name-Last: Karimi Author-Name: Mohammed Chadli Author-X-Name-First: Mohammed Author-X-Name-Last: Chadli Title: Finite-time stability and stabilisation for a class of nonlinear systems with time-varying delay Abstract: This paper is concerned with the problems of finite-time stability (FTS) and finite-time stabilisation for a class of nonlinear systems with time-varying delay, which can be represented by Takagi–Sugeno fuzzy system. Some new delay-dependent FTS conditions are provided and applied to the design problem of finite-time fuzzy controllers. First, based on an integral inequality and a fuzzy Lyapunov–Krasovskii functional, a delay-dependent FTS criterion is proposed for open-loop fuzzy system by introducing some free fuzzy weighting matrices, which are less conservative than other existing ones. Then, the parallel distributed compensation controller is designed to ensure FTS of the time-delay fuzzy system. Finally, an example is given to illustrate the effectiveness of the proposed design approach. Journal: International Journal of Systems Science Pages: 1433-1444 Issue: 6 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.932467 File-URL: http://hdl.handle.net/10.1080/00207721.2014.932467 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1433-1444 Template-Type: ReDIF-Article 1.0 Author-Name: Shaobao Li Author-X-Name-First: Shaobao Author-X-Name-Last: Li Author-Name: Gang Feng Author-X-Name-First: Gang Author-X-Name-Last: Feng Author-Name: Juan Wang Author-X-Name-First: Juan Author-X-Name-Last: Wang Author-Name: Xiaoyuan Luo Author-X-Name-First: Xiaoyuan Author-X-Name-Last: Luo Author-Name: Xinping Guan Author-X-Name-First: Xinping Author-X-Name-Last: Guan Title: Cooperative linear output regulation for networked systems by dynamic measurement output feedback Abstract: This paper investigates the cooperative linear output regulation problem of a class of heterogeneous networked systems with a common reference input but with different disturbances for individual nodes. A novel distributed control law is presented based on dynamic measurement output feedback. It is shown that the overall networked closed-loop control system is asymptotically stable and the output regulation errors asymptotically approach zero as time goes to infinity under a sufficient and necessary condition. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed control law. Journal: International Journal of Systems Science Pages: 1445-1452 Issue: 6 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.932468 File-URL: http://hdl.handle.net/10.1080/00207721.2014.932468 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1445-1452 Template-Type: ReDIF-Article 1.0 Author-Name: Min-Sung Koo Author-X-Name-First: Min-Sung Author-X-Name-Last: Koo Author-Name: Ho-Lim Choi Author-X-Name-First: Ho-Lim Author-X-Name-Last: Choi Title: Dynamic gain control with a matrix inequality approach to uncertain systems with triangular and non-triangular nonlinearities Abstract: We consider the global regulation problem of uncertain systems with both triangular and non-triangular nonlinearities. For the global regulation in the presence of non-triangular nonlinearities, we propose a dynamic gain controller designed by using power order conditions and a matrix inequality condition imposed on non-triangular nonlinearities. Compared with the existing results, the proposed control method allows a class of nonlinear systems that have not been treated before. Analysis and examples are given to prove the general applicability of our control method. Journal: International Journal of Systems Science Pages: 1453-1464 Issue: 6 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.934749 File-URL: http://hdl.handle.net/10.1080/00207721.2014.934749 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1453-1464 Template-Type: ReDIF-Article 1.0 Author-Name: Wenle Zhang Author-X-Name-First: Wenle Author-X-Name-Last: Zhang Author-Name: Jianchang Liu Author-X-Name-First: Jianchang Author-X-Name-Last: Liu Title: Ultra-fast consensus of discrete-time multi-agent systems with multi-step predictive output feedback Abstract: This article addresses the ultra-fast consensus problem of high-order discrete-time multi-agent systems based on a unified consensus framework. A novel multi-step predictive output mechanism is proposed under a directed communication topology containing a spanning tree. By predicting the outputs of a network several steps ahead and adding this information into the consensus protocol, it is shown that the asymptotic convergence factor is improved by a power of q + 1 compared to the routine consensus. The difficult problem of selecting the optimal control gain is solved well by introducing a variable called convergence step. In addition, the ultra-fast formation achievement is studied on the basis of this new consensus protocol. Finally, the ultra-fast consensus with respect to a reference model and robust consensus is discussed. Some simulations are performed to illustrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 1465-1479 Issue: 6 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.935014 File-URL: http://hdl.handle.net/10.1080/00207721.2014.935014 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1465-1479 Template-Type: ReDIF-Article 1.0 Author-Name: Lihao Lu Author-X-Name-First: Lihao Author-X-Name-Last: Lu Author-Name: Jianxiong Zhang Author-X-Name-First: Jianxiong Author-X-Name-Last: Zhang Author-Name: Wansheng Tang Author-X-Name-First: Wansheng Author-X-Name-Last: Tang Title: Optimal dynamic pricing and replenishment policy for perishable items with inventory-level-dependent demand Abstract: An inventory system for perishable items with limited replenishment capacity is introduced in this paper. The demand rate depends on the stock quantity displayed in the store as well as the sales price. With the goal to realise profit maximisation, an optimisation problem is addressed to seek for the optimal joint dynamic pricing and replenishment policy which is obtained by solving the optimisation problem with Pontryagin’s maximum principle. A joint mixed policy, in which the sales price is a static decision variable and the replenishment rate remains to be a dynamic decision variable, is presented to compare with the joint dynamic policy. Numerical results demonstrate the advantages of the joint dynamic one, and further show the effects of different system parameters on the optimal joint dynamic policy and the maximal total profit. Journal: International Journal of Systems Science Pages: 1480-1494 Issue: 6 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.938784 File-URL: http://hdl.handle.net/10.1080/00207721.2014.938784 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:6:p:1480-1494 Template-Type: ReDIF-Article 1.0 Author-Name: Wenling Li Author-X-Name-First: Wenling Author-X-Name-Last: Li Author-Name: Yingmin Jia Author-X-Name-First: Yingmin Author-X-Name-Last: Jia Author-Name: Junping Du Author-X-Name-First: Junping Author-X-Name-Last: Du Author-Name: Jun Zhang Author-X-Name-First: Jun Author-X-Name-Last: Zhang Title: Distributed multiple model estimation for jump Markov linear systems with missing measurements Abstract: This paper is concerned with distributed multiple model estimation for jump Markov linear systems with missing measurements over a sensor network. Two independent Markov chains are used to describe the switching of dynamic models and the missing of measurements, respectively. Under the assumption that each sensor can only communicate with its neighbours, a distributed filter is developed by applying the basic interacting multiple model (IMM) approach in the Bayesian estimation framework. To circumvent the difficulty of exponentially growing filters by exchanging local measurements between neighbouring sensors, the mode-conditioned estimates are exchanged instead of local measurements and the covariance intersection method is adopted to fuse mode-conditioned estimates. A multi-sensor manoeuvering target tracking example is provided to verify the effectiveness of the proposed filter. Journal: International Journal of Systems Science Pages: 1484-1495 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2013.822129 File-URL: http://hdl.handle.net/10.1080/00207721.2013.822129 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1484-1495 Template-Type: ReDIF-Article 1.0 Author-Name: Michael Basin Author-X-Name-First: Michael Author-X-Name-Last: Basin Author-Name: Pablo Rodriguez-Ramirez Author-X-Name-First: Pablo Author-X-Name-Last: Rodriguez-Ramirez Title: Mean-square filter design for stochastic polynomial systems with Gaussian and Poisson noises Abstract: This paper addresses the mean-square finite-dimensional filtering problem for polynomial system states with both, Gaussian and Poisson, white noises over linear observations. A constructive procedure is established to design the mean-square filtering equations for system states described by polynomial equations of an arbitrary finite degree. An explicit closed form of the designed filter is obtained in case of a third-order polynomial system. The theoretical result is complemented with an illustrative example verifying performance of the designed filter. Journal: International Journal of Systems Science Pages: 1473-1483 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2013.827265 File-URL: http://hdl.handle.net/10.1080/00207721.2013.827265 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1473-1483 Template-Type: ReDIF-Article 1.0 Author-Name: Zhaoxia Duan Author-X-Name-First: Zhaoxia Author-X-Name-Last: Duan Author-Name: Zhengrong Xiang Author-X-Name-First: Zhengrong Author-X-Name-Last: Xiang Author-Name: Hamid Reza Karimi Author-X-Name-First: Hamid Reza Author-X-Name-Last: Karimi Title: Robust stabilisation of 2D state-delayed stochastic systems with randomly occurring uncertainties and nonlinearities Abstract: This paper is concerned with the state feedback control problem for a class of two-dimensional (2D) discrete-time stochastic systems with time-delays, randomly occurring uncertainties and nonlinearities. Both the sector-like nonlinearities and the norm-bounded uncertainties enter into the system in random ways, and such randomly occurring uncertainties and nonlinearities obey certain mutually uncorrelated Bernoulli random binary distribution laws. Sufficient computationally tractable linear matrix inequality–based conditions are established for the 2D nonlinear stochastic time-delay systems to be asymptotically stable in the mean-square sense, and then the explicit expression of the desired controller gains is derived. An illustrative example is provided to show the usefulness and effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1402-1415 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2013.835004 File-URL: http://hdl.handle.net/10.1080/00207721.2013.835004 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1402-1415 Template-Type: ReDIF-Article 1.0 Author-Name: Yonghui Liu Author-X-Name-First: Yonghui Author-X-Name-Last: Liu Author-Name: Yugang Niu Author-X-Name-First: Yugang Author-X-Name-Last: Niu Author-Name: Yuan Hu Author-X-Name-First: Yuan Author-X-Name-Last: Hu Title: Sliding mode control for switched systems subject to successive packet dropout Abstract: In this work, the problem of sliding mode control is considered for a class of uncertain switched systems in which the data dropout may happen when the state information is transmitted from the sensor to the controller. Besides, the input matrix for each subsystem is not necessarily the same. First, a common sliding surface depending on dropout probability is constructed by means of a weighted sum approach of the input matrices. And then, a sliding mode controller based on the estimator of the lost signal is designed. It is shown that both the reachability of sliding surface and the stability of sliding mode dynamics can be guaranteed, simultaneously. Finally, a numerical simulation example is given to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1337-1345 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2013.835005 File-URL: http://hdl.handle.net/10.1080/00207721.2013.835005 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1337-1345 Template-Type: ReDIF-Article 1.0 Author-Name: Yanling Wei Author-X-Name-First: Yanling Author-X-Name-Last: Wei Author-Name: Jianbin Qiu Author-X-Name-First: Jianbin Author-X-Name-Last: Qiu Author-Name: Hamid Reza Karimi Author-X-Name-First: Hamid Reza Author-X-Name-Last: Karimi Author-Name: Mao Wang Author-X-Name-First: Mao Author-X-Name-Last: Wang Title: model reduction for continuous-time Markovian jump systems with incomplete statistics of mode information Abstract: This paper investigates the problem of H∞H∞$\mathscr {H}_{\infty }$ model reduction for a class of continuous-time Markovian jump linear systems with incomplete statistics of mode information, which simultaneously considers the exactly known, partially unknown and uncertain transition rates. By fully utilising the properties of transition rate matrices, together with the convexification of uncertain domains, a new sufficient condition for H∞H∞$\mathscr {H}_{\infty }$ performance analysis is first derived, and then two approaches, namely, the convex linearisation approach and the iterative approach, are developed to solve the model reduction problem. It is shown that the desired reduced-order models can be obtained by solving a set of strict linear matrix inequalities (LMIs) or a sequential minimisation problem subject to LMI constraints, which are numerically efficient with commercially available software. Finally, an illustrative example is given to show the effectiveness of the proposed design methods. Journal: International Journal of Systems Science Pages: 1496-1507 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2013.837545 File-URL: http://hdl.handle.net/10.1080/00207721.2013.837545 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1496-1507 Template-Type: ReDIF-Article 1.0 Author-Name: J. Salt Author-X-Name-First: J. Author-X-Name-Last: Salt Author-Name: V. Casanova Author-X-Name-First: V. Author-X-Name-Last: Casanova Author-Name: A. Cuenca Author-X-Name-First: A. Author-X-Name-Last: Cuenca Author-Name: R. Pizá Author-X-Name-First: R. Author-X-Name-Last: Pizá Title: Multirate control with incomplete information over Profibus-DP network Abstract: When a process field bus-decentralized peripherals (Profibus-DP) network is used in an industrial environment, a deterministic behaviour is usually claimed. However, due to some concerns such as bandwidth limitations, lack of synchronisation among different clocks and existence of time-varying delays, a more complex problem must be faced. This problem implies the transmission of irregular and, even, random sequences of incomplete information. The main consequence of this issue is the appearance of different sampling periods at different network devices. In this paper, this aspect is checked by means of a detailed Profibus-DP timescale study. In addition, in order to deal with the different periods, a delay-dependent dual-rate proportional-integral-derivative control is introduced. Stability for the proposed control system is analysed in terms of linear matrix inequalities. Journal: International Journal of Systems Science Pages: 1589-1605 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2013.844286 File-URL: http://hdl.handle.net/10.1080/00207721.2013.844286 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1589-1605 Template-Type: ReDIF-Article 1.0 Author-Name: L. Jarina Banu Author-X-Name-First: L. Jarina Author-X-Name-Last: Banu Author-Name: P. Balasubramaniam Author-X-Name-First: P. Author-X-Name-Last: Balasubramaniam Title: Synchronisation of discrete-time complex networks with randomly occurring uncertainties, nonlinearities and time-delays Abstract: This paper deals with the synchronisation problem for an array of coupled complex discrete-time networks with the presence of randomly occurring information. The time-varying delays, parameter uncertainties and nonlinearities enter into the system in a random way and such randomly occurring time-delays, randomly occurring uncertainties and randomly occurring sector-like nonlinearities obey certain mutually uncorrelated Bernoulli-distributed white-noise sequences. By employing direct delay decomposition approach and constructing suitable Lyapunov–Krasovskii functional, sufficient conditions are established to ensure the synchronisation criteria for the complex networks with randomly occurring information in terms of linear matrix inequalities. Finally, in numerical examples, synchronisation of Barabàsi Albert scale-free networks and chaotic synchronisation of Lorenz system are rendered to exemplify the effectiveness and applicability of the proposed results. Journal: International Journal of Systems Science Pages: 1427-1450 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2013.844287 File-URL: http://hdl.handle.net/10.1080/00207721.2013.844287 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1427-1450 Template-Type: ReDIF-Article 1.0 Author-Name: Yurong Liu Author-X-Name-First: Yurong Author-X-Name-Last: Liu Author-Name: Yamin Wang Author-X-Name-First: Yamin Author-X-Name-Last: Wang Author-Name: Xinquan Zhu Author-X-Name-First: Xinquan Author-X-Name-Last: Zhu Author-Name: Xiaohui Liu Author-X-Name-First: Xiaohui Author-X-Name-Last: Liu Title: Optimal guaranteed cost control of a class of hybrid systems with mode-dependent mixed time delays Abstract: In this paper, the guaranteed cost control problem is investigated for a class of nonlinear systems with Markovian jumping parameters and mixed time delays. The time delays involved consist of the mode-dependent discrete time delay and the distributed time delay with mode-dependent upper and lower boundaries; the associated cost function is a quadratic function, and nonlinear functions are assumed to satisfy sector-bounded conditions. By introducing new Lyapunov–Krasovskii functionals and some analytic techniques, the sufficient conditions for the existence of guaranteed cost controllers are derived for the systems and related cost function. Moreover, a linear matrix inequality (LMI) based approach to design the optimal guaranteed cost controller is formulated to minimise the guaranteed cost of the closed-loop system. Numerical simulation is further carried out to demonstrate the effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 1528-1538 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2013.849775 File-URL: http://hdl.handle.net/10.1080/00207721.2013.849775 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1528-1538 Template-Type: ReDIF-Article 1.0 Author-Name: Lifeng Ma Author-X-Name-First: Lifeng Author-X-Name-Last: Ma Author-Name: Yuming Bo Author-X-Name-First: Yuming Author-X-Name-Last: Bo Author-Name: Xiaohui Liu Author-X-Name-First: Xiaohui Author-X-Name-Last: Liu Author-Name: Zhi Guo Author-X-Name-First: Zhi Author-X-Name-Last: Guo Title: Reliable control for a class of nonlinear time-varying stochastic systems with randomly occurring sensor failures Abstract: This paper is concerned with the reliable H∞${\mathcal {H}}_\infty$ control problem for a class of nonlinear stochastic systems subject to possible sensor failures. The sensor failures are assumed to happen in a random way, namely, randomly occurring sensor failures (ROSF), and the failure probability is governed by a random variable obeying the Bernoulli distribution. The stochastic nonlinearities described by statistical means could cover several types of well-studied stochastic nonlinearities. The purpose of this problem is to design an output feedback controller such that the closed-loop system meets the desired H∞${\mathcal {H}}_\infty$ performance over a finite horizon. Sufficient condition for the existence of the desired controller is given, where the feedback gains at each time point k can be obtained by solving certain convex optimisation problems iteratively. A numerical computing algorithm is presented, and then a simulation example is given to illustrate the effectiveness and applicability of the proposed algorithm. Journal: International Journal of Systems Science Pages: 1383-1392 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2013.859331 File-URL: http://hdl.handle.net/10.1080/00207721.2013.859331 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1383-1392 Template-Type: ReDIF-Article 1.0 Author-Name: Cong Zhang Author-X-Name-First: Cong Author-X-Name-Last: Zhang Author-Name: Zhihua Xiong Author-X-Name-First: Zhihua Author-X-Name-Last: Xiong Author-Name: Hao Ye Author-X-Name-First: Hao Author-X-Name-Last: Ye Title: Informative conditions for the data set in an MIMO networked control system with delays, packet dropout and transmission scheduling Abstract: In system identification, a data set needs to be informative to guarantee that the identification criterion has a unique global minimum asymptotically and the parameter estimation is consistent. In this paper, we study the informativity of the data set in a multiple-input and multiple-output (MIMO) networked control system (NCS), which contains possible network-induced delays, packet dropout, transmission scheduling, or a combination of these factors in network transmission. Moreover, to guarantee the data set of this MIMO NCS to be informative, a group of conditions for network transmission and controller's proportional term are developed. Finally, simulation studies are given to illustrate the result. Journal: International Journal of Systems Science Pages: 1346-1355 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2013.860203 File-URL: http://hdl.handle.net/10.1080/00207721.2013.860203 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1346-1355 Template-Type: ReDIF-Article 1.0 Author-Name: Lei Zhang Author-X-Name-First: Lei Author-X-Name-Last: Zhang Author-Name: Yongsheng Ding Author-X-Name-First: Yongsheng Author-X-Name-Last: Ding Author-Name: Kuangrong Hao Author-X-Name-First: Kuangrong Author-X-Name-Last: Hao Author-Name: Liangjian Hu Author-X-Name-First: Liangjian Author-X-Name-Last: Hu Author-Name: Tong Wang Author-X-Name-First: Tong Author-X-Name-Last: Wang Title: Moment stability of fractional stochastic evolution equations with Poisson jumps Abstract: Fractional differential equations have wide applications in science and engineering. In this paper, we consider a class of fractional stochastic partial differential equations with Poisson jumps. Sufficient conditions for the existence and asymptotic stability in pth moment of mild solutions are derived by employing the Banach fixed point principle. Further, we extend the result to study the asymptotic stability of fractional systems with Poisson jumps. An example is provided to illustrate the effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 1539-1547 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2013.860642 File-URL: http://hdl.handle.net/10.1080/00207721.2013.860642 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1539-1547 Template-Type: ReDIF-Article 1.0 Author-Name: Vasile Dragan Author-X-Name-First: Vasile Author-X-Name-Last: Dragan Title: Robust stabilisation of discrete-time time-varying linear systems with Markovian switching and nonlinear parametric uncertainties Abstract: In this paper, the problem of the robustness of the stability of a discrete-time linear stochastic system is addressed. The nominal plant is described by a discrete-time time-varying linear system subject to random jumping according with a non-homogeneous Markov chain with a finite number of states. The class of admissible uncertainties consists of multiplicative white noise type perturbations with unknown intensity. It is assumed that the intensity of white noise type perturbations is modelled by unknown nonlinear functions subject to linear growth conditions. The class of admissible controls consists of stabilising state feedback control laws. We show that the best robustness performance is achieved by the stability provided by a state feedback design based on the stabilising solution of a suitable discrete-time Riccati-type equation. Journal: International Journal of Systems Science Pages: 1508-1517 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2013.860643 File-URL: http://hdl.handle.net/10.1080/00207721.2013.860643 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1508-1517 Template-Type: ReDIF-Article 1.0 Author-Name: Zhou Gu Author-X-Name-First: Zhou Author-X-Name-Last: Gu Author-Name: Shumin Fei Author-X-Name-First: Shumin Author-X-Name-Last: Fei Author-Name: Dong Yue Author-X-Name-First: Dong Author-X-Name-Last: Yue Author-Name: Engang Tian Author-X-Name-First: Engang Author-X-Name-Last: Tian Title: filtering for discrete-time systems subject to stochastic missing measurements: a decomposition approach Abstract: This paper deals with the problem of H∞ filtering for discrete-time systems with stochastic missing measurements. A new missing measurement model is developed by decomposing the interval of the missing rate into several segments. The probability of the missing rate in each subsegment is governed by its corresponding random variables. We aim to design a linear full-order filter such that the estimation error converges to zero exponentially in the mean square with a less conservatism while the disturbance rejection attenuation is constrained to a given level by means of an H∞ performance index. Based on Lyapunov theory, the reliable filter parameters are characterised in terms of the feasibility of a set of linear matrix inequalities. Finally, a numerical example is provided to demonstrate the effectiveness and applicability of the proposed design approach. Journal: International Journal of Systems Science Pages: 1356-1363 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2013.871372 File-URL: http://hdl.handle.net/10.1080/00207721.2013.871372 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1356-1363 Template-Type: ReDIF-Article 1.0 Author-Name: M. Hernandez-Gonzalez Author-X-Name-First: M. Author-X-Name-Last: Hernandez-Gonzalez Author-Name: M.V. Basin Author-X-Name-First: M.V. Author-X-Name-Last: Basin Title: Discrete-time filtering for nonlinear polynomial systems over linear observations Abstract: This paper designs a discrete-time filter for nonlinear polynomial systems driven by additive white Gaussian noises over linear observations. The solution is obtained by computing the time-update and measurement-update equations for the state estimate and the error covariance matrix. A closed form of this filter is obtained by expressing the conditional expectations of polynomial terms as functions of the estimate and the error covariance. As a particular case, a third-degree polynomial is considered to obtain the finite-dimensional filtering equations. Numerical simulations are performed for a third-degree polynomial system and an induction motor model. Performance of the designed filter is compared with the extended Kalman one to verify its effectiveness. Journal: International Journal of Systems Science Pages: 1461-1472 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2013.876681 File-URL: http://hdl.handle.net/10.1080/00207721.2013.876681 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1461-1472 Template-Type: ReDIF-Article 1.0 Author-Name: Zhen’na Li Author-X-Name-First: Zhen’na Author-X-Name-Last: Li Author-Name: Huisheng Shu Author-X-Name-First: Huisheng Author-X-Name-Last: Shu Author-Name: Xiu Kan Author-X-Name-First: Xiu Author-X-Name-Last: Kan Title: fault detection with randomly occurring nonlinearities and channel fadings Abstract: In this paper, the H∞ fault detection problem is investigated for a class of discrete-time stochastic systems with both channel fadings and randomly occurring nonlinearities. Due to Doppler effect and multi-path delays, channel fadings are inevitable and also cause unpredictable dynamic behaviour. The Lth Rice fadings model, which is accounted for both channel fadings and time delays, can be employed to describe this phenomenon. Meanwhile, by using a Bernoulli distributed white sequence, a kind of non-linear disturbance appearing in a random way is also considered in the H∞ fault detection issue. The purpose of the addressed problem is to design a fault detection filter such that, in the presence of channel fadings, the overall fault detection dynamics is stochastically stable and, at the same time, the error between the residual (generated by the fault detection filter) and the fault signal is made as small as possible. By utilising the Lyapunov stability theory associated with the intensive stochastic analysis techniques, sufficient conditions are established under which the addressed H∞ fault detection problem is recast as solving a convex optimisation problem via the semi-definite programme method. Finally, a simulation example is exploited to show the effectiveness of the method proposed in this paper. Journal: International Journal of Systems Science Pages: 1416-1426 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2013.876682 File-URL: http://hdl.handle.net/10.1080/00207721.2013.876682 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1416-1426 Template-Type: ReDIF-Article 1.0 Author-Name: Utsaw Kumar Author-X-Name-First: Utsaw Author-X-Name-Last: Kumar Author-Name: Jie Liu Author-X-Name-First: Jie Author-X-Name-Last: Liu Author-Name: Vijay Gupta Author-X-Name-First: Vijay Author-X-Name-Last: Gupta Author-Name: J. Nicholas Laneman Author-X-Name-First: J. Nicholas Author-X-Name-Last: Laneman Title: Improving control performance across AWGN channels using a relay node Abstract: Consider an unstable linear time-invariant system in which the sensor transmits information to a controller across an additive white Gaussian noise channel. The designer can optionally utilise a relay node to assist the controller; however, the total transmission power consumed by the sensor and the relay node is constant. We consider two topologies: (1) a Gaussian relay channel and (2) a cascade of two Gaussian point-to-point channels. We propose coding schemes and present sufficient conditions for the stabilisability of the plant through such schemes. The analysis suggests that it is useful to utilise a relay node, even if the total transmission power remains the same. Journal: International Journal of Systems Science Pages: 1579-1588 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2013.876683 File-URL: http://hdl.handle.net/10.1080/00207721.2013.876683 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1579-1588 Template-Type: ReDIF-Article 1.0 Author-Name: Xin Wang Author-X-Name-First: Xin Author-X-Name-Last: Wang Author-Name: Edwin E. Yaz Author-X-Name-First: Edwin E. Author-X-Name-Last: Yaz Title: Stochastically resilient extended Kalman filtering for discrete-time nonlinear systems with sensor failures Abstract: Missing sensor data is a common problem, which severely influences the overall performance of modern data-intensive control and computing applications. In order to address this important issue, a novel resilient extended Kalman filter is proposed for discrete-time nonlinear stochastic systems with sensor failures and random observer gain perturbations. The failure mechanisms of multiple sensors are assumed to be independent of each other with different failure rates. The locally unbiased robust minimum mean square filter is designed for state estimation under these conditions. The performance of the proposed estimation method is verified by means of numerical Monte Carlo simulation of two different nonlinear stochastic systems, involving a sinusoidal system and a Lorenz oscillator system. Journal: International Journal of Systems Science Pages: 1393-1401 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2013.879257 File-URL: http://hdl.handle.net/10.1080/00207721.2013.879257 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1393-1401 Template-Type: ReDIF-Article 1.0 Author-Name: Jinliang Liu Author-X-Name-First: Jinliang Author-X-Name-Last: Liu Author-Name: Jie Cao Author-X-Name-First: Jie Author-X-Name-Last: Cao Author-Name: Zhiang Wu Author-X-Name-First: Zhiang Author-X-Name-Last: Wu Author-Name: Qiong Qi Author-X-Name-First: Qiong Author-X-Name-Last: Qi Title: State estimation for complex systems with randomly occurring nonlinearities and randomly missing measurements Abstract: This paper is concerned with the state estimation problem for the complex networked systems with randomly occurring nonlinearities and randomly missing measurements. The nonlinearities are included to describe the phenomena of nonlinear disturbances which exist in the network and may occur in a probabilistic way. Considering the fact that probabilistic data missing may occur in the process of information transmission, we introduce the randomly data missing into the sensor measurements. The aim of this paper is to design a state estimator to estimate the true states of the considered complex network through the available output measurements. By using a Lyapunov functional and some stochastic analysis techniques, sufficient criteria are obtained in the form of linear matrix inequalities under which the estimation error dynamics is globally asymptotically stable in the mean square. Furthermore, the state estimator gain is also obtained. Finally, a numerical example is employed to illustrate the effectiveness of the proposed state estimation conditions. Journal: International Journal of Systems Science Pages: 1364-1374 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2014.880200 File-URL: http://hdl.handle.net/10.1080/00207721.2014.880200 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1364-1374 Template-Type: ReDIF-Article 1.0 Author-Name: Zidong Wang Author-X-Name-First: Zidong Author-X-Name-Last: Wang Author-Name: Yugang Niu Author-X-Name-First: Yugang Author-X-Name-Last: Niu Author-Name: Bo Shen Author-X-Name-First: Bo Author-X-Name-Last: Shen Title: Analysis and control with randomly occurring incomplete information Journal: International Journal of Systems Science Pages: 1333-1336 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2014.883152 File-URL: http://hdl.handle.net/10.1080/00207721.2014.883152 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1333-1336 Template-Type: ReDIF-Article 1.0 Author-Name: Shen Yin Author-X-Name-First: Shen Author-X-Name-Last: Yin Author-Name: Guang Wang Author-X-Name-First: Guang Author-X-Name-Last: Wang Author-Name: Xu Yang Author-X-Name-First: Xu Author-X-Name-Last: Yang Title: Robust PLS approach for KPI-related prediction and diagnosis against outliers and missing data Abstract: In practical industrial applications, the key performance indicator (KPI)-related prediction and diagnosis are quite important for the product quality and economic benefits. To meet these requirements, many advanced prediction and monitoring approaches have been developed which can be classified into model-based or data-driven techniques. Among these approaches, partial least squares (PLS) is one of the most popular data-driven methods due to its simplicity and easy implementation in large-scale industrial process. As PLS is totally based on the measured process data, the characteristics of the process data are critical for the success of PLS. Outliers and missing values are two common characteristics of the measured data which can severely affect the effectiveness of PLS. To ensure the applicability of PLS in practical industrial applications, this paper introduces a robust version of PLS to deal with outliers and missing values, simultaneously. The effectiveness of the proposed method is finally demonstrated by the application results of the KPI-related prediction and diagnosis on an industrial benchmark of Tennessee Eastman process. Journal: International Journal of Systems Science Pages: 1375-1382 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2014.886136 File-URL: http://hdl.handle.net/10.1080/00207721.2014.886136 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1375-1382 Template-Type: ReDIF-Article 1.0 Author-Name: Dongkai Zhang Author-X-Name-First: Dongkai Author-X-Name-Last: Zhang Author-Name: Chaoli Wang Author-X-Name-First: Chaoli Author-X-Name-Last: Wang Author-Name: Guoliang Wei Author-X-Name-First: Guoliang Author-X-Name-Last: Wei Author-Name: Hengjun Zhang Author-X-Name-First: Hengjun Author-X-Name-Last: Zhang Author-Name: Hua Chen Author-X-Name-First: Hua Author-X-Name-Last: Chen Title: State-feedback stabilisation for stochastic non-holonomic mobile robots with uncertain visual servoing parameters Abstract: The stabilising problem of stochastic non-holonomic mobile robots with uncertain parameters based on visual servoing is addressed in this paper. The model of non-holonomic mobile robots based on visual servoing is extended to the stochastic case, where their forward velocity and angular velocity are both subject to some stochastic disturbances. Based on backstepping technique, state-feedback stabilising controllers are designed for stochastic non-holonomic mobile robots. A switching control strategy for the original system is presented. The proposed controllers guarantee that the closed-loop system is asymptotically stabilised at the zero equilibrium point in probability. Journal: International Journal of Systems Science Pages: 1451-1460 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2014.891675 File-URL: http://hdl.handle.net/10.1080/00207721.2014.891675 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1451-1460 Template-Type: ReDIF-Article 1.0 Author-Name: J. Linares-Pérez Author-X-Name-First: J. Author-X-Name-Last: Linares-Pérez Author-Name: R. Caballero-Águila Author-X-Name-First: R. Author-X-Name-Last: Caballero-Águila Author-Name: I. García-Garrido Author-X-Name-First: I. Author-X-Name-Last: García-Garrido Title: Optimal linear filter design for systems with correlation in the measurement matrices and noises: recursive algorithm and applications Abstract: This paper addresses the optimal least-squares linear estimation problem for a class of discrete-time stochastic systems with random parameter matrices and correlated additive noises. The system presents the following main features: (1) one-step correlated and cross-correlated random parameter matrices in the observation equation are assumed; (2) the process and measurement noises are one-step autocorrelated and two-step cross-correlated. Using an innovation approach and these correlation assumptions, a recursive algorithm with a simple computational procedure is derived for the optimal linear filter. As a significant application of the proposed results, the optimal recursive filtering problem in multi-sensor systems with missing measurements and random delays can be addressed. Numerical simulation examples are used to demonstrate the feasibility of the proposed filtering algorithm, which is also compared with other filters that have been proposed. Journal: International Journal of Systems Science Pages: 1548-1562 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2014.909093 File-URL: http://hdl.handle.net/10.1080/00207721.2014.909093 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1548-1562 Template-Type: ReDIF-Article 1.0 Author-Name: Abdelfettah Hocine Author-X-Name-First: Abdelfettah Author-X-Name-Last: Hocine Author-Name: Mohammed Chadli Author-X-Name-First: Mohammed Author-X-Name-Last: Chadli Author-Name: Hamid Reza Karimi Author-X-Name-First: Hamid Reza Author-X-Name-Last: Karimi Title: A structured filter for Markovian switching systems Abstract: In this work, a new methodology for the structuring of multiple model estimation schemas is developed. The proposed filter is applied to the estimation and detection of active mode in dynamic systems. The discrete-time Markovian switching systems represented by several linear models, associated with a particular operating mode, are studied. Therefore, the main idea of this work is the subdivision of the models set to some subsets in order to improve the detection and estimation performances. Each subset is associated with sub-estimators based on models of the subset. In order to compute the global estimate and subset probabilities, a global estimator is proposed. Theoretical developments based on a hierarchical decision, leading to more efficiency in detection and state estimation, are proposed. Naturally, these results can be used for fault detection and isolation, using the activation probabilities of operating modes. These results are applied to detect switches in the centre of gravity for vehicle roll dynamics. Journal: International Journal of Systems Science Pages: 1518-1527 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2014.909094 File-URL: http://hdl.handle.net/10.1080/00207721.2014.909094 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1518-1527 Template-Type: ReDIF-Article 1.0 Author-Name: Araz Hashemi Author-X-Name-First: Araz Author-X-Name-Last: Hashemi Author-Name: Ben Fitzpatrick Author-X-Name-First: Ben Author-X-Name-Last: Fitzpatrick Author-Name: Le Yi Wang Author-X-Name-First: Le Yi Author-X-Name-Last: Wang Author-Name: George Yin Author-X-Name-First: George Author-X-Name-Last: Yin Title: Robust noise attenuation under stochastic noises and worst-case unmodelled dynamics Abstract: This paper investigates noise attenuation problems for systems with unmodelled dynamics and unknown noise characteristics. A unique methodology is introduced that employs signal estimation in one phase, followed by control design for noise rejection. The methodology enjoys certain advantages in its simple control design process, accommodation of unmodelled dynamics, and non-conservative noise rejection performance. Under mild information on unmodelled dynamics, we first derive robust performance bounds on noise attenuation with respect to unmodelled dynamics without noise estimation errors. Then more general results are presented for systems that are subject to both stochastic signal estimation errors and unmodelled dynamics. Examples are also presented to demonstrate our findings. Journal: International Journal of Systems Science Pages: 1563-1578 Issue: 7 Volume: 45 Year: 2014 Month: 7 X-DOI: 10.1080/00207721.2014.916481 File-URL: http://hdl.handle.net/10.1080/00207721.2014.916481 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1563-1578 Template-Type: ReDIF-Article 1.0 Author-Name: Seong Kwak Author-X-Name-First: Seong Author-X-Name-Last: Kwak Author-Name: Jung-Min Yang Author-X-Name-First: Jung-Min Author-X-Name-Last: Yang Title: Probabilistic optimisation of checkpoint intervals for real-time multi-tasks Abstract: This article considers the checkpoint placement problem for real-time systems. In our environment, multiple real-time tasks with arbitrary periods are scheduled in the system by the rate monotonic algorithm, and checkpoints are inserted at a constant interval in each task while the width of the interval is different with respect to the task. We derive an explicit formula of the probability that all the tasks are successfully completed with a given set of checkpoint intervals. Then we determine the optimal checkpoint intervals that maximise the probability of task completion. The probability computation includes the schedulability analysis with respect to the numbers of re-executed checkpoint intervals. Our method does not necessitate any algebraic condition on the periods of the scheduled tasks. Journal: International Journal of Systems Science Pages: 595-603 Issue: 4 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.617890 File-URL: http://hdl.handle.net/10.1080/00207721.2011.617890 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:4:p:595-603 Template-Type: ReDIF-Article 1.0 Author-Name: Zu-Xin Li Author-X-Name-First: Zu-Xin Author-X-Name-Last: Li Author-Name: Hong-Ye Su Author-X-Name-First: Hong-Ye Author-X-Name-Last: Su Author-Name: Yong Gu Author-X-Name-First: Yong Author-X-Name-Last: Gu Author-Name: Zheng-Guang Wu Author-X-Name-First: Zheng-Guang Author-X-Name-Last: Wu Title: filtering for discrete-time singular networked systems with communication delays and data missing Abstract: In this article, the problem of H∞ filter design is investigated for discrete-time singular networked systems with both multiple stochastic time-varying communication delays and probabilistic missing measurements. Two kinds of stochastic time-varying communication delays, namely stochastic discrete delays and stochastic distributed delays, are simultaneously considered. The purpose of the addressed filtering problem is to design a filter such that, for the admissible random measurement missing and communication delays, the filtering error dynamics is asymptotically stable in the mean square with a prescribed H∞ performance index. In terms of linear matrix inequality (LMI) method, a sufficient condition is established that ensures the asymptotical stability in the mean square with a prescribed H∞ performance index of the filtering error dynamics and then the filter parameters are characterised by the solution to an LMI. A numerical example is introduced to demonstrate the effectiveness of the proposed design procedures. Journal: International Journal of Systems Science Pages: 604-614 Issue: 4 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.617892 File-URL: http://hdl.handle.net/10.1080/00207721.2011.617892 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:4:p:604-614 Template-Type: ReDIF-Article 1.0 Author-Name: Ruicheng Ma Author-X-Name-First: Ruicheng Author-X-Name-Last: Ma Author-Name: Jun Zhao Author-X-Name-First: Jun Author-X-Name-Last: Zhao Author-Name: Georgi Dimirovski Author-X-Name-First: Georgi Author-X-Name-Last: Dimirovski Title: Backstepping design for global robust stabilisation of switched nonlinear systems in lower triangular form Abstract: This article deals with the global robust stabilisation for a class of switched nonlinear systems under arbitrary switchings. The system under consideration is in lower triangular form and contains uncertainty. Both common Lyapunov function and state feedback controller are simultaneously constructed by backstepping such that the closed-loop system is globally robustly asymptotically stable under arbitrary switchings. Lastly, the design method proposed is extended to the uncertain switched nonlinear systems in nested lower triangular form to solve the global robust stabilisation problem under arbitrary switchings. Two examples are given to show the effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 615-624 Issue: 4 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.617893 File-URL: http://hdl.handle.net/10.1080/00207721.2011.617893 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:4:p:615-624 Template-Type: ReDIF-Article 1.0 Author-Name: Hongyi Li Author-X-Name-First: Hongyi Author-X-Name-Last: Li Author-Name: Honghai Liu Author-X-Name-First: Honghai Author-X-Name-Last: Liu Author-Name: Steve Hand Author-X-Name-First: Steve Author-X-Name-Last: Hand Author-Name: Chris Hilton Author-X-Name-First: Chris Author-X-Name-Last: Hilton Title: Design of robust controller for a half-vehicle active suspension system with input delay Abstract: This article is concerned with the problem of robust H∞ control for a half-vehicle active suspension system with input delay. The delay is assumed to be interval time-varying delay with unknown derivative. The vehicle front sprung mass and the rear unsprung mass are assumed to be varying due to vehicle load variation and may result in parameter uncertainties being modelled by polytopic uncertainty. First of all, regarding the heave and pitch accelerations as the optimisation objectives, and suspension deflection and relative tire load constraints as the output constraints, we build the corresponding suspension systems. Then, by constructing a novel Lyapunov functional involved with the lower and upper bounds of the delay, sufficient condition for the existence of robust H∞ controller is given to ensure robust asymptotical stability of the closed-loop system and also guarantee the constrained performance. The condition can be converted into convex optimisation problem and verified easily by means of standard software. Finally, a design example is exploited to demonstrate the effectiveness of the proposed design method. Journal: International Journal of Systems Science Pages: 625-640 Issue: 4 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.617895 File-URL: http://hdl.handle.net/10.1080/00207721.2011.617895 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:4:p:625-640 Template-Type: ReDIF-Article 1.0 Author-Name: Yung Foo Author-X-Name-First: Yung Author-X-Name-Last: Foo Title: Design of robust decentralised large-scale inter-connected control systems characteristic locus method Abstract: The robust stability of large-scale interconnected systems in the presence of block-structured additive perturbations is studied. It is shown that a Gershgorin-like result is applicable for the analysis of such systems. Based on insight derived from such analysis, a conceptual approach based on the characteristic loci technique is proposed for the design of robust decentralised controller for such systems. Journal: International Journal of Systems Science Pages: 641-651 Issue: 4 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.617897 File-URL: http://hdl.handle.net/10.1080/00207721.2011.617897 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:4:p:641-651 Template-Type: ReDIF-Article 1.0 Author-Name: Xiang-Gui Guo Author-X-Name-First: Xiang-Gui Author-X-Name-Last: Guo Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: output tracking control for delta operator systems with insensitivity to controller coefficient variations Abstract: The problem of designing insensitive H∞ output tracking controller for discrete-time systems is studied in a unified framework by using the delta operator approach. A type of coefficient sensitivity performance measure is first developed tomeasure the sensitivity of the transfer function with respect to controller coefficient variations, and the corresponding controller design problem is naturally reformulated as a mixed-objective H∞ control problem. It is worth mentioning that a novel bounded real lemma (BRL), i.e. Theorem 1 in this article, for delta operator systems is obtained, which is adapted to deal with the multi-objective optimisation problem or polytopic uncertain systems in a potentially less conservative framework. Then, based on the novel lemma, an linear matrix inequality (LMI)-based design method is proposed for achieving the output tracking purpose. Finally, a numerical example based on the linearised model of F-18 aircraft is given to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 652-662 Issue: 4 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.617898 File-URL: http://hdl.handle.net/10.1080/00207721.2011.617898 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:4:p:652-662 Template-Type: ReDIF-Article 1.0 Author-Name: Janez Brest Author-X-Name-First: Janez Author-X-Name-Last: Brest Author-Name: Peter Korošec Author-X-Name-First: Peter Author-X-Name-Last: Korošec Author-Name: Jurij Šilc Author-X-Name-First: Jurij Author-X-Name-Last: Šilc Author-Name: Aleš Zamuda Author-X-Name-First: Aleš Author-X-Name-Last: Zamuda Author-Name: Borko Bošković Author-X-Name-First: Borko Author-X-Name-Last: Bošković Author-Name: Mirjam Maučec Author-X-Name-First: Mirjam Author-X-Name-Last: Maučec Title: Differential evolution and differential ant-stigmergy on dynamic optimisation problems Abstract: Many real-world optimisation problems are of dynamic nature, requiring an optimisation algorithm which is able to continuously track a changing optimum over time. To achieve this, we propose two population-based algorithms for solving dynamic optimisation problems (DOPs) with continuous variables: the self-adaptive differential evolution algorithm (jDE) and the differential ant-stigmergy algorithm (DASA). The performances of the jDE and the DASA are evaluated on the set of well-known benchmark problems provided for the special session on Evolutionary Computation in Dynamic and Uncertain Environments. We analyse the results for five algorithms presented by using the non-parametric statistical test procedure. The two proposed algorithms show a consistently superior performance over other recently proposed methods. The results show that both algorithms are appropriate candidates for DOPs. Journal: International Journal of Systems Science Pages: 663-679 Issue: 4 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.617899 File-URL: http://hdl.handle.net/10.1080/00207721.2011.617899 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:4:p:663-679 Template-Type: ReDIF-Article 1.0 Author-Name: K.R. Guruprasad Author-X-Name-First: K.R. Author-X-Name-Last: Guruprasad Author-Name: Debasish Ghose Author-X-Name-First: Debasish Author-X-Name-Last: Ghose Title: Performance of a class of multi-robot deploy and search strategies based on centroidal voronoi configurations Abstract: This article considers a class of deploy and search strategies for multi-robot systems and evaluates their performance. The application framework used is deployment of a system of autonomous mobile robots equipped with required sensors in a search space to gather information. The lack of information about the search space is modelled as an uncertainty density distribution. The agents are deployed to maximise single-step search effectiveness. The centroidal Voronoi configuration, which achieves a locally optimal deployment, forms the basis for sequential deploy and search (SDS) and combined deploy and search (CDS) strategies. Completeness results are provided for both search strategies. The deployment strategy is analysed in the presence of constraints on robot speed and limit on sensor range for the convergence of trajectories with corresponding control laws responsible for the motion of robots. SDS and CDS strategies are compared with standard greedy and random search strategies on the basis of time taken to achieve reduction in the uncertainty density below a desired level. The simulation experiments reveal several important issues related to the dependence of the relative performances of the search strategies on parameters such as the number of robots, speed of robots and their sensor range limits. Journal: International Journal of Systems Science Pages: 680-699 Issue: 4 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.618327 File-URL: http://hdl.handle.net/10.1080/00207721.2011.618327 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:4:p:680-699 Template-Type: ReDIF-Article 1.0 Author-Name: Jin-Wei Liang Author-X-Name-First: Jin-Wei Author-X-Name-Last: Liang Author-Name: Shy-Leh Chen Author-X-Name-First: Shy-Leh Author-X-Name-Last: Chen Author-Name: Ching-Ming Yen Author-X-Name-First: Ching-Ming Author-X-Name-Last: Yen Title: Identification and verification of chaotic dynamics in a missile system from experimental time series Abstract: This article is concerned with the chaotic dynamics in a missile system. Five channels of acceleration signals were measured at different locations and/or orientations of the missile during a test flight. Based on these data, the existence of chaotic behaviour is determined using common techniques for nonlinear time series analysis, such as phase-space reconstruction, Poincaré map, correlation dimension and maximum Lyapunov exponent. It is found that the vibration behaviour of the missile system represents high-order (eight dimensional) chaos. Chaotic dynamics exist in three (out of the five) channels of acceleration signals. As typical in experimental time series, the acceleration signals are contaminated with random noises. In order to determine whether deterministic chaos dominates in the three acceleration signals, a sequence of two statistical tests, the BDS test and the Kaboudan test, is applied. The BDS test rules out the possibility that the three acceleration signals are purely random. The subsequent Kaboudan test indicates that deterministic chaotic dynamics indeed dominate in two acceleration signals where the seeker is located. Journal: International Journal of Systems Science Pages: 700-713 Issue: 4 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.618639 File-URL: http://hdl.handle.net/10.1080/00207721.2011.618639 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:4:p:700-713 Template-Type: ReDIF-Article 1.0 Author-Name: M. Nourbakhsh Author-X-Name-First: M. Author-X-Name-Last: Nourbakhsh Author-Name: M. Mashinchi Author-X-Name-First: M. Author-X-Name-Last: Mashinchi Author-Name: A. Parchami Author-X-Name-First: A. Author-X-Name-Last: Parchami Title: Analysis of variance based on fuzzy observations Abstract: Analysis of variance (ANOVA) is an important method in exploratory and confirmatory data analysis. The simplest type of ANOVA is one-way ANOVA for comparison among means of several populations. In this article, we extend one-way ANOVA to a case where observed data are fuzzy observations rather than real numbers. Two real-data examples are given to show the performance of this method. Journal: International Journal of Systems Science Pages: 714-726 Issue: 4 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.618640 File-URL: http://hdl.handle.net/10.1080/00207721.2011.618640 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:4:p:714-726 Template-Type: ReDIF-Article 1.0 Author-Name: Fenglan Sun Author-X-Name-First: Fenglan Author-X-Name-Last: Sun Author-Name: Zhi-Hong Guan Author-X-Name-First: Zhi-Hong Author-X-Name-Last: Guan Title: Finite-time consensus for leader-following second-order multi-agent system Abstract: The finite-time consensus problems of second-order multi-agent system under fixed and switching network topologies are studied in this article. Based on the graph theory, LaSalle's invariance principle and the homogeneity with dilation, the finite-time consensus protocol of each agent using local information is designed. The leader-following finite-time consensus is analysed in detail. Moreover, some examples and simulation results are given to illustrate the effectiveness of the obtained theoretical results. Journal: International Journal of Systems Science Pages: 727-738 Issue: 4 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.618641 File-URL: http://hdl.handle.net/10.1080/00207721.2011.618641 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:4:p:727-738 Template-Type: ReDIF-Article 1.0 Author-Name: Koan-Yuh Chang Author-X-Name-First: Koan-Yuh Author-X-Name-Last: Chang Title: Multi-objective control for stochastic model reference systems based on LMI approach and sliding mode control concept Abstract: In this article, a multi-objective control u(t) is designed for stochastic model reference systems to achieve the following three objectives simultaneously: the pole placement constraint, H∞-norm constraint and individual error state variance constraint. Using the invariance property of sliding mode control, the reference model input and the plant error term will disappear on the sliding mode of the error system. By combining the upper bound covariance control theory, pole placement skill and H∞-norm control theory, a controller, in which the control feedback gain matrix is synthesised utilising linear matrix inequality (LMI) approach, is derived to achieve the above multiple objectives. Furthermore, a practical example for the problem of ship yaw-motion systems is adopted to illustrate the proposed method. Journal: International Journal of Systems Science Pages: 739-749 Issue: 4 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.618642 File-URL: http://hdl.handle.net/10.1080/00207721.2011.618642 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:4:p:739-749 Template-Type: ReDIF-Article 1.0 Author-Name: Jinhui Zhang Author-X-Name-First: Jinhui Author-X-Name-Last: Zhang Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Author-Name: Yuanqing Xia Author-X-Name-First: Yuanqing Author-X-Name-Last: Xia Title: Output feedback sliding mode control under networked environment Abstract: This article considers the problem of sliding mode output feedback control for networked control systems (NCSs). The key idea is to make use of not only the current and previous measurements, but also previous inputs for the reconstruction of the state variables. Using this idea, sliding mode controllers are designed for systems with constant or time-varying network delay. The approach is not only more practical but also easy to implement. To illustrate this, the design technique is applied to an inverted pendulum system. Journal: International Journal of Systems Science Pages: 750-759 Issue: 4 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.618643 File-URL: http://hdl.handle.net/10.1080/00207721.2011.618643 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:4:p:750-759 Template-Type: ReDIF-Article 1.0 Author-Name: Amy Lee Author-X-Name-First: Amy Author-X-Name-Last: Lee Author-Name: He-Yau Kang Author-X-Name-First: He-Yau Author-X-Name-Last: Kang Author-Name: Chun-Mei Lai Author-X-Name-First: Chun-Mei Author-X-Name-Last: Lai Title: Solving lot-sizing problem with quantity discount and transportation cost Abstract: Owing to today's increasingly competitive market and ever-changing manufacturing environment, the inventory problem is becoming more complicated to solve. The incorporation of heuristics methods has become a new trend to tackle the complex problem in the past decade. This article considers a lot-sizing problem, and the objective is to minimise total costs, where the costs include ordering, holding, purchase and transportation costs, under the requirement that no inventory shortage is allowed in the system. We first formulate the lot-sizing problem as a mixed integer programming (MIP) model. Next, an efficient genetic algorithm (GA) model is constructed for solving large-scale lot-sizing problems. An illustrative example with two cases in a touch panel manufacturer is used to illustrate the practicality of these models, and a sensitivity analysis is applied to understand the impact of the changes in parameters to the outcomes. The results demonstrate that both the MIP model and the GA model are effective and relatively accurate tools for determining the replenishment for touch panel manufacturing for multi-periods with quantity discount and batch transportation. The contributions of this article are to construct an MIP model to obtain an optimal solution when the problem is not too complicated itself and to present a GA model to find a near-optimal solution efficiently when the problem is complicated. Journal: International Journal of Systems Science Pages: 760-774 Issue: 4 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.618644 File-URL: http://hdl.handle.net/10.1080/00207721.2011.618644 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:4:p:760-774 Template-Type: ReDIF-Article 1.0 Author-Name: Mohammad Fateh Author-X-Name-First: Mohammad Author-X-Name-Last: Fateh Author-Name: Hojjat Tehrani Author-X-Name-First: Hojjat Author-X-Name-Last: Tehrani Author-Name: Seyed Karbassi Author-X-Name-First: Seyed Author-X-Name-Last: Karbassi Title: Repetitive control of electrically driven robot manipulators Abstract: This article presents a novel robust discrete repetitive control of electrically driven robot manipulators for tracking of a periodic trajectory. We propose a novel model, which presents the highly non-linear dynamics of robot manipulator in the form of linear discrete-time time-varying system. Based on the proposed model, we develop a two-term control law. The first term is an ordinary time-optimal and minimum-norm (TOMN) control by employing parametric controllers to guarantee stability. The second term is a novel robust control to improve the control performance in the face of uncertainties. The robust control estimates and compensates uncertainties including the parametric uncertainty, unmodelled dynamics and external disturbances. Performance of the proposed method is compared with two discrete methods, namely the TOMN control and an adaptive iterative learning (AIL) control. Simulation results confirm superiority of the proposed method in terms of the convergence speed and precision. Journal: International Journal of Systems Science Pages: 775-785 Issue: 4 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.625478 File-URL: http://hdl.handle.net/10.1080/00207721.2011.625478 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:4:p:775-785 Template-Type: ReDIF-Article 1.0 Author-Name: Xiao-Dong Li Author-X-Name-First: Xiao-Dong Author-X-Name-Last: Li Author-Name: Tommy Chow Author-X-Name-First: Tommy Author-X-Name-Last: Chow Author-Name: L.L. Cheng Author-X-Name-First: L.L. Author-X-Name-Last: Cheng Title: Adaptive iterative learning control of non-linear MIMO continuous systems with iteration-varying initial error and reference trajectory Abstract: In this article, an adaptive iterative learning control (ILC) approach is presented to deal with a class of non-linear multi-input multi-output (MIMO) continuous systems with parametric uncertainty. Unlike general ILC techniques, the proposed adaptive ILC approach allows that both the initial error and the reference trajectory are iteration-varying in the ILC process. The designed ILC tracking strategy is to set out a very small initial time interval, and track the iteration-varying reference trajectory beyond the initial time interval. The reference trajectory tracking error beyond the initial time interval can be driven to zero. While the proposed adaptive ILC technique is applied to the repetitive learning control of non-linear MIMO continuous systems, a complete reference trajectory tracking over the whole time interval can be achieved. Journal: International Journal of Systems Science Pages: 786-794 Issue: 4 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.625480 File-URL: http://hdl.handle.net/10.1080/00207721.2011.625480 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:4:p:786-794 Template-Type: ReDIF-Article 1.0 Author-Name: Taha Zoulagh Author-X-Name-First: Taha Author-X-Name-Last: Zoulagh Author-Name: Bensalem Boukili Author-X-Name-First: Bensalem Author-X-Name-Last: Boukili Author-Name: Abdelaziz Hmamed Author-X-Name-First: Abdelaziz Author-X-Name-Last: Hmamed Author-Name: Ahmed El Hajjaji Author-X-Name-First: Ahmed Author-X-Name-Last: El Hajjaji Title: L2 – L∞ reduced-order filter design for T-S fuzzy stochastic discrete systems Abstract: This paper investigates the problem of the $ L_{2}-L_{\infty } $ L2−L∞ filtering for discrete-time Takagi–Sugeno fuzzy stochastic systems. The objective is to find new filter design conditions ensuring both the mean square asymptotic stability and prescribed $ L_{2}-L_{\infty } $ L2−L∞ performance of the filtering error system. By means of a fuzzy Lypunov function and by introducing some slack variables through an appropriate use of the projection lemma, new analysis conditions of $ L_{2}-L_{\infty } $ L2−L∞ performance are proposed. Then, the full and reduced-order $ L_{2}-L_{\infty } $ L2−L∞ filter design conditions are proposed in Linear Matrix Inequality form. Finally, to illustrate the proposed approach, simulation and comparison with existing results in the literature are given. Journal: International Journal of Systems Science Pages: 2061-2072 Issue: 10 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1483540 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1483540 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:10:p:2061-2072 Template-Type: ReDIF-Article 1.0 Author-Name: F. Tamssaouet Author-X-Name-First: F. Author-X-Name-Last: Tamssaouet Author-Name: S. Amari Author-X-Name-First: S. Author-X-Name-Last: Amari Title: Modelling and temporal evaluation of networked control systems using timed automata with guards and (max,+) algebra Abstract: In this paper, we have proposed a new approach to evaluate the response time of Networked Control Systems (NCS) working under client/server protocol. For this, we have used two tools of discrete event systems: Timed Automata with Guards (TAGs) and (max,+) algebra. A preliminary result is to define a formal representation to describe the behaviour for TAGs with multiple clocks in (max,+) algebra and to deduce some performance indicators of these asynchronous models. The second contribution consists of modelling the NCS with TAGs and determining the upper bounds of the response time by an analytical formula. Finally, we have shown the agreement between experimental measures of the response time found in the literature and the theoretical predictions of our formulas. Journal: International Journal of Systems Science Pages: 2073-2088 Issue: 10 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1483541 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1483541 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:10:p:2073-2088 Template-Type: ReDIF-Article 1.0 Author-Name: Mohammad Ali Alirezapouri Author-X-Name-First: Mohammad Ali Author-X-Name-Last: Alirezapouri Author-Name: Hamid Khaloozadeh Author-X-Name-First: Hamid Author-X-Name-Last: Khaloozadeh Author-Name: Ahmad Reza Vali Author-X-Name-First: Ahmad Reza Author-X-Name-Last: Vali Author-Name: Mohammad Reza Arvan Author-X-Name-First: Mohammad Reza Author-X-Name-Last: Arvan Title: Modified UBB-based input estimation method for nonlinear manoeuvring target tracking problem Abstract: The input detection and estimation methods in the manoeuvring target tracking (MTT) application need algorithms for manoeuvring detection and covariance resetting. This algorithm causes an improper delay in target states tracking. In this paper, for solving this problem, unknown but bounded approach for uncertainties modelling is used and a different state space model is developed. In this model, target acceleration is treated as an augmented state in the corresponding state equation. By using interval mathematics, the linearisation error is bounded by an ellipsoidal set and considered in the model development. In augmented state equations, the MTT problem converted to non-manoeuvring target tracking problem. Therefore, the set membership filter is rearranged and used for simultaneous target state and manoeuvre estimation. Furthermore, estimated convex set boundedness is analysed and an upper bound for the estimation error is calculated. The theoretical development of the proposed method is verified with numerical simulations, which contain examples of tracking various manoeuvring targets. The simulation result of the proposed method is compared with traditional input estimation methods. The comparison shows the acceptable performance of the proposed method in the simultaneous estimation of the target acceleration and state vector for the manoeuvring and non-manoeuvring scenarios. Journal: International Journal of Systems Science Pages: 2089-2100 Issue: 10 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1483542 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1483542 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:10:p:2089-2100 Template-Type: ReDIF-Article 1.0 Author-Name: H. El bahja Author-X-Name-First: H. Author-X-Name-Last: El bahja Author-Name: P. Vega Author-X-Name-First: P. Author-X-Name-Last: Vega Author-Name: F. Tadeo Author-X-Name-First: F. Author-X-Name-Last: Tadeo Author-Name: M. Francisco Author-X-Name-First: M. Author-X-Name-Last: Francisco Title: A constrained closed loop MPC based on positive invariance concept for a wastewater treatment plant Abstract: This paper presents a new methodology to design a closed loop model predictive control (CLMPC) using polyhedral invariant sets. This methodology gives a simple solution to this type of control, ensuring stability and respecting non-symmetrical constraints on control magnitudes, as well as moving in both modes of operation of the dual controller. The proposed algorithm takes advantage of the design of the state feedback control law in the CLMPC to increase the degrees of freedom, in contrast to other CLMPC approaches. In order to design the controller so that it respects constraints on both control magnitudes and its increments, necessary and sufficient conditions for asymptotic stability at the origin have been developed for linear systems. The controller is applied to an illustrative linear example and the activated sludge process in a wastewater treatment plant, showing the efficiency of the proposal. Journal: International Journal of Systems Science Pages: 2101-2115 Issue: 10 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1484195 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1484195 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:10:p:2101-2115 Template-Type: ReDIF-Article 1.0 Author-Name: Guangdeng Zong Author-X-Name-First: Guangdeng Author-X-Name-Last: Zong Author-Name: Wenhai Qi Author-X-Name-First: Wenhai Author-X-Name-Last: Qi Title: Controller design for stochastic Markovian switching systems with time-varying delay and actuator saturation Abstract: The paper deals with controller design for stochastic Markovian switching systems with time-varying delay and actuator saturation by implying a new criterion for the domain of attraction firstly. By constructing more appropriate Lyapunov–Krasovskii functional, some new conditions for verifying stochastic stability of the plant are established. Then, the state feedback controller is designed to expand the domain of attraction of the corresponding closed-loop system. The procedure of deriving controller gain matrices is converted into an optimisation problem with constraints of a set of linear matrix inequalities. The mathematical model of RLC series circuit illustrates the validity of the obtained results. Journal: International Journal of Systems Science Pages: 2116-2128 Issue: 10 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1484196 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1484196 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:10:p:2116-2128 Template-Type: ReDIF-Article 1.0 Author-Name: Hidetoshi Oya Author-X-Name-First: Hidetoshi Author-X-Name-Last: Oya Author-Name: Shunya Nagai Author-X-Name-First: Shunya Author-X-Name-Last: Nagai Author-Name: Tsuyoshi Matsuki Author-X-Name-First: Tsuyoshi Author-X-Name-Last: Matsuki Author-Name: Yoshikatsu Hoshi Author-X-Name-First: Yoshikatsu Author-X-Name-Last: Hoshi Title: Synthesis of adaptive gain robust model-following/tracking controllers for a class of uncertain linear systems Abstract: This paper proposes a new adaptive gain robust model-following/tracking controller for a class of uncertain linear systems. The proposed adaptive gain robust controller is composed of state feedback laws with fixed gains, feedfoward inputs for the reference model and nonlinear compensation inputs with adjustable time-varying parameters. Moreover, the proposed control strategy can achieve good transient performance and avoid the excessive control input by means of the design parameter. In this paper, linear matrix inequality-based sufficient conditions for the existence of the proposed adaptive gain controller are given, and two design strategies are presented. Finally, simple illustrative examples are included to show the effectiveness of the proposed adaptive gain robust controller. Journal: International Journal of Systems Science Pages: 2129-2143 Issue: 10 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1484197 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1484197 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:10:p:2129-2143 Template-Type: ReDIF-Article 1.0 Author-Name: Chang-Hua Lien Author-X-Name-First: Chang-Hua Author-X-Name-Last: Lien Author-Name: Ker-Wei Yu Author-X-Name-First: Ker-Wei Author-X-Name-Last: Yu Author-Name: Hao-Chin Chang Author-X-Name-First: Hao-Chin Author-X-Name-Last: Chang Title: Robust mixed performance switching control for uncertain discrete switched systems with time delay Abstract: In this paper, the problem of H2 and H∞ mixed switching control of uncertain discrete switched systems with time delay is considered via a switching signal design. New Lyapunov functional and Wirtinger inequality are used to guarantee the mixed performance for discrete switched time-delay system. The number of using LMI variables is less than our past proposed approach. Finally, a numerical example is illustrated to show the improvement of the developed results. Journal: International Journal of Systems Science Pages: 2144-2154 Issue: 10 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1484198 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1484198 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:10:p:2144-2154 Template-Type: ReDIF-Article 1.0 Author-Name: Fangzheng Gao Author-X-Name-First: Fangzheng Author-X-Name-Last: Gao Author-Name: Yuqiang Wu Author-X-Name-First: Yuqiang Author-X-Name-Last: Wu Author-Name: Hongsheng Li Author-X-Name-First: Hongsheng Author-X-Name-Last: Li Author-Name: Yanhong Liu Author-X-Name-First: Yanhong Author-X-Name-Last: Liu Title: Finite-time stabilisation for a class of output-constrained nonholonomic systems with its application Abstract: This paper studies the problem of finite-time stabilisation for a class of uncertain nonholonomic systems in chained form with output constraint. A nonlinear mapping is first introduced to transform the output-constrained system into a new unconstrained one. Then, by employing the adding a power integrator technique and switching control strategy, a state feedback controller is successfully constructed to render that the states of closed-loop system converge to zero in a finite time without violation of the constraint. As an application of the proposed theoretical results, the problem of finite-time parking a unicycle-type mobile robot is tackled. Simulation results are given to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2155-2169 Issue: 10 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1494863 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1494863 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:10:p:2155-2169 Template-Type: ReDIF-Article 1.0 Author-Name: Kamen L. Perev Author-X-Name-First: Kamen L. Author-X-Name-Last: Perev Title: Legendre orthogonal polynomials approximation of system gramians and its application to balanced truncation Abstract: The paper presents a procedure for computation of system gramians by using Legendre orthogonal polynomials approximation of the system state impulse and output responses. The proposed approach is trajectory based and relies on the system state and output trajectories snapshots selected either by experiment or computer simulation. It is defined in deterministic settings as opposed to similar approaches defined in stochastic settings by using the data covariance matrix. The advantage of using orthogonal series approximation for the gramians is to avoid solving the usual Lyapunov equations. The proposed method can be equally well applied to linear time-invariant as well as time-varying systems, and even to unstable systems, since the gramians approximation is performed on a finite interval of time. When the observation interval contains the whole energy of the system state impulse and output responses, the proposed method gives similar results as the gramians computed by solving Lyapunov equations. Several experiments are performed showing the good approximation properties of the presented method. Journal: International Journal of Systems Science Pages: 2170-2186 Issue: 10 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1496295 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1496295 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:10:p:2170-2186 Template-Type: ReDIF-Article 1.0 Author-Name: Linna Zhou Author-X-Name-First: Linna Author-X-Name-Last: Zhou Author-Name: Congcong Wang Author-X-Name-First: Congcong Author-X-Name-Last: Wang Author-Name: Qianjin Wang Author-X-Name-First: Qianjin Author-X-Name-Last: Wang Author-Name: Chunyu Yang Author-X-Name-First: Chunyu Author-X-Name-Last: Yang Title: Anti-windup control for nonlinear singularly perturbed switched systems with actuator saturation Abstract: This paper considers the problem of anti-windup (AW) control for nonlinear singularly perturbed switched systems with actuator saturation. An AW controller consisting of a dynamic state feedback (DSF) controller and an AW compensator is firstly constructed. Then, two methods are proposed to determine the AW controller gain matrices by a common Lyapunov function. One of which assumes that the singular perturbation parameter ϵ is available and designs ϵ-dependent AW controller gains simultaneously. The other one, which considers the case that ϵ is unknown but sufficiently small, designs the ϵ-independent DSF controller gain matrices first and then designs the ϵ-independent AW compensator gain matrices. Both of the methods are reduced to solving convex optimisation problems and can achieve larger stability bound and basin of attraction than the existing results. Finally, examples are used to illustrate the feasibility and advantages of the proposed methods. Journal: International Journal of Systems Science Pages: 2187-2201 Issue: 10 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1496296 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1496296 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:10:p:2187-2201 Template-Type: ReDIF-Article 1.0 Author-Name: Chaouki Aouiti Author-X-Name-First: Chaouki Author-X-Name-Last: Aouiti Author-Name: El abed Assali Author-X-Name-First: El Author-X-Name-Last: abed Assali Author-Name: Jinde Cao Author-X-Name-First: Jinde Author-X-Name-Last: Cao Author-Name: Ahmed Alsaedi Author-X-Name-First: Ahmed Author-X-Name-Last: Alsaedi Title: Global exponential convergence of neutral-type competitive neural networks with multi-proportional delays, distributed delays and time-varying delay in leakage delays Abstract: This paper is concerned with a class of neutral-type competitive neural networks with multi-proportional delays, distributed delays and leakage delays. By employing the differential inequality theory, some sufficient conditions are given to ensure that all solutions of the addressed system converge exponentially to zero vector. An illustrative example is also given at the end of this paper to show the effectiveness of our results. Journal: International Journal of Systems Science Pages: 2202-2214 Issue: 10 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1496297 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1496297 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:10:p:2202-2214 Template-Type: ReDIF-Article 1.0 Author-Name: Qiaoping Li Author-X-Name-First: Qiaoping Author-X-Name-Last: Li Author-Name: Sanyang Liu Author-X-Name-First: Sanyang Author-X-Name-Last: Liu Title: Adaptive finite-time modified function projective lag synchronisation with definite attenuation rate for uncertain chaotic systems Abstract: This paper investigates the adaptive finite-time modified function projective lag synchronisation with definite attenuation rate for a class of chaotic systems with unknown parameters. Firstly, a novel integral type terminal sliding surface is proposed to ensure the finite-time stability of the sliding motion. Subsequently, an adaptive finite-time control law is designed to guarantee the occurrence of the sliding motion in a limited time and the accurate estimation of the unknown parameters. Moreover, the exponential attenuation rate designed in this paper can further cut down the synchronisation time. Numerical simulations are presented to verify the feasibility and effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2215-2223 Issue: 10 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1496298 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1496298 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:10:p:2215-2223 Template-Type: ReDIF-Article 1.0 Author-Name: Zhihua Chen Author-X-Name-First: Zhihua Author-X-Name-Last: Chen Author-Name: Yongchun Xie Author-X-Name-First: Yongchun Author-X-Name-Last: Xie Title: Finite-time stability analysis of a class of nonlinear time-varying systems: a numerical algorithm Abstract: The paper investigates the finite-time stability (FTS) analysis of a very general class of nonlinear time-varying systems. The FTS of the considered system, whose vector field consists of a nonlinear part which can be sublinear or superlinear, and a linear part which can be time-varying, has not been fully studied before. By estimating the bound of the norm of the considered system's states with the generalised Gronwall–Bellman inequality, a sufficient criterion is established to guarantee the FTS of the considered system. To facilitate checking the criterion in practice, a novel numerical algorithm is proposed by numerically solving certain differential equations. Therefore, the FTS of the considered class of nonlinear time-varying systems can be easily analysed by the numerical algorithm. Further considering the numerical errors in the practical numerical computation, we strictly prove the credibility and programmability of the numerical algorithm in theory. Finally, three numerical examples are provided to illustrate the effectiveness the proposed results. Journal: International Journal of Systems Science Pages: 2224-2242 Issue: 10 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1496299 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1496299 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:10:p:2224-2242 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaoping Liu Author-X-Name-First: Xiaoping Author-X-Name-Last: Liu Author-Name: Yang Liu Author-X-Name-First: Yang Author-X-Name-Last: Liu Author-Name: Yucheng Zhou Author-X-Name-First: Yucheng Author-X-Name-Last: Zhou Author-Name: Yufu Jia Author-X-Name-First: Yufu Author-X-Name-Last: Jia Title: The finite-time almost disturbance decoupling for nonlinear systems Abstract: The finite-time almost disturbance decoupling problem is investigated for nonlinear systems in strict feedback form using backstepping. A recursive design algorithm is proposed to construct a continuous stabilising feedback controller so that the corresponding closed-loop system is finite-time stable when there is no external disturbances and the influence of the external disturbances on the output is attenuated to a given degree. This paper is the first to solve the finite-time almost disturbance decoupling problem. Two examples are given to show the feasibility of the proposed design method. Journal: International Journal of Systems Science Pages: 2243-2256 Issue: 10 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1496300 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1496300 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:10:p:2243-2256 Template-Type: ReDIF-Article 1.0 Author-Name: Haiyu Song Author-X-Name-First: Haiyu Author-X-Name-Last: Song Author-Name: Zhen Hong Author-X-Name-First: Zhen Author-X-Name-Last: Hong Author-Name: Hongbo Song Author-X-Name-First: Hongbo Author-X-Name-Last: Song Author-Name: Wen-An Zhang Author-X-Name-First: Wen-An Author-X-Name-Last: Zhang Title: Fusion estimation in clustering sensor networks under stochastic deception attacks Abstract: In this paper, a fusion estimation problem in clustering sensor networks under stochastic deception attacks is investigated. The sensors are divided into several clusters, and a local estimator is embedded in each cluster. During the network transmissions, deception attacks are considered to randomly occur and the statuses of the attacks are described by a set of Bernoulli variables. By using the clustering sampled information, a local minimum variance filter is derived and the filter gains are recursively determined. By using the local estimates and the local estimation error covariance matrices, a covariance intersection fusion algorithm is presented for the fusion centre to generate the final estimate. Moreover, the relationship between the trace of the local estimation error covariance matrix and the uniform successful attack rate is analysed. An illustrative example is given to shown the effectiveness of the proposed theoretical results. Journal: International Journal of Systems Science Pages: 2257-2266 Issue: 10 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1496301 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1496301 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:10:p:2257-2266 Template-Type: ReDIF-Article 1.0 Author-Name: Jianlei Zhang Author-X-Name-First: Jianlei Author-X-Name-Last: Zhang Author-Name: Yuying Zhu Author-X-Name-First: Yuying Author-X-Name-Last: Zhu Author-Name: Qiaoyu Li Author-X-Name-First: Qiaoyu Author-X-Name-Last: Li Author-Name: Zengqiang Chen Author-X-Name-First: Zengqiang Author-X-Name-Last: Chen Title: Promoting cooperation by setting a ceiling payoff for defectors under three-strategy public good games Abstract: The puzzle of altruistic behaviours among multi-agent systems poses a dilemma, which has been an overlapping topic that covers many subjects. The public goods game can be regarded as a paradigm for modelling and exploring it. In the traditional definition of public goods game, the equally divided benefit among all participants leads to the dominance of defection. Much effort has been made to explain the evolution of cooperation, including the model in which the payoff ceilings for defectors are introduced. Further, we study a three-strategy evolutionary public goods game by providing the role of being loners. The payoff ceilings will take effect when the number of cooperators exceeds some threshold. Analysis results by following the replicator dynamics indicate that lower values of the payoff ceilings can better promote levels of public cooperation. Importantly, a remarkable cyclic route has been found: when receiving relative lower benefits, loners act as catalysts, helping the population to escape from mutual defection to cooperation. And, the stable equilibrium points from cooperation to isolation can be realised by improving the fixed payoffs of loners. Finally, broader ceilings also for cooperators provide us more hints about how to suppress the spreading of defectors under certain conditions. Journal: International Journal of Systems Science Pages: 2267-2286 Issue: 10 Volume: 49 Year: 2018 Month: 7 X-DOI: 10.1080/00207721.2018.1498554 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1498554 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:10:p:2267-2286 Template-Type: ReDIF-Article 1.0 Author-Name: The Editors Title: RETRACTED ARTICLE: Finite-time tracking control for strict-feedback nonlinear systems with time-varying output constraints Journal: International Journal of Systems Science Pages: I-X Issue: 7 Volume: 49 Year: 2018 Month: 5 X-DOI: 10.1080/00207721.2018.1425508 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1425508 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:7:p:I-X Template-Type: ReDIF-Article 1.0 Author-Name: Min Li Author-X-Name-First: Min Author-X-Name-Last: Li Author-Name: Ming Liu Author-X-Name-First: Ming Author-X-Name-Last: Liu Author-Name: Yingchun Zhang Author-X-Name-First: Yingchun Author-X-Name-Last: Zhang Author-Name: Yunhai Geng Author-X-Name-First: Yunhai Author-X-Name-Last: Geng Title: Fault tolerant sliding mode control for T-S fuzzy stochastic time-delay system via a novel sliding mode observer approach Abstract: In this paper, a fault estimation and fault-tolerant control problem for a class of T-S fuzzy stochastic time-delay systems with actuator and sensor faults is investigated. A novel sliding mode observer is proposed, which can simultaneously estimate the system states, actuator and sensor faults with good accuracy. Based on the state and actuator fault estimation, a new sliding mode control scheme is developed, which can effectively eliminate the influence of actuator fault. Sufficient conditions for the existence of the proposed observer and fault-tolerant sliding mode controller are provided in terms of linear matrix inequality, and moreover, the reachability of the sliding mode surface can be guaranteed under the proposed control scheme. The propose sliding mode observer and fault-tolerant sliding mode controller can overcome the restrictive assumption that the input matrix of all local modes is the same. Finally, a numerical example is provided to verify the effectiveness of the proposed sliding mode observer and fault-tolerant sliding mode control technique. Journal: International Journal of Systems Science Pages: 1353-1367 Issue: 7 Volume: 49 Year: 2018 Month: 5 X-DOI: 10.1080/00207721.2018.1447168 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1447168 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:7:p:1353-1367 Template-Type: ReDIF-Article 1.0 Author-Name: Hongwen Ma Author-X-Name-First: Hongwen Author-X-Name-Last: Ma Author-Name: Ding Wang Author-X-Name-First: Ding Author-X-Name-Last: Wang Author-Name: Derong Liu Author-X-Name-First: Derong Author-X-Name-Last: Liu Title: Connectivity preservation of second-order nonlinear multiagent systems with hybrid event-driven and time-driven control Abstract: In practice, the capability of communication between each pair of agents is within a finite range. This paper investigates how to preserve connectivity for nonlinear multiagent systems while reaching consensus under event-driven control technique. By introducing an appropriate potential function based on the distance of two agents, we can demonstrate that all the agents will not lose connectivity if the initial undirected graph is connected. Furthermore, due to the existence of friction and time delay, we utilise the Young's inequality and a Lyapunov–Krasovskii functional to eliminate the negative effects of time delay. The use of impulse functions is considered which can avoid the singularity in the control input. Moreover, the hybrid event-driven and time-driven control technique is utilised to reduce the requirements of communication resources. Finally, numerical simulations are conducted to demonstrate the effectiveness of our methodology. Journal: International Journal of Systems Science Pages: 1368-1382 Issue: 7 Volume: 49 Year: 2018 Month: 5 X-DOI: 10.1080/00207721.2018.1453953 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1453953 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:7:p:1368-1382 Template-Type: ReDIF-Article 1.0 Author-Name: Qian Liu Author-X-Name-First: Qian Author-X-Name-Last: Liu Author-Name: Senping Tian Author-X-Name-First: Senping Author-X-Name-Last: Tian Author-Name: Panpan Gu Author-X-Name-First: Panpan Author-X-Name-Last: Gu Title: Iterative learning control for a class of singular impulsive systems Abstract: In this paper, the iterative learning control problem for a class of nonlinear singular impulsive systems is discussed. Then, a D-type (derivative-type) iterative learning control algorithm is presented such that the output tracks the desired output trajectory as accurate as possible. Furthermore, the sufficient condition for the convergence of the proposed algorithm is established in detail. Finally, a numerical example is included to corroborate the theoretical analyses. Journal: International Journal of Systems Science Pages: 1383-1390 Issue: 7 Volume: 49 Year: 2018 Month: 5 X-DOI: 10.1080/00207721.2018.1453954 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1453954 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:7:p:1383-1390 Template-Type: ReDIF-Article 1.0 Author-Name: Yu-Qun Han Author-X-Name-First: Yu-Qun Author-X-Name-Last: Han Title: Adaptive tracking control of nonlinear systems with dynamic uncertainties using neural network Abstract: In this paper, an adaptive neural tracking control approach is proposed for a class of nonlinear systems with dynamic uncertainties. The radial basis function neural networks (RBFNNs) are used to estimate the unknown nonlinear uncertainties, and then a novel adaptive neural scheme is developed, via backstepping technique. In the controller design, instead of using RBFNN to approximate each unknown function, we lump all unknown functions into a suitable unknown function that is approximated by only a RBFNN in each step of the backstepping. It is shown that the designed controller can guarantee that all signals in the closed-loop system are semi-globally bounded and the tracking error finally converges to a small domain around the origin. Two examples are given to demonstrate the effectiveness of the proposed control scheme. Journal: International Journal of Systems Science Pages: 1391-1402 Issue: 7 Volume: 49 Year: 2018 Month: 5 X-DOI: 10.1080/00207721.2018.1453955 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1453955 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:7:p:1391-1402 Template-Type: ReDIF-Article 1.0 Author-Name: Changfang Chen Author-X-Name-First: Changfang Author-X-Name-Last: Chen Author-Name: Yingmin Jia Author-X-Name-First: Yingmin Author-X-Name-Last: Jia Author-Name: Yinglong Wang Author-X-Name-First: Yinglong Author-X-Name-Last: Wang Author-Name: Minglei Shu Author-X-Name-First: Minglei Author-X-Name-Last: Shu Title: Non-linear velocity observer for vehicles with tyre–road friction estimation Abstract: A non-linear observer is proposed for the estimation of the longitudinal and lateral velocities of automotive vehicles due to highly non-linear friction. To take the unknown time-varying road conditions into account, a real-time tyre–road friction estimation algorithm is provided for adaptation to changes of different road adhesion characteristics. Besides, the coupling effects of the longitudinal and lateral forces are fully exploited to design the non-linear observer based on the longitudinal and lateral acceleration measurements. The observer is computationally efficient and is based on a standard sensor configuration commonly available in modern cars. The uniform global asymptotical stability of the adaptive observer is guaranteed under a certain persistency-of-excitation condition. Moreover, a stronger local stability result can also be obtained, i.e. uniform local exponential stability. The performance of the observer is compared with that of existing approaches under different manoeuvres and road conditions. Journal: International Journal of Systems Science Pages: 1403-1418 Issue: 7 Volume: 49 Year: 2018 Month: 5 X-DOI: 10.1080/00207721.2018.1454533 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1454533 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:7:p:1403-1418 Template-Type: ReDIF-Article 1.0 Author-Name: Yadong Shu Author-X-Name-First: Yadong Author-X-Name-Last: Shu Author-Name: Yuanguo Zhu Author-X-Name-First: Yuanguo Author-X-Name-Last: Zhu Title: Optimal control for multi-stage and continuous-time linear singular systems Abstract: In this paper, optimal control problems for multi-stage and continuous-time linear singular systems are both considered. The singular systems are assumed to be regular and impulse-free. First, a recurrence equation is derived according to Bellman's principle of optimality in dynamic programming. Then, by applying the recurrence equation, bang-bang optimal controls for the control problems with linear objective functions subject to two types of multi-stage singular systems are obtained. Second, employing the principle of optimality, a equation of optimality for settling the optimal control problem subject to a class of continuous-time singular systems is proposed. The optimal control problem may become simpler through solving this equation of optimality. Two numerical examples and a dynamic input–output model are presented to show the effectiveness of the results obtained. Journal: International Journal of Systems Science Pages: 1419-1434 Issue: 7 Volume: 49 Year: 2018 Month: 5 X-DOI: 10.1080/00207721.2018.1454534 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1454534 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:7:p:1419-1434 Template-Type: ReDIF-Article 1.0 Author-Name: Yanhua Qu Author-X-Name-First: Yanhua Author-X-Name-Last: Qu Author-Name: Anna Wang Author-X-Name-First: Anna Author-X-Name-Last: Wang Author-Name: Sheng Lin Author-X-Name-First: Sheng Author-X-Name-Last: Lin Title: Robust output tracking for heterogeneous double-integrator dynamics with external disturbance Abstract: This paper studies the robust output tracking for heterogeneous double-integrator dynamics with external disturbance. It is assumed that there exist interactions among agents and their neighbours. All the agents have non-identical dynamics with others, and all the system matrices are unknown. A state feedback control protocol with only neighbours information is proposed based on a distributed compensator for non-identical dynamics and an internal-model compensator for the unknown parts. By the algebraic graph theory and matrix theory, sufficient conditions are given to guarantee that all the outputs of the agents converge to the reference output as time tends to infinity. Finally, two numerical simulations are provided to illustrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 1435-1444 Issue: 7 Volume: 49 Year: 2018 Month: 5 X-DOI: 10.1080/00207721.2018.1454535 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1454535 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:7:p:1435-1444 Template-Type: ReDIF-Article 1.0 Author-Name: Majid Ghaniee Zarch Author-X-Name-First: Majid Ghaniee Author-X-Name-Last: Zarch Author-Name: Vicenç Puig Author-X-Name-First: Vicenç Author-X-Name-Last: Puig Author-Name: Javad Poshtan Author-X-Name-First: Javad Author-X-Name-Last: Poshtan Author-Name: Mahdi Aliyari Shoorehdeli Author-X-Name-First: Mahdi Aliyari Author-X-Name-Last: Shoorehdeli Title: Fault detection and isolation using viability theory and interval observers Abstract: This paper proposes the use of interval observers and viability theory in fault detection and isolation (FDI). Viability theory develops mathematical and algorithmic methods for investigating the viability constraints characterisation of dynamic evolutions of complex systems under uncertainty. These methods can be used for checking the consistency between observed and predicted behaviour by using simple sets that approximate the exact set of possible behaviour (in the parameter or state space). In this paper, FDI is based on checking for an inconsistency between the measured and predicted behaviours using viability theory concepts and sets. Finally, an example is provided in order to show the usefulness of the proposed approach. Journal: International Journal of Systems Science Pages: 1445-1462 Issue: 7 Volume: 49 Year: 2018 Month: 5 X-DOI: 10.1080/00207721.2018.1454536 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1454536 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:7:p:1445-1462 Template-Type: ReDIF-Article 1.0 Author-Name: Chengzhi Yuan Author-X-Name-First: Chengzhi Author-X-Name-Last: Yuan Author-Name: Fen Wu Author-X-Name-First: Fen Author-X-Name-Last: Wu Title: Cooperative output regulation of multi-agent systems with switched leader dynamics Abstract: In this paper, the cooperative output regulation problem for heterogeneous multi-agent systems is addressed by considering a switched leader dynamics. The switched leader dynamics consists of multiple linear models and a switching rule governing the switches among them. A switched leader is capable of generating various sophisticated reference signals for more complicated multi-agent coordination tasks. A novel distributed hybrid impulsive switching control scheme is proposed to achieve cooperative output regulation. Distributed switching stability is established using the average dwell-time technique with multiple Lyapunov functions. Moreover, the associated distributed control synthesis conditions are formulated in terms of linear matrix inequalities plus linear matrix equations. As a result, both switching rules for the leader and distributed switching protocols for the followers can be jointly synthesised via efficient semi-definite programming. An example has been used to demonstrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 1463-1477 Issue: 7 Volume: 49 Year: 2018 Month: 5 X-DOI: 10.1080/00207721.2018.1454537 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1454537 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:7:p:1463-1477 Template-Type: ReDIF-Article 1.0 Author-Name: Zhiqiang Zuo Author-X-Name-First: Zhiqiang Author-X-Name-Last: Zuo Author-Name: Yuanyuan Li Author-X-Name-First: Yuanyuan Author-X-Name-Last: Li Author-Name: Yijing Wang Author-X-Name-First: Yijing Author-X-Name-Last: Wang Author-Name: Hongchao Li Author-X-Name-First: Hongchao Author-X-Name-Last: Li Title: Event-triggered control for switched systems in the presence of actuator saturation Abstract: In this paper, the event-triggered stabilisation problem for a class of switched systems with actuator saturation is investigated. Based on multiple Lyapunov function method and the average dwell time approach, a sufficient condition for exponential stability of such systems under event-triggered state-feedback controller is derived. To avoid Zeno behaviour, it is shown that there exists a positive lower bound for any two consecutive inter-event instants. Finally, two examples are presented to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1478-1490 Issue: 7 Volume: 49 Year: 2018 Month: 5 X-DOI: 10.1080/00207721.2018.1454538 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1454538 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:7:p:1478-1490 Template-Type: ReDIF-Article 1.0 Author-Name: Shu-Xiang Guo Author-X-Name-First: Shu-Xiang Author-X-Name-Last: Guo Title: An efficient methodology for robust control of dynamic systems with interval matrix uncertainties Abstract: Interval models are frequently used for dealing with uncertainties of control systems. However, it is well known that direct analysis and synthesis of a controlled dynamic system with interval matrix uncertainties may be a NP-hard problem. In this work, an efficient methodology for robustness analysis and robust control design of dynamic systems with interval matrix uncertainties is presented systematically, in which the uncertainties appearing in the controlled plant and controller realisation are taken into account simultaneously in an integrated framework. The fundamental problems, such as quadratic stability, guaranteed cost control and H∞ control of uncertain systems are taken as examples to show the methodology. Necessary and sufficient conditions for linear dynamic systems with interval matrices are derived by transforming all the interval matrices into some more tractable forms. The whole reasoning process is logical and rigorous, and NP-hard problem is successfully avoided. The presented formulations are within the framework of linear matrix inequality and can be implemented conveniently. In contrast to existing vertex-set methods, in which the vertices of interval matrices need to be constructed and checked, the presented methods are more efficient. Three numerical examples are investigated to demonstrate the effectiveness and feasibility of the presented method. Journal: International Journal of Systems Science Pages: 1491-1506 Issue: 7 Volume: 49 Year: 2018 Month: 5 X-DOI: 10.1080/00207721.2018.1457731 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1457731 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:7:p:1491-1506 Template-Type: ReDIF-Article 1.0 Author-Name: Wangkui Liu Author-X-Name-First: Wangkui Author-X-Name-Last: Liu Author-Name: Guangren Duan Author-X-Name-First: Guangren Author-X-Name-Last: Duan Title: Direct parametric attitude tracking control for generic hypersonic vehicle Abstract: This paper considers the attitude tracking problem for the generic hypersonic vehicle (GHV). First, the second-order nonlinear GHV attitude model is introduced. Second, by utilising the direct parametric approach, a modified parametric controller composed of the parametric state proportional plus derivative feedback controller and the feedforward controller is proposed. With application of the first part, the closed-loop system is a constant linear system with desired eigenstructures, and the second part is used to ensure the asymptotic tracking property of the outputs of the GHV attitude system. Since the control input of the established GHV attitude model is moment command, an algorithm that transforms the moment commands into the fins deflection command is proposed. Finally, the effectiveness of the proposed parametric controller and transform algorithm is illustrated by the numerical simulation results. Journal: International Journal of Systems Science Pages: 1507-1517 Issue: 7 Volume: 49 Year: 2018 Month: 5 X-DOI: 10.1080/00207721.2018.1457732 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1457732 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:7:p:1507-1517 Template-Type: ReDIF-Article 1.0 Author-Name: Qinghua Meng Author-X-Name-First: Qinghua Author-X-Name-Last: Meng Author-Name: Tingting Zhao Author-X-Name-First: Tingting Author-X-Name-Last: Zhao Author-Name: Chunjiang Qian Author-X-Name-First: Chunjiang Author-X-Name-Last: Qian Author-Name: Zong-yao Sun Author-X-Name-First: Zong-yao Author-X-Name-Last: Sun Author-Name: Panpan Ge Author-X-Name-First: Panpan Author-X-Name-Last: Ge Title: Integrated stability control of AFS and DYC for electric vehicle based on non-smooth control Abstract: A controller which ensures the driving stability of a four-wheel-independent-drive electric vehicle (4WID-EV) is designed in this paper. The controller is structurally hierarchically designed. In order to keep the 4WID-EV running steadily, an upper-level controller integrating the active front-wheel steering control method (AFS) and direct yaw moment control method (DYC) is designed to keep the sideslip angle and yaw rate tracking the ideal values. A non-smooth control method is used to improve the closed-loop system's convergence and anti-disturbance performance. The additional yaw moment generated by the upper-level controller is distributed to four driving wheels by the lower-level controller. An optimal control algorithm is used in the lower-level controller to achieve the minimum sum of tire utilisation, and ensure the power performance and driving stability of the 4WID-EV. In order to verify the effectiveness of the designed controller, a simulation model of the stability control system is established based on Carsim-Matlab/Simulink. And the simulation is performed under double lane change road considering the disturbances. The results of the simulation show that the 4WID-EV with the designed controller achieves smaller sideslip angle than sliding-mode control and the actuator chatter is slight. Then the stability and safety of the 4WID-EV are greatly improved. Journal: International Journal of Systems Science Pages: 1518-1528 Issue: 7 Volume: 49 Year: 2018 Month: 5 X-DOI: 10.1080/00207721.2018.1460410 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1460410 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:7:p:1518-1528 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaowu Mu Author-X-Name-First: Xiaowu Author-X-Name-Last: Mu Author-Name: Xihui Wu Author-X-Name-First: Xihui Author-X-Name-Last: Wu Title: Second-order consensus of multi-agent systems with noises via intermittent control Abstract: Second-order consensus of multi-agent systems with noises via intermittent control is investigated in this paper. First, we study the mean-square consensus problem with communication noises by intermittent control. In order to reach consensus, under the strong directed interacted topology, by using the tools of graph theory and Lyapunov method, a distributed control protocol is proposed based on the noises and periodical intermittent information. The upper bound of noise strength in the sense of matrix norm and the lower bound of communication time duration are obtained. Second, a class of coupled system models which include delay-terms in their nonlinearities in the noisy environment is discussed. Under the balanced strongly connected topology, the sufficient conditions to achieve the mean-square average-consensus are obtained. Finally, simulations are given to illustrate the effectiveness of our results. Journal: International Journal of Systems Science Pages: 1529-1539 Issue: 7 Volume: 49 Year: 2018 Month: 5 X-DOI: 10.1080/00207721.2018.1460411 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1460411 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:7:p:1529-1539 Template-Type: ReDIF-Article 1.0 Author-Name: Jawhar Ghommam Author-X-Name-First: Jawhar Author-X-Name-Last: Ghommam Author-Name: Sami El Ferik Author-X-Name-First: Sami El Author-X-Name-Last: Ferik Author-Name: Maarouf Saad Author-X-Name-First: Maarouf Author-X-Name-Last: Saad Title: Robust adaptive path-following control of underactuated marine vessel with off-track error constraint Abstract: In this paper, a new robust adaptive controller is investigated to force an underactuated surface marine vessel to follow a predefined parameterised path at a desired speed, despite actuator saturation and the presence of model uncertainties as well as environmental disturbances induced by waves, wind and sea-currents. To ensure robustness of the path-following controller, time-varying constraint on the off-track error (i.e. the maximal distance from the ship to the reference path) is considered. To address the off-track error constraint the tan-barrier Lyapunov function is incorporated with the control scheme, where the idea of auxiliary design system introduced in Chen, Sam, and Ren (2011) is adopted and its states are used in combination with backstepping and Lyapunov synthesis to adaptive tracking control design with guaranteed stability. Furthermore, the command filters are adopted to implement physical constraints on the virtual control laws so that analytic differentiation of the virtual control laws is avoided. We show that the proposed robust adaptive control law is able to guarantee semi-global uniform ultimate bounded stability of the closed-loop system. Numerical simulations and experimental results are carried out to demonstrate the effectiveness of the proposed algorithm. Journal: International Journal of Systems Science Pages: 1540-1558 Issue: 7 Volume: 49 Year: 2018 Month: 5 X-DOI: 10.1080/00207721.2018.1460412 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1460412 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:7:p:1540-1558 Template-Type: ReDIF-Article 1.0 Author-Name: Changming Cheng Author-X-Name-First: Changming Author-X-Name-Last: Cheng Author-Name: Zhike Peng Author-X-Name-First: Zhike Author-X-Name-Last: Peng Author-Name: Xingjian Dong Author-X-Name-First: Xingjian Author-X-Name-Last: Dong Author-Name: Wenming Zhang Author-X-Name-First: Wenming Author-X-Name-Last: Zhang Author-Name: Guang Meng Author-X-Name-First: Guang Author-X-Name-Last: Meng Title: Impulse response function identification of linear mechanical systems based on Kautz basis expansion with multiple poles Abstract: The impulse response function (IRF) identification of linear mechanical systems is important in many engineering applications. This paper proposes a novel IRF identification method of linear systems based on Kautz basis expansion with multiple poles. In order to reduce the parameters to be identified, the IRF is expanded in terms of orthogonal Kautz functions with multiple poles, and the poles in Kautz functions should be optimised. This allows the identification of IRF for linear mechanical systems operated under more than one mode, such as systems under the white noise excitation or the swept frequency excitation with a wide range of frequency, and can improve the identification accuracy. Furthermore, based on the backpropagation through-time technique and the expectation maximisation algorithm, a pole optimisation algorithm is presented in this paper. The simulation studies verify the effectiveness of the proposed IRF identification method. Journal: International Journal of Systems Science Pages: 1559-1571 Issue: 7 Volume: 49 Year: 2018 Month: 5 X-DOI: 10.1080/00207721.2018.1463408 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1463408 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:7:p:1559-1571 Template-Type: ReDIF-Article 1.0 Author-Name: Jin Wei Author-X-Name-First: Jin Author-X-Name-Last: Wei Author-Name: Yue Wu Author-X-Name-First: Yue Author-X-Name-Last: Wu Author-Name: Jiuxiang Dong Author-X-Name-First: Jiuxiang Author-X-Name-Last: Dong Title: Actuator and sensor faults estimation for discrete-time descriptor linear parameter-varying systems in finite frequency domain Abstract: This paper investigates the problem of fault estimation for discrete-time descriptor linear parameter-varying systems with actuator faults, sensor faults and external disturbances. First, in order to estimate the actuator and sensor faults simultaneously, an augmented system is constructed, where the auxiliary state vector consists of the original state vector and the sensor fault vector. Then, considering the fact that many faults usually occur in finite frequency ranges, a novel fault estimation observer with finite frequency specifications is designed, where the conservatism can be reduced compared with the traditional fault estimation design methods in full frequency domain. By employing the generalised Kalman–Yakubovich–Popov lemma and two finite frequency H ∞ performance indices, the sufficient conditions of the proposed observer are given in terms of linear matrix inequalities. Furthermore, by using slack variables, improved results on the fault estimation observer design are obtained, which are convenient to calculate fault estimation observer parameters for different frequency ranges. An example is presented to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1572-1585 Issue: 7 Volume: 49 Year: 2018 Month: 5 X-DOI: 10.1080/00207721.2018.1463409 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1463409 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:7:p:1572-1585 Template-Type: ReDIF-Article 1.0 Author-Name: Chinyao Low Author-X-Name-First: Chinyao Author-X-Name-Last: Low Author-Name: Wen-Yi Lin Author-X-Name-First: Wen-Yi Author-X-Name-Last: Lin Title: Single machine group scheduling with learning effects and past-sequence-dependent setup times Abstract: In most studies, the learning effect model applied in a scheduling problem assumes that the actual processing time of a job is a function of its scheduled position or the sum of the normal processing times of the jobs already scheduled. In this article, we introduce a learning effect model and a past-sequence-dependent (psd) setup time into a single machine group scheduling problem. The actual processing time of a job in each group is a function of the sum of the normal processing times of the jobs already scheduled and the position of the corresponding job group in the sequence. It shows that the addressed problem remains polynomially solvable for the objectives: minimisation of the makespan and the total completion time. It also shows that the smallest processing time rule provides the optimal jobs sequence in each group and the optimal group sequence for the addressed problem, respectively. Journal: International Journal of Systems Science Pages: 1-8 Issue: 1 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721003731629 File-URL: http://hdl.handle.net/10.1080/00207721003731629 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:1:p:1-8 Template-Type: ReDIF-Article 1.0 Author-Name: Mourad Kchaou Author-X-Name-First: Mourad Author-X-Name-Last: Kchaou Author-Name: Mansour Souissi Author-X-Name-First: Mansour Author-X-Name-Last: Souissi Author-Name: Ahmed Toumi Author-X-Name-First: Ahmed Author-X-Name-Last: Toumi Title: A new approach to non-fragile observer-based control for discrete-time fuzzy systems Abstract: In this article, a new approach regarding H∞ and non-fragile stability analysis and observer-based controller synthesis problem for a class of discrete-time fuzzy systems is investigated. The multiplicative gain variations under consideration are contained in both the controller gain and observer gain. By defining a basis-dependent Lyapunov function and introducing some additional matrix variables, new sufficient conditions are derived to guarantee the stability of the non-fragile H∞ observer-based control system. Seeking computational convenience, the developed results are cast in the format of linear matrix inequalities and two numerical examples are presented to illustrate the feasibility of theoretical developments. Journal: International Journal of Systems Science Pages: 9-20 Issue: 1 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721003753409 File-URL: http://hdl.handle.net/10.1080/00207721003753409 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:1:p:9-20 Template-Type: ReDIF-Article 1.0 Author-Name: Wenlei Li Author-X-Name-First: Wenlei Author-X-Name-Last: Li Title: Tracking control of chaotic coronary artery system Abstract: The tracking control problem of chaotic coronary artery systems with dynamic uncertainties and unknown parameters is addressed. The unknown system parameters are adaptively identified, and the exogenous disturbances are attenuated by Nussbaum-type functions based on a backstepping method. The developed adaptive robust controller guarantees that the closed-loop system is globally and uniformly bounded, and the tracking error is convergent to a small neighbourhood of zero. In addition, the desired performance can be achieved by an appropriate choice of the design parameters of the controller, and the singular problem can be avoided. Simulation results demonstrate that the developed adaptive nonlinear tracking controller can drive the output of a chaotic coronary artery system into the normal orbit with good robustness and adaptability. Journal: International Journal of Systems Science Pages: 21-30 Issue: 1 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721003764125 File-URL: http://hdl.handle.net/10.1080/00207721003764125 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:1:p:21-30 Template-Type: ReDIF-Article 1.0 Author-Name: Dong-Cherng Lin Author-X-Name-First: Dong-Cherng Author-X-Name-Last: Lin Title: Adaptive weighting input estimation for nonlinear systems Abstract: This work determines the time-varying load, called input, in a nonlinear system using a novel input estimation inverse algorithm. The algorithm employs the linearised Kalman filter (LKF) with a recursive estimator to determine shocks. The LKF generates the residual innovation sequences, and the estimator uses the residual innovation sequences to evaluate the magnitudes and, therefore, the onset time histories of the shocks. Based on this regression equation, a recursive least-squares estimator weighting by an adaptive fading factor is used to estimate on-line the shocks involving measurement noise and modelling errors. Numerical simulations of a nonlinear system, Duffing's equation, demonstrate the accuracy of the proposed method, adaptive weighting input estimation. Simulation results show that the proposed method improves the accuracy, efficiency and robustness of the conventional input estimation approach. Journal: International Journal of Systems Science Pages: 31-40 Issue: 1 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721003764141 File-URL: http://hdl.handle.net/10.1080/00207721003764141 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:1:p:31-40 Template-Type: ReDIF-Article 1.0 Author-Name: Haryong Song Author-X-Name-First: Haryong Author-X-Name-Last: Song Author-Name: Kyung Lee Author-X-Name-First: Kyung Author-X-Name-Last: Lee Author-Name: Vladimir Shin Author-X-Name-First: Vladimir Author-X-Name-Last: Shin Title: Two fusion predictors for continuous-time linear systems with different types of observations Abstract: This article proposes new fusion predictors for continuous-time linear systems with different types of observations. The fusion predictors are formed by the summation of the local Kalman estimators (filters and predictors) with matrix weights depending only on time instants. Both fusion predictors represent the optimal linear combination of an arbitrary number of local Kalman estimators and each is fused by the minimum mean square error criterion. As a consequence of the parallel structure of the proposed predictors, parallel computers can be used for their design. This article also establishes the relationship between fusion predictors. High accuracy and computational efficiency of the fusion predictors are demonstrated through several examples, including the damper harmonic oscillator motion with a multisensory environment. Journal: International Journal of Systems Science Pages: 41-49 Issue: 1 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721003768159 File-URL: http://hdl.handle.net/10.1080/00207721003768159 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:1:p:41-49 Template-Type: ReDIF-Article 1.0 Author-Name: Yang Liu Author-X-Name-First: Yang Author-X-Name-Last: Liu Author-Name: Yingmin Jia Author-X-Name-First: Yingmin Author-X-Name-Last: Jia Title: consensus control for multi-agent systems with linear coupling dynamics and communication delays Abstract: This article is devoted to the consensus control problem of a network of autonomous agents with linear coupling dynamics, subject to external disturbances and communication delays, and proposes a distributed state feedback protocol. By applying H∞ theory of linear systems, delay-independent and -dependent conditions in terms of linear matrix inequalities (LMIs) are both derived to ensure consensus of the multi-agent system with a prescribed H∞ disturbance attenuation index, and the undetermined feedback matrix of the proposed protocol is further solved accordingly. A simulation example is included to validate the theoretical results. Journal: International Journal of Systems Science Pages: 50-62 Issue: 1 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721003768167 File-URL: http://hdl.handle.net/10.1080/00207721003768167 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:1:p:50-62 Template-Type: ReDIF-Article 1.0 Author-Name: Ching-Chih Tsai Author-X-Name-First: Ching-Chih Author-X-Name-Last: Tsai Author-Name: Cheng-Kain Chan Author-X-Name-First: Cheng-Kain Author-X-Name-Last: Chan Author-Name: Yi Yu Li Author-X-Name-First: Yi Yu Author-X-Name-Last: Li Title: Adaptive nonlinear velocity tracking using RBFNN for linear DC brushless motor Abstract: This article presents an adaptive H∞ nonlinear velocity control for a linear DC brushless motor. A simplified model of this motor with friction is briefly recalled. The friction dynamics is described by the Lu Gre model and the online tuning radial basis function neural network (RBFNN) is used to parameterise the nonlinear friction function and un-modelled errors. An adaptive nonlinear H∞ control method is then proposed to achieve velocity tracking, by assuming that the upper bounds of the ripple force, the changeable load and the nonlinear friction can be learned by the RBFNN. The closed-loop system is proven to be uniformly bounded using the Lyapunov stability theory. The feasibility and the efficacy of the proposed control are exemplified by conducting two velocity tracking experiments. Journal: International Journal of Systems Science Pages: 63-72 Issue: 1 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721003768183 File-URL: http://hdl.handle.net/10.1080/00207721003768183 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:1:p:63-72 Template-Type: ReDIF-Article 1.0 Author-Name: Yanjun Shen Author-X-Name-First: Yanjun Author-X-Name-Last: Shen Author-Name: Yuehua Huang Author-X-Name-First: Yuehua Author-X-Name-Last: Huang Title: Global finite-time stabilisation for a class of nonlinear systems Abstract: Finite-time stability is investigated for a class of nonlinear systems and a new design is presented for globally finite-time stabilising feedback, extending the results obtained in Huang, Lin, and Yang (2005) [‘Global Finite-time Stabilization of a Class of Uncertain Nonlinear Systems’, Automatica, 41, 881–888]. The new method may achieve accelerated convergence speed and reduced settling time. An example verifies the feasibility and effectiveness of the proposed design. Journal: International Journal of Systems Science Pages: 73-78 Issue: 1 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721003770569 File-URL: http://hdl.handle.net/10.1080/00207721003770569 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:1:p:73-78 Template-Type: ReDIF-Article 1.0 Author-Name: Lu Liu Author-X-Name-First: Lu Author-X-Name-Last: Liu Author-Name: Jie Xu Author-X-Name-First: Jie Author-X-Name-Last: Xu Author-Name: Duncan Russell Author-X-Name-First: Duncan Author-X-Name-Last: Russell Author-Name: John Davies Author-X-Name-First: John Author-X-Name-Last: Davies Author-Name: David Webster Author-X-Name-First: David Author-X-Name-Last: Webster Author-Name: Zongyang Luo Author-X-Name-First: Zongyang Author-X-Name-Last: Luo Author-Name: Colin Venters Author-X-Name-First: Colin Author-X-Name-Last: Venters Title: Dynamic service integration for reliable and sustainable capability provision Abstract: The move towards network enabled capability (NEC) by the UK Ministry of Defence is designed to achieve enhanced military effect through the networking and coherent integration of existing and future resources including sensors, weapon systems and decision-makers to achieve a more flexible and responsive military. This article addresses the existing reliability and sustainability issues of large-scale military systems and proposes new architectural approaches of dynamic service integration for NEC to adapt to evolution occurring in services and capability for constructing next-generation software-intensive military systems. The reliability and performance of the proposed architectural approaches have been verified through modelling and simulation of service-oriented architecture for NEC and demonstrated through developing and testing a NEC system for a region surveillance capability scenario. The experimental results indicate that the proposed architectural approaches provide a high level of reliability and sustainability in the provision of NEC. Journal: International Journal of Systems Science Pages: 79-96 Issue: 1 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721003774736 File-URL: http://hdl.handle.net/10.1080/00207721003774736 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:1:p:79-96 Template-Type: ReDIF-Article 1.0 Author-Name: I.M. Boiko Author-X-Name-First: I.M. Author-X-Name-Last: Boiko Title: Loop tuning with specification on gain and phase margins via modified second-order sliding mode control algorithm Abstract: The modified second-order sliding mode algorithm is used for controller tuning. Namely, the modified suboptimal algorithm-based test (modified SOT) and non-parametric tuning rules for proportional-integral-derivative (PID) controllers are presented in this article. In the developed method of test and tuning, the idea of coordinated selection of the test parameters and the controller tuning parameters is introduced. The proposed approach allows for the formulation of simple non-parametric tuning rules for PID controllers that provide desired amplitude or phase margins exactly. In the modified SOT, the frequency of the self-excited oscillations can be generated equal to either the phase crossover frequency or the magnitude crossover frequency of the open-loop system frequency response (including a future PID controller) – depending on the tuning method choice. The first option will provide tuning with specification on gain margin, and the second option will ensure tuning with specification on phase margin. Tuning rules for a PID controller and simulation examples are provided. Journal: International Journal of Systems Science Pages: 97-104 Issue: 1 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721003790344 File-URL: http://hdl.handle.net/10.1080/00207721003790344 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:1:p:97-104 Template-Type: ReDIF-Article 1.0 Author-Name: Przemysław Ignaciuk Author-X-Name-First: Przemysław Author-X-Name-Last: Ignaciuk Author-Name: Andrzej Bartoszewicz Author-X-Name-First: Andrzej Author-X-Name-Last: Bartoszewicz Title: LQ optimal and reaching law-based sliding modes for inventory management systems Abstract: In this article, the theory of discrete sliding-mode control is used to design new supply strategies for periodic-review inventory systems. In the considered systems, the stock used to fulfil an unknown, time-varying demand can be replenished from a single supply source or from multiple suppliers procuring orders with different delays. The proposed strategies guarantee that demand is always entirely satisfied from the on-hand stock (yielding the maximum service level), and the warehouse capacity is not exceeded (which eliminates the cost of emergency storage). In contrast to the classical, stochastic approaches, in this article, we focus on optimising the inventory system dynamics. The parameters of the first control strategy are selected by minimising a quadratic cost functional. Next, it is shown how the system dynamical performance can be improved by applying the concept of a reaching law with the appropriately adjusted reaching phase. The stable, nonoscillatory behaviour of the closed-loop system is demonstrated and the properties of the designed controllers are discussed and strictly proved. Journal: International Journal of Systems Science Pages: 105-116 Issue: 1 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721003793108 File-URL: http://hdl.handle.net/10.1080/00207721003793108 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:1:p:105-116 Template-Type: ReDIF-Article 1.0 Author-Name: Xiang-Gui Guo Author-X-Name-First: Xiang-Gui Author-X-Name-Last: Guo Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Delay-dependent reliable filtering for sector-bounded nonlinear continuous-time systems with time-varying state delays and sensor failures Abstract: In this article, the reliable H∞ filtering problem against sensor failures is investigated for a class of continuous-time systems with simultaneous sector-bounded nonlinearities and varying time delays. The focus of this article is on designing a reliable filter such that the filtering error system is asymptotically stable and meets the prescribed H∞ norm constraint in the normal case as well as in the sensor failure case simultaneously. Linear matrix inequality conditions, which depend not only on the upper and lower bounds of delay but also on the upper bound of delay derivative, are obtained for the existence of admissible filters and, based on these, the filter design is cast into a convex optimisation problem. What is worth mentioning is that the information about the upper bound of the delay derivative is taken into consideration even if this upper bound is not smaller than 1. A numerical example is presented to illustrate the effectiveness and advantage of the developed filter design method. Journal: International Journal of Systems Science Pages: 117-131 Issue: 1 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721003793116 File-URL: http://hdl.handle.net/10.1080/00207721003793116 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:1:p:117-131 Template-Type: ReDIF-Article 1.0 Author-Name: Wen-Hung Kuo Author-X-Name-First: Wen-Hung Author-X-Name-Last: Kuo Author-Name: Dar-Li Yang Author-X-Name-First: Dar-Li Author-X-Name-Last: Yang Title: Single-machine scheduling with deteriorating jobs Abstract: In this article, we study a single-machine scheduling problem in which the processing time of a job is a nonlinear function of its basic processing time and starting time. The objectives are to minimise the makespan, the sum of weighted completion times and the sum of the kth powers of completion times. We show that the makespan minimisation problem can be solved in polynomial time. However, the total completion time and the sum of the kth powers of completion times minimisation problems can be solved in polynomial time in some cases. Besides, some useful properties are also provided for the sum of weighted completion times problem under certain conditions. Journal: International Journal of Systems Science Pages: 132-139 Issue: 1 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721003802263 File-URL: http://hdl.handle.net/10.1080/00207721003802263 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:1:p:132-139 Template-Type: ReDIF-Article 1.0 Author-Name: Zhihai Wu Author-X-Name-First: Zhihai Author-X-Name-Last: Wu Author-Name: Huajing Fang Author-X-Name-First: Huajing Author-X-Name-Last: Fang Title: Delayed-state-derivative feedback for improving consensus performance of second-order delayed multi-agent systems Abstract: In this article, delayed-state-derivative feedback is introduced into the existing delayed consensus protocol for improving the robustness against communication delay and the convergence speed of reaching the consensus simultaneously. Frequency-domain analysis and algebra graph theory are employed to derive the sufficient and necessary condition guaranteeing the second-order delayed multi-agent system applying the consensus protocol with the delayed-state-derivative feedback to achieve the stationary consensus asymptotically. It is proved that introducing delayed-state-derivative feedback with the proper intensity can improve the robustness against communication delay and that for two particular kinds of second-order delayed multi-agent systems, introducing the delayed-state-derivative feedback can also accelerate the convergence speed, provided that the intensity of the delayed-state-derivative feedback is chosen properly. Simulations are provided to demonstrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 140-152 Issue: 1 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721003802289 File-URL: http://hdl.handle.net/10.1080/00207721003802289 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:1:p:140-152 Template-Type: ReDIF-Article 1.0 Author-Name: W.C. Tsai Author-X-Name-First: W.C. Author-X-Name-Last: Tsai Title: Comparison of fuzzy numbers based on preference Abstract: Ranking fuzzy numbers plays an important role in a fuzzy decision-making process. However, fuzzy numbers may not be easily ordered into one sequence due to the overlap between them. A new approach is introduced to detect the overlapped fuzzy numbers based on the concept of similarity measure, incorporating the preference of the decision-maker into the fuzzy ranking process. Numerical examples and comparisons with other methods are presented to evaluate the new method. The computational process of the proposed method is straightforward and is practically capable of comparing similar fuzzy numbers. The proposed method is an absolute ranking and no pairwise comparison of fuzzy numbers is necessary. Furthermore, through some examples discussed in this work, it is proved that the proposed method possesses several good characteristics compared to other methods examined in this work. Journal: International Journal of Systems Science Pages: 153-162 Issue: 1 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.481366 File-URL: http://hdl.handle.net/10.1080/00207721.2010.481366 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:1:p:153-162 Template-Type: ReDIF-Article 1.0 Author-Name: Min-Chun Yu Author-X-Name-First: Min-Chun Author-X-Name-Last: Yu Author-Name: Mark Goh Author-X-Name-First: Mark Author-X-Name-Last: Goh Title: Time-bound product returns and optimal order quantities for mass merchandisers Abstract: The return guidelines for a mass merchandiser usually entail a grace period, a markdown on the original price and the condition of the returned items. This research utilises eight scenarios formed from the variation of possible return guidelines to model the cost functions of single-product categories for a typical mass merchandiser. Models for the eight scenarios are developed and solved with the objective of maximising the expected profit so as to obtain closed form solutions for the associated optimal order quantity. An illustrative example and sensitivity analysis are provided to demonstrate the applicability of the model. Our results show that merchandisers who allow for returns within a time window, albeit with a penalty cost imposed and the returned products being recoverable, should plan for larger order amounts as such products do not affect the business. Similarly, the merchandisers who allow for returns beyond a grace period and without any penalty charges, but where the returned products are irrecoverable, should manage their stocks in this category more judiciously by ordering as little as possible so as to limit the number of returns and carefully consider the effects of their customer satisfaction-guaranteed policies, if any. Journal: International Journal of Systems Science Pages: 163-179 Issue: 1 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.481367 File-URL: http://hdl.handle.net/10.1080/00207721.2010.481367 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:1:p:163-179 Template-Type: ReDIF-Article 1.0 Author-Name: Yi-Shao Huang Author-X-Name-First: Yi-Shao Author-X-Name-Last: Huang Author-Name: Zhong-Xiang Huang Author-X-Name-First: Zhong-Xiang Author-X-Name-Last: Huang Author-Name: De-Qun Zhou Author-X-Name-First: De-Qun Author-X-Name-Last: Zhou Author-Name: Xiao-Xin Chen Author-X-Name-First: Xiao-Xin Author-X-Name-Last: Chen Author-Name: Qi-Xin Zhu Author-X-Name-First: Qi-Xin Author-X-Name-Last: Zhu Author-Name: Hui Yang Author-X-Name-First: Hui Author-X-Name-Last: Yang Title: Decentralised indirect adaptive output feedback fuzzy tracking design for a class of large-scale nonlinear systems Abstract: A novel decentralised indirect adaptive output feedback fuzzy controller with a compensation controller and an H∞ tracking controller is presented for a class of uncertain large-scale nonlinear systems in this article. The compensator adaptively compensates for interconnections between subsystems as well as mismatched errors, while the H∞ controller suppresses the effect of external disturbances. Based upon the combination of fuzzy inference systems, a state observer, H∞ tracking technique and the strictly positive real condition, the proposed overall observer-based decentralised algorithm guarantees not only asymptotical tracking of reference trajectories but also an arbitrary small attenuation level of the unmodelled error dynamics including the disturbances on the tracking control. Simulation results substantiate the effectiveness of the proposed scheme. Journal: International Journal of Systems Science Pages: 180-191 Issue: 1 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.487949 File-URL: http://hdl.handle.net/10.1080/00207721.2010.487949 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:1:p:180-191 Template-Type: ReDIF-Article 1.0 Author-Name: Liping Yin Author-X-Name-First: Liping Author-X-Name-Last: Yin Author-Name: Lei Guo Author-X-Name-First: Lei Author-X-Name-Last: Guo Title: Joint stochastic distribution tracking control for multivariate descriptor systems with non-gaussian variables Abstract: This article considers a new tracking control problem for a class of nonlinear stochastic descriptor systems where the tracked target is a given joint probability density function (JPDF). The controlled plants can be represented by multivariate discrete-time descriptor systems with non-Gaussian disturbances and nonlinear output equations. The control objective is to find crisp algorithms such that the conditional output JPDFs can follow the given target JPDF. A direct relationship is established between the JPDFs of the transformed tracking error and the stochastic input. An optimisation approach is presented such that the distances between the output JPDF and the desired one are minimised. Furthermore, a stabilisation suboptimal control strategy is proposed using the linear matrix inequality-based Lyapunov theory. Finally, simulations are provided to demonstrate the effectiveness of the stochastic tracking control algorithms. Journal: International Journal of Systems Science Pages: 192-200 Issue: 1 Volume: 43 Year: 2011 X-DOI: 10.1080/00207721.2010.488754 File-URL: http://hdl.handle.net/10.1080/00207721.2010.488754 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2011:i:1:p:192-200 Template-Type: ReDIF-Article 1.0 Author-Name: Deyuan Meng Author-X-Name-First: Deyuan Author-X-Name-Last: Meng Author-Name: Yingmin Jia Author-X-Name-First: Yingmin Author-X-Name-Last: Jia Author-Name: Junping Du Author-X-Name-First: Junping Author-X-Name-Last: Du Title: H∞ approach to monotonically convergent ILC for uncertain time-varying delay systems Abstract: This paper deals with iterative learning control (ILC) design for uncertain time-delay systems. Monotonic convergence of the resulting ILC process is studied, and a sufficient condition within an H∞-based framework is developed. It is shown that under this framework, delay-dependent conditions can be obtained in terms of linear matrix inequalities (LMIs), together with formulas for gain matrices design. A numerical example is provided to illustrate the effectiveness of the robust H∞-based approach to ILC designed via LMIs. Journal: International Journal of Systems Science Pages: 209-217 Issue: 2 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.775392 File-URL: http://hdl.handle.net/10.1080/00207721.2013.775392 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:2:p:209-217 Template-Type: ReDIF-Article 1.0 Author-Name: Jinghao Li Author-X-Name-First: Jinghao Author-X-Name-Last: Li Author-Name: Qingling Zhang Author-X-Name-First: Qingling Author-X-Name-Last: Zhang Author-Name: Xing-Gang Yan Author-X-Name-First: Xing-Gang Author-X-Name-Last: Yan Title: Stabilisation of descriptor Markovian jump systems with partially unknown transition probabilities Abstract: This paper is concerned with the stability and stabilisation problems for continuous-time descriptor Markovian jump systems with partially unknown transition probabilities. In terms of a set of coupled linear matrix inequalities (LMIs), a necessary and sufficient condition is firstly proposed, which ensures the systems to be regular, impulse-free and stochastically stable. Moreover, the corresponding necessary and sufficient condition on the existence of a mode-dependent state-feedback controller, which guarantees the closed-loop systems stochastically admissible by employing the LMI technique, is derived; the stabilizing state-feedback gain can also be expressed via solutions of the LMIs. Finally, numerical examples are given to demonstrate the validity of the proposed methods. Journal: International Journal of Systems Science Pages: 218-226 Issue: 2 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.775394 File-URL: http://hdl.handle.net/10.1080/00207721.2013.775394 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:2:p:218-226 Template-Type: ReDIF-Article 1.0 Author-Name: Saeed Kamelian Author-X-Name-First: Saeed Author-X-Name-Last: Kamelian Author-Name: Karim Salahshoor Author-X-Name-First: Karim Author-X-Name-Last: Salahshoor Title: A novel graph-based partitioning algorithm for large-scale dynamical systems Abstract: In this paper, a novel graph-based system partitioning approach is proposed to facilitate the design of distributed or decentralised control in large-scale dynamical systems. In large-scale dynamical systems, a decomposition method is required to determine a suitable set of distributed subsystems and their relevant variables. In the proposed approach, a decomposition algorithm starts to generate an overall graph representation of the system model in the form of a new weighted digraph on the basis of a sensitivity analysis concept to quantify the coupling strengths among the system variables in terms of graph edge weights. The produced weighted digraph and its structural information are then used to partition the system model. All the potential system control inputs are first characterised as the main graph vertices, representing fixed subsystems centres. Then, the remaining vertices, representing system states or outputs, are assigned to the created subgraphs. Once the initial grouping is accordingly formed, a merging routine is automatically conducted to merge the small subgraphs in other subgraphs in an iterative searching way to find the smaller cut sizes. Each time a merging occurs, the total cost of the merged configuration, being defined in terms of an averaged linear quadratic regulator (LQR) metric, is used as a novel dynamic performance metric versus total group number reduction to terminate the algorithm for the best grouping result. A chemical industrial process plant is used as a benchmark to assess performance of the proposed methodology to fulfil the system partitioning objective. The output result of the algorithm is then comparatively used for a decentralised non-linear model-based predictive control methodology to demonstrate its ultimate merits. Journal: International Journal of Systems Science Pages: 227-245 Issue: 2 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.775395 File-URL: http://hdl.handle.net/10.1080/00207721.2013.775395 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:2:p:227-245 Template-Type: ReDIF-Article 1.0 Author-Name: Toshio Yoshimura Author-X-Name-First: Toshio Author-X-Name-Last: Yoshimura Title: Adaptive fuzzy sliding mode control for uncertain multi-input multi-output discrete-time systems using a set of noisy measurements Abstract: This paper is concerned with the design of an adaptive fuzzy sliding mode control (AFSMC) for uncertain nonlinear multi-input multi-output (MIMO) dynamic systems using a set of noisy measurements. The dynamic systems to be considered here are described by a discrete-time nonlinear state equation with mismatched uncertainties, and the states are measured by the restriction of measurement sensors and the contamination of independent random noises. The estimates for the unmeasurable states and the uncertainties are obtained by using the weighted extended Kalman filter. In the design of the proposed AFSMC, the adaptive switching factor characterising the switching control is designed using the fuzzy inference approach where the unknown gain of the switching control is assumed to be a positive definite matrix. It is proved that under some conditions the estimation errors will converge to zero as the time tends to infinity, and the states are ultimately bounded under the action of the proposed AFSMC. The effectiveness of the proposed method is indicated through the simulation experiment of an active suspension system for a half-car model. Journal: International Journal of Systems Science Pages: 255-270 Issue: 2 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.776722 File-URL: http://hdl.handle.net/10.1080/00207721.2013.776722 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:2:p:255-270 Template-Type: ReDIF-Article 1.0 Author-Name: S. Li Author-X-Name-First: S. Author-X-Name-Last: Li Author-Name: Z. Yu Author-X-Name-First: Z. Author-X-Name-Last: Yu Author-Name: M. Dong Author-X-Name-First: M. Author-X-Name-Last: Dong Title: Construct the stable vendor managed inventory partnership through a profit-sharing approach Abstract: In real life, the vendor managed inventory (VMI) model is not always a stable supply chain partnership. This paper proposes a cooperative game based profit-sharing method to stabilize the VMI partnership. Specifically, in a B2C setting, we consider a VMI program including a manufacturer and multiple online retailers. The manufacturer provides the finished product at the equal wholesale price to multiple online retailers. The online retailers face the same customer demand information. We offer the model to compute the increased profits generated by information sharing for total possible VMI coalitions. Using the solution concept of Shapley value, the profit-sharing scheme is produced to fairly divide the total increased profits among the VMI members. We find that under a fair allocation scheme, the higher inventory cost of one VMI member increases the surplus of the other members. Furthermore, the manufacturer is glad to increase the size of VMI coalition, whereas, the retailers are delighted to limit the size of the alliance. Finally, the manufacturer can select the appropriate retailer to boost its surplus, which has no effect on the surplus of the other retailers. The numerical examples indicate that the grand coalition is stable under the proposed allocation scheme. Journal: International Journal of Systems Science Pages: 271-283 Issue: 2 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.777982 File-URL: http://hdl.handle.net/10.1080/00207721.2013.777982 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:2:p:271-283 Template-Type: ReDIF-Article 1.0 Author-Name: Ping Chen Author-X-Name-First: Ping Author-X-Name-Last: Chen Author-Name: Jing Yang Author-X-Name-First: Jing Author-X-Name-Last: Yang Author-Name: Linyuan Li Author-X-Name-First: Linyuan Author-X-Name-Last: Li Title: Synthetic detection of change point and outliers in bilinear time series models Abstract: This paper proposes a procedure of synthetic detection for the location of a change point and outliers in bilinear time series models with a change after an unknown time point. Based on Bayesian framework, we first derive the conditional posterior distribution of the change point and from that distribution estimate the position of the change point. Then we use these results to detect the outliers in the time series before and after that change point via Gibbs sampler algorithm. Our simulation studies show that the proposed procedure is effective. Journal: International Journal of Systems Science Pages: 284-293 Issue: 2 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.777983 File-URL: http://hdl.handle.net/10.1080/00207721.2013.777983 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:2:p:284-293 Template-Type: ReDIF-Article 1.0 Author-Name: Lun-Hui Lee Author-X-Name-First: Lun-Hui Author-X-Name-Last: Lee Author-Name: Pei-Hsiang Huang Author-X-Name-First: Pei-Hsiang Author-X-Name-Last: Huang Author-Name: Shing-Tai Pan Author-X-Name-First: Shing-Tai Author-X-Name-Last: Pan Author-Name: Handra Wijaya Lie Author-X-Name-First: Handra Wijaya Author-X-Name-Last: Lie Author-Name: Tung-Chien Chiang Author-X-Name-First: Tung-Chien Author-X-Name-Last: Chiang Author-Name: Cheng-Yuan Chang Author-X-Name-First: Cheng-Yuan Author-X-Name-Last: Chang Title: Applying vision feedback to crane controller design Abstract: Encoders are generally used to track the motion of industrial mechanisms. However, the information obtained by encoders may have errors due to encoder aging or mechanism-design problem. Therefore, information by visual feedback is a better way to track the movement of industrial mechanisms. However, image information costs lots of computing effort so it is not easy to be used in real-time control applications. This manuscript derives a simple but effective visual feedback method to follow the target and the image information is obtained only by a general handy camcorder. Besides, the proposed method can track multi-locations in a meantime. Fast image pattern recognition and localisation of the colour histogram by using a moving tracking block is applied to increase the calculation speed. Finally, the obtained locations information by the proposed visual feedback method is applied in an industrial crane control system to verify the effectiveness. Journal: International Journal of Systems Science Pages: 294-302 Issue: 2 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.779762 File-URL: http://hdl.handle.net/10.1080/00207721.2013.779762 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:2:p:294-302 Template-Type: ReDIF-Article 1.0 Author-Name: Jean-Francois Dupuis Author-X-Name-First: Jean-Francois Author-X-Name-Last: Dupuis Author-Name: Zhun Fan Author-X-Name-First: Zhun Author-X-Name-Last: Fan Author-Name: Erik Goodman Author-X-Name-First: Erik Author-X-Name-Last: Goodman Title: Evolutionary design of discrete controllers for hybrid mechatronic systems Abstract: This paper investigates the issue of evolutionary design of controllers for hybrid mechatronic systems. Finite State Automaton (FSA) is selected as the representation for a discrete controller due to its interpretability, fast execution speed and natural extension to a statechart, which is very popular in industrial applications. A case study of a two-tank system is used to demonstrate that the proposed evolutionary approach can lead to a successful design of an FSA controller for the hybrid mechatronic system, represented by a hybrid bond graph. Generalisation of the evolved FSA controller to unknown control targets is also tested. Further, a comparison with another type of controller, a lookahead controller, is conducted, with advantages and disadvantages of each discussed. The comparison sheds light on which type of controller representation is a better choice to use in various stages of the evolutionary design of controllers for hybrid mechatronic systems. Finally, some important future research directions are pointed out, leading to the major work of the succeeding part of the research. Journal: International Journal of Systems Science Pages: 303-316 Issue: 2 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.783643 File-URL: http://hdl.handle.net/10.1080/00207721.2013.783643 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:2:p:303-316 Template-Type: ReDIF-Article 1.0 Author-Name: Chang-Cong Zhou Author-X-Name-First: Chang-Cong Author-X-Name-Last: Zhou Author-Name: Zhen-Zhou Lu Author-X-Name-First: Zhen-Zhou Author-X-Name-Last: Lu Author-Name: Bo Ren Author-X-Name-First: Bo Author-X-Name-Last: Ren Title: Point estimate-based importance analysis for structural models with correlated variables Abstract: Importance analysis is conducted to find the contributions of the inputs to the output uncertainty. In this work, a point estimate-based importance analysis algorithm is established for models involving correlated input variables, and the variance contribution by an individual correlated input variable is decomposed into correlated contribution and uncorrelated contribution. In the established algorithm, the correlated variables are orthogonalised to generate corresponding independent variables, and the performance function is reconstructed in the independence space. Then, the point estimate is employed to compute the variance-based importance measures in the independence space, by which the variance contribution of the original correlated variables, including the correlated part and uncorrelated part, can be obtained. Different point estimate methods can be employed in the proposed algorithm; thus, the algorithm is adaptable and improvable. The proposed algorithm avoids the sampling procedure, which usually consumes a heavy computational cost. Discussion of numerical and engineering examples in this work has demonstrated that the proposed algorithm provides an effective tool to deal with uncertainty analysis involving correlated inputs. Journal: International Journal of Systems Science Pages: 317-331 Issue: 2 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.783645 File-URL: http://hdl.handle.net/10.1080/00207721.2013.783645 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:2:p:317-331 Template-Type: ReDIF-Article 1.0 Author-Name: Daniel Yuh Chao Author-X-Name-First: Daniel Yuh Author-X-Name-Last: Chao Title: On the lower bound of monitor solutions of maximally permissive supervisors for a subclass α-S3PR of flexible manufacturing systems Abstract: Recently, a novel and computationally efficient method – based on a vector covering approach – to design optimal control places and an iteration approach that computes the reachability graph to obtain a maximally permissive liveness enforcing supervisor for FMS (flexible manufacturing systems) have been reported. However, it is unclear as to the relationship between the structure of the net and the minimal number of monitors required. This paper develops a theory to show that the minimal number of monitors required cannot be less than that of basic siphons in α-S3PR (systems of simple sequential processes with resources). This confirms that two of the three controlled systems by Chen et al. are of a minimal monitor configuration since they belong to α-S3PR and their number in each example equals that of basic siphons. Journal: International Journal of Systems Science Pages: 332-339 Issue: 2 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.783946 File-URL: http://hdl.handle.net/10.1080/00207721.2013.783946 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:2:p:332-339 Template-Type: ReDIF-Article 1.0 Author-Name: Yi-Kuei Lin Author-X-Name-First: Yi-Kuei Author-X-Name-Last: Lin Author-Name: Ping-Chen Chang Author-X-Name-First: Ping-Chen Author-X-Name-Last: Chang Title: A novel model for a manufacturing system with joint production lines in terms of prior-set Abstract: A novel model integrating transformation and decomposition techniques is proposed to construct a manufacturing system with joint production lines as a multi-state manufacturing network (MMN). Reworking actions and different defect rates of workstations are both taken into account in the MMN model. The capacity analysis and performance evaluation are implemented accordingly. In particular, a technique in terms of ‘prior-set’ is developed to deal with multiple reworking actions. Subsequently, two simple algorithms are proposed to generate all minimal capacity vectors that workstations should provide to satisfy a given demand. In terms of such vectors, the probability of demand satisfaction can be derived. Such a probability is referred to as the system reliability, which is a performance indicator to state the capability of the MMN. According to each specific minimal capacity vector, the production manager may further determine a better strategy to produce products. Journal: International Journal of Systems Science Pages: 340-354 Issue: 2 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.783947 File-URL: http://hdl.handle.net/10.1080/00207721.2013.783947 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:2:p:340-354 Template-Type: ReDIF-Article 1.0 Author-Name: Youngmo Han Author-X-Name-First: Youngmo Author-X-Name-Last: Han Title: Robust gaze-steering of an active vision system against errors in the estimated parameters Abstract: Gaze-steering is often used to broaden the viewing range of an active vision system. Gaze-steering procedures are usually based on estimated parameters such as image position, image velocity, depth and camera calibration parameters. However, there may be uncertainties in these estimated parameters because of measurement noise and estimation errors. In this case, robust gaze-steering cannot be guaranteed. To compensate for such problems, this paper proposes a gaze-steering method based on a linear matrix inequality (LMI). In this method, we first propose a proportional derivative (PD) control scheme on the unit sphere that does not use depth parameters. This proposed PD control scheme can avoid uncertainties in the estimated depth and camera calibration parameters, as well as inconveniences in their estimation process, including the use of auxiliary feature points and highly non-linear computation. Furthermore, the control gain of the proposed PD control scheme on the unit sphere is designed using LMI such that the designed control is robust in the presence of uncertainties in the other estimated parameters, such as image position and velocity. Simulation results demonstrate that the proposed method provides a better compensation for uncertainties in the estimated parameters than the contemporary linear method and steers the gaze of the camera more steadily over time than the contemporary non-linear method. Journal: International Journal of Systems Science Pages: 355-363 Issue: 2 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.783948 File-URL: http://hdl.handle.net/10.1080/00207721.2013.783948 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:2:p:355-363 Template-Type: ReDIF-Article 1.0 Author-Name: Zhan Su Author-X-Name-First: Zhan Author-X-Name-Last: Su Author-Name: Qingling Zhang Author-X-Name-First: Qingling Author-X-Name-Last: Zhang Author-Name: Jun Ai Author-X-Name-First: Jun Author-X-Name-Last: Ai Author-Name: Xin Sun Author-X-Name-First: Xin Author-X-Name-Last: Sun Title: Finite-time fuzzy stabilisation and control for nonlinear descriptor systems with non-zero initial state Abstract: For nonlinear descriptor systems, this paper presents an approach to obtain a fuzzy controller with guaranteed finite-time stability and finite-time boundedness with non-zero initial state, which outperforms some recent work and additionally provides a precision estimation of model approximation. We prove necessary and sufficient conditions of finite-time stability and finite-time boundedness with non-zero initial state for nonlinear descriptor systems. Using Takagi–Sugeno fuzzy dynamic models and proposed sufficient conditions, we define fuzzy sets and use linear matrix inequalities to satisfy differential linear matrix inequalities. A simulation confirms efficiency and precision of the given method. Journal: International Journal of Systems Science Pages: 364-376 Issue: 2 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.783949 File-URL: http://hdl.handle.net/10.1080/00207721.2013.783949 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:2:p:364-376 Template-Type: ReDIF-Article 1.0 Author-Name: Ziye Zhang Author-X-Name-First: Ziye Author-X-Name-Last: Zhang Author-Name: Chong Lin Author-X-Name-First: Chong Author-X-Name-Last: Lin Author-Name: Bing Chen Author-X-Name-First: Bing Author-X-Name-Last: Chen Title: New stability criteria for linear time-delay systems using complete LKF method Abstract: This paper focuses on the stability test for linear systems with time-varying delay and provides new stability conditions in terms of linear matrix inequalities (LMIs). The basic idea is the use of complete Lyapunov–Krasovskii functional (LKF) method and the derivation employs the discretisation technique and the reciprocally convex combination. The main feature of this work lies in that the present result not only leads to some improvements over existing results in the LMI framework but also is applicable for time-delay systems with unstable delay-free case. Three numerical examples are given to show the effectiveness and merits of the present result. Journal: International Journal of Systems Science Pages: 377-384 Issue: 2 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2013.794906 File-URL: http://hdl.handle.net/10.1080/00207721.2013.794906 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:2:p:377-384 Template-Type: ReDIF-Article 1.0 Author-Name: Chunnan Lin Author-X-Name-First: Chunnan Author-X-Name-Last: Lin Author-Name: Quanjun Wu Author-X-Name-First: Quanjun Author-X-Name-Last: Wu Author-Name: Lan Xiang Author-X-Name-First: Lan Author-X-Name-Last: Xiang Author-Name: Jin Zhou Author-X-Name-First: Jin Author-X-Name-Last: Zhou Title: Pinning impulsive directed coupled delayed dynamical network and its applications Abstract: The main objective of the present paper is to further investigate pinning synchronisation of a complex delayed dynamical network with directionally coupling by a single impulsive controller. By developing the analysis procedure of pinning impulsive stability for undirected coupled dynamical network previously, some simple yet general criteria of pinning impulsive synchronisation for such directed coupled network are derived analytically. It is shown that a single impulsive controller can always pin a given directed coupled network to a desired homogenous solution, including an equilibrium point, a periodic orbit, or a chaotic orbit. Subsequently, the theoretical results are illustrated by a directed small-world complex network which is a cellular neural network (CNN) and a directed scale-free complex network with the well-known Hodgkin–Huxley neuron oscillators. Numerical simulations are finally given to demonstrate the effectiveness of the proposed control methodology. Journal: International Journal of Systems Science Pages: 193-208 Issue: 2 Volume: 46 Year: 2015 Month: 1 X-DOI: 10.1080/00207721.2014.962646 File-URL: http://hdl.handle.net/10.1080/00207721.2014.962646 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:2:p:193-208 Template-Type: ReDIF-Article 1.0 Author-Name: M. Montazeri-Gh Author-X-Name-First: M. Author-X-Name-Last: Montazeri-Gh Author-Name: M. Asadi Author-X-Name-First: M. Author-X-Name-Last: Asadi Title: Intelligent approach for parallel HEV control strategy based on driving cycles Abstract: This article describes a methodological approach for the intelligent control of parallel hybrid electric vehicle (HEV) by the inclusion of the concept of driving cycles. In this approach, a fuzzy logic controller is designed to manage the internal combustion engine to work in the vicinity of its optimal condition instantaneously. In addition, based on the definition of microtrip, several driving patterns are classified that represent the congested to highway traffic conditions. The driving cycle and traffic conditions are then incorporated in an optimisation process to tune the fuzzy membership function parameters. In this study, the optimisation process is formulated to minimise the HEV fuel consumption (FC) and emissions as well as the satisfaction of the driving performance constraints. Finally, optimisation results are provided for three different driving cycles including ECE-EUDC, FTP and TEH-CAR. TEH-CAR is a driving cycle that is developed based on the experimental data collected from the real traffic condition in the city of Tehran. The results from the computer simulation show the effectiveness of the approach and reduction in FC and emissions while ensuring that the vehicle performance is not sacrificed. Journal: International Journal of Systems Science Pages: 287-302 Issue: 2 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720902957228 File-URL: http://hdl.handle.net/10.1080/00207720902957228 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:2:p:287-302 Template-Type: ReDIF-Article 1.0 Author-Name: J. Lauber Author-X-Name-First: J. Author-X-Name-Last: Lauber Author-Name: T.M. Guerra Author-X-Name-First: T.M. Author-X-Name-Last: Guerra Author-Name: M. Dambrine Author-X-Name-First: M. Author-X-Name-Last: Dambrine Title: Air-fuel ratio control in a gasoline engine Abstract: The aim of this article is to design an air-fuel ratio control law for a gasoline IC engine. The air-fuel ratio is measured by a lambda sensor in the exhaust manifold. As a consequence, a variable transport delay arises in the model considered. A non-linear control approach based on a Takagi–Sugeno's model of the system is used. Then, two structures of control law are compared based on parallel distributed compensation control laws, which take into account the variable time delay. Finally, some simulations are given to show the efficiency of the developed control law. Journal: International Journal of Systems Science Pages: 277-286 Issue: 2 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720902957236 File-URL: http://hdl.handle.net/10.1080/00207720902957236 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:2:p:277-286 Template-Type: ReDIF-Article 1.0 Author-Name: W. Lhomme Author-X-Name-First: W. Author-X-Name-Last: Lhomme Author-Name: R. Trigui Author-X-Name-First: R. Author-X-Name-Last: Trigui Author-Name: A. Bouscayrol Author-X-Name-First: A. Author-X-Name-Last: Bouscayrol Author-Name: P. Delarue Author-X-Name-First: P. Author-X-Name-Last: Delarue Author-Name: B. Jeanneret Author-X-Name-First: B. Author-X-Name-Last: Jeanneret Author-Name: F. Badin Author-X-Name-First: F. Author-X-Name-Last: Badin Title: Inversion-based control of a vehicle with a clutch using a switched causal modelling Abstract: The modelling of a clutch in a power train transmission is a delicate process because of its non-linear behaviour. Two different states have to be taken into account: when the clutch is locked and when the clutch is slipping. Moreover the clutch has often to be controlled automatically in parallel hybrid electric vehicles (HEVs). An energetic macroscopic representation (EMR) of a clutch system has been developed. Both clutch states are genuinely taken into account in a physical way. In this article, EMR leads to organise the control scheme of the clutch system using an inversion methodology. An experimental validation is provided on a conventional vehicle before being implemented on parallel HEVs. Experimental results are provided to validate the clutch model and the inversion-based control. Journal: International Journal of Systems Science Pages: 319-334 Issue: 2 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903072373 File-URL: http://hdl.handle.net/10.1080/00207720903072373 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:2:p:319-334 Template-Type: ReDIF-Article 1.0 Author-Name: D. Gladwin Author-X-Name-First: D. Author-X-Name-Last: Gladwin Author-Name: P. Stewart Author-X-Name-First: P. Author-X-Name-Last: Stewart Author-Name: J. Stewart Author-X-Name-First: J. Author-X-Name-Last: Stewart Title: Internal combustion engine control for series hybrid electric vehicles by parallel and distributed genetic programming/multiobjective genetic algorithms Abstract: This article addresses the problem of maintaining a stable rectified DC output from the three-phase AC generator in a series-hybrid vehicle powertrain. The series-hybrid prime power source generally comprises an internal combustion (IC) engine driving a three-phase permanent magnet generator whose output is rectified to DC. A recent development has been to control the engine/generator combination by an electronically actuated throttle. This system can be represented as a nonlinear system with significant time delay. Previously, voltage control of the generator output has been achieved by model predictive methods such as the Smith Predictor. These methods rely on the incorporation of an accurate system model and time delay into the control algorithm, with a consequent increase in computational complexity in the real-time controller, and as a necessity relies to some extent on the accuracy of the models. Two complementary performance objectives exist for the control system. Firstly, to maintain the IC engine at its optimal operating point, and secondly, to supply a stable DC supply to the traction drive inverters. Achievement of these goals minimises the transient energy storage requirements at the DC link, with a consequent reduction in both weight and cost. These objectives imply constant velocity operation of the IC engine under external load disturbances and changes in both operating conditions and vehicle speed set-points. In order to achieve these objectives, and reduce the complexity of implementation, in this article a controller is designed by the use of Genetic Programming methods in the Simulink modelling environment, with the aim of obtaining a relatively simple controller for the time-delay system which does not rely on the implementation of real time system models or time delay approximations in the controller. A methodology is presented to utilise the miriad of existing control blocks in the Simulink libraries to automatically evolve optimal control structures. Journal: International Journal of Systems Science Pages: 249-261 Issue: 2 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903144479 File-URL: http://hdl.handle.net/10.1080/00207720903144479 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:2:p:249-261 Template-Type: ReDIF-Article 1.0 Author-Name: J.T. Economou Author-X-Name-First: J.T. Author-X-Name-Last: Economou Author-Name: K. Knowles Author-X-Name-First: K. Author-X-Name-Last: Knowles Author-Name: A. Tsourdos Author-X-Name-First: A. Author-X-Name-Last: Tsourdos Author-Name: B.A. White Author-X-Name-First: B.A. Author-X-Name-Last: White Title: Fuzzy-hybrid land vehicle driveline modelling based on a moving window subtractive clustering approach Abstract: In this article, the fuzzy-hybrid modelling (FHM) approach is used and compared to the input–output system Takagi–Sugeno (TS) modelling approach which correlates the drivetrain power flow equations with the vehicle dynamics. The output power relations were related to the drivetrain bounded efficiencies and also to the wheel slips. The model relates also to the wheel and ground interactions via suitable friction coefficient models relative to the wheel slip profiles. The wheel slip had a significant efficiency contribution to the overall driveline system efficiency. The peak friction slip and peak coefficient of friction values are known a priori during the analysis. Lastly, the rigid body dynamical power has been verified through both simulation and experimental results. The mathematical analysis has been supported throughout the paper via experimental data for a specific electric robotic vehicle. The identification of the localised and input–output TS models for the fuzzy hybrid and the experimental data were obtained utilising the subtractive clustering (SC) methodology. These results were also compared to a real-time TS SC approach operating on periodic time windows. This article concludes with the benefits of the real-time FHM method for the vehicle electric driveline due to the advantage of both the analytical TS sub-model and the physical system modelling for the remaining process which can be clearly utilised for control purposes. Journal: International Journal of Systems Science Pages: 303-317 Issue: 2 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903199572 File-URL: http://hdl.handle.net/10.1080/00207720903199572 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:2:p:303-317 Template-Type: ReDIF-Article 1.0 Author-Name: John T. Economou Author-X-Name-First: John T. Author-X-Name-Last: Economou Author-Name: Thierry-Marie Guerra Author-X-Name-First: Thierry-Marie Author-X-Name-Last: Guerra Author-Name: Antonios Tsourdos Author-X-Name-First: Antonios Author-X-Name-Last: Tsourdos Author-Name: Brian White Author-X-Name-First: Brian Author-X-Name-Last: White Title: Computational intelligence for modelling and control of advanced automotive drivetrains Journal: Pages: 247-247 Issue: 2 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.515664 File-URL: http://hdl.handle.net/10.1080/00207721.2010.515664 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:2:p:247-247 Template-Type: ReDIF-Article 1.0 Author-Name: A. Plianos Author-X-Name-First: A. Author-X-Name-Last: Plianos Author-Name: R.K. Stobart Author-X-Name-First: R.K. Author-X-Name-Last: Stobart Title: Nonlinear airpath control of modern diesel powertrains: a fuzzy systems approach Abstract: In this article, an adaptive dynamic feedback linearisation (DFL) control design for the air-path system of diesel engines with uncertain parameters and external driver commands is proposed. First, the linearising control law is derived for the nominal diesel plant. It achieves tracking of suitable references (corresponding to low emissions and fuel consumption) for both the air–fuel ratio and the fraction of the recirculated exhaust gas. The engine model used for control design is formulated as a Takagi–Sugeno fuzzy model, and a fuzzy estimation algorithm is used to identify the plant parameters. Then, the identified parameters are used to adapt the controller online. The simulated diesel engine is a medium duty Caterpillar 3126B with six cylinders, equipped with a variable geometry turbocharger and an exhaust gas recirculation valve. The proposed controller design is based on the reduced third-order mean value model and implemented as a closed-form DFL control law on the full-order model. The resulting controllers, with and without adaptation, are assessed through simulations with a software-in-the-loop architecture using dSpace simulator. The adaptive controller, in particular, exhibits good control performance, ensuring global stability and tracking of output references with zero steady state offset. Journal: International Journal of Systems Science Pages: 263-275 Issue: 2 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.521864 File-URL: http://hdl.handle.net/10.1080/00207721.2010.521864 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:2:p:263-275 Template-Type: ReDIF-Article 1.0 Author-Name: The Editors Title: Computational intelligence for modelling and control of advanced automotive drivetrains Journal: Pages: 245-245 Issue: 2 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.529732 File-URL: http://hdl.handle.net/10.1080/00207721.2011.529732 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:2:p:245-245 Template-Type: ReDIF-Article 1.0 Author-Name: Xin-Zhuang Dong Author-X-Name-First: Xin-Zhuang Author-X-Name-Last: Dong Title: LMI-based robust admissible control for uncertain singular delta operator systems Abstract: This paper investigates the problem of state feedback robust admissible control for singular delta operator systems with norm-bounded coefficient matrix uncertainties. A necessary and sufficient condition is derived to ensure the admissibility of the closed-loop singular delta operator system for all allowable uncertainties. Then, by specifying the structure of some matrix variables, the existence condition and explicit expression of a robust admissible controller are obtained in terms of strict linear matrix inequalities. Moreover, from the relation between singular discrete systems and singular delta operator systems, the corresponding results are also presented for uncertain singular discrete systems. Finally, some numerical examples are provided to demonstrate the effectiveness of the results in this paper. Journal: International Journal of Systems Science Pages: 2101-2110 Issue: 12 Volume: 46 Year: 2015 Month: 9 X-DOI: 10.1080/00207721.2013.849772 File-URL: http://hdl.handle.net/10.1080/00207721.2013.849772 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:12:p:2101-2110 Template-Type: ReDIF-Article 1.0 Author-Name: Junfeng Zhang Author-X-Name-First: Junfeng Author-X-Name-Last: Zhang Author-Name: Zhengzhi Han Author-X-Name-First: Zhengzhi Author-X-Name-Last: Han Author-Name: Fubo Zhu Author-X-Name-First: Fubo Author-X-Name-Last: Zhu Title: -gain analysis and control synthesis of positive switched systems Abstract: This paper investigates the problems of L1-gain analysis and control synthesis of positive switched systems. Linear supply rates and L1-gain notations are introduced to analyse the performance of the underlying systems. Stability with a weighted L1-gain for autonomous systems are solved by using multiple linear copositive Lyapunov functions incorporated with the average dwell time approach. Then, state-feedback and output-feedback controllers are designed to guarantee the stabilisation with a weighted L1-gain for non-autonomous systems. All present conditions are solvable in terms of linear programming. Finally, a practical example is given to illustrate the validity of theoretical findings. Journal: International Journal of Systems Science Pages: 2111-2121 Issue: 12 Volume: 46 Year: 2015 Month: 9 X-DOI: 10.1080/00207721.2013.849773 File-URL: http://hdl.handle.net/10.1080/00207721.2013.849773 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:12:p:2111-2121 Template-Type: ReDIF-Article 1.0 Author-Name: Quanmin Zhu Author-X-Name-First: Quanmin Author-X-Name-Last: Zhu Author-Name: Yongji Wang Author-X-Name-First: Yongji Author-X-Name-Last: Wang Author-Name: Dongya Zhao Author-X-Name-First: Dongya Author-X-Name-Last: Zhao Author-Name: Shaoyuan Li Author-X-Name-First: Shaoyuan Author-X-Name-Last: Li Author-Name: Stephen A. Billings Author-X-Name-First: Stephen A. Author-X-Name-Last: Billings Title: Review of rational (total) nonlinear dynamic system modelling, identification, and control Abstract: This paper is a summary of the research development in the rational (total) nonlinear dynamic modelling over the last two decades. Total nonlinear dynamic systems are defined as those where the model parameters and input (controller outputs) are subject to nonlinear to the output. Previously, this class of models has been known as rational models, which is a model that can be considered to belong to the nonlinear autoregressive moving average with exogenous input (NARMAX) model subset and is an extension of the well-known polynomial NARMAX model. The justification for using the rational model is that it provides a very concise and parsimonious representation for highly complex nonlinear dynamic systems and has excellent interpolatory and extrapolatory properties. However, model identification and controller design are much more challenging compared to the polynomial models. This has been a new and fascinating research trend in the area of mathematical modelling, control, and applications, but still within a limited research community. This paper brings several representative algorithms together, developed by the authors and their colleagues, to form an easily referenced archive for promotion of the awareness, tutorial, applications, and even further research expansion. Journal: International Journal of Systems Science Pages: 2122-2133 Issue: 12 Volume: 46 Year: 2015 Month: 9 X-DOI: 10.1080/00207721.2013.849774 File-URL: http://hdl.handle.net/10.1080/00207721.2013.849774 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:12:p:2122-2133 Template-Type: ReDIF-Article 1.0 Author-Name: Siavash Fakhimi Derakhshan Author-X-Name-First: Siavash Fakhimi Author-X-Name-Last: Derakhshan Author-Name: Alireza Fatehi Author-X-Name-First: Alireza Author-X-Name-Last: Fatehi Title: Non-monotonic robust H fuzzy observer-based control for discrete time nonlinear systems with parametric uncertainties Abstract: A non-monotonic Lyapunov function (NMLF) is deployed to design a robust H2 fuzzy observer-based control problem for discrete-time nonlinear systems in the presence of parametric uncertainties. The uncertain nonlinear system is presented as a Takagi and Sugeno (T–S) fuzzy model with norm-bounded uncertainties. The states of the fuzzy system are estimated by a fuzzy observer and the control design is established based on a parallel distributed compensation scheme. In order to derive a sufficient condition to establish the global asymptotic stability of the proposed closed-loop fuzzy system, an NMLF is adopted and an upper bound on the quadratic cost function is provided. The existence of a robust H2 fuzzy observer-based controller is expressed as a sufficient condition in the form of linear matrix inequalities (LMIs) and a sub-optimal fuzzy observer-based controller in the sense of cost bound minimization is obtained by utilising the aforementioned LMI optimisation techniques. Finally, the effectiveness of the proposed scheme is shown through an example. Journal: International Journal of Systems Science Pages: 2134-2149 Issue: 12 Volume: 46 Year: 2015 Month: 9 X-DOI: 10.1080/00207721.2013.854941 File-URL: http://hdl.handle.net/10.1080/00207721.2013.854941 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:12:p:2134-2149 Template-Type: ReDIF-Article 1.0 Author-Name: Makiko Okamoto Author-X-Name-First: Makiko Author-X-Name-Last: Okamoto Author-Name: Maruthi R. Akella Author-X-Name-First: Maruthi R. Author-X-Name-Last: Akella Title: Novel potential-function-based control scheme for non-holonomic multi-agent systems to prevent the local minimum problem Abstract: In this paper, we consider a control problem of a non-holonomic multi-agent system. We assume that agents and obstacles are in a circular shaped work area. We propose a novel potential-function-based control scheme that drives agents from the initial to the goal configuration while avoiding collision with other agents, obstacles, and the boundary of the work area. The control scheme enables agents to avoid being trapped at local minima by forcing them to exit from the regions that may contain local minima. A numerical simulation is presented to demonstrate the validity of the proposed control scheme. Journal: International Journal of Systems Science Pages: 2150-2164 Issue: 12 Volume: 46 Year: 2015 Month: 9 X-DOI: 10.1080/00207721.2013.858795 File-URL: http://hdl.handle.net/10.1080/00207721.2013.858795 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:12:p:2150-2164 Template-Type: ReDIF-Article 1.0 Author-Name: Cheng-Dar Liou Author-X-Name-First: Cheng-Dar Author-X-Name-Last: Liou Title: Markovian queue optimisation analysis with an unreliable server subject to working breakdowns and impatient customers Abstract: This study investigates an infinite capacity Markovian queue with a single unreliable service station, in which the customers may balk (do not enter) and renege (leave the queue after entering). The unreliable service station can be working breakdowns even if no customers are in the system. The matrix-analytic method is used to compute the steady-state probabilities for the number of customers, rate matrix and stability condition in the system. The single-objective model for cost and bi-objective model for cost and expected waiting time are derived in the system to fit in with practical applications. The particle swarm optimisation algorithm is implemented to find the optimal combinations of parameters in the pursuit of minimum cost. Two different approaches are used to identify the Pareto optimal set and compared: the epsilon-constraint method and non-dominate sorting genetic algorithm. Compared results allow using the traditional optimisation approach epsilon-constraint method, which is computationally faster and permits a direct sensitivity analysis of the solution under constraint or parameter perturbation. The Pareto front and non-dominated solutions set are obtained and illustrated. The decision makers can use these to improve their decision-making quality. Journal: International Journal of Systems Science Pages: 2165-2182 Issue: 12 Volume: 46 Year: 2015 Month: 9 X-DOI: 10.1080/00207721.2013.859326 File-URL: http://hdl.handle.net/10.1080/00207721.2013.859326 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:12:p:2165-2182 Template-Type: ReDIF-Article 1.0 Author-Name: Mitra Fouladirad Author-X-Name-First: Mitra Author-X-Name-Last: Fouladirad Author-Name: Antoine Grall Author-X-Name-First: Antoine Author-X-Name-Last: Grall Title: Monitoring and condition-based maintenance with abrupt change in a system’s deterioration rate Abstract: In this paper, the maintenance of a system which undergoes a change in its deterioration rate is considered. The time of change of regime and the parameters after the change are unknown. To deal with unknown change time and unknown parameters, a detection procedure based on a suitable online change detection algorithm is used. The paper proposes a maintenance decision rule versus detection policy in order to minimise the long-run average maintenance cost, and the performances of this policy are studied through numerical implementations. Journal: International Journal of Systems Science Pages: 2183-2194 Issue: 12 Volume: 46 Year: 2015 Month: 9 X-DOI: 10.1080/00207721.2013.859327 File-URL: http://hdl.handle.net/10.1080/00207721.2013.859327 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:12:p:2183-2194 Template-Type: ReDIF-Article 1.0 Author-Name: Yinyin Xu Author-X-Name-First: Yinyin Author-X-Name-Last: Xu Author-Name: Shaocheng Tong Author-X-Name-First: Shaocheng Author-X-Name-Last: Tong Author-Name: Yongming Li Author-X-Name-First: Yongming Author-X-Name-Last: Li Title: Adaptive fuzzy decentralised fault-tolerant control for nonlinear large-scale systems with actuator failures and unmodelled dynamics Abstract: This paper discusses the adaptive fuzzy decentralised fault-tolerant control (FTC) problem for a class of nonlinear large-scale systems in strict-feedback form. The systems under study contain the unknown nonlinearities, unmodelled dynamics, actuator faults and without the direct measurements of state variables. With the help of fuzzy logic systems identifying the unknown functions and a fuzzy adaptive observer is designed to estimate the unmeasured states. By using the backstepping design technique and the dynamic surface control approach and combining with the changing supply function technique, a fuzzy adaptive FTC scheme is developed. The main features of the proposed control approach are that it can guarantee the closed-loop system to be input–to-state practically stable, and also has the robustness to the unmodelled dynamics. Moreover, it can overcome the so-called problem of ‘explosion of complexity’ existing in the previous literature. Finally, simulation studies are provided to illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 2195-2209 Issue: 12 Volume: 46 Year: 2015 Month: 9 X-DOI: 10.1080/00207721.2013.859328 File-URL: http://hdl.handle.net/10.1080/00207721.2013.859328 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:12:p:2195-2209 Template-Type: ReDIF-Article 1.0 Author-Name: Yu Zhang Author-X-Name-First: Yu Author-X-Name-Last: Zhang Author-Name: Cheng Wang Author-X-Name-First: Cheng Author-X-Name-Last: Wang Title: Robust stochastic stability of uncertain discrete-time impulsive Markovian jump delay systems with multiplicative noises Abstract: In this paper, the robust stochastic stability is investigated for a class of uncertain discrete-time impulsive Markovian jump delay systems with multiplicative noises. Using the method of stochastic Lyapunov functionals construction, it is shown that impulses can stabilise the original impulse-free unstable systems. Moreover, the stability property of the impulse-free systems can be retained in the cases of appropriately large impulsive time interval. Some numerical examples are exploited to demonstrate the effectiveness and the superiority of the proposed results. Journal: International Journal of Systems Science Pages: 2210-2220 Issue: 12 Volume: 46 Year: 2015 Month: 9 X-DOI: 10.1080/00207721.2013.859329 File-URL: http://hdl.handle.net/10.1080/00207721.2013.859329 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:12:p:2210-2220 Template-Type: ReDIF-Article 1.0 Author-Name: Mingming Ji Author-X-Name-First: Mingming Author-X-Name-Last: Ji Author-Name: Xing He Author-X-Name-First: Xing Author-X-Name-Last: He Author-Name: Weidong Zhang Author-X-Name-First: Weidong Author-X-Name-Last: Zhang Title: Dynamic quantised feedback stabilisation of discrete-time linear system with white noise input Abstract: In this paper, we mainly focus on the problem of quantised feedback stabilisation of a stochastic discrete-time linear system with white noise input. The dynamic quantiser is used here. The stability of the system under state quantisation and input quantisation is analysed in detail, respectively. Both the convergence of the state's mean and the boundedness of the state's covariance matrix norm should be considered when analysing its stability. It is shown that for the two situations of the state quantisation and the input quantisation, if the system without noise input can be stabilised by a linear feedback law, it must be stabilised by the dynamic quantised feedback control policy. The sufficient conditions that the dynamic quantiser should satisfy are given. Using the results obtained in this paper, one can test whether the stochastic system is stabilisable or not. Numerical examples are given to show the effectiveness of the results. Journal: International Journal of Systems Science Pages: 2221-2230 Issue: 12 Volume: 46 Year: 2015 Month: 9 X-DOI: 10.1080/00207721.2013.859330 File-URL: http://hdl.handle.net/10.1080/00207721.2013.859330 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:12:p:2221-2230 Template-Type: ReDIF-Article 1.0 Author-Name: Lingzhi Wang Author-X-Name-First: Lingzhi Author-X-Name-Last: Wang Author-Name: Fucai Qian Author-X-Name-First: Fucai Author-X-Name-Last: Qian Author-Name: Jun Liu Author-X-Name-First: Jun Author-X-Name-Last: Liu Title: The PDF shape control of the state variable for a class of stochastic systems Abstract: The shape control of probability density function (PDF) is an important subject in stochastic systems. The PDF-shaping control study has ranged from linear systems to non-linear systems. In this paper we present a PDF-shaping control technique which is useful for a class of non-linear stochastic systems. Controlling the PDF shape requires designing a controller to make the state PDF follow the goal PDF; it is actually to determine the gains of the controller. As we know, the stationary PDF of the state variable is equivalent to the solution of the Fokker–Planck–Kolmogorov (FPK) equation arising from the stochastic system driven with Gaussian white noise. After designing the controller, we derive the solution with some parameters to the corresponding FPK equation, and then solve out the parameters in the solution by the linear-least-squares method, therefore obtaining the gains of the controller. Finally, simulation experiments have been carried out to verify the effectiveness of the approach. Journal: International Journal of Systems Science Pages: 2231-2239 Issue: 12 Volume: 46 Year: 2015 Month: 9 X-DOI: 10.1080/00207721.2013.860201 File-URL: http://hdl.handle.net/10.1080/00207721.2013.860201 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:12:p:2231-2239 Template-Type: ReDIF-Article 1.0 Author-Name: Gia-Shie Liu Author-X-Name-First: Gia-Shie Author-X-Name-Last: Liu Title: Combination methods to solve the availability–redundancy optimisation problem for repairable parallel–series systems Abstract: This study combines a new developed redundancy allocation heuristic approach, tabu search method, simulated annealing method and non-equilibrium simulated annealing method with a genetic algorithm to solve the system availability optimisation problem. Through four proposed combination methods applied in the initial system development period, the optimal allocations of component redundancy number, reliability level and maintenance rate can be obtained to minimise the total system cost under different configuration constraints. The sensitivity analysis is also conducted based on system weight, system volume, subsystem reliability requirement levels, the cost parameters associated with the reliability level and maintenance rate to provide very helpful information for the system design and development process. Finally, the performance comparison between four proposed combination availability optimisation methods is also implemented and the results clearly show that the combination method combining the new developed redundancy allocation heuristic approach with the genetic algorithm performs better than the other three combination methods in many aspects. Journal: International Journal of Systems Science Pages: 2240-2257 Issue: 12 Volume: 46 Year: 2015 Month: 9 X-DOI: 10.1080/00207721.2013.860636 File-URL: http://hdl.handle.net/10.1080/00207721.2013.860636 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:12:p:2240-2257 Template-Type: ReDIF-Article 1.0 Author-Name: Kamran Karimi Movahed Author-X-Name-First: Kamran Karimi Author-X-Name-Last: Movahed Author-Name: Zhi-Hai Zhang Author-X-Name-First: Zhi-Hai Author-X-Name-Last: Zhang Title: Robust design of (, ) inventory policy parameters in supply chains with demand and lead time uncertainties Abstract: Demand and lead time uncertainties have significant effects on supply chain behaviour. In this paper, we present a single-product three-level multi-period supply chain with uncertain demands and lead times by using robust techniques to study the managerial insights of the supply chain inventory system under uncertainty. We formulate this problem as a robust mixed-integer linear program with minimised expected cost and total cost variation to determine the optimal (s, S) values of the inventory parameters. Several numerical studies are performed to investigate the supply chain behaviour. Useful guidelines for the design of a robust supply chain are also provided. Results show that the order variance and the expected cost in a supply chain significantly increase when the manufacturer’s review period is an integer ratio of the distributor’s and the retailer’s review periods. Journal: International Journal of Systems Science Pages: 2258-2268 Issue: 12 Volume: 46 Year: 2015 Month: 9 X-DOI: 10.1080/00207721.2013.860637 File-URL: http://hdl.handle.net/10.1080/00207721.2013.860637 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:12:p:2258-2268 Template-Type: ReDIF-Article 1.0 Author-Name: D. Dutta Author-X-Name-First: D. Author-X-Name-Last: Dutta Author-Name: Pavan Kumar Author-X-Name-First: Pavan Author-X-Name-Last: Kumar Title: Application of fuzzy goal programming approach to multi-objective linear fractional inventory model Abstract: In this paper, we propose a model and solution approach for a multi-item inventory problem without shortages. The proposed model is formulated as a fractional multi-objective optimisation problem along with three constraints: budget constraint, space constraint and budgetary constraint on ordering cost of each item. The proposed inventory model becomes a multiple criteria decision-making (MCDM) problem in fuzzy environment. This model is solved by multi-objective fuzzy goal programming (MOFGP) approach. A numerical example is given to illustrate the proposed model. Journal: International Journal of Systems Science Pages: 2269-2278 Issue: 12 Volume: 46 Year: 2015 Month: 9 X-DOI: 10.1080/00207721.2013.860639 File-URL: http://hdl.handle.net/10.1080/00207721.2013.860639 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:12:p:2269-2278 Template-Type: ReDIF-Article 1.0 Author-Name: Y.J. Shi Author-X-Name-First: Y.J. Author-X-Name-Last: Shi Author-Name: R. Li Author-X-Name-First: R. Author-X-Name-Last: Li Author-Name: T.T. Wei Author-X-Name-First: T.T. Author-X-Name-Last: Wei Title: Target-enclosing control for second-order multi-agent systems Abstract: This paper poses the enclosing control problem with identical geometry for a group of targets which are either stationary or moving and offers consensus-based distributed control protocols. An estimator is first introduced to estimate the central position of the targets. We then propose a target-enclosing control law with velocity information based on the centre estimating algorithm and consensus theory. A target-enclosing control law without the velocity information is further designed. The Lyapunov theory and Lasalle’s invariance principle are applied to show the convergence of the proposed control algorithms. Finally, numerical simulations are given to illustrate the effectiveness of our proposed strategy. Journal: International Journal of Systems Science Pages: 2279-2286 Issue: 12 Volume: 46 Year: 2015 Month: 9 X-DOI: 10.1080/00207721.2013.860641 File-URL: http://hdl.handle.net/10.1080/00207721.2013.860641 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:12:p:2279-2286 Template-Type: ReDIF-Article 1.0 Author-Name: Liang Hong Author-X-Name-First: Liang Author-X-Name-Last: Hong Author-Name: Daniel Chao Author-X-Name-First: Daniel Author-X-Name-Last: Chao Title: Controllability of control and mixture weakly dependent siphons in SPR Abstract: Deadlocks in a flexible manufacturing system modelled by Petri nets arise from insufficiently marked siphons. Monitors are added to control these siphons to avoid deadlocks rendering the system too complicated since the total number of monitors grows exponentially. Li and Zhou propose to add monitors only to elementary siphons while controlling the other (strongly or weakly) dependent siphons by adjusting control depth variables. To avoid generating new siphons, the control arcs are ended at source transitions of process nets. This disturbs the original model more and hence loses more live states. Negative terms in the controllability make the control policy for weakly dependent siphons rather conservative. We studied earlier on the controllability of strongly dependent siphons and proposed to add monitors in the order of basic, compound, control, partial mixture and full mixture (strongly dependent) siphons to reduce the number of mixed integer programming iterations and redundant monitors. This article further investigates the controllability of siphons derived from weakly 2-compound siphons. We discover that the controllability for weakly and strongly compound siphons is similar. It no longer holds for control and mixture siphons. Some control and mixture siphons, derived from strongly 2-compound siphons are not redundant – no longer so for those derived from weakly 2-compound siphons; that is all control and mixture siphons are redundant. They do not need to be the conservative one as proposed by Li and Zhou. Thus, we can adopt the maximally permissive control policy even though new siphons are generated. Journal: International Journal of Systems Science Pages: 1377-1385 Issue: 8 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659291 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659291 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:8:p:1377-1385 Template-Type: ReDIF-Article 1.0 Author-Name: Chien-Wei Wu Author-X-Name-First: Chien-Wei Author-X-Name-Last: Wu Title: Process performance evaluation based on Taguchi capability index with the consideration of measurement errors Abstract: Most research works related to process capability analysis are carried out under the assumption of no gauge measurement errors. Unfortunately, such an assumption does not adequately accommodate real-world situations even with modern, highly sophisticated measuring instruments and devices. Estimating and testing process capability without considering gauge measurement errors may often lead to unreliable decisions. Thus, how to accurately measure process performance in the presence of measurement errors becomes a critical and essential task. This article applies the concept of generalised confidence intervals to evaluate process performance based on Taguchi capability index Cpm with the consideration of measurement errors. To investigate the performance of the proposed method, a series of simulations was undertaken. A sensitivity study on the effects of ignoring measurement errors was also carried out. The results reveal that the proposed method performs very well for evaluating process performance when measurement errors are present or not. Journal: International Journal of Systems Science Pages: 1386-1399 Issue: 8 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659292 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659292 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:8:p:1386-1399 Template-Type: ReDIF-Article 1.0 Author-Name: Yi-Kuei Lin Author-X-Name-First: Yi-Kuei Author-X-Name-Last: Lin Title: Reliability evaluation of a multistate network subject to time constraint under routing policy Abstract: A multistate network is a stochastic network composed of multistate arcs in which each arc has several possible capacities and may fail due to failure, maintenance, etc. The quality of a multistate network depends on how to meet the customer's requirements and how to provide the service in time. The system reliability, the probability that a given amount of data can be transmitted through a pair of minimal paths (MPs) simultaneously under the time constraint, is a proper index to evaluate the quality of a multistate network. An efficient solution procedure is first proposed to calculate it. In order to further enhance the system reliability, the network administrator decides the routing policy in advance to indicate the first and the second priority pairs of MPs. The second priority pair of MPs takes charge of the transmission duty if the first fails. The system reliability under the routing policy can be subsequently evaluated. Journal: International Journal of Systems Science Pages: 1400-1408 Issue: 8 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659684 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659684 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:8:p:1400-1408 Template-Type: ReDIF-Article 1.0 Author-Name: Hui Li Author-X-Name-First: Hui Author-X-Name-Last: Li Author-Name: Diego Andina Author-X-Name-First: Diego Author-X-Name-Last: Andina Author-Name: Jie Sun Author-X-Name-First: Jie Author-X-Name-Last: Sun Title: Multiple proportion case-basing driven CBRE and its application in the evaluation of possible failure of firms Abstract: Case-based reasoning (CBR) is a unique tool for the evaluation of possible failure of firms (EOPFOF) for its eases of interpretation and implementation. Ensemble computing, a variation of group decision in society, provides a potential means of improving predictive performance of CBR-based EOPFOF. This research aims to integrate bagging and proportion case-basing with CBR to generate a method of proportion bagging CBR for EOPFOF. Diverse multiple case bases are first produced by multiple case-basing, in which a volume parameter is introduced to control the size of each case base. Then, the classic case retrieval algorithm is implemented to generate diverse member CBR predictors. Majority voting, the most frequently used mechanism in ensemble computing, is finally used to aggregate outputs of member CBR predictors in order to produce final prediction of the CBR ensemble. In an empirical experiment, we statistically validated the results of the CBR ensemble from multiple case bases by comparing them with those of multivariate discriminant analysis, logistic regression, classic CBR, the best member CBR predictor and bagging CBR ensemble. The results from Chinese EOPFOF prior to 3 years indicate that the new CBR ensemble, which significantly improved CBR's predictive ability, outperformed all the comparative methods. Journal: International Journal of Systems Science Pages: 1409-1425 Issue: 8 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659686 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659686 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:8:p:1409-1425 Template-Type: ReDIF-Article 1.0 Author-Name: Qing-Quan Liu Author-X-Name-First: Qing-Quan Author-X-Name-Last: Liu Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Robust stability of parameter uncertain systems with limited data rates Abstract: This article investigates the robust stability problem for parameter uncertain systems with limited data rates. A time-varying recursive allocation (TVRA) algorithm is proposed to solve the modal decomposition and data-rate allocation problems that have to be faced for a multi-dimensional uncertain system. Sufficient conditions for robust stability of the feedback loop are derived. A positive critical lower bound of data rates is presented, below which there exists no quantisation, coding and control scheme to stabilise an unstable parameter uncertain plant. Simulation results show the validity of the proposed scheme. Journal: International Journal of Systems Science Pages: 1426-1437 Issue: 8 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659687 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659687 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:8:p:1426-1437 Template-Type: ReDIF-Article 1.0 Author-Name: M. Karkoub Author-X-Name-First: M. Author-X-Name-Last: Karkoub Author-Name: M.-G. Her Author-X-Name-First: M.-G. Author-X-Name-Last: Her Author-Name: M.-I. Ho Author-X-Name-First: M.-I. Author-X-Name-Last: Ho Author-Name: C.-C. Huang Author-X-Name-First: C.-C. Author-X-Name-Last: Huang Title: Development of a vision non-contact sensing system for telerobotic applications Abstract: The study presented here describes a novel vision-based motion detection system for telerobotic operations such as distant surgical procedures. The system uses a CCD camera and image processing to detect the motion of a master robot or operator. Colour tags are placed on the arm and head of a human operator to detect the up/down, right/left motion of the head as well as the right/left motion of the arm. The motion of the colour tags are used to actuate a slave robot or a remote system. The determination of the colour tags’ motion is achieved through image processing using eigenvectors and colour system morphology and the relative head, shoulder and wrist rotation angles through inverse dynamics and coordinate transformation. A program is used to transform this motion data into motor control commands and transmit them to a slave robot or remote system through wireless internet. The system performed well even in complex environments with errors that did not exceed 2 pixels with a response time of about 0.1 s. The results of the experiments are available at: and Journal: International Journal of Systems Science Pages: 1438-1449 Issue: 8 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659688 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659688 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:8:p:1438-1449 Template-Type: ReDIF-Article 1.0 Author-Name: Shervin Erfani Author-X-Name-First: Shervin Author-X-Name-Last: Erfani Author-Name: Nima Bayan Author-X-Name-First: Nima Author-X-Name-Last: Bayan Title: Characterisation of nonlinear and linear time-varying systems by Laplace transformation Abstract: In this article we elaborate on various characterisations of nonlinear systems. Specifically, we focus on the frequency-domain characterisation of the class of single-input single-output (SISO) linear time-varying (LTV) systems. We use the model introduced by Wiener using Volterra functional and later elaborated by others. The application of the multidimensional Laplace transform (MDLT) method as a fundamental tool in analysing variable systems and understanding system dynamic behaviours is emphasised. In particular, applications of double or two-dimensional Laplace transform (2DLT) for the analysis and synthesis of LTV circuits and systems are detailed. Examples worked out that illustrate the method and demonstrate its validity in the frequency-domain. Journal: International Journal of Systems Science Pages: 1450-1467 Issue: 8 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659689 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659689 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:8:p:1450-1467 Template-Type: ReDIF-Article 1.0 Author-Name: Xiuyu Zhang Author-X-Name-First: Xiuyu Author-X-Name-Last: Zhang Author-Name: Yan Lin Author-X-Name-First: Yan Author-X-Name-Last: Lin Title: Adaptive control for a class of nonlinear time-delay systems preceded by unknown hysteresis Abstract: In this article, a robust adaptive neural dynamic surface control is proposed for a class of time-delay nonlinear systems preceded by saturated hystereses. Compared with the present schemes of dealing with time delay and hystereses input, the main advantages of the proposed scheme are that the prespecified transient and steady-state performance of tracking error can be guaranteed, the computational burden can be greatly reduced and the explosion of complexity problem inherent in backstepping control can be eliminated. Moreover, the utilisation of saturated-type Prandtl–Ishlinskii model makes our scheme more applicable. It is proved that the new scheme can guarantee all the closed-loop signals semiglobally uniformly ultimate bounded. Simulation results are presented to demonstrate the validity of the proposed scheme. Journal: International Journal of Systems Science Pages: 1468-1482 Issue: 8 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659690 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659690 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:8:p:1468-1482 Template-Type: ReDIF-Article 1.0 Author-Name: Yang Tan Author-X-Name-First: Yang Author-X-Name-Last: Tan Author-Name: Michael Weng Author-X-Name-First: Michael Author-X-Name-Last: Weng Title: A discrete-in-time deteriorating inventory model with time-varying demand, variable deterioration rate and waiting-time-dependent partial backlogging Abstract: A new inventory system is considered for deteriorating items in which unsatisfied demands are partially backlogged depending on the waiting time until the next replenishment and deterioration rates are constant, but different from period to period. Time is considered as a discrete variable, which better represents some real-life scenarios. An optimal solution can be easily derived. A sensitivity study is provided through substantial numerical experiments to illustrate the use and robustness of the proposed model. The sensitivity analysis reveals some useful and significant insights. Journal: International Journal of Systems Science Pages: 1483-1493 Issue: 8 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659692 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659692 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:8:p:1483-1493 Template-Type: ReDIF-Article 1.0 Author-Name: Jianping Zhou Author-X-Name-First: Jianping Author-X-Name-Last: Zhou Author-Name: Shengyuan Xu Author-X-Name-First: Shengyuan Author-X-Name-Last: Xu Author-Name: Hao Shen Author-X-Name-First: Hao Author-X-Name-Last: Shen Author-Name: Baoyong Zhang Author-X-Name-First: Baoyong Author-X-Name-Last: Zhang Title: Passivity analysis for uncertain BAM neural networks with time delays and reaction–diffusions Abstract: This article deals with the problem of passivity analysis for delayed reaction–diffusion bidirectional associative memory (BAM) neural networks with weight uncertainties. By using a new integral inequality, we first present a passivity condition for the nominal networks, and then extend the result to the case with linear fractional weight uncertainties. The proposed conditions are expressed in terms of linear matrix inequalities, and thus can be checked easily. Examples are provided to demonstrate the effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 1494-1503 Issue: 8 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659693 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659693 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:8:p:1494-1503 Template-Type: ReDIF-Article 1.0 Author-Name: Thomas Steffen Author-X-Name-First: Thomas Author-X-Name-Last: Steffen Author-Name: Frank Schiller Author-X-Name-First: Frank Author-X-Name-Last: Schiller Author-Name: Michael Blum Author-X-Name-First: Michael Author-X-Name-Last: Blum Author-Name: Roger Dixon Author-X-Name-First: Roger Author-X-Name-Last: Dixon Title: Analysing the reliability of actuation elements in series and parallel configurations for high-redundancy actuation Abstract: A high-redundancy actuator (HRA) is an actuation system composed of a high number of actuation elements, increasing both travel and force above the capability of an individual element. This approach provides inherent fault tolerance: if one of the elements fails, the capabilities of the whole actuator may be reduced, but it retains core functionality. Many different configurations are possible, with different implications for the actuator capability and reliability. This article analyses the reliability of the HRA based on the likelihood of an unacceptable reduction in capability. The analysis of the HRA is a highly structured problem, but it does not fit into known reliability categories (such as the k-out-of-n system), and a fault-tree analysis becomes prohibitively large. Instead, a multi-state systems approach is pursued here, which provides an easy, concise and efficient reliability analysis of the HRA. The resulting probability distribution can be used to find the optimal configuration of an HRA for a given set of requirements. Journal: International Journal of Systems Science Pages: 1504-1521 Issue: 8 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659694 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659694 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:8:p:1504-1521 Template-Type: ReDIF-Article 1.0 Author-Name: Shouwei Zhao Author-X-Name-First: Shouwei Author-X-Name-Last: Zhao Author-Name: Jitao Sun Author-X-Name-First: Jitao Author-X-Name-Last: Sun Title: A geometric method for observability and accessibility of discrete impulsive nonlinear systems Abstract: This article is concerned with the observability and accessibility of discrete impulsive nonlinear systems. A geometric method based on the differential geometric analysis and Lie group investigation is proposed. The infinitesimal invariance principle in Lie group theory is extended to the case of discrete impulsive nonlinear systems. By characterising the infinitesimal principle in terms of the sequences of codistribution and distribution, explicit criteria for the local observability and local accessibility of the system are derived, respectively. Additionally, two examples are provided to show that the criteria are convenient to check. Journal: International Journal of Systems Science Pages: 1522-1532 Issue: 8 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659695 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659695 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:8:p:1522-1532 Template-Type: ReDIF-Article 1.0 Author-Name: Iraj Kheirizad Author-X-Name-First: Iraj Author-X-Name-Last: Kheirizad Author-Name: Ali Jalali Author-X-Name-First: Ali Author-X-Name-Last: Jalali Author-Name: Khosro Khandani Author-X-Name-First: Khosro Author-X-Name-Last: Khandani Title: Stabilisation of unstable FOPDT processes with a single zero by fractional-order controllers Abstract: In this article, stabilisation of unstable first-order-plus-dead-time (FOPDT) processes with a single zero by fractional-order (FO) controllers is investigated. A Nyquist stability criterion-based approach is adopted to derive the conditions for stability. Sufficient stabilisability conditions by FO [proportional integral] controllers and FO-lead–lag controllers are established. In addition, robust stability of the system with these FO controllers is investigated. To illustrate the results, some examples are provided. Journal: International Journal of Systems Science Pages: 1533-1545 Issue: 8 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659696 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659696 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:8:p:1533-1545 Template-Type: ReDIF-Article 1.0 Author-Name: Nikolaos Sofianos Author-X-Name-First: Nikolaos Author-X-Name-Last: Sofianos Author-Name: Yiannis Boutalis Author-X-Name-First: Yiannis Author-X-Name-Last: Boutalis Title: Stable indirect adaptive switching control for fuzzy dynamical systems based on T–S multiple models Abstract: A new indirect adaptive switching fuzzy control method for fuzzy dynamical systems, based on Takagi–Sugeno (T–S) multiple models is proposed in this article. Motivated by the fact that indirect adaptive control techniques suffer from poor transient response, especially when the initialisation of the estimation model is highly inaccurate and the region of uncertainty for the plant parameters is very large, we present a fuzzy control method that utilises the advantages of multiple models strategy. The dynamical system is expressed using the T–S method in order to cope with the nonlinearities. T–S adaptive multiple models of the system to be controlled are constructed using different initial estimations for the parameters while one feedback linearisation controller corresponds to each model according to a specified reference model. The controller to be applied is determined at every time instant by the model which best approximates the plant using a switching rule with a suitable performance index. Lyapunov stability theory is used in order to obtain the adaptive law for the multiple models parameters, ensuring the asymptotic stability of the system while a modification in this law keeps the control input away from singularities. Also, by introducing the next best controller logic, we avoid possible infeasibilities in the control signal. Simulation results are presented, indicating the effectiveness and the advantages of the proposed method. Journal: International Journal of Systems Science Pages: 1546-1565 Issue: 8 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659697 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659697 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:8:p:1546-1565 Template-Type: ReDIF-Article 1.0 Author-Name: Zhiguang Feng Author-X-Name-First: Zhiguang Author-X-Name-Last: Feng Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Author-Name: Zhan Shu Author-X-Name-First: Zhan Author-X-Name-Last: Shu Title: Dissipative control for linear systems by static output feedback Abstract: In this article, the problem of static output-feedback dissipative control is investigated for linear continuous-time system based on an augmented system approach. A necessary and sufficient condition for stability and strict (Q,S,R)-dissipativity of the closed-loop system is established in terms of a matrix inequality with free parametrisation matrix. An equivalent characterisation with some slack matrices for numerical solvability is then proposed. Based on this, a necessary and sufficient condition for the existence of a desired controller is given, and a corresponding iterative algorithm is developed to solve the condition. The effectiveness of results developed in this article is demonstrated by some numerical examples. Journal: International Journal of Systems Science Pages: 1566-1576 Issue: 8 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659698 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659698 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:8:p:1566-1576 Template-Type: ReDIF-Article 1.0 Author-Name: Marco Antonio Cruz-Chávez Author-X-Name-First: Marco Antonio Author-X-Name-Last: Cruz-Chávez Title: Neighbourhood generation mechanism applied in simulated annealing to job shop scheduling problems Abstract: This paper presents a neighbourhood generation mechanism for the job shop scheduling problems (JSSPs). In order to obtain a feasible neighbour with the generation mechanism, it is only necessary to generate a permutation of an adjacent pair of operations in a scheduling of the JSSP. If there is no slack time between the adjacent pair of operations that is permuted, then it is proven, through theory and experimentation, that the new neighbour (schedule) generated is feasible. It is demonstrated that the neighbourhood generation mechanism is very efficient and effective in a simulated annealing. Journal: International Journal of Systems Science Pages: 2673-2685 Issue: 15 Volume: 46 Year: 2015 Month: 11 X-DOI: 10.1080/00207721.2013.876679 File-URL: http://hdl.handle.net/10.1080/00207721.2013.876679 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:15:p:2673-2685 Template-Type: ReDIF-Article 1.0 Author-Name: Xingyu Shi Author-X-Name-First: Xingyu Author-X-Name-Last: Shi Author-Name: Zhongjing Ma Author-X-Name-First: Zhongjing Author-X-Name-Last: Ma Title: An efficient game for vehicle-to-grid coordination problems in smart grids Abstract: Emerging plug-in electric vehicles (PEVs), as distributed energy sources, are promising to provide vehicle-to-grid (V2G) services for power grids, like frequency and voltage regulations, by coordinating their active and reactive power rates. However, due to the autonomy of PEVs, it is challenging how to efficiently schedule the coordination behaviours among these units in a distributed way. In this paper, we formulate the underlying coordination problems as a novel class of Vickrey–Clarke–Groves style (VCG-style) auction games where players, power grids and PEVs do not report a full cost or valuation function but only a multidimensional bid signal: the maximum active and reactive power quantities that a power grid wants and the maximum per unit prices it is willing to pay, and the maximum active and reactive power quantities that a PEV can provide and the minimum per unit prices it asks for. We show the existence of the efficient Nash equilibrium (NE) for the underlying auction games, though there may exist other inefficient NEs. In order to deal with large-scale PEVs, we design games with aggregator players each of which submits bid profiles representing the overall utility for a collection of PEVs, and extend the so-called quantised-progressive second price mechanism to the underlying auction games to implement the efficient NE. Journal: International Journal of Systems Science Pages: 2686-2701 Issue: 15 Volume: 46 Year: 2015 Month: 11 X-DOI: 10.1080/00207721.2013.876680 File-URL: http://hdl.handle.net/10.1080/00207721.2013.876680 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:15:p:2686-2701 Template-Type: ReDIF-Article 1.0 Author-Name: Dong Hwan Lee Author-X-Name-First: Dong Hwan Author-X-Name-Last: Lee Author-Name: Young Hoon Joo Author-X-Name-First: Young Hoon Author-X-Name-Last: Joo Author-Name: Myung Hwan Tak Author-X-Name-First: Myung Hwan Author-X-Name-Last: Tak Title: An asymptotically exact LMI solution to the robust discretisation of LTI systems with polytopic uncertainties and its application to sampled-data control Abstract: In this paper, the problem of robust discretisation of linear time-invariant (LTI) systems with polytopic uncertainties is introduced. More specifically, the main objective is to provide a systematic way to find an approximate discrete-time (DT) model of a continuous-time (CT) plant with uncertainties in polytopic domain. The system matrices of polytopic DT model to be found are expressed as parameter-dependent matrices which are homogeneous polynomials of arbitrary degree with respect to the uncertain variables in the simplex, and is obtained in such a way that the norm between the system matrices and the truncated power series of the exact DT model is minimised while preserving the polytopic structure of the original CT plant. The solution procedures proposed are presented in terms of single-parameter minimisation problems subject to linear matrix inequality (LMI) constraints which are numerically tractable via LMI solvers. Finally, examples are given to show the validity and effectiveness of the proposed techniques. Journal: International Journal of Systems Science Pages: 2702-2714 Issue: 15 Volume: 46 Year: 2015 Month: 11 X-DOI: 10.1080/00207721.2013.878411 File-URL: http://hdl.handle.net/10.1080/00207721.2013.878411 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:15:p:2702-2714 Template-Type: ReDIF-Article 1.0 Author-Name: Kaveh Pashaei Author-X-Name-First: Kaveh Author-X-Name-Last: Pashaei Author-Name: Fattaneh Taghiyareh Author-X-Name-First: Fattaneh Author-X-Name-Last: Taghiyareh Author-Name: Kambiz Badie Author-X-Name-First: Kambiz Author-X-Name-Last: Badie Title: A recursive genetic framework for evolutionary decision-making in problems with high dynamism Abstract: Communication and coordination are the main cores for reaching a constructive agreement among multi-agent systems (MASs). Dividing the overall performance of MAS to individual agents may lead to group learning as opposed to individual learning, which is one of the weak points of MASs. This paper proposes a recursive genetic framework for solving problems with high dynamism. In this framework, a combination of genetic algorithm and multi-agent capabilities is utilised to accelerate team learning and accurate credit assignment. The argumentation feature is used to accomplish agent learning and the negotiation features of MASs are used to achieve a credit assignment. The proposed framework is quite general and its recursive hierarchical structure could be extended. We have dedicated one special controlling module for increasing convergence time. Due to the complexity of blackjack, we have applied it as a possible test bed to evaluate the system’s performance. The learning rate of agents is measured as well as their credit assignment. The analysis of the obtained results led us to believe that our robust framework with the proposed negotiation operator is a promising methodology to solve similar problems in other areas with high dynamism. Journal: International Journal of Systems Science Pages: 2715-2731 Issue: 15 Volume: 46 Year: 2015 Month: 11 X-DOI: 10.1080/00207721.2013.879225 File-URL: http://hdl.handle.net/10.1080/00207721.2013.879225 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:15:p:2715-2731 Template-Type: ReDIF-Article 1.0 Author-Name: Lu Yu Author-X-Name-First: Lu Author-X-Name-Last: Yu Author-Name: Jinzhi Wang Author-X-Name-First: Jinzhi Author-X-Name-Last: Wang Title: Distributed output regulation for linear multi-agent systems with communication delays Abstract: In this paper, a distributed output regulation approach is presented for the cooperative control of linear multi-agent systems in the presence of communication delays. Both dynamic state and output feedback control laws are designed for achieving the property of output regulation. Sufficient conditions for the existence of these control laws are provided in terms of linear matrix inequalities. Simulation results are given to support the efficiency of the proposed distributed output regulation approach. Journal: International Journal of Systems Science Pages: 2732-2748 Issue: 15 Volume: 46 Year: 2015 Month: 11 X-DOI: 10.1080/00207721.2013.879227 File-URL: http://hdl.handle.net/10.1080/00207721.2013.879227 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:15:p:2732-2748 Template-Type: ReDIF-Article 1.0 Author-Name: Kuo-Lung Hou Author-X-Name-First: Kuo-Lung Author-X-Name-Last: Hou Author-Name: Li-Chiao Lin Author-X-Name-First: Li-Chiao Author-X-Name-Last: Lin Author-Name: Tien-Yu Lin Author-X-Name-First: Tien-Yu Author-X-Name-Last: Lin Title: Optimal lot sizing with maintenance actions and imperfect production processes Abstract: Porteus (1986) explored an economic order quantity model with imperfect production processes that the approximate lot size is derived. Basically, he dealt with the lot size problem is rather meaningful. However, for mathematical simplicity, he adopted a truncated Taylor series expansion to present the approximate expected total cost function that results in overvalue of expected total cost. In this paper, we extend Porteus (1986) to present the optimal lot size model for defective items with a constant probability when the system is out-of-control and taking the maintenance cost into account. We show that there exists a unique optimal lot size such that the expected total cost is minimised. In addition, the bounds of optimal lot size are provided to develop the solution procedure. Finally, numerical examples are given to illustrate the theoretical results and compare optimal solutions obtained by using our approach and Porteus's approach. Numerical results show that our approach is better. Journal: International Journal of Systems Science Pages: 2749-2755 Issue: 15 Volume: 46 Year: 2015 Month: 11 X-DOI: 10.1080/00207721.2013.879229 File-URL: http://hdl.handle.net/10.1080/00207721.2013.879229 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:15:p:2749-2755 Template-Type: ReDIF-Article 1.0 Author-Name: Tao Zhao Author-X-Name-First: Tao Author-X-Name-Last: Zhao Author-Name: Jian Xiao Author-X-Name-First: Jian Author-X-Name-Last: Xiao Title: State feedback control of interval type-2 fuzzy systems via interval type-2 regional switching fuzzy controllers Abstract: The interval type-2 Takagi–Sugeno fuzzy systems have been proposed to handle nonlinear systems subject to parameter uncertainties. In this paper, a new type of state feedback controller, namely, interval type-2 regional switching fuzzy controller, is proposed to conceive less-conservative stabilisation conditions, which is switched by basing on the values of system states. To further reduce the conservativeness in the stability analysis, the information of lower and upper membership functions is also considered. Stability conditions for the interval type-2 fuzzy closed-loop systems are presented in the form of linear matrix inequalities (LMIs). Simulation examples are provided to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2756-2769 Issue: 15 Volume: 46 Year: 2015 Month: 11 X-DOI: 10.1080/00207721.2013.879230 File-URL: http://hdl.handle.net/10.1080/00207721.2013.879230 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:15:p:2756-2769 Template-Type: ReDIF-Article 1.0 Author-Name: Sergey Edward Lyshevski Author-X-Name-First: Sergey Edward Author-X-Name-Last: Lyshevski Title: Control of dynamic microsystems Abstract: This paper formulates and solves control problems for nonlinear microsystems which comprise micro-electromechanical devices, micromachined transducers and microelectronics. We perform a consistent dynamic analysis and coherent designs with a minimum level of simplifications using high-fidelity mathematical models. The proposed methodology enables practical implementation for multi-input/multi-output systems due to overall conceptual consistency, design coherence, computational efficiency, algorithmic effectiveness and hardware simplicity. Various issues in nonlinear analysis and control are examined and experimentally verified substantiating design concepts for high-performance microsystems. The reported findings are demonstrated for a proof-of-concept closed-loop electrostatic microactuator. Journal: International Journal of Systems Science Pages: 2770-2780 Issue: 15 Volume: 46 Year: 2015 Month: 11 X-DOI: 10.1080/00207721.2013.879231 File-URL: http://hdl.handle.net/10.1080/00207721.2013.879231 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:15:p:2770-2780 Template-Type: ReDIF-Article 1.0 Author-Name: Chuen Kit Luk Author-X-Name-First: Chuen Kit Author-X-Name-Last: Luk Author-Name: Graziano Chesi Author-X-Name-First: Graziano Author-X-Name-Last: Chesi Title: On the estimation of the domain of attraction for discrete-time switched and hybrid nonlinear systems Abstract: This paper addresses the estimation of the domain of attraction for discrete-time nonlinear systems where the vector field is subject to changes. First, the paper considers the case of switched systems, where the vector field is allowed to arbitrarily switch among the elements of a finite family. Second, the paper considers the case of hybrid systems, where the state space is partitioned into several regions described by polynomial inequalities, and the vector field is defined on each region independently from the other ones. In both cases, the problem consists of computing the largest sublevel set of a Lyapunov function included in the domain of attraction. An approach is proposed for solving this problem based on convex programming, which provides a guaranteed inner estimate of the sought sublevel set. The conservatism of the provided estimate can be decreased by increasing the size of the optimisation problem. Some numerical examples illustrate the proposed approach. Journal: International Journal of Systems Science Pages: 2781-2787 Issue: 15 Volume: 46 Year: 2015 Month: 11 X-DOI: 10.1080/00207721.2013.879232 File-URL: http://hdl.handle.net/10.1080/00207721.2013.879232 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:15:p:2781-2787 Template-Type: ReDIF-Article 1.0 Author-Name: Sabir Djaidja Author-X-Name-First: Sabir Author-X-Name-Last: Djaidja Author-Name: Qinghe Wu Author-X-Name-First: Qinghe Author-X-Name-Last: Wu Title: Leader-following consensus for single-integrator multi-agent systems with multiplicative noises in directed topologies Abstract: This paper proposes a leader-following consensus control for continuous-time single-integrator multi-agent systems with multiplicative measurement noises under directed fixed and switching topologies. The consensus controller is developed by combining the graph theory and stochastic tools. The control input for each agent relies on its own state and its neighbours’ states corrupted by noises, the noises are considered proportional to the relative distance between agents, both of the noisy case and the noise-free case are studied, and conditions to achieve mean square convergence under noisy measurement and asymptotic convergence in absence of noises are derived. Finally, in order to prove the validity of the consensus control, some simulations were carried out. Journal: International Journal of Systems Science Pages: 2788-2798 Issue: 15 Volume: 46 Year: 2015 Month: 11 X-DOI: 10.1080/00207721.2013.879233 File-URL: http://hdl.handle.net/10.1080/00207721.2013.879233 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:15:p:2788-2798 Template-Type: ReDIF-Article 1.0 Author-Name: Kebing Chen Author-X-Name-First: Kebing Author-X-Name-Last: Chen Author-Name: Tiaojun Xiao Author-X-Name-First: Tiaojun Author-X-Name-Last: Xiao Title: Production planning and backup sourcing strategy of a buyer-dominant supply chain with random yield and demand Abstract: This paper studies the backup sourcing strategy of the buyer and the production planning of the supplier in presence of both random yield and random demand. Since the production is susceptible to the randomness of yield beyond the control of the supplier, the buyer may access to a backup sourcing option for the finished items. We analyse the value of backup sourcing for both the decentralised and centralised channels. Backup sourcing strategy of the buyer may lower the supply chain's performance. We show that the order quantity of the buyer does not change the stocking factor of the supplier's input. Meanwhile, compared with the centralised operation, the decentralised operation is more dependent on the backup sourcing to reduce supply shortage of the contracting supplier. From the channel's perspective, an incentive scheme is developed to facilitate the coordination of both the buyer and the contracting supplier, we show that the proposed option contract can allow the supply chain members to share the respective risks involved in the production and selling processes. Finally, we also provide qualitative insights based on numerical examples of the centralised and decentralised solutions. Journal: International Journal of Systems Science Pages: 2799-2817 Issue: 15 Volume: 46 Year: 2015 Month: 11 X-DOI: 10.1080/00207721.2013.879234 File-URL: http://hdl.handle.net/10.1080/00207721.2013.879234 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:15:p:2799-2817 Template-Type: ReDIF-Article 1.0 Author-Name: Siva Kumar Tadepalli Author-X-Name-First: Siva Kumar Author-X-Name-Last: Tadepalli Author-Name: V. Krishna Rao Kandanvli Author-X-Name-First: V. Krishna Rao Author-X-Name-Last: Kandanvli Author-Name: Haranath Kar Author-X-Name-First: Haranath Author-X-Name-Last: Kar Title: Comment on ‘Stability analysis and controller synthesis for discrete linear time-delay systems with state saturation nonlinearities’ Abstract: A recently reported paper (Ji, X., Liu, T., Sun, Y., and Su, H. (2011), ‘Stability analysis and controller synthesis for discrete linear time-delay systems with state saturation nonlinearities’, International Journal of Systems Science, 42, 397–406) for the global asymptotic stability analysis and controller synthesis for a class of discrete linear time delay systems employing state saturation nonlinearities is reviewed. It is claimed in Ji, Liu, Sun and Su (2011) that a previous approach by Kandanvli and Kar (Kandanvli, V.K.R and Kar, H. (2009), ‘Robust stability of discrete-time state-delayed systems with saturation nonlinearities: Linear matrix inequality approach’, Signal Processing, 89, 161–173) is recovered from their approach as a special case. It is shown that this claim is not justified. Journal: International Journal of Systems Science Pages: 2818-2819 Issue: 15 Volume: 46 Year: 2015 Month: 11 X-DOI: 10.1080/00207721.2013.879235 File-URL: http://hdl.handle.net/10.1080/00207721.2013.879235 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:15:p:2818-2819 Template-Type: ReDIF-Article 1.0 Author-Name: R.S. Sánchez-Peña Author-X-Name-First: R.S. Author-X-Name-Last: Sánchez-Peña Author-Name: P. Colmegna Author-X-Name-First: P. Author-X-Name-Last: Colmegna Author-Name: F. Bianchi Author-X-Name-First: F. Author-X-Name-Last: Bianchi Title: Unfalsified control based on the controller parameterisation Abstract: This paper presents an implementation of the unfalsified control (UC) method using the Riccati-based parameterisation of H∞${\mathcal {H}}_\infty$ controllers. The method provides an infinite controller set to (un)falsify the real-time data streams seeking for the best performance. Different sets may be designed to increase the degrees of freedom of the set of controller candidates to perform UC. In general, a set of m central controllers could be designed, each one seeking different objectives and all with their own parameterisation as a function of a stable and bounded transfer matrix. For example, one controller parameterisation could be designed to solve the robust stability of a model set which covers the physical system, therefore guaranteeing feasibility. The implementation requires the online optimisation of either quadratic fractional or quadratic problems, depending on the selection of the cost function. A multi-input, multi-output (MIMO) time-varying model of a permanent magnet synchronous generator illustrates the use of this technique. Journal: International Journal of Systems Science Pages: 2820-2831 Issue: 15 Volume: 46 Year: 2015 Month: 11 X-DOI: 10.1080/00207721.2013.879251 File-URL: http://hdl.handle.net/10.1080/00207721.2013.879251 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:15:p:2820-2831 Template-Type: ReDIF-Article 1.0 Author-Name: Wu-Hua Chen Author-X-Name-First: Wu-Hua Author-X-Name-Last: Chen Author-Name: Zipeng Wang Author-X-Name-First: Zipeng Author-X-Name-Last: Wang Author-Name: Dan Wei Author-X-Name-First: Dan Author-X-Name-Last: Wei Author-Name: Xiaomei Lu Author-X-Name-First: Xiaomei Author-X-Name-Last: Lu Title: Robust sampled-data control of uncertain singularly perturbed systems using time-dependent Lyapunov functionals Abstract: In this paper, the problem of robust sampled-data H∞ control of linear uncertain singularly perturbed systems is investigated. The parametric uncertainties are assumed to be time-varying and norm-bounded. Two types of controller design are considered: (1) with a fast sampling in the fast state and a slow one in the slow state, and (2) with a fast sampling in both states. For each type, a time-dependent Lyapunov functional associated with the sampling pattern is introduced to analyse the exponential stability and L2-gain performance of the closed-loop system. Linear matrix inequalities based solutions of the robust sampled-data H∞ control problem are derived. The new results are proved theoretically to be less conservative than the existing results. An illustrative example is given which substantiates the usefulness of the proposed method. Journal: International Journal of Systems Science Pages: 2832-2852 Issue: 15 Volume: 46 Year: 2015 Month: 11 X-DOI: 10.1080/00207721.2014.880193 File-URL: http://hdl.handle.net/10.1080/00207721.2014.880193 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:15:p:2832-2852 Template-Type: ReDIF-Article 1.0 Author-Name: Zhengqiang Zhang Author-X-Name-First: Zhengqiang Author-X-Name-Last: Zhang Author-Name: Hao Shen Author-X-Name-First: Hao Author-X-Name-Last: Shen Author-Name: Ze Li Author-X-Name-First: Ze Author-X-Name-Last: Li Author-Name: Shuzhen Zhang Author-X-Name-First: Shuzhen Author-X-Name-Last: Zhang Title: Zero-error tracking control of uncertain nonlinear systems in the presence of actuator hysteresis Abstract: In this paper, the problem of adaptive tracking control is addressed for a class of nonlinear systems with unknown constant parameters and unknown actuator nonlinearity. The actuator nonlinearity is modelled as the backlash-like hysteresis, which is described by a differential model. The prior knowledge on the control gain sign is not required, and only the assumption on the reference signal is made. By combining the adaptive backstepping technique with the Nussbaum gain approach, an adaptive compensation controller design approach is developed. It is proved that the proposed control approach can guarantee that all the signals in the closed-loop system are bounded, and the tracking error can converge to zero asymptotically despite the presence of the actuator hysteresis. Two simulation examples are included to illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 2853-2864 Issue: 15 Volume: 46 Year: 2015 Month: 11 X-DOI: 10.1080/00207721.2014.886744 File-URL: http://hdl.handle.net/10.1080/00207721.2014.886744 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:15:p:2853-2864 Template-Type: ReDIF-Article 1.0 Author-Name: Weiwei Sun Author-X-Name-First: Weiwei Author-X-Name-Last: Sun Author-Name: Xinyu Lv Author-X-Name-First: Xinyu Author-X-Name-Last: Lv Author-Name: Kaili Wang Author-X-Name-First: Kaili Author-X-Name-Last: Wang Author-Name: Liping Wang Author-X-Name-First: Liping Author-X-Name-Last: Wang Title: Observer-based output feedback stabilisation and ℒ2-disturbance attenuation of uncertain Hamiltonian systems with input and output delays Abstract: This paper is concerned with the problems of stabilisation and $\mathcal {L}_2 $L2-disturbance attenuation for a class of uncertain Hamiltonian systems in the presence of input and output time delays and external disturbances. The dissipativity structural property of the uncertain delayed Hamiltonian systems is fully exploited, and sufficient conditions are obtained by the use of Lyapunov–Krasovskii functional theorem and Luenberger-type observer to guarantee the asymptotical stability of the closed-loop systems for any given arbitrarily large yet bounded delays. An observer-based controller with an assistant reference input is designed corresponding to the external disturbances and time delay patterns. It is shown that the closed-loop systems under the feedback control law can guarantee the γ-dissipative inequalities be satisfied. The results are illustrated by the example of observer-based control of a power system. Journal: International Journal of Systems Science Pages: 2565-2578 Issue: 14 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2019.1671532 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1671532 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:14:p:2565-2578 Template-Type: ReDIF-Article 1.0 Author-Name: Jing Chen Author-X-Name-First: Jing Author-X-Name-Last: Chen Author-Name: Feng Ding Author-X-Name-First: Feng Author-X-Name-Last: Ding Author-Name: Quanmin Zhu Author-X-Name-First: Quanmin Author-X-Name-Last: Zhu Author-Name: Yanjun Liu Author-X-Name-First: Yanjun Author-X-Name-Last: Liu Title: Maximum likelihood based identification methods for rational models Abstract: In a rational model, some terms of the information vector are correlated with the noise, which makes the traditional least squares based iterative algorithms biased. In order to overcome this shortcoming, this paper develops two recursive algorithms for estimating the rational model parameters. These two algorithms, based on the maximum likelihood principle, have three integrated key features: (1) to establish two unbiased maximum likelihood recursive algorithms, (2) to develop a maximum likelihood recursive least squares (ML-RLS) algorithm to decrease the computational efforts, (3) to update the parameter estimates by the ML-RLS based particle swarm optimisation (ML-RLS-PSO) algorithm when the noise-to-output ratio is large. Comparative studies demonstrate that (1) the ML-RLS algorithm is only valid for rational models when the noise-to-output ratio is small, (2) the ML-RLS-PSO algorithm is effective for rational models with random noise-to-output ratio, but at the cost of heavy computational efforts. Furthermore, the simulations provide cases for potential expansion and applications of the proposed algorithms. Journal: International Journal of Systems Science Pages: 2579-2591 Issue: 14 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2019.1671999 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1671999 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:14:p:2579-2591 Template-Type: ReDIF-Article 1.0 Author-Name: Jiang Wu Author-X-Name-First: Jiang Author-X-Name-Last: Wu Author-Name: Fucheng Liao Author-X-Name-First: Fucheng Author-X-Name-Last: Liao Author-Name: Zhengguang Xu Author-X-Name-First: Zhengguang Author-X-Name-Last: Xu Title: Preview control for a class of linear stochastic systems with multiplicative noise Abstract: In this paper, the preview control problem for a class of linear continuous time stochastic systems with multiplicative noise is studied based on the augmented error system method. First, a deterministic assistant system is introduced, and the original system is translated to the assistant system. Then, the integrator is employed to ensure the output of the closed-loop system tracking the reference signal accurately. Second, the augmented error system, which includes integrator vector, control vector and reference signal, is constructed based on the system after translation. As a result, the tracking problem is transformed into the optimal control problem of the augmented error system, and the optimal control input is obtained by the dynamic programming method. This control input is regarded as the preview controller of the original system. For a linear stochastic system with multiplicative noise, the difficulty being unable to construct an augmented error system by the derivation method is solved in this paper. And, the existence and uniqueness solution of the Riccati equation corresponding to the stochastic augmented error system is discussed. The numerical simulations show that the preview controller designed in this paper is very effective. Journal: International Journal of Systems Science Pages: 2592-2603 Issue: 14 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2019.1672000 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1672000 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:14:p:2592-2603 Template-Type: ReDIF-Article 1.0 Author-Name: Zheng Zhang Author-X-Name-First: Zheng Author-X-Name-Last: Zhang Author-Name: Shiming Chen Author-X-Name-First: Shiming Author-X-Name-Last: Chen Author-Name: Yuanshi Zheng Author-X-Name-First: Yuanshi Author-X-Name-Last: Zheng Title: Leader-following scaled consensus of second-order multi-agent systems under directed topologies Abstract: This paper investigates the leader-following scaled consensus problem of second-order multi-agent systems under directed topologies. Three novel leader-following scaled consensus protocols are designed. First, a novel scaled consensus protocol is proposed. It can guarantee the velocity of each agent in one sub-group exactly follow that of a leader, and the follower agents achieve scaled consensus. Second, another proposed protocol enables the agents' positions and velocities of one sub-group accurately track those of a leader, and the follower agents achieve scaled consensus. Third, consider the case where the leader's states available to one or multiple followers and the leader travels with a varying velocity, a novel scaled consensus tracking protocol is proposed. Sufficient and necessary conditions are obtained to guarantee scaled consensus tracking for the three cases,respectively. Finally, simulation examples are made to verify the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 2604-2615 Issue: 14 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2019.1672115 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1672115 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:14:p:2604-2615 Template-Type: ReDIF-Article 1.0 Author-Name: Chunyan Zhang Author-X-Name-First: Chunyan Author-X-Name-Last: Zhang Author-Name: Yinya Li Author-X-Name-First: Yinya Author-X-Name-Last: Li Author-Name: Guoqing Qi Author-X-Name-First: Guoqing Author-X-Name-Last: Qi Author-Name: Andong Sheng Author-X-Name-First: Andong Author-X-Name-Last: Sheng Title: Coordinated circumnavigation by multiple agents under directed topology Abstract: This paper focuses on the coordinated circumnavigation problem for multiple agents with directed communication topology. All agents are required to be evenly spaced around a moving target, and orbit around it with prescribed radii and circular velocity. We divide the coordinated circumnavigation system into a cascaded system consisting of a standoff tracking subsystem and a spacing distribution subsystem. A tracking controller and an additional controller for the two subsystems are developed, respectively. The global uniform stability of the coordinated circumnavigation system is analysed using the cascaded control theory. The presented controllers render each individual agent circumnavigating the target with the desired requirements. More importantly, we show that the derived tracking controller is a general extension of existing controllers for single agent circumnavigation problem. Another feature of the proposed controllers is that the directed topology considered only needs to have a directed spanning tree. Furthermore, the proposed controllers take the velocity constraints into consideration, that is more rational for practical applications. Numerical simulations are provided to verify the effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 2616-2631 Issue: 14 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2019.1672116 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1672116 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:14:p:2616-2631 Template-Type: ReDIF-Article 1.0 Author-Name: Jason Sheng-Hong Tsai Author-X-Name-First: Jason Sheng-Hong Author-X-Name-Last: Tsai Author-Name: Tzu-Hsien Yu Author-X-Name-First: Tzu-Hsien Author-X-Name-Last: Yu Author-Name: Te Jen Su Author-X-Name-First: Te Jen Author-X-Name-Last: Su Author-Name: Shu-Mei Guo Author-X-Name-First: Shu-Mei Author-X-Name-Last: Guo Author-Name: Leang-San Shieh Author-X-Name-First: Leang-San Author-X-Name-Last: Shieh Author-Name: Jose I. Canelon Author-X-Name-First: Jose I. Author-X-Name-Last: Canelon Title: A novel on-line OCID method and its application to input-constrained active fault-tolerant tracker design for unknown nonlinear systems Abstract: The existing off-line observer/controller identification (OCID) method for linear systems is newly extended in this paper for off-line/on-line identification of known/unknown highly nonlinear systems, and a new input-constrained active fault-tolerant tracker is developed, based on the identified linear models. The advantages of the proposed extended on-line OCID method for linear/nonlinear systems are briefly described as follows: (i) Implement novel servo-control-oriented off-line OCID methods in observer and controller canonical forms for highly nonlinear systems; (ii) Is able to overcome the discontinuity induced by the singular value decomposition (SVD) that should be carried out at each sampling instant; (iii) It directly realises the identified parameters in the observer/controller canonical forms; this simplifies the identification process; (iv) Can be practically implemented for the on-line control of an unknown nonlinear system which was constituted by an unknown open-loop plant, an existing but unknown controller and/or an unknown observer; and (v) Can be utilised to develop a new active fault-tolerant controller to compensate the immovable existing controller of the practical operating system. Finally, the servo-control-oriented off-line OCID method for the highly nonlinear PUMA 560 manipulator is shown in the illustrative examples to demonstrate the superiority of the proposed method. Journal: International Journal of Systems Science Pages: 2632-2662 Issue: 14 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2019.1672117 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1672117 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:14:p:2632-2662 Template-Type: ReDIF-Article 1.0 Author-Name: Wenbin Chen Author-X-Name-First: Wenbin Author-X-Name-Last: Chen Author-Name: Fang Gao Author-X-Name-First: Fang Author-X-Name-Last: Gao Title: Stability analysis of systems via a new double free-matrix-based integral inequality with interval time-varying delay Abstract: This paper investigates the problem of delay-dependent stability analysis for systems with interval time-varying delay. By means of a new double free-matrix-based integral inequality and augmented Lyapunov–Krasovskii functionals containing as much information of time-varying delay as possible, a new stability criterion for systems is established. Firstly, by a double integral term two-step estimation approach and combined with single free-matrix-based integral inequalities, a stability criteria is presented. Then, compared with the double integral term two-step estimation approach, the proposed new double free-matrix-based integral inequality with more related time delays has potential to lead to a criterion with less conservatism. Finally, the validity of the presented method is demonstrated by two numerical examples. Journal: International Journal of Systems Science Pages: 2663-2672 Issue: 14 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2019.1672118 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1672118 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:14:p:2663-2672 Template-Type: ReDIF-Article 1.0 Author-Name: Di Cui Author-X-Name-First: Di Author-X-Name-Last: Cui Author-Name: Ben Niu Author-X-Name-First: Ben Author-X-Name-Last: Niu Author-Name: Huanqing Wang Author-X-Name-First: Huanqing Author-X-Name-Last: Wang Author-Name: Dong Yang Author-X-Name-First: Dong Author-X-Name-Last: Yang Title: Adaptive fuzzy output-feedback fault-tolerant tracking control of a class of uncertain nonlinear switched systems Abstract: This paper considers the output-feedback fault-tolerant tracking control problem for a class of uncertain nonlinear switched systems with nonlinear faults and strict-feedback form, where the faults which are nonaffine occur on the actuator. As a kind of specialised function approximating tool, fuzzy logic systems (FLSs), are employed to approximate the unknown smooth nonlinear functions. A switched fuzzy observer is designed to address the problem of unmeasurable states, filtered signals are used to address algebraic loop problem and the average dwell time (ADT) method is further utilised to prove the stability of the resulting closed-loop systems under a type of slowly switching signals. Based on the backstepping recursive design technique and Lyapunov function method, an adaptive fuzzy output-feedback control scheme is developed. The developed control method can ensure all the signals are semi-globally uniformly ultimately bounded (SGUUB) and the system output tracks the reference signal tightly even if unknown fault occurs. A simulation carried on an example demonstrates the validity of the obtained control scheme. Journal: International Journal of Systems Science Pages: 2673-2686 Issue: 14 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2019.1672119 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1672119 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:14:p:2673-2686 Template-Type: ReDIF-Article 1.0 Author-Name: Salman Ijaz Author-X-Name-First: Salman Author-X-Name-Last: Ijaz Author-Name: Fuyang Chen Author-X-Name-First: Fuyang Author-X-Name-Last: Chen Author-Name: Mirza Tariq Hamayun Author-X-Name-First: Mirza Tariq Author-X-Name-Last: Hamayun Author-Name: Lin Yan Author-X-Name-First: Lin Author-X-Name-Last: Yan Author-Name: Cun Shi Author-X-Name-First: Cun Author-X-Name-Last: Shi Title: An adaptive integral sliding mode FTC scheme for dissimilar redundant actuation system of civil aircraft Abstract: This paper proposed a new adaptive integral sliding mode FTC scheme to deal with the actuator faults and failure. The scheme combines integral sliding mode control, control allocation scheme and adaptive strategy. The unknown actuator faults are handled by adaptive modulation gain of nonlinear ISMC law. To cope with complete failure, control allocation scheme is integrated with the baseline controller to provide tolerance. The proposed strategy relies on the estimate of actuator effectiveness. Therefore, an adaptive sliding mode observer based fault reconstruction scheme is proposed in this paper. The proposed scheme is implemented on dissimilar redundant actuation system driven by hydraulic and electro-hydraulic actuators. In nominal and faulty conditions, both actuators are contributing to achieving the desired control surface deflection. However, when the actuator failure occurs, the control signals are reallocated to the redundant actuator. The problem of dynamics mismatch is addressed using fractional order controller designed in an inner loop. The comparison with the existing literature is also conducted in the simulation to validate the dominant performance. Journal: International Journal of Systems Science Pages: 2687-2702 Issue: 14 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2019.1673501 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1673501 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:14:p:2687-2702 Template-Type: ReDIF-Article 1.0 Author-Name: A. Rodríguez del Nozal Author-X-Name-First: A. Author-X-Name-Last: Rodríguez del Nozal Author-Name: L. Orihuela Author-X-Name-First: L. Author-X-Name-Last: Orihuela Author-Name: P. Millán Author-X-Name-First: P. Author-X-Name-Last: Millán Title: Distributed estimation design for LTI systems: a linear quadratic approach Abstract: This paper deals with the problem of distributedly estimate the state of a plant through a network of interconnected agents. Each of these agents must perform a real-time monitoring of the plant state, counting on the measurements of local plant outputs and on the exchange of information with neighbouring agents. The paper introduces a distributed LQ-based design that is applied to a distributed observer structure based on a multi-hop subspace decomposition. Stability and optimality conditions are derived and tested in simulation. Finally, the design method presented allows the user, through the tune of two scalar parameters, to modify the observer gains according to their experience about the plant. Journal: International Journal of Systems Science Pages: 2703-2714 Issue: 14 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2019.1674407 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1674407 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:14:p:2703-2714 Template-Type: ReDIF-Article 1.0 Author-Name: M. Kabiri Author-X-Name-First: M. Author-X-Name-Last: Kabiri Author-Name: H. Atrianfar Author-X-Name-First: H. Author-X-Name-Last: Atrianfar Author-Name: M. B. Menhaj Author-X-Name-First: M. B. Author-X-Name-Last: Menhaj Title: Robust formation control of thrust-propelled vehicles under deterministic and stochastic topology Abstract: Formation control of multiple thrust-propelled vehicles (TPVs) under deterministic and stochastic switching topologies and communication delay is addressed. Introducing a new version of variable structure control and based upon sliding mode technique, adaptive control and projection operator, we effectively handle the impact of uncertainties on the mass and inertia matrix and a set of time-varying disturbances affecting the translational and rotational dynamics. Global stability of the whole closed-loop system is guaranteed through Lyapunov stability theory. For the deterministic topology, sufficient condition in terms of LMIs is derived to achieve formation in the presence of jointly connected switching topology. In the case of stochastic topology, based on the concept of super-martingales, it is shown that if the probability of existing a connected topology is not zero, under some conditions, formation is almost surely solved in the network. Finally, numerical simulations verify the effectiveness of the proposed control framework. Journal: International Journal of Systems Science Pages: 2715-2731 Issue: 14 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2019.1674408 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1674408 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:14:p:2715-2731 Template-Type: ReDIF-Article 1.0 Author-Name: Huiqin Pei Author-X-Name-First: Huiqin Author-X-Name-Last: Pei Author-Name: Shiming Chen Author-X-Name-First: Shiming Author-X-Name-Last: Chen Author-Name: Qiang Lai Author-X-Name-First: Qiang Author-X-Name-Last: Lai Title: Multi-target consensus circle pursuit for multi-agent systems via a distributed multi-flocking method Abstract: This paper studies the multi-target consensus pursuit problem of multi-agent systems. For solving the problem, a distributed multi-flocking method is designed based on the partial information exchange, which is employed to realise the pursuit of multi-target and the uniform distribution of the number of pursuing agents with the dynamic target. Combining with the proposed circle formation control strategy, agents can adaptively choose the target to form the different circle formation groups accomplishing a multi-target pursuit. The speed state of pursuing agents in each group converges to the same value. A Lyapunov approach is utilised to analyse the stability of multi-agent systems. In addition, a sufficient condition is given for achieving the dynamic target consensus pursuit, and which is then analysed. Finally, simulation results verify the effectiveness of the proposed approaches. Journal: International Journal of Systems Science Pages: 3741-3748 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2015.1117687 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1117687 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3741-3748 Template-Type: ReDIF-Article 1.0 Author-Name: Qingxian Jia Author-X-Name-First: Qingxian Author-X-Name-Last: Jia Author-Name: Wen Chen Author-X-Name-First: Wen Author-X-Name-Last: Chen Author-Name: Yingchun Zhang Author-X-Name-First: Yingchun Author-X-Name-Last: Zhang Author-Name: Huayi Li Author-X-Name-First: Huayi Author-X-Name-Last: Li Title: Integrated design of fault reconstruction and fault-tolerant control against actuator faults using learning observers Abstract: This paper addresses the problem of integrated fault reconstruction and fault-tolerant control in linear systems subject to actuator faults via learning observers (LOs). A reconfigurable fault-tolerant controller is designed based on the constructed LO to compensate for the influence of actuator faults by stabilising the closed-loop system. An integrated design of the proposed LO and the fault-tolerant controller is explored such that their performance can be simultaneously considered and their coupling problem can be effectively solved. In addition, such an integrated design is formulated in terms of linear matrix inequalities (LMIs) that can be conveniently solved in a unified framework using LMI optimisation technique. At last, simulation studies on a micro-satellite attitude control system are provided to verify the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 3749-3761 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2015.1118773 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1118773 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3749-3761 Template-Type: ReDIF-Article 1.0 Author-Name: Jichun Wang Author-X-Name-First: Jichun Author-X-Name-Last: Wang Author-Name: Qingling Zhang Author-X-Name-First: Qingling Author-X-Name-Last: Zhang Author-Name: Dong Xiao Author-X-Name-First: Dong Author-X-Name-Last: Xiao Author-Name: Fang Bai Author-X-Name-First: Fang Author-X-Name-Last: Bai Title: Robust stability analysis and stabilisation of uncertain neutral singular systems Abstract: This paper studies the problem of robust stability and stabilisation of uncertain neutral singular systems and develops a new stability criterion of the differential operator, ℑ by the final value theorem for Laplace transform. By utilising Lyapunov functional and free-weight matrix method, we employ the linear matrix inequality technique and the stability condition to derive some new criteria which ensure the robustly asymptotical stability of the studied system. State feedback controllers with disturbance are designed to guarantee the robustly asymptotical stability of the uncertain system. Numerical examples are provided to validate the effectiveness of the obtained results. Journal: International Journal of Systems Science Pages: 3762-3771 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2015.1120905 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1120905 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3762-3771 Template-Type: ReDIF-Article 1.0 Author-Name: Ahmad Sadhiqin Mohd Isira Author-X-Name-First: Ahmad Sadhiqin Mohd Author-X-Name-Last: Isira Author-Name: Zongyu Zuo Author-X-Name-First: Zongyu Author-X-Name-Last: Zuo Author-Name: Zhengtao Ding Author-X-Name-First: Zhengtao Author-X-Name-Last: Ding Title: Leader-follower consensus control of Lipschitz nonlinear systems by output feedback Abstract: This paper deals with the leader-follower consensus problem of Lipschitz nonlinear systems under fixed directed communication networks. Both state and output feedback control are proposed based on state and output measurements of neighbouring agents, respectively. Laplacian matrix features are explored for the stability analysis, and the sufficient conditions are derived to solve the consensus problem. Finally, simulation results are included to demonstrate the effectiveness of the output-based consensus controller. Journal: International Journal of Systems Science Pages: 3772-3781 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2015.1122847 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1122847 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3772-3781 Template-Type: ReDIF-Article 1.0 Author-Name: Changchun Hua Author-X-Name-First: Changchun Author-X-Name-Last: Hua Author-Name: Guopin Liu Author-X-Name-First: Guopin Author-X-Name-Last: Liu Author-Name: Zhenhua Bai Author-X-Name-First: Zhenhua Author-X-Name-Last: Bai Author-Name: Xinping Guan Author-X-Name-First: Xinping Author-X-Name-Last: Guan Title: Decentralised adaptive control for a class of stochastic switched interconnected nonlinear systems Abstract: In this paper, we focus on the problem of adaptive stabilisation for a class of interconnected uncertain switched stochastic nonlinear systems. Classical adaptive and backstepping technique are employed for control synthesis. Instead of estimating the switching parameters directly, we design the adaptive controller based on the estimations of bounds on switching time-varying parameters. A smooth function is introduced to deal with the difficulties caused by unknown interactions and tuning function approach is used to circumvent the overparameter problem. It is shown that under the action of the proposed controller all the signals of the overall closed-loop systems are globally uniformly bounded in probability under arbitrary switching. Simulation results are presented to illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 3782-3791 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2015.1122848 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1122848 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3782-3791 Template-Type: ReDIF-Article 1.0 Author-Name: H. Hamri Author-X-Name-First: H. Author-X-Name-Last: Hamri Author-Name: R. Kara Author-X-Name-First: R. Author-X-Name-Last: Kara Author-Name: S. Amari Author-X-Name-First: S. Author-X-Name-Last: Amari Title: Model predictive control of P-time event graphs Abstract: This paper deals with model predictive control of discrete event systems modelled by P-time event graphs. First, the model is obtained by using the dater evolution model written in the standard algebra. Then, for the control law, we used the finite-horizon model predictive control. For the closed-loop control, we used the infinite-horizon model predictive control (IH-MPC). The latter is an approach that calculates static feedback gains which allows the stability of the closed-loop system while respecting the constraints on the control vector. The problem of IH-MPC is formulated as a linear convex programming subject to a linear matrix inequality problem. Finally, the proposed methodology is applied to a transportation system. Journal: International Journal of Systems Science Pages: 3792-3802 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2015.1124150 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1124150 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3792-3802 Template-Type: ReDIF-Article 1.0 Author-Name: Georgios P. Kladis Author-X-Name-First: Georgios P. Author-X-Name-Last: Kladis Author-Name: Prathyush P. Menon Author-X-Name-First: Prathyush P. Author-X-Name-Last: Menon Author-Name: Christopher Edwards Author-X-Name-First: Christopher Author-X-Name-Last: Edwards Title: Fuzzy distributed cooperative tracking for a swarm of unmanned aerial vehicles with heterogeneous goals Abstract: This article proposes a systematic analysis for a tracking problem which ensures cooperation amongst a swarm of unmanned aerial vehicles (UAVs), modelled as nonlinear systems with linear and angular velocity constraints, in order to achieve different goals. A distributed Takagi–Sugeno (TS) framework design is adopted for the representation of the nonlinear model of the dynamics of the UAVs. The distributed control law which is introduced is composed of both node and network level information. Firstly, feedback gains are synthesised using a parallel distributed compensation (PDC) control law structure, for a collection of isolated UAVs; ignoring communications among the swarm. Then secondly, based on an alternation-like procedure, the resulting feedback gains are used to determine Lyapunov matrices which are utilised at network level to incorporate into the control law, the relative differences in the states of the vehicles, and to induce cooperative behaviour. Eventually stability is guaranteed for the entire swarm. The control synthesis is performed using tools from linear control theory: in particular the design criteria are posed as linear matrix inequalities (LMIs). An example based on a UAV tracking scenario is included to outline the efficacy of the approach. Journal: International Journal of Systems Science Pages: 3803-3811 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2015.1126380 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1126380 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3803-3811 Template-Type: ReDIF-Article 1.0 Author-Name: Bo Ding Author-X-Name-First: Bo Author-X-Name-Last: Ding Author-Name: Huajing Fang Author-X-Name-First: Huajing Author-X-Name-Last: Fang Title: Multi-faults detection and estimation for nonlinear stochastic system based on particle filter and hypothesis test Abstract: This paper is concerned with the fault detection and estimation for nonlinear stochastic system with additive multi-faults. The states of system are estimated by the improved particle filter which composed of basic particle filter and preliminary fault estimation. Since the preliminary fault estimation contains noise, the faults are detected by the method of hypothesis testing, while the amplitude of each fault is estimated by the average of the sample of preliminary fault estimation. Meanwhile, the relationship of the sample size, the significance level of two types of error, the amplitude of fault and the variance of the error of preliminary fault estimation are also given. The effectiveness of the proposed method is verified by the simulation of three-vessel water tank system. Journal: International Journal of Systems Science Pages: 3812-3821 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2015.1126381 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1126381 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3812-3821 Template-Type: ReDIF-Article 1.0 Author-Name: Editors Title: Addendum Abstract: Journal: International Journal of Systems Science Pages: 3978-3978 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2015.1127662 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1127662 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3978-3978 Template-Type: ReDIF-Article 1.0 Author-Name: Fan Wu Author-X-Name-First: Fan Author-X-Name-Last: Wu Author-Name: Yong Zhao Author-X-Name-First: Yong Author-X-Name-Last: Zhao Author-Name: Yang Chen Author-X-Name-First: Yang Author-X-Name-Last: Chen Title: Stability analysis of group decision-making under weighted scoring rules Abstract: The result of group decision-making is always unstable, influenced by some uncertain factors. It is necessary to measure and analyse the stability of the result. A measurement based on the inclined angle of two vectors is proposed in this paper, in order to measure the stabilities of the results of weighted scoring rules. The concepts of stability degree and stability angle are given, whose geometric interpretations are displayed in the case of three candidates. Then an extended measurement called the relative stability degree is discussed to analyse the comparability of stability measurements for different numbers of candidates. Furthermore, this measurement and its extension are used to aid the decision-making of new project development in a software company. Journal: International Journal of Systems Science Pages: 3822-3828 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2015.1128577 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1128577 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3822-3828 Template-Type: ReDIF-Article 1.0 Author-Name: Xiwang Dong Author-X-Name-First: Xiwang Author-X-Name-Last: Dong Author-Name: Liang Han Author-X-Name-First: Liang Author-X-Name-Last: Han Author-Name: Qingdong Li Author-X-Name-First: Qingdong Author-X-Name-Last: Li Author-Name: Zhang Ren Author-X-Name-First: Zhang Author-X-Name-Last: Ren Title: Time-varying formation control for double-integrator multi-agent systems with jointly connected topologies Abstract: Time-varying formation analysis and design problems for double-integrator multi-agent systems with jointly connected topologies are investigated. Different from the previous work on formation control, in this paper, the formation is specified by time-varying piecewise continuously differentiable vectors and the topology can be disconnected at any time instant. First, a distributed formation control protocol is constructed using local neighbour-to-neighbour information. In the case where the switching topology is jointly connected, necessary and sufficient conditions for double-integrator multi-agent systems to achieve time-varying formations are proposed, where the formation feasibility constraint is also derived. To describe the macroscopic movement of the whole formation, explicit expressions of the formation reference are presented, the motion modes of which can be partially assigned. Moreover, an approach to design the formation control protocol is given, which is fully distributed and requires no global information about the topology. Finally, the obtained theoretical results are applied to deal with the time-varying formation control problems of multi-vehicle systems. Journal: International Journal of Systems Science Pages: 3829-3838 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2015.1128578 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1128578 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3829-3838 Template-Type: ReDIF-Article 1.0 Author-Name: Bo Hou Author-X-Name-First: Bo Author-X-Name-Last: Hou Author-Name: Fuchun Sun Author-X-Name-First: Fuchun Author-X-Name-Last: Sun Author-Name: Hongbo Li Author-X-Name-First: Hongbo Author-X-Name-Last: Li Author-Name: Yao Chen Author-X-Name-First: Yao Author-X-Name-Last: Chen Author-Name: Guangbin Liu Author-X-Name-First: Guangbin Author-X-Name-Last: Liu Title: Scaled cluster consensus of discrete-time multi-agent systems with general directed topologies Abstract: This note proposes a notion of scaled cluster consensus, wherein the final consensus states within different clusters converge to prescribed ratios. Unlike most results in existing literature on cluster consensus, no constraints are imposed on the system topologies under the designed protocol, i.e. the agents are not required to possess any cluster affiliation information of others. For the delay-free case, an explicit scaled cluster consensus function is provided by exploring the characteristics of stochastic matrices. Diverse input delays and asymmetric communication delays are both considered, and sufficient condition for scaled cluster consensus is derived based on frequency domain analysis. Finally, numerical examples are given to illustrate the effectiveness of the presented results. Journal: International Journal of Systems Science Pages: 3839-3845 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2015.1129675 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1129675 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3839-3845 Template-Type: ReDIF-Article 1.0 Author-Name: Fangzheng Gao Author-X-Name-First: Fangzheng Author-X-Name-Last: Gao Author-Name: Yuqiang Wu Author-X-Name-First: Yuqiang Author-X-Name-Last: Wu Author-Name: Xin Yu Author-X-Name-First: Xin Author-X-Name-Last: Yu Title: Global state feedback stabilisation of stochastic high-order nonlinear systems with high-order and low-order nonlinearities Abstract: In this paper, the problem of global stabilisation by state feedback is investigated for a class of stochastic high-order nonlinear systems with both high-order and low-order nonlinearities, to which the existing control methods are inapplicable. Based on the generalised stochastic Lyapunov theorem, and by skillfully using the method of adding a power integrator, a continuous state feedback controller is successfully constructed, which can guarantee the global asymptotic stability in probability of the resulting closed-loop system in the sense of weak solution, and also is able to lead to an interesting result of finite-time stabilisation under appropriate conditions. Finally, two simulation examples are provided to demonstrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 3846-3856 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2015.1129678 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1129678 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3846-3856 Template-Type: ReDIF-Article 1.0 Author-Name: Amel Benabdallah Author-X-Name-First: Amel Author-X-Name-Last: Benabdallah Author-Name: Nadhem Echi Author-X-Name-First: Nadhem Author-X-Name-Last: Echi Title: Global exponential stabilisation of a class of nonlinear time-delay systems Abstract: This paper deals with the state and output feedback stabilisation problems for a family of nonlinear time-delay systems satisfying some relaxed triangular-type condition. The delay is supposed to be constant. Parameter-dependent control laws are used to compensate for the nonlinearities. Based on the Lyapunov–Krasovskii functionals, global exponential stability of the closed-loop systems is achieved. Finally, an extension to nonlinear time-varying delay systems is given. Journal: International Journal of Systems Science Pages: 3857-3863 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2015.1135356 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1135356 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3857-3863 Template-Type: ReDIF-Article 1.0 Author-Name: Mingxing Li Author-X-Name-First: Mingxing Author-X-Name-Last: Li Author-Name: Yingmin Jia Author-X-Name-First: Yingmin Author-X-Name-Last: Jia Title: Precompensation decoupling control with performance for 4WS velocity-varying vehicles Abstract: In this paper, a new decoupling control strategy with H∞ performance for the three-degree-of-freedom model, including the longitudinal velocity, the lateral velocity, and the yaw rate is presented and discussed. A sliding mode controller only depending on the longitudinal velocity for the longitudinal system and a precompensation decoupling controller with H∞ performance for the steering system are designed. These controllers are established by feeding back longitudinal velocity and yaw rate, thus observation or measurement for the lateral velocity is not required. Simulation results show that our strategy can improve the handling characteristics, safety, and comfort significantly. Journal: International Journal of Systems Science Pages: 3864-3875 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2015.1135357 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1135357 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3864-3875 Template-Type: ReDIF-Article 1.0 Author-Name: Jiayun Liu Author-X-Name-First: Jiayun Author-X-Name-Last: Liu Author-Name: Weisheng Chen Author-X-Name-First: Weisheng Author-X-Name-Last: Chen Title: Distributed convex optimisation with event-triggered communication in networked systems Abstract: This paper studies the distributed convex optimisation problem over directed networks. Motivated by practical considerations, we propose a novel distributed zero-gradient-sum optimisation algorithm with event-triggered communication. Therefore, communication and control updates just occur at discrete instants when some predefined condition satisfies. Thus, compared with the time-driven distributed optimisation algorithms, the proposed algorithm has the advantages of less energy consumption and less communication cost. Based on Lyapunov approaches, we show that the proposed algorithm makes the system states asymptotically converge to the solution of the problem exponentially fast and the Zeno behaviour is excluded. Finally, simulation example is given to illustrate the effectiveness of the proposed algorithm. Journal: International Journal of Systems Science Pages: 3876-3887 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2015.1135358 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1135358 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3876-3887 Template-Type: ReDIF-Article 1.0 Author-Name: R. Saravanakumar Author-X-Name-First: R. Author-X-Name-Last: Saravanakumar Author-Name: M. Syed Ali Author-X-Name-First: M. Syed Author-X-Name-Last: Ali Author-Name: Jinde Cao Author-X-Name-First: Jinde Author-X-Name-Last: Cao Author-Name: He Huang Author-X-Name-First: He Author-X-Name-Last: Huang Title: state estimation of generalised neural networks with interval time-varying delays Abstract: This paper focuses on studying the H∞ state estimation of generalised neural networks with interval time-varying delays. The integral terms in the time derivative of the Lyapunov–Krasovskii functional are handled by the Jensen’s inequality, reciprocally convex combination approach and a new Wirtinger-based double integral inequality. A delay-dependent criterion is derived under which the estimation error system is globally asymptotically stable with H∞ performance. The proposed conditions are represented by linear matrix inequalities. Optimal H∞ norm bounds are obtained easily by solving convex problems in terms of linear matrix inequalities. The advantage of employing the proposed inequalities is illustrated by numerical examples. Journal: International Journal of Systems Science Pages: 3888-3899 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2015.1135359 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1135359 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3888-3899 Template-Type: ReDIF-Article 1.0 Author-Name: Yutao Tang Author-X-Name-First: Yutao Author-X-Name-Last: Tang Title: Coordination of multi-agent systems under switching topologies via disturbance observer-based approach Abstract: In this paper, a leader-following coordination problem of heterogeneous multi-agent systems is considered under switching topologies where each agent is subject to some local (unbounded) disturbances. While these unknown disturbances may disrupt the performance of agents, a disturbance observer-based approach is employed to estimate and reject them. Varying communication topologies are also taken into consideration, and their byproduct difficulties are overcome by using common Lyapunov function techniques. According to the available information in difference cases, two disturbance observer-based protocols are proposed to solve this problem. Their effectiveness is verified by simulations. Journal: International Journal of Systems Science Pages: 3900-3907 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2015.1135360 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1135360 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3900-3907 Template-Type: ReDIF-Article 1.0 Author-Name: Xifang Sun Author-X-Name-First: Xifang Author-X-Name-Last: Sun Author-Name: Weisheng Chen Author-X-Name-First: Weisheng Author-X-Name-Last: Chen Author-Name: Jian Wu Author-X-Name-First: Jian Author-X-Name-Last: Wu Title: Global adaptive exponential stabilisation for nonlinear systems with multiple unknown control directions Abstract: In this paper, we address the global generalised exponential stabilisation problem for a class of lower-triangular systems with multiple unknown directions. Instead of the well-known Nussbaum-gain adaptive rule, a Lyapunov-based adaptive logic switching rule is proposed to seek the correct control directions for such systems. The main advantage of the proposed controller is that it can guarantee the global generalised exponential stability of closed-loop systems. Simulation examples are given to verify the effectiveness of the developed control approach. Journal: International Journal of Systems Science Pages: 3908-3918 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2016.1139757 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1139757 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3908-3918 Template-Type: ReDIF-Article 1.0 Author-Name: Lei He Author-X-Name-First: Lei Author-X-Name-Last: He Author-Name: Xiuxia Sun Author-X-Name-First: Xiuxia Author-X-Name-Last: Sun Author-Name: Yan Lin Author-X-Name-First: Yan Author-X-Name-Last: Lin Title: Distributed output-feedback formation tracking control for unmanned aerial vehicles Abstract: This paper considers the output-feedback formation problem of tracking a desired trajectory for a group of networked unmanned aerial vehicles (UAVs). By introducing a state observer, the controller for the non-holonomic UAV model can be designed without linear and angular velocities measurements. The formation robustness can be improved by applying the virtual structure and synchronising the path parameters. It is proved that, with the proposed control strategy, all the closed-loop signals are bounded and the formation tracking errors asymptotically converge to zero. Simulation results are given to illustrate the effectiveness of the proposed control strategy. Journal: International Journal of Systems Science Pages: 3919-3928 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2016.1139758 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1139758 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3919-3928 Template-Type: ReDIF-Article 1.0 Author-Name: Y.-Y. Chen Author-X-Name-First: Y.-Y. Author-X-Name-Last: Chen Author-Name: Y. Zhang Author-X-Name-First: Y. Author-X-Name-Last: Zhang Author-Name: C.-L. Liu Author-X-Name-First: C.-L. Author-X-Name-Last: Liu Author-Name: P. Wei Author-X-Name-First: P. Author-X-Name-Last: Wei Title: Coordinated orbit-tracking control of second-order non-linear agents with directed communication topologies Abstract: This paper deals with two-dimensional and three-dimensional cooperative control of multiple agents formation tracking a set of given closed orbits, where each agent has intrinsic second-order non-linear dynamics and the communication topology among agents is directed. By using our previous curve extension method, the cooperative control system can be regarded as a cascade system composed of the orbit-tracking subsystem and the formation subsystem with the orbit-tracking error as input. A novel solution is established by separatively designing the orbit-tracking control law and the formation control protocol ignoring the perturbation at first and then applying input-to-state stability theory to analyse the asymptotic stability of the cascade system. It is shown that the closed-loop system is asymptotic stability if the directed communication topology contains a directed spanning tree. The effectiveness of the analytical results is verified by numerical simulations. Journal: International Journal of Systems Science Pages: 3929-3939 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2016.1139759 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1139759 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3929-3939 Template-Type: ReDIF-Article 1.0 Author-Name: B. Kaviarasan Author-X-Name-First: B. Author-X-Name-Last: Kaviarasan Author-Name: R. Sakthivel Author-X-Name-First: R. Author-X-Name-Last: Sakthivel Author-Name: Y. Shi Author-X-Name-First: Y. Author-X-Name-Last: Shi Title: Reliable dissipative control of high-speed train with probabilistic time-varying delays Abstract: This paper investigates the reliable dissipative control problem for high-speed trains (HSTs) under probabilistic time-varying sampling with a known upper bound on the sampling intervals. In particular, random variables obeying the Bernoulli distribution are considered to account for the probabilistic time-varying delays. Based on Lyapunov–Krasovskii functional approach which considers full use of the available information about actual sampling pattern, a new set of sufficient condition is established to guarantee that the HST can well track the desired speed and the relative spring displacement between the two neighbouring carriages is asymptotically stable and the corresponding error system is strictly (Q,S,R)$(\mathcal {Q},\mathcal {S},\mathcal {R})$-dissipative. The existence condition of the dissipativity-based reliable sampled-data controller is obtained in terms of a set of linear matrix inequalities which are delay-distribution-dependent, i.e. the solvability of the condition depends on not only the variation range of the delay but also the probability distribution of it. Moreover, different control processes for the HST system can be obtained from the proposed design procedure and hence it can reduce the time and cost. Finally, the effectiveness and benefits of the proposed control law is demonstrated through a numerical example by taking the experimental values of Japan Shinkansen HST. Journal: International Journal of Systems Science Pages: 3940-3951 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2016.1144225 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1144225 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3940-3951 Template-Type: ReDIF-Article 1.0 Author-Name: Editors Title: Corrigendum Abstract: Journal: International Journal of Systems Science Pages: 3979-3979 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2016.1153273 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1153273 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3979-3979 Template-Type: ReDIF-Article 1.0 Author-Name: Jindao Zha Author-X-Name-First: Jindao Author-X-Name-Last: Zha Author-Name: Chunbiao Li Author-X-Name-First: Chunbiao Author-X-Name-Last: Li Author-Name: Bing Song Author-X-Name-First: Bing Author-X-Name-Last: Song Author-Name: Wen Hu Author-X-Name-First: Wen Author-X-Name-Last: Hu Title: Synchronisation control of composite chaotic systems Abstract: Synchronisation conditions are studied for composite chaotic systems with complex compound structure and the signum function based on the theorem of zero-solution stability for a class of linear time-varying systems with countable discontinuous points. The synchronisation controller and its gain range are deduced according to the stability theorem, where the gain of the controller can speed synchronisation. Numerical simulation further proves the control theory and the validity of the synchronisation controller. The proposed controller can be widely applied in those chaotic systems with switch functions or other hybrid chaotic systems. Journal: International Journal of Systems Science Pages: 3952-3959 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2016.1157224 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1157224 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3952-3959 Template-Type: ReDIF-Article 1.0 Author-Name: Jian Liu Author-X-Name-First: Jian Author-X-Name-Last: Liu Author-Name: Xiaoe Ruan Author-X-Name-First: Xiaoe Author-X-Name-Last: Ruan Title: Networked iterative learning control approach for nonlinear systems with random communication delay Abstract: This paper constructs a proportional-type networked iterative learning control (NILC) scheme for a class of discrete-time nonlinear systems with the stochastic data communication delay within one operation duration and being subject to Bernoulli-type distribution. In the scheme, the communication delayed data is replaced by successfully captured one at the concurrent sampling moment of the latest iteration. The tracking performance of the addressed NILC algorithm is analysed by statistic technique in virtue of mathematical expectation. The analysis shows that, under certain conditions, the expectation of the tracking error measured in the form of 1-norm is asymptotically convergent to zero. Numerical experiments are carried out to illustrate the validity and effectiveness. Journal: International Journal of Systems Science Pages: 3960-3969 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2016.1165894 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1165894 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3960-3969 Template-Type: ReDIF-Article 1.0 Author-Name: Y. Xue Author-X-Name-First: Y. Author-X-Name-Last: Xue Author-Name: X. Zhang Author-X-Name-First: X. Author-X-Name-Last: Zhang Author-Name: Y. Y. Han Author-X-Name-First: Y. Y. Author-X-Name-Last: Han Author-Name: M. Shi Author-X-Name-First: M. Author-X-Name-Last: Shi Title: A delay-range-partition approach to analyse stability of linear systems with time-varying delays Abstract: In this paper, the stability analysis of linear systems with an interval time-varying delay is investigated. First, augmented Lyapunov–Krasovskii functionals are constructed, which include more information of the delay's range and the delay's derivative. Second, two improved integral inequalities, which are less conservative than Jensen's integral inequalities, and delay-range-partition approach are utilised to estimate the upper bounds of the derivatives of the augmented Lyapunov–Krasovskii functionals. Then, less conservative stability criteria are proposed no matter whether the lower bound of delay is zero or not. Finally, to illustrate the effectiveness of the stability criteria proposed in this paper, two numerical examples are given and their results are compared with the existing results. Journal: International Journal of Systems Science Pages: 3970-3977 Issue: 16 Volume: 47 Year: 2016 Month: 12 X-DOI: 10.1080/00207721.2016.1169333 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1169333 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3970-3977 Template-Type: ReDIF-Article 1.0 Author-Name: Yonggui Kao Author-X-Name-First: Yonggui Author-X-Name-Last: Kao Author-Name: Changhong Wang Author-X-Name-First: Changhong Author-X-Name-Last: Wang Author-Name: Jing Xie Author-X-Name-First: Jing Author-X-Name-Last: Xie Author-Name: Hamid Reza Karimi Author-X-Name-First: Hamid Reza Author-X-Name-Last: Karimi Title: New delay-dependent stability of Markovian jump neutral stochastic systems with general unknown transition rates Abstract: This paper investigates the delay-dependent stability problem for neutral Markovian jump systems with generally unknown transition rates (GUTRs). In this neutral GUTR model, each transition rate is completely unknown or only its estimate value is known. Based on the study of expectations of the stochastic cross-terms containing the Ito^$It\hat{o}$ integral, a new stability criterion is derived in terms of linear matrix inequalities. In the mathematical derivation process, bounding stochastic cross-terms, model transformation and free-weighting matrix are not employed for less conservatism. Finally, an example is provided to demonstrate the effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 2499-2509 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2014.998746 File-URL: http://hdl.handle.net/10.1080/00207721.2014.998746 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2499-2509 Template-Type: ReDIF-Article 1.0 Author-Name: Hongwei Jia Author-X-Name-First: Hongwei Author-X-Name-Last: Jia Author-Name: Jun Zhao Author-X-Name-First: Jun Author-X-Name-Last: Zhao Title: Output regulation of switched linear multi-agent systems: an agent-dependent average dwell time method Abstract: The output regulation problem of switched linear multi-agent systems with stabilisable and unstabilisable subsystems is investigated in this paper. A sufficient condition for the solvability of the problem is given. Owing to the characteristics of switched multi-agent systems, even if each agent has its own dwell time, the multi-agent systems, if viewed as an overall switched system, may not have a dwell time. To overcome this difficulty, we present a new approach, called an agent-dependent average dwell time method. Due to the limited information exchange between agents, a distributed dynamic observer network for agents is provided. Further, a distributed dynamic controller based on observer is designed. Finally, simulation results show the effectiveness of the proposed solutions. Journal: International Journal of Systems Science Pages: 2510-2520 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2014.998747 File-URL: http://hdl.handle.net/10.1080/00207721.2014.998747 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2510-2520 Template-Type: ReDIF-Article 1.0 Author-Name: Yiheng Wei Author-X-Name-First: Yiheng Author-X-Name-Last: Wei Author-Name: Zhenyuan Sun Author-X-Name-First: Zhenyuan Author-X-Name-Last: Sun Author-Name: Yangsheng Hu Author-X-Name-First: Yangsheng Author-X-Name-Last: Hu Author-Name: Yong Wang Author-X-Name-First: Yong Author-X-Name-Last: Wang Title: On fractional order composite model reference adaptive control Abstract: This paper presents a novel composite model reference adaptive control approach for a class of fractional order linear systems with unknown constant parameters. The method is extended from the model reference adaptive control. The parameter estimation error of our method depends on both the tracking error and the prediction error, whereas the existing method only depends on the tracking error, which makes our method has better transient performance in the sense of generating smooth system output. By the aid of the continuous frequency distributed model, stability of the proposed approach is established in the Lyapunov sense. Furthermore, the convergence property of the model parameters estimation is presented, on the premise that the closed-loop control system is stable. Finally, numerical simulation examples are given to demonstrate the effectiveness of the proposed schemes. Journal: International Journal of Systems Science Pages: 2521-2531 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2014.998749 File-URL: http://hdl.handle.net/10.1080/00207721.2014.998749 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2521-2531 Template-Type: ReDIF-Article 1.0 Author-Name: Zhiguang Feng Author-X-Name-First: Zhiguang Author-X-Name-Last: Feng Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Title: Dissipative control and filtering of discrete-time singular systems Abstract: In this paper, the problems of dissipative control and filtering of discrete-time singular systems are investigated. Based on parametrising the solutions of the constraint set, a necessary and sufficient condition is established in terms of strict linear matrix inequality which makes the condition more tractable. By using the system augmentation approach, a static output feedback controller design method is proposed to guarantee that the closed-loop system is admissible and strictly (Q, S, R) dissipative. Then, the result is applied to tackle the reduced-order filtering problem. The effectiveness of the obtained results in this paper is illustrated by numerical examples. Journal: International Journal of Systems Science Pages: 2532-2542 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2014.998751 File-URL: http://hdl.handle.net/10.1080/00207721.2014.998751 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2532-2542 Template-Type: ReDIF-Article 1.0 Author-Name: Yazdan Batmani Author-X-Name-First: Yazdan Author-X-Name-Last: Batmani Author-Name: Hamid Khaloozadeh Author-X-Name-First: Hamid Author-X-Name-Last: Khaloozadeh Title: On the design of suboptimal sliding manifold for a class of nonlinear uncertain time-delay systems Abstract: This paper proposes a new method to design suboptimal sliding manifolds for a class of nonlinear uncertain systems with state and input delays. A switching control law is obtained based on the designed suboptimal sliding manifold. It is proved that the proposed method is able to guarantee the stability of the closed-loop system in the presence of uncertainty. Three numerical simulations are given to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2543-2552 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2014.999263 File-URL: http://hdl.handle.net/10.1080/00207721.2014.999263 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2543-2552 Template-Type: ReDIF-Article 1.0 Author-Name: Jinjin Liu Author-X-Name-First: Jinjin Author-X-Name-Last: Liu Author-Name: Kanjian Zhang Author-X-Name-First: Kanjian Author-X-Name-Last: Zhang Author-Name: Haikun Wei Author-X-Name-First: Haikun Author-X-Name-Last: Wei Title: Robust stability of positive switched systems with dwell time Abstract: This paper studies robust stability of positive switched systems (PSSs) with polytopic uncertainties in both discrete-time and continuous-time contexts. By using multiple linear copositive Lyapunov functions, a sufficient condition for stability of PSSs with dwell time is addressed. Being different from time-invariant multiple linear copositive Lyapunov functions, the Lyapunov functions constructed in this paper are time-varying during the dwell time and time-invariant afterwards. Then, robust stability of PSSs with polytopic uncertainties is solved. All conditions are solvable via linear programming. Finally, illustrative examples are given to demonstrate the validity of the proposed results. Journal: International Journal of Systems Science Pages: 2553-2562 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2014.999265 File-URL: http://hdl.handle.net/10.1080/00207721.2014.999265 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2553-2562 Template-Type: ReDIF-Article 1.0 Author-Name: Tong Wang Author-X-Name-First: Tong Author-X-Name-Last: Wang Author-Name: Yongsheng Ding Author-X-Name-First: Yongsheng Author-X-Name-Last: Ding Author-Name: Lei Zhang Author-X-Name-First: Lei Author-X-Name-Last: Zhang Author-Name: Kuangrong Hao Author-X-Name-First: Kuangrong Author-X-Name-Last: Hao Title: Adaptive feedback synchronisation of complex dynamical network with discrete-time communications and delayed nodes Abstract: This paper considered the synchronisation of continuous complex dynamical networks with discrete-time communications and delayed nodes. The nodes in the dynamical networks act in the continuous manner, while the communications between nodes are discrete-time; that is, they communicate with others only at discrete time instants. The communication intervals in communication period can be uncertain and variable. By using a piecewise Lyapunov–Krasovskii function to govern the characteristics of the discrete communication instants, we investigate the adaptive feedback synchronisation and a criterion is derived to guarantee the existence of the desired controllers. The globally exponential synchronisation can be achieved by the controllers under the updating laws. Finally, two numerical examples including globally coupled network and nearest-neighbour coupled networks are presented to demonstrate the validity and effectiveness of the proposed control scheme. Journal: International Journal of Systems Science Pages: 2563-2571 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2014.999731 File-URL: http://hdl.handle.net/10.1080/00207721.2014.999731 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2563-2571 Template-Type: ReDIF-Article 1.0 Author-Name: Zhen Zhang Author-X-Name-First: Zhen Author-X-Name-Last: Zhang Author-Name: Chonghui Guo Author-X-Name-First: Chonghui Author-X-Name-Last: Guo Title: Consistency and consensus models for group decision-making with uncertain 2-tuple linguistic preference relations Abstract: Due to the uncertainty of the decision environment and the lack of knowledge, decision-makers may use uncertain linguistic preference relations to express their preferences over alternatives and criteria. For group decision-making problems with preference relations, it is important to consider the individual consistency and the group consensus before aggregating the preference information. In this paper, consistency and consensus models for group decision-making with uncertain 2-tuple linguistic preference relations (U2TLPRs) are investigated. First of all, a formula which can construct a consistent U2TLPR from the original preference relation is presented. Based on the consistent preference relation, the individual consistency index for a U2TLPR is defined. An iterative algorithm is then developed to improve the individual consistency of a U2TLPR. To help decision-makers reach consensus in group decision-making under uncertain linguistic environment, the individual consensus and group consensus indices for group decision-making with U2TLPRs are defined. Based on the two indices, an algorithm for consensus reaching in group decision-making with U2TLPRs is also developed. Finally, two examples are provided to illustrate the effectiveness of the proposed algorithms. Journal: International Journal of Systems Science Pages: 2572-2587 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2014.999732 File-URL: http://hdl.handle.net/10.1080/00207721.2014.999732 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2572-2587 Template-Type: ReDIF-Article 1.0 Author-Name: Aihua Hu Author-X-Name-First: Aihua Author-X-Name-Last: Hu Author-Name: Jinde Cao Author-X-Name-First: Jinde Author-X-Name-Last: Cao Author-Name: Manfeng Hu Author-X-Name-First: Manfeng Author-X-Name-Last: Hu Author-Name: Liuxiao Guo Author-X-Name-First: Liuxiao Author-X-Name-Last: Guo Title: Distributed control of cluster synchronisation in networks with randomly occurring non-linearities Abstract: This paper is concerned with the issue of mean square cluster synchronisation in complex networks, which consist of non-identical nodes with randomly occurring non-linearities. In order to guarantee synchronisation, distributed controllers depending on the information from the neighbours in the same cluster are applied to each node, meanwhile, the control gains are supposed to be updated according to the given laws. Based on the Lyapunov stability theory, the sufficient synchronisation conditions are derived and proved theoretically. Finally, a numerical example is presented to demonstrate the effectiveness of the results. Journal: International Journal of Systems Science Pages: 2588-2597 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2014.1002026 File-URL: http://hdl.handle.net/10.1080/00207721.2014.1002026 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2588-2597 Template-Type: ReDIF-Article 1.0 Author-Name: Rudy Cepeda-Gomez Author-X-Name-First: Rudy Author-X-Name-Last: Cepeda-Gomez Title: Finding the exact delay bound for consensus of linear multi-agent systems Abstract: This paper focuses on consensus problems for high-order, linear multi-agent systems. Undirected communication topologies along with a fixed and uniform communication time delay are taken into account. This class of problems has been widely studied in the literature, but there are still gaps concerning the exact stability bounds in the domain of the delays. The novelty of this paper lies in the determination of an exact and explicit delay bound for consensus. This is done in a very efficient manner by using the cluster treatment of characteristic roots (CTCR) paradigm. Before the stability analysis, a state transformation is performed to decouple the system and simplify the problem. CTCR is then deployed to the individual subsystems to obtain the stability margin in the domain of the delays without the conservatism introduced by other approaches more frequently found in the literature. Simulation results are presented to support the analytical claims. Journal: International Journal of Systems Science Pages: 2598-2606 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2015.1005194 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1005194 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2598-2606 Template-Type: ReDIF-Article 1.0 Author-Name: Magdi S. Mahmoud Author-X-Name-First: Magdi S. Author-X-Name-Last: Mahmoud Author-Name: Mohamed Saif Ur Rahman Author-X-Name-First: Mohamed Saif Ur Author-X-Name-Last: Rahman Author-Name: Fouad M. AL-Sunni Author-X-Name-First: Fouad M. Author-X-Name-Last: AL-Sunni Title: Networked control of microgrid system of systems Abstract: The microgrid has made its mark in distributed generation and has attracted widespread research. However, microgrid is a complex system which needs to be viewed from an intelligent system of systems perspective. In this paper, a network control system of systems is designed for the islanded microgrid system consisting of three distributed generation units as three subsystems supplying a load. The controller stabilises the microgrid system in the presence of communication infractions such as packet dropouts and delays. Simulation results are included to elucidate the effectiveness of the proposed control strategy. Journal: International Journal of Systems Science Pages: 2607-2619 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2015.1005723 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1005723 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2607-2619 Template-Type: ReDIF-Article 1.0 Author-Name: Zhifu Li Author-X-Name-First: Zhifu Author-X-Name-Last: Li Author-Name: Yueming Hu Author-X-Name-First: Yueming Author-X-Name-Last: Hu Author-Name: Di Li Author-X-Name-First: Di Author-X-Name-Last: Li Title: Robust design of feedback feed-forward iterative learning control based on 2D system theory for linear uncertain systems Abstract: For a class of linear discrete-time uncertain systems, a feedback feed-forward iterative learning control (ILC) scheme is proposed, which is comprised of an iterative learning controller and two current iteration feedback controllers. The iterative learning controller is used to improve the performance along the iteration direction and the feedback controllers are used to improve the performance along the time direction. First of all, the uncertain feedback feed-forward ILC system is presented by an uncertain two-dimensional Roesser model system. Then, two robust control schemes are proposed. One can ensure that the feedback feed-forward ILC system is bounded-input bounded-output stable along time direction, and the other can ensure that the feedback feed-forward ILC system is asymptotically stable along time direction. Both schemes can guarantee the system is robust monotonically convergent along the iteration direction. Third, the robust convergent sufficient conditions are given, which contains a linear matrix inequality (LMI). Moreover, the LMI can be used to determine the gain matrix of the feedback feed-forward iterative learning controller. Finally, the simulation results are presented to demonstrate the effectiveness of the proposed schemes. Journal: International Journal of Systems Science Pages: 2620-2631 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2015.1005724 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1005724 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2620-2631 Template-Type: ReDIF-Article 1.0 Author-Name: Yan Zhang Author-X-Name-First: Yan Author-X-Name-Last: Zhang Author-Name: D. Subbaram Naidu Author-X-Name-First: D. Subbaram Author-X-Name-Last: Naidu Author-Name: Chenxiao Cai Author-X-Name-First: Chenxiao Author-X-Name-Last: Cai Author-Name: Yun Zou Author-X-Name-First: Yun Author-X-Name-Last: Zou Title: Composite control of a class of nonlinear singularly perturbed discrete-time systems via D-SDRE Abstract: In this paper, the regulation problem of a class of nonlinear singularly perturbed discrete-time systems is investigated. Using the theory of singular perturbations and time scales, the nonlinear system is decoupled into reduced-order slow and fast (boundary layer) subsystems. Then, a composite controller consisting of two sub-controllers for the slow and fast subsystems is developed using the discrete-time state-dependent Riccati equation (D-SDRE). It is proved that the equilibrium point of the original closed-loop system with a composite controller is locally asymptotically stable. Moreover, the region of attraction of the closed-loop system is estimated by using linear matrix inequality. One example is given to illustrate the effectiveness of the results obtained. Journal: International Journal of Systems Science Pages: 2632-2641 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2015.1006710 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1006710 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2632-2641 Template-Type: ReDIF-Article 1.0 Author-Name: Qingrong Liu Author-X-Name-First: Qingrong Author-X-Name-Last: Liu Author-Name: Zhishan Liang Author-X-Name-First: Zhishan Author-X-Name-Last: Liang Title: Finite-time consensus of time-varying nonlinear multi-agent systems Abstract: This paper investigates the problem of leader–follower finite-time consensus for a class of time-varying nonlinear multi-agent systems. The dynamics of each agent is assumed to be represented by a strict feedback nonlinear system, where nonlinearities satisfy Lipschitz growth conditions with time-varying gains. The main design procedure is outlined as follows. First, it is shown that the leader–follower consensus problem is equivalent to a conventional control problem of multi-variable high-dimension systems. Second, by introducing a state transformation, the control problem is converted into the construction problem of two dynamic equations. Third, based on the Lyapunov stability theorem, the global finite-time stability of the closed-loop control system is proved, and the finite-time consensus of the concerned multi-agent systems is thus guaranteed. An example is given to verify the effectiveness of the proposed consensus protocol algorithm. Journal: International Journal of Systems Science Pages: 2642-2651 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2015.1010190 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1010190 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2642-2651 Template-Type: ReDIF-Article 1.0 Author-Name: Harish Sharma Author-X-Name-First: Harish Author-X-Name-Last: Sharma Author-Name: Jagdish Chand Bansal Author-X-Name-First: Jagdish Chand Author-X-Name-Last: Bansal Author-Name: K. V. Arya Author-X-Name-First: K. V. Author-X-Name-Last: Arya Author-Name: Xin-She Yang Author-X-Name-First: Xin-She Author-X-Name-Last: Yang Title: Lévy flight artificial bee colony algorithm Abstract: Artificial bee colony (ABC) optimisation algorithm is a relatively simple and recent population-based probabilistic approach for global optimisation. The solution search equation of ABC is significantly influenced by a random quantity which helps in exploration at the cost of exploitation of the search space. In the ABC, there is a high chance to skip the true solution due to its large step sizes. In order to balance between diversity and convergence in the ABC, a Lévy flight inspired search strategy is proposed and integrated with ABC. The proposed strategy is named as Lévy Flight ABC (LFABC) has both the local and global search capability simultaneously and can be achieved by tuning the Lévy flight parameters and thus automatically tuning the step sizes. In the LFABC, new solutions are generated around the best solution and it helps to enhance the exploitation capability of ABC. Furthermore, to improve the exploration capability, the numbers of scout bees are increased. The experiments on 20 test problems of different complexities and five real-world engineering optimisation problems show that the proposed strategy outperforms the basic ABC and recent variants of ABC, namely, Gbest-guided ABC, best-so-far ABC and modified ABC in most of the experiments. Journal: International Journal of Systems Science Pages: 2652-2670 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2015.1010748 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1010748 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2652-2670 Template-Type: ReDIF-Article 1.0 Author-Name: Yang Li Author-X-Name-First: Yang Author-X-Name-Last: Li Author-Name: Hua-Liang Wei Author-X-Name-First: Hua-Liang Author-X-Name-Last: Wei Author-Name: Stephen. A. Billings Author-X-Name-First: Stephen. A. Author-X-Name-Last: Billings Author-Name: P.G. Sarrigiannis Author-X-Name-First: P.G. Author-X-Name-Last: Sarrigiannis Title: Identification of nonlinear time-varying systems using an online sliding-window and common model structure selection (CMSS) approach with applications to EEG Abstract: The identification of nonlinear time-varying systems using linear-in-the-parameter models is investigated. An efficient common model structure selection (CMSS) algorithm is proposed to select a common model structure, with application to EEG data modelling. The time-varying parameters for the identified common-structured model are then estimated using a sliding-window recursive least squares (SWRLS) approach. The new method can effectively detect and adaptively track and rapidly capture the transient variation of nonstationary signals, and can also produce robust models with better generalisation properties. Two examples are presented to demonstrate the effectiveness and applicability of the new approach including an application to EEG data. Journal: International Journal of Systems Science Pages: 2671-2681 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2015.1014448 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1014448 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2671-2681 Template-Type: ReDIF-Article 1.0 Author-Name: Gholamreza Hesamian Author-X-Name-First: Gholamreza Author-X-Name-Last: Hesamian Title: One-way ANOVA based on interval information Abstract: This paper deals with extending the one-way analysis of variance (ANOVA) to the case where the observed data are represented by closed intervals rather than real numbers. In this approach, first a notion of interval random variable is introduced. Especially, a normal distribution with interval parameters is introduced to investigate hypotheses about the equality of interval means or test the homogeneity of interval variances assumption. Moreover, the least significant difference (LSD method) for investigating multiple comparison of interval means is developed when the null hypothesis about the equality of means is rejected. Then, at a given interval significance level, an index is applied to compare the interval test statistic and the related interval critical value as a criterion to accept or reject the null interval hypothesis of interest. Finally, the method of decision-making leads to some degrees to accept or reject the interval hypotheses. An applied example will be used to show the performance of this method. Journal: International Journal of Systems Science Pages: 2682-2690 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2015.1014449 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1014449 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2682-2690 Template-Type: ReDIF-Article 1.0 Author-Name: Shitie Zhao Author-X-Name-First: Shitie Author-X-Name-Last: Zhao Author-Name: Xianwen Gao Author-X-Name-First: Xianwen Author-X-Name-Last: Gao Title: Robust adaptive control for a class of uncertain non-affine nonlinear systems using affine-type neural networks Abstract: A robust adaptive control is proposed for a class of single-input single-output non-affine nonlinear systems. In order to approximate the unknown nonlinear function, a novel affine-type neural network is used, and then to compensate the approximation error and external disturbance a robust control term is employed. By Lyapunov stability analysis for the closed-loop system, it is proved that tracking errors asymptotically converge to zero. Moreover, an observer is designed to estimate the system states because all the states may not be available for measurements. Furthermore, the adaptation laws of neural networks and the robust controller are given out based on the Lyapunov stability theory. Finally, two simulation examples are presented to demonstrate the effectiveness of the proposed control method. Journal: International Journal of Systems Science Pages: 2691-2699 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2015.1015662 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1015662 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2691-2699 Template-Type: ReDIF-Article 1.0 Author-Name: Liyuan Wang Author-X-Name-First: Liyuan Author-X-Name-Last: Wang Author-Name: Ge Guo Author-X-Name-First: Ge Author-X-Name-Last: Guo Title: Control with a random access protocol and packet dropouts Abstract: This paper investigates networked control systems whose actuators communicate with the controller via a limited number of unreliable channels. The access to the channels is decided by a so-called group random access protocol, which is modelled as a binary Markov sequence. Data packet dropouts in the channels are modelled as independent Bernoulli processes. For such systems, a systematic characterisation for controller synthesis is established and stated in terms of the transition probabilities of the Markov protocol and the packet dropout probabilities. The results are illustrated via a numerical example. Journal: International Journal of Systems Science Pages: 2700-2708 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2015.1016471 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1016471 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2700-2708 Template-Type: ReDIF-Article 1.0 Author-Name: Lijun Long Author-X-Name-First: Lijun Author-X-Name-Last: Long Author-Name: Jun Zhao Author-X-Name-First: Jun Author-X-Name-Last: Zhao Title: Practical output tracking of switched nonlinear systems in -normal form with unstable subsystems Abstract: This paper studies practical output tracking of switched nonlinear systems in p-normal form. No solvability of the practical output tracking problem for subsystems is required. A constructive scheme to solve the problem for a switched nonlinear system is set up by exploiting the single Lyapunov function method and the tool of adding a power integrator. Also, we design a proper switching law and construct state-feedback controllers of subsystems. A two inverted pendulums as a practical example, which cannot be handled by the existing approaches, illustrates our theoretical result. Journal: International Journal of Systems Science Pages: 2709-2721 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2015.1018367 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1018367 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2709-2721 Template-Type: ReDIF-Article 1.0 Author-Name: Yinfeng Dou Author-X-Name-First: Yinfeng Author-X-Name-Last: Dou Author-Name: Chenjian Ran Author-X-Name-First: Chenjian Author-X-Name-Last: Ran Author-Name: Yuan Gao Author-X-Name-First: Yuan Author-X-Name-Last: Gao Title: Weighted measurement fusion Kalman estimator for multisensor descriptor system Abstract: For the multisensor linear stochastic descriptor system with correlated measurement noises, the fused measurement can be obtained based on the weighted least square (WLS) method, and the reduced-order state components are obtained applying singular value decomposition method. Then, the multisensor descriptor system is transformed to a fused reduced-order non-descriptor system with correlated noise. And the weighted measurement fusion (WMF) Kalman estimator of this reduced-order subsystem is presented. According to the relationship of the presented non-descriptor system and the original descriptor system, the WMF Kalman estimator and its estimation error variance matrix of the original multisensor descriptor system are presented. The presented WMF Kalman estimator has global optimality, and can avoid computing these cross-variances of the local Kalman estimator, compared with the state fusion method. A simulation example about three-sensors stochastic dynamic input and output systems in economy verifies the effectiveness. Journal: International Journal of Systems Science Pages: 2722-2732 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2015.1018368 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1018368 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2722-2732 Template-Type: ReDIF-Article 1.0 Author-Name: J. AlMutawa Author-X-Name-First: J. Author-X-Name-Last: AlMutawa Title: Robust maximum likelihood estimation for stochastic state space model with observation outliers Abstract: The objective of this paper is to develop a robust maximum likelihood estimation (MLE) for the stochastic state space model via the expectation maximisation algorithm to cope with observation outliers. Two types of outliers and their influence are studied in this paper: namely,the additive outlier (AO) and innovative outlier (IO). Due to the sensitivity of the MLE to AO and IO, we propose two techniques for robustifying the MLE: the weighted maximum likelihood estimation (WMLE) and the trimmed maximum likelihood estimation (TMLE). The WMLE is easy to implement with weights estimated from the data; however, it is still sensitive to IO and a patch of AO outliers. On the other hand, the TMLE is reduced to a combinatorial optimisation problem and hard to implement but it is efficient to both types of outliers presented here. To overcome the difficulty, we apply the parallel randomised algorithm that has a low computational cost. A Monte Carlo simulation result shows the efficiency of the proposed algorithms. Journal: International Journal of Systems Science Pages: 2733-2744 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2015.1018369 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1018369 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2733-2744 Template-Type: ReDIF-Article 1.0 Author-Name: Sheng Hong Author-X-Name-First: Sheng Author-X-Name-Last: Hong Author-Name: Hongqi Yang Author-X-Name-First: Hongqi Author-X-Name-Last: Yang Author-Name: Tingdi Zhao Author-X-Name-First: Tingdi Author-X-Name-Last: Zhao Author-Name: Xiaomin Ma Author-X-Name-First: Xiaomin Author-X-Name-Last: Ma Title: Epidemic spreading model of complex dynamical network with the heterogeneity of nodes Abstract: In this paper, we model epidemic spreading by considering the mobility of nodes in complex dynamical network based on mean field theory using differential equations. Moreover, a resistance factor which can characterise the impact of individual's difference on the propagation dynamics in complex dynamical network is proposed by considering the influence of total number of connections and the continuous time to remain in contact. The effect of heterogeneity on the evolution process of propagation dynamics is explored by simulation. Extensive simulations are conducted to study the key influence parameters and the influence of them on the spreading dynamics, which are helpful to the understanding of epidemic spreading mechanism and the designing of effective control strategies. Journal: International Journal of Systems Science Pages: 2745-2752 Issue: 11 Volume: 47 Year: 2016 Month: 8 X-DOI: 10.1080/00207721.2015.1022890 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1022890 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2745-2752 Template-Type: ReDIF-Article 1.0 Author-Name: Lidan Pei Author-X-Name-First: Lidan Author-X-Name-Last: Pei Author-Name: Feifei Jin Author-X-Name-First: Feifei Author-X-Name-Last: Jin Author-Name: Zhiwei Ni Author-X-Name-First: Zhiwei Author-X-Name-Last: Ni Author-Name: Huayou Chen Author-X-Name-First: Huayou Author-X-Name-Last: Chen Author-Name: Zhifu Tao Author-X-Name-First: Zhifu Author-X-Name-Last: Tao Title: An automatic iterative decision-making method for intuitionistic fuzzy linguistic preference relations Abstract: As a new preference structure, the intuitionistic fuzzy linguistic preference relation (IFLPR) was recently introduced to efficiently deal with situations in which the membership and non-membership are represented as linguistic terms. In this paper, we study the issues of additive consistency and the derivation of the intuitionistic fuzzy weight vector of an IFLPR. First, the new concepts of order consistency, additive consistency and weak transitivity for IFLPRs are introduced, and followed by a discussion of the characterisation about additive consistent IFLPRs. Then, a parameterised transformation approach is investigated to convert the normalised intuitionistic fuzzy weight vector into additive consistent IFLPRs. After that, a linear optimisation model is established to derive the normalised intuitionistic fuzzy weights for IFLPRs, and a consistency index is defined to measure the deviation degree between an IFLPR and its additive consistent IFLPR. Furthermore, we develop an automatic iterative decision-making method to improve the IFLPRs with unacceptable additive consistency until the adjusted IFLPRs are acceptable additive consistent, and it helps the decision-maker to obtain the reasonable and reliable decision-making results. Finally, an illustrative example is provided to demonstrate the validity and applicability of the proposed method. Journal: International Journal of Systems Science Pages: 2779-2793 Issue: 13 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1343405 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1343405 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:13:p:2779-2793 Template-Type: ReDIF-Article 1.0 Author-Name: Jianlei Zhang Author-X-Name-First: Jianlei Author-X-Name-Last: Zhang Author-Name: Zengqiang Chen Author-X-Name-First: Zengqiang Author-X-Name-Last: Chen Author-Name: Zhiqi Li Author-X-Name-First: Zhiqi Author-X-Name-Last: Li Title: Strategy evolution driven by switching probabilities in structured multi-agent systems Abstract: Evolutionary mechanism driving the commonly seen cooperation among unrelated individuals is puzzling. Related models for evolutionary games on graphs traditionally assume that players imitate their successful neighbours with higher benefits. Notably, an implicit assumption here is that players are always able to acquire the required pay-off information. To relax this restrictive assumption, a contact-based model has been proposed, where switching probabilities between strategies drive the strategy evolution. However, the explicit and quantified relation between a player's switching probability for her strategies and the number of her neighbours remains unknown. This is especially a key point in heterogeneously structured system, where players may differ in the numbers of their neighbours. Focusing on this, here we present an augmented model by introducing an attenuation coefficient and evaluate its influence on the evolution dynamics. Results show that the individual influence on others is negatively correlated with the contact numbers specified by the network topologies. Results further provide the conditions under which the coexisting strategies can be calculated analytically. Journal: International Journal of Systems Science Pages: 2692-2702 Issue: 13 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1343406 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1343406 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:13:p:2692-2702 Template-Type: ReDIF-Article 1.0 Author-Name: Danilo Zucolli Figueiredo Author-X-Name-First: Danilo Zucolli Author-X-Name-Last: Figueiredo Author-Name: Oswaldo Luiz do Valle Costa Author-X-Name-First: Oswaldo Luiz do Valle Author-X-Name-Last: Costa Title: H-control and the separation principle for discrete-time jump systems with the Markov chain in a general state space Abstract: This paper deals with the H2 optimal control problem of discrete-time Markov jump linear systems (MJLS) considering the case in which the Markov chain takes values in a general Borel space S$\mathcal {S}$. It is assumed that the controller has access only to an output variable and to the jump parameter. The goal, in this case, is to design a dynamic Markov jump controller such that the H2-norm of the closed-loop system is minimised. It is shown that the H2-norm can be written as the sum of two H2-norms, such that one of them does not depend on the control, and the other one is obtained from the optimal filter for an infinite-horizon filtering problem. This result can be seen as a separation principle for MJLS with Markov chain in a Borel space S$\mathcal {S}$ considering the infinite time horizon case. Journal: International Journal of Systems Science Pages: 2728-2741 Issue: 13 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1344331 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1344331 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:13:p:2728-2741 Template-Type: ReDIF-Article 1.0 Author-Name: Ke-Zhen Han Author-X-Name-First: Ke-Zhen Author-X-Name-Last: Han Author-Name: Jian Feng Author-X-Name-First: Jian Author-X-Name-Last: Feng Author-Name: Xiaohong Cui Author-X-Name-First: Xiaohong Author-X-Name-Last: Cui Title: Fault-tolerant optimised tracking control for unknown discrete-time linear systems using a combined reinforcement learning and residual compensation methodology Abstract: This paper considers the fault-tolerant optimised tracking control (FTOTC) problem for unknown discrete-time linear system. A research scheme is proposed on the basis of data-based parity space identification, reinforcement learning and residual compensation techniques. The main characteristic of this research scheme lies in the parity-space-identification-based simultaneous tracking control and residual compensation. The specific technical line consists of four main contents: apply subspace aided method to design observer-based residual generator; use reinforcement Q-learning approach to solve optimised tracking control policy; rely on robust H∞ theory to achieve noise attenuation; adopt fault estimation triggered by residual generator to perform fault compensation. To clarify the design and implementation procedures, an integrated algorithm is further constructed to link up these four functional units. The detailed analysis and proof are subsequently given to explain the guaranteed FTOTC performance of the proposed conclusions. Finally, a case simulation is provided to verify its effectiveness. Journal: International Journal of Systems Science Pages: 2811-2825 Issue: 13 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1344890 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1344890 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:13:p:2811-2825 Template-Type: ReDIF-Article 1.0 Author-Name: M. Syed Ali Author-X-Name-First: M. Syed Author-X-Name-Last: Ali Author-Name: N. Gunasekaran Author-X-Name-First: N. Author-X-Name-Last: Gunasekaran Author-Name: B. Aruna Author-X-Name-First: B. Author-X-Name-Last: Aruna Title: Design of sampled-data control for multiple-time delayed generalised neural networks based on delay-partitioning approach Abstract: In this paper, we addressed the problem of stability analysis for a class of generalised mixed delayed neural networks by delay-partitioning approach. A novel integral inequality is developed by employing Wirtinger's integral inequality and Leibniz–Newton formula. By constructing an augmented Lyapunov–Krasovskii functional with triple and quadruple integral terms and using some standard integral inequality techniques, asymptotic stability criterion is obtained to the concerned neural networks. By converting the sampling period into a bounded time-varying delays, the error dynamics of the considered generalised neural networks are derived in terms of a dynamic system with sampling. Finally, numerical examples are given to show that the proposed method is less conservative than existing ones. Journal: International Journal of Systems Science Pages: 2794-2810 Issue: 13 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1344891 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1344891 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:13:p:2794-2810 Template-Type: ReDIF-Article 1.0 Author-Name: Yongbao Wu Author-X-Name-First: Yongbao Author-X-Name-Last: Wu Author-Name: Wenxue Li Author-X-Name-First: Wenxue Author-X-Name-Last: Li Author-Name: Jiqiang Feng Author-X-Name-First: Jiqiang Author-X-Name-Last: Feng Title: Stabilisation of stochastic coupled systems via feedback control based on discrete-time state observations Abstract: This paper is concerned with the stabilisation of stochastic coupled systems (SCSs) via feedback control based on discrete-time state observations. State feedback control based on discrete-time observations is designed in the drift parts of the SCSs. Based on graph theory and Lyapunov method, the upper bound of the duration between two consecutive state observations is obtained. And a systematic method is given to construct a global Lyapunov function for SCSs via feedback control based on discrete-time state observations. A Lyapunov-type theorem and a coefficient-type criterion are obtained to guarantee the stabilisation in the sense of mean-square asymptotical stability and mean-square exponential stability. Furthermore, we use the theoretical results to analyse the stabilisation of stochastic coupled oscillators. Finally, we give a numerical example to illustrate the effectiveness and feasibility of the developed theoretical results. Journal: International Journal of Systems Science Pages: 2850-2859 Issue: 13 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1344892 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1344892 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:13:p:2850-2859 Template-Type: ReDIF-Article 1.0 Author-Name: Yan-Hui Jing Author-X-Name-First: Yan-Hui Author-X-Name-Last: Jing Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Adaptive quantised fault-tolerant tracking control of uncertain nonlinear systems with unknown control direction and the prescribed accuracy Abstract: In this paper, the problem of adaptive fault-tolerant tracking control for a class of uncertain nonlinear systems in the presence of input quantisation and unknown control direction is considered. By choosing a class of particular Nussbaum functions, an adaptive fault-tolerant control scheme is designed to compensate actuator faults and input quantisation while the control direction is unknown. Compared with the existing results, the proposed controller can directly compensate for the nonlinear term caused by actuator faults and the nonlinear decomposition on the quantiser without estimating its bound. Furthermore, via Barhalant's Lemma, it is proven that all the signals of the closed-loop system are globally uniformly bounded and the tracking error converges into a prescribed accuracy in prior. Finally, an illustrative example is used for verifying effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 2826-2837 Issue: 13 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1344893 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1344893 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:13:p:2826-2837 Template-Type: ReDIF-Article 1.0 Author-Name: Dong Shen Author-X-Name-First: Dong Author-X-Name-Last: Shen Author-Name: Chao Zhang Author-X-Name-First: Chao Author-X-Name-Last: Zhang Title: Learning control for discrete-time nonlinear systems with sensor saturation and measurement noises Abstract: The iterative learning control (ILC) is investigated for a class of nonlinear systems with measurement noises where the output is subject to sensor saturation. An ILC algorithm is introduced based on the measured output information rather than the actual output signal. A decreasing sequence is also incorporated into the learning algorithm to ensure a stable convergence under stochastic noises. It is strictly proved with the help of the stochastic approximation technique that the input sequence converges to the desired input almost surely along the iteration axis. Illustrative simulations are exploited to verify the effectiveness of the proposed algorithm. Journal: International Journal of Systems Science Pages: 2764-2778 Issue: 13 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1344894 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1344894 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:13:p:2764-2778 Template-Type: ReDIF-Article 1.0 Author-Name: Shu-Ting Sun Author-X-Name-First: Shu-Ting Author-X-Name-Last: Sun Author-Name: Xiao-Dong Li Author-X-Name-First: Xiao-Dong Author-X-Name-Last: Li Author-Name: Ren-Xin Zhong Author-X-Name-First: Ren-Xin Author-X-Name-Last: Zhong Title: An open-closed-loop iterative learning control approach for nonlinear switched systems with application to freeway traffic control Abstract: For nonlinear switched discrete-time systems with input constraints, this paper presents an open-closed-loop iterative learning control (ILC) approach, which includes a feedforward ILC part and a feedback control part. Under a given switching rule, the mathematical induction is used to prove the convergence of ILC tracking error in each subsystem. It is demonstrated that the convergence of ILC tracking error is dependent on the feedforward control gain, but the feedback control can speed up the convergence process of ILC by a suitable selection of feedback control gain. A switched freeway traffic system is used to illustrate the effectiveness of the proposed ILC law. Journal: International Journal of Systems Science Pages: 2752-2763 Issue: 13 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1346153 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1346153 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:13:p:2752-2763 Template-Type: ReDIF-Article 1.0 Author-Name: Jun Zhou Author-X-Name-First: Jun Author-X-Name-Last: Zhou Author-Name: Feng Pan Author-X-Name-First: Feng Author-X-Name-Last: Pan Author-Name: Tingting Cai Author-X-Name-First: Tingting Author-X-Name-Last: Cai Author-Name: Yuqing Sun Author-X-Name-First: Yuqing Author-X-Name-Last: Sun Author-Name: Wuneng Zhou Author-X-Name-First: Wuneng Author-X-Name-Last: Zhou Author-Name: Huashan Liu Author-X-Name-First: Huashan Author-X-Name-Last: Liu Title: Synchronisation control for neutral-type multi-slave stochastic hybrid systems Abstract: In this paper, an exponential synchronisation problem for neutral-type multi-slave hybrid systems with stochastic perturbation is discussed, where the adaptive synchronisation model involves a master system and multiple slave systems. By the use of generalised Ito^$\hat{o}$'s formula and M-matrix method, a sufficient condition is obtained to guarantee the stability of the error system, and the update law of the feedback controller is determined to deduce the synchronisation between the master system and the sum system of all slave systems. Finally, a numerical example is given to illustrate the effectiveness of the results obtained in this paper. Journal: International Journal of Systems Science Pages: 2742-2751 Issue: 13 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1346725 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1346725 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:13:p:2742-2751 Template-Type: ReDIF-Article 1.0 Author-Name: Jun-Wei Zhu Author-X-Name-First: Jun-Wei Author-X-Name-Last: Zhu Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Author-Name: Wen-An Zhang Author-X-Name-First: Wen-An Author-X-Name-Last: Zhang Author-Name: Li Yu Author-X-Name-First: Li Author-X-Name-Last: Yu Title: Cooperative tracking control for linear multi-agent systems with external disturbances under a directed graph Abstract: This paper studiesthe cooperative tracking control problem for multi-agent systems with unknown external disturbances under a directed graph. The leader's input is nonzero and unavailable to the followers. Based on the relative output measurements of neighbouring agents, a novel observer-based cooperative tracking protocol is presented, where the a group of intermediate estimators are constructed to estimate the tracking errors and the combined signal of the disturbances and the leader's input simultaneously, then decentralised tracking protocols are designed based on the obtained estimates. The states of the global tracking error system are proved to be uniformly ultimately bounded. A numerical example of aircraft illustrates the effectiveness of the cooperative tracking protocol. Journal: International Journal of Systems Science Pages: 2683-2691 Issue: 13 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1347304 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1347304 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:13:p:2683-2691 Template-Type: ReDIF-Article 1.0 Author-Name: A.J. Muñoz-Vázquez Author-X-Name-First: A.J. Author-X-Name-Last: Muñoz-Vázquez Author-Name: V. Parra-Vega Author-X-Name-First: V. Author-X-Name-Last: Parra-Vega Author-Name: A. Sánchez-Orta Author-X-Name-First: A. Author-X-Name-Last: Sánchez-Orta Title: A novel continuous fractional sliding mode control Abstract: A new fractional-order controller is proposed, whose novelty is twofold: (i) it withstands a class of continuous but not necessarily differentiable disturbances as well as uncertainties and unmodelled dynamics, and (ii) based on a principle of dynamic memory resetting of the differintegral operator, it is enforced an invariant sliding mode in finite time. Both (i) and (ii) account for exponential convergence of tracking errors, where such principle is instrumental to demonstrate the closed-loop stability, robustness and a sustained sliding motion, as well as that high frequencies are filtered out from the control signal. The proposed methodology is illustrated with a representative simulation study. Journal: International Journal of Systems Science Pages: 2901-2908 Issue: 13 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1348564 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1348564 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:13:p:2901-2908 Template-Type: ReDIF-Article 1.0 Author-Name: M. Kang Author-X-Name-First: M. Author-X-Name-Last: Kang Author-Name: J. Cheong Author-X-Name-First: J. Author-X-Name-Last: Cheong Author-Name: H.M. Do Author-X-Name-First: H.M. Author-X-Name-Last: Do Author-Name: Y. Son Author-X-Name-First: Y. Author-X-Name-Last: Son Author-Name: S.-I. Niculescu Author-X-Name-First: S.-I. Author-X-Name-Last: Niculescu Title: A practical iterative PID tuning method for mechanical systems using parameter chart Abstract: In this paper, we propose a method of iterative proportional-integral-derivative parameter tuning for mechanical systems that possibly possess hidden mechanical resonances, using a parameter chart which visualises the closed-loop characteristics in a 2D parameter space. We employ a hypothetical assumption that the considered mechanical systems have their upper limit of the derivative feedback gain, from which the feasible region in the parameter chart becomes fairly reduced and thus the gain selection can be extremely simplified. Then, a two-directional parameter search is carried out within the feasible region in order to find the best set of parameters. Experimental results show the validity of the assumption used and the proposed parameter tuning method. Journal: International Journal of Systems Science Pages: 2887-2900 Issue: 13 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1357769 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1357769 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:13:p:2887-2900 Template-Type: ReDIF-Article 1.0 Author-Name: Taha H. S. Abdelaziz Author-X-Name-First: Taha H. S. Author-X-Name-Last: Abdelaziz Title: Pole assignment of multivariable systems using proportional-derivative state feedback Abstract: In this article, the parametric solution to the pole assignment problem for multivariable linear time-invariant systems controlled by proportional-derivative (PD) state feedback is developed. The new expressions for the PD gain controllers are derived which describe the available degrees of freedom offered by PD state feedback. The freedom provided by PD state gain matrices is utilised to obtain closed-loop systems with robust and small gain matrices. Two computational algorithms are introduced, and their effectiveness is demonstrated by two simulation examples. Journal: International Journal of Systems Science Pages: 2871-2886 Issue: 13 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1359349 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1359349 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:13:p:2871-2886 Template-Type: ReDIF-Article 1.0 Author-Name: Xiuyu He Author-X-Name-First: Xiuyu Author-X-Name-Last: He Author-Name: Wei He Author-X-Name-First: Wei Author-X-Name-Last: He Author-Name: Changyin Sun Author-X-Name-First: Changyin Author-X-Name-Last: Sun Title: Robust adaptive vibration control for an uncertain flexible Timoshenko robotic manipulator with input and output constraints Abstract: The problems of the constraints and the vibration suppression are investigated for the flexible Timoshenko robotic manipulator in this paper. Robust adaptive boundary control laws with the disturbance observes are designed to guarantee the convergence of the feedback flexible Timoshenko robotic manipulator system with the uncertain parameters and the states are proven to be uniform bounded. In addition, the proposed boundary controls are verified to be effectiveness by the numeral experiments. Journal: International Journal of Systems Science Pages: 2860-2870 Issue: 13 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1360963 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1360963 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:13:p:2860-2870 Template-Type: ReDIF-Article 1.0 Author-Name: Dechao Chen Author-X-Name-First: Dechao Author-X-Name-Last: Chen Author-Name: Yunong Zhang Author-X-Name-First: Yunong Author-X-Name-Last: Zhang Title: Jerk-level synchronous repetitive motion scheme with gradient-type and zeroing-type dynamics algorithms applied to dual-arm redundant robot system control Abstract: Dual-arm redundant robot systems are usually required to handle primary tasks, repetitively and synchronously in practical applications. In this paper, a jerk-level synchronous repetitive motion scheme is proposed to remedy the joint-angle drift phenomenon and achieve the synchronous control of a dual-arm redundant robot system. The proposed scheme is novelly resolved at jerk level, which makes the joint variables, i.e. joint angles, joint velocities and joint accelerations, smooth and bounded. In addition, two types of dynamics algorithms, i.e. gradient-type (G-type) and zeroing-type (Z-type) dynamics algorithms, for the design of repetitive motion variable vectors, are presented in detail with the corresponding circuit schematics. Subsequently, the proposed scheme is reformulated as two dynamical quadratic programs (DQPs) and further integrated into a unified DQP (UDQP) for the synchronous control of a dual-arm robot system. The optimal solution of the UDQP is found by the piecewise-linear projection equation neural network. Moreover, simulations and comparisons based on a six-degrees-of-freedom planar dual-arm redundant robot system substantiate the operation effectiveness and tracking accuracy of the robot system with the proposed scheme for repetitive motion and synchronous control. Journal: International Journal of Systems Science Pages: 2713-2727 Issue: 13 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1363310 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1363310 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:13:p:2713-2727 Template-Type: ReDIF-Article 1.0 Author-Name: Penghua Li Author-X-Name-First: Penghua Author-X-Name-Last: Li Title: Global finite-time attitude consensus tracking control for a group of rigid spacecraft Abstract: The problem of finite-time attitude consensus for multiple rigid spacecraft with a leader–follower architecture is investigated in this paper. To achieve the finite-time attitude consensus, at the first step, a distributed finite-time convergent observer is proposed for each follower to estimate the leader's attitude in a finite time. Then based on the terminal sliding mode control method, a new finite-time attitude tracking controller is designed such that the leader's attitude can be tracked in a finite time. Finally, a finite-time observer-based distributed control strategy is proposed. It is shown that the attitude consensus can be achieved in a finite time under the proposed controller. Simulation results are given to show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2703-2712 Issue: 13 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1363311 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1363311 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:13:p:2703-2712 Template-Type: ReDIF-Article 1.0 Author-Name: Liang Cao Author-X-Name-First: Liang Author-X-Name-Last: Cao Author-Name: Dong Zhao Author-X-Name-First: Dong Author-X-Name-Last: Zhao Author-Name: Youqing Wang Author-X-Name-First: Youqing Author-X-Name-Last: Wang Title: Simultaneous estimation of multiple channel faults for two-dimensional linear systems Abstract: This study focuses on the problem of simultaneous estimation of multiple channel faults for two-dimensional linear systems, which are described by Fornasini–Marchesini second (FM-II) model, and the faults that exist in state equation and measurement equation. By transforming the fault in the measurement equation as augmented state, the FM-II model with faults in the state equation and measurement equation can be rewritten into a singular system. Hence, several observers are proposed for the singular systems, and then the estimation of the faults in the state equation and measurement equation can be obtained. Using Lyapunov stability theory, sufficient conditions for the existence of the asymptotically stable observer and uniformly ultimately bounded observer are derived in the context of time domain. For the bounded observer, the upper bound of estimation error can be provided referring to the fault bound. Numerical and practical examples are given to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2838-2849 Issue: 13 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1363313 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1363313 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:13:p:2838-2849 Template-Type: ReDIF-Article 1.0 Author-Name: Yuichi Kobayashi Author-X-Name-First: Yuichi Author-X-Name-Last: Kobayashi Author-Name: Masaki Onishi Author-X-Name-First: Masaki Author-X-Name-Last: Onishi Author-Name: Shigeyuki Hosoe Author-X-Name-First: Shigeyuki Author-X-Name-Last: Hosoe Author-Name: Zhiwei Luo Author-X-Name-First: Zhiwei Author-X-Name-Last: Luo Title: Multi-tasking arbitration and behaviour design for human-interactive robots Abstract: Robots that interact with humans in household environments are required to handle multiple real-time tasks simultaneously, such as carrying objects, collision avoidance and conversation with human. This article presents a design framework for the control and recognition processes to meet these requirements taking into account stochastic human behaviour. The proposed design method first introduces a Petri net for synchronisation of multiple tasks. The Petri net formulation is converted to Markov decision processes and processed in an optimal control framework. Three tasks (safety confirmation, object conveyance and conversation) interact and are expressed by the Petri net. Using the proposed framework, tasks that normally tend to be designed by integrating many if–then rules can be designed in a systematic manner in a state estimation and optimisation framework from the viewpoint of the shortest time optimal control. The proposed arbitration method was verified by simulations and experiments using RI-MAN, which was developed for interactive tasks with humans. Journal: International Journal of Systems Science Pages: 795-811 Issue: 5 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.625477 File-URL: http://hdl.handle.net/10.1080/00207721.2011.625477 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:5:p:795-811 Template-Type: ReDIF-Article 1.0 Author-Name: Li-li Li Author-X-Name-First: Li-li Author-X-Name-Last: Li Author-Name: Jun Zhao Author-X-Name-First: Jun Author-X-Name-Last: Zhao Author-Name: Georgi Dimirovski Author-X-Name-First: Georgi Author-X-Name-Last: Dimirovski Title: Multiple Lyapunov functions approach to observer-based control for switched systems Abstract: This article investigates the issue of H∞ control for a class of continuous-time switched Lipschitz nonlinear systems. None of the individual subsystems is assumed to be stabilisable with H∞ disturbance attenuation. Based on a generalised multiple Lyapunov functions (GMLFs) approach, which removes the nonincreasing requirement at switching points, a sufficient condition for the solvability of the H∞ control problem under a state estimation-dependent switching law is presented. Observers, controllers and a switching law are simultaneously designed. As an extension, a sufficient condition for exponential stabilisability is also given. Journal: International Journal of Systems Science Pages: 812-819 Issue: 5 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.625479 File-URL: http://hdl.handle.net/10.1080/00207721.2011.625479 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:5:p:812-819 Template-Type: ReDIF-Article 1.0 Author-Name: Maiying Zhong Author-X-Name-First: Maiying Author-X-Name-Last: Zhong Author-Name: Steven Ding Author-X-Name-First: Steven Author-X-Name-Last: Ding Title: A projection-based method of fault detection for linear discrete time-varying systems Abstract: This article is aimed at the development of a residual generator by making use of an arbitrary linear combination of measurement output estimation error sequence. First, Gramian matrix-based criteria are proposed to measure the influences of an unknown input and a fault on the residual. Then, the design of the residual generator is formulated into a sensitivity/robustness ratio maximisation problem. It is shown that the optimal solution is not unique and one of them can be derived by directly applying an orthogonal projection of the measurement output and, with the aid of an innovation analysis, a more generalised residual generator is also obtained. Furthermore, it is demonstrated that the obtained residual generators in state space description also provide optimal observer-based fault detection filters for the linear discrete time-varying systems subject to l2-norm bounded unknown inputs or stochastic noise sequences. To show the effectiveness of the proposed method, a numerical example is given. Journal: International Journal of Systems Science Pages: 820-830 Issue: 5 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.625481 File-URL: http://hdl.handle.net/10.1080/00207721.2011.625481 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:5:p:820-830 Template-Type: ReDIF-Article 1.0 Author-Name: Paolo Gunetti Author-X-Name-First: Paolo Author-X-Name-Last: Gunetti Author-Name: Haydn Thompson Author-X-Name-First: Haydn Author-X-Name-Last: Thompson Author-Name: Tony Dodd Author-X-Name-First: Tony Author-X-Name-Last: Dodd Title: Autonomous mission management for UAVs using soar intelligent agents Abstract: State-of-the-art unmanned aerial vehicles (UAVs) are typically able to autonomously execute a pre-planned mission. However, UAVs usually fly in a very dynamic environment which requires dynamic changes to the flight plan; this mission management activity is usually tasked to human supervision. Within this article, a software system that autonomously accomplishes the mission management task for a UAV will be proposed. The system is based on a set of theoretical concepts which allow the description of a flight plan and implemented using a combination of Soar intelligent agents and traditional control techniques. The system is capable of automatically generating and then executing an entire flight plan after being assigned a set of objectives. This article thoroughly describes all system components and then presents the results of tests that were executed using a realistic simulation environment. Journal: International Journal of Systems Science Pages: 831-852 Issue: 5 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.626902 File-URL: http://hdl.handle.net/10.1080/00207721.2011.626902 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:5:p:831-852 Template-Type: ReDIF-Article 1.0 Author-Name: P. Rodríguez-Ayerbe Author-X-Name-First: P. Author-X-Name-Last: Rodríguez-Ayerbe Author-Name: S. Olaru Author-X-Name-First: S. Author-X-Name-Last: Olaru Title: On the disturbance model in the robustification of explicit predictive control Abstract: This article deals with the predictive control for linear systems, described in a explicit form as piecewise affine (PWA) state feedback laws. The main goal is to reduce the sensitivity of these schemes with respect to the model uncertainties. This objective can be attained by considering worst-case (min–max) formulations, optimisation over the control policies or tube predictive control. Such comprehensive approaches may lead to fastidious on-line optimisation, thus reducing the range of application. In the present note, a two-stage predictive strategy is proposed, which in the first place synthesises an analytical (continuous and piecewise linear) control law based on the nominal model and secondly robustifies the control law in the neighbourhood of the equilibrium point (the feedback gain obtained for the unconstrained control problem – most often assimilated to the LQR gain). How the disturbance model corresponding to the unconstrained control robustification can be used to improve the robustness of the PWA control law is also shown. Journal: International Journal of Systems Science Pages: 853-864 Issue: 5 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.626903 File-URL: http://hdl.handle.net/10.1080/00207721.2011.626903 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:5:p:853-864 Template-Type: ReDIF-Article 1.0 Author-Name: Lei Gao Author-X-Name-First: Lei Author-X-Name-Last: Gao Author-Name: Yongsheng Ding Author-X-Name-First: Yongsheng Author-X-Name-Last: Ding Author-Name: Fang Li Author-X-Name-First: Fang Author-X-Name-Last: Li Title: Evaluating environmental strategies in a textile printing and dyeing enterprise by an agent-based simulation model Abstract: To improve the capabilities of saving energy and reducing pollutant emission of textile printing and dyeing (PD) industry, this article presents a novel agent-based simulation model for assessing the impacts of environmental strategies on a PD enterprise. Two typical PD enterprises in China are simulated with different modelling granularities: one is at a module level, while the other is at an enterprise level. The module-level simulation model depicts detailed production processes in a PD enterprise and evaluates five candidate strategies on their capabilities of improving energy usage and waste emission. The enterprise-level simulation model views a PD enterprise as an agent and assesses three tax strategies for waste discharge. The simulation results show that the proposed general model could be a valuable tool to explore potential solutions to saving energy and reducing waste emission in PD enterprises, after being calibrated to a real case. Journal: International Journal of Systems Science Pages: 865-876 Issue: 5 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.626904 File-URL: http://hdl.handle.net/10.1080/00207721.2011.626904 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:5:p:865-876 Template-Type: ReDIF-Article 1.0 Author-Name: Chien-Kuo Sung Author-X-Name-First: Chien-Kuo Author-X-Name-Last: Sung Author-Name: Shey-Huei Sheu Author-X-Name-First: Shey-Huei Author-X-Name-Last: Sheu Author-Name: Tsung-Shin Hsu Author-X-Name-First: Tsung-Shin Author-X-Name-Last: Hsu Author-Name: Yan-Chun Chen Author-X-Name-First: Yan-Chun Author-X-Name-Last: Chen Title: Extended optimal replacement policy for a two-unit system with failure rate interaction and external shocks Abstract: This study presents an extended replacement policy for a two-unit system which is subjected to shocks and exhibits failure rate from interaction. The external shocks that affect the system are of two types. A type I shock causes a minor failure of unit-A and the damage that is caused by such a failure affects unit-B, whereas a type II shock causes a total failure of the system (catastrophic failure). All unit-A failures can be recovered by making minimal repairs. The system also exhibits the interaction between the failure rates of units: a failure of any unit-A causes an internal shock that increases the failure rate of unit-B, whereas a failure of a unit-B causes instantaneous failure of unit-A. The goal of this study is to derive the long-run cost per unit time of replacement by introducing relative costs as a factor in determining optimality; then, the optimal replacement period, T*, and the optimal number of unit-A failures, n*, which minimise that cost can be determined. A numerical example illustrates the method. Journal: International Journal of Systems Science Pages: 877-888 Issue: 5 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.626905 File-URL: http://hdl.handle.net/10.1080/00207721.2011.626905 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:5:p:877-888 Template-Type: ReDIF-Article 1.0 Author-Name: Jia Xu Author-X-Name-First: Jia Author-X-Name-Last: Xu Author-Name: Jitao Sun Author-X-Name-First: Jitao Author-X-Name-Last: Sun Title: Finite-time stability of nonlinear switched impulsive systems Abstract: In this article, the problem of finite-time stability (FTS) of nonlinear switched impulsive systems is first considered. A new concept of FTS is introduced and sufficient conditions for a switched impulsive system to be finite-time stable are presented by using switched Lyapunov functions. Some results of FTS of impulsive systems and switched systems can be obtained from this article as special cases, respectively. Two numerical examples are given to illustrate the effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 889-895 Issue: 5 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.627474 File-URL: http://hdl.handle.net/10.1080/00207721.2011.627474 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:5:p:889-895 Template-Type: ReDIF-Article 1.0 Author-Name: Quang Nguyen Author-X-Name-First: Quang Author-X-Name-Last: Nguyen Author-Name: Vojtech Veselý Author-X-Name-First: Vojtech Author-X-Name-Last: Veselý Author-Name: Danica Rosinová Author-X-Name-First: Danica Author-X-Name-Last: Rosinová Title: Design of robust model predictive control with input constraints Abstract: This article addresses the problem of designing a robust output feedback model predictive control (MPC) with input constraints, which ensures a parameter-dependent quadratic stability and guaranteed cost for the case of linear polytopic systems. A new heuristic method is introduced to guarantee input constraints for the MPC. To reject disturbances and maintain the process at the optimal operating conditions or setpoints, the integrator is added to the controller design procedure. Finally, some numerical examples are given to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 896-907 Issue: 5 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.627476 File-URL: http://hdl.handle.net/10.1080/00207721.2011.627476 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:5:p:896-907 Template-Type: ReDIF-Article 1.0 Author-Name: A. Baddou Author-X-Name-First: A. Author-X-Name-Last: Baddou Author-Name: H. Maarouf Author-X-Name-First: H. Author-X-Name-Last: Maarouf Author-Name: A. Benzaouia Author-X-Name-First: A. Author-X-Name-Last: Benzaouia Title: Partial eigenstructure assignment problem and its application to the constrained linear problem Abstract: This article presents a new partial eigenstructure assignment method. This technique keeps the open-loop stable eigenvalues and the corresponding eigenspace unchanged. The remaining undesirable eigenvalues are replaced by other chosen values. This methodology is easy and permits to overcome some limitations encountered in the previous methods. Furthermore, our method is applied to solve the constrained control problem for linear invariants continuous-time systems. Indeed, the problem of finding a stabilising regulator matrix gain taking into account the asymmetrical control constraints is transformed to a Sylvester equation resolution. Examples are given to illustrate the obtained results. Journal: International Journal of Systems Science Pages: 908-915 Issue: 5 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.649364 File-URL: http://hdl.handle.net/10.1080/00207721.2011.649364 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:5:p:908-915 Template-Type: ReDIF-Article 1.0 Author-Name: Quanjun Wu Author-X-Name-First: Quanjun Author-X-Name-Last: Wu Author-Name: Jin Zhou Author-X-Name-First: Jin Author-X-Name-Last: Zhou Author-Name: Hua Zhang Author-X-Name-First: Hua Author-X-Name-Last: Zhang Author-Name: Lan Xiang Author-X-Name-First: Lan Author-X-Name-Last: Xiang Title: Distributed δ-consensus in directed delayed networks of multi-agent systems Abstract: In this article, we propose a distributed δ-consensus protocol in directed networks of dynamic agents having communication delays. The δ-consensus protocol is an average consensus protocol where agents exchange the information with their neighbours at some discontinuous moments. We provide convergence analysis for such consensus algorithm under stochastic switching communication graphs, and then present some generic criteria for solving the average consensus problem. We also show that directed delayed networks of dynamic agents can achieve average consensus even when each agent in the networks intermittently exchanges the information with its neighbours only at some discrete moments. Subsequently, a typical numerical example illustrates and visualises the effectiveness and feasibility of the theoretical results. Journal: International Journal of Systems Science Pages: 916-925 Issue: 5 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.649365 File-URL: http://hdl.handle.net/10.1080/00207721.2011.649365 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:5:p:916-925 Template-Type: ReDIF-Article 1.0 Author-Name: Ling-Huey Su Author-X-Name-First: Ling-Huey Author-X-Name-Last: Su Author-Name: Ping-Shun Chen Author-X-Name-First: Ping-Shun Author-X-Name-Last: Chen Author-Name: Szu-Yin Chen Author-X-Name-First: Szu-Yin Author-X-Name-Last: Chen Title: Scheduling on parallel machines to minimise maximum lateness for the customer order problem Abstract: This article addresses the customer order problem where jobs are scheduled on a set of parallel machines and dispatched in batches. A machine can process only one job at a time, whereas multiple machines can simultaneously process jobs in a batch. The evaluation of the performance is minimisation of maximum lateness. The problem is designated as . Three heuristics, based on simple scheduling rules, for each problem are proposed and their tight worst case bounds are found. Computational experiments are also conducted to evaluate the effectiveness of the heuristics. Journal: International Journal of Systems Science Pages: 926-936 Issue: 5 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.649366 File-URL: http://hdl.handle.net/10.1080/00207721.2011.649366 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:5:p:926-936 Template-Type: ReDIF-Article 1.0 Author-Name: B.C. Giri Author-X-Name-First: B.C. Author-X-Name-Last: Giri Author-Name: T. Maiti Author-X-Name-First: T. Author-X-Name-Last: Maiti Title: Supply chain model with price- and trade credit-sensitive demand under two-level permissible delay in payments Abstract: This article develops a single-manufacturer and single-retailer supply chain model under two-level permissible delay in payments when the manufacturer follows a lot-for-lot policy in response to the retailer's demand. The manufacturer offers a trade credit period to the retailer with the contract that the retailer must share a fraction of the profit earned during the trade credit period. On the other hand, the retailer provides his customer a partial trade credit which is less than that of the manufacturer. The demand at the retailer is assumed to be dependent on the selling price and the trade credit period offered to the customers. The average net profit of the supply chain is derived and an algorithm for finding the optimal solution is developed. Numerical examples are given to demonstrate the coordination policy of the supply chain and examine the sensitivity of key model-parameters. Journal: International Journal of Systems Science Pages: 937-948 Issue: 5 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.649367 File-URL: http://hdl.handle.net/10.1080/00207721.2011.649367 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:5:p:937-948 Template-Type: ReDIF-Article 1.0 Author-Name: Yi-Kuei Lin Author-X-Name-First: Yi-Kuei Author-X-Name-Last: Lin Author-Name: Cheng-Ta Yeh Author-X-Name-First: Cheng-Ta Author-X-Name-Last: Yeh Title: Determine the optimal carrier selection for a logistics network based on multi-commodity reliability criterion Abstract: From the perspective of supply chain management, the selected carrier plays an important role in freight delivery. This article proposes a new criterion of multi-commodity reliability and optimises the carrier selection based on such a criterion for logistics networks with routes and nodes, over which multiple commodities are delivered. Carrier selection concerns the selection of exactly one carrier to deliver freight on each route. The capacity of each carrier has several available values associated with a probability distribution, since some of a carrier's capacity may be reserved for various orders. Therefore, the logistics network, given any carrier selection, is a multi-commodity multi-state logistics network. Multi-commodity reliability is defined as a probability that the logistics network can satisfy a customer's demand for various commodities, and is a performance indicator for freight delivery. To solve this problem, this study proposes an optimisation algorithm that integrates genetic algorithm, minimal paths and Recursive Sum of Disjoint Products. A practical example in which multi-sized LCD monitors are delivered from China to Germany is considered to illustrate the solution procedure. Journal: International Journal of Systems Science Pages: 949-965 Issue: 5 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.649368 File-URL: http://hdl.handle.net/10.1080/00207721.2011.649368 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:5:p:949-965 Template-Type: ReDIF-Article 1.0 Author-Name: Yanping Gao Author-X-Name-First: Yanping Author-X-Name-Last: Gao Author-Name: Min Zuo Author-X-Name-First: Min Author-X-Name-Last: Zuo Author-Name: Tongqiang Jiang Author-X-Name-First: Tongqiang Author-X-Name-Last: Jiang Author-Name: Junping Du Author-X-Name-First: Junping Author-X-Name-Last: Du Author-Name: Jingwei Ma Author-X-Name-First: Jingwei Author-X-Name-Last: Ma Title: Asynchronous consensus of multiple second-order agents with partial state information Abstract: This article studies the asynchronous consensus problem of multiple second-order agents in a sampled-data setting, where asynchrony means that the sampling period of each agent is independent of the others. It is assumed that each agent can only obtain the information of its positions relative to its neighbours at sampling instants. First, a discrete-time protocol is provided based on velocity estimation, and a sufficient and necessary condition for consensus under this protocol is established in virtue of properties of periodic systems. Second, a continuous-time protocol is presented by the theory of dynamic output feedback control, and a sufficient condition for consensus under this protocol is obtained by applying an input delay approach. Simulations are performed to illustrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 966-977 Issue: 5 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.651171 File-URL: http://hdl.handle.net/10.1080/00207721.2011.651171 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:5:p:966-977 Template-Type: ReDIF-Article 1.0 Author-Name: Ben Niu Author-X-Name-First: Ben Author-X-Name-Last: Niu Author-Name: Jun Zhao Author-X-Name-First: Jun Author-X-Name-Last: Zhao Title: Tracking control for output-constrained nonlinear switched systems with a barrier Lyapunov function Abstract: This article focuses on the tracking control problem for switched nonlinear systems in strict-feedback form subject to an output constraint. In order to prevent transgression of the constraint, a barrier Lyapunov function is employed, which grows to infinity when its arguments approach domain boundaries. Under the simultaneous domination assumption, a continuous controller for the switched system is constructed. Furthermore, asymptotic tracking is achieved without violation of the constraint, and all closed-loop signals keep bounded, when a mild requirement on the initial condition is satisfied. Finally, a simulation example is provided to illustrate the effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 978-985 Issue: 5 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.652222 File-URL: http://hdl.handle.net/10.1080/00207721.2011.652222 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:5:p:978-985 Template-Type: ReDIF-Article 1.0 Author-Name: Jinn-Tsair Teng Author-X-Name-First: Jinn-Tsair Author-X-Name-Last: Teng Author-Name: Leopoldo Cárdenas-Barrón Author-X-Name-First: Leopoldo Author-X-Name-Last: Cárdenas-Barrón Author-Name: Kuo-Ren Lou Author-X-Name-First: Kuo-Ren Author-X-Name-Last: Lou Author-Name: Hui Wee Author-X-Name-First: Hui Author-X-Name-Last: Wee Title: Optimal economic order quantity for buyer–distributor–vendor supply chain with backlogging derived without derivatives Abstract: In this article, we first complement an inappropriate mathematical error on the total cost in the previously published paper by Chung and Wee [2007, ‘Optimal the Economic Lot Size of a Three-stage Supply Chain With Backlogging Derived Without Derivatives’, European Journal of Operational Research, 183, 933–943] related to buyer–distributor–vendor three-stage supply chain with backlogging derived without derivatives. Then, an arithmetic–geometric inequality method is proposed not only to simplify the algebraic method of completing prefect squares, but also to complement their shortcomings. In addition, we provide a closed-form solution to integral number of deliveries for the distributor and the vendor without using complex derivatives. Furthermore, our method can solve many cases in which their method cannot, because they did not consider that a squared root of a negative number does not exist. Finally, we use some numerical examples to show that our proposed optimal solution is cheaper to operate than theirs. Journal: International Journal of Systems Science Pages: 986-994 Issue: 5 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.652226 File-URL: http://hdl.handle.net/10.1080/00207721.2011.652226 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:5:p:986-994 Template-Type: ReDIF-Article 1.0 Author-Name: Suresh Thenozhi Author-X-Name-First: Suresh Author-X-Name-Last: Thenozhi Author-Name: Yu Tang Author-X-Name-First: Yu Author-X-Name-Last: Tang Title: Learning-based frequency response function estimation for nonlinear systems Abstract: In this paper, we perform the nonlinear frequency response function (FRF) estimation for a class of nonlinear systems. Two non-parametric estimation techniques are considered: radial basis function neural network (RBF-NN)-based estimation and support vector machine (SVM)-based estimation. Based on the system's available observations, the proposed estimation models are used to predict its frequency response. Simulation results are provided to demonstrate the model implementation. Finally, a comparative study is carried out to evaluate the effectiveness of the RBF-NN and SVM schemes, which has demonstrated that the SVM outperformed RBF-NN in the FRF estimation. Journal: International Journal of Systems Science Pages: 2287-2297 Issue: 11 Volume: 49 Year: 2018 Month: 8 X-DOI: 10.1080/00207721.2018.1498555 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1498555 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:11:p:2287-2297 Template-Type: ReDIF-Article 1.0 Author-Name: Dong Liu Author-X-Name-First: Dong Author-X-Name-Last: Liu Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Model-free adaptive control design for nonlinear discrete-time processes with reinforcement learning techniques Abstract: This paper deals with the model-free adaptive control (MFAC) based on the reinforcement learning (RL) strategy for a family of discrete-time nonlinear processes. The controller is constructed based on the approximation ability of neural network architecture, a new actor-critic algorithm for neural network control problem is developed to estimate the strategic utility function and the performance index function. More specifically, the novel RL-based MFAC scheme is reasonable to design the controller without need to estimate y(k+1) information. Furthermore, based on Lyapunov stability analysis method, the closed-loop systems can be ensured uniformly ultimately bounded. Simulations are shown to validate the theoretical results. Journal: International Journal of Systems Science Pages: 2298-2308 Issue: 11 Volume: 49 Year: 2018 Month: 8 X-DOI: 10.1080/00207721.2018.1498557 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1498557 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:11:p:2298-2308 Template-Type: ReDIF-Article 1.0 Author-Name: Tian-Tian Guo Author-X-Name-First: Tian-Tian Author-X-Name-Last: Guo Author-Name: Xue-Jun Xie Author-X-Name-First: Xue-Jun Author-X-Name-Last: Xie Title: Disturbance attenuation via output feedback for nonlinear systems with input matching uncertainty Abstract: This paper studies the problem of output feedback disturbance attenuation for a class of nonlinear systems with input matching uncertainty, whose nonlinearities are bounded by unmeasured states multiplying unknown input and output polynomial functions. Combining the technique of dynamic gain and extended state observer, an adaptive output feedback controller is designed to guarantee that the states of the closed-loop system are globally bounded, and the disturbance attenuation is achieved in the $ L_2 $ L2-gain sense. Journal: International Journal of Systems Science Pages: 2309-2317 Issue: 11 Volume: 49 Year: 2018 Month: 8 X-DOI: 10.1080/00207721.2018.1498558 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1498558 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:11:p:2309-2317 Template-Type: ReDIF-Article 1.0 Author-Name: You Wu Author-X-Name-First: You Author-X-Name-Last: Wu Author-Name: Guo-ping Liu Author-X-Name-First: Guo-ping Author-X-Name-Last: Liu Title: Dual pipeline pressure synchronous-coordinated control with the assistance of the golden section control method Abstract: This paper addresses a pressure-coordinated control method for the dual pipeline system, with quicker stabilisation and smaller synchronisation error taken into consideration simultaneously. In this approach, a precise mathematical description of the plant is not required. The golden section control method according to online parameter estimation is applied for each branch pipeline pressure control; proportional, integral and derivative controller is used for the coordination between each branch system. The effectiveness and veracity of the proposed scheme are verified by simulations. Journal: International Journal of Systems Science Pages: 2318-2327 Issue: 11 Volume: 49 Year: 2018 Month: 8 X-DOI: 10.1080/00207721.2018.1498932 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1498932 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:11:p:2318-2327 Template-Type: ReDIF-Article 1.0 Author-Name: Han Gao Author-X-Name-First: Han Author-X-Name-Last: Gao Author-Name: Yueyong Lv Author-X-Name-First: Yueyong Author-X-Name-Last: Lv Author-Name: Sing Kiong Nguang Author-X-Name-First: Sing Kiong Author-X-Name-Last: Nguang Author-Name: Guangfu Ma Author-X-Name-First: Guangfu Author-X-Name-Last: Ma Title: Finite-time attitude quantised control for rigid spacecraft Abstract: This paper investigates the quantised finite-time attitude control for rigid spacecraft in the presence of external disturbance. First, a novel quantiser is designed with the combination and improvement of the traditional hysteresis logarithmic quantiser and hysteresis uniform quantiser, so that the innovative quantiser in this paper has the advantages of both hysteresis and uniform quantisers in ensuring chattering free and acceptable quantisation errors for better transient and steady-state performances. Second, a finite-time controller is synthesised even under disturbances and quantisation errors, and the closed-loop system/state converges to the region near zero in finite time. Finally, the attitude stabilisation and attitude tracking simulation results for the rigid spacecraft are presented to illustrate the effectiveness and feasibility of the proposed control strategy. Journal: International Journal of Systems Science Pages: 2328-2340 Issue: 11 Volume: 49 Year: 2018 Month: 8 X-DOI: 10.1080/00207721.2018.1501113 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1501113 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:11:p:2328-2340 Template-Type: ReDIF-Article 1.0 Author-Name: Yong Chen Author-X-Name-First: Yong Author-X-Name-Last: Chen Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Author-Name: Jun Shen Author-X-Name-First: Jun Author-X-Name-Last: Shen Author-Name: Baozhu Du Author-X-Name-First: Baozhu Author-X-Name-Last: Du Author-Name: Panshuo Li Author-X-Name-First: Panshuo Author-X-Name-Last: Li Title: Reachable set estimation for switched positive systems Abstract: This paper focuses on the problem of reachable set estimation for discrete-time switched positive systems under two possible classes of exogenous disturbance. The multiple linear copositive Lyapunov function approach is applied to determine the bounding hyper-pyramids for the reachable set. Based on some Lyapunov-based inequalities and the linear version of the S-procedure technique, the bounding hyper-pyramids for the reachable set can be determined by solving a set of inequalities. Two optimisation methods are adopted to make the bounding hyper-pyramids as small as possible. Genetic Algorithm (GA) is utilised to search for the optimal value of the decision variables in the obtained inequalities. Finally, numerical examples are given to illustrate the effectiveness of the theoretical findings. Journal: International Journal of Systems Science Pages: 2341-2352 Issue: 11 Volume: 49 Year: 2018 Month: 8 X-DOI: 10.1080/00207721.2018.1501518 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1501518 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:11:p:2341-2352 Template-Type: ReDIF-Article 1.0 Author-Name: Salim Kalla Author-X-Name-First: Salim Author-X-Name-Last: Kalla Author-Name: Riadh Hocine Author-X-Name-First: Riadh Author-X-Name-Last: Hocine Author-Name: Hamoudi Kalla Author-X-Name-First: Hamoudi Author-X-Name-Last: Kalla Author-Name: Abderrezak Chouki Author-X-Name-First: Abderrezak Author-X-Name-Last: Chouki Title: Graceful degradation for reducing jitter of battery life in fault-tolerant embedded systems Abstract: Tolerating faults and minimising energy consumption in embedded systems is a difficult task due to the fact that the two objectives are antagonistic. In this paper, we propose a new approach based on graceful degradation to reduce jitter of battery life and thereby energy consumption in fault-tolerant embedded systems. In case of faults, the affected task is re-executed. In our solution, the energy level of battery is periodically verified, and if we detect that the continuity with the current operating mode leads to jitter, the system gracefully degrades to the adequate operating mode. In such degraded mode, the dynamic voltage scaling technique is used to save energy. The effectiveness of using graceful degradation is depending on the application criticality level. Simulation results show that the use of graceful degradation can reduce jitter of battery life, and thereby can minimise energy consumption. Journal: International Journal of Systems Science Pages: 2353-2361 Issue: 11 Volume: 49 Year: 2018 Month: 8 X-DOI: 10.1080/00207721.2018.1501829 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1501829 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:11:p:2353-2361 Template-Type: ReDIF-Article 1.0 Author-Name: Farhad Bayat Author-X-Name-First: Farhad Author-X-Name-Last: Bayat Author-Name: Saleh Mobayen Author-X-Name-First: Saleh Author-X-Name-Last: Mobayen Author-Name: Taghi Hatami Author-X-Name-First: Taghi Author-X-Name-Last: Hatami Title: Composite nonlinear feedback design for discrete-time switching systems with disturbances and input saturation Abstract: This paper addresses the problem of robust controller design for a class of discrete-time switching systems with input saturation. To this aim, the composite nonlinear feedback method is extended to design a robust controller with improved performances in terms of the response speed and overshoot in the presence of disturbances and input saturation. The proposed approach is theoretically analysed and its closed-loop stability is proved. Then, the performance of the proposed method is verified using numerical simulations. Journal: International Journal of Systems Science Pages: 2362-2372 Issue: 11 Volume: 49 Year: 2018 Month: 8 X-DOI: 10.1080/00207721.2018.1501830 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1501830 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:11:p:2362-2372 Template-Type: ReDIF-Article 1.0 Author-Name: L. Susana Ramya Author-X-Name-First: L. Author-X-Name-Last: Susana Ramya Author-Name: R. Sakthivel Author-X-Name-First: R. Author-X-Name-Last: Sakthivel Author-Name: A. Leelamani Author-X-Name-First: A. Author-X-Name-Last: Leelamani Author-Name: P. Dhanalakshmi Author-X-Name-First: P. Author-X-Name-Last: Dhanalakshmi Author-Name: N. Sakthivel Author-X-Name-First: N. Author-X-Name-Last: Sakthivel Title: Output tracking control of switched nonlinear systems with multiple time-varying delays Abstract: In this paper, the output tracking control problem for a class of switched nonlinear systems with multiple time-varying delays is studied based on equivalent-input-disturbance (EID) approach. More precisely, with the use of suitable Lyapunov-Krasovskii functional together with average dwell-time technique, an output feedback tracking controller is designed which makes that the states of resulting system can asymptotically track the desired trajectory. Further, the EID estimator is implemented to reject both matched and unmatched disturbances effectively without requiring any prior knowledge of the disturbances. Simulation results are presented to illustrate the effectiveness and potential of the developed EID-based output tracking control design technique. The results reveal the fact that the tracking controller based on EID provides a better tracking performance than the feedback controller based on sliding mode technique. Journal: International Journal of Systems Science Pages: 2373-2384 Issue: 11 Volume: 49 Year: 2018 Month: 8 X-DOI: 10.1080/00207721.2018.1501831 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1501831 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:11:p:2373-2384 Template-Type: ReDIF-Article 1.0 Author-Name: Aliya Fahmi Author-X-Name-First: Aliya Author-X-Name-Last: Fahmi Author-Name: Fazli Amin Author-X-Name-First: Fazli Author-X-Name-Last: Amin Author-Name: Saleem Abdullah Author-X-Name-First: Saleem Author-X-Name-Last: Abdullah Author-Name: Asad Ali Author-X-Name-First: Asad Author-X-Name-Last: Ali Title: Cubic fuzzy Einstein aggregation operators and its application to decision-making Abstract: In this paper, we define some Einstein operations on cubic fuzzy set (CFS) and develop three arithmetic averaging operators, which are cubic fuzzy Einstein weighted averaging (CFEWA) operator, cubic fuzzy Einstein ordered weighted averaging (CFEOWA) operator and cubic fuzzy Einstein hybrid weighted averaging (CFEHWA) operator, for aggregating cubic fuzzy data. The CFEHWA operator generalises both the CFEWA and CFEOWA operators. Furthermore, we develop various properties of these operators and derive the relationship between the proposed operators and the exiting aggregation operators. We apply CFEHWA operator to multiple attribute decision-making with cubic fuzzy data. Finally, a numerical example is constructed to demonstrate the established approach. Journal: International Journal of Systems Science Pages: 2385-2397 Issue: 11 Volume: 49 Year: 2018 Month: 8 X-DOI: 10.1080/00207721.2018.1503356 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1503356 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:11:p:2385-2397 Template-Type: ReDIF-Article 1.0 Author-Name: Gloria Osorio-Gordillo Author-X-Name-First: Gloria Author-X-Name-Last: Osorio-Gordillo Author-Name: Carlos Astorga-Zaragoza Author-X-Name-First: Carlos Author-X-Name-Last: Astorga-Zaragoza Author-Name: Abraham Pérez Estrada Author-X-Name-First: Abraham Author-X-Name-Last: Pérez Estrada Author-Name: Rodolfo Vargas-Méndez Author-X-Name-First: Rodolfo Author-X-Name-Last: Vargas-Méndez Author-Name: Mohamed Darouach Author-X-Name-First: Mohamed Author-X-Name-Last: Darouach Author-Name: Latifa Boutat-Baddas Author-X-Name-First: Latifa Author-X-Name-Last: Boutat-Baddas Title: Fault estimation for descriptor linear systems based on the generalised dynamic observer Abstract: An observer-based method for actuator fault estimation for descriptor systems is presented. An innovative generalised dynamic observer for descriptor systems is synthesised to perform a convergent estimation of actuator faults. The main advantage of this observer is that it can be configured as a simple proportional observer or a proportional-integral observer, depending on the design specifications. An algorithm is provided to compute the observer gains, which are deduced from the stability analysis. Actuator faults occurring in a heat exchanger modelled in descriptor form are estimated in order to evaluate the capabilities of the observer. Journal: International Journal of Systems Science Pages: 2398-2409 Issue: 11 Volume: 49 Year: 2018 Month: 8 X-DOI: 10.1080/00207721.2018.1503357 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1503357 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:11:p:2398-2409 Template-Type: ReDIF-Article 1.0 Author-Name: Tao Li Author-X-Name-First: Tao Author-X-Name-Last: Li Author-Name: Hui Zhao Author-X-Name-First: Hui Author-X-Name-Last: Zhao Author-Name: Yu Chang Author-X-Name-First: Yu Author-X-Name-Last: Chang Title: Visual servoing tracking control of uncalibrated manipulators with a moving feature point Abstract: The paper is concerned with the problem of uncalibrated visual servoing robots tracking a dynamic feature point along with the desired trajectory. A nonlinear observer and a nonlinear controller are proposed, which allow the considered uncalibrated visual servoing robotic system to fulfil the desired tracking task. Based on this novel control method, a dynamic feature point with unknown motion parameters can be tracked effectively along with the desired trajectory, even with multiple uncertainties existing in the camera, the kinematics and the manipulator dynamics. By the Lyapunov theory, asymptotic convergence of the image errors to zero with the proposed control scheme is rigorously proven. Simulations have been conducted to verify the performance of the proposed control scheme. The results demonstrated good convergence of the image errors. Journal: International Journal of Systems Science Pages: 2410-2426 Issue: 11 Volume: 49 Year: 2018 Month: 8 X-DOI: 10.1080/00207721.2018.1504138 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1504138 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:11:p:2410-2426 Template-Type: ReDIF-Article 1.0 Author-Name: Behrooz Rahmani Author-X-Name-First: Behrooz Author-X-Name-Last: Rahmani Title: Robust discrete-time sliding mode control for tracking and model following of uncertain nonlinear systems Abstract: This paper proposes a discrete-time controller for robust tracking and model following of a class of nonlinear, multi-input multi-output, systems. For this purpose, a discrete-time sliding mode controller (DTSMC) is used to ensure the stability, robustness and an output tracking against the modelling uncertainties, even at relatively large sampling periods. In this way, Takagi–Sugeno (T–S) fuzzy modelling is used to decompose the nonlinear system to a set fuzzy-blended locally linearised subsystems. Implementation of the second Lyapunov theory for mismatched uncertain nonlinear T–S fuzzy models results in a set of linear matrix inequalities, which is used to design the sliding surface. A new method is then proposed to reach the quasi-sliding mode and stay thereafter. Simulation studies show that the proposed method guarantees the stability of closed-loop system and achieves small tracking error in the presence of parametric uncertainties at large sampling periods. Journal: International Journal of Systems Science Pages: 2427-2441 Issue: 11 Volume: 49 Year: 2018 Month: 8 X-DOI: 10.1080/00207721.2018.1504139 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1504139 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:11:p:2427-2441 Template-Type: ReDIF-Article 1.0 Author-Name: Magdi Sadek Mahmoud Author-X-Name-First: Magdi Sadek Author-X-Name-Last: Mahmoud Author-Name: Mojeed O. Oyedeji Author-X-Name-First: Mojeed O. Author-X-Name-Last: Oyedeji Title: Continuous-time multi-model predictive control of variable-speed variable-pitch wind turbines Abstract: The control objective for wind turbine control systems includes maximum power tracking, speed and power regulation and minimisation of mechanical loads. The operating region of a wind turbine is a function of the incoming wind speed and the control objective in each operating region differ significantly from the other. Therefore, a linear controller designed based on a model obtained at one operating point cannot guarantee stability and satisfactory performance across the whole operating regime of the turbine. In this paper, a continuous-time multi-model predictive controller is proposed for variable-speed variable-pitch wind turbine systems. Four controllers were designed using linearised models obtained at 4, 8, 11 and $ 18\,{\rm m\,s}^{-1} $ 18ms−1. A Bayesian probability inference function was used to make the transition between these controllers based on the errors between the system outputs and each operating point. Simulation studies based on a benchmark 5 MW wind turbine were used to demonstrate the performance of the proposed controller. Journal: International Journal of Systems Science Pages: 2442-2453 Issue: 11 Volume: 49 Year: 2018 Month: 8 X-DOI: 10.1080/00207721.2018.1505001 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1505001 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:11:p:2442-2453 Template-Type: ReDIF-Article 1.0 Author-Name: Gholamreza Hesamian Author-X-Name-First: Gholamreza Author-X-Name-Last: Hesamian Author-Name: Mohamad Ghasem Akbari Author-X-Name-First: Mohamad Ghasem Author-X-Name-Last: Akbari Title: Fuzzy absolute error distance measure based on a generalised difference operation Abstract: The main goal of this paper is to introduce a notion of fuzzy absolute error distance measure between two fuzzy numbers. For this purpose, a notion of generalised difference operation between two fuzzy numbers and absolute value of a fuzzy number was first introduced. The proposed methods were conducted on the basis of α-values of fuzzy numbers. Main properties of the proposed fuzzy distance measure was also verified in the space of fuzzy numbers. The proposed fuzzy distance measure evaluates the fuzzy distance between the two fuzzy numbers as a fuzzy number. Notably, the main advantage of such generalised difference operation is that it always exists. Therefore, it improves the shortcoming of a well-known generalised difference operation called Hakuhara difference. Some of the main properties of the proposed fuzzy absolute error distance measure including robustness were also studied in the space of fuzzy numbers. Several fuzzy distance measures, especially fuzzy absolute error distance, have been proposed so far. However, none of them save all reasonable properties required for an absolute error distance measure in fuzzy environment. Shortcomings relevant to other methods and advantages of the proposed method were also discussed. Journal: International Journal of Systems Science Pages: 2454-2462 Issue: 11 Volume: 49 Year: 2018 Month: 8 X-DOI: 10.1080/00207721.2018.1505002 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1505002 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:11:p:2454-2462 Template-Type: ReDIF-Article 1.0 Author-Name: Qingquan Liu Author-X-Name-First: Qingquan Author-X-Name-Last: Liu Author-Name: Rui Ding Author-X-Name-First: Rui Author-X-Name-Last: Ding Title: Observability and stabilisability of networked control systems with limited data rates Abstract: This paper investigates the observability and stabilisability problem for linear time-invariant systems, where sensors and controllers are geographically separated and connected by a stationary memoryless digital communication channel. The limited information of the plant state is transmitted over such a channel to the controller. We focus on explaining the effect imposed by limited data rates. A new quantisation, coding and control scheme is presented to minimise the required data rate for observability and stabilisability. Different from prior research, our study shows that, the required data rate is determined by the state prediction error. Namely, the smaller prediction error requires the smaller codeword length, which leads to the smaller data rate. It is shown that, there exists a lower bound on the average data rate above which the system is observable and stabilisable. Illustrative examples are given to demonstrate the effectiveness of the proposed quantisation, coding and control scheme. Journal: International Journal of Systems Science Pages: 2463-2476 Issue: 11 Volume: 49 Year: 2018 Month: 8 X-DOI: 10.1080/00207721.2018.1505003 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1505003 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:11:p:2463-2476 Template-Type: ReDIF-Article 1.0 Author-Name: Zun Liu Author-X-Name-First: Zun Author-X-Name-Last: Liu Author-Name: Honghai Ji Author-X-Name-First: Honghai Author-X-Name-Last: Ji Author-Name: Hailong Pei Author-X-Name-First: Hailong Author-X-Name-Last: Pei Author-Name: Frank L. Lewis Author-X-Name-First: Frank L. Author-X-Name-Last: Lewis Title: A new information-weighted recursive algorithm for time-varying systems: application to UAV system identification Abstract: This paper presents a new recursive identification method which can efficiently estimate time-varying parameters in discrete time systems and has significant advantages over standard recursive least-squares (RLS) method. This new information-weighted recursive algorithm for time-varying systems has three novel features, discounting of inaccurate estimates through weighting by the Information matrix, using the reuse of past data in computing current parameter estimates, a new tuneable damping factor parameter and a precisely designed compensation term to neutralise the estimation error caused by time-varying coefficients. A rigorous proof of convergence is also provided. Simulations show that the new algorithm significantly outperforms standard RLS, exhibiting better tracking performance and faster convergence. Flight tests on a T-REX 800 helicopter Unmanned Aerial Vehicle platform show that it gives system parameter estimates that are accurate enough and converge quickly enough that flight controllers can be designed in real-time based on the online identified model. Journal: International Journal of Systems Science Pages: 2477-2489 Issue: 11 Volume: 49 Year: 2018 Month: 8 X-DOI: 10.1080/00207721.2018.1505004 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1505004 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:11:p:2477-2489 Template-Type: ReDIF-Article 1.0 Author-Name: Yongkun Li Author-X-Name-First: Yongkun Author-X-Name-Last: Li Author-Name: Xiaofang Meng Author-X-Name-First: Xiaofang Author-X-Name-Last: Meng Title: Almost periodic solutions for quaternion-valued shunting inhibitory cellular neural networks of neutral type with time delays in the leakage term Abstract: In this paper, we propose a class of quaternion-valued shunting inhibitory cellular neural networks of neutral type with time delays in the leakage term. In order to overcome the difficulty of the non-commutativity of quaternion multiplication, we first decompose the system under consideration into four real-valued systems. Then by using the exponential dichotomy theory of linear differential equations and Banach's fixed point theorem, we establish sufficient conditions to ensure the existence and global exponential stability of almost periodic solutions for this class of neural networks. Finally, a numerical example is given to demonstrate the effectiveness of the obtained result. Journal: International Journal of Systems Science Pages: 2490-2505 Issue: 11 Volume: 49 Year: 2018 Month: 8 X-DOI: 10.1080/00207721.2018.1505006 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1505006 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:11:p:2490-2505 Template-Type: ReDIF-Article 1.0 Author-Name: K.L. Choy Author-X-Name-First: K.L. Author-X-Name-Last: Choy Author-Name: George T.S. Ho Author-X-Name-First: George T.S. Author-X-Name-Last: Ho Author-Name: S.C. Lenny Koh Author-X-Name-First: S.C. Lenny Author-X-Name-Last: Koh Title: Computational and systematic approaches in enhancing supply chain performance Journal: International Journal of Systems Science Pages: 1253-1254 Issue: 6 Volume: 45 Year: 2014 Month: 6 X-DOI: 10.1080/00207721.2012.761450 File-URL: http://hdl.handle.net/10.1080/00207721.2012.761450 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:6:p:1253-1254 Template-Type: ReDIF-Article 1.0 Author-Name: Yu-Chung Tsao Author-X-Name-First: Yu-Chung Author-X-Name-Last: Tsao Author-Name: Wei-Guang Teng Author-X-Name-First: Wei-Guang Author-X-Name-Last: Teng Author-Name: Ruey-Shii Chen Author-X-Name-First: Ruey-Shii Author-X-Name-Last: Chen Author-Name: Wang-Ying Chou Author-X-Name-First: Wang-Ying Author-X-Name-Last: Chou Title: Pricing and inventory policies for Hi-tech products under replacement warranty Abstract: Companies, especially in the Hi-tech (high-technology) industry (such as computer, communication and consumer electronic products), often provide a replacement warranty period for purchased items. In reality, simultaneously determining the price and inventory decisions under warranty policy is an important issue. The objective of this paper is to develop a joint pricing and inventory model for Hi-tech products under replacement warranty policy. In the first model, we consider a Hi-tech product feature in which the selling price is declining in a trend. We determine the optimal inventory level for each period and retail price for the first period while maximising the total profit. In the second model, we further determine the optimal retail price and inventory level for each period in the dynamic demand market. This study develops solution approaches to solve the problems described above. Numerical analysis discusses the influence of system parameters on the company's decisions and behaviours. The results of this study could serve as a reference for business managers or administrators. Journal: International Journal of Systems Science Pages: 1255-1267 Issue: 6 Volume: 45 Year: 2014 Month: 6 X-DOI: 10.1080/00207721.2012.761454 File-URL: http://hdl.handle.net/10.1080/00207721.2012.761454 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:6:p:1255-1267 Template-Type: ReDIF-Article 1.0 Author-Name: Federica Cucchiella Author-X-Name-First: Federica Author-X-Name-Last: Cucchiella Author-Name: Idiano D’Adamo Author-X-Name-First: Idiano Author-X-Name-Last: D’Adamo Author-Name: Massimo Gastaldi Author-X-Name-First: Massimo Author-X-Name-Last: Gastaldi Author-Name: S.C. Lenny Koh Author-X-Name-First: S.C. Lenny Author-X-Name-Last: Koh Title: Implementation of a real option in a sustainable supply chain: an empirical study of alkaline battery recycling Abstract: Green supply chain management (GSCM) has emerged as a key approach for enterprises seeking to become environmentally sustainable. This paper aims to evaluate and describe the advantages of a GSCM approach by analysing practices and performance consequences in the battery recycling sector. It seeks to integrate works in supply chain management (SCM), environmental management, performance management and real option (RO) theory into one framework. In particular, life cycle assessment (LCA) is applied to evaluate the environmental impact of a battery recycling plant project, and life cycle costing (LCC) is applied to evaluate its economic impact. Firms, also understanding the relevance of GSCM, have often avoided applying the green principles because of the elevated costs that such management involved. Such costs could also seem superior to the potential advantages since standard performance measurement systems are internally and business focused; for these reasons, we consider all the possible value deriving also by uncertainty associated to a green project using the RO theory. This work is one of the few and pioneering efforts to investigate GSCM practices in the battery recycling sector. Journal: International Journal of Systems Science Pages: 1268-1282 Issue: 6 Volume: 45 Year: 2014 Month: 6 X-DOI: 10.1080/00207721.2012.761458 File-URL: http://hdl.handle.net/10.1080/00207721.2012.761458 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:6:p:1268-1282 Template-Type: ReDIF-Article 1.0 Author-Name: Cathy H.Y. Lam Author-X-Name-First: Cathy H.Y. Author-X-Name-Last: Lam Author-Name: K.L. Choy Author-X-Name-First: K.L. Author-X-Name-Last: Choy Author-Name: G.T.S. Ho Author-X-Name-First: G.T.S. Author-X-Name-Last: Ho Author-Name: C.K.M. Lee Author-X-Name-First: C.K.M. Author-X-Name-Last: Lee Title: An order-picking operations system for managing the batching activities in a warehouse Abstract: Nowadays, customer orders with high product variety in small quantities are often received and requested for timely delivery. However, the order-picking process is a labour-intensive and costly activity to handle those small orders separately. In such cases, small orders are often grouped into batches so that two or more orders can be served at once to increase the picking efficiency and thus reduce the travel distance. In this paper, an order-picking operations system (OPOS) is proposed to assist the formulation of an order-picking plan and batch-handling sequence. The study integrates a mathematical model and fuzzy logic technique to divide the receiving orders into batches and prioritise the batch-handling sequence for picking, respectively. Through the proposed system, the order-picking process can be managed as batches with common picking locations to minimise the travel distance, and the batch-picking sequence can be determined as well. To demonstrate the use of the system, a case study in a third-party logistics warehouse is presented, and the result shows that both the order-picking activity and labour utilisation can be better organised. Journal: International Journal of Systems Science Pages: 1283-1295 Issue: 6 Volume: 45 Year: 2014 Month: 6 X-DOI: 10.1080/00207721.2012.761461 File-URL: http://hdl.handle.net/10.1080/00207721.2012.761461 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:6:p:1283-1295 Template-Type: ReDIF-Article 1.0 Author-Name: Daniel Y. Mo Author-X-Name-First: Daniel Y. Author-X-Name-Last: Mo Author-Name: Mitchell M. Tseng Author-X-Name-First: Mitchell M. Author-X-Name-Last: Tseng Author-Name: Raymond K. Cheung Author-X-Name-First: Raymond K. Author-X-Name-Last: Cheung Title: Design of inventory pools in spare part support operation systems Abstract: The objective of a spare part support operation is to fulfill the part request order with different service contracts in the agreed response time. With this objective to achieve different service targets for multiple service contracts and the considerations of inventory investment, it is not only important to determine the inventory policy but also to design the structure of inventory pools and the order fulfilment strategies. In this research, we focused on two types of inventory pools: multiple inventory pool (MIP) and consolidated inventory pool (CIP). The idea of MIP is to maintain separated inventory pools based on the types of service contract, while CIP solely maintains a single inventory pool regardless of service contract. Our research aims to design the inventory pool analytically and propose reserve strategies to manage the order fulfilment risks in CIP. Mathematical models and simulation experiments would be applied for analysis and evaluation. Journal: International Journal of Systems Science Pages: 1296-1305 Issue: 6 Volume: 45 Year: 2014 Month: 6 X-DOI: 10.1080/00207721.2012.761466 File-URL: http://hdl.handle.net/10.1080/00207721.2012.761466 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:6:p:1296-1305 Template-Type: ReDIF-Article 1.0 Author-Name: David W.C. Wong Author-X-Name-First: David W.C. Author-X-Name-Last: Wong Author-Name: K.L. Choy Author-X-Name-First: K.L. Author-X-Name-Last: Choy Author-Name: Harry K.H. Chow Author-X-Name-First: Harry K.H. Author-X-Name-Last: Chow Author-Name: Canhong Lin Author-X-Name-First: Canhong Author-X-Name-Last: Lin Title: Assessing a cross-border logistics policy using a performance measurement system framework: the case of Hong Kong and the Pearl River Delta region Abstract: For the most rapidly growing economic entity in the world, China, a new logistics operation called the indirect cross-border supply chain model has recently emerged. The primary idea of this model is to reduce logistics costs by storing goods at a bonded warehouse with low storage cost in certain Chinese regions, such as the Pearl River Delta (PRD). This research proposes a performance measurement system (PMS) framework to assess the direct and indirect cross-border supply chain models. The PMS covers four categories including cost, time, quality and flexibility in the assessment of the performance of direct and indirect models. Furthermore, a survey was conducted to investigate the logistics performance of third party logistics (3PLs) at the PRD regions, including Guangzhou, Shenzhen and Hong Kong. The significance of the proposed PMS framework allows 3PLs accurately pinpoint the weakness and strengths of it current operations policy at four major performance measurement categories. Hence, this helps 3PLs further enhance the competitiveness and operations efficiency through better resources allocation at the area of warehousing and transportation. Journal: International Journal of Systems Science Pages: 1306-1320 Issue: 6 Volume: 45 Year: 2014 Month: 6 X-DOI: 10.1080/00207721.2012.761468 File-URL: http://hdl.handle.net/10.1080/00207721.2012.761468 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:6:p:1306-1320 Template-Type: ReDIF-Article 1.0 Author-Name: Ivan K.W. Lai Author-X-Name-First: Ivan K.W. Author-X-Name-Last: Lai Author-Name: Donny C.F. Lai Author-X-Name-First: Donny C.F. Author-X-Name-Last: Lai Title: User acceptance of mobile commerce: an empirical study in Macau Abstract: This study aims to examine the positive and negative factors that can significantly explain user acceptance of mobile commerce (m-commerce) in Macau. A technology acceptance model for m-commerce with five factors is constructed. The proposed model is tested using data collected from 219 respondents. Confirmatory factor analysis is performed to examine the reliability and validity of the model, and structural equation modelling is performed to access the relationship between behaviour intention and each factor. The acceptance of m-commerce is influenced by factors including performance expectancy, social influence, facilitating conditions and privacy concern; while effort expectancy is insignificant in this case. The results of the study are useful for m-commerce service providers to adjust their strategies for promoting m-commerce services. This study contributes to the practice by providing a user technology acceptance model for m-commerce that can be used as a foundation for future research. Journal: International Journal of Systems Science Pages: 1321-1331 Issue: 6 Volume: 45 Year: 2014 Month: 6 X-DOI: 10.1080/00207721.2012.761471 File-URL: http://hdl.handle.net/10.1080/00207721.2012.761471 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:6:p:1321-1331 Template-Type: ReDIF-Article 1.0 Author-Name: Maryam Moayedi Author-X-Name-First: Maryam Author-X-Name-Last: Moayedi Author-Name: Yung Kuan Foo Author-X-Name-First: Yung Kuan Author-X-Name-Last: Foo Author-Name: Yeng Chai Soh Author-X-Name-First: Yeng Chai Author-X-Name-Last: Soh Title: Filtering for networked control systems with single/multiple measurement packets subject to multiple-step measurement delays and multiple packet dropouts Abstract: The minimum-variance filtering problem in networked control systems, where both random measurement transmission delays and packet dropouts may occur, is investigated in this article. Instead of following the many existing results that solve the problem by using probabilistic approaches based on the probabilities of the uncertainties occurring between the sensor and the filter, we propose a non-probabilistic approach by time-stamping the measurement packets. Both single-measurement and multiple measurement packets are studied. We also consider the case of burst arrivals, where more than one packet may arrive between the receiver's previous and current sampling times; the scenario where the control input is non-zero and subject to delays and packet dropouts is examined as well. It is shown that, in such a situation, the optimal state estimate would generally be dependent on the possible control input. Simulations are presented to demonstrate the performance of the various proposed filters. Journal: International Journal of Systems Science Pages: 335-348 Issue: 3 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903513335 File-URL: http://hdl.handle.net/10.1080/00207720903513335 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:3:p:335-348 Template-Type: ReDIF-Article 1.0 Author-Name: Wen-Jeng Liu Author-X-Name-First: Wen-Jeng Author-X-Name-Last: Liu Title: Design of decentralised variable structure observer for mismatched nonlinear uncertain large-scale systems Abstract: Although the state feedback approach is quite popular in control engineering, it cannot be used while the system states cannot be measured. The state observer approach may be used to overcome such a shortcoming. Also, most control systems have become larger and more complicated; therefore, based on the variable structure control theory, a new decentralised variable structure observer (DVSO) for a class of nonlinear large-scale systems with mismatched uncertainties will be considered in this article. The switching surface function is determined such that the equivalent system will have the desired behaviour once the system reaches the switching surface. And then a new DVSO is designed such that the estimated states will approach the system states. Using the Lyapunov stability theory and using the generalised matrix inverse concept, the uncertain nonlinear error system trajectories can be driven onto the sliding manifold and then the existence of a sliding mode and the attractiveness to the sliding surface is ensured. With the proposed DVSO, the estimation errors asymptotically tend to zero if the matching condition is satisfied, and the effects of the mismatched parts can be uniformly ultimately bounded if the matching condition is not satisfied. Finally, a numerical example with a succession of computer simulations is given to demonstrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 349-357 Issue: 3 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903513343 File-URL: http://hdl.handle.net/10.1080/00207720903513343 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:3:p:349-357 Template-Type: ReDIF-Article 1.0 Author-Name: Yeguo Sun Author-X-Name-First: Yeguo Author-X-Name-Last: Sun Author-Name: Shiyin Qin Author-X-Name-First: Shiyin Author-X-Name-Last: Qin Title: Stability analysis and controller design for networked control systems with random time delay Abstract: This article deals with the problem of stabilisation for a class of networked control systems with random time delay via the state feedback control. The transmission delay is modelled as a Markov process, and the resulting closed-loop system is modelled as a Markovian jump linear system. Based on the Lyapunov stability theorem combined with linear matrix inequality (LMI) techniques, some new delay-dependent stochastic stability criteria for the system are derived. A switching state feedback controller that makes the closed-loop system stochastically stable is designed, which is obtained by solving some LMIs. Numerical simulation results illustrate the effectiveness of the method proposed in this article. Journal: International Journal of Systems Science Pages: 359-367 Issue: 3 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903513368 File-URL: http://hdl.handle.net/10.1080/00207720903513368 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:3:p:359-367 Template-Type: ReDIF-Article 1.0 Author-Name: Xiao-Ni Zhang Author-X-Name-First: Xiao-Ni Author-X-Name-Last: Zhang Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Delay-dependent state feedback control with small gain conditions in finite frequency domains Abstract: This article studies the problem of control synthesis via state feedback for linear continuous-time multi-delay systems with small gain conditions in finite frequency domains. Based on the projection lemma, a new partial multiplier expansion method is proposed to design state feedback controllers. The resulting sufficient conditions are given in terms of solutions to a set of linear matrix inequalities. Finally, the effectiveness of the proposed method is illustrated via a numerical design example. Journal: International Journal of Systems Science Pages: 369-375 Issue: 3 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903513376 File-URL: http://hdl.handle.net/10.1080/00207720903513376 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:3:p:369-375 Template-Type: ReDIF-Article 1.0 Author-Name: Shuhui Shi Author-X-Name-First: Shuhui Author-X-Name-Last: Shi Author-Name: Qingling Zhang Author-X-Name-First: Qingling Author-X-Name-Last: Zhang Author-Name: Zhonghu Yuan Author-X-Name-First: Zhonghu Author-X-Name-Last: Yuan Title: Exponential stability and -gain analysis for a class of faulty systems Abstract: This article is concerned with the exponential stability and L2-gain problems for a class of systems with failures. Possible failures of sensors, actuators and/or controllers are considered simultaneously. Inspired by a switching control scheme, we develop an idea that is turning the class of faulty systems into a switched system composed of stable and unstable subsystems. Based on an average dwell‐time method, an activation time ratio scheme between stable and unstable subsystems is derived. It is shown that, under the proposed scheme, the faulty systems ensure exponential stability as well as a desire weighted L2-gain performance level. A numerical example and a practical simulation example on the flight control system are given to illustrate the practicability of the proposed method. Journal: International Journal of Systems Science Pages: 377-387 Issue: 3 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903513384 File-URL: http://hdl.handle.net/10.1080/00207720903513384 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:3:p:377-387 Template-Type: ReDIF-Article 1.0 Author-Name: Shun-Xiang Wu Author-X-Name-First: Shun-Xiang Author-X-Name-Last: Wu Author-Name: De-Lin Luo Author-X-Name-First: De-Lin Author-X-Name-Last: Luo Author-Name: Zhi-Wen Zhou Author-X-Name-First: Zhi-Wen Author-X-Name-Last: Zhou Author-Name: Jian-Huai Cai Author-X-Name-First: Jian-Huai Author-X-Name-Last: Cai Author-Name: Yeu-Xiang Shi Author-X-Name-First: Yeu-Xiang Author-X-Name-Last: Shi Title: A kind of BP neural network algorithm based on grey interval Abstract: In order to improve the learning ability of a forward neural network, in this article, we incorporate the feedback back-propagation (FBBP) and grey system theory to consider the learning and training of a neural network new perspective. By reducing the input grey degree we optimise the input of the neural network to make it more rational for learning and training of neural networks. Simulation results verified the efficiency of the proposed algorithm by comparing its performance with that of FBBP and classic back-propagation (BP). The results showed that the proposed algorithm has the characteristics of fast training and strong ability of generalisation and it is an effective learning method. Journal: International Journal of Systems Science Pages: 389-396 Issue: 3 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903513582 File-URL: http://hdl.handle.net/10.1080/00207720903513582 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:3:p:389-396 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaofu Ji Author-X-Name-First: Xiaofu Author-X-Name-Last: Ji Author-Name: Taihui Liu Author-X-Name-First: Taihui Author-X-Name-Last: Liu Author-Name: Yukun Sun Author-X-Name-First: Yukun Author-X-Name-Last: Sun Author-Name: Hongye Su Author-X-Name-First: Hongye Author-X-Name-Last: Su Title: Stability analysis and controller synthesis for discrete linear time-delay systems with state saturation nonlinearities Abstract: The problem of global asymptotic stability analysis and controller synthesis for a class of discrete linear time-delay systems with state saturation nonlinearities is investigated. With the introduction of a free matrix whose infinity norm is less than or equal to 1, the state of discrete linear time-delay systems with state saturation is bounded by a convex hull, which makes it feasible to apply a suitable Lyapunov functional to obtain a sufficient condition for global asymptotic stability. It is also shown that this condition can be extended to controller synthesis and discrete time-delay systems with partial state saturation. The obtained results are expressed in terms of matrix inequalities that can be solved by the presented iterative linear matrix inequality approach. The effectiveness of these results is demonstrated by some numerical examples. Journal: International Journal of Systems Science Pages: 397-406 Issue: 3 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903572406 File-URL: http://hdl.handle.net/10.1080/00207720903572406 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:3:p:397-406 Template-Type: ReDIF-Article 1.0 Author-Name: Hua Wu Author-X-Name-First: Hua Author-X-Name-Last: Wu Author-Name: Shi-Yin Qin Author-X-Name-First: Shi-Yin Author-X-Name-Last: Qin Title: An approach to robot SLAM based on incremental appearance learning with omnidirectional vision Abstract: Localisation and mapping with an omnidirectional camera becomes more difficult as the landmark appearances change dramatically in the omnidirectional image. With conventional techniques, it is difficult to match the features of the landmark with the template. We present a novel robot simultaneous localisation and mapping (SLAM) algorithm with an omnidirectional camera, which uses incremental landmark appearance learning to provide posterior probability distribution for estimating the robot pose under a particle filtering framework. The major contribution of our work is to represent the posterior estimation of the robot pose by incremental probabilistic principal component analysis, which can be naturally incorporated into the particle filtering algorithm for robot SLAM. Moreover, the innovative method of this article allows the adoption of the severe distorted landmark appearances viewed with omnidirectional camera for robot SLAM. The experimental results demonstrate that the localisation error is less than 1 cm in an indoor environment using five landmarks, and the location of the landmark appearances can be estimated within 5 pixels deviation from the ground truth in the omnidirectional image at a fairly fast speed. Journal: International Journal of Systems Science Pages: 407-427 Issue: 3 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903572422 File-URL: http://hdl.handle.net/10.1080/00207720903572422 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:3:p:407-427 Template-Type: ReDIF-Article 1.0 Author-Name: S.L. Nie Author-X-Name-First: S.L. Author-X-Name-Last: Nie Author-Name: B. Hu Author-X-Name-First: B. Author-X-Name-Last: Hu Author-Name: Y.P. Li Author-X-Name-First: Y.P. Author-X-Name-Last: Li Author-Name: Z. Hu Author-X-Name-First: Z. Author-X-Name-Last: Hu Author-Name: G.H. Huang Author-X-Name-First: G.H. Author-X-Name-Last: Huang Title: Identification of filter management strategy in fluid power systems under uncertainty: an interval-fuzzy parameter integer nonlinear programming method Abstract: An interval-fuzzy integer nonlinear programming (IFINP) method is developed for the identification of filter allocation and replacement strategies in a fluid power system (FPS) under uncertainty. It can handle uncertainties expressed as interval-fuzzy values that exist in the left- and right-hand sides of constraints as well as in the objective function. The developed method is applied to a case of planning filter allocation and replacement strategies under uncertainty for a FPS with a single circuit. A piecewise linearisation approach is used to convert the nonlinear problem of FPS into a linear one. The generated fuzzy solutions will be used to analyse and interpret the multiple decision alternatives under various system conditions, and thus help decision-makers to make a compromise among the system contamination level, system cost, satisfaction degrees and system-failure risks under different contaminant ingression/generation rates. The results demonstrate that the suction and return filters can effectively reduce the contamination level associated with a low system cost, but the FPS will take lots of failure risk when the contaminant ingression/generation rate is high; and the combination of suction and pressure filters can bring the lowest system cost with more security instead. Furthermore, comparisons for the optimised solutions are made among IFINP, interval-parameter integer nonlinear programming and deterministic linear programming also. Generally, the IFINP method can effectively reduce the total design and operation cost of the filtration system when contaminants ingression/generation rate is high, and it could be extended to the lubricating system. Journal: International Journal of Systems Science Pages: 429-448 Issue: 3 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903572430 File-URL: http://hdl.handle.net/10.1080/00207720903572430 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:3:p:429-448 Template-Type: ReDIF-Article 1.0 Author-Name: Kaouther Ibn Taarit Author-X-Name-First: Kaouther Ibn Author-X-Name-Last: Taarit Author-Name: Lotfi Belkoura Author-X-Name-First: Lotfi Author-X-Name-Last: Belkoura Author-Name: Mekki Ksouri Author-X-Name-First: Mekki Author-X-Name-Last: Ksouri Author-Name: Jean-Pierre Richard Author-X-Name-First: Jean-Pierre Author-X-Name-Last: Richard Title: A fast identification algorithm for systems with delayed inputs Abstract: A fast identification algorithm is proposed for systems with delayed inputs. It is based on a non-asymptotic distributional estimation technique initiated in the framework of systems without delay. Such a technique leads to simple realisation schemes, involving integrators, multipliers and piecewise polynomial or exponential time functions. Thus, it allows for a real-time implementation. In order to introduce a generalisation to systems with input delay, three simple examples are presented here. The first illustration is a first-order model with delayed input and noise. Then, a second-order system driven through a transmission line is considered. A third example shows a possible link between simultaneous identification and generalised eigenvalue problems. Journal: International Journal of Systems Science Pages: 449-456 Issue: 3 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903572448 File-URL: http://hdl.handle.net/10.1080/00207720903572448 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:3:p:449-456 Template-Type: ReDIF-Article 1.0 Author-Name: Xiao-Zheng Jin Author-X-Name-First: Xiao-Zheng Author-X-Name-Last: Jin Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Distributed robust adaptive control for a class of dynamical complex networks against imperfect communications Abstract: In this article, a robust tracking control problem of a class of dynamical complex networks is presented through a distributed adaptive approach. Uncertain network topology with unknown coupling strength, delayed and perturbed communications and external disturbances are considered, while the bounds of channel noises and coupling delays and disturbances are assumed to be unknown. Adaptation laws are proposed to estimate the network coupling strength and the upper and lower bounds of communication state errors and disturbances on-line. Based on the information from adaptive schemes, a class of distributed robust adaptive controllers is constructed to automatically compensate for the imperfect network and disturbance effects. Then, according to the Lyapunov stability theory, it is shown that the achievement of tracking for complex networks is effective on imperfect communications and disturbances. The effectiveness of the proposed design is illustrated via a decoupled longitudinal model of an F-18 aircraft. Journal: International Journal of Systems Science Pages: 457-468 Issue: 3 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903572463 File-URL: http://hdl.handle.net/10.1080/00207720903572463 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:3:p:457-468 Template-Type: ReDIF-Article 1.0 Author-Name: Shey-Huei Sheu Author-X-Name-First: Shey-Huei Author-X-Name-Last: Sheu Author-Name: Chaun-Hung Chiu Author-X-Name-First: Chaun-Hung Author-X-Name-Last: Chiu Author-Name: Tsung-Shin Hsu Author-X-Name-First: Tsung-Shin Author-X-Name-Last: Hsu Title: An age replacement policy via the Bayesian method Abstract: This article aims to estimate the probability of item replacement on an age replacement policy. An item is replaced until time T, or until a first non-repairable catastrophic failure occurs – whichever comes first. Because the sample size is relatively small under the replacement policy, we use a Bayesian approach to estimate probability. A prior choice is undoubtedly closely related to the problem under consideration. Here, we consider the (Jeffreys (1961), Theory of Probability, Oxford: Clarendon Press) prior and the conjugate prior that are justified to some extent. We also derive some approximations of the posterior and discuss certain special cases. Our objective is to determine an optimal replacement policy in which the long-run average cost per unit time is minimised. We also assume that some catastrophic failures can be repaired. On the spectrum of long-run average costs per unit time, our cost is smaller than others. Here, we use numerical examples to illustrate some known models, and make some comparisons as well. Journal: International Journal of Systems Science Pages: 469-477 Issue: 3 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903576480 File-URL: http://hdl.handle.net/10.1080/00207720903576480 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:3:p:469-477 Template-Type: ReDIF-Article 1.0 Author-Name: Abdellah Benzaouia Author-X-Name-First: Abdellah Author-X-Name-Last: Benzaouia Author-Name: Abdelaziz Hmamed Author-X-Name-First: Abdelaziz Author-X-Name-Last: Hmamed Author-Name: Fernando Tadeo Author-X-Name-First: Fernando Author-X-Name-Last: Tadeo Author-Name: Ahmed EL Hajjaji Author-X-Name-First: Ahmed EL Author-X-Name-Last: Hajjaji Title: Stabilisation of discrete 2D time switching systems by state feedback control Abstract: This article deals with sufficient conditions of asymptotic stability for discrete two-dimensional (2D) time switching systems represented by a model of Roesser type with state feedback control. This class of systems can correspond to 2D state space or 2D time space switching systems. This work is based on common and multiple Lyapunov functions. The results are presented in LMI form. Two examples are given to illustrate the results. Journal: International Journal of Systems Science Pages: 479-487 Issue: 3 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903576522 File-URL: http://hdl.handle.net/10.1080/00207720903576522 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:3:p:479-487 Template-Type: ReDIF-Article 1.0 Author-Name: M. Narenji Author-X-Name-First: M. Author-X-Name-Last: Narenji Author-Name: S.M.T. Fatemi Ghomi Author-X-Name-First: S.M.T. Fatemi Author-X-Name-Last: Ghomi Author-Name: S.V.R. Nooraie Author-X-Name-First: S.V.R. Author-X-Name-Last: Nooraie Title: Grouping in decomposition method for multi-item capacitated lot-sizing problem with immediate lost sales and joint and item-dependent setup cost Abstract: This article examines a dynamic and discrete multi-item capacitated lot-sizing problem in a completely deterministic production or procurement environment with limited production/procurement capacity where lost sales (the loss of customer demand) are permitted. There is no inventory space capacity and the production activity incurs a fixed charge linear cost function. Similarly, the inventory holding cost and the cost of lost demand are both associated with a linear no-fixed charge function. For the sake of simplicity, a unit of each item is assumed to consume one unit of production/procurement capacity. We analyse a different version of setup costs incurred by a production or procurement activity in a given period of the planning horizon. In this version, called the joint and item-dependent setup cost, an additional item-dependent setup cost is incurred separately for each produced or ordered item on top of the joint setup cost. Journal: International Journal of Systems Science Pages: 489-498 Issue: 3 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903579013 File-URL: http://hdl.handle.net/10.1080/00207720903579013 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:3:p:489-498 Template-Type: ReDIF-Article 1.0 Author-Name: Young K. Yoo Author-X-Name-First: Young K. Author-X-Name-Last: Yoo Title: Operating characteristics of a failure counting group replacement policy Abstract: This article presents some operating characteristics of a failure counting group replacement policy. A group of identical units are put in service together. The maintenance policy applied for them is a group replacement policy based on failure count; they are replaced altogether when a number of failures reaches a certain amount. For the expected cost rate function under the failure counting group replacement policy, this article presents a method to obtain the optimum cost rate. We also show that the optimum cost rate is an increasing function in the fleet size. Numerical examples are presented to demonstrate the results. Journal: International Journal of Systems Science Pages: 499-506 Issue: 3 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903580813 File-URL: http://hdl.handle.net/10.1080/00207720903580813 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:3:p:499-506 Template-Type: ReDIF-Article 1.0 Author-Name: Jiabing Sun Author-X-Name-First: Jiabing Author-X-Name-Last: Sun Author-Name: Chengjin Zhang Author-X-Name-First: Chengjin Author-X-Name-Last: Zhang Author-Name: Bing Guo Author-X-Name-First: Bing Author-X-Name-Last: Guo Title: Distributed full-order optimal fusion filters and smoothers for discrete-time stochastic singular systems Abstract: The optimal fusion problem for the state estimation of discrete-time stochastic singular systems is considered. The key idea is to convert a stochastic singular system with multiple sensors and correlated noises into an equivalent group of non-singular systems. Based on the state estimation for each local non-singular system, the optimal full-order filters and smoothers with a three-layer fusion structure are obtained for the original system using the optimal weighted fusion algorithms in the linear minimum variance sense. A simulation example shows that the fusion estimator is better than each local one. Journal: International Journal of Systems Science Pages: 507-516 Issue: 3 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003611649 File-URL: http://hdl.handle.net/10.1080/00207721003611649 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:3:p:507-516 Template-Type: ReDIF-Article 1.0 Author-Name: Ping Li Author-X-Name-First: Ping Author-X-Name-Last: Li Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: A novel adaptive control approach for nonlinear strict-feedback systems using nonlinearly parameterised fuzzy approximators Abstract: In this article, the problem of output tracking of perturbed nonlinear strict-feedback systems is addressed and a novel adaptive fuzzy control scheme is proposed. The considered systems are with unknown nonlinearities, so an adaptive fuzzy approximation approach is embedded into a backstepping procedure to get the proposed controller. However, unlike the exiting results, approximators used in this article are not linearly parameterised. Using nonlinearly parameterised adaptive fuzzy approximators, the controller can be obtained without the restriction that fuzzy basis functions of the approximators must be well defined. By managing to adapt the norm of on-line parameter vectors in the control design, the computation burden is largely reduced. The proposed controller can guarantee the stability and desired tracking performance of the closed-loop system. An example is included to demonstrate the effectiveness of the control scheme. Journal: International Journal of Systems Science Pages: 517-527 Issue: 3 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003624576 File-URL: http://hdl.handle.net/10.1080/00207721003624576 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:3:p:517-527 Template-Type: ReDIF-Article 1.0 Author-Name: Bo Zhu Author-X-Name-First: Bo Author-X-Name-Last: Zhu Author-Name: Xinhua Wang Author-X-Name-First: Xinhua Author-X-Name-Last: Wang Author-Name: Kai-Yuan Cai Author-X-Name-First: Kai-Yuan Author-X-Name-Last: Cai Title: Output tracking for nonlinear non-minimum phase systems with output delay and application to an F-16 jet fighter Abstract: In this article, output tracking for a class of nonlinear non-minimum phase systems with output delay is considered. By applying the first-order Padé approximation technique to deal with the time-delay function, the original control problem is reduced to the output-tracking problem of a new non-minimum phase system without delay. The bounded tracking profiles of the unstable internal dynamics in the new system are generated by using the nonlinear inversion-based method, and a complete sliding mode control scheme is proposed to stabilise the output-tracking error as well as the internal dynamics. Moreover, the proposed control scheme is applied to solve the flight-path angle tracking problem of an F-16 jet fighter. Journal: International Journal of Systems Science Pages: 529-538 Issue: 3 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003653690 File-URL: http://hdl.handle.net/10.1080/00207721003653690 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:3:p:529-538 Template-Type: ReDIF-Article 1.0 Author-Name: Sung Hyun Kim Author-X-Name-First: Sung Hyun Author-X-Name-Last: Kim Title: Reliable piecewise control design for systems with actuator saturation and fault Abstract: This paper proposes a reliable piecewise control (RPC) law for input-saturated systems with norm-bounded external disturbances and faults, whose feature is that the following three goals can be simultaneously achieved: improving the disturbance attenuation performance, maximising the region of attraction, and totally removing the influence of the actuator fault. Here, the RPC law is developed to be dependent on several switching sets with the set invariance property, where the size of the most inner switching set is minimised and the size of the outer switching sets is maximised to fulfil the first two goals, respectively. Moreover, for the third goal, this paper introduces a norm-bounded representation method for the actuator fault and incorporates a variable structure control scheme into the RPC law. Journal: International Journal of Systems Science Pages: 385-393 Issue: 3 Volume: 46 Year: 2015 Month: 2 X-DOI: 10.1080/00207721.2013.783950 File-URL: http://hdl.handle.net/10.1080/00207721.2013.783950 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:3:p:385-393 Template-Type: ReDIF-Article 1.0 Author-Name: Behrooz Safarinejadian Author-X-Name-First: Behrooz Author-X-Name-Last: Safarinejadian Author-Name: Parisa Ghane Author-X-Name-First: Parisa Author-X-Name-Last: Ghane Author-Name: Hossein Monirvaghefi Author-X-Name-First: Hossein Author-X-Name-Last: Monirvaghefi Title: Fault detection in non-linear systems based on type-2 fuzzy logic Abstract: This paper presents a new method for fault detection (FD) based on interval type-2 fuzzy sets. The main idea is based on a confident span using interval type-2 fuzzy systems. An estimate for upper and lower bounds of output has been taken using the designing of an optimal fuzzy system through clustering. Finally the method has been tested in two non-linear systems, a two-tank with a fluid flow and pH neutralisation process, and it is compared with a well-known method named ANFIS. Furthermore, the mathematical model and the results of simulations prove the effectiveness, usefulness and applications of our new method. Journal: International Journal of Systems Science Pages: 394-404 Issue: 3 Volume: 46 Year: 2015 Month: 2 X-DOI: 10.1080/00207721.2013.784371 File-URL: http://hdl.handle.net/10.1080/00207721.2013.784371 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:3:p:394-404 Template-Type: ReDIF-Article 1.0 Author-Name: A.R. Fioravanti Author-X-Name-First: A.R. Author-X-Name-Last: Fioravanti Author-Name: A.P.C. Gonçalves Author-X-Name-First: A.P.C. Author-X-Name-Last: Gonçalves Author-Name: J.C. Geromel Author-X-Name-First: J.C. Author-X-Name-Last: Geromel Title: Optimal and mode-independent filters for generalised Bernoulli jump systems Abstract: This paper provides the optimal solution of the filtering design problem for a special class of discrete-time Markov jump linear systems whose transition probability matrix has identical rows. In the two-mode case, this is equivalent to saying that the random variable has a Bernoulli distribution. For that class of dynamic systems we design, with the help of new necessary and sufficient linear matrix inequality conditions, H2$\mathcal {H}_2$ and H∞$\mathcal {H}_\infty$ optimal mode-independent filters with the same order of the plant. As a first proposal available in the literature, for partial information characterised by cluster availability of the mode, we also show it is possible to design optimal full-order linear filters. If some plant matrices do not vary within the same cluster, we show that the optimal filter exhibits the internal model structure. We complete the results with illustrative examples. A realistic practical application considering sensors connected to a network using a communication protocol such as the Token Ring is included in order to put in evidence the usefulness of the theoretical results. Journal: International Journal of Systems Science Pages: 405-417 Issue: 3 Volume: 46 Year: 2015 Month: 2 X-DOI: 10.1080/00207721.2013.784373 File-URL: http://hdl.handle.net/10.1080/00207721.2013.784373 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:3:p:405-417 Template-Type: ReDIF-Article 1.0 Author-Name: Shahnoor Shanta Author-X-Name-First: Shahnoor Author-X-Name-Last: Shanta Author-Name: Visakan Kadirkamanathan Author-X-Name-First: Visakan Author-X-Name-Last: Kadirkamanathan Title: A bootstrap-based approach for parameter and polyspectral density estimation of a non-minimum phase ARMA process Abstract: A bootstrap-based methodology is developed for parameter estimation and polyspectral density estimation in the case of the approximating model of the underlying stochastic process being non-minimum phase autoregressive-moving-average (ARMA) type, given a finite realisation of a single time series data. The method is based on a minimum phase/maximum phase decomposition of the system function together with a time reversal step for the parameter and polyspectral confidence interval estimation. Simulation examples are provided to illustrate the proposed method. Journal: International Journal of Systems Science Pages: 418-428 Issue: 3 Volume: 46 Year: 2015 Month: 2 X-DOI: 10.1080/00207721.2013.784444 File-URL: http://hdl.handle.net/10.1080/00207721.2013.784444 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:3:p:418-428 Template-Type: ReDIF-Article 1.0 Author-Name: Boris Mirkin Author-X-Name-First: Boris Author-X-Name-Last: Mirkin Author-Name: Per-Olof Gutman Author-X-Name-First: Per-Olof Author-X-Name-Last: Gutman Title: Multivariable output feedback robust adaptive tracking control design for a class of delayed systems Abstract: In this paper, we develop a model reference adaptive control scheme for a class of multi-input multi-output nonlinearly perturbed dynamic systems with unknown time-varying state delays which is also robust with respect to an external disturbance with unknown bounds. The output feedback adaptive control scheme uses feedback actions only, and thus does not require a direct measurement of the command or disturbance signals. A suitable Lyapunov–Krasovskii type functional is introduced to design the adaptation algorithms and to prove stability. Journal: International Journal of Systems Science Pages: 429-437 Issue: 3 Volume: 46 Year: 2015 Month: 2 X-DOI: 10.1080/00207721.2013.784819 File-URL: http://hdl.handle.net/10.1080/00207721.2013.784819 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:3:p:429-437 Template-Type: ReDIF-Article 1.0 Author-Name: Ruey-Chyn Tsaur Author-X-Name-First: Ruey-Chyn Author-X-Name-Last: Tsaur Title: Fuzzy portfolio model with fuzzy-input return rates and fuzzy-output proportions Abstract: In the finance market, a short-term investment strategy is usually applied in portfolio selection in order to reduce investment risk; however, the economy is uncertain and the investment period is short. Further, an investor has incomplete information for selecting a portfolio with crisp proportions for each chosen security. In this paper we present a new method of constructing fuzzy portfolio model for the parameters of fuzzy-input return rates and fuzzy-output proportions, based on possibilistic mean–standard deviation models. Furthermore, we consider both excess or shortage of investment in different economic periods by using fuzzy constraint for the sum of the fuzzy proportions, and we also refer to risks of securities investment and vagueness of incomplete information during the period of depression economics for the portfolio selection. Finally, we present a numerical example of a portfolio selection problem to illustrate the proposed model and a sensitivity analysis is realised based on the results. Journal: International Journal of Systems Science Pages: 438-450 Issue: 3 Volume: 46 Year: 2015 Month: 2 X-DOI: 10.1080/00207721.2013.784820 File-URL: http://hdl.handle.net/10.1080/00207721.2013.784820 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:3:p:438-450 Template-Type: ReDIF-Article 1.0 Author-Name: Yaojin Xu Author-X-Name-First: Yaojin Author-X-Name-Last: Xu Author-Name: Yu-Ping Tian Author-X-Name-First: Yu-Ping Author-X-Name-Last: Tian Author-Name: YangQuan Chen Author-X-Name-First: YangQuan Author-X-Name-Last: Chen Title: Output consensus for multiple non-holonomic systems under directed communication topology Abstract: In this paper, the problem of output consensus for multiple non-holonomic systems in chained form has been investigated. First, an output consensus controller under the strongly connected communication topology is devised by two steps, where a time-varying control strategy and the backstepping design technique are employed. Then, the results are extended to the general directed topology case via graph decomposition, in which the input-to-state stability theory plays a critical role. We prove that the proposed controller can achieve the semi-global output consensus among multiple non-holonomic systems, provided that the interaction graph contains a spanning tree. Finally, numerical examples are provided to illustrate the effectiveness of the designed controller. Journal: International Journal of Systems Science Pages: 451-463 Issue: 3 Volume: 46 Year: 2015 Month: 2 X-DOI: 10.1080/00207721.2013.784821 File-URL: http://hdl.handle.net/10.1080/00207721.2013.784821 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:3:p:451-463 Template-Type: ReDIF-Article 1.0 Author-Name: Xi-Sheng Zhan Author-X-Name-First: Xi-Sheng Author-X-Name-Last: Zhan Author-Name: Zhi-Hong Guan Author-X-Name-First: Zhi-Hong Author-X-Name-Last: Guan Author-Name: Xian-He Zhang Author-X-Name-First: Xian-He Author-X-Name-Last: Zhang Author-Name: Fu-Shun Yuan Author-X-Name-First: Fu-Shun Author-X-Name-Last: Yuan Title: Optimal tracking performance of MIMO control systems with communication constraints and a code scheme Abstract: This paper investigates the issue of the optimal tracking performance for multiple-input multiple-output linear time-invariant continuous-time systems with power constrained. An H2 criterion of the error signal and the signal of the input channel are used as a measure for the tracking performance. A code scheme is introduced as a means of integrating controller and channel design to obtain the optimal tracking performance. It is shown that the optimal tracking performance index consists of two parts, one depends on the non-minimum phase zeros and zero direction of the given plant, as well as the reference input signal, while the other depends on the unstable poles and pole direction of the given plant, as well as on the bandwidth and additive white noise of a communication channel. It is also shown that when the communication does not exist, the optimal tracking performance reduces to the existing normal tracking performance of the control system. The results show how the optimal tracking performance is limited by the bandwidth and additive white noise of the communication channel. A typical example is given to illustrate the theoretical results. Journal: International Journal of Systems Science Pages: 464-473 Issue: 3 Volume: 46 Year: 2015 Month: 2 X-DOI: 10.1080/00207721.2013.784822 File-URL: http://hdl.handle.net/10.1080/00207721.2013.784822 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:3:p:464-473 Template-Type: ReDIF-Article 1.0 Author-Name: Amin Ramezanifar Author-X-Name-First: Amin Author-X-Name-Last: Ramezanifar Author-Name: Javad Mohammadpour Author-X-Name-First: Javad Author-X-Name-Last: Mohammadpour Author-Name: Karolos M. Grigoriadis Author-X-Name-First: Karolos M. Author-X-Name-Last: Grigoriadis Title: Sampled-data filtering for linear parameter varying systems Abstract: In this paper, we address the sampled-data filter design problem for continuous-time linear parameter-varying (LPV) systems. The filtering error system obtained from augmenting a continuous-time LPV system and the sampled-data filter is a hybrid system. The sampled-data filter design objective is to ensure the error system stability and a prescribed level of the induced energy-to-energy gain (or H∞$\mathcal {H}_\infty$ norm) from the disturbance input to the estimation error. To this purpose, we employ a lifting method to derive an equivalent discrete-time LPV representation for the continuous-time LPV system. In the present study, the sampled-data filter synthesis conditions are formulated in terms of linear matrix inequality optimisation problems. The viability of the proposed design method to cope with variable sampling rates is illustrated through numerical examples, where reliable estimation of the LPV system outputs is achieved. Journal: International Journal of Systems Science Pages: 474-487 Issue: 3 Volume: 46 Year: 2015 Month: 2 X-DOI: 10.1080/00207721.2013.786156 File-URL: http://hdl.handle.net/10.1080/00207721.2013.786156 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:3:p:474-487 Template-Type: ReDIF-Article 1.0 Author-Name: Majdi Mafarja Author-X-Name-First: Majdi Author-X-Name-Last: Mafarja Author-Name: Salwani Abdullah Author-X-Name-First: Salwani Author-X-Name-Last: Abdullah Title: A fuzzy record-to-record travel algorithm for solving rough set attribute reduction Abstract: Attribute reduction can be defined as the process of determining a minimal subset of attributes from an original set of attributes. This paper proposes a new attribute reduction method that is based on a record-to-record travel algorithm for solving rough set attribute reduction problems. This algorithm has a solitary parameter called the DEVIATION, which plays a pivotal role in controlling the acceptance of the worse solutions, after it becomes pre-tuned. In this paper, we focus on a fuzzy-based record-to-record travel algorithm for attribute reduction (FuzzyRRTAR). This algorithm employs an intelligent fuzzy logic controller mechanism to control the value of DEVIATION, which is dynamically changed throughout the search process. The proposed method was tested on standard benchmark data sets. The results show that FuzzyRRTAR is efficient in solving attribute reduction problems when compared with other meta-heuristic approaches. Journal: International Journal of Systems Science Pages: 503-512 Issue: 3 Volume: 46 Year: 2015 Month: 2 X-DOI: 10.1080/00207721.2013.791000 File-URL: http://hdl.handle.net/10.1080/00207721.2013.791000 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:3:p:503-512 Template-Type: ReDIF-Article 1.0 Author-Name: Subhashis Chatterjee Author-X-Name-First: Subhashis Author-X-Name-Last: Chatterjee Author-Name: Jeetendra B. Singh Author-X-Name-First: Jeetendra B. Author-X-Name-Last: Singh Author-Name: Arunava Roy Author-X-Name-First: Arunava Author-X-Name-Last: Roy Title: A structure-based software reliability allocation using fuzzy analytic hierarchy process Abstract: During the design phase of a software, it is often required to evaluate the reliability of the software system. At this stage of development, one crucial question arises ‘how to achieve a target reliability of the software?’ Reliability allocation methods can be used to set reliability goals for individual components. In this paper, a software reliability allocation model has been proposed incorporating the user view point about various functions of a software. Proposed reliability allocation method attempts to answer the question ‘how reliable should the system components be?' The proposed model will be useful for determining the reliability goal at the planning and design phase of a software project, hence making reliability a singular measure for performance evaluation. Proposed model requires a systematic formulation of user requirements and preference into the technical design and reliability of the software. To accomplish this task, a system hierarchy has been established, which combines the user’s view of the system with that of the software manager and the programmer. Fuzzy analytic hierarchy process (FAHP) has been used to derive the required model parameters from the hierarchy. Sensitivity analysis has also been carried out in this paper. Finally, an example has been given to illustrate the effectiveness and feasibility of the proposed method. Journal: International Journal of Systems Science Pages: 513-525 Issue: 3 Volume: 46 Year: 2015 Month: 2 X-DOI: 10.1080/00207721.2013.791001 File-URL: http://hdl.handle.net/10.1080/00207721.2013.791001 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:3:p:513-525 Template-Type: ReDIF-Article 1.0 Author-Name: Dragan D. Stamenkovic Author-X-Name-First: Dragan D. Author-X-Name-Last: Stamenkovic Author-Name: Vladimir M. Popovic Author-X-Name-First: Vladimir M. Author-X-Name-Last: Popovic Title: Warranty optimisation based on the prediction of costs to the manufacturer using neural network model and Monte Carlo simulation Abstract: Warranty is a powerful marketing tool, but it always involves additional costs to the manufacturer. In order to reduce these costs and make use of warranty's marketing potential, the manufacturer needs to master the techniques for warranty cost prediction according to the reliability characteristics of the product. In this paper a combination free replacement and pro rata warranty policy is analysed as warranty model for one type of light bulbs. Since operating conditions have a great impact on product reliability, they need to be considered in such analysis. A neural network model is used to predict light bulb reliability characteristics based on the data from the tests of light bulbs in various operating conditions. Compared with a linear regression model used in the literature for similar tasks, the neural network model proved to be a more accurate method for such prediction. Reliability parameters obtained in this way are later used in Monte Carlo simulation for the prediction of times to failure needed for warranty cost calculation. The results of the analysis make possible for the manufacturer to choose the optimal warranty policy based on expected product operating conditions. In such a way, the manufacturer can lower the costs and increase the profit. Journal: International Journal of Systems Science Pages: 535-545 Issue: 3 Volume: 46 Year: 2015 Month: 2 X-DOI: 10.1080/00207721.2013.792972 File-URL: http://hdl.handle.net/10.1080/00207721.2013.792972 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:3:p:535-545 Template-Type: ReDIF-Article 1.0 Author-Name: Zhihai Wu Author-X-Name-First: Zhihai Author-X-Name-Last: Wu Author-Name: Li Peng Author-X-Name-First: Li Author-X-Name-Last: Peng Author-Name: Linbo Xie Author-X-Name-First: Linbo Author-X-Name-Last: Xie Author-Name: Jiwei Wen Author-X-Name-First: Jiwei Author-X-Name-Last: Wen Title: Stochastic bounded consensus tracking of second-order multi-agent systems with measurement noises based on sampled-data with general sampling delay Abstract: This paper investigates the stochastic bounded consensus tracking problems of second-order multi-agent systems, where the control input of an agent can only use the information measured at the sampling instants from its neighbours or the virtual leader with a time-varying reference state, the measurements are corrupted by random noises and the signal sampling process induces the general sampling delay. First, the stochastic bounded consensus tracking protocol based on sampled-data with the general sampling delay is presented by using the delay decomposition technique. Second, the augmented matrix method, the probability limit theory and some other techniques are employed to derive the necessary and sufficient conditions guaranteeing the mean square bounded consensus tracking. The theoretical results show that the convergence of the proposed protocol simultaneously depends on the constant feedback gains, the network topology, the sampled period and the sampling delay, and that the static consensus tracking error depends on not only the above-mentioned factors, but also the noise intensity and the upper bound of the velocity and the acceleration of the virtual leader. The obtained results cover no sampling delay and the small sampling delay as two special cases. Simulations are provided to demonstrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 546-561 Issue: 3 Volume: 46 Year: 2015 Month: 2 X-DOI: 10.1080/00207721.2013.792973 File-URL: http://hdl.handle.net/10.1080/00207721.2013.792973 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:3:p:546-561 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaolu Zhang Author-X-Name-First: Xiaolu Author-X-Name-Last: Zhang Author-Name: Zeshui Xu Author-X-Name-First: Zeshui Author-X-Name-Last: Xu Title: Hesitant fuzzy agglomerative hierarchical clustering algorithms Abstract: Recently, hesitant fuzzy sets (HFSs) have been studied by many researchers as a powerful tool to describe and deal with uncertain data, but relatively, very few studies focus on the clustering analysis of HFSs. In this paper, we propose a novel hesitant fuzzy agglomerative hierarchical clustering algorithm for HFSs. The algorithm considers each of the given HFSs as a unique cluster in the first stage, and then compares each pair of the HFSs by utilising the weighted Hamming distance or the weighted Euclidean distance. The two clusters with smaller distance are jointed. The procedure is then repeated time and again until the desirable number of clusters is achieved. Moreover, we extend the algorithm to cluster the interval-valued hesitant fuzzy sets, and finally illustrate the effectiveness of our clustering algorithms by experimental results. Journal: International Journal of Systems Science Pages: 562-576 Issue: 3 Volume: 46 Year: 2015 Month: 2 X-DOI: 10.1080/00207721.2013.797037 File-URL: http://hdl.handle.net/10.1080/00207721.2013.797037 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:3:p:562-576 Template-Type: ReDIF-Article 1.0 Author-Name: Hao Wu Author-X-Name-First: Hao Author-X-Name-Last: Wu Author-Name: Wei Wang Author-X-Name-First: Wei Author-X-Name-Last: Wang Author-Name: Hao Ye Author-X-Name-First: Hao Author-X-Name-Last: Ye Title: Robust state estimation for linear systems with parametric uncertainties and quantised measurements Abstract: In this paper, the problem of state estimation for linear systems with bounded parametric uncertainties and quantised measurements is addressed. The quantised measurements are random variables of which the probability density functions (PDF) are closely related to the uncertain system parameters. Thus the statistical information of the quantised measurements and the deterministic bounds of the parametric uncertainties need to be incorporated in the design. Based on this, a robust estimator is proposed to minimise the worst-case expectation of the regularised residual norm over all possible parametric uncertainties. An iterative algorithm is presented to obtain the optimal solution. Simulation results are provided to show the effectiveness of the proposed estimator. Journal: International Journal of Systems Science Pages: 526-534 Issue: 3 Volume: 46 Year: 2015 Month: 2 X-DOI: 10.1080/00207721.2013.807387 File-URL: http://hdl.handle.net/10.1080/00207721.2013.807387 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:3:p:526-534 Template-Type: ReDIF-Article 1.0 Author-Name: Xiasheng Shi Author-X-Name-First: Xiasheng Author-X-Name-Last: Shi Author-Name: Yuandong Wang Author-X-Name-First: Yuandong Author-X-Name-Last: Wang Author-Name: Sumian Song Author-X-Name-First: Sumian Author-X-Name-Last: Song Author-Name: Gangfeng Yan Author-X-Name-First: Gangfeng Author-X-Name-Last: Yan Title: Distributed optimisation for resource allocation with event-triggered communication over general directed topology Abstract: This paper focuses on the resource allocation problem(RAP) with constraints under a fixed general directed topology by using the distributed sub-gradient algorithm with event-triggered scheme in multi-agent systems, where each agent owns a cost function and its state value is bounded. The distributed sub-gradient algorithm aims to minimise the total cost by a distributed manner while achieving an optimal solution. Unlike centralised methods, the triggering condition and algorithm for each agent are fully decentralised. At each instant of time, each agent updates its state by employing the states which are collected from itself and its neighbouring agents at their last triggering time. In order to illustrate the effectiveness of the proposed sub-gradient algorithm with event-triggered control law, one simulation example is presented before the conclusion. Journal: International Journal of Systems Science Pages: 1119-1130 Issue: 6 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1439124 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1439124 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:6:p:1119-1130 Template-Type: ReDIF-Article 1.0 Author-Name: Anísio Rogério Braga Author-X-Name-First: Anísio Rogério Author-X-Name-Last: Braga Author-Name: Walmir Caminhas Author-X-Name-First: Walmir Author-X-Name-Last: Caminhas Author-Name: Carmela Maria Polito Braga Author-X-Name-First: Carmela Maria Polito Author-X-Name-Last: Braga Title: A recursive algorithm for estimating multiple models continuous transfer function with non-uniform sampling Abstract: A multiple model recursive least squares algorithm combined with a first-order low-pass filter transformation method, named λ-transform, is proposed for the simultaneous identification of multiple model orders continuous transfer functions from non-uniformly sampled input–output data. The λ-transformation is shown to be equivalent to a canonical transformation between discrete z-domain and δ-domain using the negative value of the λ-transform filter time-constant instead of the sampling interval parameter. The proposed algorithm deals with oversampling, sampling jitter or non-uniform sample intervals without the need for extra digital anti-aliasing pre-filtering, downsampling or interpolation algorithms, producing multiple models with a cost function that facilitates automatic selection of best-fitted models. Besides, measurement noise is noted as beneficial, bringing up an inherent bias toward low-order models. Simulated examples and a drum-boiler level experimental result exhibiting non-minimum phase behaviour illustrate the application of the proposed method. Journal: International Journal of Systems Science Pages: 1131-1145 Issue: 6 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1440024 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1440024 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:6:p:1131-1145 Template-Type: ReDIF-Article 1.0 Author-Name: Yuanping Su Author-X-Name-First: Yuanping Author-X-Name-Last: Su Author-Name: Lihong Xu Author-X-Name-First: Lihong Author-X-Name-Last: Xu Author-Name: Erik D. Goodman Author-X-Name-First: Erik D. Author-X-Name-Last: Goodman Title: Control allocation-based adaptive control for greenhouse climate Abstract: This paper presents an adaptive approach to greenhouse climate control, as part of an integrated control and management system for greenhouse production. In this approach, an adaptive control algorithm is first derived to guarantee the asymptotic convergence of the closed system with uncertainty, then using that control algorithm, a controller is designed to satisfy the demands for heat and mass fluxes to maintain inside temperature, humidity and CO2 concentration at their desired values. Instead of applying the original adaptive control inputs directly, second, a control allocation technique is applied to distribute the demands of the heat and mass fluxes to the actuators by minimising tracking errors and energy consumption. To find an energy-saving solution, both single-objective optimisation (SOO) and multiobjective optimisation (MOO) in the control allocation structure are considered. The advantage of the proposed approach is that it does not require any a priori knowledge of the uncertainty bounds, and the simulation results illustrate the effectiveness of the proposed control scheme. It also indicates that MOO saves more energy in the control process. Journal: International Journal of Systems Science Pages: 1146-1163 Issue: 6 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1440025 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1440025 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:6:p:1146-1163 Template-Type: ReDIF-Article 1.0 Author-Name: Fabio Barbieri Author-X-Name-First: Fabio Author-X-Name-Last: Barbieri Author-Name: Oswaldo L. V. Costa Author-X-Name-First: Oswaldo L. V. Author-X-Name-Last: Costa Title: Optimal control with constrained total variance for Markov jump linear systems with multiplicative noises Abstract: We consider in this paper the stochastic optimal control problem of discrete-time linear systems subject to Markov jumps and multiplicative noises (MJLS-mn for short). Our objective is to present an optimal policy for the problem of maximising the system's total expected output over a finite-time horizon while restricting the weighted sum of its variance to a pre-specified upper-bound value. We obtain explicit conditions for the existence of an optimal control law for this problem as well as an algorithm for obtaining it, extending previous results in the literature. The paper is concluded by applying our results to a portfolio selection problem subject to regime switching. Journal: International Journal of Systems Science Pages: 1178-1187 Issue: 6 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1441469 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1441469 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:6:p:1178-1187 Template-Type: ReDIF-Article 1.0 Author-Name: Peide Liu Author-X-Name-First: Peide Author-X-Name-Last: Liu Author-Name: Peng Wang Author-X-Name-First: Peng Author-X-Name-Last: Wang Title: Some interval-valued intuitionistic fuzzy Schweizer–Sklar power aggregation operators and their application to supplier selection Abstract: Supplier selection is an important multiple attribute group decision-making (MAGDM) problem. How to choose a suitable supplier is an evaluation process with different alternatives of multiple attributes, and it also relates to the expression of the evaluation value. Considering Schweizer–Sklar t-conorm and t-norm (SSTT) can make the information aggregation process more flexible than others, and the power average (PA) operator can eliminate effects of unreasonable data from biased decision-makers. So, we extend SSTT to interval-valued intuitionistic fuzzy numbers (IVIFNs) and define Schweizer–Sklar operational rules of IVIFNs. Then, we combine the PA operator with Schweizer–Sklar operations, and propose the interval-valued intuitionistic fuzzy Schweizer–Sklar power average operator, the interval-valued intuitionistic fuzzy Schweizer–Sklar power weighted average (IVIFSSPWA) operator, the interval-valued intuitionistic fuzzy Schweizer–Sklar power geometric operator and the interval-valued intuitionistic fuzzy Schweizer–Sklar power weighted geometric (IVIFSSPWG) operator, respectively. Furthermore, we study some desirable characteristics of them and develop two methods on the basis of IVIFSSPWA and IVIFSSPWG operators. At the same time, we apply the two methods to deal with the MAGDM problems based on supplier selection. Finally, an illustrative example of supplier selection problem is given to testify the availability of the presented operators. Journal: International Journal of Systems Science Pages: 1188-1211 Issue: 6 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1442510 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1442510 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:6:p:1188-1211 Template-Type: ReDIF-Article 1.0 Author-Name: Małgorzata Wyrwas Author-X-Name-First: Małgorzata Author-X-Name-Last: Wyrwas Author-Name: Dorota Mozyrska Author-X-Name-First: Dorota Author-X-Name-Last: Mozyrska Author-Name: Ewa Girejko Author-X-Name-First: Ewa Author-X-Name-Last: Girejko Title: Fractional discrete-time consensus models for single- and double-summator dynamics Abstract: The leader–following consensus problem of fractional-order multi-agent discrete-time systems is considered. In the systems, interactions between opinions are defined like in Krause and Cucker–Smale models but the memory is included by taking the fractional-order discrete-time operator on the left-hand side of the nonlinear systems. In this paper, we investigate fractional-order models of opinions for the single- and double-summator dynamics of discrete-time by analytical methods as well as by computer simulations. The necessary and sufficient conditions for the leader–following consensus are formulated by proposing a consensus control law for tracking the virtual leader. Journal: International Journal of Systems Science Pages: 1212-1225 Issue: 6 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1442511 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1442511 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:6:p:1212-1225 Template-Type: ReDIF-Article 1.0 Author-Name: Shuo Li Author-X-Name-First: Shuo Author-X-Name-Last: Li Author-Name: Zhengrong Xiang Author-X-Name-First: Zhengrong Author-X-Name-Last: Xiang Author-Name: Jian Guo Author-X-Name-First: Jian Author-X-Name-Last: Guo Title: Stabilisation for positive switched T-S fuzzy delayed systems under standard L1 and L∞ performance Abstract: In this paper, the stabilisation problem for positive switched T-S fuzzy delayed systems under standard L1 and L∞ performance is addressed. First, by proposing a time-scheduled multiple linear copositive Lyapunov function which is time-varying during the mode-dependent minimum dwell-time interval, sufficient conditions of asymptotical stability for positive switched T-S fuzzy delayed system under dwell-time switching are derived for the first time. Then, sufficient conditions for the underlying system to be asymptotically stable with standard L1 and L∞ performance are obtained, respectively. Based on the obtained results, a fuzzy state-feedback controller scheme is designed to stabilise the positive switched T-S fuzzy delayed system, while guaranteeing the positivity and asymptotical stability with standard L1 performance in closed loop. Furthermore, the stabilisation problem under standard L∞ performance is also solved. All the results are presented in the linear programming form. Finally, two numerical examples are presented to demonstrate the effectiveness of the obtained theoretical results. Journal: International Journal of Systems Science Pages: 1226-1241 Issue: 6 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1442512 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1442512 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:6:p:1226-1241 Template-Type: ReDIF-Article 1.0 Author-Name: Deqiang Zeng Author-X-Name-First: Deqiang Author-X-Name-Last: Zeng Author-Name: Ruimei Zhang Author-X-Name-First: Ruimei Author-X-Name-Last: Zhang Author-Name: Xinzhi Liu Author-X-Name-First: Xinzhi Author-X-Name-Last: Liu Author-Name: Shouming Zhong Author-X-Name-First: Shouming Author-X-Name-Last: Zhong Author-Name: Kaibo Shi Author-X-Name-First: Kaibo Author-X-Name-Last: Shi Title: Improved results on synchronisation of delayed complex dynamical networks via sampled-data control Abstract: This paper focuses on the synchronisation problem of delayed complex dynamical networks via sampled-data control. A novel input-delay-dependent Lyapunov–Krasovskii functional (LKF) is constructed for the first time, which can make full use of the information on the input delay. To strengthen the combinations of the vectors in the resulting augmented vector, a new zero value equality is founded. Based on the input-delay-dependent LKF and zero value equality, synchronisation criteria are established. In comparison with some existing synchronisation criteria, the criteria in this paper are less conservative. The desired sampled-data controller is designed by solving a set of linear matrix inequalities. Finally, numerical examples are given to demonstrate the superiorities of proposed results. Journal: International Journal of Systems Science Pages: 1242-1255 Issue: 6 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1442513 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1442513 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:6:p:1242-1255 Template-Type: ReDIF-Article 1.0 Author-Name: Ping Liu Author-X-Name-First: Ping Author-X-Name-Last: Liu Author-Name: Huaqing Li Author-X-Name-First: Huaqing Author-X-Name-Last: Li Author-Name: Xiangguang Dai Author-X-Name-First: Xiangguang Author-X-Name-Last: Dai Author-Name: Qi Han Author-X-Name-First: Qi Author-X-Name-Last: Han Title: Distributed primal-dual optimisation method with uncoordinated time-varying step-sizes Abstract: This paper is concerned with the distributed optimisation problem over a multi-agent network, where the objective function is described by a sum of all the local objectives of agents. The target of agents is to collectively reach an optimal solution while minimising the global objective function. Under the assumption that the information exchange among agents is depicted by a sequence of time-varying undirected graphs, a distributed optimisation algorithm with uncoordinated time-varying step-sizes is presented, which signifies that the step-sizes of agents are not always uniform per iteration. In light of some reasonable assumptions, this paper fully conducts an explicit analysis for the convergence rate of the optimisation method. A striking feature is that the algorithm has a geometric convergence rate even if the step-sizes are time-varying and uncoordinated. Simulation results on two numerical experiments in power systems show effectiveness and performance of the proposed algorithm. Journal: International Journal of Systems Science Pages: 1256-1272 Issue: 6 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1442886 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1442886 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:6:p:1256-1272 Template-Type: ReDIF-Article 1.0 Author-Name: Jason Sheng Hong Tsai Author-X-Name-First: Jason Sheng Hong Author-X-Name-Last: Tsai Author-Name: Te Jen Su Author-X-Name-First: Te Jen Author-X-Name-Last: Su Author-Name: Jui-Chuan Cheng Author-X-Name-First: Jui-Chuan Author-X-Name-Last: Cheng Author-Name: Yun-You Lin Author-X-Name-First: Yun-You Author-X-Name-Last: Lin Author-Name: Van-Nam Giap Author-X-Name-First: Van-Nam Author-X-Name-Last: Giap Author-Name: Shu Mei Guo Author-X-Name-First: Shu Mei Author-X-Name-Last: Guo Author-Name: Leang San Shieh Author-X-Name-First: Leang San Author-X-Name-Last: Shieh Title: Robust observer-based optimal linear quadratic tracker for five-degree-of-freedom sampled-data active magnetic bearing system Abstract: This paper presents three observer/Kalman filter identification (OKID) approaches and develops a robust observer-based optimal linear quadratic digital tracker (LQDT) for the five-degree-of-freedom (five-DOF) sampled-data active magnetic bearing (AMB) system with various disturbances. The more detailed objectives are: (i) to construct both an equivalent linear time-invariant discrete-time model and its state estimator via the proposed OKID approaches for the AMB system, which might be an unknown nonlinear time-varying unstable system with both a specified rotation speed and a sampling rate; (ii) to provide an adaptive disturbance estimation scheme, which establishes an equivalent input disturbance (EID) estimator for the AMB system with unexpected disturbances; and (iii) to develop a robust observer-based optimal LQDT for the sampled-data AMB system with both a pre-specified time-varying speed and unexpected disturbances. The developed LQDT is able to recover the displacement of the rotor to the pre-specified trajectory position whenever it deviates from such trajectory. Journal: International Journal of Systems Science Pages: 1273-1299 Issue: 6 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1443231 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1443231 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:6:p:1273-1299 Template-Type: ReDIF-Article 1.0 Author-Name: Jian Liu Author-X-Name-First: Jian Author-X-Name-Last: Liu Author-Name: Rui Xu Author-X-Name-First: Rui Author-X-Name-Last: Xu Title: Adaptive synchronisation of memristor-based neural networks with leakage delays and applications in chaotic masking secure communication Abstract: Chaotic synchronisation has caused extensive attention due to its potential application in secure communication. This paper is concerned with the problem of adaptive synchronisation for two different kinds of memristor-based neural networks with time delays in leakage terms. By applying set-valued maps and differential inclusions theories, synchronisation criteria are obtained via linear matrix inequalities technique, which guarantee drive system being synchronised with response system under adaptive control laws. Finally, a numerical example is given to illustrate the feasibility of our theoretical results, and two schemes for secure communication are introduced based on chaotic masking method. Journal: International Journal of Systems Science Pages: 1300-1315 Issue: 6 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1443232 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1443232 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:6:p:1300-1315 Template-Type: ReDIF-Article 1.0 Author-Name: Yuan Pu Author-X-Name-First: Yuan Author-X-Name-Last: Pu Author-Name: Zongying Shi Author-X-Name-First: Zongying Author-X-Name-Last: Shi Author-Name: Yisheng Zhong Author-X-Name-First: Yisheng Author-X-Name-Last: Zhong Title: Vertical manoeuvring and rotor speed robust control for mini-helicopter Abstract: A robust control approach is presented for vertical manoeuvring helicopters with aerodynamics acting on the main rotor. An induced inflow observer is applied which only requires the measured values of the vertical accelerator in the body frame. The controller consists of three parts: a feedback linearisation controller, a nominal controller and a robust compensator. Feedback linearisation is applied to decouple the vertical motion dynamics and the rotor speed dynamics; the nominal controller aims to achieve desired performances for the nominal system without external disturbances or uncertainties; and the robust compensator is designed to restrain the effect of the external disturbance and the uncertainties. It is proven that all the states involved are bounded and the tracking error of the actual system can converge into an arbitrary specified boundary in a finite time for any given initial state. The results of outdoor flight experiments show that the robust tracking performances are consistent with the theory analysis conclusions. Journal: International Journal of Systems Science Pages: 1316-1331 Issue: 6 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1444213 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1444213 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:6:p:1316-1331 Template-Type: ReDIF-Article 1.0 Author-Name: K. Tebani Author-X-Name-First: K. Author-X-Name-Last: Tebani Author-Name: S. Amari Author-X-Name-First: S. Author-X-Name-Last: Amari Author-Name: R. Kara Author-X-Name-First: R. Author-X-Name-Last: Kara Title: Control of Petri nets subject to strict temporal constraints using Max-Plus algebra Abstract: In this paper, we treat the control problem of timed discrete event systems under temporal constraints. This type of constraint is very frequent in production systems, transportation network and in networked automation systems. Precisely, we are interested in the validation of strict temporal constraints imposed on the paths in a timed event graph (TEG) by using Max-Plus algebra. Not all the transitions of the considered TEG model are controllable, i.e. only the input transitions are controllable. An analytical approach for computing state feedback controllers is developed. Sufficient condition is given for the existence of causal control laws satisfying the temporal constraints. In the first, a TEG with observable transitions is considered. Then, the proposed approach is extended to the partially observable TEG. The synthesised feedback can be interpreted by places of control connected to the TEG to guarantee the respect of the time constraints. The proposed method is illustrated in the assembly system example. Journal: International Journal of Systems Science Pages: 1332-1344 Issue: 6 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1445311 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1445311 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:6:p:1332-1344 Template-Type: ReDIF-Article 1.0 Author-Name: Ruizi Ma Author-X-Name-First: Ruizi Author-X-Name-Last: Ma Author-Name: Guoshan Zhang Author-X-Name-First: Guoshan Author-X-Name-Last: Zhang Title: Sliding mode tracking control with differential evolution optimisation algorithm using integral-chain differentiator in uncertain nonlinear systems Abstract: This paper presents sliding mode tracking control for a class of uncertain nonlinear systems with unknown parameters and system states. The sliding mode tracking controller with the differential evolution (DE) algorithm using integral-chain differentiator (ICD) is designed for the trajectory tracking in uncertain nonlinear systems. The ICD added into the sliding mode tracking systems provides the estimation of unknown states. The DE optimisation algorithm on the basis of ICD realises the unknown parametric identification in the limitation of unknown system states. The simulation is implemented to illustrate that the combined control scheme achieves high precision tracking performances. Journal: International Journal of Systems Science Pages: 1345-1352 Issue: 6 Volume: 49 Year: 2018 Month: 4 X-DOI: 10.1080/00207721.2018.1445791 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1445791 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:6:p:1345-1352 Template-Type: ReDIF-Article 1.0 Author-Name: Qing-Quan Liu Author-X-Name-First: Qing-Quan Author-X-Name-Last: Liu Author-Name: Fang Jin Author-X-Name-First: Fang Author-X-Name-Last: Jin Title: State estimation for networked control systems using fixed data rates Abstract: This paper investigates state estimation for linear time-invariant systems where sensors and controllers are geographically separated and connected via a bandwidth-limited and errorless communication channel with the fixed data rate. All plant states are quantised, coded and converted together into a codeword in our quantisation and coding scheme. We present necessary and sufficient conditions on the fixed data rate for observability of such systems, and further develop the data-rate theorem. It is shown in our results that there exists a quantisation and coding scheme to ensure observability of the system if the fixed data rate is larger than the lower bound given, which is less conservative than the one in the literature. Furthermore, we also examine the role that the disturbances have on the state estimation problem in the case with data-rate limitations. Illustrative examples are given to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1818-1828 Issue: 9 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1287315 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1287315 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:9:p:1818-1828 Template-Type: ReDIF-Article 1.0 Author-Name: Jingbo Gao Author-X-Name-First: Jingbo Author-X-Name-Last: Gao Author-Name: Weiqun Wang Author-X-Name-First: Weiqun Author-X-Name-Last: Wang Title: Passivity analysis and control for discrete-time two-dimensional switched systems in Roesser model Abstract: This paper investigates the passivity issues of discrete-time two-dimensional switched systems in Roesser model under a state-dependent switching law. Conditions for passivity of discrete-time two-dimensional switched systems are obtained without the requirement of passivity of subsystems. When the system states are completely available, state feedback controllers and switching laws are designed. In the case of partial state measurements, dynamic output feedback controllers and switching laws depending only on the state of the output feedback controllers are constructed to guarantee passivity of the closed-loop switched system. Finally, numerical examples are provided to illustrate the efficiency of the results. Journal: International Journal of Systems Science Pages: 1922-1931 Issue: 9 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1288279 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1288279 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:9:p:1922-1931 Template-Type: ReDIF-Article 1.0 Author-Name: Jiayun Liu Author-X-Name-First: Jiayun Author-X-Name-Last: Liu Author-Name: Weisheng Chen Author-X-Name-First: Weisheng Author-X-Name-Last: Chen Author-Name: Hao Dai Author-X-Name-First: Hao Author-X-Name-Last: Dai Title: Distributed Zero-Gradient-Sum (ZGS) consensus optimisation over networks with time-varying topologies Abstract: This paper addresses a distributed consensus optimisation problem over networks with time-varying topologies based on Zero-Gradient-Sum (ZGS) algorithm. First, the exponential convergence of the algorithm is guaranteed under a new condition on network topologies, called cooperatively connected. This condition does not require the topology constantly connected or jointly connected but only requires the integral of the Laplacian matrix of the network topology over a period of time is connected. Hence, it is suitable for more general time-varying topologies. Second, by establishing a key mathematical lemma, we develop a convergence analysis technique which is based on the difference of the Lyapunov function rather than its differentiation. Finally, a simulation example is also provided to verify the results obtained in this paper. Journal: International Journal of Systems Science Pages: 1836-1843 Issue: 9 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1288840 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1288840 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:9:p:1836-1843 Template-Type: ReDIF-Article 1.0 Author-Name: Jian Liu Author-X-Name-First: Jian Author-X-Name-Last: Liu Author-Name: Xiaoe Ruan Author-X-Name-First: Xiaoe Author-X-Name-Last: Ruan Title: Networked iterative learning control design for discrete-time systems with stochastic communication delay in input and output channels Abstract: This paper develops two kinds of derivative-type networked iterative learning control (NILC) schemes for repetitive discrete-time systems with stochastic communication delay occurred in input and output channels and modelled as 0-1 Bernoulli-type stochastic variable. In the two schemes, the delayed signal of the current control input is replaced by the synchronous input utilised at the previous iteration, whilst for the delayed signal of the system output the one scheme substitutes it by the synchronous predetermined desired trajectory and the other takes it by the synchronous output at the previous operation, respectively. In virtue of the mathematical expectation, the tracking performance is analysed which exhibits that for both the linear time-invariant and nonlinear affine systems the two kinds of NILCs are convergent under the assumptions that the probabilities of communication delays are adequately constrained and the product of the input–output coupling matrices is full-column rank. Last, two illustrative examples are presented to demonstrate the effectiveness and validity of the proposed NILC schemes. Journal: International Journal of Systems Science Pages: 1844-1855 Issue: 9 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1289567 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1289567 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:9:p:1844-1855 Template-Type: ReDIF-Article 1.0 Author-Name: R. Caballero-Águila Author-X-Name-First: R. Author-X-Name-Last: Caballero-Águila Author-Name: A. Hermoso-Carazo Author-X-Name-First: A. Author-X-Name-Last: Hermoso-Carazo Author-Name: J. Linares-Pérez Author-X-Name-First: J. Author-X-Name-Last: Linares-Pérez Title: New distributed fusion filtering algorithm based on covariances over sensor networks with random packet dropouts Abstract: This paper studies the distributed fusion estimation problem from multisensor measured outputs perturbed by correlated noises and uncertainties modelled by random parameter matrices. Each sensor transmits its outputs to a local processor over a packet-erasure channel and, consequently, random losses may occur during transmission. Different white sequences of Bernoulli variables are introduced to model the transmission losses. For the estimation, each lost output is replaced by its estimator based on the information received previously, and only the covariances of the processes involved are used, without requiring the signal evolution model. First, a recursive algorithm for the local least-squares filters is derived by using an innovation approach. Then, the cross-correlation matrices between any two local filters is obtained. Finally, the distributed fusion filter weighted by matrices is obtained from the local filters by applying the least-squares criterion. The performance of the estimators and the influence of both sensor uncertainties and transmission losses on the estimation accuracy are analysed in a numerical example. Journal: International Journal of Systems Science Pages: 1805-1817 Issue: 9 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1289568 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1289568 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:9:p:1805-1817 Template-Type: ReDIF-Article 1.0 Author-Name: Aleksandr Andreev Author-X-Name-First: Aleksandr Author-X-Name-Last: Andreev Author-Name: Olga Peregudova Author-X-Name-First: Olga Author-X-Name-Last: Peregudova Title: Lyapunov vector function method in the motion stabilisation problem for nonholonomic mobile robot Abstract: In this paper we propose a sampled-data control law in the stabilisation problem of nonstationary motion of nonholonomic mobile robot. We assume that the robot moves on a horizontal surface without slipping. The dynamical model of a mobile robot is considered. The robot has one front free wheel and two rear wheels which are controlled by two independent electric motors. We assume that the controls are piecewise constant signals. Controller design relies on the backstepping procedure with the use of Lyapunov vector-function method. Theoretical considerations are verified by numerical simulation. Journal: International Journal of Systems Science Pages: 2003-2012 Issue: 9 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1290296 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1290296 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:9:p:2003-2012 Template-Type: ReDIF-Article 1.0 Author-Name: Yunru Zhu Author-X-Name-First: Yunru Author-X-Name-Last: Zhu Author-Name: Yuanshi Zheng Author-X-Name-First: Yuanshi Author-X-Name-Last: Zheng Author-Name: Yongqiang Guan Author-X-Name-First: Yongqiang Author-X-Name-Last: Guan Title: Consensus of switched multi-agent systems under quantised measurements Abstract: This paper deals with the quantised consensus problem for switched multi-agent system which is composed of continuous-time and discrete-time subsystems. We adopt the distributed consensus protocols based on the quantised relative state measurements of agents. By using the properties of Laplacian matrix, it is shown that the switched multi-agent system can reach consensus exponentially with logarithmic quantiser under arbitrary switching. It is also proved that the distance between the states of any pair of neighbouring agents just converges to a bounded set when uniform quantisers are utilised. Simulation examples are presented to illustrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 1796-1804 Issue: 9 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1290297 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1290297 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:9:p:1796-1804 Template-Type: ReDIF-Article 1.0 Author-Name: J. Zhou Author-X-Name-First: J. Author-X-Name-Last: Zhou Author-Name: H. M. Qian Author-X-Name-First: H. M. Author-X-Name-Last: Qian Title: Stability analysis of sampled-data systems via open-/closed-loop characteristic polynomials contraposition Abstract: In this paper, a class of sampled-data systems with double feedbacks are scrutinized for internal/external stability through the open-/closed-loop characteristic polynomials contraposition. A sampled-data system with double feedbacks consists of a continuous-time plant and two feedback control loops: a discrete-time one for digital control objectives with sampler and zero-order hold synchronized, and a continuous-time one for analog control performances. Contraposition stability criteria are worked out by exploiting what we call the contraposition return difference relationship in between the open- and closed-loop characteristic polynomials defined via the lifted model. The criteria for asymptotical stability are necessary and sufficient, independent of open-loop poles distribution of the lifted model and locus orientation specification. Moreover, the criteria for Lp-stability are sufficient, while retaining the technical merits of the criteria for asymptotical stability. All criteria present stability conditions in the standard discrete-time sense that are implementable either graphically with loci plotting, or numerically without loci plotting. Examples are included to illustrate the results. Journal: International Journal of Systems Science Pages: 1941-1953 Issue: 9 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1290298 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1290298 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:9:p:1941-1953 Template-Type: ReDIF-Article 1.0 Author-Name: Saurabh Pandey Author-X-Name-First: Saurabh Author-X-Name-Last: Pandey Author-Name: Somanath Majhi Author-X-Name-First: Somanath Author-X-Name-Last: Majhi Author-Name: Prasenjit Ghorai Author-X-Name-First: Prasenjit Author-X-Name-Last: Ghorai Title: A new modelling and identification scheme for time-delay systems with experimental investigation: a relay feedback approach Abstract: In this paper, the conventional relay feedback test has been modified for modelling and identification of a class of real-time dynamical systems in terms of linear transfer function models with time-delay. An ideal relay and unknown systems are connected through a negative feedback loop to bring the sustained oscillatory output around the non-zero setpoint. Thereafter, the obtained limit cycle information is substituted in the derived mathematical equations for accurate identification of unknown plants in terms of overdamped, underdamped, critically damped second-order plus dead time and stable first-order plus dead time transfer function models. Typical examples from the literature are included for the validation of the proposed identification scheme through computer simulations. Subsequently, the comparisons between estimated model and true system are drawn through integral absolute error criterion and frequency response plots. Finally, the obtained output responses through simulations are verified experimentally on real-time liquid level control system using Yokogawa Distributed Control System CENTUM CS3000 set up. Journal: International Journal of Systems Science Pages: 1932-1940 Issue: 9 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1290299 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1290299 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:9:p:1932-1940 Template-Type: ReDIF-Article 1.0 Author-Name: Y. Peretz Author-X-Name-First: Y. Author-X-Name-Last: Peretz Title: On applications of the ray-shooting method for structured and structured-sparse static-output-feedbacks Abstract: A randomised optimisation method, called the ray-shooting method that efficiently solves the minimisation problem of continuous functions over compact non-convex unconnected regions, was introduced recently. Based on the ray-shooting method, an algorithm is suggested for solving the problems of structured and structured-sparse stabilising static-output-feedbacks. The algorithm presented here is a randomised algorithm, with a proof of convergence in probability. Its practical implementation has a good performance, in terms of quality of controllers, percent of success and run-time. Journal: International Journal of Systems Science Pages: 1902-1913 Issue: 9 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1290300 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1290300 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:9:p:1902-1913 Template-Type: ReDIF-Article 1.0 Author-Name: Li-Wei Li Author-X-Name-First: Li-Wei Author-X-Name-Last: Li Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Decentralised output feedback control of Markovian jump interconnected systems with unknown interconnections Abstract: The problem of decentralised output feedback control is addressed for Markovian jump interconnected systems with unknown interconnections and general transition rates (TRs) allowed to be unknown or known with uncertainties. A class of decentralised dynamic output feedback controllers are constructed, and a cyclic-small-gain condition is exploited to dispose the unknown interconnections so that the resultant closed-loop system is stochastically stable and satisfies an H∞ performance. With slack matrices to cope with the nonlinearities incurred by unknown and uncertain TRs in control synthesis, a novel controller design condition is developed in linear matrix inequality formalism. Compared with the existing works, the proposed approach leads to less conservatism. Finally, two examples are used to illustrate the effectiveness of the new results. Journal: International Journal of Systems Science Pages: 1856-1870 Issue: 9 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1291866 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1291866 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:9:p:1856-1870 Template-Type: ReDIF-Article 1.0 Author-Name: Kaiqun Zhu Author-X-Name-First: Kaiqun Author-X-Name-Last: Zhu Author-Name: Yan Song Author-X-Name-First: Yan Author-X-Name-Last: Song Author-Name: Sunjie Zhang Author-X-Name-First: Sunjie Author-X-Name-Last: Zhang Author-Name: Zhaozhun Zhong Author-X-Name-First: Zhaozhun Author-X-Name-Last: Zhong Title: Non-fragile observer-based output feedback control for polytopic uncertain system under distributed model predictive control approach Abstract: In this paper, a non-fragile observer-based output feedback control problem for the polytopic uncertain system under distributed model predictive control (MPC) approach is discussed. By decomposing the global system into some subsystems, the computation complexity is reduced, so it follows that the online designing time can be saved.Moreover, an observer-based output feedback control algorithm is proposed in the framework of distributed MPC to deal with the difficulties in obtaining the states measurements. In this way, the presented observer-based output-feedback MPC strategy is more flexible and applicable in practice than the traditional state-feedback one. What is more, the non-fragility of the controller has been taken into consideration in favour of increasing the robustness of the polytopic uncertain system. After that, a sufficient stability criterion is presented by using Lyapunov-like functional approach, meanwhile, the corresponding control law and the upper bound of the quadratic cost function are derived by solving an optimisation subject to convex constraints. Finally, some simulation examples are employed to show the effectiveness of the method. Journal: International Journal of Systems Science Pages: 1891-1901 Issue: 9 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1295329 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1295329 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:9:p:1891-1901 Template-Type: ReDIF-Article 1.0 Author-Name: Amir Hossein Abolmasoumi Author-X-Name-First: Amir Hossein Author-X-Name-Last: Abolmasoumi Title: An LMI approach to design extended predictor feedback controllers for dynamical systems with input delay Abstract: The stabilisation of dynamical systems with input delay by an extended predictor feedback controller is investigated. After considering a more general case of the predictor feedback controllers, the design procedure is transformed into the stabilisation problem of the system controlled by a dynamic output feedback controller. By proposing appropriate Lyapunov-Krasovskii functionals, the predictor feedback gains are then synthesised from the stability conditions which are obtained in form of linear matrix inequalities. Such design approach is more flexible and extendable in comparison to one used by the conventional predictor feedback control. As a simulation example, the designed extended predictor feedback controller is applied on an active suspension system and is used to stabilise an unstable system with input delays. The obtained results demonstrate the effectiveness of the design method. Journal: International Journal of Systems Science Pages: 1914-1921 Issue: 9 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1295330 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1295330 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:9:p:1914-1921 Template-Type: ReDIF-Article 1.0 Author-Name: Dong Wang Author-X-Name-First: Dong Author-X-Name-Last: Wang Author-Name: Dong Wang Author-X-Name-First: Dong Author-X-Name-Last: Wang Author-Name: Wei Wang Author-X-Name-First: Wei Author-X-Name-Last: Wang Author-Name: Yurong Liu Author-X-Name-First: Yurong Author-X-Name-Last: Liu Author-Name: Fuad E. Alsaadi Author-X-Name-First: Fuad E. Author-X-Name-Last: Alsaadi Title: Distributed optimisation for multi-agent systems with the first-order integrals under Markovian switching topologies Abstract: This paper studies the distributed optimisation problem for multi-agent systems with the first-order dynamics over Markovian switching topologies. The interaction topology among agents’ switches following a Markov process and each topology is modelled as a state of the Markov process. The aim is to minimise the global cost functions and make the agents converge to the optimal point through the network communication between the agents, where each agent has a local convex cost function only known by itself. Utilising the knowledge of convex analysis and graph theory, we establish a distributed algorithm for the optimisation problem with randomly switching topologies. A sufficient condition for the existence of such algorithm is obtained by using the Lyapunov method. Besides, the result is also extended to the cases of a Markov process with partially unknown transition rates. Finally, numerical simulations are given to validate the proposed algorithm. Journal: International Journal of Systems Science Pages: 1787-1795 Issue: 9 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1295331 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1295331 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:9:p:1787-1795 Template-Type: ReDIF-Article 1.0 Author-Name: Bo Zhao Author-X-Name-First: Bo Author-X-Name-Last: Zhao Author-Name: Derong Liu Author-X-Name-First: Derong Author-X-Name-Last: Liu Author-Name: Xiong Yang Author-X-Name-First: Xiong Author-X-Name-Last: Yang Author-Name: Yuanchun Li Author-X-Name-First: Yuanchun Author-X-Name-Last: Li Title: Observer-critic structure-based adaptive dynamic programming for decentralised tracking control of unknown large-scale nonlinear systems Abstract: In this paper, a decentralised tracking control (DTC) scheme is developed for unknown large-scale nonlinear systems by using observer-critic structure-based adaptive dynamic programming. The control consists of local desired control, local tracking error control and a compensator. By introducing the local neural network observer, the subsystem dynamics can be identified. The identified subsystems can be used for the local desired control and the control input matrix, which is used in local tracking error control. Meanwhile, Hamiltonian-Jacobi-Bellman equation can be solved by constructing a critic neural network. Thus, the local tracking error control can be derived directly. To compensate the overall error caused by substitution, observation and approximation of the local tracking error control, an adaptive robustifying term is employed. Simulation examples are provided to demonstrate the effectiveness of the proposed DTC scheme. Journal: International Journal of Systems Science Pages: 1978-1989 Issue: 9 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1296982 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1296982 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:9:p:1978-1989 Template-Type: ReDIF-Article 1.0 Author-Name: Zhen Shao Author-X-Name-First: Zhen Author-X-Name-Last: Shao Author-Name: Zhengrong Xiang Author-X-Name-First: Zhengrong Author-X-Name-Last: Xiang Title: High-order repetitive control for discrete-time linear switched systems Abstract: This paper is concerned with the design of a high-order repetitive control (RC) law for a class of discrete-time linear switched systems with repetition-varying reference trajectories. First, a high-order RC law, which embeds the characteristic of known variation of the reference trajectories, is proposed to the system, and a two-dimensional (2D) model is presented to describe the control and learning actions of the repetitive control system by using the lifting technique. By choosing appropriate multiple Lyapunov–Krasovskii functions, sufficient conditions for asymptotic stability of the 2D system are derived in the form of a set of linear matrix inequalities. Finally, an example is given to illustrate the effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 1882-1890 Issue: 9 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1297506 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1297506 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:9:p:1882-1890 Template-Type: ReDIF-Article 1.0 Author-Name: Hongjiu Yang Author-X-Name-First: Hongjiu Author-X-Name-Last: Yang Author-Name: Hui Li Author-X-Name-First: Hui Author-X-Name-Last: Li Author-Name: Yuanqing Xia Author-X-Name-First: Yuanqing Author-X-Name-Last: Xia Author-Name: Huiguang Li Author-X-Name-First: Huiguang Author-X-Name-Last: Li Title: Stabilisation for Markovian jump delta operator systems with time-varying delays and actuator saturation Abstract: In this paper, stochastic stabilisation is studied for Markovian jump delta operator systems with time-varying delays and actuator saturation. The transition probability rates in Markovian jump parameters are considered as partly known. Both lower and upper bounds are considered in the time-varying delays. Using Lyapunov–Krasovkii functional, a stochastic stabilisation condition is obtained for the closed-loop Markovian jump delta operator system with time-varying delays and actuator saturation. A numerical example is shown to illustrate the effectiveness and potential for the developed techniques. Journal: International Journal of Systems Science Pages: 1871-1881 Issue: 9 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1297507 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1297507 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:9:p:1871-1881 Template-Type: ReDIF-Article 1.0 Author-Name: Saleh Mobayen Author-X-Name-First: Saleh Author-X-Name-Last: Mobayen Author-Name: Fairouz Tchier Author-X-Name-First: Fairouz Author-X-Name-Last: Tchier Author-Name: Lakhdar Ragoub Author-X-Name-First: Lakhdar Author-X-Name-Last: Ragoub Title: Design of an adaptive tracker for -link rigid robotic manipulators based on super-twisting global nonlinear sliding mode control Abstract: This paper develops an adaptive super-twisting global nonlinear sliding mode control technique for n-link rigid robotic manipulators. A novel control law is designed to guarantee elimination of the reaching phase and existence of the sliding mode around the surface right from the initial time. Furthermore, the adaptive tuning law eliminates requirement of the knowledge about the upper bounds of external disturbances. By using the proposed method, a robust controller is designed so that the tracking error of rigid manipulator is convergent to the global nonlinear sliding surface in a finite time, and strong robustness with respect to large uncertainties and disturbances is guaranteed. Illustrative simulations on a two-link elbow robot manipulator and a three degree of freedom rigid manipulator are presented to show the robustness and effectiveness of the suggested design compared to other method. Moreover, a simulation as well as experimental study of a rotary inverted pendulum system demonstrates the applicability of the proposed method. Journal: International Journal of Systems Science Pages: 1990-2002 Issue: 9 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1299812 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1299812 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:9:p:1990-2002 Template-Type: ReDIF-Article 1.0 Author-Name: H. Gassara Author-X-Name-First: H. Author-X-Name-Last: Gassara Author-Name: A. El Hajjaji Author-X-Name-First: A. Author-X-Name-Last: El Hajjaji Author-Name: M. Chaabane Author-X-Name-First: M. Author-X-Name-Last: Chaabane Title: Design of polynomial fuzzy observer–controller for nonlinear systems with state delay: sum of squares approach Abstract: This paper investigates the problem of observer-based control for two classes of polynomial fuzzy systems with time-varying delay. The first class concerns a special case where the polynomial matrices do not depend on the estimated state variables. The second one is the general case where the polynomial matrices could depend on unmeasurable system states that will be estimated. For the last case, two design procedures are proposed. The first one gives the polynomial fuzzy controller and observer gains in two steps. In the second procedure, the designed gains are obtained using a single-step approach to overcome the drawback of a two-step procedure. The obtained conditions are presented in terms of sum of squares (SOS) which can be solved via the SOSTOOLS and a semi-definite program solver. Illustrative examples show the validity and applicability of the proposed results. Journal: International Journal of Systems Science Pages: 1954-1965 Issue: 9 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1299813 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1299813 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:9:p:1954-1965 Template-Type: ReDIF-Article 1.0 Author-Name: Dan Liu Author-X-Name-First: Dan Author-X-Name-Last: Liu Author-Name: Song Zhu Author-X-Name-First: Song Author-X-Name-Last: Zhu Author-Name: Wenting Chang Author-X-Name-First: Wenting Author-X-Name-Last: Chang Title: Mean square exponential input-to-state stability of stochastic memristive complex-valued neural networks with time varying delay Abstract: In this paper, mean square exponential input-to-state stability (exp-ISS) of stochastic memristive complex-valued neural networks (SMCVNNs) is investigated. By utilising Lyapunov functional and stochastic analysis theory, a sufficient criterion is derived to assure the mean square exp-ISS of the SMCVNNs. The obtained results not only generalise the previous works in the literature about real-valued neural networks as special cases, but also can be easily checked by parameters of system. Numerical simulations are given to show the effectiveness of our theoretical results. Journal: International Journal of Systems Science Pages: 1966-1977 Issue: 9 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1300706 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1300706 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:9:p:1966-1977 Template-Type: ReDIF-Article 1.0 Author-Name: Jun Xiong Author-X-Name-First: Jun Author-X-Name-Last: Xiong Author-Name: Junmin Li Author-X-Name-First: Junmin Author-X-Name-Last: Li Title: Non-fragile consensus algorithms for a network of diffusion PDEs with boundary local interaction Abstract: In this study, non-fragile consensus algorithm is proposed to solve the average consensus problem of a network of diffusion PDEs, modelled by boundary controlled heat equations. The problem deals with the case where the Neumann-type boundary controllers are corrupted by additive persistent disturbances. To achieve consensus between agents, a linear local interaction rule addressing this requirement is given. The proposed local interaction rules are analysed by applying a Lyapunov-based approach. The multiplicative and additive non-fragile feedback control algorithms are designed and sufficient conditions for the consensus of the multi-agent systems are presented in terms of linear matrix inequalities, respectively. Simulation results are presented to support the effectiveness of the proposed algorithms. Journal: International Journal of Systems Science Pages: 1829-1835 Issue: 9 Volume: 48 Year: 2017 Month: 7 X-DOI: 10.1080/00207721.2017.1308039 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1308039 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:9:p:1829-1835 Template-Type: ReDIF-Article 1.0 Author-Name: Guan Wang Author-X-Name-First: Guan Author-X-Name-Last: Wang Author-Name: Yi Shen Author-X-Name-First: Yi Author-X-Name-Last: Shen Title: Cluster synchronisation of directed complex dynamical networks with nonidentical nodes via pinning control Abstract: In this article, we study the cluster synchronisation problem of directed complex dynamical networks through controlling some specific nodes. This method explains which nodes should be chosen as pinned candidates. Owing to the special structure of cluster network, the number of such nodes is extremely small. In our model, we consider a directed network whose nodes in different clusters are nonidentical. Then some sufficient conditions to guarantee cluster synchronisation in the coupled network are presented. Finally, numerical examples are given to verify our theoretical analysis. Journal: International Journal of Systems Science Pages: 1577-1586 Issue: 9 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659699 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659699 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:9:p:1577-1586 Template-Type: ReDIF-Article 1.0 Author-Name: Jonas Yu Author-X-Name-First: Jonas Author-X-Name-Last: Yu Author-Name: Yu-Siang Lin Author-X-Name-First: Yu-Siang Author-X-Name-Last: Lin Author-Name: Kung-Jeng Wang Author-X-Name-First: Kung-Jeng Author-X-Name-Last: Wang Title: Coordination-based inventory management for deteriorating items in a two-echelon supply chain with profit sharing Abstract: This study develops a model for inventory management consisting of a two-echelon supply chain (SC) with profit sharing and deteriorating items. The retailer and the supplier act as the leader and follower, in which the supplier faces a huge setup cost and economic order quantity ordering strategy. The market demand is affected by the sale price of the product, and the inventory has a deterioration rate following a Weibull distribution. The retailer executes three profit-sharing mechanisms to motivate the supplier to participate in SC optimisation and to extend the life cycle of the product. A search algorithm is developed to determine the solutions as using the profit-sharing mechanisms. The outcomes from numerical experiments demonstrate the profitability of the proposed model. Journal: International Journal of Systems Science Pages: 1587-1601 Issue: 9 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659701 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659701 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:9:p:1587-1601 Template-Type: ReDIF-Article 1.0 Author-Name: Gwo-Liang Liao Author-X-Name-First: Gwo-Liang Author-X-Name-Last: Liao Title: Optimal economic production quantity policy for randomly failing process with minimal repair, backorder and preventive maintenance Abstract: This study examines the feasibility of using an economic production quantity (EPQ) model incorporating maintenance and production programs to model an imperfect process involving a deteriorating production system. In response to failure, defective parts were produced and minimal repairs performed to create an in-control state. The conditions are studied in the case of the EPQ model undergoing a backorder owing to rejection of defective parts after a failure. Following production run period, two types of periodic preventive maintenance (PM) exist: imperfect and perfect. The probability of perfect PM being performed depends on the number of imperfect PM performed since the last renewal cycle. For the EPQ model, the optimal run time for minimising the total cost is discussed. Various special cases are considered, including the PM learning effect. Finally, this investigation presents a numerical example to illustrate the effects of PM ability, repair cost and defect number on total costs and production period. This study finds that enhancing maintenance ability reduces production related costs. The product system can be produced more efficiently using a PM program. Journal: International Journal of Systems Science Pages: 1602-1612 Issue: 9 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659702 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659702 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:9:p:1602-1612 Template-Type: ReDIF-Article 1.0 Author-Name: Weihua Deng Author-X-Name-First: Weihua Author-X-Name-Last: Deng Author-Name: Kang Li Author-X-Name-First: Kang Author-X-Name-Last: Li Author-Name: George Irwin Author-X-Name-First: George Author-X-Name-Last: Irwin Author-Name: Minrui Fei Author-X-Name-First: Minrui Author-X-Name-Last: Fei Title: Identification and control of Hammerstein systems via wireless networks Abstract: This article investigates a systematic approach for the identification and control of Hammerstein systems over a physical IEEE 802.11b wireless channel. Three major factors which may affect system stability and stabilisation are concerned: wireless network-induced delays, nonlinearity and model mismatch. First the network-induced delays are characterised by an inverse Gaussian distribution model according to IEEE 802.11b protocol and a model-based compensation method is used to estimate the delayed samples. Then an inverse function of nonlinear part of the identified model is used to attenuate the influence of nonlinearity, while the model mismatch is regarded as disturbance which is then dealt with by H∞ control approach. A sufficient condition for mean-square asymptotic stability is obtained and expressed by a set of linear matrix inequalities, enabling direct controller design. Finally, numerical simulation examples are used to confirm the efficacy of the proposed approach. Journal: International Journal of Systems Science Pages: 1613-1625 Issue: 9 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659703 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659703 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:9:p:1613-1625 Template-Type: ReDIF-Article 1.0 Author-Name: Shiping Wen Author-X-Name-First: Shiping Author-X-Name-Last: Wen Author-Name: Zhigang Zeng Author-X-Name-First: Zhigang Author-X-Name-Last: Zeng Title: Robust sampled-data output tracking control for a class of nonlinear networked systems with stochastic sampling Abstract: In this article, the problem of robust sampled-data H∞ output tracking control is investigated for a class of nonlinear networked systems with stochastic sampling and time-varying norm-bounded uncertainties. For the sake of technical simplicity, only two different sampling periods are considered, their occurrence probabilities are given constants and satisfy Bernoulli distribution, and can be extended to the case with multiple stochastic sampling periods. By the way of an input delay, the probabilistic system is transformed into a stochastic continuous time-delay system. A new linear matrix inequality-based procedure is proposed for designing state-feedback controllers, which would guarantee that the closed-loop networked system with stochastic sampling tracks the output of a given reference model well in the sense of H∞. Conservatism is reduced by taking the probability into account. Both network-induced delays and packet dropouts have been considered. Finally, an illustrative example is given to show the usefulness and effectiveness of the proposed H∞ output tracking design. Journal: International Journal of Systems Science Pages: 1626-1638 Issue: 9 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.659704 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659704 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:9:p:1626-1638 Template-Type: ReDIF-Article 1.0 Author-Name: P.K. Kapur Author-X-Name-First: P.K. Author-X-Name-Last: Kapur Author-Name: Hoang Pham Author-X-Name-First: Hoang Author-X-Name-Last: Pham Author-Name: Udayan Chanda Author-X-Name-First: Udayan Author-X-Name-Last: Chanda Author-Name: Vijay Kumar Author-X-Name-First: Vijay Author-X-Name-Last: Kumar Title: Optimal allocation of testing effort during testing and debugging phases: a control theoretic approach Abstract: Allocation of efforts to a software development project during the testing phase is a multifaceted task for software managers. The challenges become stiffer when the nature of the development process is considered in the dynamic environment. Many software reliability growth models have been proposed in last decade to minimise the total testing-effort expenditures, but mostly under static assumption. The main purpose of this article is to investigate an optimal resource allocation plan to minimise the cost of software during the testing and operational phase under dynamic condition. An elaborate optimisation policy based on the optimal control theory is proposed and numerical examples are illustrated. This article also studies the optimal resource allocation problems for various conditions by examining the behaviour of the model parameters and also suggests policy for the optimal release time of the software. The experimental results greatly help us to identify the contribution of each selected parameter and its weight. Journal: International Journal of Systems Science Pages: 1639-1650 Issue: 9 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.669861 File-URL: http://hdl.handle.net/10.1080/00207721.2012.669861 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:9:p:1639-1650 Template-Type: ReDIF-Article 1.0 Author-Name: M.P. Biswal Author-X-Name-First: M.P. Author-X-Name-Last: Biswal Author-Name: S. Acharya Author-X-Name-First: S. Author-X-Name-Last: Acharya Title: Multi-choice multi-objective mathematical programming model for integrated production planning: a case study Abstract: This article develops a multi-choice multi-objective linear programming model in order to solve an integrated production planning problem of a steel plant. The aim of the integrated production planning problem is to integrate the planning sub-functions into a single planning operation. The sub-functions are formulated by considering the capacity of different units of the plant, cost of raw materials from various territories, demands of customers in different geographical locations, time constraint for delivery the products, production cost and production rate at different stages of production process. Departure cost is also considered in the formulation of mathematical programming model. Some of the parameters are decided from a set of possible choices, therefore such parameters are considered as multi-choice type. Multi-choice mathematical programming problem cannot be solved directly. Therefore an equivalent multi-objective mathematical programming model is established in order to find the optimal solution of the problem. Computation of the mathematical programming model is performed with the practical production data of a plant to study the methodology. Journal: International Journal of Systems Science Pages: 1651-1665 Issue: 9 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.669862 File-URL: http://hdl.handle.net/10.1080/00207721.2012.669862 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:9:p:1651-1665 Template-Type: ReDIF-Article 1.0 Author-Name: X. Hong Author-X-Name-First: X. Author-X-Name-Last: Hong Author-Name: R.J. Mitchell Author-X-Name-First: R.J. Author-X-Name-Last: Mitchell Author-Name: S. Chen Author-X-Name-First: S. Author-X-Name-Last: Chen Title: System identification of Wiener systems with B-spline functions using De Boor recursion Abstract: In this article a simple and effective algorithm is introduced for the system identification of the Wiener system using observational input/output data. The nonlinear static function in the Wiener system is modelled using a B-spline neural network. The Gauss–Newton algorithm is combined with De Boor algorithm (both curve and the first order derivatives) for the parameter estimation of the Wiener model, together with the use of a parameter initialisation scheme. Numerical examples are utilised to demonstrate the efficacy of the proposed approach. Journal: International Journal of Systems Science Pages: 1666-1674 Issue: 9 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.669863 File-URL: http://hdl.handle.net/10.1080/00207721.2012.669863 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:9:p:1666-1674 Template-Type: ReDIF-Article 1.0 Author-Name: Kun-Jen Chung Author-X-Name-First: Kun-Jen Author-X-Name-Last: Chung Title: The EPQ model under conditions of two levels of trade credit and limited storage capacity in supply chain management Abstract: An inventory problem involves a lot of factors influencing inventory decisions. To understand it, the traditional economic production quantity (EPQ) model plays rather important role for inventory analysis. Although the traditional EPQ models are still widely used in industry, practitioners frequently question validities of assumptions of these models such that their use encounters challenges and difficulties. So, this article tries to present a new inventory model by considering two levels of trade credit, finite replenishment rate and limited storage capacity together to relax the basic assumptions of the traditional EPQ model to improve the environment of the use of it. Keeping in mind cost-minimisation strategy, four easy-to-use theorems are developed to characterise the optimal solution. Finally, the sensitivity analyses are executed to investigate the effects of the various parameters on ordering policies and the annual total relevant costs of the inventory system. Journal: International Journal of Systems Science Pages: 1675-1691 Issue: 9 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.669864 File-URL: http://hdl.handle.net/10.1080/00207721.2012.669864 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:9:p:1675-1691 Template-Type: ReDIF-Article 1.0 Author-Name: Yu-Chung Tsao Author-X-Name-First: Yu-Chung Author-X-Name-Last: Tsao Title: Combined production-maintenance decisions in situations with process deterioration Abstract: This article addresses an imperfect production system with process deterioration and how best to maintain the system. In the system there is a constant percentage to produce defective products in the ‘in-control’ state and a higher percentage to produce defective products in the ‘out-of-control’ state. The production process may shift randomly from an in-control state to an out-of-control state during a production run; i.e. system process deterioration. This article considers both preventive maintenance and corrective maintenance. The objective is to determine the optimal production run time and preventive maintenance frequency while still minimising the total annual cost. We provide two efficient algorithms for solving the problems when considering the preventive maintenance frequency as discrete and continuous, respectively. Finally, we apply a numerical analysis to study the effects of changing parameter values on the optimal solutions and to point out some management implications. Journal: International Journal of Systems Science Pages: 1692-1700 Issue: 9 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.669865 File-URL: http://hdl.handle.net/10.1080/00207721.2012.669865 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:9:p:1692-1700 Template-Type: ReDIF-Article 1.0 Author-Name: A.H. Tahoun Author-X-Name-First: A.H. Author-X-Name-Last: Tahoun Title: Output-feedback MRAC of networked control systems with packet dropout Abstract: In this article, a technique of output-feedback model reference adaptive control for networked control systems is developed. The key issues of networked control systems such as channel bandwidth and data-packets dropout induced by the insertion of data networks in the feedback adaptive control loops are considered. The advantage of this article over earlier ones is that the combination of different aspects in networked control systems, output-feedback model reference control of systems with unknown parameters, and unknown data-packets dropout. Error models, adaptive laws, and stability analysis are derived in the case of uncertainty due to data-packets dropout. The applicability of the approach is demonstrated in a practical numerical example of a ship-steering adaptive system. Journal: International Journal of Systems Science Pages: 1701-1710 Issue: 9 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.669866 File-URL: http://hdl.handle.net/10.1080/00207721.2012.669866 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:9:p:1701-1710 Template-Type: ReDIF-Article 1.0 Author-Name: Wei Ni Author-X-Name-First: Wei Author-X-Name-Last: Ni Author-Name: Chun Xiong Author-X-Name-First: Chun Author-X-Name-Last: Xiong Author-Name: Jie Yang Author-X-Name-First: Jie Author-X-Name-Last: Yang Title: Leader-following consensus of high-order multi-agent linear systems with bounded transmission channels Abstract: The leader-following consensus of high-order multi-agent linear systems with bounded transmission channels is considered. Agents modelled as LTI dynamics exchange information according to a network which can be described as a graph with agents as its vertices and information transmission channels as its edges. The transmission channels are bounded. The objective is leader-following in the sense that the state of all agents should converge to that of the leader vehicle. Detailed analysis of the leader-following consensus under bounded transmission channels is investigated for both fixed and switching network topologies. Journal: International Journal of Systems Science Pages: 1711-1725 Issue: 9 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.669867 File-URL: http://hdl.handle.net/10.1080/00207721.2012.669867 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:9:p:1711-1725 Template-Type: ReDIF-Article 1.0 Author-Name: Tengzhong Rong Author-X-Name-First: Tengzhong Author-X-Name-Last: Rong Author-Name: Zhi Xiao Author-X-Name-First: Zhi Author-X-Name-Last: Xiao Title: Nonparametric interval prediction of chaotic time series and its application to climatic system Abstract: This article is concerned with nonlinear time series analysis and it proposes an interval prediction method for chaotic time series. The selection algorithm for the number of neighbour points is introduced based on the local approximation technique of the classic chaotic time series model. The nonparametric statistics method is considered here, and we obtain an interval prediction for one or more steps under a certain confidence level assumption with the help of order statistics distribution. We also find a sufficient condition for the existence of such interval prediction, and a sufficient condition for the relationship between the number of neighbour points and the interval confidence level. In addition to the bootstrap multiple sample based on the selected neighbour points implemented on the computer, another interval prediction method is described too. We focus on the air pressure difference data from a climatic system and find that the series data has a positive Lyapunov exponent, which shows that it contains chaos. The application of the techniques on the data shows that both the interval predictions are reasonable in this data sample. Journal: International Journal of Systems Science Pages: 1726-1732 Issue: 9 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670287 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670287 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:9:p:1726-1732 Template-Type: ReDIF-Article 1.0 Author-Name: Toshio Yoshimura Author-X-Name-First: Toshio Author-X-Name-Last: Yoshimura Title: Discrete-time adaptive sliding mode control for uncertain systems based on multi-rate output measurement Abstract: This article presents the design of a discrete-time adaptive sliding mode control (SMC) for uncertain systems using the noisy multi-rate output measurement. It is assumed that the dynamic systems are described by a discrete-time state equation with mismatched uncertainties. The proposed discrete-time adaptive SMC is composed of the equivalent and the nonlinear switching controls, and it is derived based on a new sliding surface. A new least squares estimator (LSE) to take the estimates for the un-measurable states and the uncertainties is designed without the information of the statistics for the measurement noises and the initial state. In the design of the proposed discrete-time adaptive SMC, the un-measurable states and the uncertainties are, respectively, replaced as their estimates obtained from the proposed LSE, and the sliding coefficient matrices are selected such that the states for the systems are ultimately bounded, and the effect of the external disturbances to give the states is reduced as small as possible. The effectiveness of the proposed method is indicated through the simulation experiment in a simple system. Journal: International Journal of Systems Science Pages: 1733-1744 Issue: 9 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670288 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670288 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:9:p:1733-1744 Template-Type: ReDIF-Article 1.0 Author-Name: A. Ngaopitakkul Author-X-Name-First: A. Author-X-Name-Last: Ngaopitakkul Author-Name: S. Bunjongjit Author-X-Name-First: S. Author-X-Name-Last: Bunjongjit Title: An application of a discrete wavelet transform and a back-propagation neural network algorithm for fault diagnosis on single-circuit transmission line Abstract: This article proposes an application of the discrete wavelet transform (DWT) and back-propagation neural networks (BPNN) for fault diagnosis on single-circuit transmission line. ATP/EMTP is used to simulate fault signals. The mother wavelet daubechies4 (db4) is used to decompose the high-frequency component of these signals. In addition, characteristics of the fault current at various fault inception angles, fault locations and faulty phases are detailed. The DWT is employed in extracting the high frequency component contained in the fault currents, and the coefficients of the first scale from the DWT that can detect fault are investigated, and the decision algorithm is constructed based on the BPNN. The results show that the proposed technique provides satisfactory results. Journal: International Journal of Systems Science Pages: 1745-1761 Issue: 9 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670290 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670290 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:9:p:1745-1761 Template-Type: ReDIF-Article 1.0 Author-Name: Taonian Liang Author-X-Name-First: Taonian Author-X-Name-Last: Liang Author-Name: Jianjun Chen Author-X-Name-First: Jianjun Author-X-Name-Last: Chen Author-Name: Huihuang Zhao Author-X-Name-First: Huihuang Author-X-Name-Last: Zhao Title: Robust stability region of fractional order PI controller for fractional order interval plant Abstract: In this article, by using the fractional order PIλ controller, we propose a simple and effective method to compute the robust stability region for the fractional order linear time-invariant plant with interval type uncertainties in both fractional orders and relevant coefficients. The presented method is based on decomposing the fractional order interval plant into several vertex plants using the lower and upper bounds of the fractional orders and relevant coefficients and then constructing the characteristic quasi-polynomial of each vertex plant, in which the value set of vertex characteristic quasi-polynomial in the complex plane is a polygon. The D-decomposition method is used to characterise the stability boundaries of each vertex characteristic quasi-polynomial in the space of controller parameters, which can obtain the stability region by varying λ orders in the range (0, 2). These regions of each vertex plant are computed by using three stability boundaries: real root boundary (RRB), complex root boundary (CRB) and infinite root boundary (IRB). The method gives the explicit formulae corresponding to these boundaries in terms of fractional order PIλ controller parameters. Thus, the robust stability region for fractional order interval plant can be obtained by intersecting stability region of each vertex plant. The robustness of stability region is tested by the value set approach and zero exclusion principle. Our presented technique does not require sweeping over the parameters and also does not need linear programming to solve a set of inequalities. It also offers several advantages over existing results obtained in this direction. The method in this article is useful for analysing and designing the fractional order PIλ controller for the fractional order interval plant. An example is given to illustrate this method. Journal: International Journal of Systems Science Pages: 1762-1773 Issue: 9 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670291 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670291 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:9:p:1762-1773 Template-Type: ReDIF-Article 1.0 Author-Name: Chandra Jaggi Author-X-Name-First: Chandra Author-X-Name-Last: Jaggi Author-Name: Mandeep Mittal Author-X-Name-First: Mandeep Author-X-Name-Last: Mittal Author-Name: Aditi Khanna Author-X-Name-First: Aditi Author-X-Name-Last: Khanna Title: Effects of inspection on retailer's ordering policy for deteriorating items with time-dependent demand under inflationary conditions Abstract: In this article, an Economic Order Quantity (EOQ) model has been developed with unreliable supply, where each received lot may have random fraction of defective items with known distribution. Thus, the inspection of lot becomes essential in almost all the situations. Moreover, its role becomes more significant when the items are deteriorating in nature. It is assumed that defective items are salvaged as a single batch after the screening process. Further, it has been observed that the demand as well as price for certain consumer items increases linearly with time, especially under inflationary conditions. Owing to this fact, this article investigates the impact of defective items on retailer's ordering policy for deteriorating items under inflation when both demand and price vary with the passage of time. The proposed model optimises the order quantity by maximising the retailer's expected profit. Results are demonstrated with the help of a numerical example and the sensitivity analysis is also presented to provide managerial insights into practice. Journal: International Journal of Systems Science Pages: 1774-1782 Issue: 9 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.704088 File-URL: http://hdl.handle.net/10.1080/00207721.2012.704088 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:9:p:1774-1782 Template-Type: ReDIF-Article 1.0 Author-Name: Alkan Alkaya Author-X-Name-First: Alkan Author-X-Name-Last: Alkaya Author-Name: Michael John Grimble Author-X-Name-First: Michael Author-X-Name-Last: John Grimble Title: Experimental application of nonlinear minimum variance estimation for fault detection systems Abstract: The purpose of this paper is to present an experimental design and application of a novel model-based fault detection technique by using a nonlinear minimum variance (NMV) estimator. The NMV estimation technique is used to generate a residual signal which is then used to detect faults in the system. The main advantage of the approach is the simplicity of the nonlinear estimator theory and the straightforward structure of the resulting solution. The proposed method is implemented and validated experimentally on DC servo system. Experimental results demonstrate that the technique can produce acceptable performance in terms of fault detection and false alarm. Journal: International Journal of Systems Science Pages: 3055-3063 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2014.971091 File-URL: http://hdl.handle.net/10.1080/00207721.2014.971091 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:3055-3063 Template-Type: ReDIF-Article 1.0 Author-Name: Zhengxian Jiang Author-X-Name-First: Zhengxian Author-X-Name-Last: Jiang Author-Name: Baotong Cui Author-X-Name-First: Baotong Author-X-Name-Last: Cui Author-Name: Xuyang Lou Author-X-Name-First: Xuyang Author-X-Name-Last: Lou Title: Distributed consensus estimation for diffusion systems with missing measurements over sensor networks Abstract: In this paper, the problem of distributed consensus estimation with randomly missing measurements is investigated for a diffusion system over the sensor network. A random variable, the probability of which is known a priori, is used to model the randomly missing phenomena for each sensor. The aim of the addressed estimation problem is to design distributed consensus estimators depending on the neighbouring information such that, for all random measurement missing, the estimation error systems are guaranteed to be globally asymptotically stable in the mean square. By using Lyapunov functional method and the stochastic analysis approach, the sufficient conditions are derived for the convergence of the estimation error systems. Finally, a numerical example is given to demonstrate the effectiveness of the proposed distributed consensus estimator design scheme. Journal: International Journal of Systems Science Pages: 2753-2761 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1021289 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1021289 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2753-2761 Template-Type: ReDIF-Article 1.0 Author-Name: Zs. Lendek Author-X-Name-First: Zs. Author-X-Name-Last: Lendek Author-Name: P. Raica Author-X-Name-First: P. Author-X-Name-Last: Raica Author-Name: J. Lauber Author-X-Name-First: J. Author-X-Name-Last: Lauber Author-Name: T.M. Guerra Author-X-Name-First: T.M. Author-X-Name-Last: Guerra Title: Finding a stabilising switching law for switching nonlinear models Abstract: This paper considers the stabilisation of switching nonlinear models by switching between the subsystems. We assume that arbitrary switching between two subsystems is possible once a subsystem has been active for a predefined number of samples. We use a Takagi–Sugeno representation of the models and a switching Lyapunov function is employed to develop sufficient stability conditions. If the conditions are satisfied, we construct a switching law that stabilises the system. The application of the conditions is illustrated in several examples. Journal: International Journal of Systems Science Pages: 2762-2772 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1021290 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1021290 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2762-2772 Template-Type: ReDIF-Article 1.0 Author-Name: Xudong Zhao Author-X-Name-First: Xudong Author-X-Name-Last: Zhao Author-Name: Yunfei Yin Author-X-Name-First: Yunfei Author-X-Name-Last: Yin Author-Name: Jun Shen Author-X-Name-First: Jun Author-X-Name-Last: Shen Title: Reset stabilisation of positive linear systems Abstract: In this paper, the problems of reset stabilisation for positive linear systems (PLSs) are investigated. Some properties relating to reset control of PLSs are first revealed. It is shown that these properties are different from the corresponding ones of general linear systems. Second, a class of periodic reset scheme is designed to exponentially stabilise an unstable PLS with a prescribed decay rate. Then, for a given PLS with reset control, some discussions on the upper bound of its decay rate are presented. Meanwhile, the reset stabilisation for PLSs in a special case is probed as well. Finally, two numerical examples are used to demonstrate the correctness and effectiveness of the obtained theoretical results. Journal: International Journal of Systems Science Pages: 2773-2782 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1022889 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1022889 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2773-2782 Template-Type: ReDIF-Article 1.0 Author-Name: Bo Wang Author-X-Name-First: Bo Author-X-Name-Last: Wang Author-Name: Hongbin Zhang Author-X-Name-First: Hongbin Author-X-Name-Last: Zhang Author-Name: Gang Wang Author-X-Name-First: Gang Author-X-Name-Last: Wang Author-Name: Chuangyin Dang Author-X-Name-First: Chuangyin Author-X-Name-Last: Dang Title: Asynchronous filtering for linear switched systems with average dwell time Abstract: This paper is concerned with the H∞ filtering problem for a class of continuous-time linear switched systems with the asynchronous behaviours, where ‘asynchronous’ means that the switching of the filters to be designed has a lag to the switching of the system modes. By using the Lyapunov-like functions and the average dwell time technique, a sufficient condition is obtained to guarantee the asymptotic stability with a weighted H∞ performance index for the filtering error system. Moreover, the results are formulated in the form of linear matrix inequalities that are numerical feasible. As a result, the filter design problem is solved. Finally, an illustrative numerical example is presented to show the effectiveness of the results. Journal: International Journal of Systems Science Pages: 2783-2791 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1023758 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1023758 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2783-2791 Template-Type: ReDIF-Article 1.0 Author-Name: Andrej Sarjaš Author-X-Name-First: Andrej Author-X-Name-Last: Sarjaš Author-Name: Amor Chowdhury Author-X-Name-First: Amor Author-X-Name-Last: Chowdhury Author-Name: Rajko Svečko Author-X-Name-First: Rajko Author-X-Name-Last: Svečko Title: Multi-criteria optimal pole assignment robust controller design for uncertainty systems using an evolutionary algorithm Abstract: This paper presents the synthesis of an optimal robust controller design using the polynomial pole placement technique and multi-criteria optimisation procedure via an evolutionary computation algorithm – differential evolution. The main idea of the design is to provide a reliable fixed-order robust controller structure and an efficient closed-loop performance with a preselected nominally characteristic polynomial. The multi-criteria objective functions have quasi-convex properties that significantly improve convergence and the regularity of the optimal/sub-optimal solution. The fundamental aim of the proposed design is to optimise those quasi-convex functions with fixed closed-loop characteristic polynomials, the properties of which are unrelated and hard to present within formal algebraic frameworks. The objective functions are derived from different closed-loop criteria, such as robustness with metric H${\cal H}$∞, time performance indexes, controller structures, stability properties, etc. Finally, the design results from the example verify the efficiency of the controller design and also indicate broader possibilities for different optimisation criteria and control structures. Journal: International Journal of Systems Science Pages: 2792-2807 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1024188 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1024188 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2792-2807 Template-Type: ReDIF-Article 1.0 Author-Name: Youming Xin Author-X-Name-First: Youming Author-X-Name-Last: Xin Author-Name: Yuxia Li Author-X-Name-First: Yuxia Author-X-Name-Last: Li Title: Observer-based consensus in networks of discrete-time switched linear dynamics under a fixed topology Abstract: This paper considers the consensus problem of discrete-time switched linear multi-agent systems under a fixed communication topology. An observer-based protocol with sampled data is proposed for solving such a problem. Assume that the digraph has a directed spanning tree and that all switched subsystem of each agent are stabilisable and detectable. It is shown that the proposed protocol solves the consensus problem when the sampling period is sufficiently small and the average dwell time of the switching signal is sufficiently large. Moreover, to reduce the conservatism, a sufficient condition for consensus is obtained to design the feedback gain matrices and the observer gain matrices by linear matrix inequalities, which guarantee that consensus can be achieved when the sampling period and the average dwell time are in the general case. Finally, the effectiveness of the theoretical results is demonstrated through an example. Journal: International Journal of Systems Science Pages: 2808-2815 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1024189 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1024189 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2808-2815 Template-Type: ReDIF-Article 1.0 Author-Name: Hansheng Wu Author-X-Name-First: Hansheng Author-X-Name-Last: Wu Title: Decentralised robust stabilisation of uncertain large-scale interconnected time-delay systems with unknown upper bounds of uncertainties Abstract: The problem of decentralised robust stabilisation is considered for a class of uncertain large-scale time-delay interconnected dynamical systems. In the paper, the upper bounds of delayed state perturbations, uncertainties, interconnection terms, and external disturbances are assumed to be completely unknown, and the delays are assumed to be any non-negative constants. For such a class of uncertain large-scale time-delay interconnected systems, a new method is presented whereby a class of adaptation-free decentralised local robust state feedback controllers can be constructed. In addition, it is also shown that the solutions of uncertain large-scale time-delay interconnected systems can be guaranteed to be uniformly ultimately bounded. Finally, as an application to the practical mechanical systems, some simulations of a numerical example are provided to demonstrate the validity of the theoretical results. Journal: International Journal of Systems Science Pages: 2816-2826 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1029569 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1029569 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2816-2826 Template-Type: ReDIF-Article 1.0 Author-Name: Ning Li Author-X-Name-First: Ning Author-X-Name-Last: Li Author-Name: Jinde Cao Author-X-Name-First: Jinde Author-X-Name-Last: Cao Title: Passivity and robust synchronisation of switched interval coupled neural networks with time delay Abstract: This paper is concerned with passivity and robust synchronisation of switched coupled neural networks with uncertain parameters. First, the mathematical model of switched coupled neural networks with interval uncertain parameters is established, which consists of L modes and switches from one mode to another according to the switching rule. Second, by employing passivity theory and linear matrix inequality techniques, delay-independent and delay-dependent conditions are derived to guarantee the passivity of switched interval coupled neural networks. Moreover, based on the proposed passivity results, global synchronisation criteria can be obtained for switched coupled neural networks with or without uncertain parameters. Finally, an illustrative example is provided to demonstrate the effectiveness of the obtained results. Journal: International Journal of Systems Science Pages: 2827-2836 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1029570 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1029570 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2827-2836 Template-Type: ReDIF-Article 1.0 Author-Name: Hao Su Author-X-Name-First: Hao Author-X-Name-Last: Su Author-Name: Gong-You Tang Author-X-Name-First: Gong-You Author-X-Name-Last: Tang Title: Observer-based approximate optimal tracking control for time-delay systems with external disturbances Abstract: This paper proposes a successive approximation design approach of observer-based optimal tracking controllers for time-delay systems with external disturbances. To solve a two-point boundary value problem with time-delay and time-advance terms and obtain the optimal tracking control law, two sequences of vector differential equations are constructed first. Second, the convergence of the sequences of the vector differential equations is proved to guarantee the existence and uniqueness of the control law. Third, a design algorithm of the optimal tracking control law is presented and the physically realisable problem is addressed by designing a disturbance state observer and a reference input state observer. An example of an industrial electric heater is given to demonstrate the efficiency of the proposed approach. Journal: International Journal of Systems Science Pages: 2837-2846 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1034300 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1034300 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2837-2846 Template-Type: ReDIF-Article 1.0 Author-Name: John Roth Author-X-Name-First: John Author-X-Name-Last: Roth Author-Name: Murali Tummala Author-X-Name-First: Murali Author-X-Name-Last: Tummala Author-Name: John McEachen Author-X-Name-First: John Author-X-Name-Last: McEachen Title: A computationally efficient approach for hidden-Markov model-augmented fingerprint-based positioning Abstract: This paper presents a computationally efficient approach for mobile subscriber position estimation in wireless networks. A method of data scaling assisted by timing adjust is introduced in fingerprint-based location estimation under a framework which allows for minimising computational cost. The proposed method maintains a comparable level of accuracy to the traditional case where no data scaling is used and is evaluated in a simulated environment under varying channel conditions. The proposed scheme is studied when it is augmented by a hidden-Markov model to match the internal parameters to the channel conditions that present, thus minimising computational cost while maximising accuracy. Furthermore, the timing adjust quantity, available in modern wireless signalling messages, is shown to be able to further reduce computational cost and increase accuracy when available. The results may be seen as a significant step towards integrating advanced position-based modelling with power-sensitive mobile devices. Journal: International Journal of Systems Science Pages: 2847-2858 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1034301 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1034301 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2847-2858 Template-Type: ReDIF-Article 1.0 Author-Name: Bo Hou Author-X-Name-First: Bo Author-X-Name-Last: Hou Author-Name: Fuchun Sun Author-X-Name-First: Fuchun Author-X-Name-Last: Sun Author-Name: Hongbo Li Author-X-Name-First: Hongbo Author-X-Name-Last: Li Author-Name: Yao Chen Author-X-Name-First: Yao Author-X-Name-Last: Chen Author-Name: Jianxiang Xi Author-X-Name-First: Jianxiang Author-X-Name-Last: Xi Title: Cluster consensus of high-order multi-agent systems with switching topologies Abstract: This paper investigates the cluster consensus problems of generic linear multi-agent systems with switching topologies. Sufficient criteria for cluster consensus, which generalise the results in existing literatures, are derived for both state feedback and observer-based control schemes. By using an averaging method, it is shown that cluster consensus can be achieved when the union of the acyclic topologies contains a directed spanning tree within each cluster frequently enough. We also provide a principle to construct digraphs with inter-cluster cyclic couplings that promote cluster consensus regardless of the magnitude of inter-agent coupling weights. Finally, numerical examples are given to demonstrate the effectiveness of the proposed approaches. Journal: International Journal of Systems Science Pages: 2859-2868 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1034302 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1034302 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2859-2868 Template-Type: ReDIF-Article 1.0 Author-Name: Xin-Rong Yang Author-X-Name-First: Xin-Rong Author-X-Name-Last: Yang Author-Name: Guo-Ping Liu Author-X-Name-First: Guo-Ping Author-X-Name-Last: Liu Title: Admissible consensus for heterogeneous descriptor multi-agent systems Abstract: This paper focuses on the admissible consensus problem for heterogeneous descriptor multi-agent systems. Based on algebra, graph and descriptor system theory, the necessary and sufficient conditions are proposed for heterogeneous descriptor multi-agent systems achieving admissible consensus. The provided conditions depend on not only the structure properties of each agent dynamics but also the topologies within the descriptor multi-agent systems. Moreover, an algorithm is given to design the novel consensus protocol. A numerical example demonstrates the effectiveness of the proposed design approach. Journal: International Journal of Systems Science Pages: 2869-2877 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1034303 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1034303 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2869-2877 Template-Type: ReDIF-Article 1.0 Author-Name: Chih-Chiang Fang Author-X-Name-First: Chih-Chiang Author-X-Name-Last: Fang Author-Name: Chun-Wu Yeh Author-X-Name-First: Chun-Wu Author-X-Name-Last: Yeh Title: Effective confidence interval estimation of fault-detection process of software reliability growth models Abstract: The quantitative evaluation of software reliability growth model is frequently accompanied by its confidence interval of fault detection. It provides helpful information to software developers and testers when undertaking software development and software quality control. However, the explanation of the variance estimation of software fault detection is not transparent in previous studies, and it influences the deduction of confidence interval about the mean value function that the current study addresses. Software engineers in such a case cannot evaluate the potential hazard based on the stochasticity of mean value function, and this might reduce the practicability of the estimation. Hence, stochastic differential equations are utilised for confidence interval estimation of the software fault-detection process. The proposed model is estimated and validated using real data-sets to show its flexibility. Journal: International Journal of Systems Science Pages: 2878-2892 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1036474 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1036474 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2878-2892 Template-Type: ReDIF-Article 1.0 Author-Name: Hanyong Shao Author-X-Name-First: Hanyong Author-X-Name-Last: Shao Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Author-Name: Zhiguang Feng Author-X-Name-First: Zhiguang Author-X-Name-Last: Feng Title: Sampling-interval-dependent stability for linear sampled-data systems with non-uniform sampling Abstract: This paper is concerned with the sampling-interval-dependent stability of linear sampled-data systems with non-uniform sampling. A new Lyapunov-like functional is constructed to derive sampling-interval-dependent stability results. The Lyapunov-like functional has three features. First, it depends on time explicitly. Second, it may be discontinuous at the sampling instants. Third, it is not required to be positive definite between sampling instants. Moreover, the new Lyapunov-like functional can make use of the information fully of the sampled-data system, including that of both ends of the sampling interval. By making a new proposition for the Lyapunov-like functional, a sampling-interval-dependent stability criterion with reduced conservatism is derived. The new sampling-interval-dependent stability criterion is further extended to linear sampled-data systems with polytopic uncertainties. Finally, examples are given to illustrate the reduced conservatism of the stability criteria. Journal: International Journal of Systems Science Pages: 2893-2900 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1036475 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1036475 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2893-2900 Template-Type: ReDIF-Article 1.0 Author-Name: Zhao Li Author-X-Name-First: Zhao Author-X-Name-Last: Li Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Title: Dominant pole and eigenstructure assignment for positive systems with state feedback Abstract: In this paper, the dominant pole assignment problem, the dominant eigenstructure assignment problem and the robust dominant pole assignment problem for linear time-invariant positive systems with state feedback are considered. The dominant pole assignment problem is formulated as a linear programming problem, and the dominant eigenstructure problem is formulated as a quasiconvex optimisation problem with linear constraints. The robust dominant pole assignment problem is formulated as a non-convex optimisation problem with non-linear constraints which is solved using particle swarm optimisation (PSO) with an efficient scheme which employs the dominant eigenstructure assignment technique to accelerate the convergence of the PSO procedure. Each of the three problems can be further constrained by requiring that the controller has a pre-specified structure, or the gain matrix have both elementwise upper and lower bounds. These constraints can be incorporated into the proposed scheme without increasing the complexity of the algorithms. Both the continuous-time case and the discrete-time case are treated in the paper. Journal: International Journal of Systems Science Pages: 2901-2912 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1036477 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1036477 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2901-2912 Template-Type: ReDIF-Article 1.0 Author-Name: Baris Bidikli Author-X-Name-First: Baris Author-X-Name-Last: Bidikli Author-Name: Enver Tatlicioglu Author-X-Name-First: Enver Author-X-Name-Last: Tatlicioglu Author-Name: Erkan Zergeroglu Author-X-Name-First: Erkan Author-X-Name-Last: Zergeroglu Author-Name: Alper Bayrak Author-X-Name-First: Alper Author-X-Name-Last: Bayrak Title: An asymptotically stable robust controller formulation for a class of MIMO nonlinear systems with uncertain dynamics Abstract: In this work, we present a novel continuous robust controller for a class of multi-input/multi-output nonlinear systems that contains unstructured uncertainties in their drift vectors and input matrices. The proposed controller compensates uncertainties in the system dynamics and achieves asymptotic tracking while requiring only the knowledge of the sign of the leading principal minors of the input gain matrix. A Lyapunov-based argument backed up with an integral inequality is applied to prove the asymptotic stability of the closed-loop system. Simulation results are presented to illustrate the viability of the proposed method. Journal: International Journal of Systems Science Pages: 2913-2924 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1039627 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1039627 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2913-2924 Template-Type: ReDIF-Article 1.0 Author-Name: Zhi-Hua Xiao Author-X-Name-First: Zhi-Hua Author-X-Name-Last: Xiao Author-Name: Yao-Lin Jiang Author-X-Name-First: Yao-Lin Author-X-Name-Last: Jiang Title: Multi-order Arnoldi-based model order reduction of second-order time-delay systems Abstract: In this paper, we discuss the Krylov subspace-based model order reduction methods of second-order systems with time delays, and present two structure-preserving methods for model order reduction of these second-order systems, which avoid to convert the second-order systems into first-order ones. One method is based on a Krylov subspace by using the Taylor series expansion, the other method is based on the Laguerre series expansion. These two methods are used in the multi-order Arnoldi algorithm to construct the projection matrices. The resulting reduced models can not only preserve the structure of the original systems, but also can match a certain number of approximate moments or Laguerre expansion coefficients. The effectiveness of the proposed methods is demonstrated by two numerical examples. Journal: International Journal of Systems Science Pages: 2925-2934 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1042087 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1042087 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2925-2934 Template-Type: ReDIF-Article 1.0 Author-Name: Juan Wang Author-X-Name-First: Juan Author-X-Name-Last: Wang Author-Name: Jun Zhao Author-X-Name-First: Jun Author-X-Name-Last: Zhao Title: Robust stabilisation and -gain analysis for switched systems with actuator saturation under asynchronous switching Abstract: Robust stabilisation and L2-gain analysis for a class of switched systems with actuator saturation are studied in this paper. The switching signal of the controllers lags behind that of the system modes, which leads to the asynchronous switching between the candidate controllers and the subsystems. By combining the piecewise Lyapunov function method with the convex hull technique, sufficient conditions in terms of LMIs for the solvability of the robust stabilisation and weighted L2-gain problems are presented respectively under the dwell time scheme. Finally, a numerical example is given to demonstrate the feasibility and effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 2935-2944 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1049301 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1049301 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2935-2944 Template-Type: ReDIF-Article 1.0 Author-Name: Mingzhe Hou Author-X-Name-First: Mingzhe Author-X-Name-Last: Hou Author-Name: Zongquan Deng Author-X-Name-First: Zongquan Author-X-Name-Last: Deng Author-Name: Guangren Duan Author-X-Name-First: Guangren Author-X-Name-Last: Duan Title: Finite-time filtering for non-linear stochastic systems Abstract: This paper describes the robust H∞ filtering analysis and the synthesis of general non-linear stochastic systems with finite settling time. We assume that the system dynamic is modelled by Itô-type stochastic differential equations of which the state and the measurement are corrupted by state-dependent noises and exogenous disturbances. A sufficient condition for non-linear stochastic systems to have the finite-time H∞ performance with gain less than or equal to a prescribed positive number is established in terms of a certain Hamilton–Jacobi inequality. Based on this result, the existence of a finite-time H∞ filter is given for the general non-linear stochastic system by a second-order non-linear partial differential inequality, and the filter can be obtained by solving this inequality. The effectiveness of the obtained result is illustrated by a numerical example. Journal: International Journal of Systems Science Pages: 2945-2953 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1049302 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1049302 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2945-2953 Template-Type: ReDIF-Article 1.0 Author-Name: Sheng-Juan Huang Author-X-Name-First: Sheng-Juan Author-X-Name-Last: Huang Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Non-fragile dynamic output feedback control for uncertain Takagi–Sugeno fuzzy systems with time-varying delay Abstract: This paper mainly focuses on the problem of non-fragile H∞ dynamic output feedback control for a class of uncertain Takagi–Sugeno fuzzy systems with time-varying state delay. Based on a new type of Lyapunov–Krasovskii functional without ignoring any subtle integral terms in the derivatives, a less conservative dynamic output feedback controller with additive gain variations is designed, which guarantees that the closed-loop fuzzy system is asymptotically stable and satisfies a prescribed H∞-performance level. Furthermore, the obtained parameter-dependent conditions are given in terms of solution to a set of linear matrix inequalities, which improve some existing relevant results. Finally, numerical examples are given to illustrate the effectiveness and merits of the proposed method. Journal: International Journal of Systems Science Pages: 2954-2964 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1053829 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1053829 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2954-2964 Template-Type: ReDIF-Article 1.0 Author-Name: Jun Zhou Author-X-Name-First: Jun Author-X-Name-Last: Zhou Author-Name: Xinbiao Lu Author-X-Name-First: Xinbiao Author-X-Name-Last: Lu Author-Name: Huimin Qian Author-X-Name-First: Huimin Author-X-Name-Last: Qian Title: Controllability discrepancy and irreducibility/reducibility of Floquet factorisations in linear continuous-time periodic systems Abstract: The paper reports interesting but unnoticed facts about irreducibility (resp., reducibility) of Flouqet factorisations and their harmonic implication in term of controllability in finite-dimensional linear continuous-time periodic (FDLCP) systems. Reducibility and irreducibility are attributed to matrix logarithm algorithms during computing Floquet factorisations in FDLCP systems, which are a pair of essential features but remain unnoticed in the Floquet theory so far. The study reveals that reducible Floquet factorisations may bring in harmonic waves variance into the Fourier analysis of FDLCP systems that in turn may alter our interpretation of controllability when the Floquet factors are used separately during controllability testing; namely, controllability interpretation discrepancy (or simply, controllability discrepancy) may occur and must be examined whenever reducible Floquet factorisations are involved. On the contrary, when irreducible Floquet factorisations are employed, controllability interpretation discrepancy can be avoided. Examples are included to illustrate such observations. Journal: International Journal of Systems Science Pages: 2965-2974 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1053830 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1053830 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2965-2974 Template-Type: ReDIF-Article 1.0 Author-Name: Sabir Djaidja Author-X-Name-First: Sabir Author-X-Name-Last: Djaidja Author-Name: Qinghe Wu Author-X-Name-First: Qinghe Author-X-Name-Last: Wu Title: Consensus seeking in multi-agent systems with noisy and delayed communication in digraphs having spanning tree Abstract: This paper studies the consensus problem of continuous-time single-integrator multi-agent systems with measurement noises and time delays under directed fixed topologies. Each agent in the team receives imprecise and delayed information from its neighbours. The noises are considered white noises, and time delays are assumed to be uniform for all the received information states. An analysis framework based on graph theory and stochastic tools is followed to derive conditions under which the asymptotic unbiased mean square linear χ-consensus is achieved in directed fixed topologies having a spanning tree. Then, conditions to achieve asymptotic unbiased mean square average consensus are deduced for fixed balanced digraphs having a spanning tree. The effectiveness of the proposed algorithms is proved through some simulations. Journal: International Journal of Systems Science Pages: 2975-2984 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1053831 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1053831 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2975-2984 Template-Type: ReDIF-Article 1.0 Author-Name: Jun Song Author-X-Name-First: Jun Author-X-Name-Last: Song Author-Name: Yugang Niu Author-X-Name-First: Yugang Author-X-Name-Last: Niu Author-Name: Tinggang Jia Author-X-Name-First: Tinggang Author-X-Name-Last: Jia Title: Input–output finite-time stabilisation of nonlinear stochastic system with missing measurements Abstract: This paper considers the problem of the input–output finite-time stabilisation for a class of nonlinear stochastic system with state-dependent noise. The phenomenon of the missing measurements may occur when state signals are transmitted via communication networks. An estimating method is proposed to compensate the lost state information. And then, a compensator-based controller is designed to ensure the input–output finite-time stochastic stability (IO-FTSS) of the closed-loop system. Some parameters-dependent sufficient conditions are derived and the corresponding solving approach is given. Finally, numerical simulations are provided to demonstrate the feasibility and effectiveness of the developed IO-FTSS scheme. Journal: International Journal of Systems Science Pages: 2985-2995 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1053832 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1053832 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2985-2995 Template-Type: ReDIF-Article 1.0 Author-Name: Fangfei Li Author-X-Name-First: Fangfei Author-X-Name-Last: Li Title: Feedback control design for the complete synchronisation of two coupled Boolean networks Abstract: In the literatures, to design state feedback controllers to make the response Boolean network synchronise with the drive Boolean network is rarely considered. Motivated by this, feedback control design for the complete synchronisation of two coupled Boolean networks is investigated in this paper. A necessary condition for the existence of a state feedback controller achieving the complete synchronisation is established first. Then, based on the necessary condition, the feedback control law is proposed. Finally, an example is worked out to illustrate the proposed design procedure. Journal: International Journal of Systems Science Pages: 2996-3003 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1053834 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1053834 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:2996-3003 Template-Type: ReDIF-Article 1.0 Author-Name: Abdelaziz Hmamed Author-X-Name-First: Abdelaziz Author-X-Name-Last: Hmamed Author-Name: Said Kririm Author-X-Name-First: Said Author-X-Name-Last: Kririm Author-Name: Abdellah Benzaouia Author-X-Name-First: Abdellah Author-X-Name-Last: Benzaouia Author-Name: Fernando Tadeo Author-X-Name-First: Fernando Author-X-Name-Last: Tadeo Title: Delay-dependent stability and stabilisation of continuous 2D delayed systems with saturating control Abstract: This paper deals with the stabilisation problem of continuous two-dimensional (2D) delayed systems, in the presence of saturations on the control signals. For this, a new delay decomposition approach is proposed to deal with the stability and stabilisation issues. The idea is that the range of variation of each delay is divided into segments, and a specific Lyapunov– Krasovskii functional is used that contains different weight matrices in each segment. Then, based on this approach, new delay-dependent stability and stabilisation criteria for continuous 2D delayed systems are derived. These criteria are less conservative and include some existing results as special cases. Some numerical examples are provided to show that a significant improvement is achieved using the proposed approach. Journal: International Journal of Systems Science Pages: 3004-3015 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1063172 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1063172 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:3004-3015 Template-Type: ReDIF-Article 1.0 Author-Name: Ning Jiang Author-X-Name-First: Ning Author-X-Name-Last: Jiang Author-Name: Junlin Xiong Author-X-Name-First: Junlin Author-X-Name-Last: Xiong Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Title: Robust stabilisation of time-varying delay systems with probabilistic uncertainties Abstract: For robust stabilisation of time-varying delay systems, only sufficient conditions are available to date. A natural question is as follows: if the existing sufficient conditions are not satisfied, and hence no controllers can be found, what can one do to improve the stability performance of time-varying delay systems? This question is addressed in this paper when there is a probabilistic structure on the parameter uncertainty set. A randomised algorithm is proposed to design a state-feedback controller, which stabilises the system over the uncertainty domain in a probabilistic sense. The capability of the designed controller is quantified by the probability of stability of the resulting closed-loop system. The accuracy of the solution obtained from the randomised algorithm is also analysed. Finally, numerical examples are used to illustrate the effectiveness and advantages of the developed controller design approach. Journal: International Journal of Systems Science Pages: 3016-3026 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1063173 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1063173 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:3016-3026 Template-Type: ReDIF-Article 1.0 Author-Name: Wenping Xue Author-X-Name-First: Wenping Author-X-Name-Last: Xue Author-Name: Kangji Li Author-X-Name-First: Kangji Author-X-Name-Last: Li Author-Name: Guohai Liu Author-X-Name-First: Guohai Author-X-Name-Last: Liu Title: DDI-based finite-time stability analysis for nonlinear switched systems with time-varying delays Abstract: This paper investigates the finite-time stability (FTS) analysis problem for switched systems with both nonlinear perturbation and time-varying delays. For the system to be finite-time stable, a sufficient condition is proposed based on some delay differential inequalities (DDIs), rather than the Lyapunov-like functions which are commonly used in the FTS analysis of switched systems. Compared with the Lyapunov-like function method, the FTS conditions based on the DDI method are easier for checking and do not require FTS of each subsystem. Two examples are given to illustrate the effectiveness of the developed theory. Journal: International Journal of Systems Science Pages: 3027-3035 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1066899 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1066899 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:3027-3035 Template-Type: ReDIF-Article 1.0 Author-Name: Hai-Lin Liu Author-X-Name-First: Hai-Lin Author-X-Name-Last: Liu Author-Name: Gong-You Tang Author-X-Name-First: Gong-You Author-X-Name-Last: Tang Author-Name: Xue Yang Author-X-Name-First: Xue Author-X-Name-Last: Yang Title: Minimum-energy control for time-varying systems with multiple state and input delays Abstract: This paper considers the minimum-energy control problem for a class of time-varying systems with multiple state and input delays. First, a state transform matrix is presented. By using the transform matrix, a system with multiple state and input delays is converted to a formal equivalent one without delay. Then, the optimal problem of the novel system is solved by using the maximum principle. Analytical expressions of the optimal control law and optimal performance are given by two formulas with respect to the state transform matrix. At last, an algorithm is given to solve the analytical expression of the state transform matrix. Simulation results show that the design algorithm is efficient and easy to implement. Journal: International Journal of Systems Science Pages: 3036-3043 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1068883 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1068883 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:3036-3043 Template-Type: ReDIF-Article 1.0 Author-Name: Yuzhu Guo Author-X-Name-First: Yuzhu Author-X-Name-Last: Guo Author-Name: Ling Zhong Guo Author-X-Name-First: Ling Zhong Author-X-Name-Last: Guo Author-Name: Stephen A. Billings Author-X-Name-First: Stephen A. Author-X-Name-Last: Billings Author-Name: Hua-Liang Wei Author-X-Name-First: Hua-Liang Author-X-Name-Last: Wei Title: Identification of continuous-time models for nonlinear dynamic systems from discrete data Abstract: A new iOFR-MF (iterative orthogonal forward regression--modulating function) algorithm is proposed to identify continuous-time models from noisy data by combining the MF method and the iOFR algorithm. In the new method, a set of candidate terms, which describe different dynamic relationships among the system states or between the input and output, are first constructed. These terms are then modulated using the MF method to generate the data matrix. The iOFR algorithm is next applied to build the relationships between these modulated terms, which include detecting the model structure and estimating the associated parameters. The relationships between the original variables are finally recovered from the model of the modulated terms. Both nonlinear state-space models and a class of higher order nonlinear input–output models are considered. The new direct method is compared with the traditional finite difference method and results show that the new method performs much better than the finite difference method. The new method works well even when the measurements are severely corrupted by noise. The selection of appropriate MFs is also discussed. Journal: International Journal of Systems Science Pages: 3044-3054 Issue: 12 Volume: 47 Year: 2016 Month: 9 X-DOI: 10.1080/00207721.2015.1069906 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1069906 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:3044-3054 Template-Type: ReDIF-Article 1.0 Author-Name: Khaled Nouri Author-X-Name-First: Khaled Author-X-Name-Last: Nouri Author-Name: Hichem Loussifi Author-X-Name-First: Hichem Author-X-Name-Last: Loussifi Author-Name: Naceur Benhadj Braiek Author-X-Name-First: Naceur Benhadj Author-X-Name-Last: Braiek Title: A comparative study on the identification of the dynamical model of multi-mass electrical drives using wavelet transforms Abstract: This paper deals with dynamical modelling and modal identification of a special class of electromechanical systems: the multi-mass electrical drives. The aim of the work is to investigate the usefulness and the performance of the continuous wavelet transform (CWT) for the estimation of modal parameters, such as damping ratios and natural frequencies of these electromechanical systems. For this investigation, two models of elastic drive systems are considered: the two-mass and the three-mass models. The modal analysis identification using CWT is compared to the Hilbert–Huang transform technique and evaluated in terms of accuracy and ability to estimate modal parameters with different inputs, aptitude to distinguish several modes especially in the case of closely spaced modes and resistance to noisy conditions. In view of the results of the study, the advantages and shortcomings of each technique are presented and discussed. Journal: International Journal of Systems Science Pages: 2223-2241 Issue: 11 Volume: 45 Year: 2014 Month: 11 X-DOI: 10.1080/00207721.2013.766772 File-URL: http://hdl.handle.net/10.1080/00207721.2013.766772 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:11:p:2223-2241 Template-Type: ReDIF-Article 1.0 Author-Name: Hao Liu Author-X-Name-First: Hao Author-X-Name-Last: Liu Author-Name: Geng Lu Author-X-Name-First: Geng Author-X-Name-Last: Lu Author-Name: Yisheng Zhong Author-X-Name-First: Yisheng Author-X-Name-Last: Zhong Title: Robust output tracking control of a laboratory helicopter for automatic landing Abstract: In this paper, robust output tracking control problem of a laboratory helicopter for automatic landing in high seas is investigated. The motion of the helicopter is required to synchronise with that of an oscillating platform, e.g. the deck of a vessel subject to wave-induced motions. A robust linear time-invariant output feedback controller consisting of a nominal controller and a robust compensator is designed. The robust compensator is introduced to restrain the influences of parametric uncertainties, nonlinearities and external disturbances. It is shown that robust stability and robust tracking property can be achieved simultaneously. Experimental results on the laboratory helicopter for automatic landing demonstrate the effectiveness of the designed control approach. Journal: International Journal of Systems Science Pages: 2242-2250 Issue: 11 Volume: 45 Year: 2014 Month: 11 X-DOI: 10.1080/00207721.2013.766774 File-URL: http://hdl.handle.net/10.1080/00207721.2013.766774 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:11:p:2242-2250 Template-Type: ReDIF-Article 1.0 Author-Name: Miao Yu Author-X-Name-First: Miao Author-X-Name-Last: Yu Author-Name: Jiasen Wang Author-X-Name-First: Jiasen Author-X-Name-Last: Wang Author-Name: Donglian Qi Author-X-Name-First: Donglian Author-X-Name-Last: Qi Title: Feedback nonlinear discrete-time systems Abstract: In this paper, we design an adaptive iterative learning control method for a class of high-order nonlinear output feedback discrete-time systems with random initial conditions and iteration-varying desired trajectories. An n-step ahead predictor approach is employed to estimate future outputs. The discrete Nussbaum gain method is incorporated into the control design to deal with unknown control directions. The proposed control algorithm ensures that the tracking error converges to zero asymptotically along the iterative learning axis except for the beginning outputs affected by random initial conditions. A numerical simulation is carried out to demonstrate the efficacy of the presented control laws. Journal: International Journal of Systems Science Pages: 2251-2259 Issue: 11 Volume: 45 Year: 2014 Month: 11 X-DOI: 10.1080/00207721.2013.767950 File-URL: http://hdl.handle.net/10.1080/00207721.2013.767950 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:11:p:2251-2259 Template-Type: ReDIF-Article 1.0 Author-Name: Vladimir Turetsky Author-X-Name-First: Vladimir Author-X-Name-Last: Turetsky Author-Name: Valery Y. Glizer Author-X-Name-First: Valery Y. Author-X-Name-Last: Glizer Author-Name: Josef Shinar Author-X-Name-First: Josef Author-X-Name-Last: Shinar Title: Robust trajectory tracking: differential game/cheap control approach Abstract: A robust trajectory tracking problem is treated in the framework of a zero-sum linear-quadratic differential game of a general type. For the cheap control version of this game, a novel solvability condition is derived. The sufficient condition, guaranteeing that the tracking problem is solved by the optimal strategy of the minimiser in the cheap control game, is established. The boundedness of the time realisations of this strategy is analysed. An illustrative example is presented. Journal: International Journal of Systems Science Pages: 2260-2274 Issue: 11 Volume: 45 Year: 2014 Month: 11 X-DOI: 10.1080/00207721.2013.768305 File-URL: http://hdl.handle.net/10.1080/00207721.2013.768305 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:11:p:2260-2274 Template-Type: ReDIF-Article 1.0 Author-Name: Ding Zhai Author-X-Name-First: Ding Author-X-Name-Last: Zhai Author-Name: Qing-Ling Zhang Author-X-Name-First: Qing-Ling Author-X-Name-Last: Zhang Author-Name: Guo-Yi Liu Author-X-Name-First: Guo-Yi Author-X-Name-Last: Liu Title: Data-driven criteria synthesis of system with two-degree-of-freedom controller Abstract: This paper is concerned with the problem of designing a two-degree-of-freedom (2-DOF) controller based on data. Without requiring the specific mathematical model of a plant, the parameters of stabilising controller are calculated directly from data for a linear time-invariant system. In fact, using the traditional unity feedback control, the existing results which focus on calculating stabilising PID or first-order controllers have been reported in the literature. However, there exists certain steady-state error in these approaches if the integrators are not added into the controller. In this paper, a 2-DOF controller is designed to ensure no changes in characteristic polynomial of the closed-loop systems, furthermore, in terms of a pre-specified criterion function, by applying the iterative feedback tuning technique, a local optimal performance is achieved. Especially, for the step input, through tuning the parameters of controller, the steady-state error can be reduced to zero. Finally, a numerical example is given to illustrate the effectiveness of this method. Journal: International Journal of Systems Science Pages: 2275-2281 Issue: 11 Volume: 45 Year: 2014 Month: 11 X-DOI: 10.1080/00207721.2013.768306 File-URL: http://hdl.handle.net/10.1080/00207721.2013.768306 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:11:p:2275-2281 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaoxiao Dong Author-X-Name-First: Xiaoxiao Author-X-Name-Last: Dong Author-Name: Jun Zhao Author-X-Name-First: Jun Author-X-Name-Last: Zhao Title: Output tracking control of cascade switched nonlinear systems Abstract: The output tracking problem for cascade switched nonlinear systems is studied based on the average dwell time method in this paper. Sufficient conditions for this problem to be solvable are derived, where the zero dynamics is unstabilisable under an arbitrary switching. When the switching signal satisfies an average dwell time scheme, H∞ output tracking is achieved by virtue of a designed switched integral controller. A numerical example is illustrated to show the effectiveness of the main result. Journal: International Journal of Systems Science Pages: 2282-2288 Issue: 11 Volume: 45 Year: 2014 Month: 11 X-DOI: 10.1080/00207721.2013.768307 File-URL: http://hdl.handle.net/10.1080/00207721.2013.768307 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:11:p:2282-2288 Template-Type: ReDIF-Article 1.0 Author-Name: Hossein Azizi Author-X-Name-First: Hossein Author-X-Name-Last: Azizi Title: DEA efficiency analysis: A DEA approach with double frontiers Abstract: Data envelopment analysis (DEA) is a method for measuring efficiency of peer decision-making units (DMUs). Conventional DEA evaluates the performance of each DMU using a set of most favourable weights. As a result, traditional DEA models can be considered methods for the analysis of the best relative efficiency or analysis of the optimistic efficiency. DEA efficient DMUs obtained from conventional DEA models create an efficient production frontier. Traditional DEA can be used to identify units with good performance in the most desirable scenarios. There is a similar approach that evaluates the performance indicators of each DMU using a set of most unfavourable weights. Accordingly, such models can be considered models for analysing the worst relative efficiency or pessimistic efficiency. This approach uses the inefficient production frontier for determining the worst relative efficiency that can be assigned to each DMU. DMUs lying on the inefficient production frontier are referred to as DEA inefficient while those neither on the efficient frontier nor on the inefficient frontier are declared DEA inefficient. It can be argued that both relative efficiencies should be considered simultaneously and any approach with only one of them would be biased. This paper proposed the integration of both efficiencies as an interval so that the overall performance score would belong to this interval. It was shown that efficiency interval provided more information than either of the two efficiencies, which was illustrated using two numerical examples. Journal: International Journal of Systems Science Pages: 2289-2300 Issue: 11 Volume: 45 Year: 2014 Month: 11 X-DOI: 10.1080/00207721.2013.768715 File-URL: http://hdl.handle.net/10.1080/00207721.2013.768715 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:11:p:2289-2300 Template-Type: ReDIF-Article 1.0 Author-Name: Qiumin Li Author-X-Name-First: Qiumin Author-X-Name-Last: Li Author-Name: Yixiang Tian Author-X-Name-First: Yixiang Author-X-Name-Last: Tian Author-Name: Gaoxun Zhang Author-X-Name-First: Gaoxun Author-X-Name-Last: Zhang Title: The k-nearest neighbour-based GMDH prediction model and its applications Abstract: This paper centres on a new GMDH (group method of data handling) algorithm based on the k-nearest neighbour (k-NN) method. Instead of the transfer function that has been used in traditional GMDH, the k-NN kernel function is adopted in the proposed GMDH to characterise relationships between the input and output variables. The proposed method combines the advantages of the k-nearest neighbour (k-NN) algorithm and GMDH algorithm, and thus improves the predictive capability of the GMDH algorithm. It has been proved that when the bandwidth of the kernel is less than a certain constant C, the predictive capability of the new model is superior to that of the traditional one. As an illustration, it is shown that the new method can accurately forecast consumer price index (CPI). Journal: International Journal of Systems Science Pages: 2301-2308 Issue: 11 Volume: 45 Year: 2014 Month: 11 X-DOI: 10.1080/00207721.2013.768716 File-URL: http://hdl.handle.net/10.1080/00207721.2013.768716 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:11:p:2301-2308 Template-Type: ReDIF-Article 1.0 Author-Name: Magdi S. Mahmoud Author-X-Name-First: Magdi S. Author-X-Name-Last: Mahmoud Author-Name: Nezar M. Alyazidi Author-X-Name-First: Nezar M. Author-X-Name-Last: Alyazidi Author-Name: Abdul-Wahed A. Saif Author-X-Name-First: Abdul-Wahed A. Author-X-Name-Last: Saif Title: LQG control design over lossy communication links Abstract: This paper investigates the problem of linear-quadratic Gaussian feedback control over unreliable communication channels with observation noise. We consider the problems of estimation and control under two different protocols. In one protocol, the transfer control protocol-like protocol, the estimation/control unit provides acknowledgments to successfully deliver the packets. In the other protocol, the user datagram protocol (UDP)-like protocol, no acknowledgments are permitted. We address the nonlinearity for the UDP protocol using the suboptimal approach. It is shown that there is a critical value at which the system becomes unstable. These unstable properties do not only depend on the rates of the control packets but also on the eigenvalues for the considered system. Simulation of two numerical examples is carried out in detail to illustrate the theoretical analysis. Journal: International Journal of Systems Science Pages: 2309-2326 Issue: 11 Volume: 45 Year: 2014 Month: 11 X-DOI: 10.1080/00207721.2013.768717 File-URL: http://hdl.handle.net/10.1080/00207721.2013.768717 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:11:p:2309-2326 Template-Type: ReDIF-Article 1.0 Author-Name: Salvatore Cannella Author-X-Name-First: Salvatore Author-X-Name-Last: Cannella Author-Name: Jose M. Framinan Author-X-Name-First: Jose M. Author-X-Name-Last: Framinan Author-Name: Ana Barbosa-Póvoa Author-X-Name-First: Ana Author-X-Name-Last: Barbosa-Póvoa Title: An IT-enabled supply chain model: a simulation study Abstract: During the last decades, supply chain collaboration practices and the underlying enabling technologies have evolved from the classical electronic data interchange (EDI) approach to a web-based and radio frequency identification (RFID)-enabled collaboration. In this field, most of the literature has focused on the study of optimal parameters for reducing the total cost of suppliers, by adopting operational research (OR) techniques. Herein we are interested in showing that the considered information technology (IT)-enabled structure is resilient, that is, it works well across a reasonably broad range of parameter settings. By adopting a methodological approach based on system dynamics, we study a multi-tier collaborative supply chain. Results show that the IT-enabled supply chain improves operational performance and customer service level. Nonetheless, benefits for geographically dispersed networks are of minor entity. Journal: International Journal of Systems Science Pages: 2327-2341 Issue: 11 Volume: 45 Year: 2014 Month: 11 X-DOI: 10.1080/00207721.2013.769072 File-URL: http://hdl.handle.net/10.1080/00207721.2013.769072 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:11:p:2327-2341 Template-Type: ReDIF-Article 1.0 Author-Name: Shiyong Li Author-X-Name-First: Shiyong Author-X-Name-Last: Li Author-Name: Wei Sun Author-X-Name-First: Wei Author-X-Name-Last: Sun Author-Name: Changchun Hua Author-X-Name-First: Changchun Author-X-Name-Last: Hua Title: Fair resource allocation and stability for communication networks with multipath routing Abstract: Multipath networks allow that each source-destination pair can have several different paths for data transmission, thus they improve the performance of increasingly bandwidth-hungry applications and well cater for traffic load balancing and bandwidth usage efficiency. This paper investigates fair resource allocation for users in multipath networks and formulates it as a multipath network utility maximisation problem with several fairness concepts. By applying the Lagrangian method, sub-problems for users and paths are derived from the resource allocation model and interpreted from an economic point of view. In order to solve the model, a novel rate-based flow control algorithm is proposed for achieving optimal resource allocation, which depends only on local information. In the presence of round-trip delays, sufficient conditions are obtained for local stability of the delayed algorithm. As for the end-to-end implementation in Internet, a window-based flow control mechanism is presented since it is more convenient to implement than rate-based flow control. Journal: International Journal of Systems Science Pages: 2342-2353 Issue: 11 Volume: 45 Year: 2014 Month: 11 X-DOI: 10.1080/00207721.2013.769073 File-URL: http://hdl.handle.net/10.1080/00207721.2013.769073 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:11:p:2342-2353 Template-Type: ReDIF-Article 1.0 Author-Name: Sisi Yin Author-X-Name-First: Sisi Author-X-Name-Last: Yin Author-Name: Tatsushi Nishi Author-X-Name-First: Tatsushi Author-X-Name-Last: Nishi Title: A solution procedure for mixed-integer nonlinear programming formulation of supply chain planning with quantity discounts under demand uncertainty Abstract: Quantity discount policy is decision-making for trade-off prices between suppliers and manufacturers while production is changeable due to demand fluctuations in a real market. In this paper, quantity discount models which consider selection of contract suppliers, production quantity and inventory simultaneously are addressed. The supply chain planning problem with quantity discounts under demand uncertainty is formulated as a mixed-integer nonlinear programming problem (MINLP) with integral terms. We apply an outer-approximation method to solve MINLP problems. In order to improve the efficiency of the proposed method, the problem is reformulated as a stochastic model replacing the integral terms by using a normalisation technique. We present numerical examples to demonstrate the efficiency of the proposed method. Journal: International Journal of Systems Science Pages: 2354-2365 Issue: 11 Volume: 45 Year: 2014 Month: 11 X-DOI: 10.1080/00207721.2013.769645 File-URL: http://hdl.handle.net/10.1080/00207721.2013.769645 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:11:p:2354-2365 Template-Type: ReDIF-Article 1.0 Author-Name: Xin-zhuang Dong Author-X-Name-First: Xin-zhuang Author-X-Name-Last: Dong Title: Admissibility analysis of linear singular systems via a delta operator method Abstract: In this paper, the problem of admissibility analysis is investigated for linear singular systems through a delta operator method. The delta operator model of a linear singular continuous system is set up first for a special case and then generalised to the common case. It is shown that when the sampling period tends to zero, the delta operator model tends to the corresponding singular continuous system. In order to obtain the above delta operator model, we adopt a linear singular discrete model which contains the sampling period instead of the standard discrete one which contains no sampling period in the modeling process. The relation between the admissibility of the two singular discrete models is analysed and it is proved that the admissibility of one singular discrete model is equivalent to that of the other discrete model. Moreover, based on the relation between the discrete and delta operator models, some admissibility conditions are derived for linear singular delta operator systems. A numerical example is also provided to demonstrate the theoretical results in this paper. Journal: International Journal of Systems Science Pages: 2366-2375 Issue: 11 Volume: 45 Year: 2014 Month: 11 X-DOI: 10.1080/00207721.2013.769646 File-URL: http://hdl.handle.net/10.1080/00207721.2013.769646 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:11:p:2366-2375 Template-Type: ReDIF-Article 1.0 Author-Name: Lu Yu Author-X-Name-First: Lu Author-X-Name-Last: Yu Author-Name: Jinzhi Wang Author-X-Name-First: Jinzhi Author-X-Name-Last: Wang Title: Distributed output regulation for multi-agent systems with norm-bounded uncertainties Abstract: In this paper, we consider the distributed robust output regulation problem for multi-agent systems (MASs). It is involved with a group of heterogeneous high-order linear uncertain systems and an linear exosystem. The regulated output is a combination of the output of MAS and the exosystem, which is defined based on controlling demands. Distributed controllers are designed to ensure that the regulated output converges to the origin and meanwhile the closed-loop MAS is stable. The sufficient conditions for the solvability of distributed output regulation problem are given in terms of linear matrix inequalities. And algorithms are proposed to design distributed dynamic controllers with state feedback and output feedback, via the help of internal models. It is shown that, for any time-invariant norm-bounded uncertainties, the given controllers can realise the objective of output regulation. Journal: International Journal of Systems Science Pages: 2376-2389 Issue: 11 Volume: 45 Year: 2014 Month: 11 X-DOI: 10.1080/00207721.2013.769647 File-URL: http://hdl.handle.net/10.1080/00207721.2013.769647 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:11:p:2376-2389 Template-Type: ReDIF-Article 1.0 Author-Name: Shoude Li Author-X-Name-First: Shoude Author-X-Name-Last: Li Title: Optimal control of the production–inventory system with deteriorating items and tradable emission permits Abstract: Using the well-known Arrow and Karlin (1958) dynamic production–inventory model and the model with tradable emission permits which was presented by Dobos (2005, 2007), we develop a model of the production–inventory system with deteriorating items and tradable emission permits. The objective of this paper is to apply the optimal control theory to solve the production–inventory problem with deteriorating items and tradable emission permits, and derive the optimal inventory level and the optimal production rate that minimise the total cost. The results are discussed with a numerical example and a sensitivity analysis of the optimal solution with respect to the parameters of the production–inventory system is carried out. Journal: International Journal of Systems Science Pages: 2390-2401 Issue: 11 Volume: 45 Year: 2014 Month: 11 X-DOI: 10.1080/00207721.2013.770103 File-URL: http://hdl.handle.net/10.1080/00207721.2013.770103 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:11:p:2390-2401 Template-Type: ReDIF-Article 1.0 Author-Name: Asier Ibeas Author-X-Name-First: Asier Author-X-Name-Last: Ibeas Title: Superstability of linear switched systems Abstract: This paper applies the concept of superstability to switched linear systems as a particular case of linear time-varying systems. A generalised concept of superstability, applied to complex matrices, and extended superstability, is introduced in order to obtain a new result for guaranteeing the asymptotic stability of a switched system under arbitrary switching. The relation between extended superstable and stable simultaneously triangularizable sets of matrices is also discussed. It is shown that stable triangularizable matrices are a proper subset of extended superstable ones, pointing out that the presented stability result is a generalisation of the previous well-known stability theorems to a broader class of switched dynamical systems. Journal: International Journal of Systems Science Pages: 2402-2410 Issue: 11 Volume: 45 Year: 2014 Month: 11 X-DOI: 10.1080/00207721.2013.770582 File-URL: http://hdl.handle.net/10.1080/00207721.2013.770582 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:11:p:2402-2410 Template-Type: ReDIF-Article 1.0 Author-Name: Yang Liu Author-X-Name-First: Yang Author-X-Name-Last: Liu Author-Name: Hong-Wei Chen Author-X-Name-First: Hong-Wei Author-X-Name-Last: Chen Author-Name: Jian-Quan Lu Author-X-Name-First: Jian-Quan Author-X-Name-Last: Lu Title: Data-based controllability analysis of discrete-time linear time-delay systems Abstract: In this paper, a data-based method is used to analyse the controllability of discrete-time linear time-delay systems. By this method, one can directly construct a controllability matrix using the measured state data without identifying system parameters. Hence, one can save time in practice and avoid corresponding identification errors. Moreover, its calculation precision is higher than some other traditional approaches, which need to identify unknown parameters. Our methods are feasible to the study of characteristics of deterministic systems. A numerical example is given to show the advantage of our results. Journal: International Journal of Systems Science Pages: 2411-2417 Issue: 11 Volume: 45 Year: 2014 Month: 11 X-DOI: 10.1080/00207721.2013.770583 File-URL: http://hdl.handle.net/10.1080/00207721.2013.770583 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:11:p:2411-2417 Template-Type: ReDIF-Article 1.0 Author-Name: Yeong-Chan Chang Author-X-Name-First: Yeong-Chan Author-X-Name-Last: Chang Title: Robust adaptive neural tracking control for a class of electrically driven robots with time delays Abstract: This article addresses the problem of designing the robust tracking control for a class of uncertain electrically driven robots with time delays. The unknown time-delay uncertainty is assumed to be bounded by a function of all the state variables. By suitably choosing the Lyapunov–Krasovskii functionals, a novel adaptive/robust neural tracking control scheme is developed for the first time such that all the states and signals of the closed-loop time-delay robot system are bounded and the tracking error is shown to be uniformly ultimately bounded. By suitably designing the embedded current signal, the effect of time-delay uncertainty in the mechanical dynamics does not require to be incorporated into the current tracking error dynamics, and so the Lyapunov–Krasovskii functionals can be easily constructed in the stability analysis. Compared with the previous investigations of controlling robots the control scheme developed here can be extended to handle a broader class of electrically driven robots perturbed simultaneously by plant uncertainties, time-varying perturbations, and time-delay uncertainties. Finally, simulation examples are made to demonstrate the effectiveness of the proposed control algorithm. Journal: International Journal of Systems Science Pages: 2418-2434 Issue: 11 Volume: 45 Year: 2014 Month: 11 X-DOI: 10.1080/00207721.2013.770584 File-URL: http://hdl.handle.net/10.1080/00207721.2013.770584 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:11:p:2418-2434 Template-Type: ReDIF-Article 1.0 Author-Name: Deyuan Meng Author-X-Name-First: Deyuan Author-X-Name-Last: Meng Author-Name: Yingmin Jia Author-X-Name-First: Yingmin Author-X-Name-Last: Jia Author-Name: Junping Du Author-X-Name-First: Junping Author-X-Name-Last: Du Title: Finite-time consensus protocols for networks of dynamic agents by terminal iterative learning Abstract: This paper aims to address finite-time consensus problems for multi-agent systems under the iterative learning control framework. Distributed iterative learning protocols are presented, which adopt the terminal laws to update the control input and are offline feedforward design approaches. It is shown that iterative learning protocols can guarantee all agents in a directed graph to reach the finite-time consensus. Furthermore, the multi-agent systems can be enabled to achieve a finite-time consensus at any desired terminal state/output if iterative learning protocols can be improved by introducing the desired terminal state/output to a portion of agents. Simulation results show that iterative learning protocols can effectively accomplish finite-time consensus objectives for both first-order and higher order multi-agent systems. Journal: International Journal of Systems Science Pages: 2435-2446 Issue: 11 Volume: 45 Year: 2014 Month: 11 X-DOI: 10.1080/00207721.2013.775380 File-URL: http://hdl.handle.net/10.1080/00207721.2013.775380 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:11:p:2435-2446 Template-Type: ReDIF-Article 1.0 Author-Name: Amirhosein Golfar Author-X-Name-First: Amirhosein Author-X-Name-Last: Golfar Author-Name: Jafar Ghaisari Author-X-Name-First: Jafar Author-X-Name-Last: Ghaisari Title: Convergence analysis of max-consensus algorithm in probabilistic communication networks with Bernoulli dropouts Abstract: In the presence of probabilistic communication networks between agents, the convergence analysis of max-consensus algorithm (MCA) is addressed in this paper. It is considered that at each iteration of MCA, all agents share their measurements with adjacent agents via local communication networks which is applicable in many multi-agent systems (MASs). It is assumed that the communication networks have Bernoulli dropouts, i.e. the information exchanged between agents may be lost with Bernoulli distribution. In the proposed method, the information topology of MAS is modelled as a dynamic graph with the Bernoulli adjacency matrix. It is proved that in the presence of Bernoulli dropouts and under non-restrictive assumptions concerning the MAS features and communication topology, the MCA converges with a probability one in the finite time. Furthermore, the upper bounds are provided by means of deterministic and probabilistic expressions for the expectation and dispersion of convergence time, respectively. It is shown that the proposed upper bounds are asymptotic, i.e. there are specific conditions of MAS in which the convergence time of MCA tends to the proposed upper bounds. The convergence accuracy of MCA is discussed in terms of probabilistic equations. The validity of the proposed theorems is illustrated by means of simulation results. Journal: International Journal of Systems Science Pages: 1313-1326 Issue: 7 Volume: 50 Year: 2019 Month: 5 X-DOI: 10.1080/00207721.2019.1585998 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1585998 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:7:p:1313-1326 Template-Type: ReDIF-Article 1.0 Author-Name: Zhenghong Jin Author-X-Name-First: Zhenghong Author-X-Name-Last: Jin Author-Name: Qingling Zhang Author-X-Name-First: Qingling Author-X-Name-Last: Zhang Author-Name: Xinyou Meng Author-X-Name-First: Xinyou Author-X-Name-Last: Meng Title: The impulse analysis of the T-S fuzzy singular system via Kronecker index Abstract: The problem of impulse analysis is considered for the T-S fuzzy singular system by using the Kronecker index and the generalised Kronecker index in this paper. The T-S singular system is divided into two cases: the uniformly regular T-S fuzzy singular system and the non-uniformly regular T-S fuzzy singular system. The contribution of this paper is twofold. First, a new definition of the generalised Kronecker form is introduced, and the algorithm of finding the generalised Kronecker form is given. Second, two theorems are proved, one is that the uniformly regular T-S fuzzy singular system is impulsive if and only if the Kronecker index is greater than one, the other one is the non-uniformly regular T-S fuzzy singular system is impulsive if and only if the generalised Kronecker index is greater than one. Finally, two numerical simulations and the population model with stage structure are carried out to show the consistency with theoretical analysis and illustrate the effectiveness of the algorithm. Journal: International Journal of Systems Science Pages: 1327-1337 Issue: 7 Volume: 50 Year: 2019 Month: 5 X-DOI: 10.1080/00207721.2019.1587545 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1587545 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:7:p:1327-1337 Template-Type: ReDIF-Article 1.0 Author-Name: Wei Wang Author-X-Name-First: Wei Author-X-Name-Last: Wang Author-Name: Xin Chen Author-X-Name-First: Xin Author-X-Name-Last: Chen Author-Name: Hao Fu Author-X-Name-First: Hao Author-X-Name-Last: Fu Author-Name: Min Wu Author-X-Name-First: Min Author-X-Name-Last: Wu Title: Data-driven adaptive dynamic programming for partially observable nonzero-sum games via Q-learning method Abstract: This paper concerns with a class of discrete-time linear nonzero-sum games with the partially observable system state. As is known, the optimal control policy for the nonzero-sum games relies on the full state measurement which is hard to fulfil in partially observable environment. Moreover, to achieve the optimal control, one needs to know the accurate system model. To overcome these deficiencies, this paper develops a data-driven adaptive dynamic programming method via Q-learning method using measurable input/output data without any system knowledge. First, the representation of the unmeasurable inner system state is built using historical input/output data. Then, based on the representation state, a Q-function-based policy iteration approach with convergence analysis is introduced to approximate the optimal control policy iteratively. A neural network (NN)-based actor-critic framework is applied to implement the developed data-driven approach. Finally, two simulation examples are provided to demonstrate the effectiveness of the developed approach. Journal: International Journal of Systems Science Pages: 1338-1352 Issue: 7 Volume: 50 Year: 2019 Month: 5 X-DOI: 10.1080/00207721.2019.1599463 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1599463 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:7:p:1338-1352 Template-Type: ReDIF-Article 1.0 Author-Name: Miao Huang Author-X-Name-First: Miao Author-X-Name-Last: Huang Author-Name: Xin Wang Author-X-Name-First: Xin Author-X-Name-Last: Wang Author-Name: Zhe-Ming Lu Author-X-Name-First: Zhe-Ming Author-X-Name-Last: Lu Author-Name: Long-Hua Ma Author-X-Name-First: Long-Hua Author-X-Name-Last: Ma Author-Name: Ming Xu Author-X-Name-First: Ming Author-X-Name-Last: Xu Author-Name: Hong-Ye Su Author-X-Name-First: Hong-Ye Author-X-Name-Last: Su Title: Multiple model-based event-triggered adaptive control of a class of discrete-time nonlinear systems Abstract: In this study, the problem of event-triggered-based adaptive control (ETAC) for a class of discrete-time nonlinear systems with unknown parameters and nonlinear uncertainties is considered. Both neural network (NN) based and linear identifiers are used to approximate the unknown system dynamics. The feedback output signals are transmitted, and the parameters and the NN weights of the identifiers are tuned in an aperiodic manner at the event sample instants. A switching mechanism is provided to evaluate the approximate performance of each identifier and decide which estimated output is utilised for the event-triggered controller design, during any two events. The linear identifier with an auxiliary output and an improved adaptive law is introduced so that the nonlinear uncertainties are no longer assumed to be Lipschitz. The number of transmission times are significantly reduced by incorporating multiple model schemes into ETAC. The boundedness of both the parameters of identifiers and the system outputs is demonstrated though the Lyapunov approach. Simulation results demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1353-1367 Issue: 7 Volume: 50 Year: 2019 Month: 5 X-DOI: 10.1080/00207721.2019.1615569 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1615569 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:7:p:1353-1367 Template-Type: ReDIF-Article 1.0 Author-Name: Pham Huu Anh Ngoc Author-X-Name-First: Pham Huu Anh Author-X-Name-Last: Ngoc Author-Name: Cao Thanh Tinh Author-X-Name-First: Cao Thanh Author-X-Name-Last: Tinh Author-Name: Thai Bao Tran Author-X-Name-First: Thai Bao Author-X-Name-Last: Tran Title: Further results on exponential stability of functional differential equations Abstract: General non-linear functional differential equations are considered. New explicit criteria for the exponential stability are presented. The stability criteria given in this paper include many existing results as particular cases. In particular, they unify, generalise and improve some ones published recently in [Ngoc, P. H. A. (2012). On exponential stability of non-linear differential systems with time-varying delay. Applied Mathematics Letters, 25(9), 1208–1213 and Ngoc, P. H. A. (2013b). Novel criteria for exponential stability of functional differential equations. Proceedings of the American Mathematical Society, 141(9), 3083–3091]. Two examples are given to show the effectiveness and advantage of the obtained results. Journal: International Journal of Systems Science Pages: 1368-1377 Issue: 7 Volume: 50 Year: 2019 Month: 5 X-DOI: 10.1080/00207721.2019.1615570 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1615570 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:7:p:1368-1377 Template-Type: ReDIF-Article 1.0 Author-Name: Jianfang Tang Author-X-Name-First: Jianfang Author-X-Name-Last: Tang Author-Name: Jie Zhou Author-X-Name-First: Jie Author-X-Name-Last: Zhou Author-Name: Yao Rong Author-X-Name-First: Yao Author-X-Name-Last: Rong Title: Estimation fusion for distributed multi-sensor systems with uncertain cross-correlations Abstract: This paper addresses the estimation fusion problem in distributed multi-sensor systems with uncertain cross-covariance among local estimation errors. A robust linear estimation fusion method is proposed in the sense of minimising the worst mean square error of the fused estimator over the uncertain normalised cross-covariances (NCC). The weighted coefficient matrices of the fused estimator can be obtained by solving a semi-definite programming problem. This estimation fusion method is suitable for the situations with completely unknown NCC or partly known NCC. Two fusion estimators for the uncertain NCC with partly known prior information are presented. Some numerical simulations are provided to show the good performance of the proposed estimators. Journal: International Journal of Systems Science Pages: 1378-1387 Issue: 7 Volume: 50 Year: 2019 Month: 5 X-DOI: 10.1080/00207721.2019.1615573 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1615573 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:7:p:1378-1387 Template-Type: ReDIF-Article 1.0 Author-Name: Xiao-Zhen Liu Author-X-Name-First: Xiao-Zhen Author-X-Name-Last: Liu Author-Name: Kai-Ning Wu Author-X-Name-First: Kai-Ning Author-X-Name-Last: Wu Author-Name: Weihai Zhang Author-X-Name-First: Weihai Author-X-Name-Last: Zhang Title: Mean square finite-time boundary stabilisation and H∞ boundary control for stochastic reaction-diffusion systems Abstract: In this paper, the boundary control problem of stochastic reaction-diffusion systems (SRDSs) is studied. First, a distribution controller is designed, and a sufficient condition is established to achieve mean square finite-time stability. Then a boundary controller is proposed, and a criterion is obtained for mean square finite-time stability by using Poincaré's inequality and Gronwall's inequality. When the system is subject to external noise, a boundary $H_\infty $H∞ controller is presented for the systems with an $H_\infty $H∞ performance. Furthermore, a boundary controller is presented to ensure robust mean square finite-time stability of linear uncertain SRDSs. Numerical examples illustrate the validity of the theoretical results. Journal: International Journal of Systems Science Pages: 1388-1398 Issue: 7 Volume: 50 Year: 2019 Month: 5 X-DOI: 10.1080/00207721.2019.1615574 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1615574 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:7:p:1388-1398 Template-Type: ReDIF-Article 1.0 Author-Name: Omer Saleem Author-X-Name-First: Omer Author-X-Name-Last: Saleem Author-Name: Khalid Mahmood-ul-Hasan Author-X-Name-First: Khalid Author-X-Name-Last: Mahmood-ul-Hasan Title: Robust stabilisation of rotary inverted pendulum using intelligently optimised nonlinear self-adaptive dual fractional-order PD controllers Abstract: This article presents an intelligently optimised self-tuning fractional-order control scheme to improve the attitude-stabilisation of an inverted pendulum. Primarily, the scheme employs two Fractional-order Proportional-Derivative (FPD) controllers acting concurrently on the system to minimise the deviations in its state-trajectories. Wherein, one FPD controller compensates the variations in pendulum-angle and its fractional-order derivative to vertically balance the pendulum, where as the other FPD controller acts as a position controller and regulates the variations in arm-angle and its fractional-order derivative. The integration of fractional calculus with conventional PD controllers optimises the reference-tracking performance of the control scheme by increasing its degrees-of-freedom and design flexibility. In order to further improve the system’s immunity against exogenous disturbances, the PD gains of each controller are dynamically adjusted after each sampling interval using piecewise nonlinear functions of their respective state-variations. The hyper-parameters of the nonlinear gain-adjustment functions as well as the fractional-number power of the derivative-operator of each controller are selected via Particle-Swarm-optimisation (PSO) algorithm. The proposed adaptive control scheme is tested on the QNET Rotary Inverted Pendulum setup via ‘hardware-in-the-loop’ experiments. The optimality and robustness of the proposed control scheme are validated by comparing its performance with PSO-based fixed-gain dual-PD and dual-FPD control schemes. Journal: International Journal of Systems Science Pages: 1399-1414 Issue: 7 Volume: 50 Year: 2019 Month: 5 X-DOI: 10.1080/00207721.2019.1615575 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1615575 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:7:p:1399-1414 Template-Type: ReDIF-Article 1.0 Author-Name: Chang-Hua Lien Author-X-Name-First: Chang-Hua Author-X-Name-Last: Lien Author-Name: Ker-Wei Yu Author-X-Name-First: Ker-Wei Author-X-Name-Last: Yu Author-Name: Hao-Chin Chang Author-X-Name-First: Hao-Chin Author-X-Name-Last: Chang Title: Robust mixed performance of uncertain switched systems with random time-varying delay Abstract: In this paper, the robust mixed ${H_2} $H2/ ${H_\infty } $H∞ performance analysis of uncertain switched systems with linear fractional perturbations and random time-varying delay via a switching signal selection is considered. Some delay-dependent LMI-based criteria are proposed to achieve the design of switching signal. Our approach is proposed to guarantee the performance of system under consideration by Wirtinger-based inequality. Finally, two numerical examples are illustrated to show the main results. Journal: International Journal of Systems Science Pages: 1415-1433 Issue: 7 Volume: 50 Year: 2019 Month: 5 X-DOI: 10.1080/00207721.2019.1615577 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1615577 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:7:p:1415-1433 Template-Type: ReDIF-Article 1.0 Author-Name: Jian-hong Wang Author-X-Name-First: Jian-hong Author-X-Name-Last: Wang Title: Application of interval predictor model into robust model predictive control Abstract: Here we apply interval prediction model into robust model predictive control (MPC) strategy. After introducing the family of models and some basic information, we present the computational results for the construction of interval predictor model, whose regression parameters are included in a sphere parameter set. Given a size measure to scale the average amplitude of the predictor interval, one optimal model that minimises a size measure is efficiently computed by solving a linear programming problem. We apply the active set approach to solve the linear programming problem and based on these optimisation variables, the predictor interval of the considered model with sphere parameter set can be constructed. As for a fixed non-negative number from the size measure, we propose a better choice by using the optimality conditions. In order to apply interval prediction model into robust MPC, two strategies are proposed to analyse a min-max optimisation problem. After input and output variables are regarded as decision variables, a standard quadratic optimisation is obtained and its dual form is derived, then Gauss–Seidel algorithm is proposed to solve the dual problem and convergence of Gauss–Seidel algorithm is provided too. Finally two simulation examples confirm the theoretical results. Journal: International Journal of Systems Science Pages: 1434-1449 Issue: 7 Volume: 50 Year: 2019 Month: 5 X-DOI: 10.1080/00207721.2019.1616125 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1616125 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:7:p:1434-1449 Template-Type: ReDIF-Article 1.0 Author-Name: Guangdeng Zong Author-X-Name-First: Guangdeng Author-X-Name-Last: Zong Author-Name: Dandan Duan Author-X-Name-First: Dandan Author-X-Name-Last: Duan Author-Name: Dong Yang Author-X-Name-First: Dong Author-X-Name-Last: Yang Title: Exponential H∞ filtering of networked linear switched systems with mode-dependent average dwell time: an event-triggered scheme Abstract: In this paper, the event-triggered exponential $H_{\infty } $H∞ filtering problem is addressed for a class of networked linear switched systems via mode-dependent average dwell time (MDADT) technique. An event-triggered communication mechanism is designed to enhance the resource utilisation in transmission and save the communication cost of systems as well. Then, the filtering error system is reconstructed as a switched time-delay system with bounded disturbance by virtue of the input delay system approach. By applying the mode-dependent Lyapunov functional approach, some interesting results with MDADT technique are derived to ensure the exponential stability and a prescribed $H_{\infty } $H∞ disturbance rejection level. Further, some sufficient conditions for switched systems with average dwell time (ADT) are also presented as byproduct. An event-triggered exponential $H_{\infty } $H∞ filter is presented by solving some convex optimisation problems. The efficiency of the presented results is verified through a numerical example and a PWM-driven boost converter systems. Journal: International Journal of Systems Science Pages: 1450-1464 Issue: 7 Volume: 50 Year: 2019 Month: 5 X-DOI: 10.1080/00207721.2019.1616126 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1616126 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:7:p:1450-1464 Template-Type: ReDIF-Article 1.0 Author-Name: Chen Liu Author-X-Name-First: Chen Author-X-Name-Last: Liu Author-Name: Dong Shen Author-X-Name-First: Dong Author-X-Name-Last: Shen Author-Name: JinRong Wang Author-X-Name-First: JinRong Author-X-Name-Last: Wang Title: Iterative learning control of multi-agent systems with random noises and measurement range limitations Abstract: In this paper, the iterative learning control is introduced to solve the consensus tracking problem of a multi-agent system with random noises and measurement range limitation. A distributed learning control algorithm is proposed for all agents by utilising its nearest neighbour measured information from previous iterations. With the help of the stochastic approximation technique, we first establish the consensus convergence of the input sequences in almost sure sense for fixed topology as the iteration number increases. Then, we extend the results to switching topologies case which is dynamically changing along the time axis. Illustrative simulations verify the effectiveness of the proposed algorithms. Journal: International Journal of Systems Science Pages: 1465-1482 Issue: 7 Volume: 50 Year: 2019 Month: 5 X-DOI: 10.1080/00207721.2019.1616127 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1616127 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:7:p:1465-1482 Template-Type: ReDIF-Article 1.0 Author-Name: Jaime González-Sierra Author-X-Name-First: Jaime Author-X-Name-Last: González-Sierra Author-Name: Alejandro Dzul Author-X-Name-First: Alejandro Author-X-Name-Last: Dzul Author-Name: Héctor Ríos Author-X-Name-First: Héctor Author-X-Name-Last: Ríos Title: Robust sliding-mode formation control and collision avoidance via repulsive vector fields for a group of Quad-Rotors Abstract: This paper is focused on solving the collision avoidance problem for a group of Quad-Rotors which are affected by external disturbances when they are moving in a horizontal plane by means of Repulsive Vector Fields (RVFs). The RVFs are included in an attractive potential function control strategy, that allows the Quad-Rotors to reach the desired position in a geometric pattern, together with a Continuous Sliding-Mode Control (C-SMC) strategy based on Sliding-Mode Observers (SMOs) that are used to estimate, in a finite-time, the linear and angular velocities, respectively. For this purpose, a parameter, which depends on the distance among the Quad-Rotors and their velocities, is designed in order to scale the RVFs properly. In this sense, the repulsion force will be proportional to the velocity and acceleration of the Quad-Rotor when it detects any obstacle. A RVF not properly scaled may result in a collision or a Quad-Rotor movement far away from its desired position. The combination between the C-SMC strategy, the SMOs, the attractive potential functions and the RVFs robustly solves the formation control and avoidance collision problem under the presence of disturbances. Numerical simulations illustrate the performance of the RVFs when the Quad-Rotors are in risk of collision. Journal: International Journal of Systems Science Pages: 1483-1500 Issue: 7 Volume: 50 Year: 2019 Month: 5 X-DOI: 10.1080/00207721.2019.1616128 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1616128 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:7:p:1483-1500 Template-Type: ReDIF-Article 1.0 Author-Name: Lijing Dong Author-X-Name-First: Lijing Author-X-Name-Last: Dong Author-Name: Senchun Chai Author-X-Name-First: Senchun Author-X-Name-Last: Chai Author-Name: Baihai Zhang Author-X-Name-First: Baihai Author-X-Name-Last: Zhang Author-Name: Xiangshun Li Author-X-Name-First: Xiangshun Author-X-Name-Last: Li Author-Name: Sing Kiong Nguang Author-X-Name-First: Sing Kiong Author-X-Name-Last: Nguang Title: Finite interval tracking algorithm for nonlinear multi-agent systems with communication delays Abstract: We propose an iterative learning control (ILC) tracking strategy to solve the tracking problem of multi-agent systems with nonlinear dynamics and time-varying communication delays. The distributed tracking strategy, in which each tracking agent only utilises its own and neighbours’ information, enables the tracking agents successfully track a maneuvering target in a finite time interval although with presence of time delays. Compared with the existing related work, the quantitative relationship between the boundary of tracking errors and the estimation of time delays is derived. Furthermore, in many practical control problems, identical initialisation condition may not be satisfied, which is called initial-shift problem. Hence, a forgetting factor is introduced to deal with that problem. It is proved that the presented results are effective via conducting numerical examples. Journal: International Journal of Systems Science Pages: 3509-3517 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1090040 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1090040 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3509-3517 Template-Type: ReDIF-Article 1.0 Author-Name: R. Sakthivel Author-X-Name-First: R. Author-X-Name-Last: Sakthivel Author-Name: Maya Joby Author-X-Name-First: Maya Author-X-Name-Last: Joby Author-Name: P. Shi Author-X-Name-First: P. Author-X-Name-Last: Shi Author-Name: K. Mathiyalagan Author-X-Name-First: K. Author-X-Name-Last: Mathiyalagan Title: Robust reliable sampled-data control for switched systems with application to flight control Abstract: This paper addresses the robust reliable stabilisation problem for a class of uncertain switched systems with random delays and norm bounded uncertainties. The main aim of this paper is to obtain the reliable robust sampled-data control design which involves random time delay with an appropriate gain control matrix for achieving the robust exponential stabilisation for uncertain switched system against actuator failures. In particular, the involved delays are assumed to be randomly time-varying which obeys certain mutually uncorrelated Bernoulli distributed white noise sequences. By constructing an appropriate Lyapunov–Krasovskii functional (LKF) and employing an average-dwell time approach, a new set of criteria is derived for ensuring the robust exponential stability of the closed-loop switched system. More precisely, the Schur complement and Jensen's integral inequality are used in derivation of stabilisation criteria. By considering the relationship among the random time-varying delay and its lower and upper bounds, a new set of sufficient condition is established for the existence of reliable robust sampled-data control in terms of solution to linear matrix inequalities (LMIs). Finally, an illustrative example based on the F-18 aircraft model is provided to show the effectiveness of the proposed design procedures. Journal: International Journal of Systems Science Pages: 3518-3528 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1090041 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1090041 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3518-3528 Template-Type: ReDIF-Article 1.0 Author-Name: Jie Yang Author-X-Name-First: Jie Author-X-Name-Last: Yang Author-Name: Guoshan Zhang Author-X-Name-First: Guoshan Author-X-Name-Last: Zhang Author-Name: Kai Ma Author-X-Name-First: Kai Author-X-Name-Last: Ma Title: Hierarchical dispatch using two-stage optimisation for electricity markets in smart grid Abstract: This paper proposes a hierarchical dispatch method for the electricity markets consisting of wholesale markets and retail markets. In the wholesale markets, the generators and the retailers decide the generation and the purchase according to the market-clearing price. In the retail markets, the retailers set the retail price to adjust the electricity consumption of the consumers. Due to the two-way communications in smart grid, the retailers can decide the electricity purchase from the wholesale markets based on the information on electricity usage of consumers in the retail markets. We establish the hierarchical dispatch model for the wholesale markets and the retail markets and develop distributed algorithms to search for the optimal generation, purchase, and consumption. Numerical results show the balance between the supply and demand, the profits of the retailers, and the convergence of the distributed algorithms. Journal: International Journal of Systems Science Pages: 3529-3536 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1090042 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1090042 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3529-3536 Template-Type: ReDIF-Article 1.0 Author-Name: Kirubhakaran Krishnanathan Author-X-Name-First: Kirubhakaran Author-X-Name-Last: Krishnanathan Author-Name: Sean R. Anderson Author-X-Name-First: Sean R. Author-X-Name-Last: Anderson Author-Name: Stephen A. Billings Author-X-Name-First: Stephen A. Author-X-Name-Last: Billings Author-Name: Visakan Kadirkamanathan Author-X-Name-First: Visakan Author-X-Name-Last: Kadirkamanathan Title: Computational system identification of continuous-time nonlinear systems using approximate Bayesian computation Abstract: In this paper, we derive a system identification framework for continuous-time nonlinear systems, for the first time using a simulation-focused computational Bayesian approach. Simulation approaches to nonlinear system identification have been shown to outperform regression methods under certain conditions, such as non-persistently exciting inputs and fast-sampling. We use the approximate Bayesian computation (ABC) algorithm to perform simulation-based inference of model parameters. The framework has the following main advantages: (1) parameter distributions are intrinsically generated, giving the user a clear description of uncertainty, (2) the simulation approach avoids the difficult problem of estimating signal derivatives as is common with other continuous-time methods, and (3) as noted above, the simulation approach improves identification under conditions of non-persistently exciting inputs and fast-sampling. Term selection is performed by judging parameter significance using parameter distributions that are intrinsically generated as part of the ABC procedure. The results from a numerical example demonstrate that the method performs well in noisy scenarios, especially in comparison to competing techniques that rely on signal derivative estimation. Journal: International Journal of Systems Science Pages: 3537-3544 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1090643 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1090643 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3537-3544 Template-Type: ReDIF-Article 1.0 Author-Name: Yan-Jun Shen Author-X-Name-First: Yan-Jun Author-X-Name-Last: Shen Author-Name: Daoyuan Zhang Author-X-Name-First: Daoyuan Author-X-Name-Last: Zhang Author-Name: Yuehua Huang Author-X-Name-First: Yuehua Author-X-Name-Last: Huang Author-Name: Yungang Liu Author-X-Name-First: Yungang Author-X-Name-Last: Liu Title: Global -exponential stabilisation of a class of nonlinear networked control systems Abstract: In this paper, we investigate global K$\mathcal {K}$-exponential stabilisation of a class of nonlinear networked control systems. The network-induced delays are assumed to be random and significantly smaller than the sampling period. First, sufficient conditions are presented to ensure global K$\mathcal {K}$-exponential stability for a class of hybrid systems with time delay. Then, the networked control systems are modelled as the hybrid systems with time delay. By the techniques of adding a power integrator and a recursive argument, a sampled-data state feedback control law is presented. Sufficient conditions are given to ensure global K$\mathcal {K}$-exponential stability of the closed-loop system by constructing a Lyapunov–Krasovskii function. Finally, a numerical example is presented to show the validity of the new methods. Journal: International Journal of Systems Science Pages: 3545-3553 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1091899 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1091899 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3545-3553 Template-Type: ReDIF-Article 1.0 Author-Name: Yiwen Qi Author-X-Name-First: Yiwen Author-X-Name-Last: Qi Author-Name: Wen Bao Author-X-Name-First: Wen Author-X-Name-Last: Bao Author-Name: Qingxin Zhang Author-X-Name-First: Qingxin Author-X-Name-Last: Zhang Author-Name: Juntao Chang Author-X-Name-First: Juntao Author-X-Name-Last: Chang Title: Bumpless switching control for switched systems with partial actuator failures Abstract: This study is concerned with the bumpless transfer problem for switched systems with partial actuator failures, in order to obtain smooth system performance output transition. Taking into account that the system requires a controller switching from current sub-controller to a fault-tolerant sub-controller after actuator fault. And bumpless transfer for control input cannot be traditionally designed when the actuator fault occurs, while performance smoothing can be considered and it is actually the ultimate goal of bumpless transfer. Specifically, the actuator fault model is firstly established and partial actuator fault is considered. Then, the system performance output signal is deemed as the main design variable of bumpless transfer, and closed-loop control systems both previous and after controller switching are constructed. Moreover, by using model matching thought and the adaptive sliding mode control technique, a bumpless transfer compensator design strategy is given to drive the performance output variable (after controller switching) to track the one of reference model. At last, simulation results of numeric and application examples demonstrate the effectiveness of the proposed bumpless transfer strategy. Journal: International Journal of Systems Science Pages: 3554-3560 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1094836 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1094836 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3554-3560 Template-Type: ReDIF-Article 1.0 Author-Name: Junjie Lu Author-X-Name-First: Junjie Author-X-Name-Last: Lu Author-Name: Zhikun She Author-X-Name-First: Zhikun Author-X-Name-Last: She Title: Sufficient and necessary conditions for discrete-time nonlinear switched systems with uniform local exponential stability Abstract: In this paper, we investigate sufficient and necessary conditions of uniform local exponential stability (ULES) for the discrete-time nonlinear switched system (DTNSS). We start with the definition of T-step common Lyapunov functions (CLFs), which is a relaxation of traditional CLFs. Then, for a time-varying DTNSS, by constructing such a T-step CLF, a necessary and sufficient condition for its ULES is provided. Afterwards, we strengthen it based on a T-step Lipschitz continuous CLF. Especially, when the system is time-invariant, by the smooth approximation theorem, the Lipschitz continuity condition of T-step CLFs can further be replaced by continuous differentiability; and when the system is time-invariant and homogeneous, due to the extension of Weierstrass approximation theorem, T-step continuously differentiable CLFs can even be strengthened to be T-step polynomial CLFs. Furthermore, three illustrative examples are additionally used to explain our main contribution. In the end, an equivalence between time-varying DTNSSs and their corresponding linearisations is discussed. Journal: International Journal of Systems Science Pages: 3561-3572 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1095953 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1095953 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3561-3572 Template-Type: ReDIF-Article 1.0 Author-Name: Kai Zhong Author-X-Name-First: Kai Author-X-Name-Last: Zhong Author-Name: Song Zhu Author-X-Name-First: Song Author-X-Name-Last: Zhu Author-Name: Qiqi Yang Author-X-Name-First: Qiqi Author-X-Name-Last: Yang Title: Further results for global exponential stability of stochastic memristor-based neural networks with time-varying delays Abstract: In recent years, the stability problems of memristor-based neural networks have been studied extensively. This paper not only takes the unavoidable noise into consideration but also investigates the global exponential stability of stochastic memristor-based neural networks with time-varying delays. The obtained criteria are essentially new and complement previously known ones, which can be easily validated with the parameters of system itself. In addition, the study of the nonlinear dynamics for the addressed neural networks may be helpful in qualitative analysis for general stochastic systems. Finally, two numerical examples are provided to substantiate our results. Journal: International Journal of Systems Science Pages: 3573-3580 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1095955 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1095955 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3573-3580 Template-Type: ReDIF-Article 1.0 Author-Name: Yingxue Hou Author-X-Name-First: Yingxue Author-X-Name-Last: Hou Author-Name: Shaocheng Tong Author-X-Name-First: Shaocheng Author-X-Name-Last: Tong Author-Name: Yongming Li Author-X-Name-First: Yongming Author-X-Name-Last: Li Title: Adaptive fuzzy backstepping control for a class of switched nonlinear systems with actuator faults Abstract: This paper investigates the problem of fault-tolerant control (FTC) for a class of switched nonlinear systems. These systems are under arbitrary switchings and are subject to both lock-in-place and loss-of-effectiveness actuator faults. In the control design, fuzzy logic systems are used to identify the unknown switched nonlinear systems. Under the framework of the backstepping control design, FTC, fuzzy adaptive control and common Lyapunov function stability theory, an adaptive fuzzy control approach is developed. It is proved that the proposed control approach can guarantee that all the signals in the closed-loop switched system are semi-globally uniformly ultimately bounded (SGUUB) and the tracking error remains an adjustable neighbourhood of the origin. Two simulation examples are provided to illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 3581-3590 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1096428 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1096428 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3581-3590 Template-Type: ReDIF-Article 1.0 Author-Name: Kai Liu Author-X-Name-First: Kai Author-X-Name-Last: Liu Author-Name: Xiaowu Mu Author-X-Name-First: Xiaowu Author-X-Name-Last: Mu Title: Consensusability of multi-agent systems via observer with limited communication data rate Abstract: This paper investigates the consensusability of multi-agent systems via observer with limited communication data. A novel algorithm to determine the parameters of quantizer and encoder is provided. The observer-based consensusability with unlimited bandwidth and observer-based consensusability with communication data rate are discussed separately. Finally, a simulation is given to illustrate the results. Journal: International Journal of Systems Science Pages: 3591-3597 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1100347 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1100347 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3591-3597 Template-Type: ReDIF-Article 1.0 Author-Name: Zhang-peng Tian Author-X-Name-First: Zhang-peng Author-X-Name-Last: Tian Author-Name: Hong-yu Zhang Author-X-Name-First: Hong-yu Author-X-Name-Last: Zhang Author-Name: Jing Wang Author-X-Name-First: Jing Author-X-Name-Last: Wang Author-Name: Jian-qiang Wang Author-X-Name-First: Jian-qiang Author-X-Name-Last: Wang Author-Name: Xiao-hong Chen Author-X-Name-First: Xiao-hong Author-X-Name-Last: Chen Title: Multi-criteria decision-making method based on a cross-entropy with interval neutrosophic sets Abstract: In this paper, two optimisation models are established to determine the criterion weights in multi-criteria decision-making situations where knowledge regarding the weight information is incomplete and the criterion values are interval neutrosophic numbers. The proposed approach combines interval neutrosophic sets and TOPSIS, and the closeness coefficients are expressed as interval numbers. Furthermore, the relative likelihood-based comparison relations are constructed to determine the ranking of alternatives. A fuzzy cross-entropy approach is proposed to calculate the discrimination measure between alternatives and the absolute ideal solutions, after a transformation operator has been developed to convert interval neutrosophic numbers into simplified neutrosophic numbers. Finally, an illustrative example is provided, and a comparative analysis is conducted between the approach developed in this paper and other existing methods, to verify the feasibility and effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 3598-3608 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1102359 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1102359 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3598-3608 Template-Type: ReDIF-Article 1.0 Author-Name: Baojie Zheng Author-X-Name-First: Baojie Author-X-Name-Last: Zheng Author-Name: Xiaowu Mu Author-X-Name-First: Xiaowu Author-X-Name-Last: Mu Title: Formation-containment control of second-order multi-agent systems with only sampled position data Abstract: This paper studies the formation-containment control problem of second-order multi-agent systems with only sampled position data. It is assumed that there exist interactions among leaders and the leaders’ neighbours are only leaders. Two different control protocols with only sampled position information are proposed for followers and leaders, respectively. By the algebraic graph theory and matrix theory, sufficient conditions are given to guarantee that the leaders achieve a desired formation and the followers asymptotically converge into the convex hull formed by the corresponding states of the leaders, i.e. the multi-agent systems achieve formation-containment. Moreover, an explicit expression of the formation position function is given for each leader. Finally, a numerical simulation is provided to illustrate the effectiveness of theoretical results. Journal: International Journal of Systems Science Pages: 3609-3618 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1107148 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1107148 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3609-3618 Template-Type: ReDIF-Article 1.0 Author-Name: Sung Jin Yoo Author-X-Name-First: Sung Jin Author-X-Name-Last: Yoo Title: Formation tracker design of multiple mobile robots with wheel perturbations: adaptive output-feedback approach Abstract: This paper presents a theoretical design approach for output-feedback formation tracking of multiple mobile robots under wheel perturbations. It is assumed that these perturbations are unknown and the linear and angular velocities of the robots are unmeasurable. First, adaptive state observers for estimating unmeasurable velocities of the robots are developed under the robots’ kinematics and dynamics including wheel perturbation effects. Then, we derive a virtual-structure-based formation tracker scheme according to the observer dynamic surface design procedure. The main difficulty of the output-feedback control design is to manage the coupling problems between unmeasurable velocities and unknown wheel perturbation effects. These problems are avoided by using the adaptive technique and the function approximation property based on fuzzy logic systems. From the Lyapunov stability analysis, it is shown that point tracking errors of each robot and synchronisation errors for the desired formation converge to an adjustable neighbourhood of the origin, while all signals in the controlled closed-loop system are semiglobally uniformly ultimately bounded. Journal: International Journal of Systems Science Pages: 3619-3630 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1107149 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1107149 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3619-3630 Template-Type: ReDIF-Article 1.0 Author-Name: Yongquan Pei Author-X-Name-First: Yongquan Author-X-Name-Last: Pei Author-Name: Jitao Sun Author-X-Name-First: Jitao Author-X-Name-Last: Sun Title: Necessary and sufficient conditions of stationary average consensus for second-order multi-agent systems Abstract: This paper investigates the stationary average consensus problem for second-order discrete-time multi-agent systems (SDMAS). A stationary consensus problem is to find a control algorithm that brings the state of a group of agents to a common constant value which is called the collective decision. We introduce the concept of stationary average consensus of SDMAS and propose a consensus algorithm. Based on the polynomial stability and the graph theory, we obtain two necessary and sufficient conditions of stationary average consensus of SDMAS. The last theorem provides an algebraic criterion of stationary average consensus, and can help us to determine the parameters in the consensus algorithm. Furthermore, in this consensus algorithm, only the states of the agents are transferred among the agents. Therefore, this algorithm can not only solve the stationary average consensus problem but also reduce the amount of transferred data. A numerical example is provided to illustrate the efficiency of our results. Journal: International Journal of Systems Science Pages: 3631-3636 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1108475 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1108475 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3631-3636 Template-Type: ReDIF-Article 1.0 Author-Name: Yitian Xu Author-X-Name-First: Yitian Author-X-Name-Last: Xu Author-Name: Mei Chen Author-X-Name-First: Mei Author-X-Name-Last: Chen Author-Name: Guohui Li Author-X-Name-First: Guohui Author-X-Name-Last: Li Title: Least squares twin support vector machine with Universum data for classification Abstract: Universum, a third class not belonging to either class of the classification problem, allows to incorporate the prior knowledge into the learning process. A lot of previous work have demonstrated that the Universum is helpful to the supervised and semi-supervised classification. Moreover, Universum has already been introduced into the support vector machine (SVM) and twin support vector machine (TSVM) to enhance the generalisation performance. To further increase the generalisation performance, we propose a least squares TSVM with Universum data (ULS$\mathfrak {U}_\mathcal {LS}$-TSVM) in this paper. Our ULS$\mathfrak {U}_\mathcal {LS}$-TSVM possesses the following advantages: first, it exploits Universum data to improve generalisation performance. Besides, it implements the structural risk minimisation principle by adding a regularisation to the objective function. Finally, it costs less computing time by solving two small-sized systems of linear equations instead of a single larger-sized quadratic programming problem. To verify the validity of our proposed algorithm, we conduct various experiments around the size of labelled samples and the number of Universum data on data-sets including seven benchmark data-sets, Toy data, MNIST and Face images. Empirical experiments indicate that Universum contributes to making prediction accuracy improved even stable. Especially when fewer labelled samples given, ULS$\mathfrak {U}_\mathcal {LS}$-TSVM is far superior to the improved LS-TSVM (ILS-TSVM), and slightly superior to the U$\mathfrak {U}$-TSVM. Journal: International Journal of Systems Science Pages: 3637-3645 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1110212 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1110212 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3637-3645 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaojun Ban Author-X-Name-First: Xiaojun Author-X-Name-Last: Ban Author-Name: Fen Wu Author-X-Name-First: Fen Author-X-Name-Last: Wu Title: Output feedback control of linear fractional transformation systems subject to actuator saturation Abstract: In this paper, the control problem for a class of linear parameter varying (LPV) plant subject to actuator saturation is investigated. For the saturated LPV plant depending on the scheduling parameters in linear fractional transformation (LFT) fashion, a gain-scheduled output feedback controller in the LFT form is designed to guarantee the stability of the closed-loop LPV system and provide optimised disturbance/error attenuation performance. By using the congruent transformation, the synthesis condition is formulated as a convex optimisation problem in terms of a finite number of LMIs for which efficient optimisation techniques are available. The nonlinear inverted pendulum problem is employed to demonstrate the effectiveness of the proposed approach. Moreover, the comparison between our LPV saturated approach with an existing linear saturated method reveals the advantage of the LPV controller when handling nonlinear plants. Journal: International Journal of Systems Science Pages: 3646-3655 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1110213 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1110213 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3646-3655 Template-Type: ReDIF-Article 1.0 Author-Name: Dong Yang Author-X-Name-First: Dong Author-X-Name-Last: Yang Author-Name: Jun Zhao Author-X-Name-First: Jun Author-X-Name-Last: Zhao Title: Observer-based resilient control for a class of switched LPV systems and its application Abstract: This paper deals with the issue of observer-based H∞ resilient control for a class of switched linear parameter-varying (LPV) systems by utilising a multiple parameter-dependent Lyapunov functions method. First, attention is focused upon the design of a resilient observer, an observer-based resilient controller and a parameter and estimate state-dependent switching signal, which can stabilise and achieve the disturbance attenuation for the given systems. Then, a solvability condition of the H∞ resilient control problem is given in terms of matrix inequality for the switched LPV systems. This condition allows the H∞ resilient control problem for each individual subsystem to be unsolvable. The observer, controller, and switching signal are explicitly computed by solving linear matrix inequalities (LMIs). Finally, the effectiveness of the proposed control scheme is illustrated by its application to a turbofan engine, which can hardly be handled by the existing approaches. Journal: International Journal of Systems Science Pages: 3656-3667 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1110640 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1110640 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3656-3667 Template-Type: ReDIF-Article 1.0 Author-Name: Chengdai Huang Author-X-Name-First: Chengdai Author-X-Name-Last: Huang Author-Name: Jinde Cao Author-X-Name-First: Jinde Author-X-Name-Last: Cao Author-Name: Zhongjun Ma Author-X-Name-First: Zhongjun Author-X-Name-Last: Ma Title: Delay-induced bifurcation in a tri-neuron fractional neural network Abstract: This paper investigates the issue of stability and bifurcation for a delayed fractional neural network with three neurons by applying the sum of time delays as the bifurcation parameter. Based on fractional Laplace transform and the method of stability switches, some explicit conditions for describing the stability interval and emergence of Hopf bifurcation are derived. The analysis indicates that time delay can effectively enhance the stability of fractional neural networks. In addition, it is found that the stability interval can be varied by regulating the fractional order if all the parameters are fixed including time delay. Finally, numerical examples are presented to validate the derived theoretical results. Journal: International Journal of Systems Science Pages: 3668-3677 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1110641 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1110641 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3668-3677 Template-Type: ReDIF-Article 1.0 Author-Name: Wei Wang Author-X-Name-First: Wei Author-X-Name-Last: Wang Author-Name: Fangfang Zhang Author-X-Name-First: Fangfang Author-X-Name-Last: Zhang Author-Name: Chunyan Han Author-X-Name-First: Chunyan Author-X-Name-Last: Han Title: Distributed LQR control for discrete-time homogeneous systems Abstract: This paper investigates the distributed linear quadratic regulation (LQR) controller design method for discrete-time homogeneous scalar systems. Based on the optimal centralised control theory, the existence condition for distributed optimal controller is firstly proposed. It shows that the globally optimal distributed controller is dependent on the structure of the penalty matrix. Such results can be used in consensus problems and used to find under which communication topology (may not be an all-to-all form) the optimal distributed controller exists. When the proposed condition cannot hold, a suboptimal design method with the aid of the decomposition of discrete algebraic Riccati equations and robustness of local controllers is proposed. The computation complexity and communication load for each subsystem are only dependent on the number of its neighbours. Journal: International Journal of Systems Science Pages: 3678-3687 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1112931 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1112931 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3678-3687 Template-Type: ReDIF-Article 1.0 Author-Name: Zixiao Guan Author-X-Name-First: Zixiao Author-X-Name-Last: Guan Author-Name: Yongtao Zhang Author-X-Name-First: Yongtao Author-X-Name-Last: Zhang Author-Name: Baihai Zhang Author-X-Name-First: Baihai Author-X-Name-Last: Zhang Author-Name: Lijing Dong Author-X-Name-First: Lijing Author-X-Name-Last: Dong Title: Voronoi-based localisation algorithm for mobile sensor networks Abstract: Localisation is an essential and important part in wireless sensor networks (WSNs). Many applications require location information. So far, there are less researchers studying on mobile sensor networks (MSNs) than static sensor networks (SSNs). However, MSNs are required in more and more areas such that the number of anchor nodes can be reduced and the location accuracy can be improved. In this paper, we firstly propose a range-free Voronoi-based Monte Carlo localisation algorithm (VMCL) for MSNs. We improve the localisation accuracy by making better use of the information that a sensor node gathers. Then, we propose an optimal region selection strategy of Voronoi diagram based on VMCL, called ORSS-VMCL, to increase the efficiency and accuracy for VMCL by adapting the size of Voronoi area during the filtering process. Simulation results show that the accuracy of these two algorithms, especially ORSS-VMCL, outperforms traditional MCL. Journal: International Journal of Systems Science Pages: 3688-3695 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1116639 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1116639 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3688-3695 Template-Type: ReDIF-Article 1.0 Author-Name: Hongjiu Yang Author-X-Name-First: Hongjiu Author-X-Name-Last: Yang Author-Name: Qing Geng Author-X-Name-First: Qing Author-X-Name-Last: Geng Author-Name: Yuanqing Xia Author-X-Name-First: Yuanqing Author-X-Name-Last: Xia Author-Name: Li Li Author-X-Name-First: Li Author-X-Name-Last: Li Title: Stability analysis for delta operator systems subject to state saturation Abstract: In this paper, we investigate the problem of stability analysis for linear delta operator systems subject to state saturation. Both full state saturation and partial state saturation are investigated for the delta operator systems. Two equivalent necessary and sufficient conditions are identified such that the system with full state saturation is globally asymptotically stable. Based on the sufficient conditions, an iterative algorithm is proposed for testing global asymptotic stability of the system with full state saturation. A new globally asymptotically stable condition is also proposed for the partial state saturation system. Two numerical examples on a ball and beam model are given to show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 3696-3703 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1116642 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1116642 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3696-3703 Template-Type: ReDIF-Article 1.0 Author-Name: Peng Shi Author-X-Name-First: Peng Author-X-Name-Last: Shi Author-Name: Hongjiu Yang Author-X-Name-First: Hongjiu Author-X-Name-Last: Yang Author-Name: Luyang Zhang Author-X-Name-First: Luyang Author-X-Name-Last: Zhang Title: Analysis and design of delta operator systems with nested actuator saturation Abstract: In this paper, the problem of estimating the domain of attraction is considered for delta operator systems subject to nested actuator saturation. A set invariance condition is established for the delta operator system with nested actuator saturation in terms of auxiliary feedback matrices. Based on the set invariance condition, an optimisation approach is proposed to estimate the domain of attraction for the delta operator system. Thereby, the partial results of nested actuator saturation for both continuous-time systems and discrete-time systems are extended to delta operator system framework. A numerical example is provided to illustrate the effectiveness of the proposed design techniques. Journal: International Journal of Systems Science Pages: 3704-3710 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1116643 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1116643 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3704-3710 Template-Type: ReDIF-Article 1.0 Author-Name: Wen-Juan Wu Author-X-Name-First: Wen-Juan Author-X-Name-Last: Wu Author-Name: Guang-Ren Duan Author-X-Name-First: Guang-Ren Author-X-Name-Last: Duan Title: Gain scheduled control of linear systems with unsymmetrical saturation actuators Abstract: The problem of stabilisation of a class of nonlinear continuous-time systems with asymmetric saturations on the control is studied in this paper. By combining the parametric Lyapunov equation approach and gain scheduling technique, a state feedback gain scheduling controller is proposed to solve the stabilisation problem of systems with unsymmetrical saturated control. The proposed gain scheduled approach is to increase the value of the design parameter so that the convergence rate of the closed-loop system can be increased. Numerical simulations show the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 3711-3719 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1117157 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1117157 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3711-3719 Template-Type: ReDIF-Article 1.0 Author-Name: Yukang Cui Author-X-Name-First: Yukang Author-X-Name-Last: Cui Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Author-Name: Zhiguang Feng Author-X-Name-First: Zhiguang Author-X-Name-Last: Feng Author-Name: Jun Shen Author-X-Name-First: Jun Author-X-Name-Last: Shen Title: Robust admissibility and admissibilisation of uncertain discrete singular time-delay systems Abstract: This paper is concerned with the characterisation of robust admissibility and admissibilisation for uncertain discrete-time singular system with interval time-varying delay. Considering the norm-bounded uncertainty and the interval time-varying delay, a new comparison model is introduced to transform the original singular system into two connected subsystems. After this transformation, a singular system without uncertainty and delay can be handled by the Lyapunov–Krasovskii functional method. By virtue of the scaled small gain theorem, an admissibility condition of the original singular system is proposed in terms of linear matrix inequalities. Moreover, the problem of robust admissibilisation of uncertain discrete singular time-varying system is also studied by iterative linear matrix inequality algorithm with initial condition optimisation. Several numerical examples are used to illustrate that the results are less conservative than existing ones. Journal: International Journal of Systems Science Pages: 3720-3729 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1117158 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1117158 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3720-3729 Template-Type: ReDIF-Article 1.0 Author-Name: Yang Yang Author-X-Name-First: Yang Author-X-Name-Last: Yang Author-Name: Dong Yue Author-X-Name-First: Dong Author-X-Name-Last: Yue Author-Name: Deming Yuan Author-X-Name-First: Deming Author-X-Name-Last: Yuan Title: Adaptive neural tracking control of a class of MIMO pure-feedback time-delay nonlinear systems with input saturation Abstract: Considering interconnections among subsystems, we propose an adaptive neural tracking control scheme for a class of multiple-input-multiple-output (MIMO) non-affine pure-feedback time-delay nonlinear systems with input saturation. Neural networks (NNs) are employed to approximate unknown functions in the design procedure, and the separation technology is introduced here to tackle the problem induced from unknown time-delay items. The adaptive neural tracking control scheme is constructed by combining Lyapunov–Krasovskii functionals, NNs, the auxiliary system, the implicit function theory and the mean value theorem along with the dynamic surface control technique. Also, it is proven that the strategy guarantees tracking errors converge to a small neighbourhood around the origin by appropriate choice of design parameters and all signals in the closed-loop system uniformly ultimately bounded. Numerical simulation results are presented to demonstrate the effectiveness of the proposed control strategy. Journal: International Journal of Systems Science Pages: 3730-3740 Issue: 15 Volume: 47 Year: 2016 Month: 11 X-DOI: 10.1080/00207721.2015.1119913 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1119913 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:15:p:3730-3740 Template-Type: ReDIF-Article 1.0 Author-Name: Sadok Rezig Author-X-Name-First: Sadok Author-X-Name-Last: Rezig Author-Name: Zied Achour Author-X-Name-First: Zied Author-X-Name-Last: Achour Author-Name: Nidhal Rezg Author-X-Name-First: Nidhal Author-X-Name-Last: Rezg Author-Name: Mohamed-Ali Kammoun Author-X-Name-First: Mohamed-Ali Author-X-Name-Last: Kammoun Title: Supervisory control based on minimal cuts and Petri net sub-controllers coordination Abstract: This paper addresses the synthesis of Petri net (PN) controller for the forbidden state transition problem with a new utilisation of the theory of regions. Moreover, as any method of control synthesis based on a reachability graph, the theory of regions suffers from the combinatorial explosion problem. The proposed work minimises the number of equations in the linear system of theory of regions and therefore one can reduce the computation time. In this paper, two different approaches are proposed to select minimal cuts in the reachability graph in order to synthesise a PN controller. Thanks to a switch from one cut to another, one can activate and deactivate the corresponding PNcontroller. An application is implemented in a flexible manufacturing system to illustrate the present method. Finally, comparison with previous works with experimental results in obtaining a maximally permissive controller is presented. Journal: International Journal of Systems Science Pages: 3425-3435 Issue: 14 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1076903 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1076903 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:14:p:3425-3435 Template-Type: ReDIF-Article 1.0 Author-Name: Yongming Li Author-X-Name-First: Yongming Author-X-Name-Last: Li Author-Name: Shaocheng Tong Author-X-Name-First: Shaocheng Author-X-Name-Last: Tong Title: Adaptive fuzzy switched control design for uncertain nonholonomic systems with input nonsmooth constraint Abstract: In this paper, a fuzzy adaptive switched control approach is proposed for a class of uncertain nonholonomic chained systems with input nonsmooth constraint. In the control design, an auxiliary dynamic system is designed to address the input nonsmooth constraint, and an adaptive switched control strategy is constructed to overcome the uncontrollability problem associated with x0(t0) = 0. By using fuzzy logic systems to tackle unknown nonlinear functions, a fuzzy adaptive control approach is explored based on the adaptive backstepping technique. By constructing the combination approximation technique and using Young's inequality scaling technique, the number of the online learning parameters is reduced to n and the ‘explosion of complexity’ problem is avoid. It is proved that the proposed method can guarantee that all variables of the closed-loop system converge to a small neighbourhood of zero. Two simulation examples are provided to illustrate the effectiveness of the proposed control approach. Journal: International Journal of Systems Science Pages: 3436-3446 Issue: 14 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1084394 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1084394 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:14:p:3436-3446 Template-Type: ReDIF-Article 1.0 Author-Name: R. Sakthivel Author-X-Name-First: R. Author-X-Name-Last: Sakthivel Author-Name: S. Selvi Author-X-Name-First: S. Author-X-Name-Last: Selvi Author-Name: K. Mathiyalagan Author-X-Name-First: K. Author-X-Name-Last: Mathiyalagan Author-Name: Y. Shi Author-X-Name-First: Y. Author-X-Name-Last: Shi Title: Reliable gain-scheduled control of discrete-time systems and its application to CSTR model Abstract: This paper is focused on reliable gain-scheduled controller design for a class of discrete-time systems with randomly occurring nonlinearities and actuator fault. Further, the nonlinearity in the system model is assumed to occur randomly according to a Bernoulli distribution with measurable time-varying probability in real time. The main purpose of this paper is to design a gain-scheduled controller by implementing a probability-dependent Lyapunov function and linear matrix inequality (LMI) approach such that the closed-loop discrete-time system is stochastically stable for all admissible randomly occurring nonlinearities. The existence conditions for the reliable controller is formulated in terms of LMI constraints. Finally, the proposed reliable gain-scheduled control scheme is applied on continuously stirred tank reactor model to demonstrate the effectiveness and applicability of the proposed design technique. Journal: International Journal of Systems Science Pages: 3447-3454 Issue: 14 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1084395 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1084395 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:14:p:3447-3454 Template-Type: ReDIF-Article 1.0 Author-Name: Lizhen Li Author-X-Name-First: Lizhen Author-X-Name-Last: Li Title: Observer-based controller for 2-D T–S fuzzy model Abstract: This paper develops a method of fuzzy observer-based H∞ controller design for two-dimensional (2-D) discrete Takagi–Sugeno (T–S) fuzzy systems. By reformulating the system, a linear matrix inequality (LMI)-based sufficient condition is derived. Then the fuzzy controller and the fuzzy observer can be independently designed, which guarantee an H∞ noise attenuation γ of the whole system. Owing to the introduction of free matrices, the presented design method has a wider range of application and can guarantee a better H∞ performance of the closed-loop fuzzy control system. Simulation results have demonstrated the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 3455-3464 Issue: 14 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1084396 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1084396 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:14:p:3455-3464 Template-Type: ReDIF-Article 1.0 Author-Name: Q. M. Zhu Author-X-Name-First: Q. M. Author-X-Name-Last: Zhu Author-Name: D. Y. Zhao Author-X-Name-First: D. Y. Author-X-Name-Last: Zhao Author-Name: Jianhua Zhang Author-X-Name-First: Jianhua Author-X-Name-Last: Zhang Title: A general U-block model-based design procedure for nonlinear polynomial control systems Abstract: The proposition of U-model concept (in terms of ‘providing concise and applicable solutions for complex problems’) and a corresponding basic U-control design algorithm was originated in the first author's PhD thesis. The term of U-model appeared (not rigorously defined) for the first time in the first author's other journal paper, which established a framework for using linear polynomial control system design approaches to design nonlinear polynomial control systems (in brief, linear polynomial approaches → nonlinear polynomial plants). This paper represents the next milestone work – using linear state-space approaches to design nonlinear polynomial control systems (in brief, linear state-space approaches → nonlinear polynomial plants). The overall aim of the study is to establish a framework, defined as the U-block model, which provides a generic prototype for using linear state-space-based approaches to design the control systems with smooth nonlinear plants/processes described by polynomial models. For analysing the feasibility and effectiveness, sliding mode control design approach is selected as an exemplary case study. Numerical simulation studies provide a user-friendly step-by-step procedure for the readers/users with interest in their ad hoc applications. In formality, this is the first paper to present the U-model-oriented control system design in a formal way and to study the associated properties and theorems. The previous publications, in the main, have been algorithm-based studies and simulation demonstrations. In some sense, this paper can be treated as a landmark for the U-model-based research from intuitive/heuristic stage to rigour/formal/comprehensive studies. Journal: International Journal of Systems Science Pages: 3465-3475 Issue: 14 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1086930 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1086930 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:14:p:3465-3475 Template-Type: ReDIF-Article 1.0 Author-Name: Chen Zhang Author-X-Name-First: Chen Author-X-Name-Last: Zhang Author-Name: Zhiwei Ni Author-X-Name-First: Zhiwei Author-X-Name-Last: Ni Author-Name: Liping Ni Author-X-Name-First: Liping Author-X-Name-Last: Ni Author-Name: Na Tang Author-X-Name-First: Na Author-X-Name-Last: Tang Title: Feature selection method based on multi-fractal dimension and harmony search algorithm and its application Abstract: Feature selection is an important method of data preprocessing in data mining. In this paper, a novel feature selection method based on multi-fractal dimension and harmony search algorithm is proposed. Multi-fractal dimension is adopted as the evaluation criterion of feature subset, which can determine the number of selected features. An improved harmony search algorithm is used as the search strategy to improve the efficiency of feature selection. The performance of the proposed method is compared with that of other feature selection algorithms on UCI data-sets. Besides, the proposed method is also used to predict the daily average concentration of PM2.5 in China. Experimental results show that the proposed method can obtain competitive results in terms of both prediction accuracy and the number of selected features. Journal: International Journal of Systems Science Pages: 3476-3486 Issue: 14 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1086931 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1086931 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:14:p:3476-3486 Template-Type: ReDIF-Article 1.0 Author-Name: Weimin Peng Author-X-Name-First: Weimin Author-X-Name-Last: Peng Author-Name: Aihong Chen Author-X-Name-First: Aihong Author-X-Name-Last: Chen Author-Name: Zhaozhe Gong Author-X-Name-First: Zhaozhe Author-X-Name-Last: Gong Title: Feature fusion based on Wootters metric Abstract: For further enhancing the completeness and conciseness of the existing quantum-inspired feature fusion methods, this paper applies the quantum-related theories of Wootters metric and Fisher linear discriminant to dimension reduction and feature fusion. From the perspective of quantum metric spaces, i.e. phase space and probability space, this paper proposes two different feature fusion methods which take the Wootters statistical distance as the key factor to detect and fuse the duplicate feature data, and are different to the already developed quantum-inspired feature fusion methods. The experimental results reflect the superiority of the proposed feature fusion methods based on the Wootters metric for their better performances on relative completeness and conciseness. Journal: International Journal of Systems Science Pages: 3487-3495 Issue: 14 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1086932 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1086932 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:14:p:3487-3495 Template-Type: ReDIF-Article 1.0 Author-Name: Yanzheng Zhu Author-X-Name-First: Yanzheng Author-X-Name-Last: Zhu Author-Name: Lixian Zhang Author-X-Name-First: Lixian Author-X-Name-Last: Zhang Author-Name: Victor Sreeram Author-X-Name-First: Victor Author-X-Name-Last: Sreeram Author-Name: Wafa Shammakh Author-X-Name-First: Wafa Author-X-Name-Last: Shammakh Author-Name: Bashir Ahmad Author-X-Name-First: Bashir Author-X-Name-Last: Ahmad Title: Resilient model approximation for Markov jump time-delay systems via reduced model with hierarchical Markov chains Abstract: In this paper, the resilient model approximation problem for a class of discrete-time Markov jump time-delay systems with input sector-bounded nonlinearities is investigated. A linearised reduced-order model is determined with mode changes subject to domination by a hierarchical Markov chain containing two different nonhomogeneous Markov chains. Hence, the reduced-order model obtained not only reflects the dependence of the original systems but also model external influence that is related to the mode changes of the original system. Sufficient conditions formulated in terms of bilinear matrix inequalities for the existence of such models are established, such that the resulting error system is stochastically stable and has a guaranteed l2-l∞ error performance. A linear matrix inequalities optimisation coupled with line search is exploited to solve for the corresponding reduced-order systems. The potential and effectiveness of the developed theoretical results are demonstrated via a numerical example. Journal: International Journal of Systems Science Pages: 3496-3507 Issue: 14 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1089450 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1089450 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:14:p:3496-3507 Template-Type: ReDIF-Article 1.0 Author-Name: Akshata Tandon Author-X-Name-First: Akshata Author-X-Name-Last: Tandon Author-Name: Amit Dhawan Author-X-Name-First: Amit Author-X-Name-Last: Dhawan Title: Non-fragile robust optimal guaranteed cost control of uncertain 2-D discrete state-delayed systems Abstract: This paper is concerned with the problem of non-fragile robust optimal guaranteed cost control for a class of uncertain two-dimensional (2-D) discrete state-delayed systems described by the general model with norm-bounded uncertainties. Our attention is focused on the design of non-fragile state feedback controllers such that the resulting closed-loop system is asymptotically stable and the closed-loop cost function value is not more than a specified upper bound for all admissible parameter uncertainties and controller gain variations. A sufficient condition for the existence of such controllers is established under the linear matrix inequality framework. Moreover, a convex optimisation problem is proposed to select a non-fragile robust optimal guaranteed cost controller stabilising the 2-D discrete state-delayed system as well as achieving the least guaranteed cost for the resulting closed-loop system. The proposed method is compared with the previously reported criterion. Finally, illustrative examples are given to show the potential of the proposed technique. Journal: International Journal of Systems Science Pages: 3303-3319 Issue: 14 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1122846 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1122846 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:14:p:3303-3319 Template-Type: ReDIF-Article 1.0 Author-Name: Ronghao Wang Author-X-Name-First: Ronghao Author-X-Name-Last: Wang Author-Name: Jianchun Xing Author-X-Name-First: Jianchun Author-X-Name-Last: Xing Author-Name: Juelong Li Author-X-Name-First: Juelong Author-X-Name-Last: Li Author-Name: Zhengrong Xiang Author-X-Name-First: Zhengrong Author-X-Name-Last: Xiang Title: Finite-time quantised feedback asynchronously switched control of sampled-data switched linear systems Abstract: This paper studies the problem of stabilising a sampled-data switched linear system by quantised feedback asynchronously switched controllers. The idea of a quantised feedback asynchronously switched control strategy originates in earlier work reflecting actual system characteristic of switching and quantising, respectively. A quantised scheme is designed depending on switching time using dynamic quantiser. When sampling time, system switching time and controller switching time are all not uniform, the proposed switching controllers guarantee the system to be finite-time stable by a piecewise Lyapunov function and the average dwell-time method. Simulation examples are provided to show the effectiveness of the developed results. Journal: International Journal of Systems Science Pages: 3320-3335 Issue: 14 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1129676 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1129676 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:14:p:3320-3335 Template-Type: ReDIF-Article 1.0 Author-Name: Yeong-Chan Chang Author-X-Name-First: Yeong-Chan Author-X-Name-Last: Chang Author-Name: Ming-Fang Wu Author-X-Name-First: Ming-Fang Author-X-Name-Last: Wu Title: Robust tracking control for a class of flexible-joint time-delay robots using only position measurements Abstract: In this paper, robust tracking control is investigated for a class of uncertain flexible-joint robots with time delays and time-varying perturbations. By employing the Lyapunov--Krasovskii functional technique and backstepping design technique, a novel robust tracking control scheme using only position measurements is developed such that all the states and signals of the closed-loop flexible-joint time-delay robot system remain bounded and the tracking error can asymptotically converge to a small neighbourhood around the origin. By appropriately choosing the weighting gains in the Lyapunov–Krasovskii functionals, the circular phenomenon in the controller design is overcome. Due to suitably designing the velocity observer and the virtual control input, the link-side dynamics does not need to be incorporated into the actuator-side tracking error dynamics, and so the complexity in the backstepping design is avoided. Consequently, we can easily construct the Lyapunov–Krasovskii functionals, and, in turn, the robust tracking control scheme developed here is a linear time-varying controller and can be simply implemented. Simulation examples are provided to verify the effectiveness of the proposed control algorithm. Journal: International Journal of Systems Science Pages: 3336-3349 Issue: 14 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1129677 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1129677 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:14:p:3336-3349 Template-Type: ReDIF-Article 1.0 Author-Name: Gang Wang Author-X-Name-First: Gang Author-X-Name-Last: Wang Author-Name: Chaoli Wang Author-X-Name-First: Chaoli Author-X-Name-Last: Wang Author-Name: Qinghui Du Author-X-Name-First: Qinghui Author-X-Name-Last: Du Author-Name: Xuan Cai Author-X-Name-First: Xuan Author-X-Name-Last: Cai Title: Distributed adaptive output consensus control of second-order systems containing unknown non-linear control gains Abstract: In this paper, we address the output consensus problem of tracking a desired trajectory for a group of second-order agents on a directed graph with a fixed topology. Each agent is modelled by a second-order non-linear system with unknown non-linear dynamics and unknown non-linear control gains. Only a subset of the agents is given access to the desired trajectory information directly. A distributed adaptive consensus protocol driving all agents to track the desired trajectory is presented using the backstepping technique and approximation technique of Fourier series (FSs). The FS structure is taken not only for tracking the non-linear dynamics but also the unknown portion in the controller design procedure, which can avoid virtual controllers containing the uncertain terms. Stability analysis and parameter convergence of the proposed algorithm are conducted based on the Lyapunov theory and the algebraic graph theory. It is also demonstrated that arbitrary small tracking errors can be achieved by appropriately choosing design parameters. Though the proposed work is applicable for second-order non-linear systems containing unknown non-linear control gains, the proposed controller design can be easily extended to higher-order non-linear systems containing unknown non-linear control gains. Simulation results show the effectiveness of the proposed schemes. Journal: International Journal of Systems Science Pages: 3350-3363 Issue: 14 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2016.1139760 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1139760 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:14:p:3350-3363 Template-Type: ReDIF-Article 1.0 Author-Name: Huaqing Li Author-X-Name-First: Huaqing Author-X-Name-Last: Li Author-Name: Guo Chen Author-X-Name-First: Guo Author-X-Name-Last: Chen Author-Name: Li Xiao Author-X-Name-First: Li Author-X-Name-Last: Xiao Title: Event-triggered nonlinear consensus in directed multi-agent systems with combinational state measurements Abstract: Event-triggered sampling control is motivated by the applications of embedded microprocessors equipped in the agents with limited computation and storage resources. This paper studied global consensus in multi-agent systems with inherent nonlinear dynamics on general directed networks using decentralised event-triggered strategy. For each agent, the controller updates are event-based and only triggered at its own event times by only utilising the locally current sampling data. A high-performance sampling event that only needs local neighbours’ states at their own discrete time instants is presented. Furthermore, we introduce two kinds of general algebraic connectivity for strongly connected networks and strongly connected components of the directed network containing a spanning tree so as to describe the system's ability for reaching consensus. A detailed theoretical analysis on consensus is performed and two criteria are derived by virtue of algebraic graph theory, matrix theory and Lyapunov control approach. It is shown that the Zeno behaviour of triggering time sequence is excluded during the system's whole working process. A numerical simulation is given to show the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 3364-3377 Issue: 14 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2016.1146973 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1146973 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:14:p:3364-3377 Template-Type: ReDIF-Article 1.0 Author-Name: Ben Niu Author-X-Name-First: Ben Author-X-Name-Last: Niu Author-Name: Tian Qin Author-X-Name-First: Tian Author-X-Name-Last: Qin Author-Name: Xiaodong Fan Author-X-Name-First: Xiaodong Author-X-Name-Last: Fan Title: Adaptive neural network tracking control for a class of switched stochastic pure-feedback nonlinear systems with backlash-like hysteresis Abstract: In this paper, an adaptive neural network tracking control approach is proposed for a class of switched stochastic pure-feedback nonlinear systems with backlash-like hysteresis. In the design procedure, an affine variable is constructed, which avoids the use of the mean value theorem, and the additional first-order low-pass filter is employed to deal with the problem of explosion of complexity. Then, a common Lyapunov function and a state feedback controller are explicitly obtained for all subsystems. It is proved that the proposed controller that guarantees all signals in the closed-loop system are semi-globally uniformly ultimately bounded and the tracking error remains an adjustable neighbourhood of the origin. Finally, simulation results show the effectiveness of the presented control design approach. Journal: International Journal of Systems Science Pages: 3378-3393 Issue: 14 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2016.1151962 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1151962 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:14:p:3378-3393 Template-Type: ReDIF-Article 1.0 Author-Name: Yuechao Ma Author-X-Name-First: Yuechao Author-X-Name-Last: Ma Author-Name: Lei Fu Author-X-Name-First: Lei Author-X-Name-Last: Fu Title: Finite-time control for discrete-time switched singular time-delay systems subject to actuator saturation via static output feedback Abstract: This study employs the multiple Lyapunov-like function method and the average dwell-time concept of switching signal to investigate the finite-time H∞ static output-feedback (SOF) control problem for a class of discrete-time switched singular time-delay systems subject to actuator saturation. First, sufficient conditions are presented to guarantee the discrete-time switched singular time-delay system regular, causal and finite-time boundedness. Meanwhile, sufficient conditions are presented to ensure the H∞ disturbance attenuation level, and the design method of H∞ SOF controller is developed by solving matrix inequalities optimisation problem without any decompositions of system matrices and equivalent transformation. Finally, the effectiveness and merit of the theoretical results are shown through some numerical examples and several vivid illustrations. Journal: International Journal of Systems Science Pages: 3394-3408 Issue: 14 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2016.1157225 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1157225 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:14:p:3394-3408 Template-Type: ReDIF-Article 1.0 Author-Name: Damiano Rotondo Author-X-Name-First: Damiano Author-X-Name-Last: Rotondo Author-Name: Marcin Witczak Author-X-Name-First: Marcin Author-X-Name-Last: Witczak Author-Name: Vicenç Puig Author-X-Name-First: Vicenç Author-X-Name-Last: Puig Author-Name: Fatiha Nejjari Author-X-Name-First: Fatiha Author-X-Name-Last: Nejjari Author-Name: Marcin Pazera Author-X-Name-First: Marcin Author-X-Name-Last: Pazera Title: Robust unknown input observer for state and fault estimation in discrete-time Takagi–Sugeno systems Abstract: In this paper, a robust unknown input observer (UIO) for the joint state and fault estimation in discrete-time Takagi–Sugeno (TS) systems is presented. The proposed robust UIO, by applying the H∞$\mathcal {H}_\infty$ framework, leads to a less restrictive design procedure with respect to recent results found in the literature. The resulting design procedure aims at achieving a prescribed attenuation level with respect to the exogenous disturbances, while obtaining at the same time the convergence of the observer with a desired bound on the decay rate. An extension to the case of unmeasurable premise variables is also provided. Since the design conditions reduce to a set of linear matrix inequalities that can be solved efficiently using the available software, an evident advantage of the proposed approach is its simplicity. The final part of the paper presents an academic example and a real application to a multi-tank system, which exhibit clearly the performance and effectiveness of the proposed strategy. Journal: International Journal of Systems Science Pages: 3409-3424 Issue: 14 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2016.1165898 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1165898 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:14:p:3409-3424 Template-Type: ReDIF-Article 1.0 Author-Name: Zhi-Hui Zhang Author-X-Name-First: Zhi-Hui Author-X-Name-Last: Zhang Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Fault detection for discrete-time LPV systems using interval observers Abstract: This paper is concerned with the fault detection (FD) problem for discrete-time linear parameter-varying systems subject to bounded disturbances. A parameter-dependent FD interval observer is designed based on parameter-dependent Lyapunov and slack matrices. The design method is presented by translating the parameter-dependent linear matrix inequalities (LMIs) into finite ones. In contrast to the existing results based on parameter-independent and diagonal Lyapunov matrices, the derived disturbance attenuation, fault sensitivity and nonnegative conditions lead to less conservative LMI characterisations. Furthermore, without the need to design the residual evaluation functions and thresholds, the residual intervals generated by the interval observers are used directly for FD decision. Finally, simulation results are presented for showing the effectiveness and superiority of the proposed method. Journal: International Journal of Systems Science Pages: 2921-2935 Issue: 14 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1363926 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1363926 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:2921-2935 Template-Type: ReDIF-Article 1.0 Author-Name: Chengzhi Yuan Author-X-Name-First: Chengzhi Author-X-Name-Last: Yuan Author-Name: Fen Wu Author-X-Name-First: Fen Author-X-Name-Last: Wu Title: Consensus for multi-agent systems with time-varying input delays Abstract: This paper addresses the consensus control problem for linear multi-agent systems subject to uniform time-varying input delays and external disturbance. A novel state-feedback consensus protocol is proposed under the integral quadratic constraint (IQC) framework, which utilises not only the relative state information from neighbouring agents but also the real-time information of delays by means of the dynamic IQC system states for feedback control. Based on this new consensus protocol, the associated IQC-based control synthesis conditions are established and fully characterised as linear matrix inequalities (LMIs), such that the consensus control solution with optimal H∞$\mathcal {H}_\infty$ disturbance attenuation performance can be synthesised efficiently via convex optimisation. A numerical example is used to demonstrate the proposed approach. Journal: International Journal of Systems Science Pages: 2956-2966 Issue: 14 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1363927 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1363927 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:2956-2966 Template-Type: ReDIF-Article 1.0 Author-Name: Feng-Hsiag Hsiao Author-X-Name-First: Feng-Hsiag Author-X-Name-Last: Hsiao Title: Applying elliptic curve cryptography to a chaotic synchronisation system: neural-network-based approach Abstract: In order to obtain double encryption via elliptic curve cryptography (ECC) and chaotic synchronisation, this study presents a design methodology for neural-network (NN)-based secure communications in multiple time-delay chaotic systems. ECC is an asymmetric encryption and its strength is based on the difficulty of solving the elliptic curve discrete logarithm problem which is a much harder problem than factoring integers. Because it is much harder, we can get away with fewer bits to provide the same level of security. To enhance the strength of the cryptosystem, we conduct double encryption that combines chaotic synchronisation with ECC. According to the improved genetic algorithm, a fuzzy controller is synthesised to realise the exponential synchronisation and achieves optimal H∞ performance by minimising the disturbances attenuation level. Finally, a numerical example with simulations is given to demonstrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 3044-3059 Issue: 14 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1364446 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1364446 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:3044-3059 Template-Type: ReDIF-Article 1.0 Author-Name: Wenhai Qi Author-X-Name-First: Wenhai Author-X-Name-Last: Qi Author-Name: Yonggui Kao Author-X-Name-First: Yonggui Author-X-Name-Last: Kao Author-Name: Xianwen Gao Author-X-Name-First: Xianwen Author-X-Name-Last: Gao Title: Further results on finite-time stabilisation for stochastic Markovian jump systems with time-varying delay Abstract: In this paper, we study the issue of finite-time stabilisation for stochastic Markovian jump systems with time-varying delay by considering a new criterion on finite-time stability. By constructing more appropriate Lyapunov–Krasovskii functional, some new conditions for verifying the finite-time stability of the plant as well as controller synthesis are established in standard linear matrix inequalities. The practical example about a single-link robot arm model demonstrates the validity of the main results. Journal: International Journal of Systems Science Pages: 2967-2975 Issue: 14 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1364447 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1364447 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:2967-2975 Template-Type: ReDIF-Article 1.0 Author-Name: Jinsha Li Author-X-Name-First: Jinsha Author-X-Name-Last: Li Author-Name: Sanyang Liu Author-X-Name-First: Sanyang Author-X-Name-Last: Liu Author-Name: Junmin Li Author-X-Name-First: Junmin Author-X-Name-Last: Li Title: Observer-based distributed adaptive iterative learning control for linear multi-agent systems Abstract: This paper investigates the consensus problem for linear multi-agent systems from the viewpoint of two-dimensional systems when the state information of each agent is not available. Observer-based fully distributed adaptive iterative learning protocol is designed in this paper. A local observer is designed for each agent and it is shown that without using any global information about the communication graph, all agents achieve consensus perfectly for all undirected connected communication graph when the number of iterations tends to infinity. The Lyapunov-like energy function is employed to facilitate the learning protocol design and property analysis. Finally, simulation example is given to illustrate the theoretical analysis. Journal: International Journal of Systems Science Pages: 2948-2955 Issue: 14 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1365966 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1365966 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:2948-2955 Template-Type: ReDIF-Article 1.0 Author-Name: Arash Sadeghzadeh Author-X-Name-First: Arash Author-X-Name-Last: Sadeghzadeh Title: Gain-scheduled static output feedback controller synthesis for discrete-time LPV systems Abstract: This study is concerned with the problem of gain-scheduled static output feedback H∞ controller synthesis for discrete-time linear parameter varying systems. The scheduling parameters, which may affect all the system matrices, and their deviations are supposed to lie in a known hyper-rectangle. A design procedure is presented in terms of sequentially solving three parameter-dependent linear matrix inequality (LMI) optimisation problems. The parameter-dependent LMIs are solved through finite-dimensional LMI relaxations exploiting homogeneous polynomial matrices of arbitrary degree. One of the advantages of the new method lies in its less conservatism which is theoretically shown in comparison with some available approaches. By an iterative scheme, the performance of the method can be improved. Numerical examples reveal the effectiveness of the new method. Journal: International Journal of Systems Science Pages: 2936-2947 Issue: 14 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1365967 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1365967 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:2936-2947 Template-Type: ReDIF-Article 1.0 Author-Name: Pu Ji Author-X-Name-First: Pu Author-X-Name-Last: Ji Author-Name: Hong-yu Zhang Author-X-Name-First: Hong-yu Author-X-Name-Last: Zhang Author-Name: Jian-qiang Wang Author-X-Name-First: Jian-qiang Author-X-Name-Last: Wang Title: Fuzzy decision-making framework for treatment selection based on the combined QUALIFLEX–TODIM method Abstract: Treatment selection is a multi-criteria decision-making problem of significant concern in the medical field. In this study, a fuzzy decision-making framework is established for treatment selection. The framework mitigates information loss by introducing single-valued trapezoidal neutrosophic numbers to denote evaluation information. Treatment selection has multiple criteria that remarkably exceed the alternatives. In consideration of this characteristic, the framework utilises the idea of the qualitative flexible multiple criteria method. Furthermore, it considers the risk-averse behaviour of a decision maker by employing a concordance index based on TODIM (an acronym in Portuguese of interactive and multi-criteria decision-making) method. A sensitivity analysis is performed to illustrate the robustness of the framework. Finally, a comparative analysis is conducted to compare the framework with several extant methods. Results indicate the advantages of the framework and its better performance compared with the extant methods. Journal: International Journal of Systems Science Pages: 3072-3086 Issue: 14 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1365968 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1365968 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:3072-3086 Template-Type: ReDIF-Article 1.0 Author-Name: Dominik Sierociuk Author-X-Name-First: Dominik Author-X-Name-Last: Sierociuk Author-Name: Wiktor Malesza Author-X-Name-First: Wiktor Author-X-Name-Last: Malesza Title: Fractional variable order discrete-time systems, their solutions and properties Abstract: In this paper, fractional variable order discrete state-space systems based on different definitions of fractional variable order difference are investigated.The general solution of these systems is derived. Moreover, necessary and sufficient conditions for reachability and observability are given and proven. The sufficient conditions for controllability are proposed too. Journal: International Journal of Systems Science Pages: 3098-3105 Issue: 14 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1365969 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1365969 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:3098-3105 Template-Type: ReDIF-Article 1.0 Author-Name: Yingqi Zhang Author-X-Name-First: Yingqi Author-X-Name-Last: Zhang Author-Name: Yan Shi Author-X-Name-First: Yan Author-X-Name-Last: Shi Author-Name: Xiaowu Mu Author-X-Name-First: Xiaowu Author-X-Name-Last: Mu Author-Name: Caixia Liu Author-X-Name-First: Caixia Author-X-Name-Last: Liu Title: control for conic non-linear jump systems with partially unknown transition probabilities Abstract: In this paper, the robust H∞ control problem is investigated for conic non-linear stochastic jump systems with partially unknown transition probabilities and uncertain exogenous disturbance. By resorting to free-connection weighting matrix approach and matrix decomposition technique, two less conservative criteria are derived such that the nominal or uncertain Markovian jump non-linear systems are stochastically stable and have an H∞ attention level. In addition, stochastic H∞ control analysis and design are tackled for the class of stochastic jump systems by applying fixed weighting matrix method. Two numerical examples are presented to verify the effectiveness of theoretical results. Journal: International Journal of Systems Science Pages: 2976-2984 Issue: 14 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1365971 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1365971 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:2976-2984 Template-Type: ReDIF-Article 1.0 Author-Name: Deyin Yao Author-X-Name-First: Deyin Author-X-Name-Last: Yao Author-Name: Renquan Lu Author-X-Name-First: Renquan Author-X-Name-Last: Lu Author-Name: Yong Xu Author-X-Name-First: Yong Author-X-Name-Last: Xu Author-Name: Hongru Ren Author-X-Name-First: Hongru Author-X-Name-Last: Ren Title: Observer-based sliding mode control of Markov jump systems with random sensor delays and partly unknown transition rates Abstract: In this paper, the sliding mode control problem of Markov jump systems (MJSs) with unmeasured state, partly unknown transition rates and random sensor delays is probed. In the practical engineering control, the exact information of transition rates is hard to obtain and the measurement channel is supposed to subject to random sensor delay. Design a Luenberger observer to estimate the unmeasured system state, and an integral sliding mode surface is constructed to ensure the exponential stability of MJSs. A sliding mode controller based on estimator is proposed to drive the system state onto the sliding mode surface and render the sliding mode dynamics exponentially mean-square stable with H∞ performance index. Finally, simulation results are provided to illustrate the effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 2985-2996 Issue: 14 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1365972 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1365972 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:2985-2996 Template-Type: ReDIF-Article 1.0 Author-Name: A. Javadi Author-X-Name-First: A. Author-X-Name-Last: Javadi Author-Name: M. R. Jahed-Motlagh Author-X-Name-First: M. R. Author-X-Name-Last: Jahed-Motlagh Author-Name: A. A. Jalali Author-X-Name-First: A. A. Author-X-Name-Last: Jalali Title: Input delay compensation of nonlinear stochastic systems with both state and input delays by prediction approach Abstract: In this study, we present an extension of the prediction scheme (dynamic control) for nonlinear stochastic systems with both input and state delays. The stochastic system includes multiplicative noise and it is modelled as Ito stochastic differential equation. Input delay is considered to be equal or less than state delay and both delays are considered to be constant. At first, a new formula for prediction of the system's state is presented and then by means of this prediction vector, control input is constructed. To calculate the stabilising gain of the predictive controller, some sufficient delay-independent conditions in the form of linear matrix inequality are presented. Finally, simulation examples are given to illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 3007-3017 Issue: 14 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1367048 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1367048 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:3007-3017 Template-Type: ReDIF-Article 1.0 Author-Name: Wenjie Si Author-X-Name-First: Wenjie Author-X-Name-Last: Si Author-Name: Xunde Dong Author-X-Name-First: Xunde Author-X-Name-Last: Dong Author-Name: Feifei Yang Author-X-Name-First: Feifei Author-X-Name-Last: Yang Title: Adaptive neural tracking control for nonstrict-feedback stochastic nonlinear time-delay systems with full-state constraints Abstract: An adaptive neural tracking control is investigated for a class of nonstrict-feedback stochastic nonlinear time-delay systems with full-state constraints and saturation input. First, the continuous differentiable saturation model is employed to ensure the input constraint, and a barrier Lyapunov function is designed to achieve the full-state constraint. Second, the appropriate Lyapunov–Krasovskii functional and the property of hyperbolic tangent functions are used to deal with the unknown time-delay terms, and neural networks are employed to approximate the unknown nonlinearities. Finally, based on Lyapunov stability theory, an adaptive controller is proposed to guarantee that all the signals in the closed-loop system are 4-Moment (or 2-Moment) semi-globally uniformly ultimately bounded and the tracking error converges to a small neighbourhood of the origin. Two examples are shown to further demonstrate the effectiveness of the proposed control scheme. Journal: International Journal of Systems Science Pages: 3018-3031 Issue: 14 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1367049 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1367049 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:3018-3031 Template-Type: ReDIF-Article 1.0 Author-Name: Qingzhi Wang Author-X-Name-First: Qingzhi Author-X-Name-Last: Wang Author-Name: Guanzheng Tan Author-X-Name-First: Guanzheng Author-X-Name-Last: Tan Author-Name: Yong He Author-X-Name-First: Yong Author-X-Name-Last: He Author-Name: Min Wu Author-X-Name-First: Min Author-X-Name-Last: Wu Title: Stability analysis of piecewise non-linear systems and its application to chaotic synchronisation with intermittent control Abstract: This paper considers a stability analysis issue of piecewise non-linear systems and applies it to intermittent synchronisation of chaotic systems. First, based on piecewise Lyapunov function methods, more general and less conservative stability criteria of piecewise non-linear systems in periodic and aperiodic cases are presented, respectively. Next, intermittent synchronisation conditions of chaotic systems are derived which extend existing results. Finally, Chua's circuit is taken as an example to verify the validity of our methods. Journal: International Journal of Systems Science Pages: 3032-3043 Issue: 14 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1367050 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1367050 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:3032-3043 Template-Type: ReDIF-Article 1.0 Author-Name: Juan M. Grosso Author-X-Name-First: Juan M. Author-X-Name-Last: Grosso Author-Name: Carlos Ocampo-Martinez Author-X-Name-First: Carlos Author-X-Name-Last: Ocampo-Martinez Author-Name: Vicenç Puig Author-X-Name-First: Vicenç Author-X-Name-Last: Puig Title: A distributed predictive control approach for periodic flow-based networks: application to drinking water systems Abstract: This paper proposes a distributed model predictive control approach designed to work in a cooperative manner for controlling flow-based networks showing periodic behaviours. Under this distributed approach, local controllers cooperate in order to enhance the performance of the whole flow network avoiding the use of a coordination layer. Alternatively, controllers use both the monolithic model of the network and the given global cost function to optimise the control inputs of the local controllers but taking into account the effect of their decisions over the remainder subsystems conforming the entire network. In this sense, a global (all-to-all) communication strategy is considered. Although the Pareto optimality cannot be reached due to the existence of non-sparse coupling constraints, the asymptotic convergence to a Nash equilibrium is guaranteed. The resultant strategy is tested and its effectiveness is shown when applied to a large-scale complex flow-based network: the Barcelona drinking water supply system. Journal: International Journal of Systems Science Pages: 3106-3117 Issue: 14 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1367051 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1367051 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:3106-3117 Template-Type: ReDIF-Article 1.0 Author-Name: Kongwei Zhu Author-X-Name-First: Kongwei Author-X-Name-Last: Zhu Author-Name: Jun Zhao Author-X-Name-First: Jun Author-X-Name-Last: Zhao Title: Simultaneous fault detection and control for switched LPV systems with inexact parameters and its application Abstract: This paper investigates the simultaneous fault detection and control problem for a switched linear parameter-varying (LPV) system. The inexact scheduling parameter-dependent fault detection filters and controllers are designed based on the output framework. To realise the detection and control goals, the inexact scheduling parameter-dependent sufficient LMI conditions are obtained by using multiple Lyapunov functions technique. A mode-dependent average dwell-time switching method is used, which is less strict than the general average dwell-time switching method. Simulation results on an aero-engine model show the feasibility and validity of the designed scheme. Journal: International Journal of Systems Science Pages: 2909-2920 Issue: 14 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1367052 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1367052 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:2909-2920 Template-Type: ReDIF-Article 1.0 Author-Name: Su Meng Author-X-Name-First: Su Author-X-Name-Last: Meng Author-Name: Jie Chen Author-X-Name-First: Jie Author-X-Name-Last: Chen Author-Name: Jian Sun Author-X-Name-First: Jian Author-X-Name-Last: Sun Title: Observer-based output feedback control of networked control systems with non-uniform sampling and time-varying delay Abstract: This paper investigates the problem of observer-based output feedback control for networked control systems with non-uniform sampling and time-varying transmission delay. The sampling intervals are assumed to vary within a given interval. The transmission delay belongs to a known interval. A discrete-time model is first established, which contains time-varying delay and norm-bounded uncertainties coming from non-uniform sampling intervals. It is then converted to an interconnection of two subsystems in which the forward channel is delay-free. The scaled small gain theorem is used to derive the stability condition for the closed-loop system. Moreover, the observer-based output feedback controller design method is proposed by utilising a modified cone complementary linearisation algorithm. Finally, numerical examples illustrate the validity and superiority of the proposed method. Journal: International Journal of Systems Science Pages: 3118-3128 Issue: 14 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1367053 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1367053 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:3118-3128 Template-Type: ReDIF-Article 1.0 Author-Name: Jian Li Author-X-Name-First: Jian Author-X-Name-Last: Li Author-Name: Qingling Zhang Author-X-Name-First: Qingling Author-X-Name-Last: Zhang Author-Name: Junchao Ren Author-X-Name-First: Junchao Author-X-Name-Last: Ren Author-Name: Yanhao Zhang Author-X-Name-First: Yanhao Author-X-Name-Last: Zhang Title: Robust decentralised stabilisation of uncertain large-scale interconnected nonlinear descriptor systems via proportional plus derivative feedback Abstract: This paper studies the problem of robust stability and stabilisation for uncertain large-scale interconnected nonlinear descriptor systems via proportional plus derivative state feedback or proportional plus derivative output feedback. The basic idea of this work is to use the well-known differential mean value theorem to deal with the nonlinear model such that the considered nonlinear descriptor systems can be transformed into linear parameter varying systems. By using a parameter-dependent Lyapunov function, a decentralised proportional plus derivative state feedback controller and decentralised proportional plus derivative output feedback controller are designed, respectively such that the closed-loop system is quadratically normal and quadratically stable. Finally, a hypersonic vehicle practical simulation example and numerical example are given to illustrate the effectiveness of the results obtained in this paper. Journal: International Journal of Systems Science Pages: 2997-3006 Issue: 14 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1367428 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1367428 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:2997-3006 Template-Type: ReDIF-Article 1.0 Author-Name: Xin Huang Author-X-Name-First: Xin Author-X-Name-Last: Huang Author-Name: Jiuxiang Dong Author-X-Name-First: Jiuxiang Author-X-Name-Last: Dong Title: Adaptive optimisation-offline cyber attack on remote state estimator Abstract: Security issues of cyber-physical systems have received increasing attentions in recent years. In this paper, deception attacks on the remote state estimator equipped with the chi-squared failure detector are considered, and it is assumed that the attacker can monitor and modify all the sensor data. A novel adaptive optimisation-offline cyber attack strategy is proposed, where using the current and previous sensor data, the attack can yield the largest estimation error covariance while ensuring to be undetected by the chi-squared monitor. From the attacker's perspective, the attack is better than the existing linear deception attacks to degrade the system performance. Finally, some numerical examples are provided to demonstrate theoretical results. Journal: International Journal of Systems Science Pages: 3060-3071 Issue: 14 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1367429 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1367429 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:3060-3071 Template-Type: ReDIF-Article 1.0 Author-Name: Zhikun She Author-X-Name-First: Zhikun Author-X-Name-Last: She Author-Name: Junjie Lu Author-X-Name-First: Junjie Author-X-Name-Last: Lu Author-Name: Quanyi Liang Author-X-Name-First: Quanyi Author-X-Name-Last: Liang Author-Name: Shuzhi Sam Ge Author-X-Name-First: Shuzhi Sam Author-X-Name-Last: Ge Title: Dwell time based stabilisability criteria for discrete-time switched systems Abstract: In this paper, we deal with the stabilisability problem of discrete-time switched systems constituted by all stable subsystems. We start with discrete-time switched nonlinear systems (SNSs$\mathtt {SNS}\text{s}$) and propose dwell time based criteria, in which the required Lyapunov-like functions are adapted to decrease after finite steps instead of at each step, for stabilisability, asymptotic stabilisability and exponential stabilisability, respectively. Meanwhile, the corresponding stabilising, asymptotically stabilising, exponentially stabilising switching rules can be explicitly constructed from these criteria. Afterwards, we derive two less conservative linear matrix inequality based asymptotic stabilisability criteria for discrete-time switched linear systems. In the end, two examples are given to illustrate the applicability and advantage of our extended results. Journal: International Journal of Systems Science Pages: 3087-3097 Issue: 14 Volume: 48 Year: 2017 Month: 10 X-DOI: 10.1080/00207721.2017.1367430 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1367430 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:14:p:3087-3097 Template-Type: ReDIF-Article 1.0 Author-Name: Xin Sui Author-X-Name-First: Xin Author-X-Name-Last: Sui Author-Name: Yongqing Yang Author-X-Name-First: Yongqing Author-X-Name-Last: Yang Author-Name: Shuai Zhang Author-X-Name-First: Shuai Author-X-Name-Last: Zhang Title: Lag synchronization of complex dynamical networks with randomly occurring parameter uncertainties and control packet loss via stochastic sampled-data control Abstract: This paper focuses on the lag synchronization of two general complex dynamical networks with randomly occurring parameter uncertainties and control packet loss. The randomly occurring uncertainties are adopted to reflect more realistic dynamical behaviours of complex networks that are caused by noisy environment. By introducing a Bernoulli distributed stochastic variable, the information of probabilistic time-varying delay is transformed into the deterministic time-varying delay with stochastic parameters. Sampled-data controllers with stochastically varying sampling intervals are considered and a switched system is used to describe packet dropouts in a deterministic way. Some sufficient conditions for the lag synchronization in the mean square are derived in terms of constructing an appropriate Lyapunov function and using linear matrix inequalities. Finally, a numerical example is given to show the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 2409-2423 Issue: 13 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2018.1551972 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1551972 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:13:p:2409-2423 Template-Type: ReDIF-Article 1.0 Author-Name: Tao Zhan Author-X-Name-First: Tao Author-X-Name-Last: Zhan Author-Name: Shuping Ma Author-X-Name-First: Shuping Author-X-Name-Last: Ma Author-Name: Xinzhi Liu Author-X-Name-First: Xinzhi Author-X-Name-Last: Liu Author-Name: Hao Chen Author-X-Name-First: Hao Author-X-Name-Last: Chen Title: Exponential stability and H∞ control of uncertain singular nonlinear switched systems with impulsive perturbations Abstract: This paper investigates the problems of exponential stability and robust $H_\infty $H∞ control for a general class of uncertain singular nonlinear switched systems subject to impulsive perturbations. An effective computational method is introduced for designing switched linear feedback controllers, which is based on the novel conditions on the solvability of the $H_\infty $H∞ control problem. The idea for decomposing the singular impulsive increments is applied in this development, which establishes some criteria on exponential stability. Comparing with some existing results on singular switched systems, this design is not only less conservative but also with reduced computational complexity. In addition, the effectiveness of the proposed approach is illustrated by numerical examples. Journal: International Journal of Systems Science Pages: 2424-2436 Issue: 13 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2019.1615572 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1615572 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:13:p:2424-2436 Template-Type: ReDIF-Article 1.0 Author-Name: Yu Zhang Author-X-Name-First: Yu Author-X-Name-Last: Zhang Author-Name: Changchun Hua Author-X-Name-First: Changchun Author-X-Name-Last: Hua Author-Name: Kuo Li Author-X-Name-First: Kuo Author-X-Name-Last: Li Title: Disturbance observer-based fixed-time prescribed performance tracking control for robotic manipulator Abstract: This paper investigates the fixed-time prescribed performance tracking control for the n-DOF uncertain manipulator. First, a novel Barrier Lyapunov Function (BLF) is proposed to guarantee the prescribed performance for the manipulator tracking error. Then, we introduce a disturbance observer to estimate the system uncertainty and disturbance accurately in a predefined time. Next, a composite controller based on the nonsingular fast integral terminal sliding mode is constructed. It is strictly proved that the closed-loop system is stable in fixed-time, which is independent of the initial conditions. Moreover, both transient and steady-state performances of the outputs can be preserved. Finally, numerical simulations and experimental studies are presented to demonstrate the effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 2437-2448 Issue: 13 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2019.1622818 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1622818 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:13:p:2437-2448 Template-Type: ReDIF-Article 1.0 Author-Name: Dun Ao Author-X-Name-First: Dun Author-X-Name-Last: Ao Author-Name: Xueli Wang Author-X-Name-First: Xueli Author-X-Name-Last: Wang Title: Consensus for time-delay multi-agent systems with H∞ performance in finite frequency domains Abstract: This paper considers the problem of robust control synthesis such that time-delay multi-agent systems are consensus and capture the finite frequency domain $H_{\infty } $H∞ performance. Using a linear transformation, the consensus problem is first transformed into a partial stability problem. Then, based on a dual version of generalised Kalman–Yakubovich–Popov (GKYP) lemma and a partial multiplier expansion method, new sufficient conditions guaranteeing the existence of static output feedback controller are proposed in terms of linear matrix inequalities (LMIs) without introducing conservatism. Finally, the effectiveness of the presented method is illustrated via a two-cart-one-spring system and a numerical example. Journal: International Journal of Systems Science Pages: 2449-2458 Issue: 13 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2019.1657200 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1657200 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:13:p:2449-2458 Template-Type: ReDIF-Article 1.0 Author-Name: Shaobao Li Author-X-Name-First: Shaobao Author-X-Name-Last: Li Author-Name: Tingting Ma Author-X-Name-First: Tingting Author-X-Name-Last: Ma Author-Name: Xiaoyuan Luo Author-X-Name-First: Xiaoyuan Author-X-Name-Last: Luo Author-Name: Zhenyu Yang Author-X-Name-First: Zhenyu Author-X-Name-Last: Yang Title: Robust output regulation for containment control of heterogeneous discrete-time nonlinear multi-agent systems Abstract: In existing researches on containment control of heterogeneous multi-agent systems (MASs), the solution is usually dependent on the solvability of regulator equations. However, the closed-form solution of many nonlinear regulator equations of systems is rarely obtained. Towards this end, in this paper the containment control problem of heterogeneous discrete-time nonlinear MASs subject to parameter uncertainties is considered, and the power series approach is adopted to solve complex regulator equations by decomposing them into a series of solvable linear equations. Then, a distributed robust control law based on internal model principle is presented by utilising the solution of the linear equations. Theoretical analysis shows that under certain assumptions asymptotic containment control is achieved for the heterogeneous discrete-time nonlinear MASs with sufficiently small parameter perturbations. Finally, a numerical simulation is implemented to verify the proposed control law. Journal: International Journal of Systems Science Pages: 2459-2472 Issue: 13 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2019.1671527 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1671527 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:13:p:2459-2472 Template-Type: ReDIF-Article 1.0 Author-Name: Ali Saad Hadi Author-X-Name-First: Ali Saad Author-X-Name-Last: Hadi Author-Name: Montadher Sami Shaker Author-X-Name-First: Montadher Sami Author-X-Name-Last: Shaker Author-Name: Qusay A. Jawad Author-X-Name-First: Qusay A. Author-X-Name-Last: Jawad Title: Estimation/decoupling approach for robust Takagi–Sugeno UIO-based fault reconstruction in nonlinear systems affected by a simultaneous time-varying actuator and sensor faults Abstract: This paper presents a robust design of Takagi–Sugeno Multiple-Integral Unknown Input Observer (TSMIUIO) for nonlinear systems affected by a simultaneous time-varying actuator and sensor faults, sensor noise and unknown input by using novel estimation/decoupling approach. In comparison to the available literature, the motivation for this approach is to: (1) attain robust fault reconstruction against the effects of bi-directional interaction accompanying the use of extended state observer (ESO) to simultaneously estimate actuator and sensor faults. (2) Guarantee accurate fault reconstruction despite the time behaviour of the fault. (3) Reduce the order of the TSMIUIO by avoiding the use of ESO for estimating all faults. The ${{\mathcal{L}}_2} $L2-norm minimisation has been exploited to ensure robust global stability against system disturbances. The design algorithm has been formulated using linear matrix inequality framework. Finally, the effectiveness of the proposal is illustrated by using a single-link flexible joint robot. Journal: International Journal of Systems Science Pages: 2473-2485 Issue: 13 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2019.1671528 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1671528 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:13:p:2473-2485 Template-Type: ReDIF-Article 1.0 Author-Name: Hanfeng Li Author-X-Name-First: Hanfeng Author-X-Name-Last: Li Author-Name: Xianfu Zhang Author-X-Name-First: Xianfu Author-X-Name-Last: Zhang Author-Name: Le Chang Author-X-Name-First: Le Author-X-Name-Last: Chang Title: Output feedback regulation of a class of triangular structural nonlinear systems with unknown measurement sensitivity Abstract: This paper investigates the problem of global regulation via output feedback for a class of triangular structural nonlinear systems with unknown measurement sensitivity. Two kinds of triangular structure nonlinear systems, namely upper triangular systems and lower triangular systems, are considered here, and the key features of our considered systems are that there are uncertain linear growth condition in the nonlinear terms. Firstly, for a class of upper triangular nonlinear systems with unknown measurement sensitivity, an output feedback controller is designed such that global regulation of the system is achieved. Then, for a class of lower triangular nonlinear systems with unknown measurement sensitivity, global regulation is realised in a unifying framework. Finally, two simulation examples are respectively given to demonstrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 2486-2496 Issue: 13 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2019.1671529 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1671529 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:13:p:2486-2496 Template-Type: ReDIF-Article 1.0 Author-Name: Yamei Ju Author-X-Name-First: Yamei Author-X-Name-Last: Ju Author-Name: Guoliang Wei Author-X-Name-First: Guoliang Author-X-Name-Last: Wei Author-Name: Derui Ding Author-X-Name-First: Derui Author-X-Name-Last: Ding Author-Name: Sunjie Zhang Author-X-Name-First: Sunjie Author-X-Name-Last: Zhang Title: Fault detection for discrete time-delay networked systems with round-robin protocol in finite-frequency domain Abstract: The paper considers the fault detection problem over finite-frequency domain for a class of discrete time-delayed networked systems subject to round-robin protocol. This protocol is a periodic one to schedule the information transmitted via a shared communication network with an intent to prevent the data from collisions. In this scenario, the error dynamics can be regarded as a periodic protocol-induced system. The aim of the problem addressed is to design a fault detection filter that (1) the sensitivity of the residual to the fault is enhanced by means of a maximised $H_{-} $H− index and (2) the effect from the exogenous disturbances on the residual is decreased with considering a minimised $H_{\infty } $H∞ index. By resorting to a Lyapunov function, an improved version of generalised Kalman–Yakubovich–Popov lemma (GKYP) is first developed for protocol-induced periodic system. Then, in light of such a lemma, sufficient conditions are derived to guarantee both the fault sensitivity and the disturbance attenuation capability by solving a set of matrix inequalities. Finally, the usefulness of the presented fault detection algorithm is utilised via a numerical simulation. Journal: International Journal of Systems Science Pages: 2497-2509 Issue: 13 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2019.1671530 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1671530 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:13:p:2497-2509 Template-Type: ReDIF-Article 1.0 Author-Name: Xuhuan Xie Author-X-Name-First: Xuhuan Author-X-Name-Last: Xie Author-Name: Shanbin Li Author-X-Name-First: Shanbin Author-X-Name-Last: Li Author-Name: Bugong Xu Author-X-Name-First: Bugong Author-X-Name-Last: Xu Title: Fault detection filter design for interval type-2 fuzzy systems under a novel adaptive event-triggering mechanism Abstract: This study is concerned with the problem of event-based fault detection (FD) filter design for interval type-2 fuzzy systems in a network environment. Firstly, by employing the properties of exponential function, a novel adaptive event-triggering mechanism (AETM) where the boundedness of threshold function is guaranteed and the size of threshold function is inversely proportional to the size of 2-norm of the sampled-output-error is proposed to dynamically adapt the variation of the system and to reduce the unnecessary information communication between the sensor and the filter. Secondly, in the framework of time-delay systems, the FD system with a networked filter and an AETM is modelled as an interval time-varying delayed system. Then, a sufficient condition to implement co-design of the parameters of filter and trigger is obtained by applying a simple Lyapunov–Krasovskii functionals, combined with recently developed Wirtinger-based integral inequality and reciprocally convex inequality, and utilising congruent transformation method. Thirdly, based on the obtained co-design condition, an optimisation algorithm subject to convex constraints for the tradeoffs between resource utilisation and $H_\infty $H∞ performance of the FD system is further developed. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed scheme. Journal: International Journal of Systems Science Pages: 2510-2528 Issue: 13 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2019.1671531 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1671531 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:13:p:2510-2528 Template-Type: ReDIF-Article 1.0 Author-Name: Codrin-Alexandru Lupascu Author-X-Name-First: Codrin-Alexandru Author-X-Name-Last: Lupascu Author-Name: Stefan-Cristian Nechita Author-X-Name-First: Stefan-Cristian Author-X-Name-Last: Nechita Author-Name: Octavian Pastravanu Author-X-Name-First: Octavian Author-X-Name-Last: Pastravanu Title: Dual switched positive systems – a less conservative condition for diagonal quadratic stability Abstract: The key result of the paper exploits the duality of arbitrary switching positive linear systems, in order to derive a sufficient condition for the existence and construction of diagonal quadratic copositive Lyapunov functions. This condition is less conservative than a result also relying on duality, recently reported in the literature; our condition operates with milder inequalities than those required by the existing result. We prove that the algebraic relaxation of these inequalities is related to a relaxation of the primal and dual systems’ properties, referring to the trajectory growth rates, or, equivalently, to the spectra of the associated column representatives. The existing result is incorporated into the new one as a particular case, and the advantages offered by the latter are illustrated by a relevant numerical example. Our developments focus on the continuous-time case, so as to permit direct comparisons with the existing result; some brief discussion suggests how the proposed approach can be applied, mutatis mutandis, to discrete-time dynamics. Journal: International Journal of Systems Science Pages: 2529-2538 Issue: 13 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2019.1671533 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1671533 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:13:p:2529-2538 Template-Type: ReDIF-Article 1.0 Author-Name: Houssem Eddine Rouabhia Author-X-Name-First: Houssem Eddine Author-X-Name-Last: Rouabhia Author-Name: Brahim Farou Author-X-Name-First: Brahim Author-X-Name-Last: Farou Author-Name: Zine Eddine Kouahla Author-X-Name-First: Zine Eddine Author-X-Name-Last: Kouahla Author-Name: Hamid Seridi Author-X-Name-First: Hamid Author-X-Name-Last: Seridi Author-Name: Herman Akdag Author-X-Name-First: Herman Author-X-Name-Last: Akdag Title: Cooperative processing based on posture change detection and trajectory estimation for unknown multi-object tracking Abstract: Tracking of moving objects is a very important step in building an intelligent video surveillance system. The movement of non-rigid objects, appearance variations and luminosity changes make tracking even more difficult. This paper proposes a new automatic multi-target tracking system that can deal with the most confronted problems without any prior knowledge of the characteristics of objects. The system is a combination between classification, learning and tracking in a parallel architecture that allows the three tasks to be performed separately and efficiently to make the most of this combination. The permanent learning of the classifier guarantees the efficiency of the latter compared to the posture changes of moving objects. The classifier sends the new posture changes with a high degree of confidence as a new learning data. This cyclic aspect forces the system to adapt to all possible posture changes. In the case of occlusion, the system uses the estimated information of the trajectories to correct or cancel the learning process. The filtering process prevents the classifier from falling into a false classification, which significantly increases the system adaptability to the environment. Tests carried out on the CAVIAR and MOT16 datasets showed the efficiency and effectiveness of the proposed system. Journal: International Journal of Systems Science Pages: 2539-2551 Issue: 13 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2019.1671534 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1671534 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:13:p:2539-2551 Template-Type: ReDIF-Article 1.0 Author-Name: Lina Yao Author-X-Name-First: Lina Author-X-Name-Last: Yao Author-Name: Lifan Li Author-X-Name-First: Lifan Author-X-Name-Last: Li Author-Name: Yacun Guan Author-X-Name-First: Yacun Author-X-Name-Last: Guan Author-Name: Hao Wang Author-X-Name-First: Hao Author-X-Name-Last: Wang Title: Fault diagnosis and fault-tolerant control for non-Gaussian nonlinear stochastic systems via entropy optimisation Abstract: In this paper, the fault diagnosis (FD) and fault tolerant control (FTC) problems are studied for non-linear stochastic systems with non-Gaussian disturbance and fault. Unlike classical FD algorithms, the minimum entropy FD is adopted to minimise the residual entropy and control the shape of the probability density function (PDF) of the residual signal. The observation error system can be proved to be locally and ultimately bounded in the mean square sense. Since entropy can be used to characteriSe the uncertainty of the tracking error for non-Gaussian stochastic systems, the FTC controller is obtained by minimising the performance function with regard to the entropy of the tracking error in this paper. The PDF of the output tracking error is approximated by the B-spline model. An illustrative example is utilised to demonstrate the effectiveness of the FD and FTC algorithm, and satisfactory results have been obtained. Journal: International Journal of Systems Science Pages: 2552-2564 Issue: 13 Volume: 50 Year: 2019 Month: 10 X-DOI: 10.1080/00207721.2019.1671535 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1671535 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:13:p:2552-2564 Template-Type: ReDIF-Article 1.0 Author-Name: Tao Li Author-X-Name-First: Tao Author-X-Name-Last: Li Author-Name: Aiguo Song Author-X-Name-First: Aiguo Author-X-Name-Last: Song Author-Name: Shumin Fei Author-X-Name-First: Shumin Author-X-Name-Last: Fei Title: Further stability analysis on Cohen–Grossberg neural networks with time-varying and distributed delays Abstract: The article is concerned with asymptotical stability for Cohen–Grossberg neural networks with both interval time-varying (0 ≤ τ0 ≤ τ(t) ≤ τm) and distributed delays, in which two types of distributed delays are treated: one is bounded while the other is unbounded. Through partitioning the delay intervals [0, τ0] and [τ0, τm], and choosing two augmented Lyapunov–Krasovskii functionals, some sufficient conditions are obtained to guarantee the global stability by employing the simplified free-weighting matrix method and convex combination. These stability criteria are presented in terms of linear matrix inequalities (LMIs) and can be easily checked by resorting to LMI in Matlab toolbox. Finally, three numerical examples are given to illustrate the effectiveness and reduced conservatism of the theoretical results. Journal: International Journal of Systems Science Pages: 1639-1649 Issue: 10 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903576514 File-URL: http://hdl.handle.net/10.1080/00207720903576514 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1639-1649 Template-Type: ReDIF-Article 1.0 Author-Name: Dewei Li Author-X-Name-First: Dewei Author-X-Name-Last: Li Author-Name: Yugeng Xi Author-X-Name-First: Yugeng Author-X-Name-Last: Xi Title: Constrained feedback robust model predictive control for polytopic uncertain systems with time delays Abstract: An approach to design robust model predictive control (MPC) is proposed by considering constrained time-delayed systems with polytopic uncertainty description. The contribution consists of two aspects. First, compared with the existing techniques which apply a single state feedback law, the feedback MPC is utilised, which applies a sequence of feedback control laws. Second, for systems with input delay, an augmented polytopic uncertainty description is invoked to remove the input delay. By feedback MPC, the conservativeness of the traditional MPC is reduced. By the augmented system description, the difficulties in handling the input delay, such as inability to deal with some unstable system matrices in the previous robust MPC literature, are overcome. Two simulation results are given to illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 1651-1660 Issue: 10 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903576530 File-URL: http://hdl.handle.net/10.1080/00207720903576530 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1651-1660 Template-Type: ReDIF-Article 1.0 Author-Name: Yong Zhang Author-X-Name-First: Yong Author-X-Name-Last: Zhang Author-Name: Huajing Fang Author-X-Name-First: Huajing Author-X-Name-Last: Fang Title: Robust fault detection filter design for networked control systems with delay distribution characterisation Abstract: In this article, robust fault detection (RFD) is investigated for networked control systems with delay distribution characterisation. By utilising an observer-based fault detection filter as a residual generator, the RFD of networked control systems with non-uniformly distributed network‐induced time-varying delay is formulated as an H∞ model-matching problem. Delay-interval-dependent and delay-interval-occurrence-rate-dependent sufficient conditions are obtained by employing the Lyapunov–Krasovskii functional approach. Especially, the robust fault detection filters guarantee strong robustness from residual signal to disturbance as well as high sensitivity to faults. A numerical example is given to illustrate the effectiveness of the proposed design techniques. Journal: International Journal of Systems Science Pages: 1661-1668 Issue: 10 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903576795 File-URL: http://hdl.handle.net/10.1080/00207720903576795 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1661-1668 Template-Type: ReDIF-Article 1.0 Author-Name: Baocang Ding Author-X-Name-First: Baocang Author-X-Name-Last: Ding Author-Name: Biao Huang Author-X-Name-First: Biao Author-X-Name-Last: Huang Author-Name: Fangwei Xu Author-X-Name-First: Fangwei Author-X-Name-Last: Xu Title: Dynamic output feedback robust model predictive control Abstract: The synthesis approach for dynamic output feedback robust model predictive control is considered. The notion of quadratic boundedness is utilised to characterise the stability properties of the augmented closed-loop system. A finite horizon performance cost, which corresponds to the worst case of both the polytopic uncertainty and the bounded disturbance/noise, is utilised. It is not required to specify the horizon length. A numerical example is given to illustrate the effectiveness of the proposed controller. Journal: International Journal of Systems Science Pages: 1669-1682 Issue: 10 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003624543 File-URL: http://hdl.handle.net/10.1080/00207721003624543 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1669-1682 Template-Type: ReDIF-Article 1.0 Author-Name: Wen Yu Author-X-Name-First: Wen Author-X-Name-Last: Yu Author-Name: Kang Li Author-X-Name-First: Kang Author-X-Name-Last: Li Author-Name: Xiaoou Li Author-X-Name-First: Xiaoou Author-X-Name-Last: Li Title: Automated nonlinear system modelling with multiple neural networks Abstract: This article discusses the identification of nonlinear dynamic systems using multi-layer perceptrons (MLPs). It focuses on both structure uncertainty and parameter uncertainty, which have been widely explored in the literature of nonlinear system identification. The main contribution is that an integrated analytic framework is proposed for automated neural network structure selection, parameter identification and hysteresis network switching with guaranteed neural identification performance. First, an automated network structure selection procedure is proposed within a fixed time interval for a given network construction criterion. Then, the network parameter updating algorithm is proposed with guaranteed bounded identification error. To cope with structure uncertainty, a hysteresis strategy is proposed to enable neural identifier switching with guaranteed network performance along the switching process. Both theoretic analysis and a simulation example show the efficacy of the proposed method. Journal: International Journal of Systems Science Pages: 1683-1695 Issue: 10 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003624550 File-URL: http://hdl.handle.net/10.1080/00207721003624550 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1683-1695 Template-Type: ReDIF-Article 1.0 Author-Name: Chun-Che Huang Author-X-Name-First: Chun-Che Author-X-Name-Last: Huang Author-Name: Wen-Yau Liang Author-X-Name-First: Wen-Yau Author-X-Name-Last: Liang Author-Name: Wei-Che Lee Author-X-Name-First: Wei-Che Author-X-Name-Last: Lee Author-Name: Yung-Huan Lai Author-X-Name-First: Yung-Huan Author-X-Name-Last: Lai Title: Constrained evolutionary computing approach to Web service compositions Abstract: Web services are being adopted as a viable means of accessing Web-based applications. Web services are not only used to exchange information between enterprises but also to help software developers provide value-added services for various demands. Web service compositions are synthesised by researchers from elementary Web services, offering the opportunity for service providers and application developers to create value-added services. However, a problem exists in the current distribution process of Web service compositions: the general analysis and selection of services can be overly complex and are completed manually. Therefore, there is a need to manage composite Web services automatically. But the research related to ranking candidate services and selection of optimisation strategies is sparse. Yet, few have been published that consider the constraints of non-functional properties. In this article, a systemic but autonomous composition process has been proposed. This study proposes an evolutionary approach that applies the characteristics of the object-oriented concept of Web services and the genetic algorithm to effectively manage and optimise the Web service composition. It is capable of escaping not only from local optima due to a population-based approach, but also from unbiased nature, which enables it to perform well in a situation with little domain knowledge. In this article, the related literature is reviewed. Then, the Web service composition model incorporated with a genetic algorithm is proposed. Finally, a practical implementation is illustrated and shows a good result in terms of solution quality. Journal: International Journal of Systems Science Pages: 1625-1638 Issue: 10 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003646215 File-URL: http://hdl.handle.net/10.1080/00207721003646215 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1625-1638 Template-Type: ReDIF-Article 1.0 Author-Name: ChenJian Ran Author-X-Name-First: ChenJian Author-X-Name-Last: Ran Author-Name: ZiLi Deng Author-X-Name-First: ZiLi Author-X-Name-Last: Deng Title: Self-tuning measurement fusion Kalman predictors and their convergence analysis Abstract: For multisensor systems with unknown parameters and noise variances, three self-tuning measurement fusion Kalman predictors based on the information matrix equation are presented by substituting the online estimators of unknown parameters and noise variances into the optimal measurement fusion steady-state Kalman predictors. By the dynamic variance error system analysis method, the convergence of the self-tuning information matrix equation is proved. Further, it is proved by the dynamic error system analysis method that the proposed self-tuning measurement fusion Kalman predictors converge to the optimal measurement fusion steady-state Kalman predictors in a realisation, so they have asymptotical global optimality. Compared with the centralised measurement fusion Kalman predictors based on the Riccati equation, they can significantly reduce the computational burden. A simulation example applied to signal processing shows their effectiveness. Journal: International Journal of Systems Science Pages: 1697-1708 Issue: 10 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003646223 File-URL: http://hdl.handle.net/10.1080/00207721003646223 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1697-1708 Template-Type: ReDIF-Article 1.0 Author-Name: Yeng-Fang Li Author-X-Name-First: Yeng-Fang Author-X-Name-Last: Li Author-Name: Chung-Shi Tseng Author-X-Name-First: Chung-Shi Author-X-Name-Last: Tseng Title: Analysis and synthesis of robust static output feedback control subject to actuator saturation Abstract: In this article, static output feedback (SOF) control analysis and synthesis are conducted for a linear continuous-time system subject to actuator saturation with the H∞ setting. Typically, the SOF problem is nonconvex; the existence of SOF control can be expressed in terms of the solvability of bilinear matrix inequalities. The actuator saturation problem is also considered since the driving capacity of an actuator is limited in practical applications. Using the singular value decomposition approach, the H∞ SOF controller design problem with actuator saturation can be expressed in terms of an eigenvalue problem (EVP) which can be efficiently solved using the LMI toolbox in Matlab. The balance between the minimization of the attenuation level of the H∞ performance and the maximisation of the estimation of the domain of attraction is considered in our approach via solving the corresponding EVP. To illustrate the proposed design procedure for two types of prescribing shape reference set, two numerical examples are included. Journal: International Journal of Systems Science Pages: 1709-1721 Issue: 10 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003646231 File-URL: http://hdl.handle.net/10.1080/00207721003646231 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1709-1721 Template-Type: ReDIF-Article 1.0 Author-Name: Danli Wen Author-X-Name-First: Danli Author-X-Name-Last: Wen Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Dynamic output feedback control for networked control systems with quantisation and random communication delays Abstract: This article is concerned with the dynamic output feedback H∞ control problem for networked control systems with quantisation and random communication delays, where the random communication delays from the sensor to the controller and from the controller to the actuator are considered simultaneously. A novel quantised random delay model is proposed, and by using this model, the relationship of the quantisations, delays and the system performance is studied. The quantiser considered here is dynamic and composed of an adjustable zoom parameter and a static quantiser. With the condition on the quantisation range and the error bound satisfied, a quantised H∞ control strategy is derived such that the closed-loop system is exponentially mean-square stable and with a prescribed H∞ performance bound. An example is presented to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1723-1734 Issue: 10 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003646249 File-URL: http://hdl.handle.net/10.1080/00207721003646249 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1723-1734 Template-Type: ReDIF-Article 1.0 Author-Name: Yong Wang Author-X-Name-First: Yong Author-X-Name-Last: Wang Author-Name: Wei Wang Author-X-Name-First: Wei Author-X-Name-Last: Wang Author-Name: Guo-Ping Liu Author-X-Name-First: Guo-Ping Author-X-Name-Last: Liu Title: control of networked control systems based on event-time-driven model Abstract: This article considers the H∞ control problem for a class of networked control systems (NCSs) based on the event-time-driven model, under which the considered NCS can be changed into a class of switched delay systems including an unstable subsystem. The Lyapunov functional exponential estimation method is adopted to solve the problem of H∞ control for such systems. The switching controller is designed to make the considered system exponentially stable with an H∞ norm bound in terms of linear matrix inequalities. The obtained results are less conservative than existing ones. Finally, one example is given to illustrate the effectiveness and benefit of the proposed method. Journal: International Journal of Systems Science Pages: 1735-1745 Issue: 10 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003646264 File-URL: http://hdl.handle.net/10.1080/00207721003646264 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1735-1745 Template-Type: ReDIF-Article 1.0 Author-Name: Jianzhou Liu Author-X-Name-First: Jianzhou Author-X-Name-Last: Liu Author-Name: Juan Zhang Author-X-Name-First: Juan Author-X-Name-Last: Zhang Title: Bounds for the eigenvalues of the continuous algebraic Riccati equation Abstract: By using singular value decomposition and majorisation inequalities, we propose new upper and lower bounds for summations of eigenvalues (including the trace) of the solution of the continuous algebraic Riccati equation. These bounds improve and extend some of the previous results. Finally, we give corresponding numerical examples to illustrate the effectiveness of our results. Journal: International Journal of Systems Science Pages: 1747-1753 Issue: 10 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003650191 File-URL: http://hdl.handle.net/10.1080/00207721003650191 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1747-1753 Template-Type: ReDIF-Article 1.0 Author-Name: Jau-Chuan Ke Author-X-Name-First: Jau-Chuan Author-X-Name-Last: Ke Author-Name: Chia-Huang Wu Author-X-Name-First: Chia-Huang Author-X-Name-Last: Wu Author-Name: Wen Lea Pearn Author-X-Name-First: Wen Lea Author-X-Name-Last: Pearn Title: Multi-server retrial queue with second optional service: algorithmic computation and optimisation Abstract: We consider an infinite-capacity M/M/c retrial queue with second optional service (SOS) channel. An arriving customer finds a free server would enter the service (namely, the first essential service, denoted by FES) immediately; otherwise, the customer enters into an orbit and starts generating requests for service in an exponentially distributed time interval until he finds a free server and begins receiving service. After the completion of FES, only some of them receive SOS. The retrial system is modelled by a quasi-birth-and-death process and some system performance measures are derived. The useful formulae for computing the rate matrix and stationary probabilities are derived by means of a matrix-analytic approach. A cost model is derived to determine the optimal values of the number of servers and the two different service rates simultaneously at the minimal total expected cost per unit time. Illustrative numerical examples demonstrate the optimisation approach as well as the effect of various parameters on system performance measures. Journal: International Journal of Systems Science Pages: 1755-1769 Issue: 10 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003650209 File-URL: http://hdl.handle.net/10.1080/00207721003650209 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1755-1769 Template-Type: ReDIF-Article 1.0 Author-Name: L. Blázquez Author-X-Name-First: L. Author-X-Name-Last: Blázquez Author-Name: Luis de Miguel Author-X-Name-First: Luis Author-X-Name-Last: de Miguel Author-Name: Fernando Aller Author-X-Name-First: Fernando Author-X-Name-Last: Aller Author-Name: José Perán Author-X-Name-First: José Author-X-Name-Last: Perán Title: Neuro-fuzzy identification applied to fault detection in nonlinear systems Abstract: This article describes a fault detection method, based on the parity equations approach, to be applied to nonlinear systems. The input–output nonlinear model of the plant, used in the method, has been obtained by a neural fuzzy inference architecture and its learning algorithm. The proposed method is able to detect small abrupt faults, even in systems with unknown nonlinearities. This method has been applied to a real industrial pilot plant, and good performance has been obtained for the experimental case of fault detection in the level sensor of a level control process in the said industrial pilot plant. Journal: International Journal of Systems Science Pages: 1771-1787 Issue: 10 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003653674 File-URL: http://hdl.handle.net/10.1080/00207721003653674 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1771-1787 Template-Type: ReDIF-Article 1.0 Author-Name: Kerim Demirbaş Author-X-Name-First: Kerim Author-X-Name-Last: Demirbaş Title: A new real-time suboptimum filtering and prediction scheme for general nonlinear discrete dynamic systems with Gaussian or non-Gaussian noise Abstract: A new suboptimum state filtering and prediction scheme is proposed for nonlinear discrete dynamic systems with Gaussian or non-Gaussian disturbance and observation noises. This scheme is an online estimation scheme for real-time applications. Furthermore, this scheme is very suitable for state estimation under either constraints imposed on estimates or missing observations. State and observation models can be any nonlinear functions of the states, disturbance and observation noises as long as noise samples are independent, and the density functions of noise samples and conditional density functions of the observations given the states are available. State models are used to calculate transition probabilities from gates to gates. If these transition probabilities are known or can be estimated, state models are not needed for estimation. The proposed scheme (PR) is based upon state quantisation and multiple hypothesis testing. Monte Carlo simulations have shown that the performance of the PR, sampling importance resampling (SIR) particle filter and extended Kalman (EK) filter are all model-dependent, and that the performance of the PR is better than both the SIR particle filter and EK filter for some nonlinear models, simulation results of three of which are given in this article. Journal: International Journal of Systems Science Pages: 1789-1799 Issue: 10 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003653682 File-URL: http://hdl.handle.net/10.1080/00207721003653682 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1789-1799 Template-Type: ReDIF-Article 1.0 Author-Name: Xiao-Heng Chang Author-X-Name-First: Xiao-Heng Author-X-Name-Last: Chang Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Author-Name: Haibo Wang Author-X-Name-First: Haibo Author-X-Name-Last: Wang Title: Observer-based -control for discrete-time T–S fuzzy systems Abstract: This article further studies the observer-based H∞-control problem for discrete-time Takagi–Sugeno (T–S) fuzzy systems. By using fuzzy Lyapunov functions and introducing slack variables, a sufficient condition, which can guarantee observer-based H∞-control performance for T–S fuzzy systems, is proposed in terms of a set of bilinear matrix inequalities. Moreover, in the so-called two-step procedure, results of the first step are allowed to select in order to reduce the conservatism of previous approaches. In comparison with the existing literature, the proposed approach not only provides more relaxed H∞-control conditions but also ensures better H∞-control performance. Finally, the validity and applicability of the proposed approach are successfully demonstrated through two numerical examples. Journal: International Journal of Systems Science Pages: 1801-1809 Issue: 10 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003653708 File-URL: http://hdl.handle.net/10.1080/00207721003653708 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1801-1809 Template-Type: ReDIF-Article 1.0 Author-Name: Kai Li Author-X-Name-First: Kai Author-X-Name-Last: Li Author-Name: Shan-Lin Yang Author-X-Name-First: Shan-Lin Author-X-Name-Last: Yang Author-Name: Ming-Lun Ren Author-X-Name-First: Ming-Lun Author-X-Name-Last: Ren Title: Single‐machine scheduling problem with resource dependent release dates to minimise total resource‐consumption Abstract: This article considers the single‐machine scheduling problem to minimise the total resource consumption under the constraint that the makespan does not exceed a given limit, in which the release date of a job is a linear decreasing continuous function of the resource consumption. This problem is NP-hard in the strong sense. We design a simulated annealing (SA) algorithm to obtain the near-optimal solution with high quality. Two operators, right-move and left-move, are defined and their influences on the resource consumption are analysed. We use two operations, insert and swap, to generate the neighbourhood, and discuss how to calculate the change of total resource consumption. To evaluate the performance of the proposed algorithm, we relax the problem to an assignment problem, and obtain a lower bound by the Hungary method. And then, we improve its quality by Chu's method. Based on the settings that Janiak provided, we generate the random test data in our experiments to simulate the ingot preheating and hot-rolling process in steel mills. The accuracy and efficiency of the proposed SA algorithm are tested based on those data with problem sizes varying from 50 to 200 jobs. The computational results indicate that the SA approach is promising and capable of solving large-scale problems in a reasonable time. Journal: International Journal of Systems Science Pages: 1811-1820 Issue: 10 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003653716 File-URL: http://hdl.handle.net/10.1080/00207721003653716 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1811-1820 Template-Type: ReDIF-Article 1.0 Author-Name: Fernando Souza Author-X-Name-First: Fernando Author-X-Name-Last: Souza Author-Name: Reinaldo Palhares Author-X-Name-First: Reinaldo Author-X-Name-Last: Palhares Author-Name: Leonardo Tôrres Author-X-Name-First: Leonardo Author-X-Name-Last: Tôrres Title: Improved synthesis method for network-based control Abstract: A less conservative stability analysis condition for closed-loop delayed linear systems subjected to uncertain, bounded, non-differentiable, additive time delays is presented. The obtained stability condition is applied to the problem of networked control system robust design in the presence of network-induced delays and data packet dropouts. Illustrative examples are provided to show the advantage and applicability of the developed results in this case. Journal: International Journal of Systems Science Pages: 1821-1830 Issue: 10 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003653732 File-URL: http://hdl.handle.net/10.1080/00207721003653732 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1821-1830 Template-Type: ReDIF-Article 1.0 Author-Name: Peter Wieland Author-X-Name-First: Peter Author-X-Name-Last: Wieland Author-Name: Jung-Su Kim Author-X-Name-First: Jung-Su Author-X-Name-Last: Kim Author-Name: Frank Allgöwer Author-X-Name-First: Frank Author-X-Name-Last: Allgöwer Title: On topology and dynamics of consensus among linear high-order agents Abstract: Consensus of a group of agents in a multi-agent system with and without a leader is considered. All agents are modelled by identical linear n-th order dynamical systems while the leader, when it exists, may evolve according to a different linear model of the same order. The interconnection topology between the agents is modelled as a directed weighted graph. We provide answers to the questions of whether the group converges to consensus and what consensus value the group eventually reaches. To that end, we give a detailed analysis of relevant algebraic properties of the graph Laplacian. Furthermore, we propose an LMI-based design for group consensus in the general case. Journal: International Journal of Systems Science Pages: 1831-1842 Issue: 10 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003658202 File-URL: http://hdl.handle.net/10.1080/00207721003658202 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1831-1842 Template-Type: ReDIF-Article 1.0 Author-Name: Jian Wu Author-X-Name-First: Jian Author-X-Name-Last: Wu Author-Name: Leang-San Shieh Author-X-Name-First: Leang-San Author-X-Name-Last: Shieh Author-Name: Yongpeng Zhang Author-X-Name-First: Yongpeng Author-X-Name-Last: Zhang Author-Name: Gangbing Song Author-X-Name-First: Gangbing Author-X-Name-Last: Song Title: Digital controller design for Bouc–Wen model with high-order hysteretic nonlinearities through approximated scalar sign function Abstract: In the models of piezoelectric actuator (PEA) systems, the hysteresis effects are often described by the concise Bouc–Wen models; however, these models are nonlinear and non-smooth because of the existence of terms which involve the absolute-value function. In particular, a challenging control problem is posed when, due to the properties of certain materials, such absolute-value terms are of high order. This control problem has been rarely studied. This article proposes the use of the approximated scalar sign function (ASSF), which is a numerically stable and differentiable nonlinear function, to represent the hysteresis function, with single-order or high-order absolute-value terms. This innovative step leads to a nonlinear but sufficiently smooth model. Then, a systematic digital design methodology is presented, which involves the following steps: (1) establish an optimal linear model based upon the resulting smooth model, (2) adopt a PI-based analogue controller and (3) apply the prediction-based digital redesign technique for digital implementation. A digital observer is also developed for state reconstruction, and to improve the input disturbance rejection. The positioning control of a PEA system with a high-order hysteretic Bouc–Wen model is implemented to demonstrate the effectiveness of the proposed ASSF based modelling and controller design approaches. Journal: International Journal of Systems Science Pages: 1581-1599 Issue: 10 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.520095 File-URL: http://hdl.handle.net/10.1080/00207721.2010.520095 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1581-1599 Template-Type: ReDIF-Article 1.0 Author-Name: Hai-ying Wang Author-X-Name-First: Hai-ying Author-X-Name-Last: Wang Author-Name: Da-cheng Liu Author-X-Name-First: Da-cheng Author-X-Name-Last: Liu Author-Name: Hua Ding Author-X-Name-First: Hua Author-X-Name-Last: Ding Author-Name: Fu Guo Author-X-Name-First: Fu Author-X-Name-Last: Guo Title: Integrated planning problem in supply chains with time-varying delivery Abstract: We consider a serial supply chain consisting of a raw material supplier, a manufacturer, a distribution centre and a retailer in the presence of time-varying delivery between manufacturer facility and the retailer warehouse. Delivery time functions are developed based on practical data analysis and the cost models for both linear and non-linear delivery time functions are derived. Analytic solution for system with linear delivery times is derived and a search algorithm for system with non-linear delivery times is established. Finally, sensitivity analysis is made to help decision makers achieve a lower total cost in practice. Journal: International Journal of Systems Science Pages: 1601-1611 Issue: 10 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.569770 File-URL: http://hdl.handle.net/10.1080/00207721.2011.569770 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1601-1611 Template-Type: ReDIF-Article 1.0 Author-Name: Hsin Rau Author-X-Name-First: Hsin Author-X-Name-Last: Rau Author-Name: Bing-Chang OuYang Author-X-Name-First: Bing-Chang Author-X-Name-Last: OuYang Title: Modelling of the inventory replenishment problem with a two-segment piecewise linear demand Abstract: The classical inventory replenishment problem with a linear function in demand uses a ‘single-segment’ linear function as its demand and can be modelled by a simple algorithm. Moreover, this article extends the algorithm to provide a heuristic solution for the inventory replenishment model with a two-segment linear function in demand called the ‘two-segment piecewise linear demand model’. In addition, this article proposes a general procedure for solving both models. Meanwhile, several examples taken from the literature illustrate our algorithm for these two models with convincing results. Furthermore, this study shows that when the demand is a two-segment piecewise linear function over time, it is better to use the proposed algorithm rather than devising a decoupled solution approach by treating segments separately. Finally, a sensitivity analysis of two factors, demand and cost, is performed. The model is highly extensible and applicable, so it can serve as an inventory planning tool to solve the replenishment problem. Journal: International Journal of Systems Science Pages: 1613-1624 Issue: 10 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.603185 File-URL: http://hdl.handle.net/10.1080/00207721.2011.603185 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:10:p:1613-1624 Template-Type: ReDIF-Article 1.0 Author-Name: Maoyin Chen Author-X-Name-First: Maoyin Author-X-Name-Last: Chen Author-Name: Guibin Xu Author-X-Name-First: Guibin Author-X-Name-Last: Xu Author-Name: Rongyi Yan Author-X-Name-First: Rongyi Author-X-Name-Last: Yan Author-Name: Steven X. Ding Author-X-Name-First: Steven X. Author-X-Name-Last: Ding Author-Name: Donghua Zhou Author-X-Name-First: Donghua Author-X-Name-Last: Zhou Title: Detecting scalar intermittent faults in linear stochastic dynamic systems Abstract: Intermittent faults (IFs) have properties such as intermittency, random magnitude and random duration time. Hence the detection of IFs means: (i) to detect not only all the appearing time but also all the disappearing time of IFs and (ii) to detect the appearing time of an IF before this IF disappears, and the disappearing time of an IF before the subsequent IF appears. Within a statistical framework, the detection of scalar IFs in continuous linear stochastic dynamic systems has been mainly studied. Based on the sliding window, an analytical residual is generated, and two hypothesis tests are implemented to detect the appearing and disappearing times of IFs. In addition, a necessary and sufficient condition for the detectability of IFs is obtained, and the detection speed can be fast enough. Theoretical analysis and numerical simulations fully verify that IFs can be successfully detected. Journal: International Journal of Systems Science Pages: 1337-1348 Issue: 8 Volume: 46 Year: 2015 Month: 6 X-DOI: 10.1080/00207721.2013.809612 File-URL: http://hdl.handle.net/10.1080/00207721.2013.809612 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:8:p:1337-1348 Template-Type: ReDIF-Article 1.0 Author-Name: B. Vanavil Author-X-Name-First: B. Author-X-Name-Last: Vanavil Author-Name: K. Krishna Chaitanya Author-X-Name-First: K. Krishna Author-X-Name-Last: Chaitanya Author-Name: A. Seshagiri Rao Author-X-Name-First: A. Seshagiri Author-X-Name-Last: Rao Title: Improved PID controller design for unstable time delay processes based on direct synthesis method and maximum sensitivity Abstract: In this paper, a proportional-integral-derivative controller in series with a lead-lag filter is designed for control of the open-loop unstable processes with time delay based on direct synthesis method. Study of the performance of the designed controllers has been carried out on various unstable processes. Set-point weighting is considered to reduce the undesirable overshoot. The proposed scheme consists of only one tuning parameter, and systematic guidelines are provided for selection of the tuning parameter based on the peak value of the sensitivity function (Ms). Robustness analysis has been carried out based on sensitivity and complementary sensitivity functions. Nominal and robust control performances are achieved with the proposed method and improved closed-loop performances are obtained when compared to the recently reported methods in the literature. Journal: International Journal of Systems Science Pages: 1349-1366 Issue: 8 Volume: 46 Year: 2015 Month: 6 X-DOI: 10.1080/00207721.2013.822124 File-URL: http://hdl.handle.net/10.1080/00207721.2013.822124 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:8:p:1349-1366 Template-Type: ReDIF-Article 1.0 Author-Name: Shey-Huei Sheu Author-X-Name-First: Shey-Huei Author-X-Name-Last: Sheu Author-Name: Hsin-Nan Tsai Author-X-Name-First: Hsin-Nan Author-X-Name-Last: Tsai Author-Name: Tsung-Shin Hsu Author-X-Name-First: Tsung-Shin Author-X-Name-Last: Hsu Author-Name: Fu-Kwun Wang Author-X-Name-First: Fu-Kwun Author-X-Name-Last: Wang Title: Optimal number of minimal repairs before replacement of a deteriorating system with inspections Abstract: In this study, we propose a generalised replacement model for a deteriorating system with failures that could only be detected through inspection work. The system is assumed to have two types of failures and is replaced at the Nth type I failure (minor failure) or first type II failure (catastrophic failure), depending on whichever occurs first. The probability of type I and II failures depends on the number of failures since the last replacement. Such systems can be repaired upon type I failure, but are stochastically deteriorating, that is, the lengths of the operating intervals are stochastically decreasing, whereas the durations of the repairs are stochastically increasing. Then, the expected net cost rate is obtained. Some special cases are considered. Finally, a numerical example is provided. Journal: International Journal of Systems Science Pages: 1367-1379 Issue: 8 Volume: 46 Year: 2015 Month: 6 X-DOI: 10.1080/00207721.2013.822125 File-URL: http://hdl.handle.net/10.1080/00207721.2013.822125 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:8:p:1367-1379 Template-Type: ReDIF-Article 1.0 Author-Name: Gongfei Song Author-X-Name-First: Gongfei Author-X-Name-Last: Song Author-Name: Jianzhen Li Author-X-Name-First: Jianzhen Author-X-Name-Last: Li Author-Name: Ze Li Author-X-Name-First: Ze Author-X-Name-Last: Li Author-Name: Yuming Bo Author-X-Name-First: Yuming Author-X-Name-Last: Bo Title: Quantised feedback control for bilinear systems with actuator saturation Abstract: This paper is concerned with quantised feedback control problems for bilinear systems with actuator saturation. We propose two types of quantisers. For the first quantiser, quantised input and quantised state are considered. For the second quantiser, quantised control input is only investigated. A designed state feedback controller guarantees that the resulting closed-loop system is convergent to a small neighbourhood around the origin for every initial condition emanating from the large admissible domain. Sufficient conditions for feasibility are derived in terms of linear matrix inequalities. Several examples are presented to demonstrate the applicability of the proposed approach. Journal: International Journal of Systems Science Pages: 1380-1391 Issue: 8 Volume: 46 Year: 2015 Month: 6 X-DOI: 10.1080/00207721.2013.822127 File-URL: http://hdl.handle.net/10.1080/00207721.2013.822127 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:8:p:1380-1391 Template-Type: ReDIF-Article 1.0 Author-Name: Muhammad Aslam Author-X-Name-First: Muhammad Author-X-Name-Last: Aslam Author-Name: Muhammad Azam Author-X-Name-First: Muhammad Author-X-Name-Last: Azam Author-Name: Chi-Hyuck Jun Author-X-Name-First: Chi-Hyuck Author-X-Name-Last: Jun Title: A new lot inspection procedure based on exponentially weighted moving average Abstract: In this manuscript a new variable sampling plan based on the exponentially weighted moving average (EWMA) statistic is proposed assuming that the quality characteristic follows the normal distribution. The plans are proposed when the standard deviation of the normal distribution is known or unknown. The plan parameters for both cases are determined such that the given producer's risk and consumer's risk are satisfied. The proposed plan includes the ordinary variable single sampling plan as a special case and its advantage over the single sampling plan is discussed in terms of the sample size. Extensive tables are provided for industrial use. Journal: International Journal of Systems Science Pages: 1392-1400 Issue: 8 Volume: 46 Year: 2015 Month: 6 X-DOI: 10.1080/00207721.2013.822128 File-URL: http://hdl.handle.net/10.1080/00207721.2013.822128 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:8:p:1392-1400 Template-Type: ReDIF-Article 1.0 Author-Name: Yinfang Song Author-X-Name-First: Yinfang Author-X-Name-Last: Song Author-Name: Quan Yin Author-X-Name-First: Quan Author-X-Name-Last: Yin Author-Name: Yi Shen Author-X-Name-First: Yi Author-X-Name-Last: Shen Title: A note on attraction and stability of neutral stochastic delay differential equations with Markovian switching Abstract: This paper is concerned with neutral stochastic delay differential equations with Markovian switching (NSDDEs-MS). A kind of ψ − function is introduced and some criteria on the attractor for the product of the ψ − function are obtained. By the new criteria, the almost sure stability with the general decay rate of NSDDEs-MS could be examined, including the exponential stability and the polynomial stability. Finally, an example is provided to illustrate the applications of our results clearly. Journal: International Journal of Systems Science Pages: 1401-1410 Issue: 8 Volume: 46 Year: 2015 Month: 6 X-DOI: 10.1080/00207721.2013.822254 File-URL: http://hdl.handle.net/10.1080/00207721.2013.822254 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:8:p:1401-1410 Template-Type: ReDIF-Article 1.0 Author-Name: Yao-Lin Jiang Author-X-Name-First: Yao-Lin Author-X-Name-Last: Jiang Author-Name: Zhi-Hua Xiao Author-X-Name-First: Zhi-Hua Author-X-Name-Last: Xiao Title: Arnoldi-based model reduction for fractional order linear systems Abstract: In this paper, the Arnoldi-based model reduction methods are employed to fractional order linear time-invariant systems. The resulting model has a smaller dimension, while its fractional order is the same as that of the original system. The error and stability of the reduced model are discussed. And to overcome the local convergence of Padé approximation, the multi-point Arnoldi algorithm, which can recursively generate a reduced-order orthonormal basis from the corresponding Krylov subspace, is used. Numerical examples are given to illustrate the accuracy and efficiency of the proposed methods. Journal: International Journal of Systems Science Pages: 1411-1420 Issue: 8 Volume: 46 Year: 2015 Month: 6 X-DOI: 10.1080/00207721.2013.822605 File-URL: http://hdl.handle.net/10.1080/00207721.2013.822605 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:8:p:1411-1420 Template-Type: ReDIF-Article 1.0 Author-Name: A. BenAbdallah Author-X-Name-First: A. Author-X-Name-Last: BenAbdallah Author-Name: T. Khalifa Author-X-Name-First: T. Author-X-Name-Last: Khalifa Author-Name: M. Mabrouk Author-X-Name-First: M. Author-X-Name-Last: Mabrouk Title: Adaptive practical output tracking control for a class of uncertain nonlinear systems Abstract: This paper investigates the problem of adaptive practical tracking control by output feedback for a class of uncertain nonlinear systems without zero dynamics. The uncertain nonlinear perturbed terms of the considered systems are assumed to satisfy a generalised condition which is more relaxed than the triangular-type condition. Furthermore, in contrast to the previous work in the literature, the upper bound of the nonlinearities is a polynomial function of the output, with an unknown growth rate, multiplied by some relaxed conditions of unmeasured states. Due to the presence of unknown parametric uncertainty, a dynamic output compensator with dynamically updated gains is explicitly constructed based on non-separation principle. In particular, we show that for any positive number γ, all the states of the closed-loop systems are globally bounded and the tracking error belongs to the interval [−γ, γ] after some positive finite time. A numerical example illustrates the efficiency of the method. Journal: International Journal of Systems Science Pages: 1421-1431 Issue: 8 Volume: 46 Year: 2015 Month: 6 X-DOI: 10.1080/00207721.2013.822606 File-URL: http://hdl.handle.net/10.1080/00207721.2013.822606 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:8:p:1421-1431 Template-Type: ReDIF-Article 1.0 Author-Name: Sylvain Durand Author-X-Name-First: Sylvain Author-X-Name-Last: Durand Author-Name: Anne-Marie Alt Author-X-Name-First: Anne-Marie Author-X-Name-Last: Alt Author-Name: Daniel Simon Author-X-Name-First: Daniel Author-X-Name-Last: Simon Author-Name: Nicolas Marchand Author-X-Name-First: Nicolas Author-X-Name-Last: Marchand Title: Energy-aware feedback control for a H.264 video decoder Abstract: Embedded devices using highly integrated chips must cope with conflicting constraints, while executing computationally demanding applications under limited energy storage. Automatic control and feedback loops appear to be an effective solution to simultaneously accommodate for performance uncertainties due to the tiny scale gates variability, varying and poorly predictable computing demands and limited energy storage constraints. This paper presents the example of an embedded video decoder controlled by several feedback loops to carry out the trade-off between decoding quality and energy consumption, exploiting the frequency and voltage scaling capabilities of the chip. The inner loop controls the dynamic voltage and frequency scaling through a fast predictive control strategy. The outer loop computes the scheduling set-points needed by the inner loop to process frames decoding. The feedback loops have been implemented on a stock PC and experimental results are provided. Journal: International Journal of Systems Science Pages: 1432-1446 Issue: 8 Volume: 46 Year: 2015 Month: 6 X-DOI: 10.1080/00207721.2013.822607 File-URL: http://hdl.handle.net/10.1080/00207721.2013.822607 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:8:p:1432-1446 Template-Type: ReDIF-Article 1.0 Author-Name: Zhaoxia Peng Author-X-Name-First: Zhaoxia Author-X-Name-Last: Peng Author-Name: Guoguang Wen Author-X-Name-First: Guoguang Author-X-Name-Last: Wen Author-Name: Ahmed Rahmani Author-X-Name-First: Ahmed Author-X-Name-Last: Rahmani Author-Name: Yongguang Yu Author-X-Name-First: Yongguang Author-X-Name-Last: Yu Title: Distributed consensus-based formation control for multiple nonholonomic mobile robots with a specified reference trajectory Abstract: In this paper, the distributed formation control problem for multiple nonholonomic mobile robots using consensus-based approach is considered. A transformation is given to convert the formation control problem for multiple nonholonomic mobile robots into a state consensus problem. Distributed control laws are developed for achieving the formation control objectives: a group of nonholonomic mobile robots at least exponentially converge to a desired geometric pattern with its centroid moving along the specified reference trajectory. Rigorous proofs are provided by using graph, matrix , and Lyapunov theories. Simulations are also given to verify the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 1447-1457 Issue: 8 Volume: 46 Year: 2015 Month: 6 X-DOI: 10.1080/00207721.2013.822609 File-URL: http://hdl.handle.net/10.1080/00207721.2013.822609 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:8:p:1447-1457 Template-Type: ReDIF-Article 1.0 Author-Name: Jianxiang Xi Author-X-Name-First: Jianxiang Author-X-Name-Last: Xi Author-Name: Zhicheng Yao Author-X-Name-First: Zhicheng Author-X-Name-Last: Yao Author-Name: Guangbin Liu Author-X-Name-First: Guangbin Author-X-Name-Last: Liu Author-Name: Yisheng Zhong Author-X-Name-First: Yisheng Author-X-Name-Last: Zhong Title: Swarm stability for high-order linear time-invariant singular multi-agent systems Abstract: Swarm-stability and swarm-stabilisation problems for high-order linear time-invariant singular multi-agent systems with directed networks are investigated. First, necessary and sufficient conditions for swarm stability and asymptotic swarm stability are proposed, which are independent of the dimensions of Jordan blocks of the Laplacian matrix of the interaction topology. Then, an approach is given to determine the absolute motion as a whole, and it is shown that the absolute motion is completely determined by initial states if the interaction topology is balanced. Furthermore, an approach is presented to determine gain matrices for asymptotic swarm stabilisation. Moreover, leader-following swarm-stability and swarm-stabilisation problems are investigated. Finally, numerical examples are given to demonstrate theoretical results. Journal: International Journal of Systems Science Pages: 1458-1471 Issue: 8 Volume: 46 Year: 2015 Month: 6 X-DOI: 10.1080/00207721.2013.822610 File-URL: http://hdl.handle.net/10.1080/00207721.2013.822610 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:8:p:1458-1471 Template-Type: ReDIF-Article 1.0 Author-Name: Xiafu Wang Author-X-Name-First: Xiafu Author-X-Name-Last: Wang Author-Name: You Chen Author-X-Name-First: You Author-X-Name-Last: Chen Author-Name: Geng Lu Author-X-Name-First: Geng Author-X-Name-Last: Lu Author-Name: Yisheng Zhong Author-X-Name-First: Yisheng Author-X-Name-Last: Zhong Title: Robust attitude tracking control of small-scale unmanned helicopter Abstract: Robust attitude control problem for small-scale unmanned helicopters is investigated to improve attitude control performances of roll and pitch channels under both small and large amplitude manoeuvre flight conditions. The model of the roll or pitch angular dynamics is regarded as a nominal single-input single-output linear system with equivalent disturbances which contain nonlinear uncertainties, coupling-effects, parameter perturbations, and external disturbances. Based on the signal compensation method, a robust controller is designed with two parts: a proportional-derivative controller and a robust compensator. The designed controller is linear and time-invariant, so it can be easily realised. The robust properties of the closed-loop system are proven. According to the ADS-33E-PRF military rotorcraft standard, the controller can achieve top control performances. Experimental results demonstrate the effectiveness of the proposed control strategy. Journal: International Journal of Systems Science Pages: 1472-1485 Issue: 8 Volume: 46 Year: 2015 Month: 6 X-DOI: 10.1080/00207721.2013.822939 File-URL: http://hdl.handle.net/10.1080/00207721.2013.822939 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:8:p:1472-1485 Template-Type: ReDIF-Article 1.0 Author-Name: Ravi Shankar Kumar Author-X-Name-First: Ravi Shankar Author-X-Name-Last: Kumar Author-Name: A. Goswami Author-X-Name-First: A. Author-X-Name-Last: Goswami Title: EPQ model with learning consideration, imperfect production and partial backlogging in fuzzy random environment Abstract: The article scrutinises the learning effect of the unit production time on optimal lot size for the uncertain and imprecise imperfect production process, wherein shortages are permissible and partially backlogged. Contextually, we contemplate the fuzzy chance of production process shifting from an ‘in-control’ state to an ‘out-of-control’ state and re-work facility of imperfect quality of produced items. The elapsed time until the process shifts is considered as a fuzzy random variable, and consequently, fuzzy random total cost per unit time is derived. Fuzzy expectation and signed distance method are used to transform the fuzzy random cost function into an equivalent crisp function. The results are illustrated with the help of numerical example. Finally, sensitivity analysis of the optimal solution with respect to major parameters is carried out. Journal: International Journal of Systems Science Pages: 1486-1497 Issue: 8 Volume: 46 Year: 2015 Month: 6 X-DOI: 10.1080/00207721.2013.823527 File-URL: http://hdl.handle.net/10.1080/00207721.2013.823527 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:8:p:1486-1497 Template-Type: ReDIF-Article 1.0 Author-Name: Michael Basin Author-X-Name-First: Michael Author-X-Name-Last: Basin Author-Name: Manuel Jimenez-Lizarraga Author-X-Name-First: Manuel Author-X-Name-Last: Jimenez-Lizarraga Author-Name: Pablo Rodriguez-Ramirez Author-X-Name-First: Pablo Author-X-Name-Last: Rodriguez-Ramirez Author-Name: Celeste Rodriguez-Carreon Author-X-Name-First: Celeste Author-X-Name-Last: Rodriguez-Carreon Title: Optimal control for a polynomial system with a quadratic criterion over infinite horizon Abstract: This paper proposes an optimal control algorithm for a polynomial system with a quadratic criterion over infinite horizon. The designed regulator gives a closed-form solution to the infinite horizon optimal control problem for a polynomial system with a quadratic criterion. The obtained solution consists of a feedback control law obtained by solving a Riccati algebraic equation dependent on the state. Numerical simulations in the example show advantages of the developed algorithm. Journal: International Journal of Systems Science Pages: 1498-1509 Issue: 8 Volume: 46 Year: 2015 Month: 6 X-DOI: 10.1080/00207721.2013.823528 File-URL: http://hdl.handle.net/10.1080/00207721.2013.823528 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:8:p:1498-1509 Template-Type: ReDIF-Article 1.0 Author-Name: Shaocheng Tong Author-X-Name-First: Shaocheng Author-X-Name-Last: Tong Author-Name: Yinyin Xu Author-X-Name-First: Yinyin Author-X-Name-Last: Xu Author-Name: Yongming Li Author-X-Name-First: Yongming Author-X-Name-Last: Li Title: Adaptive fuzzy decentralised control for stochastic nonlinear large-scale systems in pure-feedback form Abstract: This paper is concerned with the problem of adaptive fuzzy decentralised output-feedback control for a class of uncertain stochastic nonlinear pure-feedback large-scale systems with completely unknown functions, the mismatched interconnections and without requiring the states being available for controller design. With the help of fuzzy logic systems approximating the unknown nonlinear functions, a fuzzy state observer is designed estimating the unmeasured states. Therefore, the nonlinear filtered signals are incorporated into the backstepping recursive design, and an adaptive fuzzy decentralised output-feedback control scheme is developed. It is proved that the filter system converges to a small neighbourhood of the origin based on appropriate choice of the design parameters. Simulation studies are included illustrating the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 1510-1524 Issue: 8 Volume: 46 Year: 2015 Month: 6 X-DOI: 10.1080/00207721.2013.828797 File-URL: http://hdl.handle.net/10.1080/00207721.2013.828797 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:8:p:1510-1524 Template-Type: ReDIF-Article 1.0 Author-Name: Changchun Hua Author-X-Name-First: Changchun Author-X-Name-Last: Hua Author-Name: Caihong Ye Author-X-Name-First: Caihong Author-X-Name-Last: Ye Author-Name: Xinping Guan Author-X-Name-First: Xinping Author-X-Name-Last: Guan Title: Control for wireless networked control systems based on 802.11b Abstract: In this article, the stabilisation problem is considered for a wireless networked control system. A new model is constructed by integrating the wireless network protocols in IEEE802.11 with control systems. All the possible delays and dropouts are considered in the new model for the packets to be transmitted on both the sensor-to-controller side and the controller-to-actuator side of the WNCS structure. A linear state feedback controller is designed to stabilise the model. The results are given in the form of linear matrix inequalities. Finally, simulations are performed to show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1387-1396 Issue: 8 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903494684 File-URL: http://hdl.handle.net/10.1080/00207720903494684 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:8:p:1387-1396 Template-Type: ReDIF-Article 1.0 Author-Name: Hui-Ling Yang Author-X-Name-First: Hui-Ling Author-X-Name-Last: Yang Title: A partial backlogging production-inventory lot-size model for deteriorating items with time-varying production and demand rate over a finite time horizon Abstract: In this article, I extend Balkhi ((2001), ‘On a Finite Horizon Production Lot Size Inventory Model for Deteriorating Items: An Optimal Solution’, European Journal of Operational Research, 132, 210–223), by considering a generalised mathematical production-inventory model for deteriorating items with partial backlogging. The demand, production and backlogging rates are assumed to be continuous and varying with time. The objective is to find the optimal production restarting and stopping time to keep the total relevant cost as low as possible. To ascertain the optimal solution exists, the conditions for the total relevant cost in the system which attains its global minimum are provided. In addition, based on the minimum total relevant cost, an alternative among the proposed four cases is also suggested. Finally, a numerical example and sensitivity analysis is illustrated and some management insights are presented. Journal: International Journal of Systems Science Pages: 1397-1407 Issue: 8 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903576464 File-URL: http://hdl.handle.net/10.1080/00207720903576464 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:8:p:1397-1407 Template-Type: ReDIF-Article 1.0 Author-Name: Monami Roy Author-X-Name-First: Monami Author-X-Name-Last: Roy Author-Name: Shib Sana Author-X-Name-First: Shib Author-X-Name-Last: Sana Author-Name: Kripasindhu Chaudhuri Author-X-Name-First: Kripasindhu Author-X-Name-Last: Chaudhuri Title: An economic order quantity model of imperfect quality items with partial backlogging Abstract: This article deals with an economic order quantity (EOQ) model in which a certain percentage of a lotsize is of imperfect quality products. This percentage follows a uniform distribution function. During the inspection of the total lot-size, a stock-out situation may occur. In a stock-out situation, a partial fraction of the demand is adjusted by partial back ordering and the rest of the demand is considered as a case of lost sales. The associated integrated expected profit function is generalised for the general distribution function of imperfect quality products. Then the objective function is maximised. Also, three special cases of the general model are studied. A suitable numerical example is provided to illustrate the model and the solution procedure. Comparison between the general and special cases are also shown with the help of numerical examples. Sensitivity analysis of the optimal solutions with respect to all individual parameters of the general model is carried out. Journal: International Journal of Systems Science Pages: 1409-1419 Issue: 8 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903576498 File-URL: http://hdl.handle.net/10.1080/00207720903576498 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:8:p:1409-1419 Template-Type: ReDIF-Article 1.0 Author-Name: Hamid Shaker Author-X-Name-First: Hamid Author-X-Name-Last: Shaker Author-Name: Rafael Wisniewski Author-X-Name-First: Rafael Author-X-Name-Last: Wisniewski Title: Generalised gramian framework for model/controller order reduction of switched systems Abstract: In this article, a general method for model/controller order reduction of switched linear dynamical systems is presented. The proposed technique is based on the generalised gramian framework for model reduction. It is shown that different classical reduction methods can be developed into a generalised gramian framework. Balanced reduction within a specified frequency bound is developed within this framework. In order to avoid numerical instability and also to increase the numerical efficiency, generalised gramian‐based Petrov–Galerkin projection is constructed instead of the similarity transform approach for reduction. The framework is developed for switched controller reduction. To the best of our knowledge, there is no other reported result on switched controller reduction in the literature. The method preserves the stability under an arbitrary switching signal for both model and controller reduction. Furthermore, it is applicable to both continuous and discrete time systems for different classical gramian‐based reduction methods. The performance of the proposed method is illustrated by numerical examples. Journal: International Journal of Systems Science Pages: 1277-1291 Issue: 8 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003624568 File-URL: http://hdl.handle.net/10.1080/00207721003624568 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:8:p:1277-1291 Template-Type: ReDIF-Article 1.0 Author-Name: Ajanta Roy Author-X-Name-First: Ajanta Author-X-Name-Last: Roy Author-Name: G.P. Samanta Author-X-Name-First: G.P. Author-X-Name-Last: Samanta Title: Inventory model with two rates of production for deteriorating items with permissible delay in payments Abstract: Goyal (1985) [‘Economic Order Quantity Under Conditions of Permissible Delay in Payments’, Journal of Operational research Society, 36, 35–38] assumed that unit selling price and unit purchasing price are equal. But in real-life the scenario is different. The purpose of this article is to reflect the real life problem by allowing unit selling price and purchasing price to be unequal. Our model is a continuous production control inventory model for deteriorating items in which two different rates of production are available. The results are illustrated with the help of a numerical example. We discuss the sensitivity of the solution together with the changes of the values of the parameters associated with the model. Our model may be applicable in many manufacturing planning situations where management practices for deterioration are stringent; e.g. the two-production rate will be more profitable than the one-production rate in the manufacture of cold, asthma and allergy medicine. Our proposed model might be applicable to develop a prototype advance planning system for those manufacturers to integrate the management science techniques into commercial planning. Journal: International Journal of Systems Science Pages: 1375-1386 Issue: 8 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003646256 File-URL: http://hdl.handle.net/10.1080/00207721003646256 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:8:p:1375-1386 Template-Type: ReDIF-Article 1.0 Author-Name: Qichao Zhao Author-X-Name-First: Qichao Author-X-Name-Last: Zhao Author-Name: Yan Lin Author-X-Name-First: Yan Author-X-Name-Last: Lin Title: Adaptive dynamic surface control for a class of output-feedback nonlinear systems with guaranteed ℒ tracking performance Abstract: In this article, an output-feedback adaptive dynamic surface control (DSC) is proposed for a class of nonlinear systems. It is proved that, by using the new scheme, the explosion of the complexity problem in a traditional backstepping design can be eliminated, the semi-global stability of a closed-loop system can be guaranteed and, in particular, by choosing the design parameters and initialising the filters and the update law properly, we show that the ℒ∞ performance of the system-tracking error can be achieved without over-parametrisation. Another advantage of the proposed scheme compared with those traditional backstepping control and current adaptive DSC schemes, whose adaptive control law is obtained through a series of steps recursively, is that the adaptive law is needed only at the first design step, and therefore significantly reduces the design procedure. Journal: International Journal of Systems Science Pages: 1351-1362 Issue: 8 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003768175 File-URL: http://hdl.handle.net/10.1080/00207721003768175 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:8:p:1351-1362 Template-Type: ReDIF-Article 1.0 Author-Name: Chih-Peng Huang Author-X-Name-First: Chih-Peng Author-X-Name-Last: Huang Title: Controller synthesis for uncertain fuzzy systems with integrating multiple time-varying delays Abstract: This article mainly investigates the controller synthesis for uncertain fuzzy systems with integrating multiple time-varying delays, which can describe a much larger class of nonlinear systems or uncertain time-delay systems. First, a sufficient stability condition for the unforced Takagi–Sugeno (T-S) fuzzy models with multiple time-varying delays and uncertainties are derived. By involving the parallel distributed compensator (PDC), some design conditions for the resulting closed-loop fuzzy systems are further presented. These proposed conditions are all expressed in terms of linear matrix inequalities (LMIs), and we can readily perform the PDC synthesis from current LMI solvers. Numerical examples are given to demonstrate the validity and superiority of the proposed approach. Journal: International Journal of Systems Science Pages: 1339-1349 Issue: 8 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.488759 File-URL: http://hdl.handle.net/10.1080/00207721.2010.488759 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:8:p:1339-1349 Template-Type: ReDIF-Article 1.0 Author-Name: Hsiu-Mei Lee Author-X-Name-First: Hsiu-Mei Author-X-Name-Last: Lee Author-Name: Jong-Wuu Wu Author-X-Name-First: Jong-Wuu Author-X-Name-Last: Wu Author-Name: Chia-Ling Lei Author-X-Name-First: Chia-Ling Author-X-Name-Last: Lei Author-Name: Wen-Liang Hung Author-X-Name-First: Wen-Liang Author-X-Name-Last: Hung Title: Implementing lifetime performance index of products with two-parameter exponential distribution Abstract: The manufacturing industry has prioritised enhancing the quality, lifetime and conforming rate of products. Process capability indices (PCIs) are used to measure process potential and performance. The process capability is evaluated with product survival time and a longer lifetime implies a better process capability and a higher reliability. In order to save experimental time and cost, a censored sample arises in practice. In the case of product possessing a two-parameter exponential distribution, this study constructs a uniformly minimum variance unbiased estimator (UMVUE) of the lifetime performance index based on the type II right-censored sample. Then the UMVUE of the lifetime performance index is utilised to develop the new hypothesis testing procedure in the condition of known lower specification limit. Finally, two practical examples are illustrated to employ the testing procedure to determine whether the product is reliable. Journal: International Journal of Systems Science Pages: 1305-1321 Issue: 8 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.494774 File-URL: http://hdl.handle.net/10.1080/00207721.2010.494774 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:8:p:1305-1321 Template-Type: ReDIF-Article 1.0 Author-Name: Tomomichi Hagiwara Author-X-Name-First: Tomomichi Author-X-Name-Last: Hagiwara Title: Block checker/diagonal transformation matrices, their properties, and the interplay with fast-lifting Abstract: This article introduces what we call block checker matrices with some specific structures characterised by a set of integers, and then introduces the permutation matrices called block checker/diagonal (BCD) transformation matrices that relate block checker matrices with block diagonal matrices through similarity transformations. The study is motivated by the importance of the fast-lifting technique in control theory, especially in the study of sampled-data systems and time-delay systems. More precisely, it is partly motivated by the desire for alleviating the bother of describing the class of the matrices commuting with block diagonal matrices, and for such a purpose the permutation with BCD transformation matrices is helpful. The study further extends to investigating the various useful properties among BCD transformation matrices, as well as their interplay relations with various variants of fast-lifting, e.g. full-vector fast-lifting and subvector-wise fast-lifting, or one-stage fast-lifting and two-stage fast-lifting. The usefulness of the results in the context of the fast-lifting treatment is also suggested. Journal: International Journal of Systems Science Pages: 1293-1303 Issue: 8 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.496057 File-URL: http://hdl.handle.net/10.1080/00207721.2010.496057 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:8:p:1293-1303 Template-Type: ReDIF-Article 1.0 Author-Name: Yun Zhou Author-X-Name-First: Yun Author-X-Name-Last: Zhou Author-Name: Lei Zhao Author-X-Name-First: Lei Author-X-Name-Last: Zhao Author-Name: Xiaobo Zhao Author-X-Name-First: Xiaobo Author-X-Name-Last: Zhao Author-Name: Jianhua Jiang Author-X-Name-First: Jianhua Author-X-Name-Last: Jiang Title: A supplier selection and order allocation problem with stochastic demands Abstract: We consider a system comprising a retailer and a set of candidate suppliers that operates within a finite planning horizon of multiple periods. The retailer replenishes its inventory from the suppliers and satisfies stochastic customer demands. At the beginning of each period, the retailer makes decisions on the replenishment quantity, supplier selection and order allocation among the selected suppliers. An optimisation problem is formulated to minimise the total expected system cost, which includes an outer level stochastic dynamic program for the optimal replenishment quantity and an inner level integer program for supplier selection and order allocation with a given replenishment quantity. For the inner level subproblem, we develop a polynomial algorithm to obtain optimal decisions. For the outer level subproblem, we propose an efficient heuristic for the system with integer-valued inventory, based on the structural properties of the system with real-valued inventory. We investigate the efficiency of the proposed solution approach, as well as the impact of parameters on the optimal replenishment decision with numerical experiments. Journal: International Journal of Systems Science Pages: 1323-1338 Issue: 8 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.517864 File-URL: http://hdl.handle.net/10.1080/00207721.2010.517864 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:8:p:1323-1338 Template-Type: ReDIF-Article 1.0 Author-Name: L.Z. Guo Author-X-Name-First: L.Z. Author-X-Name-Last: Guo Author-Name: S.A. Billings Author-X-Name-First: S.A. Author-X-Name-Last: Billings Author-Name: D. Coca Author-X-Name-First: D. Author-X-Name-Last: Coca Author-Name: M. Balikhin Author-X-Name-First: M. Author-X-Name-Last: Balikhin Title: Bayesian identification of stochastic linear systems with observations at multiple scales Abstract: A Bayesian system identification approach to modelling stochastic linear dynamical systems involving multiple scales is proposed, where multiscale means that the output of the system is observed at one (coarse) resolution whilst the input of the system can only be observed at another (fine) resolution. The proposed method identifies linear models at different levels of resolution, where the link between the two resolutions is realised via a non-overlapping averaging process. The averaged data at the coarse level of resolution is assumed to be a set of observations from an implied process so that the implied process and the output of the system result in an errors-in-variables model at the coarse level of resolution. By using a Bayesian inference and Markov chain Monte Carlo method, such a modelling framework results in different dynamical models at different levels of resolution at the same time. The new method is also shown to have the ability to combine information across different levels of resolution. Simulation examples are provided to show the efficiency of the new method. Furthermore, an application to the analysis of the relativistic electron intensity at the geosynchronous orbit is also included. Journal: International Journal of Systems Science Pages: 1363-1373 Issue: 8 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.518253 File-URL: http://hdl.handle.net/10.1080/00207721.2010.518253 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:8:p:1363-1373 Template-Type: ReDIF-Article 1.0 Author-Name: Fernanda Coutinho Author-X-Name-First: Fernanda Author-X-Name-Last: Coutinho Author-Name: Rui Cortesão Author-X-Name-First: Rui Author-X-Name-Last: Cortesão Title: Adaptive stiffness estimation for compliant robotic manipulation using stochastic disturbance models Abstract: To achieve haptic telepresence and proper contact behaviour, the control action of a robotic manipulator must be designed with respect to contact parameters. Unfortunately, it is hard to know these parameters exactly in unknown or partly known environments. In this case, contact instability and poor dynamic accuracy can arise due to the presence of modelling errors in the control design. To overcome these problems, online estimation of the relevant contact parameters can be performed, with corresponding adaptation of control laws. This article presents an algorithm for online stiffness estimation for compliant robotic manipulation based on the extended state-space representation of the system and force signals. No position or velocity measurements are required. The algorithm, supported by theoretical analysis, uses offline data concerning several stiffness mismatch scenarios and, through a least square error analysis, computes an estimate of the stiffness value. Simulation results are presented, with fast and accurate estimation even in the presence of noise, highlighting the merits of the method. Journal: International Journal of Systems Science Pages: 1241-1252 Issue: 8 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.588888 File-URL: http://hdl.handle.net/10.1080/00207721.2011.588888 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:8:p:1241-1252 Template-Type: ReDIF-Article 1.0 Author-Name: B. Costa Author-X-Name-First: B. Author-X-Name-Last: Costa Author-Name: J.M. Lemos Author-X-Name-First: J.M. Author-X-Name-Last: Lemos Author-Name: L.G. Rosa Author-X-Name-First: L.G. Author-X-Name-Last: Rosa Title: Temperature control of a solar furnace for material testing Abstract: A solar furnace is a thermodynamic device that concentrates sun radiation in order to achieve high-temperatures at a focus, where a sample of the material to be tested is located. This article address the problem of designing a control architecture for solar furnaces. It is motivated by the use of a solar furnace as an instrument in material science research to perform two types of experimental tests. In the first type, samples are tested in high-temperature stress cycles. In these experiments it is important to control the temperature profile. The second test type is characterised by imposing a solar radiation flux profile. On both experiment types there are strong nonlinear effects, a significant degree of parametric uncertainty and disturbances, such as solar radiation fluctuation due to clouds and to sun's apparent movement. Although the actuator (shutter) is much faster than the thermic system, it may destabilise the overall controlled system. The contribution of this article consists in the design of a control architecture for solar furnaces and the application of singular perturbation methods in order to derive conditions in the form of bounds for the speed of actuator dynamics so that the closed-loop system is stable. Journal: International Journal of Systems Science Pages: 1253-1264 Issue: 8 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.588894 File-URL: http://hdl.handle.net/10.1080/00207721.2011.588894 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:8:p:1253-1264 Template-Type: ReDIF-Article 1.0 Author-Name: A. Ferramosca Author-X-Name-First: A. Author-X-Name-Last: Ferramosca Author-Name: D. Limon Author-X-Name-First: D. Author-X-Name-Last: Limon Author-Name: I. Alvarado Author-X-Name-First: I. Author-X-Name-Last: Alvarado Author-Name: T. Alamo Author-X-Name-First: T. Author-X-Name-Last: Alamo Author-Name: F. Castaño Author-X-Name-First: F. Author-X-Name-Last: Castaño Author-Name: E.F. Camacho Author-X-Name-First: E.F. Author-X-Name-Last: Camacho Title: Optimal MPC for tracking of constrained linear systems Abstract: Model predictive control (MPC) is one of the few techniques which is able to handle constraints on both state and input of the plant. The admissible evolution and asymptotic convergence of the closed-loop system is ensured by means of suitable choice of the terminal cost and terminal constraint. However, most of the existing results on MPC are designed for a regulation problem. If the desired steady-state changes, the MPC controller must be redesigned to guarantee the feasibility of the optimisation problem, the admissible evolution as well as the asymptotic stability. Recently, a novel MPC has been proposed to ensure the feasibility of the optimisation problem, constraints satisfaction and asymptotic evolution of the system to any admissible target steady-state. A drawback of this controller is the loss of a desirable property of the MPC controllers: the local optimality property. In this article, a novel formulation of the MPC for tracking is proposed aimed to recover the optimality property maintaining all the properties of the original formulation. Journal: International Journal of Systems Science Pages: 1265-1276 Issue: 8 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.588895 File-URL: http://hdl.handle.net/10.1080/00207721.2011.588895 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:8:p:1265-1276 Template-Type: ReDIF-Article 1.0 Author-Name: Miguel Botto Author-X-Name-First: Miguel Author-X-Name-Last: Botto Title: Editorial Journal: Pages: 1239-1240 Issue: 8 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.589229 File-URL: http://hdl.handle.net/10.1080/00207721.2011.589229 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:8:p:1239-1240 Template-Type: ReDIF-Article 1.0 Author-Name: Ying-ping Chen Author-X-Name-First: Ying-ping Author-X-Name-Last: Chen Author-Name: Chung-Yao Chuang Author-X-Name-First: Chung-Yao Author-X-Name-Last: Chuang Author-Name: Yuan-Wei Huang Author-X-Name-First: Yuan-Wei Author-X-Name-Last: Huang Title: Inductive linkage identification on building blocks of different sizes and types Abstract: The goal of linkage identification is to obtain the dependencies among decision variables. Such information or knowledge can be applied to design crossover operators and/or the encoding schemes in genetic and evolutionary methods. Thus, promising sub-solutions to the problem will be disrupted less likely, and successful convergence may be achieved more likely. To obtain linkage information, a linkage identification technique, called Inductive Linkage Identification (ILI), was proposed recently. ILI was established upon the mechanism of perturbation and the idea of decision tree learning. By constructing a decision tree according to decision variables and fitness difference values, the interdependent variables will be determined by the adopted decision tree learning algorithm. In this article, we aim to acquire a better understanding on the characteristics of ILI, especially its behaviour under problems composed of different-sized and different-type building blocks (BBs) which are not overlapped. Experiments showed that ILI can efficiently handle BBs of different sizes and is insensitive to BB types. Our experimental observations indicate the flexibility and the applicability of ILI on various elementary BB types that are commonly adopted in related experiments. Journal: International Journal of Systems Science Pages: 2202-2213 Issue: 12 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.566639 File-URL: http://hdl.handle.net/10.1080/00207721.2011.566639 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:12:p:2202-2213 Template-Type: ReDIF-Article 1.0 Author-Name: Hongyi Li Author-X-Name-First: Hongyi Author-X-Name-Last: Li Author-Name: Honghai Liu Author-X-Name-First: Honghai Author-X-Name-Last: Liu Author-Name: Steve Hand Author-X-Name-First: Steve Author-X-Name-Last: Hand Author-Name: Chris Hilton Author-X-Name-First: Chris Author-X-Name-Last: Hilton Title: Multi-objective control for vehicle active suspension systems with random actuator delay Abstract: This article is concerned with the problem of multi-objective H∞ control for vehicle active suspension systems with random actuator delay, which can be represented by signal probability distribution. First, the dynamical equations of a quarter-car suspension model are established for the control design purpose. Secondly, when taking into account vehicle performance requirements, namely, ride comfort, suspension deflection and the probability distributed actuator delay, we present the corresponding dynamic system, which will be transformed to the stochastic system for the problem of multi-objective H∞ controller design. Third, based on the stochastic stability theory, the state feedback controller is proposed to render that the closed-loop system is exponentially stable in mean-square while simultaneously satisfying H∞ performance and the output constraint requirement. The presented condition is expressed in the form of convex optimisation problems so that it can be efficiently solved via standard numerical software. Finally, a practical design example is given to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2214-2227 Issue: 12 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.566640 File-URL: http://hdl.handle.net/10.1080/00207721.2011.566640 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:12:p:2214-2227 Template-Type: ReDIF-Article 1.0 Author-Name: Yuzhen Xue Author-X-Name-First: Yuzhen Author-X-Name-Last: Xue Author-Name: Thordur Runolfsson Author-X-Name-First: Thordur Author-X-Name-Last: Runolfsson Title: Efficient estimation of hybrid systems with applications to tracking Abstract: Particle filtering has been recognised as a superior alternative to the traditional estimation methods as it is applicable to nonlinear/non-Gaussian system. A central issue in real-time applications of particle filtering is its high computational cost. This problem is compounded when it is used in hybrid system estimation. A new particle filtering method for nonlinear/non-Gaussian hybrid system estimation is proposed in this article. The new method integrates the high-accuracy interacting multiple model particle filtering algorithm with the computationally efficient observation and transition-based most likely modes tracking particle filtering algorithm to get high-accuracy estimation with reduced computational load. The algorithm is applied to a manoeuvring target tracking application to demonstrate its efficiency. Journal: International Journal of Systems Science Pages: 2228-2239 Issue: 12 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.566641 File-URL: http://hdl.handle.net/10.1080/00207721.2011.566641 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:12:p:2228-2239 Template-Type: ReDIF-Article 1.0 Author-Name: J.G. Barajas-Ramírez Author-X-Name-First: J.G. Author-X-Name-Last: Barajas-Ramírez Author-Name: R. Femat Author-X-Name-First: R. Author-X-Name-Last: Femat Title: On the emergence of chaos in dynamical networks Abstract: We investigate how changes of specific topological features result on transitions among different bounded behaviours in dynamical networks. In particular, we focus on networks with identical dynamical systems, synchronised to a common equilibrium point, then a transition into chaotic behaviour is observed as the number of nodes and the strength of their coupling changes. We analyse the network's transverse Lyapunov exponents (tLes) to derive conditions for the emergence of bounded complex behaviour on different basic network models. We find that, for networks with a given number of nodes, chaotic behaviour emerges when the coupling strength is within a specific bounded interval; this interval is reduced as the number of nodes increases. Furthermore, the endpoints the emergence interval depend on the coupling structure of network. We also find that networks with homogeneous connectivity, such as regular lattices and small-world networks are more conducive to the emergence of chaos than networks with heterogeneous connectivity like scale-free and star-connected graphs. Our results are illustrated with numerical simulations of the chaotic benchmark Lorenz systems, and to underline their potential applicability to real-world systems, our results are used to establish conditions for the chaotic activation of a network of electrically coupled pancreatic β-cell models. Journal: International Journal of Systems Science Pages: 2240-2248 Issue: 12 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.569585 File-URL: http://hdl.handle.net/10.1080/00207721.2011.569585 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:12:p:2240-2248 Template-Type: ReDIF-Article 1.0 Author-Name: Li Li Author-X-Name-First: Li Author-X-Name-Last: Li Author-Name: Yuanqing Xia Author-X-Name-First: Yuanqing Author-X-Name-Last: Xia Author-Name: Jiqing Qiu Author-X-Name-First: Jiqing Author-X-Name-Last: Qiu Author-Name: Hongjiu Yang Author-X-Name-First: Hongjiu Author-X-Name-Last: Yang Title: Robust networked control for discrete-time fuzzy systems with state quantisation Abstract: The problem of robust H∞ control for uncertain discrete-time Takagi and Sugeno (T-S) fuzzy networked control systems (NCSs) with state quantisation is investigated. A new model of network-based control with simultaneous consideration of network-induced delays and packet dropouts is proposed. By using a fuzzy Lyapunov–Krasovskii functional (LKF), we derive a less conservative delay-dependent stability condition for the closed-loop NCSs. Robust H∞ fuzzy controller is developed for the asymptotical stabilisation of the NCSs. Since it is not expressed as strict LMI conditions, the cone complementary linearisation procedure is exploited to solve the nonconvex feasibility problem. A numerical example shows the feasibility applications of the proposed technique. Journal: International Journal of Systems Science Pages: 2249-2260 Issue: 12 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.569672 File-URL: http://hdl.handle.net/10.1080/00207721.2011.569672 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:12:p:2249-2260 Template-Type: ReDIF-Article 1.0 Author-Name: Jia-Chi Tsou Author-X-Name-First: Jia-Chi Author-X-Name-Last: Tsou Author-Name: Seyed Hejazi Author-X-Name-First: Seyed Author-X-Name-Last: Hejazi Author-Name: Morteza Barzoki Author-X-Name-First: Morteza Author-X-Name-Last: Barzoki Title: Economic production quantity model for items with continuous quality characteristic, rework and reject Abstract: The economic production quantity (EPQ) model is a well-known and commonly used inventory control technique. However, the model is built on an unrealistic assumption that all the produced items need to be of perfect quality. Having relaxed this assumption, some researchers have studied the effects of the imperfect products on the inventory control techniques. This article, thus, attempts to develop an EPQ model with continuous quality characteristic and rework. To this end, this study assumes that a produced item follows a general distribution pattern, with its quality being perfect, imperfect or defective. The analysis of the model developed indicates that there is an optimal lot size, which generates minimum total cost. Moreover, the results show that the optimal lot size of the model equals that of the classical EPQ model in case imperfect quality percentage is zero or even close to zero. Journal: International Journal of Systems Science Pages: 2261-2267 Issue: 12 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.569769 File-URL: http://hdl.handle.net/10.1080/00207721.2011.569769 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:12:p:2261-2267 Template-Type: ReDIF-Article 1.0 Author-Name: Ewa Pawłuszewicz Author-X-Name-First: Ewa Author-X-Name-Last: Pawłuszewicz Title: Observability of nonlinear control systems on time scales Abstract: The problem of observability of the family of nonlinear control systems defined on any time scale and parameterised by time instant t0 is developed. Necessary and sufficient conditions for observability are given. Because time scale is a rich model of time that includes continuous- and discrete-time models as standard cases, the obtained results extend classical observability rank conditions given for continuous-time systems and discrete-time systems. Journal: International Journal of Systems Science Pages: 2268-2274 Issue: 12 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.569771 File-URL: http://hdl.handle.net/10.1080/00207721.2011.569771 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:12:p:2268-2274 Template-Type: ReDIF-Article 1.0 Author-Name: Seyed Niaki Author-X-Name-First: Seyed Author-X-Name-Last: Niaki Author-Name: Mohammad Ershadi Author-X-Name-First: Mohammad Author-X-Name-Last: Ershadi Title: A parameter-tuned genetic algorithm for statistically constrained economic design of multivariate CUSUM control charts: a Taguchi loss approach Abstract: In this research, the main parameters of the multivariate cumulative sum (CUSUM) control chart (the reference value k, the control limit H, the sample size n and the sampling interval h) are determined by minimising the Lorenzen–Vance cost function [Lorenzen, T.J., and Vance, L.C. (1986), ‘The Economic Design of Control Charts: A Unified Approach’, Technometrics, 28, 3–10], in which the external costs of employing the chart are added. In addition, the model is statistically constrained to achieve desired in-control and out-of-control average run lengths. The Taguchi loss approach is used to model the problem and a genetic algorithm, for which its main parameters are tuned using the response surface methodology (RSM), is proposed to solve it. At the end, sensitivity analyses on the main parameters of the cost function are presented and their practical conclusions are drawn. The results show that RSM significantly improves the performance of the proposed algorithm and the external costs of applying the chart, which are due to real-world constraints, do not increase the average total loss very much. Journal: International Journal of Systems Science Pages: 2275-2287 Issue: 12 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.570878 File-URL: http://hdl.handle.net/10.1080/00207721.2011.570878 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:12:p:2275-2287 Template-Type: ReDIF-Article 1.0 Author-Name: Qing-Quan Liu Author-X-Name-First: Qing-Quan Author-X-Name-Last: Liu Author-Name: Fang Jin Author-X-Name-First: Fang Author-X-Name-Last: Jin Title: Quantised output feedback control via limited capacity communication networks Abstract: This article addresses the output feedback stability problem for single-input single-output (SISO) linear systems with quantised measurements of the plant output, where sensors and controllers are connected via errorless digital channels carrying a finite number of bits per unit time. The main idea here is to present a lower bound of data rates, above which there exists a quantisation, coding and control scheme to guarantee both stability and a prescribed control performance of the unstable plant. A quantisation and coding scheme, which is based on the distribution of measurements and the dynamics of the plant, is proposed. The proof techniques rely on both information-theoretic and control-theoretic tools. An illustrative example is given to demonstrate the effectiveness of the proposed scheme. Journal: International Journal of Systems Science Pages: 2288-2296 Issue: 12 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.572196 File-URL: http://hdl.handle.net/10.1080/00207721.2011.572196 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:12:p:2288-2296 Template-Type: ReDIF-Article 1.0 Author-Name: Wen-Jer Chang Author-X-Name-First: Wen-Jer Author-X-Name-Last: Chang Author-Name: Yu-Teh Meng Author-X-Name-First: Yu-Teh Author-X-Name-Last: Meng Author-Name: Kuo-Hui Tsai Author-X-Name-First: Kuo-Hui Author-X-Name-Last: Tsai Title: AQM router design for TCP network via input constrained fuzzy control of time-delay affine Takagi–Sugeno fuzzy models Abstract: In this article, Takagi–Sugeno (T–S) fuzzy control theory is proposed as a key tool to design an effective active queue management (AQM) router for the transmission control protocol (TCP) networks. The probability control of packet marking in the TCP networks is characterised by an input constrained control problem in this article. By modelling the TCP network into a time-delay affine T–S fuzzy model, an input constrained fuzzy control methodology is developed in this article to serve the AQM router design. The proposed fuzzy control approach, which is developed based on the parallel distributed compensation technique, can provide smaller probability of dropping packets than previous AQM design schemes. Lastly, a numerical simulation is provided to illustrate the usefulness and effectiveness of the proposed design approach. Journal: International Journal of Systems Science Pages: 2297-2313 Issue: 12 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.572197 File-URL: http://hdl.handle.net/10.1080/00207721.2011.572197 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:12:p:2297-2313 Template-Type: ReDIF-Article 1.0 Author-Name: Jun-Ru Chang Author-X-Name-First: Jun-Ru Author-X-Name-Last: Chang Author-Name: Chin-Yu Huang Author-X-Name-First: Chin-Yu Author-X-Name-Last: Huang Author-Name: Chao-Jung Hsu Author-X-Name-First: Chao-Jung Author-X-Name-Last: Hsu Author-Name: Tsung-Han Tsai Author-X-Name-First: Tsung-Han Author-X-Name-Last: Tsai Title: Comparative performance evaluation of applying extended PIE technique to accelerate software testability analysis Abstract: The rapid development of technology provides high performance and reliability for the hardware system; based on this, software engineers can focus their developed software on more convenience and ultra-high reliability. To reach this goal, the testing stage of software development life cycle usually takes more time and effort due to the growing complexity of the software. How to build software that can be tested efficiently has become an important topic in addition to enhancing and developing new testing methods. Thus, research on software testability has been conducted and various methods have been developed. In the past, a dynamic technique for estimating program testability was proposed and called propagation, infection and execution (PIE) analysis. Previous research studies have shown that PIE analysis can complement software testing. However, this method requires a lot of computational overhead in estimating the testability of software components. In this article, we propose an extended PIE (EPIE) method to accelerate the conventional PIE analysis, based on generating group testability as a substitute for statement testability. Our proposed method can be systematically separated into three steps: breaking a program into blocks, dividing the blocks into groups and marking target statements. Experiments and evaluations with the Siemens suite, together with cost-effectiveness analysis, clearly show that the number of analysed statements can be effectively decreased, and the calculated values of testability are still acceptable. Journal: International Journal of Systems Science Pages: 2314-2333 Issue: 12 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.577243 File-URL: http://hdl.handle.net/10.1080/00207721.2011.577243 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:12:p:2314-2333 Template-Type: ReDIF-Article 1.0 Author-Name: Siva Sivatha Sindhu Author-X-Name-First: Siva Author-X-Name-Last: Sivatha Sindhu Author-Name: S. Geetha Author-X-Name-First: S. Author-X-Name-Last: Geetha Author-Name: A. Kannan Author-X-Name-First: A. Author-X-Name-Last: Kannan Title: Evolving optimised decision rules for intrusion detection using particle swarm paradigm Abstract: The aim of this article is to construct a practical intrusion detection system (IDS) that properly analyses the statistics of network traffic pattern and classify them as normal or anomalous class. The objective of this article is to prove that the choice of effective network traffic features and a proficient machine-learning paradigm enhances the detection accuracy of IDS. In this article, a rule-based approach with a family of six decision tree classifiers, namely Decision Stump, C4.5, Naive Baye's Tree, Random Forest, Random Tree and Representative Tree model to perform the detection of anomalous network pattern is introduced. In particular, the proposed swarm optimisation-based approach selects instances that compose training set and optimised decision tree operate over this trained set producing classification rules with improved coverage, classification capability and generalisation ability. Experiment with the Knowledge Discovery and Data mining (KDD) data set which have information on traffic pattern, during normal and intrusive behaviour shows that the proposed algorithm produces optimised decision rules and outperforms other machine-learning algorithm. Journal: International Journal of Systems Science Pages: 2334-2350 Issue: 12 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.577244 File-URL: http://hdl.handle.net/10.1080/00207721.2011.577244 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:12:p:2334-2350 Template-Type: ReDIF-Article 1.0 Author-Name: Yu-Chung Tsao Author-X-Name-First: Yu-Chung Author-X-Name-Last: Tsao Title: Determination of production run time and warranty length under system maintenance and trade credits Abstract: Manufacturers offer a warranty period within which they will fix failed products at no cost to customers. Manufacturers also perform system maintenance when a system is in an out-of-control state. Suppliers provide a credit period to settle the payment to manufacturers. This study considers manufacturer's production and warranty decisions for an imperfect production system under system maintenance and trade credit. Specifically, this study uses the economic production quantity to model the decisions under system maintenance and trade credit. These decisions involve how long the production run time and warranty length should be to maximise total profit. This study provides lemmas for the conditions of optimality and develops a theorem and an algorithm for solving the problems described. Numerical examples illustrate the solution procedures and provide a variety of managerial implications. Results show that simultaneously determining production and warranty decisions is superior to only determining production. This study also discusses the effects of the related parameters on manufacturer's decisions and profits. The results of this study are a useful reference for managerial decision-making and administration. Journal: International Journal of Systems Science Pages: 2351-2360 Issue: 12 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.577245 File-URL: http://hdl.handle.net/10.1080/00207721.2011.577245 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:12:p:2351-2360 Template-Type: ReDIF-Article 1.0 Author-Name: Lifeng Ma Author-X-Name-First: Lifeng Author-X-Name-Last: Ma Author-Name: Yuming Bo Author-X-Name-First: Yuming Author-X-Name-Last: Bo Author-Name: Yuchen Zhou Author-X-Name-First: Yuchen Author-X-Name-Last: Zhou Author-Name: Zhi Guo Author-X-Name-First: Zhi Author-X-Name-Last: Guo Title: Error variance-constrained ℋ filtering for a class of nonlinear stochastic systems with degraded measurements: the finite horizon case Abstract: This article is concerned with the robust ℋ∞ filtering problem for a class of time-varying nonlinear stochastic systems with error variance constraint. The stochastic nonlinearities considered are quite general, which contain several well-studied stochastic nonlinear systems as special cases. The purpose of the filtering problem is to design a filter which is capable of achieving the pre-specified ℋ∞ performance and meanwhile guaranteeing a minimised upper-bounded on the filtering error variance. By means of the adjoint system method, a necessary and sufficient condition for satisfying the ℋ∞ constraint is first given, expressed as a forward Riccati-like difference equation. Then an upper-bound on the variance of filtering error system is given, guaranteeing the error variance is not more than a certain value at each sampling instant. The existence condition for the desired filter is established, in terms of the feasibility of a set of difference Riccati-like equations, which can be solved forward in time, hence is suitable for online computation. A numerical example is presented finally to show the effectiveness and applicability of the proposed method. Journal: International Journal of Systems Science Pages: 2361-2372 Issue: 12 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.577249 File-URL: http://hdl.handle.net/10.1080/00207721.2011.577249 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:12:p:2361-2372 Template-Type: ReDIF-Article 1.0 Author-Name: Bayi Cheng Author-X-Name-First: Bayi Author-X-Name-Last: Cheng Author-Name: Shanlin Yang Author-X-Name-First: Shanlin Author-X-Name-Last: Yang Author-Name: Ying Ma Author-X-Name-First: Ying Author-X-Name-Last: Ma Title: Minimising makespan for two batch-processing machines with non-identical job sizes in job shop Abstract: In this article, the job shop scheduling problem with two batch-processing machines is considered. The machines have limited capacity and the jobs have non-identical job sizes. The jobs are processed in batches and the total size of each batch cannot exceed the machine capacity. The processing times of a job on the two machines are proportional. We show the problem of minimising makespan is NP-hard in the strong sense. Then we provide an approximation algorithm with worst-case ratio no more than 4, and the running time of the algorithm is O(n log n). Finally, the performance of the proposed algorithm is tested by different levels of instances. Computational results demonstrate the effectiveness of the algorithm for all the instances. Journal: International Journal of Systems Science Pages: 2185-2192 Issue: 12 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.577250 File-URL: http://hdl.handle.net/10.1080/00207721.2011.577250 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:12:p:2185-2192 Template-Type: ReDIF-Article 1.0 Author-Name: Shin-Ju Chen Author-X-Name-First: Shin-Ju Author-X-Name-Last: Chen Author-Name: Sung-Pei Yang Author-X-Name-First: Sung-Pei Author-X-Name-Last: Yang Author-Name: Lin-Goei Shiau Author-X-Name-First: Lin-Goei Author-X-Name-Last: Shiau Title: Guardian map approach to robust stability of interval systems Abstract: A systematic approach for the robust Hurwitz and Schur stability of the dynamic interval systems is proposed. An interval matrix is expressed as a linear fractional transformation (LFT) of an interconnection matrix with structured real parametric uncertainties. Based on guardian map theory and µ-analysis, a new approach is provided to derive the necessary and sufficient conditions in terms of the structured singular value (μ) ensuring the stability robustness of interval systems. This approach is feasible for both continuous- and discrete-time interval systems by a unified LFT framework, and it is applicable directly to D-stability for performance requirements. Journal: International Journal of Systems Science Pages: 2193-2201 Issue: 12 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2012.659700 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659700 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:12:p:2193-2201 Template-Type: ReDIF-Article 1.0 Author-Name: The Editors Title: List of Reviewers Journal: International Journal of Systems Science Pages: 2373-2378 Issue: 12 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2012.731283 File-URL: http://hdl.handle.net/10.1080/00207721.2012.731283 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:12:p:2373-2378 Template-Type: ReDIF-Article 1.0 Author-Name: Quanmin Zhu Author-X-Name-First: Quanmin Author-X-Name-Last: Zhu Author-Name: Dingli Yu Author-X-Name-First: Dingli Author-X-Name-Last: Yu Author-Name: Dongya Zhao Author-X-Name-First: Dongya Author-X-Name-Last: Zhao Title: An enhanced linear Kalman filter (EnLKF) algorithm for parameter estimation of nonlinear rational models Abstract: In this study, an enhanced Kalman Filter formulation for linear in the parameters models with inherent correlated errors is proposed to build up a new framework for nonlinear rational model parameter estimation. The mechanism of linear Kalman filter (LKF) with point data processing is adopted to develop a new recursive algorithm. The novelty of the enhanced linear Kalman filter (EnLKF in short and distinguished from extended Kalman filter (EKF)) is that it is not formulated from the routes of extended Kalman Filters (to approximate nonlinear models by linear approximation around operating points through Taylor expansion) and also it includes LKF as its subset while linear models have no correlated errors in regressor terms. No matter linear or nonlinear models in representing a system from measured data, it is very common to have correlated errors between measurement noise and regression terms, the EnLKF provides a general solution for unbiased model parameter estimation without extra cost to convert model structure. The associated convergence is analysed to provide a quantitative indicator for applications and reference for further research. Three simulated examples are selected to bench-test the performance of the algorithm. In addition, the style of conducting numerical simulation studies provides a user-friendly step by step procedure for the readers/users with interest in their ad hoc applications. It should be noted that this approach is fundamentally different from those using linearisation to approximate nonlinear models and then conduct state/parameter estimate. Journal: International Journal of Systems Science Pages: 451-461 Issue: 3 Volume: 48 Year: 2017 Month: 2 X-DOI: 10.1080/00207721.2016.1186243 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1186243 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:3:p:451-461 Template-Type: ReDIF-Article 1.0 Author-Name: Haoyi Mo Author-X-Name-First: Haoyi Author-X-Name-Last: Mo Author-Name: Xueyan Zhao Author-X-Name-First: Xueyan Author-X-Name-Last: Zhao Author-Name: Feiqi Deng Author-X-Name-First: Feiqi Author-X-Name-Last: Deng Title: Exponential mean-square stability of the θ-method for neutral stochastic delay differential equations with jumps Abstract: The exponential mean-square stability of the θ-method for neutral stochastic delay differential equations (NSDDEs) with jumps is considered. With some monotone conditions, the trivial solution of the equation is proved to be exponentially mean-square stable. If the drift coefficient and the parameters satisfy more strengthened conditions, for the constrained stepsize, it is shown that the θ-method can preserve the exponential mean-square stability of the trivial solution for θ ∈ [0, 1]. Since θ-method covers the commonly used Euler–Maruyama (EM) method and the backward Euler–Maruyama (BEM) method, the results are valid for the above two methods. Moreover, they can adapt to the NSDDEs and the stochastic delay differential equations (SDDEs) with jumps. Finally, a numerical example illustrates the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 462-470 Issue: 3 Volume: 48 Year: 2017 Month: 2 X-DOI: 10.1080/00207721.2016.1186245 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1186245 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:3:p:462-470 Template-Type: ReDIF-Article 1.0 Author-Name: Wenjing Ren Author-X-Name-First: Wenjing Author-X-Name-Last: Ren Author-Name: Hao Yang Author-X-Name-First: Hao Author-X-Name-Last: Yang Author-Name: Bin Jiang Author-X-Name-First: Bin Author-X-Name-Last: Jiang Author-Name: Marcel Staroswiecki Author-X-Name-First: Marcel Author-X-Name-Last: Staroswiecki Title: Fault recoverability analysis of switched nonlinear systems Abstract: The recoverability reflects the capability of the system to tolerate the worst faults over a prescribed set under admissible energy constraints. In this paper, we present the minimum amount of control energy required to drive the initial state of a nonlinear system to the origin under certain assumptions, and we also give the corresponding optimal control law. This result is then extended to switched nonlinear systems under given switching signals. On this basis, a novel fault recoverability evaluation scheme is proposed for switched nonlinear systems with respect to the given limit of energy cost. Simulation results verify the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 471-484 Issue: 3 Volume: 48 Year: 2017 Month: 2 X-DOI: 10.1080/00207721.2016.1186246 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1186246 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:3:p:471-484 Template-Type: ReDIF-Article 1.0 Author-Name: J. J. Fu Author-X-Name-First: J. J. Author-X-Name-Last: Fu Author-Name: J. Z. Wang Author-X-Name-First: J. Z. Author-X-Name-Last: Wang Author-Name: Z. K. Li Author-X-Name-First: Z. K. Author-X-Name-Last: Li Title: Leader-following control of perturbed second-order integrator systems with binary relative information Abstract: In this paper, we study the leader-following control problem for second-order integrator systems with bounded input disturbances using only binary relative position and velocity information. The leader is allowed to be dynamically evolving with a bounded acceleration which is unknown to any of the followers. With the proposed distributed controller, we prove that despite the fact that only very coarse relative information is available, robust finite-time leader-following control can be achieved by properly choosing the control gains. As an extension, robust finite-time formation control can also be achieved with the proposed control strategy using only binary relative information. Two simulation examples are provided to illustrate the results. Journal: International Journal of Systems Science Pages: 485-493 Issue: 3 Volume: 48 Year: 2017 Month: 2 X-DOI: 10.1080/00207721.2016.1186247 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1186247 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:3:p:485-493 Template-Type: ReDIF-Article 1.0 Author-Name: M. V. Thuan Author-X-Name-First: M. V. Author-X-Name-Last: Thuan Author-Name: H. Trinh Author-X-Name-First: H. Author-X-Name-Last: Trinh Author-Name: D. C. Huong Author-X-Name-First: D. C. Author-X-Name-Last: Huong Title: Reachable sets bounding for switched systems with time-varying delay and bounded disturbances Abstract: In this paper, we address the problem of finding outer bound of forward reachable sets and inter-bound of backward reachable sets of switched systems with an interval time-varying delay and bounded disturbances. By constructing a flexible Lyapunov–Krasovskii functional combining with some recent refined integral-based inequalities, some sufficient conditions are derived for the existence of (1) the smallest possible outer bound of forwards reachable sets; and (2) the largest possible inter-bound of backward reachable sets. These conditions are delay dependent and in the form of linear matrix inequalities, which therefore can be efficiently solved by using existing convex algorithms. A constructive geometric design of switching laws is also presented. Two numerical examples with simulation results are provided to demonstrate the effectiveness of our results. Journal: International Journal of Systems Science Pages: 494-504 Issue: 3 Volume: 48 Year: 2017 Month: 2 X-DOI: 10.1080/00207721.2016.1186248 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1186248 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:3:p:494-504 Template-Type: ReDIF-Article 1.0 Author-Name: Yinqiu Wang Author-X-Name-First: Yinqiu Author-X-Name-Last: Wang Author-Name: Changbin Yu Author-X-Name-First: Changbin Author-X-Name-Last: Yu Author-Name: Fengmin Yu Author-X-Name-First: Fengmin Author-X-Name-Last: Yu Author-Name: Li Gao Author-X-Name-First: Li Author-X-Name-Last: Gao Title: Quaternion-based attitude synchronisation for multiple rigid bodies in the presence of actuator saturation Abstract: This paper concentrates on the quaternion-based attitude synchronisation problems of networked rigid bodies under fixed and undirected communication topology without relative angular measurements in the presence of actuator saturation. We first consider the leaderless attitude synchronisation problem with zero final angular velocity. In this case, we not only discuss the performance under the acyclic communication topology with the proposed bounded control algorithm, but also analyse that if there exist cycles in the topology, the proposed bounded algorithm guarantees that all equilibrium points are unstable except that the attitudes of networked rigid bodies achieve synchronisation. We also expand the result to the case of attitude tracking synchronisation with a static leader in the presence of actuator saturation. Next, the tracking synchronisation problem with the desired time-varying attitude is addressed in the presence of actuator saturation. Numerical examples are provided to validate the effectiveness of the proposed bounded schemes and illustrate the performances of multiple rigid bodies. Journal: International Journal of Systems Science Pages: 505-514 Issue: 3 Volume: 48 Year: 2017 Month: 2 X-DOI: 10.1080/00207721.2016.1188175 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1188175 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:3:p:505-514 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaoming Chen Author-X-Name-First: Xiaoming Author-X-Name-Last: Chen Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Author-Name: Min Meng Author-X-Name-First: Min Author-X-Name-Last: Meng Title: Controller synthesis for positive Takagi-Sugeno fuzzy systems under ℓ performance Abstract: In this paper, the problem of ℓ1-induced controller design for positive Takagi-Sugeno (T-S) fuzzy systems is investigated with the use of linear Lyapunov function. A novel performance characterisation is first established to guarantee the asymptotic stability of the closed-loop system with ℓ1-induced performance. Moreover, sufficient conditions are presented to design the required fuzzy controllers and iterative convex optimisation approaches are developed to solve the conditions. Finally, two examples are presented to show the effectiveness of the derived theoretical results. Journal: International Journal of Systems Science Pages: 515-524 Issue: 3 Volume: 48 Year: 2017 Month: 2 X-DOI: 10.1080/00207721.2016.1188176 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1188176 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:3:p:515-524 Template-Type: ReDIF-Article 1.0 Author-Name: Qiao Lin Author-X-Name-First: Qiao Author-X-Name-Last: Lin Author-Name: Qinglai Wei Author-X-Name-First: Qinglai Author-X-Name-Last: Wei Author-Name: Derong Liu Author-X-Name-First: Derong Author-X-Name-Last: Liu Title: A novel optimal tracking control scheme for a class of discrete-time nonlinear systems using generalised policy iteration adaptive dynamic programming algorithm Abstract: In this paper, a novel iterative adaptive dynamic programming (ADP) algorithm, called generalised policy iteration ADP algorithm, is developed to solve optimal tracking control problems for discrete-time nonlinear systems. The idea is to use two iteration procedures, including an i-iteration and a j-iteration, to obtain the iterative tracking control laws and the iterative value functions. By system transformation, we first convert the optimal tracking control problem into an optimal regulation problem. Then the generalised policy iteration ADP algorithm, which is a general idea of interacting policy and value iteration algorithms, is introduced to deal with the optimal regulation problem. The convergence and optimality properties of the generalised policy iteration algorithm are analysed. Three neural networks are used to implement the developed algorithm. Finally, simulation examples are given to illustrate the performance of the present algorithm. Journal: International Journal of Systems Science Pages: 525-534 Issue: 3 Volume: 48 Year: 2017 Month: 2 X-DOI: 10.1080/00207721.2016.1188177 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1188177 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:3:p:525-534 Template-Type: ReDIF-Article 1.0 Author-Name: Zhao Yin Author-X-Name-First: Zhao Author-X-Name-Last: Yin Author-Name: Wei He Author-X-Name-First: Wei Author-X-Name-Last: He Author-Name: Chenguang Yang Author-X-Name-First: Chenguang Author-X-Name-Last: Yang Title: Tracking control of a marine surface vessel with full-state constraints Abstract: In this paper, a trajectory tracking control law is proposed for a class of marine surface vessels in the presence of full-state constraints and dynamics uncertainties. A barrier Lyapunov function (BLF) based control is employed to prevent states from violating the constraints. Neural networks are used to approximate the system uncertainties in the control design, and the control law is designed by using the Moore-Penrose inverse. The proposed control is able to compensate for the effects of full-state constraints. Meanwhile, the signals in the closed-loop system are guaranteed to be semiglobally uniformly bounded, with the asymptotic tracking being achieved. Finally, the performance of the proposed control has been tested and verified by simulation studies. Journal: International Journal of Systems Science Pages: 535-546 Issue: 3 Volume: 48 Year: 2017 Month: 2 X-DOI: 10.1080/00207721.2016.1193255 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1193255 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:3:p:535-546 Template-Type: ReDIF-Article 1.0 Author-Name: Yuxin Su Author-X-Name-First: Yuxin Author-X-Name-Last: Su Author-Name: Chunhong Zheng Author-X-Name-First: Chunhong Author-X-Name-Last: Zheng Title: PID control for global finite-time regulation of robotic manipulators Abstract: This paper addresses the global finite-time regulation problem of robotic manipulators. A simple nonlinear proportional-integral-derivative (PID) control is proposed by adding a nonlinear proportional and derivative term to the commonly used PID controller. Lyapunov's stability theory and geometric homogeneity technique are employed to prove global finite-time stability. Advantages of the proposed control include the absence of modelling information in the control law formulation and the global finite-time stability featuring fast transient and high-precision positioning. Explicit conditions on the controller parameters to ensure global finite-time regulation stability are obtained. Simulations are presented to demonstrate the effectiveness and the improved performances of the proposed approach. Journal: International Journal of Systems Science Pages: 547-558 Issue: 3 Volume: 48 Year: 2017 Month: 2 X-DOI: 10.1080/00207721.2016.1193256 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1193256 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:3:p:547-558 Template-Type: ReDIF-Article 1.0 Author-Name: Bing Cui Author-X-Name-First: Bing Author-X-Name-Last: Cui Author-Name: Chunhui Zhao Author-X-Name-First: Chunhui Author-X-Name-Last: Zhao Author-Name: Tiedong Ma Author-X-Name-First: Tiedong Author-X-Name-Last: Ma Author-Name: Chi Feng Author-X-Name-First: Chi Author-X-Name-Last: Feng Title: Distributed adaptive neural network control for a class of heterogeneous nonlinear multi-agent systems subject to actuation failures Abstract: In this paper, the cooperative adaptive consensus tracking problem for heterogeneous nonlinear multi-agent systems on directed graph is addressed. Each follower is modelled as a general nonlinear system with the unknown and nonidentical nonlinear dynamics, disturbances and actuator failures. Cooperative fault tolerant neural network tracking controllers with online adaptive learning features are proposed to guarantee that all agents synchronise to the trajectory of one leader with bounded adjustable synchronisation errors. With the help of linear quadratic regulator-based optimal design, a graph-dependent Lyapunov proof provides error bounds that depend on the graph topology, one virtual matrix and some design parameters. Of particular interest is that if the control gain is selected appropriately, the proposed control scheme can be implemented in a unified framework no matter whether there are faults or not. Furthermore, the fault detection and isolation are not needed to implement. Finally, a simulation is given to verify the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 559-570 Issue: 3 Volume: 48 Year: 2017 Month: 2 X-DOI: 10.1080/00207721.2016.1193257 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1193257 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:3:p:559-570 Template-Type: ReDIF-Article 1.0 Author-Name: Fei Wang Author-X-Name-First: Fei Author-X-Name-Last: Wang Author-Name: Yongqing Yang Author-X-Name-First: Yongqing Author-X-Name-Last: Yang Title: Leader-following consensus of nonlinear fractional-order multi-agent systems via event-triggered control Abstract: This paper investigates the consensus problem of leader-following multi-agent systems with fractional-order nonlinear dynamics. A typical event is defined as some error signals exceeding a given threshold. By applying Lyapunov functional approach and skills of computing function limit, consensus of the controlled multi-agent systems can be reached asymptotically. Meanwhile, the event-triggered algorithm can exclude Zeno behaviours. Finally, a numerical simulation is exploited to verify the effectiveness of the theoretical result. Journal: International Journal of Systems Science Pages: 571-577 Issue: 3 Volume: 48 Year: 2017 Month: 2 X-DOI: 10.1080/00207721.2016.1193258 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1193258 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:3:p:571-577 Template-Type: ReDIF-Article 1.0 Author-Name: Seung Woo Lee Author-X-Name-First: Seung Woo Author-X-Name-Last: Lee Author-Name: Sung Jin Yoo Author-X-Name-First: Sung Jin Author-X-Name-Last: Yoo Title: Robust fault-tolerant prescribed performance tracking for uncertain switched pure-feedback nonlinear systems under arbitrary switching Abstract: This paper presents a model-free prescribed performance design methodology for the robust fault-tolerant tracking (RFTT) of uncertain switched pure-feedback nonlinear systems under arbitrary switching. Unexpected faults in switched non-affine nonlinearities and in an actuator are considered. Using the prescribed performance design and the common Lyapunov function method, a common RFTT scheme is proposed to ensure that the tracking error remains within preassigned performance bounds and finally converges to a preselected neighbourhood of the origin, regardless of arbitrary switching and unexpected faults. Contrary to existing results in the literature, the proposed methodology does not require fault compensation mechanisms such as adaptive techniques and function approximators using neural networks or fuzzy systems. Thus, the structure of the proposed RFTT scheme is simpler than that of the existing control schemes. Moreover, the proposed approach can predesign the transient performance bounds at the instants when switching and faults occur. Finally, the simulation results are provided to demonstrate the effectiveness of the proposed theoretical approach. Journal: International Journal of Systems Science Pages: 578-586 Issue: 3 Volume: 48 Year: 2017 Month: 2 X-DOI: 10.1080/00207721.2016.1193259 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1193259 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:3:p:578-586 Template-Type: ReDIF-Article 1.0 Author-Name: Gang Wang Author-X-Name-First: Gang Author-X-Name-Last: Wang Author-Name: Chaoli Wang Author-X-Name-First: Chaoli Author-X-Name-Last: Wang Author-Name: Yan Yan Author-X-Name-First: Yan Author-X-Name-Last: Yan Author-Name: Lin Li Author-X-Name-First: Lin Author-X-Name-Last: Li Author-Name: Xuan Cai Author-X-Name-First: Xuan Author-X-Name-Last: Cai Title: Distributed adaptive output feedback tracking control for a class of uncertain nonlinear multi-agent systems Abstract: This paper addresses the distributed output feedback tracking control problem for multi-agent systems with higher order nonlinear non-strict-feedback dynamics and directed communication graphs. The existing works usually design a distributed consensus controller using all the states of each agent, which are often immeasurable, especially in nonlinear systems. In this paper, based only on the relative output between itself and its neighbours, a distributed adaptive consensus control law is proposed for each agent using the backstepping technique and approximation technique of Fourier series (FS) to solve the output feedback tracking control problem of multi-agent systems. The FS structure is taken not only for tracking the unknown nonlinear dynamics but also the unknown derivatives of virtual controllers in the controller design procedure, which can therefore prevent virtual controllers from containing uncertain terms. The projection algorithm is applied to ensure that the estimated parameters remain in some known bounded sets. Lyapunov stability analysis shows that the proposed control law can guarantee that the output of each agent synchronises to the leader with bounded residual errors and that all the signals in the closed-loop system are uniformly ultimately bounded. Simulation results have verified the performance and feasibility of the proposed distributed adaptive control strategy. Journal: International Journal of Systems Science Pages: 587-603 Issue: 3 Volume: 48 Year: 2017 Month: 2 X-DOI: 10.1080/00207721.2016.1193261 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1193261 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:3:p:587-603 Template-Type: ReDIF-Article 1.0 Author-Name: Randa Herzallah Author-X-Name-First: Randa Author-X-Name-Last: Herzallah Author-Name: Miroslav Kárný Author-X-Name-First: Miroslav Author-X-Name-Last: Kárný Title: Towards probabilistic synchronisation of local controllers Abstract: The traditional use of global and centralised control methods fails for large, complex, noisy and highly connected systems, which typify many real-world industrial and commercial systems. This paper provides an efficient bottom-up design of distributed control in which many simple components communicate and cooperate to achieve a joint system goal. Each component acts individually so as to maximise personal utility whilst obtaining probabilistic information on the global system merely through local message-passing. This leads to an implied scalable and collective control strategy for complex dynamical systems, without the problems of global centralised control. Robustness is addressed by employing a fully probabilistic design, which can cope with inherent uncertainties, can be implemented adaptively and opens a systematic rich way to information sharing. This paper opens the foreseen direction and inspects the proposed design on a linearised version of coupled map lattice with spatio-temporal chaos. A version close to linear quadratic design gives an initial insight into possible behaviours of such networks. Journal: International Journal of Systems Science Pages: 604-615 Issue: 3 Volume: 48 Year: 2017 Month: 2 X-DOI: 10.1080/00207721.2016.1197979 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1197979 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:3:p:604-615 Template-Type: ReDIF-Article 1.0 Author-Name: X. Zhang Author-X-Name-First: X. Author-X-Name-Last: Zhang Author-Name: X. L. Huang Author-X-Name-First: X. L. Author-X-Name-Last: Huang Author-Name: H. Q. Lu Author-X-Name-First: H. Q. Author-X-Name-Last: Lu Title: Quasi-finite-time control for high-order nonlinear systems with mismatched disturbances via mapping filtered forwarding technique Abstract: In this study, a quasi-finite-time control method for designing stabilising control laws is developed for high-order strict-feedback nonlinear systems with mismatched disturbances. By using mapping filtered forwarding technique, a virtual control is designed to force the off-the-manifold coordinate to converge to zero in quasi-finite time at each step of the design; at the same time, the manifold is rendered insensitive to time-varying, bounded and unknown disturbances. In terms of standard forwarding methodology, the algorithm proposed here not only does not require the Lyapunov function for controller design, but also avoids to calculate the derivative of sign function. As far as the dynamic performance of closed-loop systems is concerned, we essentially obtain the finite-time performances, which is typically reflected in the following aspects: fast and accurate responses, high tracking precision, and robust disturbance rejection. Spring, mass, and damper system and flexible joints robot are tested to demonstrate the proposed controller performance. Journal: International Journal of Systems Science Pages: 616-628 Issue: 3 Volume: 48 Year: 2017 Month: 2 X-DOI: 10.1080/00207721.2016.1197980 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1197980 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:3:p:616-628 Template-Type: ReDIF-Article 1.0 Author-Name: Lin Chen Author-X-Name-First: Lin Author-X-Name-Last: Chen Author-Name: Jin Peng Author-X-Name-First: Jin Author-X-Name-Last: Peng Author-Name: Bo Zhang Author-X-Name-First: Bo Author-X-Name-Last: Zhang Author-Name: Isnaini Rosyida Author-X-Name-First: Isnaini Author-X-Name-Last: Rosyida Title: Diversified models for portfolio selection based on uncertain semivariance Abstract: Since the financial markets are complex, sometimes the future security returns are represented mainly based on experts’ estimations due to lack of historical data. This paper proposes a semivariance method for diversified portfolio selection, in which the security returns are given subjective to experts’ estimations and depicted as uncertain variables. In the paper, three properties of the semivariance of uncertain variables are verified. Based on the concept of semivariance of uncertain variables, two types of mean-semivariance diversified models for uncertain portfolio selection are proposed. Since the models are complex, a hybrid intelligent algorithm which is based on 99-method and genetic algorithm is designed to solve the models. In this hybrid intelligent algorithm, 99-method is applied to compute the expected value and semivariance of uncertain variables, and genetic algorithm is employed to seek the best allocation plan for portfolio selection. At last, several numerical examples are presented to illustrate the modelling idea and the effectiveness of the algorithm. Journal: International Journal of Systems Science Pages: 637-648 Issue: 3 Volume: 48 Year: 2017 Month: 2 X-DOI: 10.1080/00207721.2016.1206985 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1206985 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:3:p:637-648 Template-Type: ReDIF-Article 1.0 Author-Name: Yazdan Bavafa-Toosi Author-X-Name-First: Yazdan Author-X-Name-Last: Bavafa-Toosi Title: On the theory of flexible neural networks – Part I: a survey paper Abstract: Although flexible neural networks (FNNs) have been used more successfully than classical neural networks (CNNs) in many industrial applications, nothing is rigorously known about their properties. In fact they are not even well known to the systems and control community. In the first part of this paper, existing structures of and results on FNNs are surveyed. In the second part FNNs are examined in a theoretical framework. As a result, theoretical evidence is given for the superiority of FNNs over CNNs and further properties of the former are developed. More precisely, several fundamental properties of feedforward and recurrent FNNs are established. This includes the universal approximation capability, minimality, controllability, observability, and identifiability. In the broad sense, the results of this paper help that general use of FNNs in systems and control theory and applications be based on firm theoretical foundations. Theoretical analysis and synthesis of FNN-based systems thus become possible. The paper is concluded by a collection of topics for future work. Journal: International Journal of Systems Science Pages: 649-658 Issue: 3 Volume: 48 Year: 2017 Month: 2 X-DOI: 10.1080/00207721.2016.1206989 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1206989 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:3:p:649-658 Template-Type: ReDIF-Article 1.0 Author-Name: Jichao Li Author-X-Name-First: Jichao Author-X-Name-Last: Li Author-Name: Yuejin Tan Author-X-Name-First: Yuejin Author-X-Name-Last: Tan Author-Name: Kewei Yang Author-X-Name-First: Kewei Author-X-Name-Last: Yang Author-Name: Xiaoke Zhang Author-X-Name-First: Xiaoke Author-X-Name-Last: Zhang Author-Name: Bingfeng Ge Author-X-Name-First: Bingfeng Author-X-Name-Last: Ge Title: Structural robustness of combat networks of weapon system-of-systems based on the operation loop Abstract: The structural robustness of the combat network of weapon system-of-systems (CNWSOS) has been widely used to characterise its operation ability and survivability in the integrated joint operations. In this paper, after introducing the concept of the operation loop, a directed CNWSOS network model is first put forward. Then, the directed natural connectivity, a new measure of the CNWSOS robustness that extends the concept of natural connectivity to the directed combat networks, is proposed to provide both a definite physical meaning and a simple mathematical formulation. Last, the feasibility and effectiveness of the proposed structural robustness measure are demonstrated using both numerical experiments and an empirical case study. The directed natural connectivity facilitates a more sensitive and precise quantitative analysis of the structural robustness, which in turn provides useful insights for designing a more robust CNWSOS, including improving the accuracy of intelligence acquisition, enhancing the communication capabilities of weapon systems, and strengthening the capability of precision strikes. Journal: International Journal of Systems Science Pages: 659-674 Issue: 3 Volume: 48 Year: 2017 Month: 2 X-DOI: 10.1080/00207721.2016.1212429 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1212429 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:3:p:659-674 Template-Type: ReDIF-Article 1.0 Author-Name: Xi Ma Author-X-Name-First: Xi Author-X-Name-Last: Ma Author-Name: Fuchun Sun Author-X-Name-First: Fuchun Author-X-Name-Last: Sun Author-Name: Hongbo Li Author-X-Name-First: Hongbo Author-X-Name-Last: Li Author-Name: Bin He Author-X-Name-First: Bin Author-X-Name-Last: He Title: The consensus region design and analysis of fractional-order multi-agent systems Abstract: The consensus problem of fractional-order multi-agent systems is studied in this paper. To achieve consensus, a fractional-order observer-type consensus protocol based on relative output measurements is proposed and its stability is also certified theoretically. The notion of consensus region for fractional-order dynamic is introduced and analysed. A multistep consensus protocol design procedure is presented for given consensus region. Several numerical simulations are given to demonstrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 629-636 Issue: 3 Volume: 48 Year: 2017 Month: 2 X-DOI: 10.1080/00207721.2016.1218570 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1218570 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:3:p:629-636 Template-Type: ReDIF-Article 1.0 Author-Name: Shenquan Wang Author-X-Name-First: Shenquan Author-X-Name-Last: Wang Author-Name: Jian Feng Author-X-Name-First: Jian Author-X-Name-Last: Feng Author-Name: Yulian Jiang Author-X-Name-First: Yulian Author-X-Name-Last: Jiang Title: Input–output method to fault detection for discrete-time fuzzy networked systems with time-varying delay and multiple packet losses Abstract: The fault detection (FD) problem for discrete-time fuzzy networked systems with time-varying delay and multiple packet losses is investigated in this paper. The communication links between the plant and the FD filter (FDF) are assumed to be imperfect, and the missing probability is governed by an individual random variable satisfying a certain probabilistic distribution over the interval [0 1]. The discrete-time delayed fuzzy networked system is first transformed into the form of interconnect ion of two subsystems by applying an input–output method and a two-term approximation approach, which are employed to approximate the time-varying delay. Our attention is focused on the design of fuzzy FDF (FFDF) such that, for all data missing conditions, the overall FD dynamics are input–output stable in mean square and preserves a guaranteed performance. Sufficient conditions are first established via H∞ performance analysis for the existence of the desired FFDF; meanwhile, the corresponding solvability conditions for the desired FFDF gains are characterised in terms of the feasibility of a convex optimisation problem. Moreover, we show that the obtained criteria based on the input–output approach can also be established by applying the direct Lyapunov method to the original time-delay systems. Finally, simulation examples are provided to demonstrate the effectiveness of the proposed approaches. Journal: International Journal of Systems Science Pages: 1495-1513 Issue: 7 Volume: 47 Year: 2016 Month: 5 X-DOI: 10.1080/00207721.2014.938785 File-URL: http://hdl.handle.net/10.1080/00207721.2014.938785 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:7:p:1495-1513 Template-Type: ReDIF-Article 1.0 Author-Name: Guangming Zhuang Author-X-Name-First: Guangming Author-X-Name-Last: Zhuang Author-Name: Yongmin Li Author-X-Name-First: Yongmin Author-X-Name-Last: Li Author-Name: Ze Li Author-X-Name-First: Ze Author-X-Name-Last: Li Title: Fault detection for a class of uncertain nonlinear Markovian jump stochastic systems with mode-dependent time delays and sensor saturation Abstract: This paper considers the problem of robust H∞ fault detection for a class of uncertain nonlinear Markovian jump stochastic systems with mode-dependent time delays and sensor saturation. We aim to design a linear mode-dependent H∞ fault detection filter that ensures, the fault detection system is not only stochastically asymptotically stable in the large, but also satisfies a prescribed H∞-norm level for all admissible uncertainties. By using the Lyapunov stability theory and generalised Itô formula, some novel delay-dependent sufficient conditions in terms of linear matrix inequality are proposed to guarantee the existence of the desired fault detection filter. Explicit expression of the desired mode-dependent linear filter parameters is characterised by matrix decomposition, congruence transformation and convex optimisation technique. Sector condition method is utilised to deal with sensor saturation, a definite relation of sector condition parameters with fault detection system robustness against disturbances and sensitivity to faults is put forward, and weighting fault signal approach is employed to improve the performance of the fault detection system. A simulation example and an industrial nonisothermal continuous stirred tank reactor system are utilised to verify the effectiveness and usefulness of the proposed method. Journal: International Journal of Systems Science Pages: 1514-1532 Issue: 7 Volume: 47 Year: 2016 Month: 5 X-DOI: 10.1080/00207721.2014.938786 File-URL: http://hdl.handle.net/10.1080/00207721.2014.938786 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:7:p:1514-1532 Template-Type: ReDIF-Article 1.0 Author-Name: GuanJun Liu Author-X-Name-First: GuanJun Author-X-Name-Last: Liu Author-Name: LiJing Chen Author-X-Name-First: LiJing Author-X-Name-Last: Chen Title: Deciding the liveness for a subclass of weighted Petri nets based on structurally circular wait Abstract: Weighted Petri nets as a kind of formal language are widely used to model and verify discrete event systems related to resource allocation like flexible manufacturing systems. System of Simple Sequential Processes with Multi-Resources (S3PMR, a subclass of weighted Petri nets and an important extension to the well-known System of Simple Sequential Processes with Resources, can model many discrete event systems in which (1) multiple processes may run in parallel and (2) each execution step of each process may use multiple units from multiple resource types. This paper gives a necessary and sufficient condition for the liveness of S3PMR. A new structural concept called Structurally Circular Wait (SCW) is proposed for S3PMR. Blocking Marking (BM) associated with an SCW is defined. It is proven that a marked S3PMR is live if and only if each SCW has no BM. We use an example of multi-processor system-on-chip to show that SCW and BM can precisely characterise the (partial) deadlocks for S3PMR. Simultaneously, two examples are used to show the advantages of SCW in preventing deadlocks of S3PMR. These results are significant for the further research on dealing with the deadlock problem. Journal: International Journal of Systems Science Pages: 1533-1542 Issue: 7 Volume: 47 Year: 2016 Month: 5 X-DOI: 10.1080/00207721.2014.938788 File-URL: http://hdl.handle.net/10.1080/00207721.2014.938788 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:7:p:1533-1542 Template-Type: ReDIF-Article 1.0 Author-Name: A. Zavala-Río Author-X-Name-First: A. Author-X-Name-Last: Zavala-Río Author-Name: I. Fantoni Author-X-Name-First: I. Author-X-Name-Last: Fantoni Author-Name: G. Sanahuja Author-X-Name-First: G. Author-X-Name-Last: Sanahuja Title: Finite-time observer-based output-feedback control for the global stabilisation of the PVTOL aircraft with bounded inputs Abstract: In this work, an output-feedback scheme for the global stabilisation of the planar vertical take-off and landing aircraft with bounded inputs is developed taking into account the positive nature of the thrust. The global stabilisation objective is proven to be achieved avoiding input saturation and by exclusively considering the system positions in the feedback. To cope with the lack of velocity measurements, the proposed algorithm involves a finite-time observer. The generalised versions of the involved finite-time stabilisers have not only permitted to solve the output-feedback stabilisation problem avoiding input saturation, but also provide additional flexibility in the control design that may be used in aid of performance improvements. With respect to previous approaches, the developed finite-time observer-based scheme guarantees the global stabilisation objective disregarding velocity measurements in a bounded input context. Simulation tests corroborate the analytical developments. The study includes further experimental results on an actual flying device. Journal: International Journal of Systems Science Pages: 1543-1562 Issue: 7 Volume: 47 Year: 2016 Month: 5 X-DOI: 10.1080/00207721.2014.938906 File-URL: http://hdl.handle.net/10.1080/00207721.2014.938906 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:7:p:1543-1562 Template-Type: ReDIF-Article 1.0 Author-Name: Jilie Zhang Author-X-Name-First: Jilie Author-X-Name-Last: Zhang Author-Name: Huaguang Zhang Author-X-Name-First: Huaguang Author-X-Name-Last: Zhang Author-Name: Binrui Wang Author-X-Name-First: Binrui Author-X-Name-Last: Wang Author-Name: Tiaoyang Cai Author-X-Name-First: Tiaoyang Author-X-Name-Last: Cai Title: Nearly data-based optimal control for linear discrete model-free systems with delays via reinforcement learning Abstract: In this paper, a nearly data-based optimal control scheme is proposed for linear discrete model-free systems with delays. The nearly optimal control can be obtained using only measured input/output data from systems, by reinforcement learning technology, which combines Q-learning with value iterative algorithm. First, we construct a state estimator by using the measured input/output data. Second, the quadratic functional is used to approximate the value function at each point in the state space, and the data-based control is designed by Q-learning method using the obtained state estimator. Then, the paper states the method, that is, how to solve the optimal inner kernel matrix P‾$\bar{P}$ in the least-square sense, by value iteration algorithm. Finally, the numerical examples are given to illustrate the effectiveness of our approach. Journal: International Journal of Systems Science Pages: 1563-1573 Issue: 7 Volume: 47 Year: 2016 Month: 5 X-DOI: 10.1080/00207721.2014.941147 File-URL: http://hdl.handle.net/10.1080/00207721.2014.941147 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:7:p:1563-1573 Template-Type: ReDIF-Article 1.0 Author-Name: Alper Bayrak Author-X-Name-First: Alper Author-X-Name-Last: Bayrak Author-Name: Enver Tatlicioglu Author-X-Name-First: Enver Author-X-Name-Last: Tatlicioglu Title: A novel online adaptive time delay identification technique Abstract: Time delay is a phenomenon which is common in signal processing, communication, control applications, etc. The special feature of time delay that makes it attractive is that it is a commonly faced problem in many systems. A literature search on time-delay identification highlights the fact that most studies focused on numerical solutions. In this study, a novel online adaptive time-delay identification technique is proposed. This technique is based on an adaptive update law through a minimum–maximum strategy which is firstly applied to time-delay identification. In the design of the adaptive identification law, Lyapunov-based stability analysis techniques are utilised. Several numerical simulations were conducted with Matlab/Simulink to evaluate the performance of the proposed technique. It is numerically demonstrated that the proposed technique works efficiently in identifying both constant and disturbed time delays, and is also robust to measurement noise. Journal: International Journal of Systems Science Pages: 1574-1585 Issue: 7 Volume: 47 Year: 2016 Month: 5 X-DOI: 10.1080/00207721.2014.941958 File-URL: http://hdl.handle.net/10.1080/00207721.2014.941958 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:7:p:1574-1585 Template-Type: ReDIF-Article 1.0 Author-Name: Ladan Khoshnevisan Author-X-Name-First: Ladan Author-X-Name-Last: Khoshnevisan Author-Name: Farzad R. Salmasi Author-X-Name-First: Farzad R. Author-X-Name-Last: Salmasi Title: A robust and high-performance queue management controller for large round trip time networks Abstract: Congestion management for transmission control protocol is of utmost importance to prevent packet loss within a network. This necessitates strategies for active queue management. The most applied active queue management strategies have their inherent disadvantages which lead to suboptimal performance and even instability in the case of large round trip time and/or external disturbance. This paper presents an internal model control robust queue management scheme with two degrees of freedom in order to restrict the undesired effects of large and small round trip time and parameter variations in the queue management. Conventional approaches such as proportional integral and random early detection procedures lead to unstable behaviour due to large delay. Moreover, internal model control–Smith scheme suffers from large oscillations due to the large round trip time. On the other hand, other schemes such as internal model control–proportional integral and derivative show excessive sluggish performance for small round trip time values. To overcome these shortcomings, we introduce a system entailing two individual controllers for queue management and disturbance rejection, simultaneously. Simulation results based on Matlab/Simulink and also Network Simulator 2 (NS2) demonstrate the effectiveness of the procedure and verify the analytical approach. Journal: International Journal of Systems Science Pages: 1586-1597 Issue: 7 Volume: 47 Year: 2016 Month: 5 X-DOI: 10.1080/00207721.2014.941959 File-URL: http://hdl.handle.net/10.1080/00207721.2014.941959 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:7:p:1586-1597 Template-Type: ReDIF-Article 1.0 Author-Name: N. Noroozi Author-X-Name-First: N. Author-X-Name-Last: Noroozi Author-Name: A. Khayatian Author-X-Name-First: A. Author-X-Name-Last: Khayatian Author-Name: S. Ahmadizadeh Author-X-Name-First: S. Author-X-Name-Last: Ahmadizadeh Author-Name: H.R. Karimi Author-X-Name-First: H.R. Author-X-Name-Last: Karimi Title: On integral input-to-state stability for a feedback interconnection of parameterised discrete-time systems Abstract: This paper addresses integral input-to-state stability (iISS) for a feedback interconnection of parameterised discrete-time systems involving two subsystems. Particularly, we give a construction for a smooth iISS Lyapunov function for the whole system from the sum of nonlinearly weighted Lyapunov functions of individual subsystems. Motivations for such a construction are given. We consider two main cases. The first one investigates iISS for the whole system when both subsystems are iISS. The second one gives iISS for the interconnected system when one of subsystems is allowed to be input-to-state stable. The approach is also valid for both discrete-time cascades and a feedback interconnection of iISS and static systems. Examples are given to illustrate the effectiveness of the results. Journal: International Journal of Systems Science Pages: 1598-1614 Issue: 7 Volume: 47 Year: 2016 Month: 5 X-DOI: 10.1080/00207721.2014.942242 File-URL: http://hdl.handle.net/10.1080/00207721.2014.942242 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:7:p:1598-1614 Template-Type: ReDIF-Article 1.0 Author-Name: Kuo-Ren Lou Author-X-Name-First: Kuo-Ren Author-X-Name-Last: Lou Author-Name: Lu Wang Author-X-Name-First: Lu Author-X-Name-Last: Wang Title: Nash and integrated solutions in a just-in-time seller–buyer supply chain with buyer's ordering cost reductions Abstract: The seller frequently offers the buyer trade credit to settle the purchase amount. From the seller's prospective, granting trade credit increases not only the opportunity cost (i.e., the interest loss on the buyer's purchase amount during the credit period) but also the default risk (i.e., the rate that the buyer will be unable to pay off his/her debt obligations). On the other hand, granting trade credit increases sales volume and revenue. Consequently, trade credit is an important strategy to increase seller's profitability. In this paper, we assume that the seller uses trade credit and number of shipments in a production run as decision variables to maximise his/her profit, while the buyer determines his/her replenishment cycle time and capital investment as decision variables to reduce his/her ordering cost and achieve his/her maximum profit. We then derive non-cooperative Nash solution and cooperative integrated solution in a just-in-time inventory system, in which granting trade credit increases not only the demand but also the opportunity cost and default risk, and the relationship between the capital investment and the ordering cost reduction is logarithmic. Then, we use a software to solve and compare these two distinct solutions. Finally, we use sensitivity analysis to obtain some managerial insights. Journal: International Journal of Systems Science Pages: 1615-1623 Issue: 7 Volume: 47 Year: 2016 Month: 5 X-DOI: 10.1080/00207721.2014.942243 File-URL: http://hdl.handle.net/10.1080/00207721.2014.942243 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:7:p:1615-1623 Template-Type: ReDIF-Article 1.0 Author-Name: Wei Zhang Author-X-Name-First: Wei Author-X-Name-Last: Zhang Author-Name: Chunhui Zhao Author-X-Name-First: Chunhui Author-X-Name-Last: Zhao Author-Name: Xing He Author-X-Name-First: Xing Author-X-Name-Last: He Author-Name: Weidong Zhang Author-X-Name-First: Weidong Author-X-Name-Last: Zhang Title: An extended inner–outer factorisation algorithm based on the structure of a transfer function matrix inverse Abstract: In this paper, the structure feature of the inverse of a multi-input/multi-output square transfer function matrix is explored. Instead of complicated advanced mathematical tools, we only use basic results of complex analysis in the analysing procedure. By employing the Laurent expression, an elegant structure form of the expansion is obtained for the transfer function matrix inverse. This expansion form is the key of deriving an analytical solution to the inner–outer factorisation for both stable plants and unstable plants. Different from other computation algorithm, the obtained inner–outer factorisation is given in an analytical form. The solution is exact and without approximation. Numerical examples are provided to verify the correctness of the obtained results. Journal: International Journal of Systems Science Pages: 1624-1635 Issue: 7 Volume: 47 Year: 2016 Month: 5 X-DOI: 10.1080/00207721.2014.942244 File-URL: http://hdl.handle.net/10.1080/00207721.2014.942244 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:7:p:1624-1635 Template-Type: ReDIF-Article 1.0 Author-Name: Ranran Li Author-X-Name-First: Ranran Author-X-Name-Last: Li Title: Global output regulation of a class of lower triangular nonlinear systems with unknown control direction via output feedback Abstract: In this paper, we study the global output regulation problem of a class of lower triangular systems under measurement output feedback. A novel high-gain filter is proposed to estimate the unmeasured states of the systems. Furthermore, we integrate the robust stabilisation technique and Nussbaumgain technique to achieve asymptotic regulation when the control direction is unknown. The simulation results illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1636-1643 Issue: 7 Volume: 47 Year: 2016 Month: 5 X-DOI: 10.1080/00207721.2014.942247 File-URL: http://hdl.handle.net/10.1080/00207721.2014.942247 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:7:p:1636-1643 Template-Type: ReDIF-Article 1.0 Author-Name: Zhaobo Chen Author-X-Name-First: Zhaobo Author-X-Name-Last: Chen Author-Name: Chunxian Teng Author-X-Name-First: Chunxian Author-X-Name-Last: Teng Author-Name: Ding Zhang Author-X-Name-First: Ding Author-X-Name-Last: Zhang Author-Name: Jiayi Sun Author-X-Name-First: Jiayi Author-X-Name-Last: Sun Title: Modelling inter-supply chain competition with resource limitation and demand disruption Abstract: This paper proposes a comprehensive model for studying supply chain versus supply chain competition with resource limitation and demand disruption. We assume that there are supply chains with heterogeneous supply network structures that compete at multiple demand markets. Each supply chain is comprised of internal and external firms. The internal firms are coordinated in production and distribution and share some common but limited resources within the supply chain, whereas the external firms are independent and do not share the internal resources. The supply chain managers strive to develop optimal strategies in terms of production level and resource allocation in maximising their profit while facing competition at the end market. The Cournot–Nash equilibrium of this inter-supply chain competition is formulated as a variational inequality problem. We further study the case when there is demand disruption in the plan-execution phase. In such a case, the managers need to revise their planned strategy in order to maximise their profit with the new demand under disruption and minimise the cost of change. We present a bi-criteria decision-making model for supply chain managers and develop the optimal conditions in equilibrium, which again can be formulated by another variational inequality problem. Numerical examples are presented for illustrative purpose. Journal: International Journal of Systems Science Pages: 1644-1658 Issue: 7 Volume: 47 Year: 2016 Month: 5 X-DOI: 10.1080/00207721.2014.942499 File-URL: http://hdl.handle.net/10.1080/00207721.2014.942499 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:7:p:1644-1658 Template-Type: ReDIF-Article 1.0 Author-Name: Zahra Gharaee Author-X-Name-First: Zahra Author-X-Name-Last: Gharaee Author-Name: Alireza Fatehi Author-X-Name-First: Alireza Author-X-Name-Last: Fatehi Author-Name: Maryam S. Mirian Author-X-Name-First: Maryam S. Author-X-Name-Last: Mirian Author-Name: Majid Nili Ahmadabadi Author-X-Name-First: Majid Nili Author-X-Name-Last: Ahmadabadi Title: Attention control learning in the decision space using state estimation Abstract: The main goal of this paper is modelling attention while using it in efficient path planning of mobile robots. The key challenge in concurrently aiming these two goals is how to make an optimal, or near-optimal, decision in spite of time and processing power limitations, which inherently exist in a typical multi-sensor real-world robotic application. To efficiently recognise the environment under these two limitations, attention of an intelligent agent is controlled by employing the reinforcement learning framework. We propose an estimation method using estimated mixture-of-experts task and attention learning in perceptual space. An agent learns how to employ its sensory resources, and when to stop observing, by estimating its perceptual space. In this paper, static estimation of the state space in a learning task problem, which is examined in the WebotsTM simulator, is performed. Simulation results show that a robot learns how to achieve an optimal policy with a controlled cost by estimating the state space instead of continually updating sensory information. Journal: International Journal of Systems Science Pages: 1659-1674 Issue: 7 Volume: 47 Year: 2016 Month: 5 X-DOI: 10.1080/00207721.2014.945982 File-URL: http://hdl.handle.net/10.1080/00207721.2014.945982 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:7:p:1659-1674 Template-Type: ReDIF-Article 1.0 Author-Name: A. Jamali Author-X-Name-First: A. Author-X-Name-Last: Jamali Author-Name: E. Khaleghi Author-X-Name-First: E. Author-X-Name-Last: Khaleghi Author-Name: I. Gholaminezhad Author-X-Name-First: I. Author-X-Name-Last: Gholaminezhad Author-Name: N. Nariman-zadeh Author-X-Name-First: N. Author-X-Name-Last: Nariman-zadeh Title: Modelling and prediction of complex non-linear processes by using Pareto multi-objective genetic programming Abstract: In this paper, a new multi-objective genetic programming (GP) with a diversity preserving mechanism and a real number alteration operator is presented and successfully used for Pareto optimal modelling of some complex non-linear systems using some input–output data. In this study, two different input–output data-sets of a non-linear mathematical model and of an explosive cutting process are considered separately in three-objective optimisation processes. The pertinent conflicting objective functions that have been considered for such Pareto optimisations are namely, training error (TE), prediction error (PE), and the length of tree (complexity of the network) (TL) of the GP models. Such three-objective optimisation implementations leads to some non-dominated choices of GP-type models for both cases representing the trade-offs among those objective functions. Therefore, optimal Pareto fronts of such GP models exhibit the trade-off among the corresponding conflicting objectives and, thus, provide different non-dominated optimal choices of GP-type models. Moreover, the results show that no significant optimality in TE and PE may occur when the TL of the corresponding GP model exceeds some values. Journal: International Journal of Systems Science Pages: 1675-1688 Issue: 7 Volume: 47 Year: 2016 Month: 5 X-DOI: 10.1080/00207721.2014.945983 File-URL: http://hdl.handle.net/10.1080/00207721.2014.945983 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:7:p:1675-1688 Template-Type: ReDIF-Article 1.0 Author-Name: Mou Chen Author-X-Name-First: Mou Author-X-Name-Last: Chen Author-Name: Bin Jiang Author-X-Name-First: Bin Author-X-Name-Last: Jiang Author-Name: William W. Guo Author-X-Name-First: William W. Author-X-Name-Last: Guo Title: Fault-tolerant control for a class of non-linear systems with dead-zone Abstract: In this paper, a fault-tolerant control scheme is proposed for a class of single-input and single-output non-linear systems with the unknown time-varying system fault and the dead-zone. The non-linear state observer is designed for the non-linear system using differential mean value theorem, and the non-linear fault estimator that estimates the unknown time-varying system fault is developed. On the basis of the designed fault estimator, the observer-based fault-tolerant tracking control is then developed using the backstepping technique for non-linear systems with the dead-zone. The stability of the whole closed-loop system is rigorously proved via Lyapunov analysis and the satisfactory tracking control performance is guaranteed in the presence of the unknown time-varying system fault and the dead-zone. Numerical simulation results are presented to illustrate the effectiveness of the proposed backstepping fault-tolerant control scheme for non-linear systems. Journal: International Journal of Systems Science Pages: 1689-1699 Issue: 7 Volume: 47 Year: 2016 Month: 5 X-DOI: 10.1080/00207721.2014.945984 File-URL: http://hdl.handle.net/10.1080/00207721.2014.945984 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:7:p:1689-1699 Template-Type: ReDIF-Article 1.0 Author-Name: A.G. Wu Author-X-Name-First: A.G. Author-X-Name-Last: Wu Author-Name: S. Chen Author-X-Name-First: S. Author-X-Name-Last: Chen Author-Name: D.L. Jia Author-X-Name-First: D.L. Author-X-Name-Last: Jia Title: Bias-compensation-based least-squares estimation with a forgetting factor for output error models with white noise Abstract: In this paper, the bias-compensation-based recursive least-squares (LS) estimation algorithm with a forgetting factor is proposed for output error models. First, for the unknown white noise, the so-called weighted average variance is introduced. With this weighted average variance, a bias-compensation term is first formulated to achieve the bias-eliminated estimates of the system parameters. Then, the weighted average variance is estimated. Finally, the final estimation algorithm is obtained by combining the estimation of the weighted average variance and the recursive LS estimation algorithm with a forgetting factor. The effectiveness of the proposed identification algorithm is verified by a numerical example. Journal: International Journal of Systems Science Pages: 1700-1709 Issue: 7 Volume: 47 Year: 2016 Month: 5 X-DOI: 10.1080/00207721.2014.948945 File-URL: http://hdl.handle.net/10.1080/00207721.2014.948945 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:7:p:1700-1709 Template-Type: ReDIF-Article 1.0 Author-Name: Rosa M. Fernández-Cantí Author-X-Name-First: Rosa M. Author-X-Name-Last: Fernández-Cantí Author-Name: Joaquim Blesa Author-X-Name-First: Joaquim Author-X-Name-Last: Blesa Author-Name: Vicenç Puig Author-X-Name-First: Vicenç Author-X-Name-Last: Puig Author-Name: Sebastian Tornil-Sin Author-X-Name-First: Sebastian Author-X-Name-Last: Tornil-Sin Title: Set-membership identification and fault detection using a Bayesian framework Abstract: This paper deals with the problem of set-membership identification and fault detection using a Bayesian framework. The paper presents how the set-membership model estimation problem can be reformulated from the Bayesian viewpoint in order to, first, determine the feasible parameter set in the identification stage and, second, check the consistency between the measurement data and the model in the fault-detection stage. The paper shows that, assuming uniform distributed measurement noise and uniform model prior probability distributions, the Bayesian approach leads to the same feasible parameter set than the well-known set-membership technique based on approximating the feasible parameter set using sets. Additionally, it can deal with models that are nonlinear in the parameters. The single-output and multiple-output cases are addressed as well. The procedure and results are illustrated by means of the application to a quadruple-tank process. Journal: International Journal of Systems Science Pages: 1710-1724 Issue: 7 Volume: 47 Year: 2016 Month: 5 X-DOI: 10.1080/00207721.2014.948946 File-URL: http://hdl.handle.net/10.1080/00207721.2014.948946 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:7:p:1710-1724 Template-Type: ReDIF-Article 1.0 Author-Name: D. Ruiz-Fernández Author-X-Name-First: D. Author-X-Name-Last: Ruiz-Fernández Author-Name: Y. Quintana-Pacheco Author-X-Name-First: Y. Author-X-Name-Last: Quintana-Pacheco Title: Heuristic method for searches on large data-sets organised using network models Abstract: Searches on large data-sets have become an important issue in recent years. An alternative, which has achieved good results, is the use of methods relying on data mining techniques, such as cluster-based retrieval. This paper proposes a heuristic search that is based on an organisational model that reflects similarity relationships among data elements. The search is guided by using quality estimators of model nodes, which are obtained by the progressive evaluation of the given target function for the elements associated with each node. The results of the experiments confirm the effectiveness of the proposed algorithm. High-quality solutions are obtained evaluating a relatively small percentage of elements in the data-sets. Journal: International Journal of Systems Science Pages: 1725-1733 Issue: 7 Volume: 47 Year: 2016 Month: 5 X-DOI: 10.1080/00207721.2014.951420 File-URL: http://hdl.handle.net/10.1080/00207721.2014.951420 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:7:p:1725-1733 Template-Type: ReDIF-Article 1.0 Author-Name: Fan-Lin Meng Author-X-Name-First: Fan-Lin Author-X-Name-Last: Meng Author-Name: Jian-Xiang Xi Author-X-Name-First: Jian-Xiang Author-X-Name-Last: Xi Author-Name: Zong-Ying Shi Author-X-Name-First: Zong-Ying Author-X-Name-Last: Shi Author-Name: Yi-Sheng Zhong Author-X-Name-First: Yi-Sheng Author-X-Name-Last: Zhong Title: Admissible output consensus control for singular swarm systems Abstract: For swarm systems consisting of agents described by high-order linear singular systems, admissible output consensus problems are investigated. By using observability decomposition and eigenvalue decomposition techniques, a sufficient condition for admissible output consensus and a necessary and sufficient condition for admissible limited control energy output consensus are obtained. Furthermore, it is shown that stabilisability of the agents is a sufficient condition for admissible output consensualisability, and an approach to solve the protocol design problem is presented. Finally, a numerical example is provided to demonstrate the effectiveness of protocol design approach. Journal: International Journal of Systems Science Pages: 1734-1744 Issue: 7 Volume: 47 Year: 2016 Month: 5 X-DOI: 10.1080/00207721.2014.951422 File-URL: http://hdl.handle.net/10.1080/00207721.2014.951422 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:7:p:1734-1744 Template-Type: ReDIF-Article 1.0 Author-Name: Yumei Li Author-X-Name-First: Yumei Author-X-Name-Last: Li Author-Name: Xinping Guan Author-X-Name-First: Xinping Author-X-Name-Last: Guan Author-Name: Xiaoyuan Luo Author-X-Name-First: Xiaoyuan Author-X-Name-Last: Luo Title: Robust exponential stability criteria of uncertain stochastic systems with time-varying delays Abstract: This article investigates the problem of delay-dependent exponential stability in mean square for continuous-time linear stochastic systems with structured uncertainties and time-varying delays. By applying descriptor model transformation of the systems, a new type of Lyapunov–Krasovskii functional is constructed, and by introducing some free weighting matrices, some new delay-dependent and delay-independent stability criteria are derived respectively in terms of an LMI algorithm. The new stability criteria are less conservative than existing results. Numerical examples demonstrate that the new criteria are effective and are an improvement over existing results. Journal: International Journal of Systems Science Pages: 601-608 Issue: 4 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720802645212 File-URL: http://hdl.handle.net/10.1080/00207720802645212 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:4:p:601-608 Template-Type: ReDIF-Article 1.0 Author-Name: Huiling Xu Author-X-Name-First: Huiling Author-X-Name-Last: Xu Author-Name: Yun Zou Author-X-Name-First: Yun Author-X-Name-Last: Zou Title: control for 2-D singular delayed systems Abstract: This article considers the problem of H∞ control for two-dimensional (2-D) singular delayed systems in Roesser models. The problem to be addressed is the design of a state feedback controller such that the acceptability, internal stability and causality of the resulting closed-loop system is guaranteed and a prescribed H∞ performance level is ensured. In terms of a linear matrix inequality (LMI), a sufficient condition for the solvability of the problem is obtained. A desired state feedback controller can be designed by solving a certain LMI. A numerical example is provided to demonstrate the application of the proposed method. Journal: International Journal of Systems Science Pages: 609-619 Issue: 4 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720902974728 File-URL: http://hdl.handle.net/10.1080/00207720902974728 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:4:p:609-619 Template-Type: ReDIF-Article 1.0 Author-Name: Hebertt Sira-Ramírez Author-X-Name-First: Hebertt Author-X-Name-Last: Sira-Ramírez Author-Name: Vicente Feliu Batlle Author-X-Name-First: Vicente Feliu Author-X-Name-Last: Batlle Title: Robust Σ–Δ modulation-based sliding mode observers for linear systems subject to time polynomial inputs Abstract: In this article, we propose the use of Σ–Δ modulation-based sliding mode observers undergoing switched output injections as in remote state estimation cases. The class of switched observers, treated here, inherit their robustness with respect to un-modelled classical perturbation inputs of the polynomial type affecting the observed plant, from that of an average (non-discontinuous) observer design exhibiting dynamic output reconstruction error injections. These extended output injections consist of linear combinations of a sufficient number of iterated integrals of the output estimation error. In achieving the required robustness behaviour with respect to classical perturbations, a suitable and natural dualisation of Generalised Proportional Integral control is being used. The proposed observers are shown to be useful in collision detection schemes for flexible robotics. Journal: International Journal of Systems Science Pages: 621-631 Issue: 4 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903072241 File-URL: http://hdl.handle.net/10.1080/00207720903072241 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:4:p:621-631 Template-Type: ReDIF-Article 1.0 Author-Name: Bo Song Author-X-Name-First: Bo Author-X-Name-Last: Song Author-Name: Shengyuan Xu Author-X-Name-First: Shengyuan Author-X-Name-Last: Xu Author-Name: Jianwei Xia Author-X-Name-First: Jianwei Author-X-Name-Last: Xia Author-Name: Yun Zou Author-X-Name-First: Yun Author-X-Name-Last: Zou Author-Name: Qingwei Chen Author-X-Name-First: Qingwei Author-X-Name-Last: Chen Title: Design of robust filters for a class of uncertain nonlinear neutral stochastic systems with time delays Abstract: This article investigates the problem of robust H∞ filtering for a class of nonlinear neutral stochastic time-delay systems with norm-bounded parameter uncertainties. The nonlinearities are assumed to satisfy the global Lipschitz conditions. By solving a set of certain linear matrix inequalities, an H∞ filter is designed, which ensures both the robust stochastic stability and a prescribed H∞ performance of the filtering error system for all admissible uncertainties. A numerical example is given to show the effectiveness of the design method proposed in this article. Journal: International Journal of Systems Science Pages: 633-642 Issue: 4 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903072258 File-URL: http://hdl.handle.net/10.1080/00207720903072258 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:4:p:633-642 Template-Type: ReDIF-Article 1.0 Author-Name: Mingcong Deng Author-X-Name-First: Mingcong Author-X-Name-Last: Deng Author-Name: Changan Jiang Author-X-Name-First: Changan Author-X-Name-Last: Jiang Author-Name: Akira Inoue Author-X-Name-First: Akira Author-X-Name-Last: Inoue Author-Name: Chun-Yi Su Author-X-Name-First: Chun-Yi Author-X-Name-Last: Su Title: Operator-based robust control for nonlinear systems with Prandtl–Ishlinskii hysteresis Abstract: This article presents an operator-based robust control method for nonlinear systems with Prandtl–Ishlinskii (PI) hysteresis. On the existence of the hysteresis, the system usually exhibits undesirable oscillations and even instability. While addressing the hysteresis, PI model is adopted to describe it. Especially, the PI model is decomposed into two terms: an invertible part and a disturbance part. In this way, the invertible part could be considered as a part of the nonlinear system. Based on the concept of Lipschitz's operator and the robust right coprime factorisation condition, a robust control design scheme is given to guarantee the bounded input bounded output stability of the obtained system. Further, a tracking operator design method is given to ensure the control system output-tracking performance under the existence of the disturbance part. Numerical simulation results are presented to validate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 643-652 Issue: 4 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903151318 File-URL: http://hdl.handle.net/10.1080/00207720903151318 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:4:p:643-652 Template-Type: ReDIF-Article 1.0 Author-Name: Mario Lefebvre Author-X-Name-First: Mario Author-X-Name-Last: Lefebvre Title: Stochastic optimal control in a danger zone Abstract: Let X(t) be a one-dimensional controlled Wiener process, and let τ(x) be the first time X(t) takes on the value A, given that X(0) = x. The problem of finding the control that minimises the expected value of a cost function with quadratic control costs on the way and an instantaneous reward (or penalty) given for survival in the continuation region is solved explicitly in the case when A is a random variable. Journal: International Journal of Systems Science Pages: 653-659 Issue: 4 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903154775 File-URL: http://hdl.handle.net/10.1080/00207720903154775 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:4:p:653-659 Template-Type: ReDIF-Article 1.0 Author-Name: Lifeng Ma Author-X-Name-First: Lifeng Author-X-Name-Last: Ma Author-Name: Zidong Wang Author-X-Name-First: Zidong Author-X-Name-Last: Wang Author-Name: Yugang Niu Author-X-Name-First: Yugang Author-X-Name-Last: Niu Author-Name: Yumimg Bo Author-X-Name-First: Yumimg Author-X-Name-Last: Bo Author-Name: Zhi Guo Author-X-Name-First: Zhi Author-X-Name-Last: Guo Title: Sliding mode control for a class of nonlinear discrete-time networked systems with multiple stochastic communication delays Abstract: In this article, a sliding mode control problem is studied for a class of uncertain nonlinear networked systems with multiple communication delays. A sequence of stochastic variables obeying Bernoulli distribution is applied in the system model to describe the randomly occurring communication delays. The discrete-time system considered is also subject to parameter uncertainties and state-dependent stochastic disturbances. A novel discrete switching function is proposed to facilitate the sliding mode controller design. The sufficient conditions are derived by means of the linear matrix inequality (LMI) approach. It is shown that the system dynamics in the specified sliding surface is robustly exponentially stable in the mean square if two LMIs with an equality constraint are feasible. A discrete-time SMC controller is designed that is capable of guaranteeing the discrete-time sliding-mode reaching condition of the specified sliding surface. Finally, a simulation example is given to show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 661-672 Issue: 4 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903171787 File-URL: http://hdl.handle.net/10.1080/00207720903171787 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:4:p:661-672 Template-Type: ReDIF-Article 1.0 Author-Name: Petr Buryan Author-X-Name-First: Petr Author-X-Name-Last: Buryan Author-Name: Godfrey C. Onwubolu Author-X-Name-First: Godfrey C. Author-X-Name-Last: Onwubolu Title: Design of enhanced MIA-GMDH learning networks Abstract: The article presents an enhanced multilayered iterative algorithm-group method of data handling (MIA-GMDH)-type network, discusses a comprehensive design methodology and carries out some numerical experiments which encompass system prediction and modelling. The method presented in this article is an enhancement of self-organising polynomial GMDH with several specific improved features – coefficient rounding and thresholding schemes and semi-randomised selection approach to pruning. The experiments carried out include representative time series prediction (gas furnace process data) and process modelling (investigating the milligrams of vitamin B2 per gram of turnip greens and drilling cutting force modelling). The results in this article show promising potential of self-organising network methodology in the field of both prediction and modelling applications. Journal: International Journal of Systems Science Pages: 673-693 Issue: 4 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903225526 File-URL: http://hdl.handle.net/10.1080/00207720903225526 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:4:p:673-693 Template-Type: ReDIF-Article 1.0 Author-Name: Yali Dong Author-X-Name-First: Yali Author-X-Name-Last: Dong Author-Name: Yingjuan Yang Author-X-Name-First: Yingjuan Author-X-Name-Last: Yang Title: Observer design for a class of multi-input multi-output nonlinear systems Abstract: In this article, the problem of state observer design for a class of multi-input multi-output nonlinear systems is considered. Via state transformation and the constructive use of a Lyapunov function, the new observer design approach is addressed by introducing a parameter ϵ in the observer. Some sufficient conditions are given which guarantee the estimation error to asymptotically converge to zero under adaptive conditions. An example is included to illustrate the method. Journal: International Journal of Systems Science Pages: 695-703 Issue: 4 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903260143 File-URL: http://hdl.handle.net/10.1080/00207720903260143 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:4:p:695-703 Template-Type: ReDIF-Article 1.0 Author-Name: Zvi Artstein Author-X-Name-First: Zvi Author-X-Name-Last: Artstein Author-Name: Saša V. Raković Author-X-Name-First: Saša V. Author-X-Name-Last: Raković Title: Set invariance under output feedback: a set-dynamics approach Abstract: The article offers a framework to define and analyse the notion of invariance with respect to output feedback under non-parametric disturbances. The motivation is that the straightforward generalisation of the definition of invariance under state feedback to the output feedback framework, namely relying only on feedback from the output, does not yield a useful notion. Our model follows standard feedback invariance considerations with, however, a crucial modification that is needed when only an observation of the state, rather than the state itself, is available. The model incorporates information gathered by the controller during the process; this is in similarity with the observer-based dynamics model; however our framework represents the information within a set dynamics. The evolution of the resulting information sets determines invariant sets and attractors of the state dynamics. The framework in this article is discrete-time control systems. We offer an analysis of the notion with results on existence of, and convergence to, output feedback invariant sets; illustrative examples related to potentially practical feedback rules are exhibited. Journal: International Journal of Systems Science Pages: 539-555 Issue: 4 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903428880 File-URL: http://hdl.handle.net/10.1080/00207720903428880 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:4:p:539-555 Template-Type: ReDIF-Article 1.0 Author-Name: Ping Yang Author-X-Name-First: Ping Author-X-Name-Last: Yang Author-Name: Ji-Sheng Li Author-X-Name-First: Ji-Sheng Author-X-Name-Last: Li Author-Name: Yong-Xuan Huang Author-X-Name-First: Yong-Xuan Author-X-Name-Last: Huang Title: HDD: a hypercube division-based algorithm for discretisation Abstract: Discretisation, as one of the basic data preparation techniques, has played an important role in data mining. This article introduces a new hypercube division-based (HDD) algorithm for supervised discretisation. The algorithm considers the distribution of both class and continuous attributes and the underlying correlation structure in the data set. It tries to find a minimal set of cut points, which divides the continuous attribute space into a finite number of hypercubes, and the objects within each hypercube belong to the same decision class. Finally, tests are performed on seven mix-mode data sets, and the C5.0 algorithm is used to generate classification rules from the discretised data. Compared with the other three well-known discretisation algorithms, the HDD algorithm can generate a better discretisation scheme, which improves the accuracy of classification and reduces the number of classification rules. Journal: International Journal of Systems Science Pages: 557-566 Issue: 4 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903572455 File-URL: http://hdl.handle.net/10.1080/00207720903572455 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:4:p:557-566 Template-Type: ReDIF-Article 1.0 Author-Name: Hacene Habbi Author-X-Name-First: Hacene Author-X-Name-Last: Habbi Author-Name: Madjid Kidouche Author-X-Name-First: Madjid Author-X-Name-Last: Kidouche Author-Name: Michel Kinnaert Author-X-Name-First: Michel Author-X-Name-Last: Kinnaert Author-Name: Mimoun Zelmat Author-X-Name-First: Mimoun Author-X-Name-Last: Zelmat Title: Fuzzy model-based fault detection and diagnosis for a pilot heat exchanger Abstract: This article addresses the design and real-time implementation of a fuzzy model-based fault detection and diagnosis (FDD) system for a pilot co-current heat exchanger. The design method is based on a three-step procedure which involves the identification of data-driven fuzzy rule-based models, the design of a fuzzy residual generator and the evaluation of the residuals for fault diagnosis using statistical tests. The fuzzy FDD mechanism has been implemented and validated on the real co-current heat exchanger, and has been proven to be efficient in detecting and isolating process, sensor and actuator faults. Journal: International Journal of Systems Science Pages: 587-599 Issue: 4 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003653666 File-URL: http://hdl.handle.net/10.1080/00207721003653666 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:4:p:587-599 Template-Type: ReDIF-Article 1.0 Author-Name: F. Mohammadi Author-X-Name-First: F. Author-X-Name-Last: Mohammadi Author-Name: M.M. Hosseini Author-X-Name-First: M.M. Author-X-Name-Last: Hosseini Author-Name: Syed Tauseef Mohyud-Din Author-X-Name-First: Syed Tauseef Author-X-Name-Last: Mohyud-Din Title: Legendre wavelet Galerkin method for solving ordinary differential equations with non-analytic solution Abstract: In this article, the Legendre wavelet operational matrix of integration is used to solve boundary ordinary differential equations with non-analytic solution. Although the standard Galerkin method using Legendre polynomials does not work well for solving ordinary differential equations in which at least one of the coefficient functions or solution function is not analytic, it is shown that the Legendre wavelet Galerkin method is very efficient and suitable for solving this kind of problems. Several numerical examples are given to illustrate the efficiency and performance of the presented method. Journal: International Journal of Systems Science Pages: 579-585 Issue: 4 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003658194 File-URL: http://hdl.handle.net/10.1080/00207721003658194 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:4:p:579-585 Template-Type: ReDIF-Article 1.0 Author-Name: Elbrous M. Jafarov Author-X-Name-First: Elbrous M. Author-X-Name-Last: Jafarov Title: Robust reduced-order sliding mode observer design Abstract: In this article, a triple state and output variable transformation-based method combined with linear matrix inequality (LMI) techniques to design a new robust reduced-order sliding mode observer for perturbed linear multiple-input and multiple-output systems is developed. The state and output variables of the original system are triple transformed into suitable canonical form coordinates to facilitate the design of a reduced-order observer. The existing transformations are summarised in this study and presented systematically. A new combined observer configuration is proposed and compared with another type of observers. Global asymptotical stability LMI and sliding mode existence conditions for the coupled observer error system are derived using Lyapunov full quadratic form. Reaching and sliding modes of motion of decoupled observer error system are discussed as well. Two numerical and simulation examples are given to illustrate the usefulness of the proposed design techniques. Journal: International Journal of Systems Science Pages: 567-577 Issue: 4 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.533031 File-URL: http://hdl.handle.net/10.1080/00207721.2010.533031 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:4:p:567-577 Template-Type: ReDIF-Article 1.0 Author-Name: C.J. Ziser Author-X-Name-First: C.J. Author-X-Name-Last: Ziser Author-Name: Z.Y. Dong Author-X-Name-First: Z.Y. Author-X-Name-Last: Dong Author-Name: K.P. Wong Author-X-Name-First: K.P. Author-X-Name-Last: Wong Title: Incorporating weather uncertainty in demand forecasts for electricity market planning Abstract: A major component of electricity network planning is to ensure supply capability into the future, through generation and transmission development. Accurate forecasts of maximum demand are a crucial component of this process, with future weather conditions having a large impact on forecast accuracy. This article presents an improved methodology for the consideration of weather uncertainty in electricity demand forecasts. Case studies based on the Australian national electricity market are used to validate the proposed methodology. Journal: International Journal of Systems Science Pages: 1336-1346 Issue: 7 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.598962 File-URL: http://hdl.handle.net/10.1080/00207721.2011.598962 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:7:p:1336-1346 Template-Type: ReDIF-Article 1.0 Author-Name: Giovanni Iacca Author-X-Name-First: Giovanni Author-X-Name-Last: Iacca Author-Name: Ferrante Neri Author-X-Name-First: Ferrante Author-X-Name-Last: Neri Author-Name: Ernesto Mininno Author-X-Name-First: Ernesto Author-X-Name-Last: Mininno Title: Noise analysis compact differential evolution Abstract: This article proposes a compact algorithm for optimisation in noisy environments. This algorithm has a compact structure and employs differential evolution search logic. Since it is a compact algorithm, it does not store a population of solutions but a probabilistic representation of the population. This kind of algorithmic structure can be implemented in those real-world problems characterized by memory limitations. The degree of randomization contained in the compact structure allows a robust behaviour in the presence of noise. In addition the proposed algorithm employs the noise analysis survivor selection scheme. This scheme performs an analysis of the noise and automatically performs a re-sampling of the solutions in order to ensure both reliable pairwise comparisons and a minimal cost in terms of fitness evaluations. The noise analysis component can be reliably used in noise environments affected by Gaussian noise which allow an a priori analysis of the noise features. This situation is typical of problems where the fitness is computed by means of measurement devices. An extensive comparative analysis including four different noise levels has been included. Numerical results show that the proposed algorithm displays a very good performance since it regularly succeeds at handling diverse fitness landscapes characterized by diverse noise amplitudes. Journal: International Journal of Systems Science Pages: 1248-1267 Issue: 7 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.598964 File-URL: http://hdl.handle.net/10.1080/00207721.2011.598964 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:7:p:1248-1267 Template-Type: ReDIF-Article 1.0 Author-Name: N.C. Suganya Author-X-Name-First: N.C. Author-X-Name-Last: Suganya Author-Name: G.A. Pai Author-X-Name-First: G.A. Author-X-Name-Last: Pai Title: Wavelet evolutionary network for complex-constrained portfolio rebalancing Abstract: Portfolio rebalancing problem deals with resetting the proportion of different assets in a portfolio with respect to changing market conditions. The constraints included in the portfolio rebalancing problem are basic, cardinality, bounding, class and proportional transaction cost. In this study, a new heuristic algorithm named wavelet evolutionary network (WEN) is proposed for the solution of complex-constrained portfolio rebalancing problem. Initially, the empirical covariance matrix, one of the key inputs to the problem, is estimated using the wavelet shrinkage denoising technique to obtain better optimal portfolios. Secondly, the complex cardinality constraint is eliminated using k-means cluster analysis. Finally, WEN strategy with logical procedures is employed to find the initial proportion of investment in portfolio of assets and also rebalance them after certain period. Experimental studies of WEN are undertaken on Bombay Stock Exchange, India (BSE200 index, period: July 2001–July 2006) and Tokyo Stock Exchange, Japan (Nikkei225 index, period: March 2002–March 2007) data sets. The result obtained using WEN is compared with the only existing counterpart named Hopfield evolutionary network (HEN) strategy and also verifies that WEN performs better than HEN. In addition, different performance metrics and data envelopment analysis are carried out to prove the robustness and efficiency of WEN over HEN strategy. Journal: International Journal of Systems Science Pages: 1367-1385 Issue: 7 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.601351 File-URL: http://hdl.handle.net/10.1080/00207721.2011.601351 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:7:p:1367-1385 Template-Type: ReDIF-Article 1.0 Author-Name: Yoel Tenne Author-X-Name-First: Yoel Author-X-Name-Last: Tenne Author-Name: Kazuhiro Izui Author-X-Name-First: Kazuhiro Author-X-Name-Last: Izui Author-Name: Shinji Nishiwaki Author-X-Name-First: Shinji Author-X-Name-Last: Nishiwaki Title: A hybrid model-classifier framework for managing prediction uncertainty in expensive optimisation problems Abstract: Many real-world optimisation problems rely on computationally expensive simulations to evaluate candidate solutions. Often, such problems will contain candidate solutions for which the simulation fails, for example, due to limitations of the simulation. Such candidate solutions can hinder the effectiveness of the optimisation since they may consume a large portion of the optimisation budget without providing new information to the optimiser, leading to search stagnation and a poor final result. Existing approaches to handle such designs either discard them altogether, or assign them a penalised fitness. However, this results in loss of beneficial information, or in a model with a severely deformed landscape. To address these issues, this study proposes a hybrid classifier-model framework. The role of the classifier is to predict which candidate solutions are likely to crash the simulation, and this prediction is then used to bias the search towards valid solutions. Furthermore, the proposed framework employs a trust-region approach, and several other procedures, to manage the model and classifier, and to ensure the progress of the optimisation. Performance analysis using an engineering application of airfoil shape optimisation shows the efficacy of the proposed framework, and the possibility to use the knowledge accumulated in the classifier to gain new insights into the problem being solved. Journal: International Journal of Systems Science Pages: 1305-1321 Issue: 7 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.602482 File-URL: http://hdl.handle.net/10.1080/00207721.2011.602482 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:7:p:1305-1321 Template-Type: ReDIF-Article 1.0 Author-Name: V.G. Asouti Author-X-Name-First: V.G. Author-X-Name-Last: Asouti Author-Name: K.C. Giannakoglou Author-X-Name-First: K.C. Author-X-Name-Last: Giannakoglou Title: A low-cost evolutionary algorithm for the unit commitment problem considering probabilistic unit outages Abstract: This article presents a solution method to the unit commitment problem with probabilistic unit failures and repairs, which is based on evolutionary algorithms and Monte Carlo simulations. Regarding the latter, thousands of availability–unavailability trial time patterns along the scheduling horizon are generated. The objective function to be minimised is the expected total operating cost, computed after adapting any candidate solution, i.e. any series of generating/non-generating (ON/OFF) unit states, to the availability–unavailability patterns and performing evaluations by considering fuel, start-up and shutdown costs as well as the cost for buying electricity from external resources, if necessary. The proposed method introduces a new efficient chromosome representation: the decision variables are integer IDs corresponding to the binary-to-decimal converted ON/OFF (1/0) scenarios that cover the demand in each hour. In contrast to previous methods using binary strings as chromosomes, the new chromosome must be penalised only if any of the constraints regarding start-up, shutdown and ramp times cannot be met, chromosome repair is avoided and, consequently, the dispatch problems are solved once in the preparatory phase instead of during the evolution. For all these reasons, with or without probabilistic outages, the proposed algorithm has much lower CPU cost. In addition, if probabilistic outages are taken into account, a hierarchical evaluation scheme offers extra noticeable gain in CPU cost: the population members are approximately pre-evaluated using a small ‘representative’ set of the Monte Carlo simulations and only a few top population members undergo evaluations through the full Monte Carlo simulations. The hierarchical scheme makes the proposed method about one order of magnitude faster than its conventional counterpart. Journal: International Journal of Systems Science Pages: 1322-1335 Issue: 7 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.604742 File-URL: http://hdl.handle.net/10.1080/00207721.2011.604742 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:7:p:1322-1335 Template-Type: ReDIF-Article 1.0 Author-Name: Moayed Daneshyari Author-X-Name-First: Moayed Author-X-Name-Last: Daneshyari Author-Name: Gary Yen Author-X-Name-First: Gary Author-X-Name-Last: Yen Title: Cultural-based particle swarm for dynamic optimisation problems Abstract: Many practical optimisation problems are with the existence of uncertainties, among which a significant number belong to the dynamic optimisation problem (DOP) category in which the fitness function changes through time. In this study, we propose the cultural-based particle swarm optimisation (PSO) to solve DOP problems. A cultural framework is adopted incorporating the required information from the PSO into five sections of the belief space, namely situational, temporal, domain, normative and spatial knowledge. The stored information will be adopted to detect the changes in the environment and assists response to the change through a diversity-based repulsion among particles and migration among swarms in the population space, and also helps in selecting the leading particles in three different levels, personal, swarm and global levels. Comparison of the proposed heuristics over several difficult dynamic benchmark problems demonstrates the better or equal performance with respect to most of other selected state-of-the-art dynamic PSO heuristics. Journal: International Journal of Systems Science Pages: 1284-1304 Issue: 7 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.605965 File-URL: http://hdl.handle.net/10.1080/00207721.2011.605965 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:7:p:1284-1304 Template-Type: ReDIF-Article 1.0 Author-Name: Hongfeng Wang Author-X-Name-First: Hongfeng Author-X-Name-Last: Wang Author-Name: Shengxiang Yang Author-X-Name-First: Shengxiang Author-X-Name-Last: Yang Author-Name: W.H. Ip Author-X-Name-First: W.H. Author-X-Name-Last: Ip Author-Name: Dingwei Wang Author-X-Name-First: Dingwei Author-X-Name-Last: Wang Title: A memetic particle swarm optimisation algorithm for dynamic multi-modal optimisation problems Abstract: Many real-world optimisation problems are both dynamic and multi-modal, which require an optimisation algorithm not only to find as many optima under a specific environment as possible, but also to track their moving trajectory over dynamic environments. To address this requirement, this article investigates a memetic computing approach based on particle swarm optimisation for dynamic multi-modal optimisation problems (DMMOPs). Within the framework of the proposed algorithm, a new speciation method is employed to locate and track multiple peaks and an adaptive local search method is also hybridised to accelerate the exploitation of species generated by the speciation method. In addition, a memory-based re-initialisation scheme is introduced into the proposed algorithm in order to further enhance its performance in dynamic multi-modal environments. Based on the moving peaks benchmark problems, experiments are carried out to investigate the performance of the proposed algorithm in comparison with several state-of-the-art algorithms taken from the literature. The experimental results show the efficiency of the proposed algorithm for DMMOPs. Journal: International Journal of Systems Science Pages: 1268-1283 Issue: 7 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.605966 File-URL: http://hdl.handle.net/10.1080/00207721.2011.605966 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:7:p:1268-1283 Template-Type: ReDIF-Article 1.0 Author-Name: Cheng Kheng Author-X-Name-First: Cheng Author-X-Name-Last: Kheng Author-Name: Siang Chong Author-X-Name-First: Siang Author-X-Name-Last: Chong Author-Name: Meng-Hiot Lim Author-X-Name-First: Meng-Hiot Author-X-Name-Last: Lim Title: Centroid-based memetic algorithm – adaptive Lamarckian and Baldwinian learning Abstract: The application of specific learning schemes in memetic algorithms (MAs) can have significant impact on their performances. One main issue revolves around two different learning schemes, specifically, Lamarckian and Baldwinian. It has been shown that the two learning schemes are better suited for different types of problems and some previous studies have attempted to combine both learning schemes as a means to develop a single optimisation framework capable of solving more classes of problems. However, most of the past approaches are often implemented heuristically and have not investigated the effect of different learning scheme on noisy design optimisation. In this article, we introduce a simple probabilistic approach to address this issue. In particular, we investigate a centroid-based approach that combines the two learning schemes within an MA framework (centroid-based MS; CBMA) through the effective allocation of resources (in terms of local search cost) that are based on information obtained during the optimisation process itself. A scheme that applies the right learning scheme (Lamarckian or Baldwinian) at the right time (during search) would lead to higher search performance. We conducted an empirical study to test this hypothesis using two different types of benchmark problems. The first problem set consists of simple benchmark problems whereby the problem landscape is static and gradient information can be obtained accurately. These problems are known to favour Lamarckian learning while Baldwinian learning is known to exhibit slower convergence. The second problem set consists of noisy versions of the first problem set whereby the problem landscape is dynamic as a result of the random noise perturbation injected into the design vector. These problems are known to favour learning processes that re-sample search points such as Baldwinian learning. Our experiments show that CBMA manages to adaptively allocate resources productively according to problem in most of the cases. Journal: International Journal of Systems Science Pages: 1193-1216 Issue: 7 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.617526 File-URL: http://hdl.handle.net/10.1080/00207721.2011.617526 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:7:p:1193-1216 Template-Type: ReDIF-Article 1.0 Author-Name: J.Y. Chia Author-X-Name-First: J.Y. Author-X-Name-Last: Chia Author-Name: C.K. Goh Author-X-Name-First: C.K. Author-X-Name-Last: Goh Author-Name: V.A. Shim Author-X-Name-First: V.A. Author-X-Name-Last: Shim Author-Name: K.C. Tan Author-X-Name-First: K.C. Author-X-Name-Last: Tan Title: A data mining approach to evolutionary optimisation of noisy multi-objective problems Abstract: Many real world optimisation problems have opposing objective functions which are subjected to the influence of noise. Noise in the objective functions can adversely affect the stability, performance and convergence of evolutionary optimisers. This article proposes a Bayesian frequent data mining (DM) approach to identify optimal regions to guide the population amidst the presence of noise. The aggregated information provided by all the solutions helped to average out the effects of noise. This article proposes a DM crossover operator to make use of the rules mined. After implementation of this operator, a better convergence to the true Pareto front is achieved at the expense of the diversity of the solution. Consequently, an ExtremalExploration operator will be proposed in the later part of this article to help curb the loss in diversity caused by the DM operator. The result is a more directive search with a faster convergence rate. The search is effective in decision space where the Pareto set is in a tight cluster. A further investigation of the performance of the proposed algorithm in noisy and noiseless environment will also be studied with respect to non-convexity, discontinuity, multi-modality and uniformity. The proposed algorithm is evaluated on ZDT and other benchmarks problems. The results of the simulations indicate that the proposed method is effective in handling noise and is competitive against the other noise tolerant algorithms. Journal: International Journal of Systems Science Pages: 1217-1247 Issue: 7 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.618645 File-URL: http://hdl.handle.net/10.1080/00207721.2011.618645 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:7:p:1217-1247 Template-Type: ReDIF-Article 1.0 Author-Name: Xianshun Chen Author-X-Name-First: Xianshun Author-X-Name-Last: Chen Author-Name: Liang Feng Author-X-Name-First: Liang Author-X-Name-Last: Feng Author-Name: Yew Soon Ong Author-X-Name-First: Yew Author-X-Name-Last: Soon Ong Title: A self-adaptive memeplexes robust search scheme for solving stochastic demands vehicle routing problem Abstract: In this article, we proposed a self-adaptive memeplex robust search (SAMRS) for finding robust and reliable solutions that are less sensitive to stochastic behaviours of customer demands and have low probability of route failures, respectively, in vehicle routing problem with stochastic demands (VRPSD). In particular, the contribution of this article is three-fold. First, the proposed SAMRS employs the robust solution search scheme (RS3) as an approximation of the computationally intensive Monte Carlo simulation, thus reducing the computation cost of fitness evaluation in VRPSD, while directing the search towards robust and reliable solutions. Furthermore, a self-adaptive individual learning based on the conceptual modelling of memeplex is introduced in the SAMRS. Finally, SAMRS incorporates a gene-meme co-evolution model with genetic and memetic representation to effectively manage the search for solutions in VRPSD. Extensive experimental results are then presented for benchmark problems to demonstrate that the proposed SAMRS serves as an efficable means of generating high-quality robust and reliable solutions in VRPSD. Journal: International Journal of Systems Science Pages: 1347-1366 Issue: 7 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.618646 File-URL: http://hdl.handle.net/10.1080/00207721.2011.618646 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:7:p:1347-1366 Template-Type: ReDIF-Article 1.0 Author-Name: Chi-Keong Goh Author-X-Name-First: Chi-Keong Author-X-Name-Last: Goh Author-Name: Ferrante Neri Author-X-Name-First: Ferrante Author-X-Name-Last: Neri Title: Computational intelligence optimisation in the presence of uncertainties Journal: International Journal of Systems Science Pages: 1191-1192 Issue: 7 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2012.679790 File-URL: http://hdl.handle.net/10.1080/00207721.2012.679790 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:7:p:1191-1192 Template-Type: ReDIF-Article 1.0 Author-Name: Hyoung Oh Kim Author-X-Name-First: Hyoung Oh Author-X-Name-Last: Kim Author-Name: Sung Jin Yoo Author-X-Name-First: Sung Jin Author-X-Name-Last: Yoo Title: Decentralised disturbance-observer-based adaptive tracking in the presence of unmatched nonlinear time-delayed interactions and disturbances Abstract: This paper proposes an approximation-based nonlinear disturbance observer (NDO) approach for decentralised adaptive tracking of uncertain interconnected pure-feedback nonlinear systems with unmatched time-delayed nonlinear interactions and external disturbances. Compared with the existing approximation-based NDO approach for uncertain interconnected nonlinear systems where the centralised design framework was proposed, the main contribution of this paper is to develop a decentralised and memoryless NDO-based adaptive control scheme in the presence of unknown time-varying delayed interactions and disturbances unmatched in the control inputs. The recursive design methodology is derived to construct the decentralised NDO and controller where the function approximators used in the decentralised NDO are employed to design the decentralised adaptive controller. From the Lyapunov stability theorem using Lyapunov--Krasovskii functionals, it is shown that all signals of the closed-loop system are semi-globally uniformly ultimately bounded and the tracking errors converge to an adjustable neighbourhood of the origin. Journal: International Journal of Systems Science Pages: 98-112 Issue: 1 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1384965 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1384965 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:1:p:98-112 Template-Type: ReDIF-Article 1.0 Author-Name: Amir Hossein Hassanabadi Author-X-Name-First: Amir Hossein Author-X-Name-Last: Hassanabadi Author-Name: Masoud Shafiee Author-X-Name-First: Masoud Author-X-Name-Last: Shafiee Author-Name: Vicenc Puig Author-X-Name-First: Vicenc Author-X-Name-Last: Puig Title: Sensor fault diagnosis of singular delayed LPV systems with inexact parameters: an uncertain system approach Abstract: In this paper, sensor fault diagnosis of a singular delayed linear parameter varying (LPV) system is considered. In the considered system, the model matrices are dependent on some parameters which are real-time measurable. The case of inexact parameter measurements is considered which is close to real situations. Fault diagnosis in this system is achieved via fault estimation. For this purpose, an augmented system is created by including sensor faults as additional system states. Then, an unknown input observer (UIO) is designed which estimates both the system states and the faults in the presence of measurement noise, disturbances and uncertainty induced by inexact measured parameters. Error dynamics and the original system constitute an uncertain system due to inconsistencies between real and measured values of the parameters. Then, the robust estimation of the system states and the faults are achieved with H∞ performance and formulated with a set of linear matrix inequalities (LMIs). The designed UIO is also applicable for fault diagnosis of singular delayed LPV systems with unmeasurable scheduling variables. The efficiency of the proposed approach is illustrated with an example. Journal: International Journal of Systems Science Pages: 179-195 Issue: 1 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1390700 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1390700 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:1:p:179-195 Template-Type: ReDIF-Article 1.0 Author-Name: Hanmei Wang Author-X-Name-First: Hanmei Author-X-Name-Last: Wang Author-Name: Jun Zhao Author-X-Name-First: Jun Author-X-Name-Last: Zhao Title: Passivity and control of switched discrete-time nonlinear systems using linearisation Abstract: Local passivity and H∞ control of switched discrete-time nonlinear systems are studied using the linearisation technique in this paper. We first establish LMI-based sufficient conditions under which theconsidered system is locally strictly QSR-dissipative. Then, two special cases of QSR-dissipativity, local passivity and l2 gain, are investigated. In view of the derived conditions being all convex in linearised system matrices, local feedback passification and H∞ control problems of switched discrete-time nonlinear systems are solved. The efficiency of the proposed method is verified through numerical examples. Journal: International Journal of Systems Science Pages: 68-83 Issue: 1 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1390701 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1390701 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:1:p:68-83 Template-Type: ReDIF-Article 1.0 Author-Name: Yihang Yang Author-X-Name-First: Yihang Author-X-Name-Last: Yang Author-Name: Xiang Cheng Author-X-Name-First: Xiang Author-X-Name-Last: Cheng Author-Name: Junrui Cheng Author-X-Name-First: Junrui Author-X-Name-Last: Cheng Author-Name: Da Jiang Author-X-Name-First: Da Author-X-Name-Last: Jiang Author-Name: Shaojun Li Author-X-Name-First: Shaojun Author-X-Name-Last: Li Title: Improved Alopex-based evolutionary algorithm by Gaussian copula estimation of distribution algorithm and its application to the Butterworth filter design Abstract: The application of evolutionary algorithms (EAs) is becoming widespread in engineering optimisation problems because of their simplicity and effectiveness. The Alopex-based evolutionary algorithm (AEA) possesses the basic characteristics of heuristic search algorithms but is lacking in adequate information about the fitness landscape of the input domain, reducing the convergence speed. To improve the performance of AEA, the Gaussian copula estimation of distribution algorithm (EDA) is embedded into the original AEA in this paper. With the help of Gaussian copula EDA, precise probability models are built utilising the best solutions, which can increase the convergence speed, and at the same time, keep the population diversity as much as possible. The simulation results on the benchmark functions and the application to the Butterworth filter design demonstrate the efficiency and effectiveness of the proposed algorithm, compared with several other EAs. Journal: International Journal of Systems Science Pages: 160-178 Issue: 1 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1390702 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1390702 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:1:p:160-178 Template-Type: ReDIF-Article 1.0 Author-Name: Weimin Chen Author-X-Name-First: Weimin Author-X-Name-Last: Chen Author-Name: Qian Ma Author-X-Name-First: Qian Author-X-Name-Last: Ma Author-Name: Lanning Wang Author-X-Name-First: Lanning Author-X-Name-Last: Wang Author-Name: Huiling Xu Author-X-Name-First: Huiling Author-X-Name-Last: Xu Title: Stabilisation and control of neutral stochastic delay Markovian jump systems Abstract: This paper investigates the exponential stabilisation and H∞ control problem of neutral stochastic delay Markovian jump systems. First, a delay feedback controller is designed to stabilise the neutral stochastic delay Markovian jump system in the drift part. Second, sufficient conditions for the existence of feedback controller are proposed to ensure that the resulting closed-loop system is exponentially stable in mean square and satisfies a prescribed H∞ performance level. Finally, numerical examples are provided to show the effectiveness of the proposed design methods. Journal: International Journal of Systems Science Pages: 58-67 Issue: 1 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1390703 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1390703 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:1:p:58-67 Template-Type: ReDIF-Article 1.0 Author-Name: Qun Lu Author-X-Name-First: Qun Author-X-Name-Last: Lu Author-Name: Li Yu Author-X-Name-First: Li Author-X-Name-Last: Yu Author-Name: Dan Zhang Author-X-Name-First: Dan Author-X-Name-Last: Zhang Author-Name: Xuebo Zhang Author-X-Name-First: Xuebo Author-X-Name-Last: Zhang Title: Simultaneous tracking and regulation visual servoing of wheeled mobile robots with uncalibrated extrinsic parameters Abstract: This paper presentsa global adaptive controller that simultaneously solves tracking and regulation for wheeled mobile robots with unknown depth and uncalibrated camera-to-robot extrinsic parameters. The rotational angle and the scaled translation between the current camera frame and the reference camera frame, as well as the ones between the desired camera frame and the reference camera frame can be calculated in real time by using the pose estimation techniques. A transformed system is first obtained, for which an adaptive controller is then designed to accomplish both tracking and regulation tasks, and the controller synthesis is based on Lyapunov's direct method. Finally, the effectiveness of the proposed method is illustrated by a simulation study. Journal: International Journal of Systems Science Pages: 217-229 Issue: 1 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1390704 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1390704 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:1:p:217-229 Template-Type: ReDIF-Article 1.0 Author-Name: Min-Sung Koo Author-X-Name-First: Min-Sung Author-X-Name-Last: Koo Author-Name: Ho-Lim Choi Author-X-Name-First: Ho-Lim Author-X-Name-Last: Choi Title: Adaptive non-predictor control of lower triangular uncertain nonlinear systems with an unknown time-varying delay in the input Abstract: In this paper, we consider a control problem for a class of uncertain nonlinear systems in which there exists an unknown time-varying delay in the input and lower triangular nonlinearities. Usually, in the existing results, input delays have been coupled with feedforward (or upper triangular) nonlinearities; in other words, the combination of lower triangular nonlinearities and input delay has been rare. Motivated by the existing controller for input-delayed chain of integrators with nonlinearity, we show that the control of input-delayed nonlinear systems with two particular types of lower triangular nonlinearities can be done. As a control solution, we propose a newly designed feedback controller whose main features are its dynamic gain and non-predictor approach. Three examples are given for illustration. Journal: International Journal of Systems Science Pages: 124-131 Issue: 1 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1390705 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1390705 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:1:p:124-131 Template-Type: ReDIF-Article 1.0 Author-Name: Shi Li Author-X-Name-First: Shi Author-X-Name-Last: Li Author-Name: Zhengrong Xiang Author-X-Name-First: Zhengrong Author-X-Name-Last: Xiang Title: Adaptive prescribed performance control for switched nonlinear systems with input saturation Abstract: In this paper, an adaptive prescribed performance output-feedback control scheme is proposed for a class of switched nonlinear systems with input saturation. The MT-filters are employed to estimate the unmeasured states and the unknown functions are approximated by the radial basis function neural networks in controller design procedure. It is proved that all the signals in the closed-loop system are semi-globally uniformly ultimately bounded and the tracking error satisfies the prescribed performance. Finally, simulation results are given to illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 113-123 Issue: 1 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1390706 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1390706 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:1:p:113-123 Template-Type: ReDIF-Article 1.0 Author-Name: Abderrahim El-Amrani Author-X-Name-First: Abderrahim Author-X-Name-Last: El-Amrani Author-Name: Bensalem Boukili Author-X-Name-First: Bensalem Author-X-Name-Last: Boukili Author-Name: Abdellaziz Hmamed Author-X-Name-First: Abdellaziz Author-X-Name-Last: Hmamed Author-Name: Ahmed El Hajjaji Author-X-Name-First: Ahmed Author-X-Name-Last: El Hajjaji Author-Name: Ismail Boumhidi Author-X-Name-First: Ismail Author-X-Name-Last: Boumhidi Title: Robust filtering for 2D continuous systems with finite frequency specifications Abstract: This paper investigates the design problem of robust H∞ filtering for uncertain two-dimensional (2D) continuous systems described by Roesser model with polytopic uncertainties and frequency domain specifications. Our aim is to design a new filter guaranteeing an H∞ performance level in specific finite frequency (FF) domains. Using the well-known generalised Kalman Yakubovich Popov lemma and homogeneous polynomially parameter-dependent matrices of arbitrary degrees, sufficient conditions for the existence of H∞ filters for different FF ranges are proposed and then unified in terms of solving a set of linear matrix inequalities. Illustrative examples are provided to show the usefulness and potential of the proposed results. Journal: International Journal of Systems Science Pages: 43-57 Issue: 1 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1391960 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1391960 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:1:p:43-57 Template-Type: ReDIF-Article 1.0 Author-Name: Hamideh Hamidian Author-X-Name-First: Hamideh Author-X-Name-Last: Hamidian Author-Name: Mohammad T. H. Beheshti Author-X-Name-First: Mohammad T. H. Author-X-Name-Last: Beheshti Title: A robust fractional-order PID controller design based on active queue management for TCP network Abstract: In this paper, a robust fractional-order controller is designed to control the congestion in transmission control protocol (TCP) networks with time-varying parameters. Fractional controllers can increase the stability and robustness. Regardless of advantages of fractional controllers, they are still not common in congestion control in TCP networks. The network parameters are time-varying, so the robust stability is important in congestion controller design. Therefore, we focused on the robust controller design. The fractional PID controller is developed based on active queue management (AQM). D-partition technique is used. The most important property of designed controller is the robustness to the time-varying parameters of the TCP network. The vertex quasi-polynomials of the closed-loop characteristic equation are obtained, and the stability boundaries are calculated for each vertex quasi-polynomial. The intersection of all stability regions is insensitive to network parameter variations, and results in robust stability of TCP/AQM system. NS-2 simulations show that the proposed algorithm provides a stable queue length. Moreover, simulations show smaller oscillations of the queue length and less packet drop probability for FPID compared to PI and PID controllers. We can conclude from NS-2 simulations that the average packet loss probability variations are negligible when the network parameters change. Journal: International Journal of Systems Science Pages: 211-216 Issue: 1 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1397801 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1397801 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:1:p:211-216 Template-Type: ReDIF-Article 1.0 Author-Name: Chao Chen Author-X-Name-First: Chao Author-X-Name-Last: Chen Author-Name: Qian Liu Author-X-Name-First: Qian Author-X-Name-Last: Liu Author-Name: Jun Zhao Author-X-Name-First: Jun Author-X-Name-Last: Zhao Title: Input and output constraints-based stabilisation of switched nonlinear systems with unstable subsystems and its application Abstract: This paper studies the problem of stabilisation of switched nonlinear systems with output and input constraints. We propose a recursive approach to solve this issue. None of the subsystems are assumed to be stablisable while the switched system is stabilised by dual design of controllers for subsystems and a switching law. When only dealing with bounded input, we provide nested switching controllers using an extended backstepping procedure. If both input and output constraints are taken into consideration, a Barrier Lyapunov Function is employed during operation to construct multiple Lyapunov functions for switched nonlinear system in the backstepping procedure. As a practical example, the control design of an equilibrium manifold expansion model of aero-engine is given to demonstrate the effectiveness of the proposed design method. Journal: International Journal of Systems Science Pages: 84-97 Issue: 1 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1397802 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1397802 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:1:p:84-97 Template-Type: ReDIF-Article 1.0 Author-Name: JingPing Shao Author-X-Name-First: JingPing Author-X-Name-Last: Shao Author-Name: Yu-Ping Tian Author-X-Name-First: Yu-Ping Author-X-Name-Last: Tian Title: Multi-target localisation and circumnavigation by a multi-agent system with bearing measurements in 2D space Abstract: This paper investigates the problem of multi-target localisation and circumnavigation by a multi-agent system in two-dimensional space, where each target's bearing measurement can be obtained by at least one agent. Both stationary and slowly-moving targets are considered. An estimator is designed to estimate the target position; then a distributed estimation algorithm is designed for each agent to cooperatively estimate the centroid of multi-target; and finally, based on the first two steps, a circumnavigation controller is devised to guarantee that each agent circumnavigates all targets around the multi-target centroid with a desired radius. The convergence of the estimation algorithm and the stability of the circumnavigation controller are proved. A numerical simulation is provided to verify the correctness of the conclusion and the effectiveness of the proposed algorithm. Journal: International Journal of Systems Science Pages: 15-26 Issue: 1 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1397803 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1397803 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:1:p:15-26 Template-Type: ReDIF-Article 1.0 Author-Name: Junxun Chen Author-X-Name-First: Junxun Author-X-Name-Last: Chen Author-Name: Longsheng Cheng Author-X-Name-First: Longsheng Author-X-Name-Last: Cheng Author-Name: Hui Yu Author-X-Name-First: Hui Author-X-Name-Last: Yu Author-Name: Shaolin Hu Author-X-Name-First: Shaolin Author-X-Name-Last: Hu Title: Rolling bearing fault diagnosis and health assessment using EEMD and the adjustment Mahalanobis–Taguchi system Abstract: For the timely identification of the potential faults of a rolling bearing and to observe its health condition intuitively and accurately, a novel fault diagnosis and health assessment model for a rolling bearing based on the ensemble empirical mode decomposition (EEMD) method and the adjustment Mahalanobis–Taguchi system (AMTS) method is proposed. The specific steps are as follows: First, the vibration signal of a rolling bearing is decomposed by EEMD, and the extracted features are used as the input vectors of AMTS. Then, the AMTS method, which is designed to overcome the shortcomings of the traditional Mahalanobis–Taguchi system and to extract the key features, is proposed for fault diagnosis. Finally, a type of HI concept is proposed according to the results of the fault diagnosis to accomplish the health assessment of a bearing in its life cycle. To validate the superiority of the developed method proposed approach, it is compared with other recent method and proposed methodology is successfully validated on a vibration data-set acquired from seeded defects and from an accelerated life test. The results show that this method represents the actual situation well and is able to accurately and effectively identify the fault type. Journal: International Journal of Systems Science Pages: 147-159 Issue: 1 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1397804 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1397804 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:1:p:147-159 Template-Type: ReDIF-Article 1.0 Author-Name: Tiedong Ma Author-X-Name-First: Tiedong Author-X-Name-Last: Ma Author-Name: Teng Li Author-X-Name-First: Teng Author-X-Name-Last: Li Author-Name: Bing Cui Author-X-Name-First: Bing Author-X-Name-Last: Cui Title: Coordination of fractional-order nonlinear multi-agent systems via distributed impulsive control Abstract: The coordination of fractional-order nonlinear multi-agent systems via distributed impulsive control method is studied in this paper. Based on the theory of impulsive differential equations, algebraic graph theory, Lyapunov stability theory and Mittag-Leffler function, two novel sufficient conditions for achieving the cooperative control of a class of fractional-order nonlinear multi-agent systems are derived. Finally, two numerical simulations are verified to illustrate the effectiveness and feasibility of the proposed method. Journal: International Journal of Systems Science Pages: 1-14 Issue: 1 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1397805 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1397805 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:1:p:1-14 Template-Type: ReDIF-Article 1.0 Author-Name: F. Meléndez-Vázquez Author-X-Name-First: F. Author-X-Name-Last: Meléndez-Vázquez Author-Name: O. Martínez-Fuentes Author-X-Name-First: O. Author-X-Name-Last: Martínez-Fuentes Author-Name: R. Martínez-Guerra Author-X-Name-First: R. Author-X-Name-Last: Martínez-Guerra Title: Fractional fault-tolerant dynamical controller for a class of commensurate-order fractional systems Abstract: A fault-tolerant control scheme is proposed for a class of commensurate-order fractional nonlinear systems that consists of two fractional-order observers (hybrid scheme). The diagnosis of the faults is performed by means of a model-free fractional proportional integral reduced-order observer that uses the fractional algebraic observability property. A fractional dynamical controller obtained in a natural way from the dynamics of a fractional high-gain observer is designed, which is constructed from a fractional generalised observability canonical form; the controller performs output tracking, thus eliminating the effects of the faults. A stability analysis on the overall system demonstrates that the origin is Mittag–Leffler stable. The proposed methodology is assessed by means of simulations on the fractional models of the Van der Pol oscillator and a DC motor. Journal: International Journal of Systems Science Pages: 196-210 Issue: 1 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1397806 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1397806 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:1:p:196-210 Template-Type: ReDIF-Article 1.0 Author-Name: Mengli Xiao Author-X-Name-First: Mengli Author-X-Name-Last: Xiao Author-Name: Yongbo Zhang Author-X-Name-First: Yongbo Author-X-Name-Last: Zhang Author-Name: Zhihua Wang Author-X-Name-First: Zhihua Author-X-Name-Last: Wang Author-Name: Huimin Fu Author-X-Name-First: Huimin Author-X-Name-Last: Fu Title: Augmented robust three-stage extended Kalman filter for Mars entry-phase autonomous navigation Abstract: High-precision entry navigation capability is essential for future Mars pinpoint landing missions. An augmented robust three-stage extended Kalman filter (ARThSEKF) for integrated navigation algorithm of Mars atmospheric entry with models containing parameter uncertainties and measurement errors is presented in this paper. The derivation is conducted, and the character of stability has also been analysed, in which it has been proved to be uniformly asymptotically stable. In the further simulation of Mars entry-phase navigation, ARThSEKF showed a good performance to compare with the standard extended Kalman filter. As the atmosphere density uncertainties and unknown measurement errors have been estimated precisely, the state estimation errors were controlled to a low level, of which the position and velocity were less than 100 m and 5 m/s, respectively. Therefore, ARThSEKF is suitable for dealing with non-linear systems in the presence of parameter uncertainties and unknown measurement errors, which can fulfil the requirement of future pinpoint Mars landing mission. Journal: International Journal of Systems Science Pages: 27-42 Issue: 1 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1397807 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1397807 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:1:p:27-42 Template-Type: ReDIF-Article 1.0 Author-Name: Leitao Huang Author-X-Name-First: Leitao Author-X-Name-Last: Huang Author-Name: Yongming Li Author-X-Name-First: Yongming Author-X-Name-Last: Li Author-Name: Shaocheng Tong Author-X-Name-First: Shaocheng Author-X-Name-Last: Tong Title: Fuzzy adaptive output feedback control for a class of switched non-triangular structure nonlinear systems with time-varying delays Abstract: This paper investigates an adaptive fuzzy output feedback control design problem for switched nonlinear system in non-triangular structure form. The discussed system contains unknown nonlinear dynamics, unmeasured states and unknown time-varying delays under a batch of switching signals. Fuzzy logic systems are utilised to learn unknown nonlinear dynamics and construct a fuzzy switched nonlinear observer. By combining the property of fuzzy basis function with Lyapunov–Krasovskii functional and the command filter, a novel observer-based fuzzy adaptive backstepping schematic design algorithm is presented. Furthermore, the stability of the closed-loop control system is proved via Lyapunov stability theory and average dwell time method. The simulation results are presented to verify the validity of the proposed control scheme. Journal: International Journal of Systems Science Pages: 132-146 Issue: 1 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1397808 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1397808 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:1:p:132-146 Template-Type: ReDIF-Article 1.0 Author-Name: Paul Darwen Author-X-Name-First: Paul Author-X-Name-Last: Darwen Title: Two levels of Bayesian model averaging for optimal control of stochastic systems Abstract: Bayesian model averaging provides the best possible estimate of a model, given the data. This article uses that approach twice: once to get a distribution of plausible models of the world, and again to find a distribution of plausible control functions. The resulting ensemble gives control instructions different from simply taking the single best-fitting model and using it to find a single lowest-error control function for that single model. The only drawback is, of course, the need for more computer time: this article demonstrates that the required computer time is feasible. The test problem here is from flood control and risk management. Journal: International Journal of Systems Science Pages: 201-213 Issue: 2 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.598963 File-URL: http://hdl.handle.net/10.1080/00207721.2011.598963 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:2:p:201-213 Template-Type: ReDIF-Article 1.0 Author-Name: Farah Bouakrif Author-X-Name-First: Farah Author-X-Name-Last: Bouakrif Author-Name: Djamel Boukhetala Author-X-Name-First: Djamel Author-X-Name-Last: Boukhetala Author-Name: Farès Boudjema Author-X-Name-First: Farès Author-X-Name-Last: Boudjema Title: Velocity observer-based iterative learning control for robot manipulators Abstract: This article addresses the problem of designing an iterative learning control for trajectory tracking of rigid robot manipulators subject to external disturbances, and performing repetitive tasks, without using the velocity measurement. For solving this problem, a velocity observer having an iterative form is proposed to reconstruct the velocity signal in the control laws. Under assumptions that the disturbances are repetitive and the velocities are bounded, it has been shown that the whole control system (robot plus controller plus observer) is asymptotically stable and the observation error is globally asymptotically stable, over the whole finite time-interval when the iteration number tends to infinity. This proof is based upon the use of a Lyapunov-like positive definite sequence, which is shown to be monotonically decreasing under the proposed observer–controller schemes. Journal: International Journal of Systems Science Pages: 214-222 Issue: 2 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.600467 File-URL: http://hdl.handle.net/10.1080/00207721.2011.600467 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:2:p:214-222 Template-Type: ReDIF-Article 1.0 Author-Name: Shu Wang Author-X-Name-First: Shu Author-X-Name-Last: Wang Author-Name: Hua-Liang Wei Author-X-Name-First: Hua-Liang Author-X-Name-Last: Wei Author-Name: Daniel Coca Author-X-Name-First: Daniel Author-X-Name-Last: Coca Author-Name: Stephen Billings Author-X-Name-First: Stephen Author-X-Name-Last: Billings Title: Model term selection for spatio-temporal system identification using mutual information Abstract: A new mutual information based algorithm is introduced for term selection in spatio-temporal models. A generalised cross validation procedure is also introduced for model length determination and examples based on cellular automata, coupled map lattice and partial differential equations are described. Journal: International Journal of Systems Science Pages: 223-231 Issue: 2 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.600468 File-URL: http://hdl.handle.net/10.1080/00207721.2011.600468 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:2:p:223-231 Template-Type: ReDIF-Article 1.0 Author-Name: Antonio Gonzalez Author-X-Name-First: Antonio Author-X-Name-Last: Gonzalez Author-Name: Antonio Sala Author-X-Name-First: Antonio Author-X-Name-Last: Sala Author-Name: Pedro Garcia Author-X-Name-First: Pedro Author-X-Name-Last: Garcia Author-Name: Pedro Albertos Author-X-Name-First: Pedro Author-X-Name-Last: Albertos Title: Robustness analysis of discrete predictor-based controllers for input-delay systems Abstract: In this article, robustness to model uncertainties are analysed in the context of discrete predictor-based state-feedback controllers for discrete-time input-delay systems with time-varying delay, in an LMI framework. The goal is comparing robustness of predictor-based strategies with respect to other (sub)optimal state feedback ones. A numerical example illustrates that improvements in tolerance to modelling errors can be achieved by using the predictor framework. Journal: International Journal of Systems Science Pages: 232-239 Issue: 2 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.600469 File-URL: http://hdl.handle.net/10.1080/00207721.2011.600469 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:2:p:232-239 Template-Type: ReDIF-Article 1.0 Author-Name: Mingwei Sun Author-X-Name-First: Mingwei Author-X-Name-Last: Sun Author-Name: Ruiguang Yang Author-X-Name-First: Ruiguang Author-X-Name-Last: Yang Author-Name: Zenghui Wang Author-X-Name-First: Zenghui Author-X-Name-Last: Wang Author-Name: Zengqiang Chen Author-X-Name-First: Zengqiang Author-X-Name-Last: Chen Title: Stability margin-based PD attitude control tuning for unstable flight vehicle Abstract: Proportional-derivative (PD) attitude control is widely used for the flight vehicles, especially in boost phase. Some of the flight dynamics are open-loop unstable, which often limits the achievable closed-loop performance. Based on the intrinsic characteristics of the linear model obtained from the small perturbation theory, simple numerical analytical tuning formulae of PD attitude control are derived to meet the gain and phase margin specifications. According to Routh stability criterion, the decreasing gain margin is obtained by using the approximation of delay amid low frequency with the established tuning rule. Some numerical polynomial solving approaches are employed to seek the feasible stability margin region, which is explicitly plotted in the 2-D plane. Taking engineering practice into account, the maximum gain constraint is also imposed. Finally, several numerical examples are presented to validate the analysis result. Journal: International Journal of Systems Science Pages: 240-251 Issue: 2 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.600471 File-URL: http://hdl.handle.net/10.1080/00207721.2011.600471 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:2:p:240-251 Template-Type: ReDIF-Article 1.0 Author-Name: Li Sheng Author-X-Name-First: Li Author-X-Name-Last: Sheng Author-Name: Ming Gao Author-X-Name-First: Ming Author-X-Name-Last: Gao Title: Robust stability of Markovian jump discrete-time neural networks with partly unknown transition probabilities and mixed mode-dependent delays Abstract: This article discusses the robust stability problem for a class of uncertain Markovian jump discrete-time neural networks with partly unknown transition probabilities and mixed mode-dependent time delays. The transition probabilities of the mode jumps are considered to be partly unknown, which relax the traditional assumption in Markovian jump systems that all of them must be completely known a priori. The mixed time delays consist of both discrete and distributed delays that are dependent on the Markovian jump modes. By employing the Lyapunov functional and linear matrix inequality approach, some sufficient criteria are derived for the robust stability of the underlying systems. A numerical example is exploited to illustrate the developed theory. Journal: International Journal of Systems Science Pages: 252-264 Issue: 2 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.600472 File-URL: http://hdl.handle.net/10.1080/00207721.2011.600472 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:2:p:252-264 Template-Type: ReDIF-Article 1.0 Author-Name: Peng Wang Author-X-Name-First: Peng Author-X-Name-Last: Wang Author-Name: Chongzhao Han Author-X-Name-First: Chongzhao Author-X-Name-Last: Han Author-Name: Baocang Ding Author-X-Name-First: Baocang Author-X-Name-Last: Ding Title: Stability of discrete-time networked control systems and its extension for robust control Abstract: The stability of discrete-time Networked Control Systems (NCSs) is studied in this article. By introducing some scalars into matrix cross-term bounding technique, we present a new approach for the state feedback controller, with less conservatism, based on the Bilinear Matrix Inequalities (BMIs) and the descriptor model transformation. We further extend the method to robust H∞ control considering both disturbances and parametric uncertainties. For the BMI problem which is difficult to be solved directly, a modified optimisation algorithm is proposed. The practicability, less conservatism and effectiveness of the results are demonstrated by two examples. Journal: International Journal of Systems Science Pages: 275-288 Issue: 2 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.600474 File-URL: http://hdl.handle.net/10.1080/00207721.2011.600474 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:2:p:275-288 Template-Type: ReDIF-Article 1.0 Author-Name: George Nenes Author-X-Name-First: George Author-X-Name-Last: Nenes Title: Optimisation of fully adaptive Bayesian charts for infinite-horizon processes Abstract: This article presents a model for the economic design and optimisation of an adaptive -chart used to monitor the process mean in infinite runs. Assignable causes may randomly affect the mean of the process by shifting it from its target value to an undesirable level. The proposed model allows the determination of the scheme parameters that minimise the total expected quality cost of the procedure. The monitoring mechanism of the process employs a Bayesian chart and at each sampling instance the economically optimum design parameters of the chart are estimated using the Bayes theorem. The effectiveness of the proposed model is estimated through economic comparisons with simpler variable-parameter charts and even simpler fixed-parameter charts. It is shown that significant economic improvement can be achieved through the use of the new model. Journal: International Journal of Systems Science Pages: 289-305 Issue: 2 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.600475 File-URL: http://hdl.handle.net/10.1080/00207721.2011.600475 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:2:p:289-305 Template-Type: ReDIF-Article 1.0 Author-Name: Hoai Nguyen Author-X-Name-First: Hoai Author-X-Name-Last: Nguyen Author-Name: Sorin Olaru Author-X-Name-First: Sorin Author-X-Name-Last: Olaru Title: Hybrid modelling and constrained control of juggling systems Abstract: The goal of this article is to review the modelling framework for juggling systems by stressing the particularities of switching dynamics and to design a controller for the systems based on a reformulation of the model predictive control design. The main idea is to catch an impact during the prediction window at the desired level. One of the particularities is the on-line adaptation of the optimisation problem such that the receding prediction window assures the existence of an impact at a certain moment in absolute time. A constraints softening technique will be used to avoid the in-feasibility problems. In a first stage, the basic juggling system which consists of a ball and a juggling robot in one-dimensional case is detailed and subsequently the study is extended to the case of multiple balls juggling with two degrees of freedom. The simulation results demonstrate the performance of the presented approach. Journal: International Journal of Systems Science Pages: 306-320 Issue: 2 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.600514 File-URL: http://hdl.handle.net/10.1080/00207721.2011.600514 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:2:p:306-320 Template-Type: ReDIF-Article 1.0 Author-Name: Zheng-Wu Wang Author-X-Name-First: Zheng-Wu Author-X-Name-Last: Wang Author-Name: Xueyun Chen Author-X-Name-First: Xueyun Author-X-Name-Last: Chen Author-Name: Yi-Shao Huang Author-X-Name-First: Yi-Shao Author-X-Name-Last: Huang Title: Decentralised direct adaptive fuzzy control for a class of large-scale nonaffine nonlinear systems and application to AHS Abstract: A novel decentralised direct adaptive fuzzy controller design is presented for a class of large-scale nonaffine uncertain nonlinear systems in this article. By integrating a fuzzy logic system and H∞ tracking technique, the designed controller is able to adaptively compensate for interconnections and disturbances with unknown bounds, but none of the control and adaptation laws contains a sign function so that control chattering can be shunned. The closed-loop large-scale system is guaranteed to be asymptotically stable and obtain good H∞ tracking performance. The control approach developed is applied to the following control problem of a string of vehicles within an automated highway system (AHS) and simulation results verify its validity. Journal: International Journal of Systems Science Pages: 321-328 Issue: 2 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.601344 File-URL: http://hdl.handle.net/10.1080/00207721.2011.601344 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:2:p:321-328 Template-Type: ReDIF-Article 1.0 Author-Name: Chun-Xia Dou Author-X-Name-First: Chun-Xia Author-X-Name-Last: Dou Author-Name: Zhi-Sheng Duan Author-X-Name-First: Zhi-Sheng Author-X-Name-Last: Duan Author-Name: Xing-Bei Jia Author-X-Name-First: Xing-Bei Author-X-Name-Last: Jia Title: Delay-dependent H robust control for large power systems based on two-level hierarchical decentralised coordinated control structure Abstract: This article focuses on a novel two-level hierarchical decentralised coordinated control which consists of several local fuzzy power system stabilisers (LFPSSs) for each generator at the first level tuned by supervisory power system stabiliser (SPSS) at the secondary level for the transient stabilisation improvement of large power systems. First, in order to compensate the inherent nonlinear interconnections between subsystems in system dynamic model, a direct feedback linearisation compensator is proposed to act through the local excitation machine. Afterwards, the T–S fuzzy model-based decentralised LFPSS for each generator is designed. Then, for the purpose of improving dynamic performance, the SPSS is designed by using the remote signals from the wide area measurements system. However, there are unavoidable delays involved before the remote signals are received at the SPSS site or the control signals of SPSS are sent to the local systems. Taking consideration of the multiple delays, by using less conservative delay-dependent Lyapunov approach, the authors develop a delay-dependent H∞ robust control technique based on the decentralised coordinated control structure. Some sufficient conditions for the system stabilisation are presented in terms of linear matrix inequalities dependent only on the upper bounds of the time delays. Finally, the effectiveness of the proposed control scheme is demonstrated through simulation examples. Journal: International Journal of Systems Science Pages: 329-345 Issue: 2 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.601345 File-URL: http://hdl.handle.net/10.1080/00207721.2011.601345 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:2:p:329-345 Template-Type: ReDIF-Article 1.0 Author-Name: Wei-Song Zhong Author-X-Name-First: Wei-Song Author-X-Name-Last: Zhong Author-Name: Guo-Ping Liu Author-X-Name-First: Guo-Ping Author-X-Name-Last: Liu Author-Name: David Rees Author-X-Name-First: David Author-X-Name-Last: Rees Title: Global bounded consensus of multi-agent systems with non-identical nodes and communication time-delay topology Abstract: This article investigates the global bounded consensus problem of networked multi-agent systems exhibiting nonlinear, non-identical node dynamics with communication time-delays. Globally bounded consensus conditions for both delay-independent and delay-dependent conditions based on the Lypunov–Krasovskii functional method are derived. The proposed consensus criteria ensures that all agents eventually move along the desired trajectories in the sense of boundedness. The proposed consensus criteria generalises the case of identical agent dynamics to the case of non-identical agent dynamics, and many related results in this area can be viewed as special cases of the above results. We finally demonstrate the effectiveness of the theoretical results by means of a numerical simulation. Journal: International Journal of Systems Science Pages: 346-357 Issue: 2 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.601346 File-URL: http://hdl.handle.net/10.1080/00207721.2011.601346 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:2:p:346-357 Template-Type: ReDIF-Article 1.0 Author-Name: Shuli Sun Author-X-Name-First: Shuli Author-X-Name-Last: Sun Author-Name: Wendong Xiao Author-X-Name-First: Wendong Author-X-Name-Last: Xiao Title: Optimal linear estimators for systems with multiple random measurement delays and packet dropouts Abstract: This article is concerned with the optimal linear estimation problem for linear discrete-time stochastic systems with possible multiple random measurement delays and packet dropouts, where the largest random delay is limited within a known bound and packet dropouts can be infinite. A new model is constructed to describe the phenomena of multiple random delays and packet dropouts by employing some random variables of Bernoulli distribution. By state augmentation, the system with random delays and packet dropouts is transferred to a system with random parameters. Based on the new model, the least mean square optimal linear estimators including filter, predictor and smoother are easily obtained via an innovation analysis approach. The estimators are recursively computed in terms of the solutions of a Riccati difference equation and a Lyapunov difference equation. A sufficient condition for the existence of the steady-state estimators is given. An example shows the effectiveness of the proposed algorithms. Journal: International Journal of Systems Science Pages: 358-370 Issue: 2 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.601347 File-URL: http://hdl.handle.net/10.1080/00207721.2011.601347 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:2:p:358-370 Template-Type: ReDIF-Article 1.0 Author-Name: Hansheng Wu Author-X-Name-First: Hansheng Author-X-Name-Last: Wu Title: Adaptive robust stabilisation for a class of uncertain nonlinear time-delay dynamical systems Abstract: The problem of adaptive robust stabilisation is considered for a class of uncertain nonlinear dynamical systems with multiple time-varying delays. It is assumed that the upper bounds of the nonlinear delayed state perturbations are unknown and that the time-varying delays are any non-negative continuous and bounded functions which do not require that their derivatives have to be less than one. In particular, it is only required that the nonlinear uncertainties, which can also include time-varying delays, are bounded in any non-negative nonlinear functions which are not required to be known for the system designer. For such a class of uncertain nonlinear time-delay systems, a new method is presented whereby a class of continuous memoryless adaptive robust state feedback controllers with a rather simpler structure is proposed. It is also shown that the solutions of uncertain nonlinear time-delay systems can be guaranteed to be uniformly exponentially convergent towards a ball which can be as small as desired. Finally, as an application, an uncertain nonlinear time-delay ecosystem with two competing species is given to demonstrate the validity of the results. Journal: International Journal of Systems Science Pages: 371-383 Issue: 2 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.602483 File-URL: http://hdl.handle.net/10.1080/00207721.2011.602483 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:2:p:371-383 Template-Type: ReDIF-Article 1.0 Author-Name: Weiming Xiang Author-X-Name-First: Weiming Author-X-Name-Last: Xiang Author-Name: Jian Xiao Author-X-Name-First: Jian Author-X-Name-Last: Xiao Title: Finite-time stability and stabilisation for switched linear systems Abstract: In this article, the finite-time stability analysis and stabilisation for switched continuous linear system are addressed. Several sufficient conditions for finite-time boundness and stability of switched system are proposed in this article. By comparing the proposed results, it is shown that more the information about the switching signal is known, less conservative results can be derived. Then, based on the finite-time stability analysis results, static state and dynamic output feedback controllers are designed to finite-time stabilise switched linear systems. Several numerical examples are given to illustrate the proposed results within this article. Journal: International Journal of Systems Science Pages: 384-400 Issue: 2 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.604738 File-URL: http://hdl.handle.net/10.1080/00207721.2011.604738 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:2:p:384-400 Template-Type: ReDIF-Article 1.0 Author-Name: Xiongfeng Deng Author-X-Name-First: Xiongfeng Author-X-Name-Last: Deng Author-Name: Xiuxia Sun Author-X-Name-First: Xiuxia Author-X-Name-Last: Sun Author-Name: Ri Liu Author-X-Name-First: Ri Author-X-Name-Last: Liu Author-Name: Shuguang Liu Author-X-Name-First: Shuguang Author-X-Name-Last: Liu Title: Consensus control of leader-following nonlinear multi-agent systems with distributed adaptive iterative learning control Abstract: This paper addresses the consensus problem of leader-following nonlinear multi-agent systems with iterative learning control. The assumption that only a small portion of following agents can receive the information of leader agent is considered. To approximate the nonlinear dynamics of a given system, the radial basis function neural network is introduced. Then, a distributed adaptive iterative learning control protocol with an auxiliary control term is designed, where the estimates of nonlinear dynamics are applied in control protocol design and three adaptive laws are presented. Furthermore, the convergence of the proposed control protocol is analysed by Lyapunov stability theory. Finally, a simulation example is provided to demonstrate the validity of theoretical results. Journal: International Journal of Systems Science Pages: 3247-3260 Issue: 16 Volume: 49 Year: 2018 Month: 12 X-DOI: 10.1080/00207721.2018.1535677 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1535677 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:16:p:3247-3260 Template-Type: ReDIF-Article 1.0 Author-Name: Jinjin Liu Author-X-Name-First: Jinjin Author-X-Name-Last: Liu Author-Name: Ning Li Author-X-Name-First: Ning Author-X-Name-Last: Li Author-Name: Zhiqiang Li Author-X-Name-First: Zhiqiang Author-X-Name-Last: Li Title: Controller synthesis for switched positive linear systems by output feedback Abstract: The output-feedback controller synthesis issue for a class of continuous-time switched linear systems via average dwell time switching with constrained controls and output is addressed. First, we focus on the output-feedback stabilisation by decomposing control gain matrix. Second, the stabilisation problem with sign-restricted controls while imposing positivity and stability on closed-loop system is solved, then the results extend to asymmetrically bounded controls and constrained outputs. All the derived conditions are formulated as linear programming. Finally, numerical examples are given to show the applicability of the proposed methods. Journal: International Journal of Systems Science Pages: 3261-3271 Issue: 16 Volume: 49 Year: 2018 Month: 12 X-DOI: 10.1080/00207721.2018.1536232 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1536232 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:16:p:3261-3271 Template-Type: ReDIF-Article 1.0 Author-Name: Yu Lin Author-X-Name-First: Yu Author-X-Name-Last: Lin Author-Name: Yu Zhang Author-X-Name-First: Yu Author-X-Name-Last: Zhang Title: Exponential stability of impulsive discrete-time systems with infinite delays Abstract: This paper investigates the exponential stability of impulsive discrete-time systems with infinite delays. Some sufficient conditions are obtained to guarantee the exponential stability of the considered systems by employing Lyapunov functions together with Razumikhin technique. Finally, three numerical examples are given to illustrate the effectiveness and superiority of the obtained results. It is the first time that the exponential stability of impulsive discrete-time systems with infinite delays is studied, the obtained results complement some recent works. Journal: International Journal of Systems Science Pages: 3272-3283 Issue: 16 Volume: 49 Year: 2018 Month: 12 X-DOI: 10.1080/00207721.2018.1536233 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1536233 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:16:p:3272-3283 Template-Type: ReDIF-Article 1.0 Author-Name: Navid Vafamand Author-X-Name-First: Navid Author-X-Name-Last: Vafamand Author-Name: S. Vahid Naghavi Author-X-Name-First: S. Vahid Author-X-Name-Last: Naghavi Author-Name: Ali Akbar Safavi Author-X-Name-First: Ali Akbar Author-X-Name-Last: Safavi Author-Name: Alireza Khayatian Author-X-Name-First: Alireza Author-X-Name-Last: Khayatian Author-Name: Mohammad Hassan Khooban Author-X-Name-First: Mohammad Hassan Author-X-Name-Last: Khooban Author-Name: Tomislav Dragičević Author-X-Name-First: Tomislav Author-X-Name-Last: Dragičević Title: TS-based sampled-data model predictive controller for continuous-time nonlinear systems Abstract: This paper proposes a new fuzzy model predictive control approach for continuous-time nonlinear systems in terms of linear matrix inequalities (LMIs). The proposed approach is based on the Takagi–Sugeno fuzzy modeling, a quadratic Lyapunov function, and a sampled-data parallel distributed compensation controller with constant sampling time. The goal is designing the sampled-data controller such that at each sampling time, the stability of the closed-loop system is guaranteed and an infinite horizon cost function is minimised. The main advantage of the proposed approach is to eliminate the approximations induced from discretizing the original system and cost function upper bound minimisation. Consequently, a lower bound of the cost function is obtained and the performance of the proposed model predictive controller is improved compared to the recently published papers in the same field of interest. In addition, the Euclidean norm constraint of the control input vector is derived in terms of LMIs. To illustrate the merits of the proposed approach, the proposed technique is applied to a continuous stirred tank reactor system. Journal: International Journal of Systems Science Pages: 3284-3295 Issue: 16 Volume: 49 Year: 2018 Month: 12 X-DOI: 10.1080/00207721.2018.1536234 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1536234 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:16:p:3284-3295 Template-Type: ReDIF-Article 1.0 Author-Name: Yingqi Zhang Author-X-Name-First: Yingqi Author-X-Name-Last: Zhang Author-Name: Yang Yang Author-X-Name-First: Yang Author-X-Name-Last: Yang Author-Name: Peng Shi Author-X-Name-First: Peng Author-X-Name-Last: Shi Author-Name: Jeng-Shyang Pan Author-X-Name-First: Jeng-Shyang Author-X-Name-Last: Pan Title: Finite-time boundedness of Markovain jump nonlinear systems with incomplete information Abstract: This paper deals with the finite-time $ H_{\infty } $ H∞ bounded control problem of a class of uncertain Markovian jump nonlinear systems with partially unknown transition probabilities and norm-bounded disturbances. The purpose of the paper is to derive a stochastic finite-time controller such that the resulting nominal or uncertain stochastic nonlinear model is stochastically finite-time $ H_{\infty } $ H∞ bounded by applying stochastic analysis techniques and free connection weighting matrix approach. We also provide stochastic finite-time stability and stochastic finite-time boundedness criteria of the class of nominal or uncertain stochastic nonlinear dynamics. Moreover, the derived criteria can be simplified into linear matrix inequalities (LMIs), which could be solved by employing Matlab LMI toolbox. Finally, the effectiveness of proposed approaches is demonstrated by a practical example. Journal: International Journal of Systems Science Pages: 3296-3306 Issue: 16 Volume: 49 Year: 2018 Month: 12 X-DOI: 10.1080/00207721.2018.1536235 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1536235 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:16:p:3296-3306 Template-Type: ReDIF-Article 1.0 Author-Name: Ismail Er Rachid Author-X-Name-First: Ismail Er Author-X-Name-Last: Rachid Author-Name: Redouane Chaibi Author-X-Name-First: Redouane Author-X-Name-Last: Chaibi Author-Name: El Houssaine Tissir Author-X-Name-First: El Houssaine Author-X-Name-Last: Tissir Author-Name: Abdelaziz Hmamed Author-X-Name-First: Abdelaziz Author-X-Name-Last: Hmamed Title: Observer-based control with finite frequency specifications for discrete-time T–S fuzzy systems Abstract: This paper deals with the design problem of observer-based $ H_{\infty } $ H∞ control in finite frequency (FF) domain for discrete-time Takagi–Sugeno (T–S) fuzzy systems. With the aid of Generalised Kalman–Yakubovi $ \breve {c} $ c˘–Popov (GKYP) lemma, new conditions guaranteeing the FF $ H_{\infty } $ H∞ performance of the T–S fuzzy systems are derived in terms of Linear Matrix Inequalities. This study reduces the conservativeness of the existing design of the entire frequency range and includes it as special case. In the end, some examples are provided to illustrate the effectiveness of the proposed strategy. Journal: International Journal of Systems Science Pages: 3307-3319 Issue: 16 Volume: 49 Year: 2018 Month: 12 X-DOI: 10.1080/00207721.2018.1536236 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1536236 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:16:p:3307-3319 Template-Type: ReDIF-Article 1.0 Author-Name: Yaowei Sun Author-X-Name-First: Yaowei Author-X-Name-Last: Sun Author-Name: Jun Zhao Author-X-Name-First: Jun Author-X-Name-Last: Zhao Title: Robust control for a class of state-constrained high-order switched nonlinear systems with unstable subsystems Abstract: This paper addresses the issue of robust stabilisation for a class of state-constrained high-order switched nonlinear systems whose subsystems are allowed to be all unstabilizable. A novel robust control scheme is established based on effective coupling of the technique of adding a power integrator and the method of multiple barrier Lyapunov functions. Explicitly, a sufficient condition for robustly stabilising the resulting closed-loop system in a domain is presented, which meanwhile can also guarantee that the violation of the constraints does not happen. Moreover, in the switching law design, we do not require the connection of barrier Lyapunov functions for two adjacent subsystems, and even a certain amount of jump is also allowed. Finally, the effectiveness of the provided control strategy is demonstrated via a simulation example. Journal: International Journal of Systems Science Pages: 3320-3331 Issue: 16 Volume: 49 Year: 2018 Month: 12 X-DOI: 10.1080/00207721.2018.1536768 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1536768 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:16:p:3320-3331 Template-Type: ReDIF-Article 1.0 Author-Name: Xue Li Author-X-Name-First: Xue Author-X-Name-Last: Li Author-Name: Zhiyong Geng Author-X-Name-First: Zhiyong Author-X-Name-Last: Geng Title: A novel trajectory planning-based adaptive control method for 3-D overhead cranes Abstract: A three-dimensional (3-D) overhead crane is a complicated nonlinear underactuated mechanical system, for which high-speed positioning and anti-sway control are the kernel objective. Existing trajectory-based methods for 3-D overhead cranes focus on combining efficient and smooth trajectories with anti-sway tracking controllers without regard for payload motion; moreover, the exact value of plant parameters is required for accurate compensation during the control process. Motivated by these facts, we present a two-step design tracking strategy which consists of a trajectory planning stage and an adaptive tracking control design stage for 3-D overhead cranes. As shown by Lyapunov techniques and Barbalat's Lemma, the proposed controller guarantees asymptotic swing elimination and trolley positioning result in the presence of system uncertainties including unknown parameters and external disturbances. Simulation results also showed the applicability of the proposed method with good robustness against parameter uncertainties and external disturbances. Journal: International Journal of Systems Science Pages: 3332-3345 Issue: 16 Volume: 49 Year: 2018 Month: 12 X-DOI: 10.1080/00207721.2018.1537412 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1537412 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:16:p:3332-3345 Template-Type: ReDIF-Article 1.0 Author-Name: Lin Shi Author-X-Name-First: Lin Author-X-Name-Last: Shi Author-Name: Guiling Chen Author-X-Name-First: Guiling Author-X-Name-Last: Chen Author-Name: Shouming Zhong Author-X-Name-First: Shouming Author-X-Name-Last: Zhong Author-Name: Xiliang Li Author-X-Name-First: Xiliang Author-X-Name-Last: Li Author-Name: Wenqin Wang Author-X-Name-First: Wenqin Author-X-Name-Last: Wang Title: Lag synchronisation of master–slave dynamical systems via intermittent control Abstract: In this paper, the problem on lag synchronisation is investigated for a master–slave model. The intermittent control method is used to design controllers, lag synchronisation criteria are proposed. Together with some Lyapunov–Krasovskii functionals and effective mathematical techniques, several conditions are derived. An example is given to illustrate the effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 3346-3353 Issue: 16 Volume: 49 Year: 2018 Month: 12 X-DOI: 10.1080/00207721.2018.1538433 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1538433 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:16:p:3346-3353 Template-Type: ReDIF-Article 1.0 Author-Name: M. Syed Ali Author-X-Name-First: M. Author-X-Name-Last: Syed Ali Author-Name: N. Gunasekaran Author-X-Name-First: N. Author-X-Name-Last: Gunasekaran Author-Name: R. Agalya Author-X-Name-First: R. Author-X-Name-Last: Agalya Author-Name: Young Hoon Joo Author-X-Name-First: Young Hoon Author-X-Name-Last: Joo Title: Non-fragile synchronisation of mixed delayed neural networks with randomly occurring controller gain fluctuations Abstract: This study is concerned with the problem of non fragile synchronisation of mixed delayed neural networks with randomly occurring controller gain fluctuations. By using a novel mathematical approach and considering the neuron activation functions, improved delay-dependent stability results are formulated in terms of linear matrix inequalities (LMIs). An augmented new Lyapunov-Krasovskii functional (LKF) that contains double and triple integral terms is constructed to ensure the asymptotic stability of the error system which guarantees the master system synchronise with the slave system. Finally, numerical examples are provided to show the effectiveness of the proposed theoretical results. Journal: International Journal of Systems Science Pages: 3354-3364 Issue: 16 Volume: 49 Year: 2018 Month: 12 X-DOI: 10.1080/00207721.2018.1540730 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1540730 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:16:p:3354-3364 Template-Type: ReDIF-Article 1.0 Author-Name: Lijia Cao Author-X-Name-First: Lijia Author-X-Name-Last: Cao Author-Name: Yongchao Wang Author-X-Name-First: Yongchao Author-X-Name-Last: Wang Author-Name: Shengxiu Zhang Author-X-Name-First: Shengxiu Author-X-Name-Last: Zhang Author-Name: Tan Fei Author-X-Name-First: Tan Author-X-Name-Last: Fei Title: Command-filtered sensor-based backstepping controller for small unmanned aerial vehicles with actuator dynamics Abstract: In this study, a command-filtered sensor-based backstepping controller is proposed for small unmanned aerial vehicles (UAVs) with actuator dynamics. The command filter is introduced to prompt the virtual control law to be limited in a certain range and the corresponding state to subsequently be restricted to a certain area. When using the sensor-based backstepping recursive method, precise models of the UAVs are not required because the controller is not sensitive to the external disturbance. The actuator dynamics are compensated without prior knowledge of the mathematical model of the executing agency. Besides, a robust compensator is developed for the virtual control law of the first subsystem of the UAV, which shows strong robustness against the uncertainties of the aerodynamic coefficients and external disturbances. Moreover, the closed-loop system is proven stable in the sense that the signals are bounded. A numerical simulation is carried out to verify the effectiveness of the developed controller. Journal: International Journal of Systems Science Pages: 3365-3376 Issue: 16 Volume: 49 Year: 2018 Month: 12 X-DOI: 10.1080/00207721.2018.1540731 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1540731 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:16:p:3365-3376 Template-Type: ReDIF-Article 1.0 Author-Name: Yifei Ma Author-X-Name-First: Yifei Author-X-Name-Last: Ma Author-Name: Wei Wu Author-X-Name-First: Wei Author-X-Name-Last: Wu Author-Name: Baotong Cui Author-X-Name-First: Baotong Author-X-Name-Last: Cui Title: Event-triggered feedback control for discrete-time piecewise-affine systems Abstract: In this paper, the problem of event-triggered control for discrete-time piecewise-affine system is investigated. An optimisation problem for minimising the upper bound of quadratic cost function for quantifying the control performance is formulated in the form of linear matrix inequalities (LMIs). The unique state-feedback control gain under the event-triggered strategy can be obtained by solving the LMIs optimisation problems. Comparisons by the simulations are given to demonstrate the advantages of the proposed approach, where the number of control input updates is reduced, while the control performance is still guaranteed. Journal: International Journal of Systems Science Pages: 3377-3389 Issue: 16 Volume: 49 Year: 2018 Month: 12 X-DOI: 10.1080/00207721.2018.1541262 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1541262 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:16:p:3377-3389 Template-Type: ReDIF-Article 1.0 Author-Name: Sang Young Oh Author-X-Name-First: Sang Young Author-X-Name-Last: Oh Author-Name: Ho Lim Choi Author-X-Name-First: Ho Lim Author-X-Name-Last: Choi Title: Robust optimal control during feedback disruption for nonlinear systems controlled by an observer-based output feedback controller Abstract: In this paper, a robust optimal control problem during feedback disruption is considered for a class of nonlinear systems which have been controlled by an observer-based output feedback controller. It is shown that during feedback disruption, there exists an optimal control input which keeps both system states and observer errors within a specified bound for the longest time. Then, it is shown that such an optimal control input can be practically implemented by using a bang-bang control input in terms of control performance. One numerical and one practical examples are given for clear illustration. Journal: International Journal of Systems Science Pages: 3390-3405 Issue: 16 Volume: 49 Year: 2018 Month: 12 X-DOI: 10.1080/00207721.2018.1541263 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1541263 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:16:p:3390-3405 Template-Type: ReDIF-Article 1.0 Author-Name: Dingli Hua Author-X-Name-First: Dingli Author-X-Name-Last: Hua Author-Name: Weiqun Wang Author-X-Name-First: Weiqun Author-X-Name-Last: Wang Author-Name: Juan Yao Author-X-Name-First: Juan Author-X-Name-Last: Yao Title: Finite-region dissipative control for 2-D systems in the Roesser model Abstract: This paper investigates the finite-region dissipative control of two-dimensional (2-D) linear discrete-time Roesser model. Firstly, we define a concept of finite-region $ (Q,S,R) $ (Q,S,R)-μ-dissipativity. Then, by using Lyapunov function and establishing special recursive formulas, a new sufficient condition with a simpler form is formulated which ensures the resulting closed-loop system is finite-region bounded. Based on this, we propose the sufficient condition for finite-region $ (Q,S,R) $ (Q,S,R)-μ-dissipativity of closed-loop system. Furthermore, the sufficient condition that can be verified by linear matrix inequalities (LMIs) for designing the finite-region $ (Q,S,R) $ (Q,S,R)-μ-dissipative state-feedback controller is given. Moreover, the finite-region passive control, finite-region $ H_\infty $ H∞ control and mixed finite-region passive and $ H_{\infty } $ H∞ control can be obtained as the special cases from the established result. Finally, numerical examples are presented to display the effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 3406-3417 Issue: 16 Volume: 49 Year: 2018 Month: 12 X-DOI: 10.1080/00207721.2018.1542043 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1542043 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:16:p:3406-3417 Template-Type: ReDIF-Article 1.0 Author-Name: Xuxi Zhang Author-X-Name-First: Xuxi Author-X-Name-Last: Zhang Author-Name: Frank L. Lewis Author-X-Name-First: Frank L. Author-X-Name-Last: Lewis Title: Cooperative output regulation of heterogeneous multi-agent systems based on passivity Abstract: This paper investigates the problem of cooperative output regulation of heterogeneous linear multi-agent systems. A passive framework is presented for the stabilisation analysis of cooperative output regulation, which can overcome the difficulty caused by the fact that the global dynamics of heterogeneous multi-agent systems depends on the global communication structure. An adaptive distributed observer is proposed to estimate the state of the exosystem, and the proposed distributed observer is independent of any global information of the communication graph. Based on passivity design and adaptive distributed observer, both a distributed state feedback and a distributed output feedback protocol are designed for output synchronisation of heterogeneous multi-agent systems. The gain matrices of the distributed protocols and observers are obtained by a Riccati equation design approach. Furthermore, sufficient local conditions for solving the problem of cooperative output regulation of heterogeneous multi-agent systems are presented. Finally, numerical simulation results are given to illustrate the effectiveness of the proposed distributed control schemes. Journal: International Journal of Systems Science Pages: 3418-3430 Issue: 16 Volume: 49 Year: 2018 Month: 12 X-DOI: 10.1080/00207721.2018.1542044 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1542044 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:16:p:3418-3430 Template-Type: ReDIF-Article 1.0 Author-Name: Yuefei Wu Author-X-Name-First: Yuefei Author-X-Name-Last: Wu Author-Name: Dong Yue Author-X-Name-First: Dong Author-X-Name-Last: Yue Title: Prescribed performance global stable adaptive neural dynamic surface consensus tracking control of stochastic multi-agent systems with hysteresis inputs and nonlinear dynamics Abstract: This paper focuses on the leader-following consensus control problem of stochastic multi-agent systems with hysteresis inputs and nonlinear dynamics. A leader-following consensus scheme is presented for stochastic multi-agent systems directions under directed graphs, which can achieve predefined synchronisation error bounds. By mainly activating an auxiliary robust control component for pulling back the transient escaped from the neural active region, a multi-switching robust neuro adaptive controller in the neural approximation domain, which can achieve globally uniformly ultimately bounded tracking stability of multi-agent systems recently. A specific Nussbaum-type function is introduced to solve the problem of unknown control directions. Using a dynamic surface control technique, distributed consensus controllers are developed to guarantee that the outputs of all followers synchronise with that of the leader with prescribed performance. Based on Lyapunov stability theory, it is proved that all signals in closed-loop systems are uniformly ultimately bounded and all the follower agents can keep consensus with the leader. Two simulation examples are provided to illustrate the effectiveness and advantage of the proposed control scheme. Journal: International Journal of Systems Science Pages: 3431-3447 Issue: 16 Volume: 49 Year: 2018 Month: 12 X-DOI: 10.1080/00207721.2018.1542464 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1542464 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:16:p:3431-3447 Template-Type: ReDIF-Article 1.0 Author-Name: Zhifeng Qiu Author-X-Name-First: Zhifeng Author-X-Name-Last: Qiu Author-Name: Xintao Zhao Author-X-Name-First: Xintao Author-X-Name-Last: Zhao Author-Name: Siming Li Author-X-Name-First: Siming Author-X-Name-Last: Li Author-Name: Yongfang Xie Author-X-Name-First: Yongfang Author-X-Name-Last: Xie Author-Name: Chaoyang Chen Author-X-Name-First: Chaoyang Author-X-Name-Last: Chen Author-Name: Weihua Gui Author-X-Name-First: Weihua Author-X-Name-Last: Gui Title: Finite-time formation of multiple agents based on multiple virtual leaders Abstract: The finite-time formation problem of multiple agents aims to find a control protocol to guarantee finite-time consensus, in which every agent can be in the right position and keep in the given formation configuration efficiently. However, it is hard to achieve a stable state if only by setting one virtual leader in multiple tasks system. This paper presents a formation controller design for a second-order multiple agents to address the finite-time formation problem. In the procedure, each agent has a virtual leader, and then a control law is designed so that the agents can keep pace with their virtual leaders in terms of speed and position. Accordingly, the controller can ensure that the relative positions among different agents and the trajectory of the whole formation can be specified in advance. Moreover, since the closed-loop system is finite-time stable, which implies that the required formation is attainable without a deviation in finite time. Finally, the stability analysis is proved by applying the graph theory, Lyapunov stability theory and homogeneous system theory. The effectiveness of the algorithm is demonstrated by numerical simulations. Journal: International Journal of Systems Science Pages: 3448-3458 Issue: 16 Volume: 49 Year: 2018 Month: 12 X-DOI: 10.1080/00207721.2018.1542754 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1542754 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:16:p:3448-3458 Template-Type: ReDIF-Article 1.0 Author-Name: Ali Safaei Author-X-Name-First: Ali Author-X-Name-Last: Safaei Author-Name: Muhammad Nasiruddin Mahyuddin Author-X-Name-First: Muhammad Nasiruddin Author-X-Name-Last: Mahyuddin Title: A solution for the cooperative formation-tracking problem in a network of completely unknown nonlinear dynamic systems without relative position information Abstract: In this paper, a solution of the formation-tracking problem is provided for a network that contains nonlinear agents with completely unknown dynamics and working under unknown disturbances. By the combination of a cooperative observer and an adaptive model-free controller, the requirement of inter-agent relative position information in the network is eliminated. Here, a cooperative observer is designed to estimate the time-varying reference trajectory and the time-varying parameters of the desired formation topology at each agent in the network. The stability of the proposed cooperative observer is analysed using Lyapunov analysis. Utilising the cooperative observer, the formation-tracking problem in the network of dynamic agents is transformed to a tracking problem in a single agent system. Moreover, an adaptive model-free control policy is applied to each agent for providing the tracking objective. Utilising the algebraic connectivity originating from graph theory, this model-free control algorithm is formulated to scale-up for a network of multi-agents. The proposed decentralised controller includes two model-free adaptive laws for online estimating of the completely unknown dynamics at each agent in the network. The application of the proposed solution is simulated for a network of four quadrotors with unknown internal dynamics and unknown external disturbances. Journal: International Journal of Systems Science Pages: 3459-3475 Issue: 16 Volume: 49 Year: 2018 Month: 12 X-DOI: 10.1080/00207721.2018.1542755 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1542755 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:16:p:3459-3475 Template-Type: ReDIF-Article 1.0 Author-Name: A. H. Tahoun Author-X-Name-First: A. H. Author-X-Name-Last: Tahoun Title: Less-conservative robust adaptive control of neutral systems with mixed time-delays Abstract: In this paper, the problem of robust stabilisation of a class of neutral-type uncertain linear systems via adaptive control approach is investigated. The neutral systems are assumed to be subjected to model uncertainties, disturbances and mixed time-delays. In comparison to the previous work in the literature, with the assumption that the states of the system and the delayed-states of the system with its derivatives are completely accessible, a new and less-conservative robust adaptive control algorithm is proposed. Based on Lyapunov–Krasovskii function, the model uncertainties and the disturbances are compensated and the stability of the uncertain neutral-type system is guaranteed. The tracking problem via model reference adaptive control is also considered. The most important characteristic of the proposed approach is to make the overall system stability constraints depend on desired arbitrary matrices, and not on the practical system matrices. This is achieved by means of adaptation techniques. Finally, three illustrative examples with numerical simulations are carried out to indicate the significant improvements over some existing results. Journal: International Journal of Systems Science Pages: 675-685 Issue: 4 Volume: 48 Year: 2017 Month: 3 X-DOI: 10.1080/00207721.2016.1206987 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1206987 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:675-685 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaohui Xu Author-X-Name-First: Xiaohui Author-X-Name-Last: Xu Author-Name: Jiye Zhang Author-X-Name-First: Jiye Author-X-Name-Last: Zhang Author-Name: Jizhong Shi Author-X-Name-First: Jizhong Author-X-Name-Last: Shi Title: Dynamical behaviour analysis of delayed complex-valued neural networks with impulsive effect Abstract: This paper investigates the problem of the dynamical behaviours of a class of complex-valued neural networks with mixed time delays and impulsive effect. By separating the complex-valued neural networks into the real and the imaginary parts, the corresponding equivalent real-valued systems are obtained. Some sufficient conditions are derived for assuring the exponential stability of the equilibrium point of the system based on the vector Lyapunov function method and mathematical induction method. The obtained results generalise the existing ones. Finally, two numerical examples with simulations are given to demonstrate the feasibility of the proposed results. Journal: International Journal of Systems Science Pages: 686-694 Issue: 4 Volume: 48 Year: 2017 Month: 3 X-DOI: 10.1080/00207721.2016.1206988 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1206988 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:686-694 Template-Type: ReDIF-Article 1.0 Author-Name: Toshio Yoshimura Author-X-Name-First: Toshio Author-X-Name-Last: Yoshimura Title: Direct adaptive fuzzy backstepping control for uncertain discrete-time nonlinear systems using noisy measurements Abstract: This paper presents a direct adaptive fuzzy backstepping control (AFBC) for multi-input multi-output uncertain discrete-time nonlinear systems. It is assumed that the systems are described by a discrete-time state equation with uncertainties to be viewed as the modelling errors and the unknown external disturbances, and the observation of the states is taken with independent measurement noises. The proposed direct AFBC is presented as follows. The proposed direct AFBC is assumed to be the fuzzy logic system by removing the explosion of complexity problem due to repeated computation of nonlinear functions at the first stage. Second, the number of the adjustable parameters is reduced by the fuzzy inference approach based on the extended single input rule modules. Third, the simplified weighted least squares estimator is constructed by reducing the computational burden of the estimation for the unmeasurable states and the adjustable parameters. The effectiveness of the proposed direct AFBC is illustrated through the simulation experiment of a simple numerical system. Journal: International Journal of Systems Science Pages: 695-704 Issue: 4 Volume: 48 Year: 2017 Month: 3 X-DOI: 10.1080/00207721.2016.1206990 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1206990 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:695-704 Template-Type: ReDIF-Article 1.0 Author-Name: Xin-Rong Yang Author-X-Name-First: Xin-Rong Author-X-Name-Last: Yang Author-Name: Guo-Ping Liu Author-X-Name-First: Guo-Ping Author-X-Name-Last: Liu Title: Admissible consensus for networked singular multi-agent systems with communication delays Abstract: This study concerns the admissible consensus problem for networked singular multi-agent systems with communication delays and agents described by general singular systems. Only the information of outputs is available through the network. An observer-based networked predictive control scheme (NPCS) is employed to compensate for the communication delays actively. Based on NPCS and dynamic compensator (dynamic output feedback), a novel protocol is proposed. Based on graph, algebra and singular system theory, the necessary and sufficient conditions are given to guarantee existence of the proposed protocol. The conditions depend on the topologies of singular multi-agent systems and the structure properties of each agent dynamics. Moreover, a consensus algorithm is provided to design the predictive protocol. A numerical example demonstrates the effectiveness of compensation for networked delays. Journal: International Journal of Systems Science Pages: 705-714 Issue: 4 Volume: 48 Year: 2017 Month: 3 X-DOI: 10.1080/00207721.2016.1206991 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1206991 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:705-714 Template-Type: ReDIF-Article 1.0 Author-Name: J. Zhou Author-X-Name-First: J. Author-X-Name-Last: Zhou Author-Name: H. M. Qian Author-X-Name-First: H. M. Author-X-Name-Last: Qian Title: Pointwise frequency responses framework for stability analysis in periodically time-varying systems Abstract: This paper explicates a pointwise frequency-domain approach for stability analysis in periodically time-varying continuous systems, by employing piecewise linear time-invariant (PLTI) models defined via piecewise-constant approximation and their frequency responses. The PLTI models are piecewise LTI state-space expressions, which provide theoretical and numerical conveniences in the frequency-domain analysis and synthesis. More precisely, stability, controllability and positive realness of periodically time-varying continuous systems are examined by means of PLTI models; then their pointwise frequency responses (PFR) are connected to stability analysis. Finally, Nyquist-like and circle-like criteria are claimed in terms of PFR's for asymptotic stability, finite-gain Lp-stability and uniformly boundedness, respectively, in linear feedbacks and nonlinear Luré connections. The suggested stability conditions have explicit and direct matrix expressions, where neither Floquet factorisations of transition matrices nor open-loop unstable poles are involved, and their implementation can be graphical and numerical. Illustrative studies are sketched to show applications of the main results. Journal: International Journal of Systems Science Pages: 715-728 Issue: 4 Volume: 48 Year: 2017 Month: 3 X-DOI: 10.1080/00207721.2016.1212430 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1212430 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:715-728 Template-Type: ReDIF-Article 1.0 Author-Name: I. Ivanov Author-X-Name-First: I. Author-X-Name-Last: Ivanov Author-Name: Lars Imsland Author-X-Name-First: Lars Author-X-Name-Last: Imsland Author-Name: B. Bogdanova Author-X-Name-First: B. Author-X-Name-Last: Bogdanova Title: Iterative algorithms for computing the feedback Nash equilibrium point for positive systems Abstract: The paper studies N-player linear quadratic differential games on an infinite time horizon with deterministic feedback information structure. It introduces two iterative methods (the Newton method as well as its accelerated modification) in order to compute the stabilising solution of a set of generalised algebraic Riccati equations. The latter is related to the Nash equilibrium point of the considered game model. Moreover, we derive the sufficient conditions for convergence of the proposed methods. Finally, we discuss two numerical examples so as to illustrate the performance of both of the algorithms. Journal: International Journal of Systems Science Pages: 729-737 Issue: 4 Volume: 48 Year: 2017 Month: 3 X-DOI: 10.1080/00207721.2016.1212431 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1212431 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:729-737 Template-Type: ReDIF-Article 1.0 Author-Name: Yuqing Hao Author-X-Name-First: Yuqing Author-X-Name-Last: Hao Author-Name: Zhisheng Duan Author-X-Name-First: Zhisheng Author-X-Name-Last: Duan Title: Structured output-feedback controller synthesis with design specifications Abstract: This paper considers the problem of structured output-feedback controller synthesis with finite frequency specifications. Based on the orthogonal space information of input matrix, an improved parameter-dependent Lyapunov function method is first proposed. Then, a two-stage construction method is designed, which depends on an initial centralised controller. Corresponding design conditions for three types of output-feedback controllers are presented in terms of unified representations. Moreover, heuristic algorithms are provided to explore the desirable controllers. Finally, the effectiveness of these proposed methods is illustrated via some practical examples. Journal: International Journal of Systems Science Pages: 738-749 Issue: 4 Volume: 48 Year: 2017 Month: 3 X-DOI: 10.1080/00207721.2016.1212432 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1212432 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:738-749 Template-Type: ReDIF-Article 1.0 Author-Name: Haitao Li Author-X-Name-First: Haitao Author-X-Name-Last: Li Author-Name: Yuzhen Wang Author-X-Name-First: Yuzhen Author-X-Name-Last: Wang Title: Robust stability and stabilisation of Boolean networks with disturbance inputs Abstract: This paper deals with the problems of robust stability analysis and robust stabilisation control design for Boolean networks with disturbance inputs. The main tool used in this paper is the semi-tensor product of matrices. First, a necessary and sufficient condition is presented for the robust stability of Boolean networks based on the algebraic representation of Boolean networks with disturbance inputs. Second, the concept of one-step robust reachability is defined for Boolean control networks (BCNs) with disturbance inputs, based on which a constructive procedure is proposed for the robust stabilisation control design of BCNs. The study of an illustrative example demonstrates the effectiveness of the obtained new results. Journal: International Journal of Systems Science Pages: 750-756 Issue: 4 Volume: 48 Year: 2017 Month: 3 X-DOI: 10.1080/00207721.2016.1212433 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1212433 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:750-756 Template-Type: ReDIF-Article 1.0 Author-Name: Chuanlin Zhang Author-X-Name-First: Chuanlin Author-X-Name-Last: Zhang Author-Name: Jun Yang Author-X-Name-First: Jun Author-X-Name-Last: Yang Title: Semi-global sampled-data output feedback disturbance rejection control for a class of uncertain nonlinear systems Abstract: This paper investigates the semi-global output feedback disturbance rejection control problem for a class of uncertain nonlinear systems with additive disturbances using linear sampled-data control. Aiming to reject the adverse effects caused by the uncertainties and unknown nonlinear perturbations which may not satisfy the strict feedback or feedforward structure, a new generalised discrete-time extended state observer is proposed to estimate the disturbance at sampling points. An output feedback disturbance rejection control law is then constructed in a sampled-data form which facilitates digital implementations. By selecting adequate control gains and a sufficiently small sampling period to restrain the state growth under a zero-order-hold input, the semi-global asymptotic stability of the hybrid closed-loop system and the disturbance rejection ability are proved. Both numerical example and an application of a single-link robot arm system demonstrate the feasibility and efficacy of the proposed method. Journal: International Journal of Systems Science Pages: 757-768 Issue: 4 Volume: 48 Year: 2017 Month: 3 X-DOI: 10.1080/00207721.2016.1212434 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1212434 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:757-768 Template-Type: ReDIF-Article 1.0 Author-Name: Xiushan Cai Author-X-Name-First: Xiushan Author-X-Name-Last: Cai Author-Name: Linling Liao Author-X-Name-First: Linling Author-X-Name-Last: Liao Author-Name: Yang Liu Author-X-Name-First: Yang Author-X-Name-Last: Liu Author-Name: Cong Lin Author-X-Name-First: Cong Author-X-Name-Last: Lin Title: Predictor-based stabilisation for discrete nonlinear systems with state-dependent input delays Abstract: We consider predictor-based stabilisation for discrete nonlinear systems with state-dependent input delays. The key design is how to determine the prediction horizon and the predictor state. Sufficient conditions for stabilisation of the closed-loop system are obtained. An explicit feedback law is presented for compensating state-dependent input delay. Since input delay is dependent on state, a region of attraction is estimated for the closed-loop system. The proposed predictor-based design can be applied in controlling the yaw angular displacement of a four-rotor mini-helicopter. Journal: International Journal of Systems Science Pages: 769-777 Issue: 4 Volume: 48 Year: 2017 Month: 3 X-DOI: 10.1080/00207721.2016.1212435 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1212435 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:769-777 Template-Type: ReDIF-Article 1.0 Author-Name: Guangchen Zhang Author-X-Name-First: Guangchen Author-X-Name-Last: Zhang Author-Name: Weiqun Wang Author-X-Name-First: Weiqun Author-X-Name-Last: Wang Title: Finite-region stability and boundedness for discrete 2D Fornasini–Marchesini second models Abstract: In this paper, the concepts of finite-region stability (FRS) and finite-region boundedness (FRB) are formulated for discrete two-dimensional (2D) Fornasini–Marchesini second (FMII) models, and then the analysis methods for FRS and FRB are proposed to investigate the transient behaviour of such discrete 2D FMII models. First, by building special recursive formulas, we develop a sufficient condition which guarantees the FRS of the system under solvable linear matrix inequalities (LMIs) conditions. Next, the FRB problem is addressed for the FMII model with exogenous disturbances and the corresponding criteria and LMIs conditions are reported. Finally, we apply the proposed FRS analysis method to consider the finite-region stabilisation problem of a chemical reactor thermal process, as well as some other numerical examples, to illustrate the validity of the proposed methods. Journal: International Journal of Systems Science Pages: 778-787 Issue: 4 Volume: 48 Year: 2017 Month: 3 X-DOI: 10.1080/00207721.2016.1212436 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1212436 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:778-787 Template-Type: ReDIF-Article 1.0 Author-Name: Dorota Mozyrska Author-X-Name-First: Dorota Author-X-Name-Last: Mozyrska Author-Name: Ewa Pawłuszewicz Author-X-Name-First: Ewa Author-X-Name-Last: Pawłuszewicz Author-Name: Małgorzata Wyrwas Author-X-Name-First: Małgorzata Author-X-Name-Last: Wyrwas Title: Local observability and controllability of nonlinear discrete-time fractional order systems based on their linearisation Abstract: The concepts of local controllability and observability of nonlinear discrete-time systems with the Caputo-, Riemann–Liouville- and Grünwald–Letnikov-type h-difference fractional order operators are studied. The Implicit Function Theorem is used in order to show that the nonlinear systems are locally observable or controllable in a finite number of steps if their linear approximations are observable or controllable, respectively, in the same number of steps. Journal: International Journal of Systems Science Pages: 788-794 Issue: 4 Volume: 48 Year: 2017 Month: 3 X-DOI: 10.1080/00207721.2016.1216197 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1216197 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:788-794 Template-Type: ReDIF-Article 1.0 Author-Name: Joachim Deutscher Author-X-Name-First: Joachim Author-X-Name-Last: Deutscher Title: Robust output regulation by observer-based feedforward control Abstract: In this paper, a new method for the design of disturbance and reference feedforward controllers with disturbance observers is presented for systems, where the disturbance input location is unknown. The resulting controller achieves asymptotic tracking in the presence of the disturbances despite plant parameter variations and changing disturbance input locations, and is therefore robust. It is shown that the new controller design method is dual to Davison's approach for the application of the internal model principle. However, different from the latter one, the new design procedure allows a simple and complete prevention of controller windup by driving the disturbance observer with the saturated input. Furthermore, a straightforward separate reference channel design is possible in order to improve the tracking behaviour if the types of the reference and the disturbance signals differ. A simple example demonstrates the advantages of the new design method. Journal: International Journal of Systems Science Pages: 795-804 Issue: 4 Volume: 48 Year: 2017 Month: 3 X-DOI: 10.1080/00207721.2016.1216198 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1216198 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:795-804 Template-Type: ReDIF-Article 1.0 Author-Name: Li-Wei Li Author-X-Name-First: Li-Wei Author-X-Name-Last: Li Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Fault estimation for a class of nonlinear Markov jump systems with general uncertain transition rates Abstract: This paper addresses the problem of fault estimation for a class of nonlinear Markov jump systems with Lipschitz-type nonlinearities and general transition rates allowed to be uncertain and unknown. First, by introducing a mode-dependent intermediate variable, an intermediate estimator is proposed to estimate faults and state simultaneously. Then, a vertex separator is exploited to develop a sufficient condition for the fault estimator design in terms of linear matrix inequalities. The design guarantees the boundedness in probability of the estimation errors if the derivations of the faults are bounded. Further, it is proved that the proposed approach is less conservative than the traditional methods. Finally, examples are given to show the advantages and effectiveness of the results. Journal: International Journal of Systems Science Pages: 805-817 Issue: 4 Volume: 48 Year: 2017 Month: 3 X-DOI: 10.1080/00207721.2016.1216199 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1216199 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:805-817 Template-Type: ReDIF-Article 1.0 Author-Name: Yueqiao Han Author-X-Name-First: Yueqiao Author-X-Name-Last: Han Author-Name: Yonggui Kao Author-X-Name-First: Yonggui Author-X-Name-Last: Kao Author-Name: Cunchen Gao Author-X-Name-First: Cunchen Author-X-Name-Last: Gao Author-Name: Baoping Jiang Author-X-Name-First: Baoping Author-X-Name-Last: Jiang Title: Robust sliding mode control for uncertain discrete singular systems with time-varying delays Abstract: This paper investigates robust sliding mode control (SMC) for discrete singular systems which include time-varying delays, parameter uncertainties and nonlinear perturbations. An appropriate discrete sliding surface function is constructed such that the corresponding sliding mode dynamics are gained. By using some free-weighting matrices, a linear matrix inequality constraint is established to make sure that the closed-loop system is regular, causal and stable. Furthermore, in consideration of the improved discrete reaching condition, an SMC law is synthesised for reaching motion and the chattering can be weakened, while few existing papers focus on how to employ it to study the SMC problem for the discrete singular systems with time-varying delays. At last, the designed law is tested through an example. Journal: International Journal of Systems Science Pages: 818-827 Issue: 4 Volume: 48 Year: 2017 Month: 3 X-DOI: 10.1080/00207721.2016.1216200 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1216200 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:818-827 Template-Type: ReDIF-Article 1.0 Author-Name: Khosro Khandani Author-X-Name-First: Khosro Author-X-Name-Last: Khandani Author-Name: Vahid Johari Majd Author-X-Name-First: Vahid Johari Author-X-Name-Last: Majd Author-Name: Mahdieh Tahmasebi Author-X-Name-First: Mahdieh Author-X-Name-Last: Tahmasebi Title: Integral sliding mode control for robust stabilisation of uncertain stochastic time-delay systems driven by fractional Brownian motion Abstract: In this paper, the stability and controller design for fractional stochastic systems, i.e. stochastic systems driven by fractional Brownian motion (fBm) are investigated. A fractional infinitesimal operator is proposed for stability analysis of this class of stochastic systems and a Lyapunov-based stability criterion is established. Thereafter, the presented stability criterion is utilised to develop the sliding mode control scheme for fractional stochastic systems with state delay and time-varying uncertainties. By applying the proposed fractional infinitesimal operator, the sufficient robust stability conditions are derived in the form of linear matrix inequalities. The proposed method guarantees the reachability of the sliding surface in finite time, and the closed-loop system will be stable in probability for all Hurst indices of the fBm in the range (12,1)$({\textstyle{1 \over 2}},1)$. Finally, some simulation examples are given to illustrate the effectiveness of the proposed design method. Journal: International Journal of Systems Science Pages: 828-837 Issue: 4 Volume: 48 Year: 2017 Month: 3 X-DOI: 10.1080/00207721.2016.1216201 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1216201 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:828-837 Template-Type: ReDIF-Article 1.0 Author-Name: Liang Liu Author-X-Name-First: Liang Author-X-Name-Last: Liu Author-Name: Yifan Zhang Author-X-Name-First: Yifan Author-X-Name-Last: Zhang Title: Decentralised output-feedback control for a class of large-scale stochastic high-order upper-triangular nonlinear systems Abstract: Under the weaker conditions on the drift and diffusion terms, this paper focuses on the global decentralised output-feedback control for a class of large-scale stochastic high-order upper-triangular nonlinear systems. By introducing an appropriate coordinate transformation, the original system is transformed into an equivalent one with tunable gain. After that, by reasonably combing the homogeneous domination approach with stochastic nonlinear systems stability criterion, and skillfully choosing the low gain scale, the decentralised output-feedback controller is constructed for each subsystem to ensure that the closed-loop system is globally asymptotically stable in probability. The simulation example is given to demonstrate the effectiveness of the proposed design scheme. Journal: International Journal of Systems Science Pages: 838-848 Issue: 4 Volume: 48 Year: 2017 Month: 3 X-DOI: 10.1080/00207721.2016.1216202 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1216202 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:838-848 Template-Type: ReDIF-Article 1.0 Author-Name: Zhi-Jia Zhao Author-X-Name-First: Zhi-Jia Author-X-Name-Last: Zhao Author-Name: Yu Liu Author-X-Name-First: Yu Author-X-Name-Last: Liu Author-Name: Fang Guo Author-X-Name-First: Fang Author-X-Name-Last: Guo Author-Name: Yun Fu Author-X-Name-First: Yun Author-X-Name-Last: Fu Title: Modelling and control for a class of axially moving nonuniform system Abstract: In this paper, we deal with the active control problem for a class of axially moving system. The system is nonuniform due to the spatial-varying mass and spatiotemporally varying tension. The infinite dimensional model of the nonuniform system represented by the hybrid partial-ordinary differential equations is derived with consideration of the spatiotemporally varying distributed disturbance. To suppress the vibration of the nonuniform system, full state feedback boundary control is developed. For the case that the system states cannot be measured, output feedback boundary control is proposed by using the high-order observers for the estimation of the unmeasurable states. The disturbance observer is introduced to mitigate the effects of the boundary disturbance. With the proposed boundary control, the stability of the closed-loop nonuniform system is achieved through rigorous analysis and the uniform boundedness of the all closed-loop signals is guaranteed. Numerical simulations are performed to validate the performance of the control scheme proposed. Journal: International Journal of Systems Science Pages: 849-861 Issue: 4 Volume: 48 Year: 2017 Month: 3 X-DOI: 10.1080/00207721.2016.1217099 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1217099 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:849-861 Template-Type: ReDIF-Article 1.0 Author-Name: R. Saravanakumar Author-X-Name-First: R. Author-X-Name-Last: Saravanakumar Author-Name: M. Syed Ali Author-X-Name-First: M. Syed Author-X-Name-Last: Ali Author-Name: H. R. Karimi Author-X-Name-First: H. R. Author-X-Name-Last: Karimi Title: Robust control of uncertain stochastic Markovian jump systems with mixed time-varying delays Abstract: In this paper, robust H∞ control for a class of uncertain stochastic Markovian jump systems (SMJSs) with interval and distributed time-varying delays is investigated. The jumping parameters are modelled as a continuous-time, finite-state Markov chain. By employing the Lyapunov-Krasovskii functional and stochastic analysis theory, some novel sufficient conditions in terms of linear matrix inequalities are derived to guarantee the mean-square asymptotic stability of the equilibrium point. Numerical simulations are given to demonstrate the effectiveness and superiority of the proposed method comparing with some existing results. Journal: International Journal of Systems Science Pages: 862-872 Issue: 4 Volume: 48 Year: 2017 Month: 3 X-DOI: 10.1080/00207721.2016.1218092 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1218092 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:862-872 Template-Type: ReDIF-Article 1.0 Author-Name: Junfeng Zhang Author-X-Name-First: Junfeng Author-X-Name-Last: Zhang Author-Name: Xudong Zhao Author-X-Name-First: Xudong Author-X-Name-Last: Zhao Author-Name: Ridong Zhang Author-X-Name-First: Ridong Author-X-Name-Last: Zhang Author-Name: Shaosheng Zhou Author-X-Name-First: Shaosheng Author-X-Name-Last: Zhou Title: Dual approach to stability and stabilisation of uncertain switched positive systems Abstract: This paper addresses two kinds of dual approaches to stability and stabilisation of uncertain switched positive systems under arbitrary switching and average dwell-time switching, respectively. The uncertainties in systems refer to polytopic ones. A new parameter-dependent switched linear copositive Lyapunov function is first proposed for uncertain switched positive systems. By using the new Lyapunov function associated with arbitrary switching and average dwell-time switching, respectively, sufficient conditions for the stability of the systems are established. Two alternative stability criteria based on two kinds of dual approaches are addressed. It is shown that the alternative criteria hold for not only the primal switched positive system but also its dual system. Then, the stabilisation of primal and dual switched positive systems under arbitrary switching and average dwell-time switching is solved, respectively. All present conditions are solvable in terms of linear programming. By some comparisons with existing results, the less conservativeness of the obtained results is verified. Finally, a practical example is provided to illustrate the effectiveness of the theoretical findings. Journal: International Journal of Systems Science Pages: 873-884 Issue: 4 Volume: 48 Year: 2017 Month: 3 X-DOI: 10.1080/00207721.2016.1224954 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1224954 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:873-884 Template-Type: ReDIF-Article 1.0 Author-Name: Hashim. A. Hashim Author-X-Name-First: Hashim. A. Author-X-Name-Last: Hashim Author-Name: Sami El-Ferik Author-X-Name-First: Sami Author-X-Name-Last: El-Ferik Author-Name: Frank L. Lewis Author-X-Name-First: Frank L. Author-X-Name-Last: Lewis Title: Adaptive synchronisation of unknown nonlinear networked systems with prescribed performance Abstract: This paper proposes an adaptive tracking control with prescribed performance function for distributive cooperative control of highly nonlinear multi-agent systems. The use of such approach confines the tracking error within a large predefined set to a predefined smaller set. The key idea is to transform the constrained system into unconstrained one through the transformation of the output error. Agents’ dynamics are assumed unknown, and the controller is developed for a strongly connected structured network. The proposed controller allows all agents to follow the trajectory of the leader node, while satisfying the necessary dynamic requirements. The proposed approach guarantees uniform ultimate boundedness for the transformed error as well as a bounded adaptive estimate of the unknown parameters and dynamics. Simulations include two examples to validate the robustness and smoothness of the proposed controller against highly nonlinear heterogeneous multi-agent system with uncertain time-variant parameters and external disturbances. Journal: International Journal of Systems Science Pages: 885-898 Issue: 4 Volume: 48 Year: 2017 Month: 3 X-DOI: 10.1080/00207721.2016.1226984 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1226984 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:885-898 Template-Type: ReDIF-Article 1.0 Author-Name: Editors Title: Corrigendum Abstract: Journal: International Journal of Systems Science Pages: i-i Issue: 4 Volume: 48 Year: 2017 Month: 3 X-DOI: 10.1080/00207721.2017.1237406 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1237406 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:4:p:i-i Template-Type: ReDIF-Article 1.0 Author-Name: M.A. Hinojosa Author-X-Name-First: M.A. Author-X-Name-Last: Hinojosa Author-Name: A.M. Mármol Author-X-Name-First: A.M. Author-X-Name-Last: Mármol Author-Name: F.J. Sánchez Author-X-Name-First: F.J. Author-X-Name-Last: Sánchez Title: Leximin rules for bankruptcy problems under uncertainty Abstract: We model bankruptcy problems under uncertainty under the assumption that there are several possible states of nature, each of which is identified with a different bankruptcy problem. For this multi-dimensional extension of classic bankruptcy problems, we consider situations in which agents exhibit at the same time additive preferences and leximin preferences on their possible results. We propose division rules which combine different rationality principles and guarantee efficiency with respect to leximin preferences. Journal: International Journal of Systems Science Pages: 20-28 Issue: 1 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.659705 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659705 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:1:p:20-28 Template-Type: ReDIF-Article 1.0 Author-Name: Tommi Tervonen Author-X-Name-First: Tommi Author-X-Name-Last: Tervonen Title: JSMAA: open source software for SMAA computations Abstract: Most software for multi-criteria decision analysis (MCDA) implement a small set of compatible methods as a closed monolithic program. With such software tools, the decision models have to be input by hand. In some applications, however, the model can be generated using external information sources, and thus it would be beneficial if the MCDA software could integrate in the comprehensive information infrastructure. This article motivates for the need of model generation in the methodological context of stochastic multicriteria acceptability analysis (SMAA), and describes the JSMAA software that implements SMAA-2, SMAA-O and SMAA-TRI methods. JSMAA is an open source and divided in separate graphical user interface and library components, enabling its use in systems with a model generation subsystem. Journal: International Journal of Systems Science Pages: 69-81 Issue: 1 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.659706 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659706 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:1:p:69-81 Template-Type: ReDIF-Article 1.0 Author-Name: Włodzimierz Ogryczak Author-X-Name-First: Włodzimierz Author-X-Name-Last: Ogryczak Title: Tail mean and related robust solution concepts Abstract: Robust optimisation might be viewed as a multicriteria optimisation problem where objectives correspond to the scenarios although their probabilities are unknown or imprecise. The simplest robust solution concept represents a conservative approach focused on the worst-case scenario results optimisation. A softer concept allows one to optimise the tail mean thus combining performances under multiple worst scenarios. We show that while considering robust models allowing the probabilities to vary only within given intervals, the tail mean represents the robust solution for only upper bounded probabilities. For any arbitrary intervals of probabilities the corresponding robust solution may be expressed by the optimisation of appropriately combined mean and tail mean criteria thus remaining easily implementable with auxiliary linear inequalities. Moreover, we use the tail mean concept to develope linear programming implementable robust solution concepts related to risk averse optimisation criteria. Journal: International Journal of Systems Science Pages: 29-38 Issue: 1 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.669868 File-URL: http://hdl.handle.net/10.1080/00207721.2012.669868 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:1:p:29-38 Template-Type: ReDIF-Article 1.0 Author-Name: Andrzej Skulimowski Author-X-Name-First: Andrzej Author-X-Name-Last: Skulimowski Title: Anticipatory network models of multicriteria decision-making processes Abstract: In this article, we will investigate the properties of a compromise solution selection method based on modelling the consequences of a decision as factors influencing the decision making in subsequent problems. Specifically, we assume that the constraints and preference structures in the (k + 1)st multicriteria optimisation problem depend on the values of criteria in the k-th problem. To make a decision in the initial problem, the decision maker should take into account the anticipated outcomes of each linked future decision problem. This model can be extended to a network of linked decision problems, such that causal relations are defined between the time-ordered nodes. Multiple edges starting from a decision node correspond to different future scenarios of consequences at this node. In addition, we will define the relation of anticipatory feedback, assuming that some decision makers take into account the anticipated future consequences of their decisions described by a network of optimisers − a class of information processing units introduced in this article. Both relations (causal and anticipatory) form a feedback information model, which makes possible a selection of compromise solutions taking into account the anticipated consequences. We provide constructive algorithms to solve discrete multicriteria decision problems that admit the above preference information structure. An illustrative example is presented in Section 4. Various applications of the above model, including the construction of technology foresight scenarios, are discussed in the final section of this article. Journal: International Journal of Systems Science Pages: 39-59 Issue: 1 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.670308 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670308 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:1:p:39-59 Template-Type: ReDIF-Article 1.0 Author-Name: Yakov Ben-Haim Author-X-Name-First: Yakov Author-X-Name-Last: Ben-Haim Title: Robust satisficing and the probability of survival Abstract: Concepts of robustness are sometimes employed when decisions under uncertainty are made without probabilistic information. We present a theorem that establishes necessary and sufficient conditions for non-probabilistic robustness to be equivalent to the probability of satisfying the specified outcome requirements. When this holds, probability is enhanced (or maximised) by enhancing (or maximising) robustness. Two further theorems establish important special cases. These theorems have implications for success or survival under uncertainty. Applications to foraging and finance are discussed. Journal: International Journal of Systems Science Pages: 3-19 Issue: 1 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.684906 File-URL: http://hdl.handle.net/10.1080/00207721.2012.684906 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:1:p:3-19 Template-Type: ReDIF-Article 1.0 Author-Name: Antanas Žilinskas Author-X-Name-First: Antanas Author-X-Name-Last: Žilinskas Title: A statistical model-based algorithm for ‘black-box’ multi-objective optimisation Abstract: The problem of multi-objective optimisation with ‘expensive’ ‘black-box’ objective functions is considered. An algorithm is proposed that generalises the single objective P-algorithm constructed using the statistical model of multimodal functions and concepts of the theory of rational decisions under uncertainty. Computational examples are included demonstrating that the algorithm proposed possess several expected properties. Journal: International Journal of Systems Science Pages: 82-93 Issue: 1 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.702244 File-URL: http://hdl.handle.net/10.1080/00207721.2012.702244 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:1:p:82-93 Template-Type: ReDIF-Article 1.0 Author-Name: Matt Stevenson Author-X-Name-First: Matt Author-X-Name-Last: Stevenson Author-Name: Paul Tappenden Author-X-Name-First: Paul Author-X-Name-Last: Tappenden Author-Name: Hazel Squires Author-X-Name-First: Hazel Author-X-Name-Last: Squires Title: Methods for handling uncertainty within pharmaceutical funding decisions Abstract: This article provides a position statement regarding decision making under uncertainty within the economic evaluation of pharmaceuticals, with a particular focus upon the National Institute for Health and Clinical Excellence context within England and Wales. This area is of importance as funding agencies have a finite budget from which to purchase a selection of competing health care interventions. The objective function generally used is that of maximising societal health with an explicit acknowledgement that there will be opportunity costs associated with purchasing a particular intervention. Three components of uncertainty are discussed within a pharmaceutical funding perspective: methodological uncertainty, parameter uncertainty and structural uncertainty, alongside a discussion of challenges that are particularly pertinent to health economic evaluation. The discipline has focused primarily on handling methodological and parameter uncertainty and a clear reference case has been developed for consistency across evaluations. However, uncertainties still remain. Less attention has been given to methods for handling structural uncertainty. The lack of adequate methods to explicitly incorporate this aspect of model development may result in the true uncertainty surrounding health care investment decisions being underestimated. Research in this area is ongoing as we review. Journal: International Journal of Systems Science Pages: 60-68 Issue: 1 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.723056 File-URL: http://hdl.handle.net/10.1080/00207721.2012.723056 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:1:p:60-68 Template-Type: ReDIF-Article 1.0 Author-Name: Carlos Antunes Author-X-Name-First: Carlos Author-X-Name-Last: Antunes Author-Name: David Insua Author-X-Name-First: David Author-X-Name-Last: Insua Author-Name: Luis Dias Author-X-Name-First: Luis Author-X-Name-Last: Dias Title: Uncertainty and robustness in planning and decision-making Journal: International Journal of Systems Science Pages: 1-2 Issue: 1 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.761372 File-URL: http://hdl.handle.net/10.1080/00207721.2012.761372 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:1:p:1-2 Template-Type: ReDIF-Article 1.0 Author-Name: He Li Author-X-Name-First: He Author-X-Name-Last: Li Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Dynamic observer-based control for fractional-order uncertain linear systems Abstract: This paper addresses the problem of dynamic observer-based control for fractional-order linear uncertain systems. By constructing a new linearising change of variables, the conditions for designing the observer and controller gains are obtained in terms of solutions to a set of linear matrix inequalities (LMIs) even in the presence of uncertainties in system, input and output matrices simultaneously. Meanwhile, owing to having additional degrees of freedom in the designed observer structure, the proposed methods have no equality constraint, which is needed by using Luenberger-type observer. Numerical examples are given to illustrate the benefits and the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1107-1120 Issue: 6 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2018.1562131 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1562131 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:6:p:1107-1120 Template-Type: ReDIF-Article 1.0 Author-Name: Huafeng Xia Author-X-Name-First: Huafeng Author-X-Name-Last: Xia Author-Name: Yongqing Yang Author-X-Name-First: Yongqing Author-X-Name-Last: Yang Author-Name: Feng Ding Author-X-Name-First: Feng Author-X-Name-Last: Ding Author-Name: Ahmed Alsaedi Author-X-Name-First: Ahmed Author-X-Name-Last: Alsaedi Author-Name: Tasawar Hayat Author-X-Name-First: Tasawar Author-X-Name-Last: Hayat Title: Maximum likelihood-based recursive least-squares estimation for multivariable systems using the data filtering technique Abstract: For multivariable equation-error systems with an autoregressive moving average noise, this paper applies the decomposition technique to transform a multivariable model into several identification sub-models based on the number of the system outputs, and derives a data filtering and maximum likelihood-based recursive least-squares algorithm to reduce the computation complexity and improve the parameter estimation accuracy. A multivariable recursive generalised extended least-squares method and a filtering-based recursive extended least-squares method are presented to show the effectiveness of the proposed algorithm. The simulation results indicate that the proposed method is effective and can produce more accurate parameter estimates than the compared methods. Journal: International Journal of Systems Science Pages: 1121-1135 Issue: 6 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1590664 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1590664 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:6:p:1121-1135 Template-Type: ReDIF-Article 1.0 Author-Name: Mehvish Naz Author-X-Name-First: Mehvish Author-X-Name-Last: Naz Author-Name: Wei Liu Author-X-Name-First: Wei Author-X-Name-Last: Liu Author-Name: Zhiming Wang Author-X-Name-First: Zhiming Author-X-Name-Last: Wang Title: Robust ISS of uncertain discrete-time singularly perturbed systems with disturbances Abstract: This paper is concerned with robustly input-to-state stable (ISS) and Robust ISS by feedback of uncertain discrete-time singularly perturbed systems (SPSs) with disturbances. Meanwhile, robust stability and stabilisation of uncertain discrete-time SPSs are also obtained as the particular cases of robust ISS and robust ISS by feedback. We first find a sufficient condition by using the fixed-point principle in terms of linear matrix inequalities (LMIs) to guarantee that the considered system is always standard discrete-time SPSs subject to uncertainty and disturbances. Then, the full systems could decompose into the continuous-time uncertain slow subsystem with disturbance and discrete-time uncertain fast subsystems with disturbance, respectively. Based on the two-time-scale decomposition technique, sufficient condition in terms of LMIs is given such that the full systems are uniformly standard and robust ISS simultaneously. In addition, a state feedback controller is constructed by using the LMI approach such that the resulting closed-loop systems are robust ISS. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 1136-1148 Issue: 6 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1597938 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1597938 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:6:p:1136-1148 Template-Type: ReDIF-Article 1.0 Author-Name: Liping Chen Author-X-Name-First: Liping Author-X-Name-Last: Chen Author-Name: Tingting Li Author-X-Name-First: Tingting Author-X-Name-Last: Li Author-Name: YangQuan Chen Author-X-Name-First: YangQuan Author-X-Name-Last: Chen Author-Name: Ranchao Wu Author-X-Name-First: Ranchao Author-X-Name-Last: Wu Author-Name: Suoliang Ge Author-X-Name-First: Suoliang Author-X-Name-Last: Ge Title: Robust passivity and feedback passification of a class of uncertain fractional-order linear systems Abstract: Theoretical results on robust passivity and feedback passification of a class of uncertain fractional-order (FO) linear systems are presented in the paper. The system under consideration is subject to time-varying norm-bounded parameter uncertainties in both the state and controlled output matrices. Firstly, some suitable notions of passivity and dissipativity for FO systems are proposed, and the relationship between passivity and stability is obtained. Then, a sufficient condition in the form of linear matrix inequality (LMI) for such system to be robustly passive is given. Based on this condition, the design method of state feedback controller is proposed when the states are available. Moreover, by using matrix singular value decomposition and LMI techniques, the existing condition and method of designing a robust observer-based passive controller for such systems are derived. Numerical simulations demonstrate the effectiveness of the theoretical formulation. Journal: International Journal of Systems Science Pages: 1149-1162 Issue: 6 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1597940 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1597940 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:6:p:1149-1162 Template-Type: ReDIF-Article 1.0 Author-Name: S. Aouaouda Author-X-Name-First: S. Author-X-Name-Last: Aouaouda Author-Name: M. Chadli Author-X-Name-First: M. Author-X-Name-Last: Chadli Title: Robust fault tolerant controller design for Takagi-Sugeno systems under input saturation Abstract: In this paper, we address the problem of fault tolerant constrained control (FTCC) design with multiobjective requirement for a class of uncertain Takagi-Sugeno systems subject to input and state constraints. An integrated robust FTC strategy is adopted by combining a descriptor approach and a novel structure of parallel distributed compensation control laws. This ensures the closed-loop system stability of the faulty system and respects the given saturation constraints on the control input. The optimisation problem is formulated using fuzzy Lyapunov function, and expressed in terms of linear matrix inequality constraints (LMIs). Numerical examples are given to show the effectiveness of the proposed FTCC approach for both measurable and unmeasurable decision variables cases. Journal: International Journal of Systems Science Pages: 1163-1178 Issue: 6 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1597941 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1597941 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:6:p:1163-1178 Template-Type: ReDIF-Article 1.0 Author-Name: Satnesh Singh Author-X-Name-First: Satnesh Author-X-Name-Last: Singh Author-Name: S. Janardhanan Author-X-Name-First: S. Author-X-Name-Last: Janardhanan Title: Functional observer-based sliding mode controller design for discrete-time stochastic LTI systems with unmatched uncertainty Abstract: Discrete-time sliding mode control is one of the most prominent robust control technique to stabilise systems. However, the assumption of full state feedback being available is seldom satisfied in practice. This paper presents the functional observer-based sliding mode controller (SMC) design for discrete-time stochastic systems with unmatched uncertainty. A disturbance-dependent sliding function method is proposed such that the effect of unmatched uncertainty of the system is minimised. Furthermore, SMC is calculated using the functional observer method. Finally, a simulation example is given to show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1179-1189 Issue: 6 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1597942 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1597942 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:6:p:1179-1189 Template-Type: ReDIF-Article 1.0 Author-Name: H. Arismendi-Valle Author-X-Name-First: H. Author-X-Name-Last: Arismendi-Valle Author-Name: D. Melchor-Aguilar Author-X-Name-First: D. Author-X-Name-Last: Melchor-Aguilar Title: On the Lyapunov matrices for integral delay systems Abstract: We study Lyapunov matrices for the class of integral delay systems with constant kernel and one delay. The uniqueness and computational issues of these Lyapunov matrices for exponentially stable systems are investigated. Journal: International Journal of Systems Science Pages: 1190-1201 Issue: 6 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1597943 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1597943 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:6:p:1190-1201 Template-Type: ReDIF-Article 1.0 Author-Name: Xinchun Jie Author-X-Name-First: Xinchun Author-X-Name-Last: Jie Author-Name: Minrui Fei Author-X-Name-First: Minrui Author-X-Name-Last: Fei Author-Name: Dajun Du Author-X-Name-First: Dajun Author-X-Name-Last: Du Title: Anomaly detection and resilient control of networked control system with multi-hop routing Abstract: With the wide application of networked control systems, how to deal with data injection attacks and maintain the stability of control systems including wireless multi-hop networks is a problem that the researchers and technological workers must consider and solve. Based on the construction of a control system including wireless multi-hop networks, the data transmission mode between routing nodes and the stability condition of the control system are given. Considering the existence of data injection attacks to routing nodes, a real-time detection method for anomaly behaviours is presented on the basis of chi-square goodness-of-fit test. In the case of data injection actions taking place, a strategy of switching paths in turn is used to execute the control task. The strategy is satisfied with the resilient stability of the control system. The simulation results show that the detection method can detect the data injection actions in real time, and the control strategy can restore control variables to proper values when the data injection actions exist. These methods have certain application prospects and popularisation values. Journal: International Journal of Systems Science Pages: 1202-1215 Issue: 6 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1597944 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1597944 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:6:p:1202-1215 Template-Type: ReDIF-Article 1.0 Author-Name: Ying Zhang Author-X-Name-First: Ying Author-X-Name-Last: Zhang Author-Name: Ai-Guo Wu Author-X-Name-First: Ai-Guo Author-X-Name-Last: Wu Author-Name: Yu Wang Author-X-Name-First: Yu Author-X-Name-Last: Wang Title: Convergence characterisation of an iterative algorithm for periodic Lyapunov matrix equations Abstract: This paper is concerned with convergence characterisation of an iterative algorithm for a class of reverse discrete periodic Lyapunov matrix equation associated with discrete-time linear periodic systems. Firstly, a simple necessary condition is given for this algorithm to be convergent. Then, a necessary and sufficient condition is presented for the convergence of the algorithm in terms of the roots of polynomial equations. In addition, with the aid of the necessary condition explicit expressions of the optimal parameter such that the algorithm has the fastest convergence rate are provided for two special cases. The advantage of the proposed approaches is illustrated by numerical examples. Journal: International Journal of Systems Science Pages: 1216-1228 Issue: 6 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1597945 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1597945 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:6:p:1216-1228 Template-Type: ReDIF-Article 1.0 Author-Name: Xuan Cai Author-X-Name-First: Xuan Author-X-Name-Last: Cai Author-Name: Chaoli Wang Author-X-Name-First: Chaoli Author-X-Name-Last: Wang Author-Name: Gang Wang Author-X-Name-First: Gang Author-X-Name-Last: Wang Author-Name: Yu Li Author-X-Name-First: Yu Author-X-Name-Last: Li Author-Name: Luyan Xu Author-X-Name-First: Luyan Author-X-Name-Last: Xu Author-Name: Zhihua Zhang Author-X-Name-First: Zhihua Author-X-Name-Last: Zhang Title: Distributed low-complexity output feedback tracking control for nonlinear multi-agent systems with unmodeled dynamics and prescribed performance Abstract: This paper investigates the prescribed performance distributed output consensus problem under directed graphs. With the utilisation of a filter, the original system of each follower can be converted into a strict-feedback system. Then, we design a prescribed performance output feedback distributed control protocol by applying the backstepping approach in the converted system. The proposed protocol can guarantee that the consensus tracking error of each agent evolves in predefined decaying bounds to achieve the prescribed performance, that is, the consensus tracking error of each agent converges to a predetermined residual set at a convergence rate no less than a prespecified value and exhibiting a maximum overshoot less than a preassigned constant. Moreover, during the process of consensus, all the signals in the closed-loop system are globally uniformly bounded. A simulation example is given to verify the effectiveness of the proposed control protocol. Journal: International Journal of Systems Science Pages: 1229-1243 Issue: 6 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1597946 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1597946 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:6:p:1229-1243 Template-Type: ReDIF-Article 1.0 Author-Name: Min Shi Author-X-Name-First: Min Author-X-Name-Last: Shi Author-Name: Songlin Hu Author-X-Name-First: Songlin Author-X-Name-Last: Hu Author-Name: Yajuan Yu Author-X-Name-First: Yajuan Author-X-Name-Last: Yu Title: Generalised exponential consensus of the fractional-order nonlinear multi-agent systems via event-triggered control Abstract: In this paper, the leader-following consensus problem of the fractional-order nonlinear multi-agent systems via event-triggered control is considered. An effective event-triggered controller is designed and then generalised exponential consensus of the controlled multi-agent systems is studied in the sense of Mittag-Leffler stability of fractional-order systems. The event-triggering function design is dependent on the parameter of the system structure and the minimum inter-event interval can be flexibly adjusted with different fractional-order α. With the event-triggered control scheme, the consensus condition is obtained and the convergence rate of the system is estimated. Numerical simulation indicates the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 1244-1251 Issue: 6 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1598510 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1598510 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:6:p:1244-1251 Template-Type: ReDIF-Article 1.0 Author-Name: Ester Sales-Setién Author-X-Name-First: Ester Author-X-Name-Last: Sales-Setién Author-Name: Ignacio Peñarrocha-Alós Author-X-Name-First: Ignacio Author-X-Name-Last: Peñarrocha-Alós Title: Multiobjective performance-based designs in fault estimation and isolation for discrete-time systems and its application to wind turbines Abstract: In this work, we develop a performance-based design of model-based observes and statistical-based decision mechanisms for achieving fault estimation and fault isolation in systems affected by unknown inputs and stochastic noises. First, through semidefinite programming, we design the observers considering different estimation performance indices as the covariance of the estimation errors, the fault tracking delays and the degree of decoupling from unknown inputs and from faults in other channels. Second, we perform a co-design of the observers and decision mechanisms for satisfying certain trade-off between different isolation performance indices: the false isolation rates, the isolation times and the minimum size of the isolable faults. Finally, we extend these results to a scheme based on a bank of observers for the case where multiple faults affect the system and isolability conditions are not verified. To show the effectiveness of the results, we apply these design strategies to a well-known benchmark of wind turbines which considers multiple faults and has explicit requirements over isolation times and false isolation rates. Journal: International Journal of Systems Science Pages: 1252-1274 Issue: 6 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1598511 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1598511 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:6:p:1252-1274 Template-Type: ReDIF-Article 1.0 Author-Name: Chi Zhang Author-X-Name-First: Chi Author-X-Name-Last: Zhang Author-Name: Minggang Gan Author-X-Name-First: Minggang Author-X-Name-Last: Gan Author-Name: Jingang Zhao Author-X-Name-First: Jingang Author-X-Name-Last: Zhao Title: Data-driven optimal control of switched linear autonomous systems Abstract: In this paper, a novel data-driven optimal control approach of switching times is proposed for unknown continuous-time switched linear autonomous systems with a finite-horizon cost function and a prescribed switching sequence. No a priori knowledge on the system dynamics is required in this approach. First, some formulas based on the Taylor expansion are deduced to estimate the derivatives of a cost function with respect to the switching times using system state data. Then, a data-driven optimal control approach based on the gradient decent algorithm is designed, taking advantage of the derivatives to approximate the optimal switching times. Moreover, the estimation errors are analysed and proven to be bounded. Finally, simulation examples are illustrated to validate the effectiveness of the approach. Journal: International Journal of Systems Science Pages: 1275-1289 Issue: 6 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1598512 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1598512 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:6:p:1275-1289 Template-Type: ReDIF-Article 1.0 Author-Name: Neila Bedioui Author-X-Name-First: Neila Author-X-Name-Last: Bedioui Author-Name: Radhia Houimli Author-X-Name-First: Radhia Author-X-Name-Last: Houimli Author-Name: Mongi Besbes Author-X-Name-First: Mongi Author-X-Name-Last: Besbes Title: Simultaneous sensor and actuator fault estimation for continuous-time polytopic LPV system Abstract: In this paper, we study the problem of state estimation and both actuator and sensor fault detection for Linear Polytopic Parameter-Varying (LPV) system. The contribution of this work consists on the design of a novel robust adaptive observer based on polyquadratic formulations with a new set of relaxation. An optimisation problem is given in term of Linear Matrix Inequalities (LMI) in order to guarantee the stability of the system and the asymptotic convergence of faults error. A comparative study is made to prove the efficiency of the proposed polyquadratic algorithms against the quadratic ones. The performances and effectiveness of the proposed methods are illustrated in a simulation example where constant and variable actuator and sensor faults were detected. Journal: International Journal of Systems Science Pages: 1290-1302 Issue: 6 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1599078 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1599078 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:6:p:1290-1302 Template-Type: ReDIF-Article 1.0 Author-Name: Alexey A. Belov Author-X-Name-First: Alexey A. Author-X-Name-Last: Belov Author-Name: Olga G. Andrianova Author-X-Name-First: Olga G. Author-X-Name-Last: Andrianova Title: Robust state-feedback control for discrete-time descriptor systems with norm-bounded parametric uncertainties Abstract: This paper deals with a state feedback $\mathcal {H}_{\infty } $H∞ control problem for linear time-invariant discrete-time descriptor systems with norm-bounded parametric uncertainties. To this end, bounded real lemma (BRL) is extended on the class of uncertain descriptor systems. The control design procedure based on the conditions of BRL for uncertain descriptor systems is proposed. Numerical examples are included to illustrate the effectiveness of the present result. Journal: International Journal of Systems Science Pages: 1303-1312 Issue: 6 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1599079 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1599079 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:6:p:1303-1312 Template-Type: ReDIF-Article 1.0 Author-Name: Bo-Chao Zheng Author-X-Name-First: Bo-Chao Author-X-Name-Last: Zheng Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Sliding mode control for Markov jump linear uncertain systems with partly unknown transition rates Abstract: In this paper, based on sliding mode control approach, the robust stabilisation problem for a class of continuous-time Markovian jump linear uncertain systems with partly unknown transition rates is investigated. The transition rate matrix under consideration covers completely known, boundary known and completely unknown elements. By making use of linear matrix inequalities technique, sufficient conditions are presented to derive the linear switching surface and guarantee the stochastic stability of sliding mode dynamics. Then a sliding mode control law is designed to drive the state trajectory of the closed-loop system to the specified linear switching surface in finite time in spite of the existing uncertainties and unknown transition rates. Finally, an example is given to verify the validity of the theoretical results. Journal: International Journal of Systems Science Pages: 1999-2011 Issue: 10 Volume: 45 Year: 2014 Month: 10 X-DOI: 10.1080/00207721.2012.760668 File-URL: http://hdl.handle.net/10.1080/00207721.2012.760668 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:10:p:1999-2011 Template-Type: ReDIF-Article 1.0 Author-Name: Hu-Chen Liu Author-X-Name-First: Hu-Chen Author-X-Name-Last: Liu Author-Name: Long Liu Author-X-Name-First: Long Author-X-Name-Last: Liu Author-Name: Ping Li Author-X-Name-First: Ping Author-X-Name-Last: Li Title: Failure mode and effects analysis using intuitionistic fuzzy hybrid weighted Euclidean distance operator Abstract: Failure mode and effects analysis (FMEA) has shown its effectiveness in examining potential failures in products, process, designs or services and has been extensively used for safety and reliability analysis in a wide range of industries. However, its approach to prioritise failure modes through a crisp risk priority number (RPN) has been criticised as having several shortcomings. The aim of this paper is to develop an efficient and comprehensive risk assessment methodology using intuitionistic fuzzy hybrid weighted Euclidean distance (IFHWED) operator to overcome the limitations and improve the effectiveness of the traditional FMEA. The diversified and uncertain assessments given by FMEA team members are treated as linguistic terms expressed in intuitionistic fuzzy numbers (IFNs). Intuitionistic fuzzy weighted averaging (IFWA) operator is used to aggregate the FMEA team members’ individual assessments into a group assessment. IFHWED operator is applied thereafter to the prioritisation and selection of failure modes. Particularly, both subjective and objective weights of risk factors are considered during the risk evaluation process. A numerical example for risk assessment is given to illustrate the proposed method finally. Journal: International Journal of Systems Science Pages: 2012-2030 Issue: 10 Volume: 45 Year: 2014 Month: 10 X-DOI: 10.1080/00207721.2012.760669 File-URL: http://hdl.handle.net/10.1080/00207721.2012.760669 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:10:p:2012-2030 Template-Type: ReDIF-Article 1.0 Author-Name: Zhouhua Peng Author-X-Name-First: Zhouhua Author-X-Name-Last: Peng Author-Name: Dan Wang Author-X-Name-First: Dan Author-X-Name-Last: Wang Author-Name: Gang Sun Author-X-Name-First: Gang Author-X-Name-Last: Sun Author-Name: Hao Wang Author-X-Name-First: Hao Author-X-Name-Last: Wang Title: Distributed cooperative stabilisation of continuous-time uncertain nonlinear multi-agent systems Abstract: This paper addresses the distributed cooperative stabilisation problem of continuous-time uncertain nonlinear multi-agent systems. By approximating the uncertain dynamics using neural networks, a distributed adaptive cooperative controller, based on the state information of the neighbouring agents, is proposed. The control design is developed for any undirected connected communication topologies without requiring the accurate model of each agent. This result is further extended to the output feedback case. An observer-based distributed cooperative controller is devised and a parameter dependent Riccati inequality is employed to prove stability of the overall multi-agent systems. This design is less complex than the other design methods and has a favourable decouple property between the observer design and the controller design for uncertain nonlinear multi-agent systems. For both cases, the developed controllers guarantee that all signals in the closed-loop network are uniformly ultimately bounded, and the states of all agents cooperatively converge to a small neighbourhood of origin. A comparative study is given to show the efficacy of the proposed method. Journal: International Journal of Systems Science Pages: 2031-2041 Issue: 10 Volume: 45 Year: 2014 Month: 10 X-DOI: 10.1080/00207721.2012.760670 File-URL: http://hdl.handle.net/10.1080/00207721.2012.760670 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:10:p:2031-2041 Template-Type: ReDIF-Article 1.0 Author-Name: Angus Jeang Author-X-Name-First: Angus Author-X-Name-Last: Jeang Author-Name: Yang-Kuei Lin Author-X-Name-First: Yang-Kuei Author-X-Name-Last: Lin Title: Product and process parameters determination for quality and cost Abstract: The purpose of this study is to conduct a concurrent product and process parameters determination for further cost reduction and quality enhancement. The process design-related parameters, such as process mean, process tolerance and product design-related parameters, such as product tolerance, are considered simultaneously in the proposed approach. To reflect the response from these three key controllable characteristics: process mean, process tolerance and product tolerance, the key measurement score, which is the sum of the mean cost, tolerance cost, quality loss and failure cost, is used to evaluate the present model. Two examples are provided for demonstrating the application of single and multiple quality characteristics. Journal: International Journal of Systems Science Pages: 2042-2054 Issue: 10 Volume: 45 Year: 2014 Month: 10 X-DOI: 10.1080/00207721.2012.760761 File-URL: http://hdl.handle.net/10.1080/00207721.2012.760761 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:10:p:2042-2054 Template-Type: ReDIF-Article 1.0 Author-Name: Li-Chih Wang Author-X-Name-First: Li-Chih Author-X-Name-Last: Wang Author-Name: Yin-Yann Chen Author-X-Name-First: Yin-Yann Author-X-Name-Last: Chen Author-Name: Tzu-Li Chen Author-X-Name-First: Tzu-Li Author-X-Name-Last: Chen Author-Name: Chen-Yang Cheng Author-X-Name-First: Chen-Yang Author-X-Name-Last: Cheng Author-Name: Chin-Wei Chang Author-X-Name-First: Chin-Wei Author-X-Name-Last: Chang Title: A hybrid flowshop scheduling model considering dedicated machines and lot-splitting for the solar cell industry Abstract: This paper studies a solar cell industry scheduling problem, which is similar to traditional hybrid flowshop scheduling (HFS). In a typical HFS problem, the allocation of machine resources for each order should be scheduled in advance. However, the challenge in solar cell manufacturing is the number of machines that can be adjusted dynamically to complete the job. An optimal production scheduling model is developed to explore these issues, considering the practical characteristics, such as hybrid flowshop, parallel machine system, dedicated machines, sequence independent job setup times and sequence dependent job setup times. The objective of this model is to minimise the makespan and to decide the processing sequence of the orders/lots in each stage, lot-splitting decisions for the orders and the number of machines used to satisfy the demands in each stage. From the experimental results, lot-splitting has significant effect on shortening the makespan, and the improvement effect is influenced by the processing time and the setup time of orders. Therefore, the threshold point to improve the makespan can be identified. In addition, the model also indicates that more lot-splitting approaches, that is, the flexibility of allocating orders/lots to machines is larger, will result in a better scheduling performance. Journal: International Journal of Systems Science Pages: 2055-2071 Issue: 10 Volume: 45 Year: 2014 Month: 10 X-DOI: 10.1080/00207721.2012.762557 File-URL: http://hdl.handle.net/10.1080/00207721.2012.762557 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:10:p:2055-2071 Template-Type: ReDIF-Article 1.0 Author-Name: Kuangrong Hao Author-X-Name-First: Kuangrong Author-X-Name-Last: Hao Author-Name: Chongbin Guo Author-X-Name-First: Chongbin Author-X-Name-Last: Guo Author-Name: Yongsheng Ding Author-X-Name-First: Yongsheng Author-X-Name-Last: Ding Title: Physiological hemostasis based intelligent integrated cooperative controller for precise fault-tolerant control of redundant parallel manipulator Abstract: This paper focuses on precise fault-tolerant control for actual redundant parallel manipulator. Based on kinematic redundancy, some unnoticed influences such as mechanical clearance have been considered to design a more precise and intelligent fault-tolerant plan for actual plants. According to regulation principles in human hemostasis system, a bio-inspired intelligent integrated cooperative controller (BIICC) is developed including system structure, algorithm and step in parameter tuning. The proposed BIICC optimises partial error signal and improves control performance in each sub-channel. Moreover, the new controller transfers and disposes cooperative control signals among different sub-channels to achieve an intelligent integrated fault-tolerant system. The proposed BIICC is applied to an actual 2-DOF (degrees of freedom) redundant parallel manipulator where the feasibility of the new controller is demonstrated. The BIICC is beneficial to control precision and fault-tolerant capability of redundant plant. The improvements are more obvious in cases where extra actuators of redundant manipulator are broken. Journal: International Journal of Systems Science Pages: 2072-2087 Issue: 10 Volume: 45 Year: 2014 Month: 10 X-DOI: 10.1080/00207721.2012.762558 File-URL: http://hdl.handle.net/10.1080/00207721.2012.762558 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:10:p:2072-2087 Template-Type: ReDIF-Article 1.0 Author-Name: Wenjie Dong Author-X-Name-First: Wenjie Author-X-Name-Last: Dong Author-Name: Chunyu Chen Author-X-Name-First: Chunyu Author-X-Name-Last: Chen Author-Name: Yifan Xing Author-X-Name-First: Yifan Author-X-Name-Last: Xing Title: Distributed estimation-based tracking control of multiple uncertain non-linear systems Abstract: This paper considers the tracking control of multiple uncertain non-linear systems with a desired signal which is not available to each system. An estimation-based controller design approach is proposed. Distributed estimation-based adaptive controllers are proposed with the aid of Lyapunov techniques and results from graph theory. Simulation results show the effectiveness of the proposed controllers. Journal: International Journal of Systems Science Pages: 2088-2099 Issue: 10 Volume: 45 Year: 2014 Month: 10 X-DOI: 10.1080/00207721.2012.762559 File-URL: http://hdl.handle.net/10.1080/00207721.2012.762559 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:10:p:2088-2099 Template-Type: ReDIF-Article 1.0 Author-Name: S.G. Li Author-X-Name-First: S.G. Author-X-Name-Last: Li Author-Name: L. Shi Author-X-Name-First: L. Author-X-Name-Last: Shi Title: The recommender system for virtual items in MMORPGs based on a novel collaborative filtering approach Abstract: The recommendation system for virtual items in massive multiplayer online role-playing games (MMORPGs) has aroused the interest of researchers. Of the many approaches to construct a recommender system, collaborative filtering (CF) has been the most successful one. However, the traditional CFs just lure customers into the purchasing action and overlook customers’ satisfaction, moreover, these techniques always suffer from low accuracy under cold-start conditions. Therefore, a novel collaborative filtering (NCF) method is proposed to identify like-minded customers according to the preference similarity coefficient (PSC), which implies correlation between the similarity of customers’ characteristics and the similarity of customers’ satisfaction level for the product. Furthermore, the analytic hierarchy process (AHP) is used to determine the relative importance of each characteristic of the customer and the improved ant colony optimisation (IACO) is adopted to generate the expression of the PSC. The IACO creates solutions using the Markov random walk model, which can accelerate the convergence of algorithm and prevent prematurity. For a target customer whose neighbours can be found, the NCF can predict his satisfaction level towards the suggested products and recommend the acceptable ones. Under cold-start conditions, the NCF will generate the recommendation list by excluding items that other customers prefer. Journal: International Journal of Systems Science Pages: 2100-2115 Issue: 10 Volume: 45 Year: 2014 Month: 10 X-DOI: 10.1080/00207721.2012.762560 File-URL: http://hdl.handle.net/10.1080/00207721.2012.762560 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:10:p:2100-2115 Template-Type: ReDIF-Article 1.0 Author-Name: Abdellah Benzaouia Author-X-Name-First: Abdellah Author-X-Name-Last: Benzaouia Author-Name: Mustapha Ouladsine Author-X-Name-First: Mustapha Author-X-Name-Last: Ouladsine Author-Name: Bouchra Ananou Author-X-Name-First: Bouchra Author-X-Name-Last: Ananou Title: Fault tolerant control for switching discrete-time systems with delays: an improved cone complementarity approach Abstract: In this paper, fault tolerant control problem for discrete-time switching systems with delay is studied. Sufficient conditions of building an observer are obtained by using multiple Lyapunov function. These conditions are worked out in a new way, using cone complementarity technique, to obtain new LMIs with slack variables and multiple weighted residual matrices. The obtained results are applied on a numerical example showing fault detection, localisation of fault and reconfiguration of the control to maintain asymptotic stability even in the presence of a permanent sensor fault. Journal: International Journal of Systems Science Pages: 2116-2126 Issue: 10 Volume: 45 Year: 2014 Month: 10 X-DOI: 10.1080/00207721.2012.762561 File-URL: http://hdl.handle.net/10.1080/00207721.2012.762561 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:10:p:2116-2126 Template-Type: ReDIF-Article 1.0 Author-Name: Yuwen Chang Author-X-Name-First: Yuwen Author-X-Name-Last: Chang Author-Name: Jiexin Yi Author-X-Name-First: Jiexin Author-X-Name-Last: Yi Author-Name: Wei Yan Author-X-Name-First: Wei Author-X-Name-Last: Yan Author-Name: Xinshe Yang Author-X-Name-First: Xinshe Author-X-Name-Last: Yang Author-Name: Song Zhang Author-X-Name-First: Song Author-X-Name-Last: Zhang Author-Name: Yifan Gao Author-X-Name-First: Yifan Author-X-Name-Last: Gao Author-Name: Xi Wang Author-X-Name-First: Xi Author-X-Name-Last: Wang Title: Oil supply between OPEC and non-OPEC based on game theory Abstract: The competing strategies between OPEC (Organization of the Petroleum Exporting Countries) and non-OPEC producers make the oil supply market a complex system, and thus, it is very difficult to model and to make predictions. In this paper, we combine the macro-model based on game theory and micro-model to propose a new approach for forecasting oil supply. We take into account the microscopic behaviour in the clearing market and also use the game relationships to adjust oil supplies in our approach. For the supply model, we analyse and consider the different behaviour of non-OPEC and OPEC producers. According to our analysis, limiting the oil supply, and thus maintaining oil price, is the best strategy for OPEC in the low-price scenario, while the rising supply is the best strategy in the high-price scenario. No matter what the oil price is, the dominant strategy for non-OPEC producers is to increase their oil supply. In the high-price scenario, OPEC will try to deplete non-OPEC’s share in the oil supply market, which is to OPEC’s advantage. Journal: International Journal of Systems Science Pages: 2127-2132 Issue: 10 Volume: 45 Year: 2014 Month: 10 X-DOI: 10.1080/00207721.2012.762562 File-URL: http://hdl.handle.net/10.1080/00207721.2012.762562 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:10:p:2127-2132 Template-Type: ReDIF-Article 1.0 Author-Name: Yuzhu Guo Author-X-Name-First: Yuzhu Author-X-Name-Last: Guo Author-Name: L.Z. Guo Author-X-Name-First: L.Z. Author-X-Name-Last: Guo Author-Name: S.A. Billings Author-X-Name-First: S.A. Author-X-Name-Last: Billings Author-Name: Daniel Coca Author-X-Name-First: Daniel Author-X-Name-Last: Coca Author-Name: Z.Q. Lang Author-X-Name-First: Z.Q. Author-X-Name-Last: Lang Title: A parametric frequency response method for non-linear time-varying systems Abstract: A new parametric frequency response algorithm is introduced to investigate linear and non-linear dynamic systems with time-varying parameters. In the new algorithm the time-varying parameters are regarded as additional inputs of the systems and the non-linear generalised frequency response functions for multi-input-single-output systems are then employed to obtain Zadeh's system functions from a differential equation representation. The parametric frequency response method reveals how the time-varying parameters affect the behaviour of the systems through a time-varying term. The new method can be applied to both linear and non-linear time-varying systems. Journal: International Journal of Systems Science Pages: 2133-2144 Issue: 10 Volume: 45 Year: 2014 Month: 10 X-DOI: 10.1080/00207721.2012.762563 File-URL: http://hdl.handle.net/10.1080/00207721.2012.762563 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:10:p:2133-2144 Template-Type: ReDIF-Article 1.0 Author-Name: Min Xie Author-X-Name-First: Min Author-X-Name-Last: Xie Author-Name: Chengjie Xiong Author-X-Name-First: Chengjie Author-X-Name-Last: Xiong Author-Name: Szu-Hui Ng Author-X-Name-First: Szu-Hui Author-X-Name-Last: Ng Title: A study of N-version programming and its impact on software availability Abstract: N-version programming is a useful approach to improve the quality of software, especially for safety-critical systems. Positive performance in enhancing software availability is an expected result. In this paper, a software availability model for the study of the impact of N-version programming technique is proposed and investigated. The characteristics of the N-version software system and its operation and failure process are analysed. Based on this analysis, the time-dependent behaviour of the software system, which alternates between online and offline states, is described using a Markov chain. This model derives quantitative measures of software availability. Numerical examples and comparisons are also presented in this paper to directly illustrate N-version programming's positive impact on software availability measures. N-version programming generally provides a positive impact on the system. However, it does not always guarantee a higher availability performance. General recommendations are provided on N-version software structure design based on cost-effective criteria. Journal: International Journal of Systems Science Pages: 2145-2157 Issue: 10 Volume: 45 Year: 2014 Month: 10 X-DOI: 10.1080/00207721.2013.763299 File-URL: http://hdl.handle.net/10.1080/00207721.2013.763299 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:10:p:2145-2157 Template-Type: ReDIF-Article 1.0 Author-Name: Ming Gao Author-X-Name-First: Ming Author-X-Name-Last: Gao Author-Name: Xia Hong Author-X-Name-First: Xia Author-X-Name-Last: Hong Author-Name: Chris J. Harris Author-X-Name-First: Chris J. Author-X-Name-Last: Harris Title: A unified neurofuzzy model for classification Abstract: This work proposes a unified neurofuzzy modelling scheme. To begin with, the initial fuzzy base construction method is based on fuzzy clustering utilising a Gaussian mixture model (GMM) combined with the analysis of covariance (ANOVA) decomposition in order to obtain more compact univariate and bivariate membership functions over the subspaces of the input features. The mean and covariance of the Gaussian membership functions are found by the expectation maximisation (EM) algorithm with the merit of revealing the underlying density distribution of system inputs. The resultant set of membership functions forms the basis of the generalised fuzzy model (GFM) inference engine. The model structure and parameters of this neurofuzzy model are identified via the supervised subspace orthogonal least square (OLS) learning. Finally, instead of providing deterministic class label as model output by convention, a logistic regression model is applied to present the classifier’s output, in which the sigmoid type of logistic transfer function scales the outputs of the neurofuzzy model to the class probability. Experimental validation results are presented to demonstrate the effectiveness of the proposed neurofuzzy modelling scheme. Journal: International Journal of Systems Science Pages: 2158-2171 Issue: 10 Volume: 45 Year: 2014 Month: 10 X-DOI: 10.1080/00207721.2013.763301 File-URL: http://hdl.handle.net/10.1080/00207721.2013.763301 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:10:p:2158-2171 Template-Type: ReDIF-Article 1.0 Author-Name: Ya Zhang Author-X-Name-First: Ya Author-X-Name-Last: Zhang Author-Name: Yu-Ping Tian Author-X-Name-First: Yu-Ping Author-X-Name-Last: Tian Title: Allowable delay bound for consensus of linear multi-agent systems with communication delay Abstract: This paper studies the consensus of a group of linear dynamic agents with a uniform communication delay and focuses on searching an allowable delay bound. As long as the delay is less than this bound, there exist linear feedback consensus protocols driving the multi-agent system to achieve consensus. Both fixed and switching topology cases are investigated. In both cases, the consensus problem is converted to the robust stability problem of corresponding uncertain state-delayed systems. By using Lyapunov–Krasovskii functional analysis, consensus conditions which contain the feedback gain conditions and delay conditions are proposed for systems over fixed and switching topologies, respectively. Furthermore, allowable delay bounds are obtained for both systems by solving the optimal robust stabilisation problems. Numerical examples are given to illustrate the results. Journal: International Journal of Systems Science Pages: 2172-2181 Issue: 10 Volume: 45 Year: 2014 Month: 10 X-DOI: 10.1080/00207721.2013.763303 File-URL: http://hdl.handle.net/10.1080/00207721.2013.763303 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:10:p:2172-2181 Template-Type: ReDIF-Article 1.0 Author-Name: Muhammad Ali Al-Radhawi Author-X-Name-First: Muhammad Ali Author-X-Name-Last: Al-Radhawi Author-Name: Maamar Bettayeb Author-X-Name-First: Maamar Author-X-Name-Last: Bettayeb Title: Decentralised - filtering of networked control systems: a jump system approach Abstract: We consider the problem of decentralised estimation of discrete-time interconnected systems with local estimators communicating with their subsystems over lossy communication channels. Assuming that the packet losses follow the Gilbert–Elliot model, the networked estimation problem can be formulated into a Markovian jump linear system framework. Modelling subsystem interactions as sum quadratic constrained uncertainties, we design mode-dependent decentralised H∞${\mathscr H}_\infty$-estimators that robustly stabilise the estimator system and guarantee a given disturbance attenuation level. The estimation gains are derived with necessary and sufficient rank-constrained linear matrix inequality conditions. Results are also provided for local mode-dependent estimators. Estimator synthesis is done using a cone-complementarity linearisation algorithm for the rank-constraints. The results are illustrated via an example. Journal: International Journal of Systems Science Pages: 2182-2195 Issue: 10 Volume: 45 Year: 2014 Month: 10 X-DOI: 10.1080/00207721.2013.763304 File-URL: http://hdl.handle.net/10.1080/00207721.2013.763304 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:10:p:2182-2195 Template-Type: ReDIF-Article 1.0 Author-Name: Talal M. Al-Khamis Author-X-Name-First: Talal M. Author-X-Name-Last: Al-Khamis Author-Name: Lakdere Benkherouf Author-X-Name-First: Lakdere Author-X-Name-Last: Benkherouf Author-Name: Mohamed Omar Author-X-Name-First: Mohamed Author-X-Name-Last: Omar Title: Optimal policies for a finite-horizon batching inventory model Abstract: This paper is concerned with finding an optimal inventory policy for the integrated replenishment-production batching model of Omar and Smith (2002). Here, a company produces a single finished product which requires a single raw material and the objective is to minimise the total inventory costs over a finite planning horizon. Earlier work in the literature considered models with linear demand rate function of the finished product. This work proposes a general methodology for finding an optimal inventory policy for general demand rate functions. The proposed methodology is adapted from the recent work of Benkherouf and Gilding (2009). Journal: International Journal of Systems Science Pages: 2196-2202 Issue: 10 Volume: 45 Year: 2014 Month: 10 X-DOI: 10.1080/00207721.2013.765056 File-URL: http://hdl.handle.net/10.1080/00207721.2013.765056 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:10:p:2196-2202 Template-Type: ReDIF-Article 1.0 Author-Name: Shu Liang Author-X-Name-First: Shu Author-X-Name-Last: Liang Author-Name: Cheng Peng Author-X-Name-First: Cheng Author-X-Name-Last: Peng Author-Name: Zeng Liao Author-X-Name-First: Zeng Author-X-Name-Last: Liao Author-Name: Yong Wang Author-X-Name-First: Yong Author-X-Name-Last: Wang Title: State space approximation for general fractional order dynamic systems Abstract: Approximations for general fractional order dynamic systems are of much theoretical and practical interest. In this paper, a new approximate method for fractional order integrator is proposed. The poles of the approximate model are unrelated to the order of integrator. This feature shows benefits on extending the algorithm to the systems containing various fractional orders. Then a unified approximate method is derived for general fractional order linear or nonlinear dynamic systems via combining the proposed new method with the distributed frequency model approach. Numerical examples are given to show the wide applicability of our method and to illustrate the acceptable accuracy for approximations as well. Journal: International Journal of Systems Science Pages: 2203-2212 Issue: 10 Volume: 45 Year: 2014 Month: 10 X-DOI: 10.1080/00207721.2013.766773 File-URL: http://hdl.handle.net/10.1080/00207721.2013.766773 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:10:p:2203-2212 Template-Type: ReDIF-Article 1.0 Author-Name: Mohammad Siami Author-X-Name-First: Mohammad Author-X-Name-Last: Siami Author-Name: Mohammad Reza Gholamian Author-X-Name-First: Mohammad Reza Author-X-Name-Last: Gholamian Author-Name: Javad Basiri Author-X-Name-First: Javad Author-X-Name-Last: Basiri Title: An application of locally linear model tree algorithm with combination of feature selection in credit scoring Abstract: Nowadays, credit scoring is one of the most important topics in the banking sector. Credit scoring models have been widely used to facilitate the process of credit assessing. In this paper, an application of the locally linear model tree algorithm (LOLIMOT) was experimented to evaluate the superiority of its performance to predict the customer's credit status. The algorithm is improved with an aim of adjustment by credit scoring domain by means of data fusion and feature selection techniques. Two real world credit data sets – Australian and German – from UCI machine learning database were selected to demonstrate the performance of our new classifier. The analytical results indicate that the improved LOLIMOT significantly increase the prediction accuracy. Journal: International Journal of Systems Science Pages: 2213-2222 Issue: 10 Volume: 45 Year: 2014 Month: 10 X-DOI: 10.1080/00207721.2013.767395 File-URL: http://hdl.handle.net/10.1080/00207721.2013.767395 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:10:p:2213-2222 Template-Type: ReDIF-Article 1.0 Author-Name: Chunsheng Liu Author-X-Name-First: Chunsheng Author-X-Name-Last: Liu Author-Name: Bin Jiang Author-X-Name-First: Bin Author-X-Name-Last: Jiang Title: fault-tolerant control for time-varied actuator fault of nonlinear system Abstract: This paper studies H∞ fault-tolerant control for a class of uncertain nonlinear systems subject to time-varied actuator faults. A radial basis function neural network is utilised to approximate the unknown nonlinear functions; an updating rule is designed to estimate on-line time-varied fault of actuator; and the controller with the states feedback and faults estimation is applied to compensate for the effects of fault and minimise H∞ performance criteria in order to get a desired H∞ disturbance rejection constraint. Sufficient conditions are derived, which guarantees that the closed-loop system is robustly stable and satisfies the H∞ performance in both normal and fault cases. In order to reduce computing cost, a simplified algorithm of matrix Riccati inequality is given. A spacecraft model is presented to demonstrate the effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 2447-2457 Issue: 12 Volume: 45 Year: 2014 Month: 12 X-DOI: 10.1080/00207721.2013.770937 File-URL: http://hdl.handle.net/10.1080/00207721.2013.770937 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:12:p:2447-2457 Template-Type: ReDIF-Article 1.0 Author-Name: Ji-Shi Zhang Author-X-Name-First: Ji-Shi Author-X-Name-Last: Zhang Author-Name: Yan-Wu Wang Author-X-Name-First: Yan-Wu Author-X-Name-Last: Wang Author-Name: Jiang-Wen Xiao Author-X-Name-First: Jiang-Wen Author-X-Name-Last: Xiao Author-Name: Yan-Jun Shen Author-X-Name-First: Yan-Jun Author-X-Name-Last: Shen Title: Stability analysis of switched positive linear systems with stable and unstable subsystems Abstract: This paper addresses the stability problem of switched positive linear systems with stable and unstable subsystems. Based on a multiple linear copositive Lyapunov function, and by using the average dwell time approach, some sufficient stability criteria of global uniform exponential stability are established in both the continuous-time and the discrete-time cases, respectively. Finally, some numerical examples are given to show the effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 2458-2465 Issue: 12 Volume: 45 Year: 2014 Month: 12 X-DOI: 10.1080/00207721.2013.770938 File-URL: http://hdl.handle.net/10.1080/00207721.2013.770938 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:12:p:2458-2465 Template-Type: ReDIF-Article 1.0 Author-Name: Gang Gao Author-X-Name-First: Gang Author-X-Name-Last: Gao Author-Name: Jinzhi Wang Author-X-Name-First: Jinzhi Author-X-Name-Last: Wang Author-Name: Xianghua Wang Author-X-Name-First: Xianghua Author-X-Name-Last: Wang Title: Robust tracking control for an air-breathing hypersonic vehicle with input constraints Abstract: The focus of this paper is on the design and simulation of robust tracking control for an air-breathing hypersonic vehicle (AHV), which is affected by high nonlinearity, uncertain parameters and input constraints. The linearisation method is employed for the longitudinal AHV model about a specific trim condition, and then considering the additive uncertainties of three parameters, the linearised model is just in the form of affine parameter dependence. From this point, the linear parameter-varying method is applied to design the desired controller. The poles for the closed-loop system of the linearised model are placed into a desired vertical strip, and the quadratic stability of the closed-loop system is guaranteed. Input constraints of the AHV are addressed by additional linear matrix inequalities. Finally, the designed controller is evaluated on the nonlinear AHV model and simulation results demonstrate excellent tracking performance with good robustness. Journal: International Journal of Systems Science Pages: 2466-2479 Issue: 12 Volume: 45 Year: 2014 Month: 12 X-DOI: 10.1080/00207721.2013.771758 File-URL: http://hdl.handle.net/10.1080/00207721.2013.771758 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:12:p:2466-2479 Template-Type: ReDIF-Article 1.0 Author-Name: Zhuoqi Zhang Author-X-Name-First: Zhuoqi Author-X-Name-Last: Zhang Author-Name: Su Wu Author-X-Name-First: Su Author-X-Name-Last: Wu Author-Name: Seungchul Lee Author-X-Name-First: Seungchul Author-X-Name-Last: Lee Author-Name: Jun Ni Author-X-Name-First: Jun Author-X-Name-Last: Ni Title: Modified iterative aggregation procedure for maintenance optimisation of multi-component systems with failure interaction Abstract: This paper studies maintenance policies for multi-component systems which have failure interaction among their components. Component failure might accelerate deterioration processes or induce instantaneous failures of the remaining components. We formulate this maintenance problem as a Markov decision process (MDP) with an objective of minimising a total discounted maintenance cost. However, the action set and state space in MDP exponentially grow as the number of components increases. This makes traditional approaches computationally intractable. To deal with this curse of dimensionality, a modified iterative aggregation procedure (MIAP) is proposed. We mathematically prove that iterations in MIAP guarantee the convergence and the policy obtained is optimal. Numerical case studies find that failure interaction should not be ignored in a maintenance policy decision making and the proposed MIAP is faster and requires less computational memory size than that of linear programming. Journal: International Journal of Systems Science Pages: 2480-2489 Issue: 12 Volume: 45 Year: 2014 Month: 12 X-DOI: 10.1080/00207721.2013.771759 File-URL: http://hdl.handle.net/10.1080/00207721.2013.771759 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:12:p:2480-2489 Template-Type: ReDIF-Article 1.0 Author-Name: Ahsene Boubakir Author-X-Name-First: Ahsene Author-X-Name-Last: Boubakir Author-Name: Salim Labiod Author-X-Name-First: Salim Author-X-Name-Last: Labiod Author-Name: Fares Boudjema Author-X-Name-First: Fares Author-X-Name-Last: Boudjema Author-Name: Franck Plestan Author-X-Name-First: Franck Author-X-Name-Last: Plestan Title: Linear adaptive control of a class of SISO nonaffine nonlinear systems Abstract: This paper addresses the problem of linear adaptive control for a class of uncertain continuous-time single-input single-output (SISO) nonaffine nonlinear dynamic systems. Using the implicit function theory, the existence of an ideal controller which can achieve control objectives is firstly demonstrated. However, this ideal controller cannot be known and computed even if the system model is well known. The aim of our work is to construct this unknown ideal controller using a simple linear controller with the free parameters updated online by a stable adaptation mechanism designed to minimise the error between the unknown ideal controller and the used linear controller. Since the mathematical model of the system is assumed unknown in this work, the proposed control scheme can be regarded as a simple model free controller for the studied class of nonaffine systems. We prove that the closed-loop system is stable and all the signals are bounded. An application of the proposed linear adaptive controller for a nonaffine system is illustrated through the simulation results to demonstrate the effectiveness of the proposed control scheme. Journal: International Journal of Systems Science Pages: 2490-2498 Issue: 12 Volume: 45 Year: 2014 Month: 12 X-DOI: 10.1080/00207721.2013.772259 File-URL: http://hdl.handle.net/10.1080/00207721.2013.772259 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:12:p:2490-2498 Template-Type: ReDIF-Article 1.0 Author-Name: Hyondong Oh Author-X-Name-First: Hyondong Author-X-Name-Last: Oh Author-Name: Seungkeun Kim Author-X-Name-First: Seungkeun Author-X-Name-Last: Kim Author-Name: Hyo-Sang Shin Author-X-Name-First: Hyo-Sang Author-X-Name-Last: Shin Author-Name: Antonios Tsourdos Author-X-Name-First: Antonios Author-X-Name-Last: Tsourdos Author-Name: Brian A. White Author-X-Name-First: Brian A. Author-X-Name-Last: White Title: Behaviour recognition of ground vehicle using airborne monitoring of unmanned aerial vehicles Abstract: This paper proposes a behaviour recognition methodology for ground vehicles moving within road traffic using unmanned aerial vehicles in order to identify suspicious or abnormal behaviour. With the target information acquired by unmanned aerial vehicles and estimated by filtering techniques, ground vehicle behaviour is first classified into representative driving modes, and then a string pattern matching theory is applied to detect suspicious behaviours in the driving mode history. Furthermore, a fuzzy decision-making process is developed to systematically exploit all available information obtained from a complex environment and confirm the characteristic of behaviour, while considering spatiotemporal environment factors as well as several aspects of behaviours. To verify the feasibility and benefits of the proposed approach, numerical simulations on moving ground vehicles are performed using realistic car trajectory data from an off-the-shelf traffic simulation software. Journal: International Journal of Systems Science Pages: 2499-2514 Issue: 12 Volume: 45 Year: 2014 Month: 12 X-DOI: 10.1080/00207721.2013.772677 File-URL: http://hdl.handle.net/10.1080/00207721.2013.772677 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:12:p:2499-2514 Template-Type: ReDIF-Article 1.0 Author-Name: Anugrah K. Pamosoaji Author-X-Name-First: Anugrah K. Author-X-Name-Last: Pamosoaji Author-Name: Pham Thuong Cat Author-X-Name-First: Pham Thuong Author-X-Name-Last: Cat Author-Name: Keum-Shik Hong Author-X-Name-First: Keum-Shik Author-X-Name-Last: Hong Title: Sliding-mode and proportional-derivative-type motion control with radial basis function neural network based estimators for wheeled vehicles Abstract: An obstacle avoidance problem of rear-steered wheeled vehicles in consideration of the presence of uncertainties is addressed. Modelling errors and additional uncertainties are taken into consideration. Controller designs for driving and steering motors are designed. A proportional-derivative-type driving motor controller and a sliding-mode steering controller combined with radial basis function neural network (RBFNN) based estimators are proposed. The convergence properties of the RBFNN-based estimators are proven by the Stone–Weierstrass theorem. The stability of the proposed control law is proven using Lyapunov stability analysis. The obstacle avoidance strategy utilising the sliding surface adjustment to an existing navigation method is presented. It is concluded that the driving velocity and steering-angle performances of the proposed control system are satisfactory. Journal: International Journal of Systems Science Pages: 2515-2528 Issue: 12 Volume: 45 Year: 2014 Month: 12 X-DOI: 10.1080/00207721.2013.772678 File-URL: http://hdl.handle.net/10.1080/00207721.2013.772678 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:12:p:2515-2528 Template-Type: ReDIF-Article 1.0 Author-Name: Hsien-Jen Lin Author-X-Name-First: Hsien-Jen Author-X-Name-Last: Lin Author-Name: Yu-Jen Lin Author-X-Name-First: Yu-Jen Author-X-Name-Last: Lin Title: Supply chain coordination with defective items and quantity discount Abstract: This study develops an integrated inventory system involving defective items and quantity discount for optimal pricing and ordering strategies. The model analysed in this study is one in which the buyer orders a quantity, the vendor produces more than buyer's order quantity in order to reduce set-up cost, and then he/she offers an all-units quantity discount to the buyer. Our objective is to determine the optimal order quantity, retail price, mark-up rate, and the number of shipments per production run from the vendor to the buyer, so that the entire supply chain joint total profit incurred has a maximum value. Furthermore, an algorithm of finding the optimal solution is developed. Numerical examples are provided to illustrate the theoretical results. Journal: International Journal of Systems Science Pages: 2529-2538 Issue: 12 Volume: 45 Year: 2014 Month: 12 X-DOI: 10.1080/00207721.2013.773468 File-URL: http://hdl.handle.net/10.1080/00207721.2013.773468 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:12:p:2529-2538 Template-Type: ReDIF-Article 1.0 Author-Name: Om Prakash Author-X-Name-First: Om Author-X-Name-Last: Prakash Author-Name: A.R. Roy Author-X-Name-First: A.R. Author-X-Name-Last: Roy Author-Name: A. Goswami Author-X-Name-First: A. Author-X-Name-Last: Goswami Title: Stochastic manufacturing system with process deterioration and machine breakdown Abstract: This paper presents a realistic manufacturing inventory model with process deterioration and machine breakdown. In economic manufacturing quantity model, process usually starts with ‘in-control’ state and produces items of good quality. After some random point of time, process may deteriorate and shift to ‘out-of-control’ state due to occurrence of assignable cause. From that point, process produces some percentage of non-conforming items. Further process deterioration after machine shift may result in machine breakdown at any random time during the production period. If machine breakdown occurs during the production period, then corrective (emergency) repair is performed immediately otherwise preventive (regular) repair is performed at the end of production period. The proposed model is formulated assuming that the time required for production facility shifting from ‘in-control’ state to ‘out-of-control’ state, time when machine breaks down, corrective and preventive repairing time and demand of items follows probability distribution. We have derived analytically the optimal production time which minimises the total expected production cost annually for machine breakdown and no machine breakdown cases. The solution procedure is illustrated with the help of numerical examples for different probability distributions. Sensitivity of the optimal solution with respect to different parameters are also analysed. Journal: International Journal of Systems Science Pages: 2539-2551 Issue: 12 Volume: 45 Year: 2014 Month: 12 X-DOI: 10.1080/00207721.2013.773469 File-URL: http://hdl.handle.net/10.1080/00207721.2013.773469 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:12:p:2539-2551 Template-Type: ReDIF-Article 1.0 Author-Name: Huanqing Wang Author-X-Name-First: Huanqing Author-X-Name-Last: Wang Author-Name: Bing Chen Author-X-Name-First: Bing Author-X-Name-Last: Chen Author-Name: Chong Lin Author-X-Name-First: Chong Author-X-Name-Last: Lin Title: Adaptive fuzzy control for pure-feedback stochastic nonlinear systems with unknown dead-zone input Abstract: This paper is concerned with the problem of adaptive fuzzy output tracking control for a class of nonlinear pure-feedback stochastic systems with unknown dead-zone. Fuzzy logic systems in Mamdani type are used to approximate the unknown nonlinearities, then a novel adaptive fuzzy tracking controller is designed by using backstepping technique. The control scheme is systematically derived without requiring any information on the boundedness of dead-zone parameters (slopes and break-points) and the repeated differentiation of the virtual control signals. The proposed adaptive fuzzy controller guarantees that all the signals in the closed-loop system are bounded in probability and the system output eventually converges to a small neighbourhood of the desired reference signal in the sense of mean quartic value. Simulation results further illustrate the effectiveness of the proposed control scheme. Journal: International Journal of Systems Science Pages: 2552-2564 Issue: 12 Volume: 45 Year: 2014 Month: 12 X-DOI: 10.1080/00207721.2013.773470 File-URL: http://hdl.handle.net/10.1080/00207721.2013.773470 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:12:p:2552-2564 Template-Type: ReDIF-Article 1.0 Author-Name: He Huang Author-X-Name-First: He Author-X-Name-Last: Huang Author-Name: Dewei Li Author-X-Name-First: Dewei Author-X-Name-Last: Li Author-Name: Yugeng Xi Author-X-Name-First: Yugeng Author-X-Name-Last: Xi Title: Mixed / robust model predictive control with saturated inputs Abstract: In this paper, we investigate the mixed H2/H∞ robust model predictive control (RMPC) for polytopic uncertain systems, which refers to the infinite horizon optimal guaranteed cost control (OGCC). To fully use the capability of actuators, we adopt a saturating feedback control law as the control strategy of RMPC. As the saturating feedback control law can be effectively represented by the convex hull of a group of auxiliary linear feedback laws, the auxiliary feedback laws allow us to design the actual feedback control law without consideration of the input constraints directly to achieve the improved performance. Moreover, we suggest the relative weights on the actual and auxiliary feedback laws to the RMPC, which in turn improves the closed-loop system performance. Furthermore, an off-line design of the proposed RMPC is also developed to make it more practical. Numerical studies demonstrate the effectiveness of the proposed algorithm. Journal: International Journal of Systems Science Pages: 2565-2575 Issue: 12 Volume: 45 Year: 2014 Month: 12 X-DOI: 10.1080/00207721.2013.773471 File-URL: http://hdl.handle.net/10.1080/00207721.2013.773471 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:12:p:2565-2575 Template-Type: ReDIF-Article 1.0 Author-Name: Huijiao Wang Author-X-Name-First: Huijiao Author-X-Name-Last: Wang Author-Name: Anke Xue Author-X-Name-First: Anke Author-X-Name-Last: Xue Author-Name: Renquan Lu Author-X-Name-First: Renquan Author-X-Name-Last: Lu Title: New stability criteria for singular systems with time-varying delay and nonlinear perturbations Abstract: This paper concerns the stability analysis for singular systems with time-varying delay and nonlinear perturbations. Two cases of time-varying delay, which is differentiable (Case 1) or not differentiable (Case 2), are considered. The considered nonlinear perturbations includes the norm-bounded uncertainties as a special case. Some delay-dependent stability criteria are derived by using a delay decomposition approach. In the delay decomposition approach, the entire delay interval is divided into multiple sub-intervals for which different energy functions are defined for building new Lyapunov–Krasovskii functional. Some numerical and practical examples are given to show the effectiveness and significant improvement of the proposed method. Journal: International Journal of Systems Science Pages: 2576-2589 Issue: 12 Volume: 45 Year: 2014 Month: 12 X-DOI: 10.1080/00207721.2013.773472 File-URL: http://hdl.handle.net/10.1080/00207721.2013.773472 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:12:p:2576-2589 Template-Type: ReDIF-Article 1.0 Author-Name: Andrés Bustillo Author-X-Name-First: Andrés Author-X-Name-Last: Bustillo Author-Name: Juan J. Rodríguez Author-X-Name-First: Juan J. Author-X-Name-Last: Rodríguez Title: Online breakage detection of multitooth tools using classifier ensembles for imbalanced data Abstract: Cutting tool breakage detection is an important task, due to its economic impact on mass production lines in the automobile industry. This task presents a central limitation: real data-sets are extremely imbalanced because breakage occurs in very few cases compared with normal operation of the cutting process. In this paper, we present an analysis of different data-mining techniques applied to the detection of insert breakage in multitooth tools. The analysis applies only one experimental variable: the electrical power consumption of the tool drive. This restriction profiles real industrial conditions more accurately than other physical variables, such as acoustic or vibration signals, which are not so easily measured. Many efforts have been made to design a method that is able to identify breakages with a high degree of reliability within a short period of time. The solution is based on classifier ensembles for imbalanced data-sets. Classifier ensembles are combinations of classifiers, which in many situations are more accurate than individual classifiers. Six different base classifiers are tested: Decision Trees, Rules, Naïve Bayes, Nearest Neighbour, Multilayer Perceptrons and Logistic Regression. Three different balancing strategies are tested with each of the classifier ensembles and compared to their performance with the original data-set: Synthetic Minority Over-Sampling Technique (SMOTE), undersampling and a combination of SMOTE and undersampling. To identify the most suitable data-mining solution, Receiver Operating Characteristics (ROC) graph and Recall-precision graph are generated and discussed. The performance of logistic regression ensembles on the balanced data-set using the combination of SMOTE and undersampling turned out to be the most suitable technique. Finally a comparison using industrial performance measures is presented, which concludes that this technique is also more suited to this industrial problem than the other techniques presented in the bibliography. Journal: International Journal of Systems Science Pages: 2590-2602 Issue: 12 Volume: 45 Year: 2014 Month: 12 X-DOI: 10.1080/00207721.2013.775378 File-URL: http://hdl.handle.net/10.1080/00207721.2013.775378 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:12:p:2590-2602 Template-Type: ReDIF-Article 1.0 Author-Name: Gregor Klančar Author-X-Name-First: Gregor Author-X-Name-Last: Klančar Author-Name: Luka Teslić Author-X-Name-First: Luka Author-X-Name-Last: Teslić Author-Name: Igor Škrjanc Author-X-Name-First: Igor Author-X-Name-Last: Škrjanc Title: Mobile-robot pose estimation and environment mapping using an extended Kalman filter Abstract: In this paper an extended Kalman filter (EKF) is used in the simultaneous localisation and mapping (SLAM) of a four-wheeled mobile robot in an indoor environment. The robot’s pose and environment map are estimated from incremental encoders and from laser-range-finder (LRF) sensor readings. The map of the environment consists of line segments, which are estimated from the LRF’s scans. A good state convergence of the EKF is obtained using the proposed methods for the input- and output-noise covariance matrices’ estimation. The output-noise covariance matrix, consisting of the observed-line-features’ covariances, is estimated from the LRF’s measurements using the least-squares method. The experimental results from the localisation and SLAM experiments in the indoor environment show the applicability of the proposed approach. The main paper contribution is the improvement of the SLAM algorithm convergence due to the noise covariance matrices’ estimation. Journal: International Journal of Systems Science Pages: 2603-2618 Issue: 12 Volume: 45 Year: 2014 Month: 12 X-DOI: 10.1080/00207721.2013.775379 File-URL: http://hdl.handle.net/10.1080/00207721.2013.775379 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:12:p:2603-2618 Template-Type: ReDIF-Article 1.0 Author-Name: Sajid Ali Author-X-Name-First: Sajid Author-X-Name-Last: Ali Author-Name: Muhammad Aslam Author-X-Name-First: Muhammad Author-X-Name-Last: Aslam Author-Name: Mohsin Ali Author-X-Name-First: Mohsin Author-X-Name-Last: Ali Title: Heterogeneous data analysis using a mixture of Laplace models with conjugate priors Abstract: The development of flexible parametric classes of probability models in Bayesian analysis is a very popular approach. This study is designed for heterogeneous population for a two-component mixture of the Laplace probability distribution. When a process initially starts, the researcher expects that the failure components will be very high but after some improvement/inspection it is assumed that the failure components will decrease sufficiently. That is why in such situation the Laplace model is more suitable as compared to the normal distribution due to its fatter tails behaviour. We considered the derivation of the posterior distribution for censored data assuming different conjugate informative priors. Various kinds of loss functions are used to derive these Bayes estimators and their posterior risks. A method of elicitation of hyperparameter is discussed based on a prior predictive approach. The results are also compared with the non-informative priors. To examine the performance of these estimators we have evaluated their properties for different sample sizes, censoring rates and proportions of the component of the mixture through the simulation study. To highlight the practical significance we have included an illustrative application example based on real-life mixture data. Journal: International Journal of Systems Science Pages: 2619-2636 Issue: 12 Volume: 45 Year: 2014 Month: 12 X-DOI: 10.1080/00207721.2013.775381 File-URL: http://hdl.handle.net/10.1080/00207721.2013.775381 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:12:p:2619-2636 Template-Type: ReDIF-Article 1.0 Author-Name: Ho-Lim Choi Author-X-Name-First: Ho-Lim Author-X-Name-Last: Choi Title: On asymptotic stabilisation of a chain of integrators with nonlinearity and an uncertain input delay by output feedback Abstract: In this paper, we provide an output feedback solution over one given by Choi and Lim [Systems & Control Letters, 59(6), 374–379 (2010)] under more generalised system set-up. More specifically, we consider a stabilisation problem of a chain of integrators that has nonlinearity and an uncertain delay in the input by output feedback. The nonlinearity is classified into four types. Then, we propose a memoryless output feedback controller which contains a gain-scaling factor to adjust controller gains depending on the given nonlinearity type. Our stability analysis shows that the controlled system has unique stabilisation result associated with each type of nonlinearity. Our result provides a new aspect to the stabilisation problem of nonlinear time-delay systems and broadens the existing control results of time-delay systems. Two examples are given for illustration. Journal: International Journal of Systems Science Pages: 2637-2644 Issue: 12 Volume: 45 Year: 2014 Month: 12 X-DOI: 10.1080/00207721.2013.775382 File-URL: http://hdl.handle.net/10.1080/00207721.2013.775382 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:12:p:2637-2644 Template-Type: ReDIF-Article 1.0 Author-Name: Chih-Ming Hsu Author-X-Name-First: Chih-Ming Author-X-Name-Last: Hsu Title: An integrated portfolio optimisation procedure based on data envelopment analysis, artificial bee colony algorithm and genetic programming Abstract: Portfolio optimisation is an important issue in the field of investment/financial decision-making and has received considerable attention from both researchers and practitioners. However, besides portfolio optimisation, a complete investment procedure should also include the selection of profitable investment targets and determine the optimal timing for buying/selling the investment targets. In this study, an integrated procedure using data envelopment analysis (DEA), artificial bee colony (ABC) and genetic programming (GP) is proposed to resolve a portfolio optimisation problem. The proposed procedure is evaluated through a case study on investing in stocks in the semiconductor sub-section of the Taiwan stock market for 4 years. The potential average 6-month return on investment of 9.31% from 1 November 2007 to 31 October 2011 indicates that the proposed procedure can be considered a feasible and effective tool for making outstanding investment plans, and thus making profits in the Taiwan stock market. Moreover, it is a strategy that can help investors to make profits even when the overall stock market suffers a loss. Journal: International Journal of Systems Science Pages: 2645-2664 Issue: 12 Volume: 45 Year: 2014 Month: 12 X-DOI: 10.1080/00207721.2013.775388 File-URL: http://hdl.handle.net/10.1080/00207721.2013.775388 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:12:p:2645-2664 Template-Type: ReDIF-Article 1.0 Author-Name: Editors Title: International Journal of Systems Science Abstract: Journal: International Journal of Systems Science Pages: ebi-ebi Issue: 12 Volume: 45 Year: 2014 Month: 12 X-DOI: 10.1080/00207721.2014.944326 File-URL: http://hdl.handle.net/10.1080/00207721.2014.944326 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:12:p:ebi-ebi Template-Type: ReDIF-Article 1.0 Author-Name: Guopeng Wang Author-X-Name-First: Guopeng Author-X-Name-Last: Wang Author-Name: Huiling Xu Author-X-Name-First: Huiling Author-X-Name-Last: Xu Author-Name: Xiaokai Zhai Author-X-Name-First: Xiaokai Author-X-Name-Last: Zhai Author-Name: Juan Yao Author-X-Name-First: Juan Author-X-Name-Last: Yao Title: N-D representation and generalised Kalman–Yakubivich–Popov lemma of spatially interconnected systems with interconnected chains Abstract: This paper presents a multidimensional (N-D) hybrid Roesser model for a class of spatially interconnected systems (SISs) with interconnected chains. A generalised Kalman–Yakubivich–Popov (KYP) lemma for N-D hybrid Roesser model is developed, which plays a significant role in the system control and synthesis. As the application of the developed generalised KYP lemma, robust finite-frequency H∞ filter problem for SISs with interconnected chains is studied. Moreover, it is shown that the developed finite-frequency filter design methods are generally less conservative than the entire frequency ones. Finally, a practical example is provided to validate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 3160-3171 Issue: 15 Volume: 48 Year: 2017 Month: 11 X-DOI: 10.1080/00207721.2017.1367431 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1367431 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3160-3171 Template-Type: ReDIF-Article 1.0 Author-Name: Xuxi Zhang Author-X-Name-First: Xuxi Author-X-Name-Last: Zhang Author-Name: Xianping Liu Author-X-Name-First: Xianping Author-X-Name-Last: Liu Title: Consensus of linear multi-agent systems with exogenous disturbance generated from heterogeneous exosystems Abstract: This paper addresses the consensus tracking problem for multi-agent linear systems subject to exogenous disturbances generated from heterogeneous exosystems. For the case that the disturbances are generated from linear heterogeneous exosystems, a linear disturbance observer and distributed control law are proposed, and sufficient condition for consensus tracking is established by combining the input-to-state stability and Lyapunov analysis methods. For the case when the disturbances are generated from non-linear heterogeneous exosystems, a non-linear disturbance observer is presented to estimate such disturbance by using the dynamic gain technique; then, a distributed control law is designed, and sufficient condition is also presented for achieving consensus tracking. Two simulation examples are provided to demonstrate the effectiveness of the proposed consensus protocols. Journal: International Journal of Systems Science Pages: 3147-3159 Issue: 15 Volume: 48 Year: 2017 Month: 11 X-DOI: 10.1080/00207721.2017.1367432 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1367432 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3147-3159 Template-Type: ReDIF-Article 1.0 Author-Name: Hong-Gang Peng Author-X-Name-First: Hong-Gang Author-X-Name-Last: Peng Author-Name: Jian-Qiang Wang Author-X-Name-First: Jian-Qiang Author-X-Name-Last: Wang Title: Cloud decision model for selecting sustainable energy crop based on linguistic intuitionistic information Abstract: In recent years, sustainable energy crop has become an important energy development strategy topic in many countries. Selecting the most sustainable energy crop is a significant problem that must be addressed during any biofuel production process. The focus of this study is the development of an innovative multi-criteria decision-making (MCDM) method to handle sustainable energy crop selection problems. Given that various uncertain data are encountered in the evaluation of sustainable energy crops, linguistic intuitionistic fuzzy numbers (LIFNs) are introduced to present the information necessary to the evaluation process. Processing qualitative concepts requires the effective support of reliable tools; then, a cloud model can be used to deal with linguistic intuitionistic information. First, LIFNs are converted and a novel concept of linguistic intuitionistic cloud (LIC) is proposed. The operations, score function and similarity measurement of the LICs are defined. Subsequently, the linguistic intuitionistic cloud density-prioritised weighted Heronian mean operator is developed, which served as the basis for the construction of an applicable MCDM model for sustainable energy crop selection. Finally, an illustrative example is provided to demonstrate the proposed method, and its feasibility and validity are further verified by comparing it with other existing methods. Journal: International Journal of Systems Science Pages: 3316-3333 Issue: 15 Volume: 48 Year: 2017 Month: 11 X-DOI: 10.1080/00207721.2017.1367433 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1367433 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3316-3333 Template-Type: ReDIF-Article 1.0 Author-Name: M. Syed Ali Author-X-Name-First: M. Syed Author-X-Name-Last: Ali Author-Name: S. Saravanan Author-X-Name-First: S. Author-X-Name-Last: Saravanan Author-Name: Quanxin Zhu Author-X-Name-First: Quanxin Author-X-Name-Last: Zhu Title: Finite-time stability of neutral-type neural networks with random time-varying delays Abstract: This paper is devoted to the finite-time stability analysis of neutral-type neural networks with random time-varying delays. The randomly time-varying delays are characterised by Bernoulli stochastic variable. This result can be extended to analysis and design for neutral-type neural networks with random time-varying delays. On the basis of this paper, we constructed suitable Lyapunov–Krasovskii functional together and established a set of sufficient linear matrix inequalities approach to guarantee the finite-time stability of the system concerned. By employing the Jensen's inequality, free-weighting matrix method and Wirtinger's double integral inequality, the proposed conditions are derived and two numerical examples are addressed for the effectiveness of the developed techniques. Journal: International Journal of Systems Science Pages: 3279-3295 Issue: 15 Volume: 48 Year: 2017 Month: 11 X-DOI: 10.1080/00207721.2017.1367434 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1367434 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3279-3295 Template-Type: ReDIF-Article 1.0 Author-Name: Yuanhong Ren Author-X-Name-First: Yuanhong Author-X-Name-Last: Ren Author-Name: Weiqun Wang Author-X-Name-First: Weiqun Author-X-Name-Last: Wang Author-Name: Yixiang Wang Author-X-Name-First: Yixiang Author-X-Name-Last: Wang Title: Exponentially incremental (Q, S, R)-dissipativity and incremental stability for switched time-varying nonlinear systems Abstract: Exponentially incremental (Q,S,R)-dissipativityand incremental stability for switched time-varying nonlinear systems are studied whose subsystems are not required to be exponentially incrementally (Q,S,R)-dissipative. The sufficient conditions for switched time-varying nonlinear systems to be exponentially incrementally (Q,S,R)-dissipative are presented by the design of state-dependent switching laws. Incremental stability for switched time-varying nonlinear systems are derived based on exponentially incremental (Q,S,R)-dissipativity. Exponentially incremental (Q,S,R)-dissipativity is shown to be preserved under feedback interconnection by the design of a composite state-dependent switching law. Two simulation examples are provided to show the effectiveness of the proposed approaches. Journal: International Journal of Systems Science Pages: 3201-3214 Issue: 15 Volume: 48 Year: 2017 Month: 11 X-DOI: 10.1080/00207721.2017.1367435 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1367435 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3201-3214 Template-Type: ReDIF-Article 1.0 Author-Name: S. Hadj Saïd Author-X-Name-First: S. Hadj Author-X-Name-Last: Saïd Author-Name: F. M'Sahli Author-X-Name-First: F. Author-X-Name-Last: M'Sahli Author-Name: M. Farza Author-X-Name-First: M. Author-X-Name-Last: Farza Title: Simultaneous state and unknown input reconstruction using cascaded high-gain observers Abstract: This paper presents a systematic routine for jointly reconstruct the state variables and the unknown inputs (UIs) for a large class of nonlinear MIMO systems. After an appropriate change of state coordinates, a set of cascade high-gain observers (CHGO) are designed in such a way that each of them provides an estimation of only one component of the UI vector, except the last one which gives a final adjustment of the whole state variables. Such design achieves a boundary of the state estimation error which can be arbitrarily small by properly specifying the sole synthesis parameter. An illustrative example verifies the effectiveness of the proposed scheme. Journal: International Journal of Systems Science Pages: 3346-3354 Issue: 15 Volume: 48 Year: 2017 Month: 11 X-DOI: 10.1080/00207721.2017.1367863 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1367863 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3346-3354 Template-Type: ReDIF-Article 1.0 Author-Name: Yankai Li Author-X-Name-First: Yankai Author-X-Name-Last: Li Author-Name: Haibin Sun Author-X-Name-First: Haibin Author-X-Name-Last: Sun Author-Name: Guangdeng Zong Author-X-Name-First: Guangdeng Author-X-Name-Last: Zong Author-Name: Linlin Hou Author-X-Name-First: Linlin Author-X-Name-Last: Hou Title: Anti-disturbance control for time-varying delay Markovian jump nonlinear systems with multiple disturbances Abstract: In this paper, the problem of composite anti-disturbance resilient control is addressed for time-varying delay Markovian jump nonlinear systems with multiple disturbances. The disturbances are assumed to include two parts: the first one in the input channel is described by an external system with perturbations; the second one is supposed to be bounded H2 norm. By combining disturbance observer and L2–L∞ control method, the disturbances are attenuated and rejected, simultaneously, and the desired dynamic performance can be obtained for time-varying delay Markovian jump nonlinear systems. Moreover, the gains of the resilient controller and the observer are acquired by applying linear matrix inequalities (LMIs) technology. Finally, an application example is presented to show the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 3186-3200 Issue: 15 Volume: 48 Year: 2017 Month: 11 X-DOI: 10.1080/00207721.2017.1367864 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1367864 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3186-3200 Template-Type: ReDIF-Article 1.0 Author-Name: Yiwen Qi Author-X-Name-First: Yiwen Author-X-Name-Last: Qi Author-Name: Pengyu Zeng Author-X-Name-First: Pengyu Author-X-Name-Last: Zeng Author-Name: Wen Bao Author-X-Name-First: Wen Author-X-Name-Last: Bao Author-Name: Zhigang Feng Author-X-Name-First: Zhigang Author-X-Name-Last: Feng Title: Event-triggered robust control for uncertain switched linear systems Abstract: In this paper, an event-triggering scheme is implemented in uncertain switched linear systems with time-varying delays and exogenous disturbance. Instead of standard periodically time-triggered, sampled-data control systems, the event-triggered control systems sample data only when an event, typically defined as some performance error exceeding a tolerant bound, occurs. Specifically, considering the disturbance existing in the system, the event-triggered robust H∞ control problem is studied. In order to guarantee the robust H∞ performance, the event-triggered full state feedback control, multiple Lyapunov functions method and state-dependent switching law are utilised to construct sufficient conditions in terms of linear matrix inequalities. In particular, since the event-triggered signals and switching signals may interlace with each other, the influence from them on the analysis of robust H∞ performance is clarified. Subsequently, sufficient design conditions of the sub-controllers’ gains are further presented. Moreover, the Zeno problem is discussed to exclude continuously triggering and sampling. Finally, numerical simulations are provided to verify the feasibility of the proposed approach. Journal: International Journal of Systems Science Pages: 3172-3185 Issue: 15 Volume: 48 Year: 2017 Month: 11 X-DOI: 10.1080/00207721.2017.1367865 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1367865 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3172-3185 Template-Type: ReDIF-Article 1.0 Author-Name: Sheng-Kun Li Author-X-Name-First: Sheng-Kun Author-X-Name-Last: Li Title: Iterative (, )-conjugate solutions to the generalised coupled Sylvester matrix equations Abstract: For given symmetric orthogonal matrices R, S, i.e. RT = R, R2 = I, ST = S, S2 = I, a matrix A∈Cn×s$A\in \mathbb {C}^{n\times s}$ is termed (R, S)-conjugate matrix if RAS=A‾$RAS=\overline{A}$. In this paper, an iterative method is constructed to find the (R, S)-conjugate solutions of the generalised coupled Sylvester matrix equations. The consistency of the considered matrix equations over (R, S)-conjugate matrices is discussed. When the matrix equations have a unique (R, S)-conjugate solution pair, the proposed method is convergent for any initial (R, S)-conjugate matrix pair under a loose restriction on the convergent factor. Moreover, the optimal convergent factor of the presented method is derived. Finally, some numerical examples are given to illustrate the results and effectiveness. Journal: International Journal of Systems Science Pages: 3355-3362 Issue: 15 Volume: 48 Year: 2017 Month: 11 X-DOI: 10.1080/00207721.2017.1367971 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1367971 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3355-3362 Template-Type: ReDIF-Article 1.0 Author-Name: Yunjian Xu Author-X-Name-First: Yunjian Author-X-Name-Last: Xu Author-Name: Shiguo Peng Author-X-Name-First: Shiguo Author-X-Name-Last: Peng Author-Name: Aiyin Guo Author-X-Name-First: Aiyin Author-X-Name-Last: Guo Title: Leader-following consensus of nonlinear multi-agent systems with randomly occurring uncertainties and stochastic disturbances under impulsive control input Abstract: This paper focuses on the leader-following consensus problem of nonlinear multi-agent systems with randomly occurring uncertainties and stochastic disturbances under impulsive control input. Based on the average impulsive interval, a unified consensus criterion is derived for multi-agent systems. On the other hand, our consensus criterion is applicable to impulsive control sequences in which the lower bound of impulsive interval is allowed to be arbitrarily small and the upper bound of impulsive interval is allowed to be big enough. The proposed consensus criterion is theoretically and numerically proved to be less conservative than existing results. Two numerical simulations illustrate the effectiveness of theoretical results. Journal: International Journal of Systems Science Pages: 3138-3146 Issue: 15 Volume: 48 Year: 2017 Month: 11 X-DOI: 10.1080/00207721.2017.1367972 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1367972 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3138-3146 Template-Type: ReDIF-Article 1.0 Author-Name: Satnesh Singh Author-X-Name-First: Satnesh Author-X-Name-Last: Singh Author-Name: Sivaramakrishnan Janardhanan Author-X-Name-First: Sivaramakrishnan Author-X-Name-Last: Janardhanan Title: Sliding mode control-based linear functional observers for discrete-time stochastic systems Abstract: Sliding mode control (SMC) is one of the most popular techniques to stabilise linear discrete-time stochastic systems. However, application of SMC becomes difficult when the system states are not available for feedback. This paper presents a new approach to design a SMC-based functional observer for discrete-time stochastic systems. The functional observer is based on the Kronecker product approach. Existence conditions and stability analysis of the proposed observer are given. The control input is estimated by a novel linear functional observer. This approach leads to a non-switching type of control, thereby eliminating the fundamental cause of chatter. Furthermore, the functional observer is designed in such a way that the effect of process and measurement noise is minimised. Simulation example is given to illustrate and validate the proposed design method. Journal: International Journal of Systems Science Pages: 3246-3253 Issue: 15 Volume: 48 Year: 2017 Month: 11 X-DOI: 10.1080/00207721.2017.1367973 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1367973 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3246-3253 Template-Type: ReDIF-Article 1.0 Author-Name: Jian Zhang Author-X-Name-First: Jian Author-X-Name-Last: Zhang Author-Name: Qinglei Hu Author-X-Name-First: Qinglei Author-X-Name-Last: Hu Author-Name: Wenbo Xie Author-X-Name-First: Wenbo Author-X-Name-Last: Xie Title: Integral sliding mode-based attitude coordinated tracking for spacecraft formation with communication delays Abstract: This paper investigates the attitude coordinated tracking control for a group of rigid spacecraft under directed communication topology, in which inertia uncertainties, external disturbances, input saturation and constant time-delays between the formation members are handled. Initially, the nominal system with communication delays is studied. A delay-dependent controller is proposed by using Lyapunov–Krasovskii function and sufficient condition for system stability is derived. Then, an integral sliding manifold is designed and adaptive control approach is employed to deal with the total perturbation. Meanwhile, the boundary layer method is introduced to alleviate the unexpected chattering as system trajectories cross the switching surface. Finally, numerical simulation results are presented to validate the effectiveness and robustness of the proposed control strategy. Journal: International Journal of Systems Science Pages: 3254-3266 Issue: 15 Volume: 48 Year: 2017 Month: 11 X-DOI: 10.1080/00207721.2017.1371359 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1371359 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3254-3266 Template-Type: ReDIF-Article 1.0 Author-Name: A. Gonzalez Author-X-Name-First: A. Author-X-Name-Last: Gonzalez Author-Name: V. Estrada-Manzo Author-X-Name-First: V. Author-X-Name-Last: Estrada-Manzo Author-Name: T.M. Guerra Author-X-Name-First: T.M. Author-X-Name-Last: Guerra Title: Gain-scheduled admissibilisation of LPV discrete-time systems with LPV singular descriptor Abstract: This paper deals with the admissibilisation with guaranteed H∞ performance of linear parameter-varying (LPV) discrete-time singular systems under gain-scheduled (GS) state-feedback control. In particular, we focus on systems with descriptor matrix of LPV form and unknown/unmeasurable disturbance input. To our best knowledge and despite its practical interest, this problem has not been fully investigated and still poses relevant issues, which motivates our study. By means of a proposed descriptor redundancy approach, in combination with the bounded real lemma and Finsler's Lemma, a method based on linear matrix inequalities is proposed to design a GS state-feedback control with maximum H∞ performance. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 3215-3224 Issue: 15 Volume: 48 Year: 2017 Month: 11 X-DOI: 10.1080/00207721.2017.1371360 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1371360 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3215-3224 Template-Type: ReDIF-Article 1.0 Author-Name: Yanhui Li Author-X-Name-First: Yanhui Author-X-Name-Last: Li Author-Name: Yulong Li Author-X-Name-First: Yulong Author-X-Name-Last: Li Title: Robust output tracking control for uncertain networked control systems described by T-S fuzzy model with distributed delays Abstract: This paper concentrates on investigating the robust L1 output tracking control problem for the networked control systems described by Takagi–Sugeno fuzzy model with distributed delays and uncertainties. First, according to the parallel distributed compensation and Lyapunov theory, a fuzzy delay-dependent and basis-dependent Lyapunov–Krasovskii function that contributes to reducing the conservatism is constructed. Second, the L1 performance criterion guaranteeing the asymptotic stability of the corresponding tracking control system and satisfying the prescribed tracking performance is derived. Furthermore, the output tracking control problem is converted into a convex optimisation problem. Finally, the results from simulation certify the effectiveness of the designed controller. Journal: International Journal of Systems Science Pages: 3296-3304 Issue: 15 Volume: 48 Year: 2017 Month: 11 X-DOI: 10.1080/00207721.2017.1375166 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1375166 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3296-3304 Template-Type: ReDIF-Article 1.0 Author-Name: Chao Deng Author-X-Name-First: Chao Author-X-Name-Last: Deng Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Distributed adaptive consensus for linear multi-agent systems with quantised information Abstract: This paper considers the distributed adaptive consensus problem for linear multi-agent systems with quantised relative information. By using a lemma in algebraic graph theory and introducing a projection operator in adaptive law, a novel distributed adaptive state feedback controller is designed with quantised relative state information. It is shown that the practical consensus for multi-agent systems with a uniform quantiser is achieved via the Lyapunov theory and the non-smooth analysis. In contrast with the existing quantised controllers, which rely on the minimum nonzero eigenvalue of the Laplacian matrix, the developed controller is only dependent on the number of nodes. Furthermore, a dynamic output feedback controller based on quantised relative output information is proposed. Finally, a simulation example is given to illustrate the effectiveness of the proposed control scheme. Journal: International Journal of Systems Science Pages: 3129-3137 Issue: 15 Volume: 48 Year: 2017 Month: 11 X-DOI: 10.1080/00207721.2017.1381282 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1381282 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3129-3137 Template-Type: ReDIF-Article 1.0 Author-Name: Xueman Fan Author-X-Name-First: Xueman Author-X-Name-Last: Fan Author-Name: Shengliang Hu Author-X-Name-First: Shengliang Author-X-Name-Last: Hu Author-Name: Jingbo He Author-X-Name-First: Jingbo Author-X-Name-Last: He Title: A target recognition method for maritime surveillance radars based on hybrid ensemble selection Abstract: In order to improve the generalisation ability of the maritime surveillance radar, a novel ensemble selection technique, termed Optimisation and Dynamic Selection (ODS), is proposed. During the optimisation phase, the non-dominated sorting genetic algorithm II for multi-objective optimisation is used to find the Pareto front, i.e. a set of ensembles of classifiers representing different tradeoffs between the classification error and diversity. During the dynamic selection phase, the meta-learning method is used to predict whether a candidate ensemble is competent enough to classify a query instance based on three different aspects, namely, feature space, decision space and the extent of consensus. The classification performance and time complexity of ODS are compared against nine other ensemble methods using a self-built full polarimetric high resolution range profile data-set. The experimental results clearly show the effectiveness of ODS. In addition, the influence of the selection of diversity measures is studied concurrently. Journal: International Journal of Systems Science Pages: 3334-3345 Issue: 15 Volume: 48 Year: 2017 Month: 11 X-DOI: 10.1080/00207721.2017.1381283 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1381283 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3334-3345 Template-Type: ReDIF-Article 1.0 Author-Name: Mohammad Ghasem Akbari Author-X-Name-First: Mohammad Ghasem Author-X-Name-Last: Akbari Author-Name: Gholamreza Hesamian Author-X-Name-First: Gholamreza Author-X-Name-Last: Hesamian Title: Record value based on intuitionistic fuzzy random variables Abstract: This paper extends some basic concepts associated to record value based on intuitionistic fuzzy random variables. In this approach, αβ-values of intuituinistic fuzzy numbers are employed to construct intuitionistic fuzzy cumulative distribution function and its common estimator, an extended entropy and its estimator, intuitionistic fuzzy (upper) record value and its common estimator. Main property of the proposed concepts include large sample properties which are investigated in the space of intuitionistic fuzzy numbers. Some numerical examples are also illustrated to clarify the concepts and methods. Journal: International Journal of Systems Science Pages: 3305-3315 Issue: 15 Volume: 48 Year: 2017 Month: 11 X-DOI: 10.1080/00207721.2017.1381284 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1381284 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3305-3315 Template-Type: ReDIF-Article 1.0 Author-Name: Cailu Wang Author-X-Name-First: Cailu Author-X-Name-Last: Wang Author-Name: Yuegang Tao Author-X-Name-First: Yuegang Author-X-Name-Last: Tao Title: Global robustness for max-plus linear systems Abstract: Robustness analysis is a fundamental problem in the area of formal method, systems theory and performance evaluation. This paper investigates the global robustness of max-plus linear systems, which requires all state variables are entirely unaffected by the bounded parameter perturbations. The variable element is introduced to describe the global robustness. The relationship between solvable entries and solutions of systems of max-plus linear equations is further studied to find the variable elements of max-plus linear systems. It is pointed out that any non-solvable entry is a variable element. At the same time, the global robustness is used to analyse the stability of gene regulatory networks in biology systems and the time invariance of production processes in flexible manufacturing systems. Some numerical examples are given to illustrate the results. Journal: International Journal of Systems Science Pages: 3225-3232 Issue: 15 Volume: 48 Year: 2017 Month: 11 X-DOI: 10.1080/00207721.2017.1381890 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1381890 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3225-3232 Template-Type: ReDIF-Article 1.0 Author-Name: Meiying Ou Author-X-Name-First: Meiying Author-X-Name-Last: Ou Author-Name: Haibin Sun Author-X-Name-First: Haibin Author-X-Name-Last: Sun Author-Name: Shengwei Gu Author-X-Name-First: Shengwei Author-X-Name-Last: Gu Author-Name: Yangyi Zhang Author-X-Name-First: Yangyi Author-X-Name-Last: Zhang Title: Distributed finite-time trajectory tracking control for multiple nonholonomic mobile robots with uncertainties and external disturbances Abstract: This paper investigates the distributed finite-time trajectory tracking control for a group of nonholonomic mobile robots with time-varying unknown parameters and external disturbances. At first, the tracking error system is derived for each mobile robot with the aid of a global invertible transformation, which consists of two subsystems, one is a first-order subsystem and another is a second-order subsystem. Then, the two subsystems are studied respectively, and finite-time disturbance observers are proposed for each robot to estimate the external disturbances. Meanwhile, distributed finite-time tracking controllers are developed for each mobile robot such that all states of each robot can reach the desired value in finite time, where the desired reference value is assumed to be the trajectory of a virtual leader whose information is available to only a subset of the followers, and the followers are assumed to have only local interaction. The effectiveness of the theoretical results is finally illustrated by numerical simulations. Journal: International Journal of Systems Science Pages: 3233-3245 Issue: 15 Volume: 48 Year: 2017 Month: 11 X-DOI: 10.1080/00207721.2017.1381891 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1381891 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3233-3245 Template-Type: ReDIF-Article 1.0 Author-Name: Karima Menani Author-X-Name-First: Karima Author-X-Name-Last: Menani Author-Name: Taghreed Mohammadridha Author-X-Name-First: Taghreed Author-X-Name-Last: Mohammadridha Author-Name: Nicolas Magdelaine Author-X-Name-First: Nicolas Author-X-Name-Last: Magdelaine Author-Name: Mourad Abdelaziz Author-X-Name-First: Mourad Author-X-Name-Last: Abdelaziz Author-Name: Claude H. Moog Author-X-Name-First: Claude H. Author-X-Name-Last: Moog Title: Positive sliding mode control for blood glucose regulation Abstract: Biological systems involving positive variables as concentrations are some examples of so-called positive systems. This is the case of the glycemia–insulinemia system considered in this paper. To cope with these physical constraints, it is shown that a positive sliding mode control (SMC) can be designed for glycemia regulation. The largest positive invariant set (PIS) is obtained for the insulinemia subsystem in open and closed loop. The existence of a positive SMC for glycemia regulation is shown here for the first time. Necessary conditions to design the sliding surface and the discontinuity gain are derived to guarantee a positive SMC for the insulin dynamics. SMC is designed to be positive everywhere in the largest closed-loop PIS of plasma insulin system. Two-stage SMC is employed; the last stage SMC2 block uses the glycemia error to design the desired insulin trajectory. Then the plasma insulin state is forced to track the reference via SMC1. The resulting desired insulin trajectory is the required virtual control input of the glycemia system to eliminate blood glucose (BG) error. The positive control is tested in silico on type-1 diabetic patients model derived from real-life clinical data. Journal: International Journal of Systems Science Pages: 3267-3278 Issue: 15 Volume: 48 Year: 2017 Month: 11 X-DOI: 10.1080/00207721.2017.1381893 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1381893 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3267-3278 Template-Type: ReDIF-Article 1.0 Author-Name: Brojeswar Pal Author-X-Name-First: Brojeswar Author-X-Name-Last: Pal Author-Name: Shib Sankar Sana Author-X-Name-First: Shib Sankar Author-X-Name-Last: Sana Author-Name: Kripasindhu Chaudhuri Author-X-Name-First: Kripasindhu Author-X-Name-Last: Chaudhuri Title: Two-echelon competitive integrated supply chain model with price and credit period dependent demand Abstract: This study considers a two-echelon competitive supply chain consisting of two rivaling retailers and one common supplier with trade credit policy. The retailers hope that they can enhance their market demand by offering a credit period to the customers and the supplier also offers a credit period to the retailers. We assume that the market demand of the products of one retailer depends not only on their own market price and offering a credit period to the customers, but also on the market price and offering a credit period of the other retailer. The supplier supplies the product with a common wholesale price and offers the same credit period to the retailers. We study the model under a centralised (integrated) case and a decentralised (Vertical Nash) case and compare them numerically. Finally, we investigate the model by the collected numerical data. Journal: International Journal of Systems Science Pages: 995-1007 Issue: 5 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.911383 File-URL: http://hdl.handle.net/10.1080/00207721.2014.911383 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:995-1007 Template-Type: ReDIF-Article 1.0 Author-Name: Chang Duan Author-X-Name-First: Chang Author-X-Name-Last: Duan Author-Name: Fen Wu Author-X-Name-First: Fen Author-X-Name-Last: Wu Title: New results on switched linear systems with actuator saturation Abstract: This paper further studies the analysis and control problems of continuous-time switched linear systems subject to actuator saturation. Using the norm-bounded differential inclusion description of the saturated systems and the minimal switching rule, a set of switched output feedback controllers is designed to minimise the disturbance attenuation level defined by the regional L2${\cal L}_2$ gain over a class of energy-bounded disturbances. The synthesis conditions are expressed as bilinear matrix inequalities, and can be solved by numerical search coupled with linear matrix inequality optimisation. Compared to the previous method based on polytopic differential inclusion, the proposed approach has good scalability and potentially renders better performance. Numerical examples are provided to verify the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 1008-1020 Issue: 5 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.911386 File-URL: http://hdl.handle.net/10.1080/00207721.2014.911386 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1008-1020 Template-Type: ReDIF-Article 1.0 Author-Name: Guan Jun Wang Author-X-Name-First: Guan Jun Author-X-Name-Last: Wang Author-Name: Yuan Lin Zhang Author-X-Name-First: Yuan Lin Author-X-Name-Last: Zhang Title: Optimal replacement policy for a two-dissimilar-component cold standby system with different repair actions Abstract: In this paper, a cold standby repairable system consisting of two dissimilar components and one repairman is studied. When failures occur, the repair of both component 1 and component 2 are not ‘as good as new’. The consecutive operating times of component 1 after repair constitute a decreasing geometric process, while the repair times of component 1 are independent and identically distributed. For component 2, its failure is rectified by minimal repair, and the repair time is negligible. Component 1 has priority in use when both components are good. The replacement policy N is based on the failure number of component 1. Under policy N, we derive the explicit expression of the long-run average cost rate C(N) as well as the average number of repairs of component 2 before the system replaced. The optimal replacement policy N*, which minimises the long-run average cost rate C(N), is obtained theoretically. If the failure rate r(t) of component 2 is increasing, the existence and uniqueness of the optimal policy N* is also proved. Finally, a numerical example is given to validate the developed theoretical model. Some sensitivity analyses are provided to show the influence of some parameters, such as the costs for replacement and repair, and the parameters of the lifetime and repair time distributions of both components, to the optimal replacement policy N* and corresponding average cost rate C(N*). Journal: International Journal of Systems Science Pages: 1021-1031 Issue: 5 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.911387 File-URL: http://hdl.handle.net/10.1080/00207721.2014.911387 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1021-1031 Template-Type: ReDIF-Article 1.0 Author-Name: L. Gerard Van Willigenburg Author-X-Name-First: L. Gerard Author-X-Name-Last: Van Willigenburg Author-Name: Willem L. De Koning Author-X-Name-First: Willem L. Author-X-Name-Last: De Koning Title: U-D factorisation of the strengthened discrete-time optimal projection equations Abstract: Algorithms for optimal reduced-order dynamic output feedback control of linear discrete-time systems with white stochastic parameters are U-D factored in this paper. U-D factorisation enhances computational accuracy, stability and possibly efficiency. Since U-D factorisation of algorithms for optimal full-order output feedback controller design was recently published by us, this paper focusses on the U-D factorisation of the optimal oblique projection matrix that becomes part of the solution as a result of order-reduction. The equations producing the solution are known as the optimal projection equations which for discrete-time systems have been strengthened in the past. The U-D factored strengthened discrete-time optimal projection equations are presented in this paper by means of a transformation that has to be applied recursively until convergence. The U-D factored and conventional algorithms are compared through a series of examples. Journal: International Journal of Systems Science Pages: 1032-1041 Issue: 5 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.911388 File-URL: http://hdl.handle.net/10.1080/00207721.2014.911388 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1032-1041 Template-Type: ReDIF-Article 1.0 Author-Name: Márcio J. Lacerda Author-X-Name-First: Márcio J. Author-X-Name-Last: Lacerda Author-Name: Eduardo S. Tognetti Author-X-Name-First: Eduardo S. Author-X-Name-Last: Tognetti Author-Name: Ricardo C.L.F. Oliveira Author-X-Name-First: Ricardo C.L.F. Author-X-Name-Last: Oliveira Author-Name: Pedro L.D. Peres Author-X-Name-First: Pedro L.D. Author-X-Name-Last: Peres Title: A new approach to handle additive and multiplicative uncertainties in the measurement for LPV filtering Abstract: This paper presents a general framework to cope with full-order H∞${\mathcal {H}}_{\infty }$ linear parameter-varying (LPV) filter design subject to inexactly measured parameters. The main novelty is the ability of handling additive and multiplicative uncertainties in the measurements, for both continuous and discrete-time LPV systems, in a unified approach. By conveniently modelling scheduling parameters and uncertainties affecting the measurements, the H∞${\mathcal {H}}_{\infty }$ filter design problem can be expressed in terms of robust matrix inequalities that become linear when two scalar parameters are fixed. Therefore, the proposed conditions can be efficiently solved through linear matrix inequality relaxations based on polynomial solutions. Numerical examples are presented to illustrate the improved efficiency of the proposed approach when compared to other methods and, more important, its capability to deal with scenarios where the available strategies in the literature cannot be used. Journal: International Journal of Systems Science Pages: 1042-1053 Issue: 5 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.911389 File-URL: http://hdl.handle.net/10.1080/00207721.2014.911389 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1042-1053 Template-Type: ReDIF-Article 1.0 Author-Name: Juan Garrido Author-X-Name-First: Juan Author-X-Name-Last: Garrido Author-Name: Francisco Vázquez Author-X-Name-First: Francisco Author-X-Name-Last: Vázquez Author-Name: Fernando Morilla Author-X-Name-First: Fernando Author-X-Name-Last: Morilla Title: Multivariable PID control by decoupling Abstract: This paper presents a new methodology to design multivariable proportional-integral-derivative (PID) controllers based on decoupling control. The method is presented for general n × n processes. In the design procedure, an ideal decoupling control with integral action is designed to minimise interactions. It depends on the desired open-loop processes that are specified according to realisability conditions and desired closed-loop performance specifications. These realisability conditions are stated and three common cases to define the open-loop processes are studied and proposed. Then, controller elements are approximated to PID structure. From a practical point of view, the wind-up problem is also considered and a new anti-wind-up scheme for multivariable PID controller is proposed. Comparisons with other works demonstrate the effectiveness of the methodology through the use of several simulation examples and an experimental lab process. Journal: International Journal of Systems Science Pages: 1054-1072 Issue: 5 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.911390 File-URL: http://hdl.handle.net/10.1080/00207721.2014.911390 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1054-1072 Template-Type: ReDIF-Article 1.0 Author-Name: Ping Wang Author-X-Name-First: Ping Author-X-Name-Last: Wang Author-Name: Yingmin Jia Author-X-Name-First: Yingmin Author-X-Name-Last: Jia Title: Robust containment control for uncertain multi-agent systems with inherent nonlinear dynamics Abstract: This article considers the distributed containment control problem of nonlinear multi-agent systems subject to parameter uncertainties and external disturbances. An appropriate controlled output function is defined to quantitatively analyse the effect of external disturbances on the containment control problem. By employing robust H∞ control approach, sufficient conditions in terms of linear matrix inequalities (LMIs) are derived to ensure that all followers asymptotically converge to the convex hull spanned by the leaders with the prescribed H∞ performance under fixed topology. Moreover, the unknown feedback matrix of the proposed protocol is determined by solving only two LMIs with the same dimensions as a single agent. Finally, a numerical example is provided to demonstrate the effectiveness of our theoretical results. Journal: International Journal of Systems Science Pages: 1073-1083 Issue: 5 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.911391 File-URL: http://hdl.handle.net/10.1080/00207721.2014.911391 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1073-1083 Template-Type: ReDIF-Article 1.0 Author-Name: Ruikun Zhang Author-X-Name-First: Ruikun Author-X-Name-Last: Zhang Author-Name: Zhongsheng Hou Author-X-Name-First: Zhongsheng Author-X-Name-Last: Hou Author-Name: Honghai Ji Author-X-Name-First: Honghai Author-X-Name-Last: Ji Author-Name: Chenkun Yin Author-X-Name-First: Chenkun Author-X-Name-Last: Yin Title: Adaptive iterative learning control for a class of non-linearly parameterised systems with input saturations Abstract: In this paper, an adaptive iterative learning control scheme is proposed for a class of non-linearly parameterised systems with unknown time-varying parameters and input saturations. By incorporating a saturation function, a new iterative learning control mechanism is presented which includes a feedback term and a parameter updating term. Through the use of parameter separation technique, the non-linear parameters are separated from the non-linear function and then a saturated difference updating law is designed in iteration domain by combining the unknown parametric term of the local Lipschitz continuous function and the unknown time-varying gain into an unknown time-varying function. The analysis of convergence is based on a time-weighted Lyapunov–Krasovskii-like composite energy function which consists of time-weighted input, state and parameter estimation information. The proposed learning control mechanism warrants a L2[0, T] convergence of the tracking error sequence along the iteration axis. Simulation results are provided to illustrate the effectiveness of the adaptive iterative learning control scheme. Journal: International Journal of Systems Science Pages: 1084-1094 Issue: 5 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.911422 File-URL: http://hdl.handle.net/10.1080/00207721.2014.911422 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1084-1094 Template-Type: ReDIF-Article 1.0 Author-Name: Huaitao Shi Author-X-Name-First: Huaitao Author-X-Name-Last: Shi Author-Name: Jianchang Liu Author-X-Name-First: Jianchang Author-X-Name-Last: Liu Author-Name: Yuhou Wu Author-X-Name-First: Yuhou Author-X-Name-Last: Wu Author-Name: Ke Zhang Author-X-Name-First: Ke Author-X-Name-Last: Zhang Author-Name: Lixiu Zhang Author-X-Name-First: Lixiu Author-X-Name-Last: Zhang Author-Name: Peng Xue Author-X-Name-First: Peng Author-X-Name-Last: Xue Title: Fault diagnosis of nonlinear and large-scale processes using novel modified kernel Fisher discriminant analysis approach Abstract: It is pretty significant for fault diagnosis timely and accurately to improve the dependability of industrial processes. In this study, fault diagnosis of nonlinear and large-scale processes by variable-weighted kernel Fisher discriminant analysis (KFDA) based on improved biogeography-based optimisation (IBBO) is proposed, referred to as IBBO-KFDA, where IBBO is used to determine the parameters of variable-weighted KFDA, and variable-weighted KFDA is used to solve the multi-classification overlapping problem. The main contributions of this work are four-fold to further improve the performance of KFDA for fault diagnosis. First, a nonlinear fault diagnosis approach with variable-weighted KFDA is developed for maximising separation between the overlapping fault samples. Second, kernel parameters and features selection of variable-weighted KFDA are simultaneously optimised using IBBO. Finally, a single fitness function that combines erroneous diagnosis rate with feature cost is created, a novel mixed kernel function is introduced to improve the classification capability in the feature space and diagnosis accuracy of the IBBO-KFDA, and serves as the target function in the optimisation problem. Moreover, an IBBO approach is developed to obtain the better quality of solution and faster convergence speed. On the one hand, the proposed IBBO-KFDA method is first used on Tennessee Eastman process benchmark data sets to validate the feasibility and efficiency. On the other hand, IBBO-KFDA is applied to diagnose faults of automation gauge control system. Simulation results demonstrate that IBBO-KFDA can obtain better kernel parameters and feature vectors with a lower computing cost, higher diagnosis accuracy and a better real-time capacity. Journal: International Journal of Systems Science Pages: 1095-1109 Issue: 5 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.912780 File-URL: http://hdl.handle.net/10.1080/00207721.2014.912780 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1095-1109 Template-Type: ReDIF-Article 1.0 Author-Name: Juan Zhou Author-X-Name-First: Juan Author-X-Name-Last: Zhou Author-Name: Qingling Zhang Author-X-Name-First: Qingling Author-X-Name-Last: Zhang Author-Name: Jinghao Li Author-X-Name-First: Jinghao Author-X-Name-Last: Li Author-Name: Bo Men Author-X-Name-First: Bo Author-X-Name-Last: Men Author-Name: Junchao Ren Author-X-Name-First: Junchao Author-X-Name-Last: Ren Title: Dissipative control for a class of nonlinear descriptor systems Abstract: This paper is concerned with the dissipative control problem for a class of nonlinear descriptor systems. Based on Lyapunov stability theory, sufficient conditions are derived, which guarantee that the underlying systems are strictly dissipative. Then, the design method for a state feedback controller is provided. All the conditions can be expressed via linear matrix inequalities. Finally, a numerical example is presented to demonstrate the validity of the proposed methods. Journal: International Journal of Systems Science Pages: 1110-1120 Issue: 5 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.913082 File-URL: http://hdl.handle.net/10.1080/00207721.2014.913082 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1110-1120 Template-Type: ReDIF-Article 1.0 Author-Name: Ridong Zhang Author-X-Name-First: Ridong Author-X-Name-Last: Zhang Author-Name: Renquan Lu Author-X-Name-First: Renquan Author-X-Name-Last: Lu Author-Name: Shuqing Wang Author-X-Name-First: Shuqing Author-X-Name-Last: Wang Title: Improved control using PFC and modified linear quadratic regulator for a kind of nonlinear systems Abstract: This paper describes the combination design of predictive functional control (PFC) and optimal linear quadratic (LQ) method for a kind of nonlinear process with output feedback coupling. In many existing control methods for this kind of nonlinear systems, the nonlinear part is either ignored or represented as a rough linear one when corresponding predictive control methods are designed. However, by assuming that the nonlinearity can be ignored or simplified to a linear time-varying part may not lead to the good control performance of subsequent linear control designs. The paper is a further investigation on this kind of systems, in which a procedure of PFC plus a modified optimal LQ control is developed. With respect to the proposed control strategy and the corresponding processes, the closed-loop performance is improved concerning tracking ability and disturbance rejection compared with previous predictive control methods. In addition, the proposed control is easy to implement as it selects a simple structure and a modification of the classical control scheme. Journal: International Journal of Systems Science Pages: 1121-1129 Issue: 5 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.915352 File-URL: http://hdl.handle.net/10.1080/00207721.2014.915352 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1121-1129 Template-Type: ReDIF-Article 1.0 Author-Name: Yen-Luan Chen Author-X-Name-First: Yen-Luan Author-X-Name-Last: Chen Author-Name: Chin-Chih Chang Author-X-Name-First: Chin-Chih Author-X-Name-Last: Chang Author-Name: Dwan-Fang Sheu Author-X-Name-First: Dwan-Fang Author-X-Name-Last: Sheu Title: Optimum random and age replacement policies for customer-demand multi-state system reliability under imperfect maintenance Abstract: This paper proposes the generalised random and age replacement policies for a multi-state system composed of multi-state elements. The degradation of the multi-state element is assumed to follow the non-homogeneous continuous time Markov process which is a continuous time and discrete state process. A recursive approach is presented to efficiently compute the time-dependent state probability distribution of the multi-state element. The state and performance distribution of the entire multi-state system is evaluated via the combination of the stochastic process and the Lz-transform method. The concept of customer-centred reliability measure is developed based on the system performance and the customer demand. We develop the random and age replacement policies for an aging multi-state system subject to imperfect maintenance in a failure (or unacceptable) state. For each policy, the optimum replacement schedule which minimises the mean cost rate is derived analytically and discussed numerically. Journal: International Journal of Systems Science Pages: 1130-1141 Issue: 5 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.915353 File-URL: http://hdl.handle.net/10.1080/00207721.2014.915353 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1130-1141 Template-Type: ReDIF-Article 1.0 Author-Name: Shine-Der Lee Author-X-Name-First: Shine-Der Author-X-Name-Last: Lee Author-Name: Chin-Ming Yang Author-X-Name-First: Chin-Ming Author-X-Name-Last: Yang Author-Name: Shu-Chuan Lan Author-X-Name-First: Shu-Chuan Author-X-Name-Last: Lan Title: Economic lot sizing in a production system with random demand Abstract: An extended economic production quantity model that copes with random demand is developed in this paper. A unique feature of the proposed study is the consideration of transient shortage during the production stage, which has not been explicitly analysed in existing literature. The considered costs include set-up cost for the batch production, inventory carrying cost during the production and depletion stages in one replenishment cycle, and shortage cost when demand cannot be satisfied from the shop floor immediately. Based on renewal reward process, a per-unit-time expected cost model is developed and analysed. Under some mild condition, it can be shown that the approximate cost function is convex. Computational experiments have demonstrated that the average reduction in total cost is significant when the proposed lot sizing policy is compared with those with deterministic demand. Journal: International Journal of Systems Science Pages: 1142-1154 Issue: 5 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.915354 File-URL: http://hdl.handle.net/10.1080/00207721.2014.915354 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1142-1154 Template-Type: ReDIF-Article 1.0 Author-Name: Seyed Ahmad Yazdian Author-X-Name-First: Seyed Ahmad Author-X-Name-Last: Yazdian Author-Name: Kamran Shahanaghi Author-X-Name-First: Kamran Author-X-Name-Last: Shahanaghi Author-Name: Ahmad Makui Author-X-Name-First: Ahmad Author-X-Name-Last: Makui Title: Joint optimisation of price, warranty and recovery planning in remanufacturing of used products under linear and non-linear demand, return and cost functions Abstract: We investigate joint optimisation of remanufacturing, pricing and warranty decision-making for end-of-life products. A novel mathematical–statistical model is proposed where decisions involve pricing of returned used products (cores), degree of their remanufacturing, selling price and the warranty period for the final remanufactured products. The virtual age reliability improvement approach is chosen to model the upgrading of the cores to higher quality levels. We consider price- and warranty-dependent demand, price- and age-dependent return, and age-dependent remanufacturing cost in the model development. Both linear and non-linear forms of these functions are investigated. First, under some restrictive conditions of upgrade level and age distribution of received cores, special cases of the problem, which can be solved using a recently developed non-linear optimisation solver, are presented. We also implement a particle swarm optimisation algorithm for the solution of the original problem when all the restrictive assumptions are dropped. Finally, numerical experiments and sensitivity analysis are presented to address different aspects of the model and the solution approaches. Journal: International Journal of Systems Science Pages: 1155-1175 Issue: 5 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.915355 File-URL: http://hdl.handle.net/10.1080/00207721.2014.915355 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1155-1175 Template-Type: ReDIF-Article 1.0 Author-Name: J.L. Pitarch Author-X-Name-First: J.L. Author-X-Name-Last: Pitarch Author-Name: A. Sala Author-X-Name-First: A. Author-X-Name-Last: Sala Author-Name: J. Lauber Author-X-Name-First: J. Author-X-Name-Last: Lauber Author-Name: T.M. Guerra Author-X-Name-First: T.M. Author-X-Name-Last: Guerra Title: Control synthesis for polynomial discrete-time systems under input constraints via delayed-state Lyapunov functions Abstract: This paper presents a discrete-time control design methodology for input-saturating systems using a Lyapunov function with dependence on present and past states. The approach is used to bypass the usual difficulty with full polynomial Lyapunov functions of expressing the problem in a convex way. Also polynomial controllers are allowed to depend on both present and past states. Furthermore, by considering saturation limits on the control action, the information about the relationship between the present and past states is introduced via Positivstellensatz multipliers. Sum-of-squares techniques and available semi-definite programming (SDP) software are used in order to find the controller. Journal: International Journal of Systems Science Pages: 1176-1184 Issue: 5 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.915357 File-URL: http://hdl.handle.net/10.1080/00207721.2014.915357 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1176-1184 Template-Type: ReDIF-Article 1.0 Author-Name: Bohui Wang Author-X-Name-First: Bohui Author-X-Name-Last: Wang Author-Name: Jingcheng Wang Author-X-Name-First: Jingcheng Author-X-Name-Last: Wang Author-Name: Langwen Zhang Author-X-Name-First: Langwen Author-X-Name-Last: Zhang Author-Name: Yang Ge Author-X-Name-First: Yang Author-X-Name-Last: Ge Title: Joining consensus of networked multi-agent systems with nonlinear couplings and weighting constraints Abstract: This paper studies the joining consensus of networked multi-agent systems subject to nonlinear couplings and weighted directed graphs via pinning control. A weighted-average consensus protocol is proposed to achieve the collective decision by interacting with the local information of some pinned agents. By proposing a novel joining consensus protocol, average consensus and general consensus strategies are joined to achieve an agreement for the weighting networked system. Furthermore, by calculating a proper consensus gain and using finite control Lyapunov controllers, an efficient joining consensus protocol is presented to improve the consensus speed. Sufficient conditions for achieving the consensuses asymptotically are proved. Finally, theoretical results are validated via simulations. Journal: International Journal of Systems Science Pages: 1185-1201 Issue: 5 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.915358 File-URL: http://hdl.handle.net/10.1080/00207721.2014.915358 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1185-1201 Template-Type: ReDIF-Article 1.0 Author-Name: Mohsen Khodakarami Author-X-Name-First: Mohsen Author-X-Name-Last: Khodakarami Author-Name: Amir Shabani Author-X-Name-First: Amir Author-X-Name-Last: Shabani Author-Name: Reza Farzipoor Saen Author-X-Name-First: Reza Farzipoor Author-X-Name-Last: Saen Title: Concurrent estimation of efficiency, effectiveness and returns to scale Abstract: In recent years, data envelopment analysis (DEA) has been widely used to assess both efficiency and effectiveness. Accurate measurement of overall performance is a product of concurrent consideration of these measures. There are a couple of well-known methods to assess both efficiency and effectiveness. However, some issues can be found in previous methods. The issues include non-linearity problem, paradoxical improvement solutions, efficiency and effectiveness evaluation in two independent environments: dividing an operating unit into two autonomous departments for performance evaluation and problems associated with determining economies of scale. To overcome these issues, this paper aims to develop a series of linear DEA methods to estimate efficiency, effectiveness, and returns to scale of decision-making units (DMUs), simultaneously. This paper considers the departments of a DMU as a united entity to recommend consistent improvements. We first present a model under constant returns to scale (CRS) assumption, and examine its relationship with one of existing network DEA model. We then extend model under variable returns to scale (VRS) condition, and again its relationship with one of existing network DEA models is discussed. Next, we introduce a new integrated two-stage additive model. Finally, an in-depth analysis of returns to scale is provided. A case study demonstrates applicability of the proposed models. Journal: International Journal of Systems Science Pages: 1202-1220 Issue: 5 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.919073 File-URL: http://hdl.handle.net/10.1080/00207721.2014.919073 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1202-1220 Template-Type: ReDIF-Article 1.0 Author-Name: Jing-Wen Yi Author-X-Name-First: Jing-Wen Author-X-Name-Last: Yi Author-Name: Yan-Wu Wang Author-X-Name-First: Yan-Wu Author-X-Name-Last: Wang Author-Name: Jiang-Wen Xiao Author-X-Name-First: Jiang-Wen Author-X-Name-Last: Xiao Author-Name: Yuehua Huang Author-X-Name-First: Yuehua Author-X-Name-Last: Huang Title: Synchronisation of complex dynamical networks with additive stochastic time-varying delays Abstract: In this letter, a class of complex dynamical networks with additive stochastic time-varying delays is investigated. Two kinds of delays in complex dynamical networks are taken into consideration, one is called the nodes-induced delay in this paper, and the other is the network-induced delay. Both of the delays are assumed to obey different stochastic distributions. By utilising a novel Lyapunov–Krasovskii functional and stochastic analysis techniques, a sufficient criterion is obtained in the form of linear matrix inequalities to ensure the synchronisation of the complex dynamical networks. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1221-1229 Issue: 5 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.919426 File-URL: http://hdl.handle.net/10.1080/00207721.2014.919426 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1221-1229 Template-Type: ReDIF-Article 1.0 Author-Name: Mu-Song Chen Author-X-Name-First: Mu-Song Author-X-Name-Last: Chen Author-Name: Hao-Wei Yen Author-X-Name-First: Hao-Wei Author-X-Name-Last: Yen Title: A two-stage approach in solving the state probabilities of the multi-queue //1 model Abstract: The M/G/1 model is the fundamental basis of the queueing system in many network systems. Usually, the study of the M/G/1 is limited by the assumption of single queue and infinite capacity. In practice, however, these postulations may not be valid, particularly when dealing with many real-world problems. In this paper, a two-stage state-space approach is devoted to solving the state probabilities for the multi-queue finite-capacity M/G/1 model, i.e. q-M/G/1/Ki with Ki buffers in the ith queue. The state probabilities at departure instants are determined by solving a set of state transition equations. Afterward, an embedded Markov chain analysis is applied to derive the state probabilities with another set of state balance equations at arbitrary time instants. The closed forms of the state probabilities are also presented with theorems for reference. Applications of Little's theorem further present the corresponding results for queue lengths and average waiting times. Simulation experiments have demonstrated the correctness of the proposed approaches. Journal: International Journal of Systems Science Pages: 1230-1244 Issue: 5 Volume: 47 Year: 2016 Month: 4 X-DOI: 10.1080/00207721.2014.919427 File-URL: http://hdl.handle.net/10.1080/00207721.2014.919427 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1230-1244 Template-Type: ReDIF-Article 1.0 Author-Name: Onur Cihan Author-X-Name-First: Onur Author-X-Name-Last: Cihan Author-Name: Mehmet Akar Author-X-Name-First: Mehmet Author-X-Name-Last: Akar Title: Fastest random walk on a path Abstract: In this paper, we consider two convex optimisation problems in order to maximise the mixing rate of a Markov chain on an undirected path. In the first formulation, the holding probabilities of vertices are identical and the transition probabilities from a vertex to its neighbours are equal, whereas the second formulation is the more general reversible Markov chain with the same degree proportional stationary distribution. We derive analytical results on the solutions of the optimisation problems and compare the spectra of the associated transition probability matrices. Journal: International Journal of Systems Science Pages: 1-7 Issue: 1 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1543470 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1543470 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:1:p:1-7 Template-Type: ReDIF-Article 1.0 Author-Name: Sophie Frasnedo Author-X-Name-First: Sophie Author-X-Name-Last: Frasnedo Author-Name: Guillaume Sandou Author-X-Name-First: Guillaume Author-X-Name-Last: Sandou Author-Name: Gilles Duc Author-X-Name-First: Gilles Author-X-Name-Last: Duc Author-Name: Cédric Chapuis Author-X-Name-First: Cédric Author-X-Name-Last: Chapuis Author-Name: Philippe Feyel Author-X-Name-First: Philippe Author-X-Name-Last: Feyel Title: Line of sight controller tuning using Bayesian optimisation: application to a double stage stabilisation platform Abstract: The inertial stabilisation of the line of sight of an imager fixed on a mobile carrier is considered in order to acquire good quality images despite the disturbances generated by the carrier. A double stage mechanical stabilisation architecture is proposed, where a second stabilisation stage, based on a piezoelectric actuator, is added to the usual structure. The piezoelectric actuator transfer function and hysteresis are characterised through experiments. In order to design the controllers of both stages, a high-level image quality criterion (the modulation transfer function (MTF)) is considered, together with design constraints on the main variables of interest. The criterion and the constraints are evaluated by realistic simulations based on some input and noise profiles measured on a real-life system. The MTF evaluation being time-consuming, a Bayesian optimisation method specially dedicated to expensive-to-evaluate functions is used to obtain the parameters of the controllers. The obtain experimental results are displayed and their performances discussed. Journal: International Journal of Systems Science Pages: 8-22 Issue: 1 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1543471 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1543471 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:1:p:8-22 Template-Type: ReDIF-Article 1.0 Author-Name: Le Van Hien Author-X-Name-First: Le Van Author-X-Name-Last: Hien Author-Name: Nguyen Trung Dzung Author-X-Name-First: Nguyen Trung Author-X-Name-Last: Dzung Title: Asynchronous control of discrete-time stochastic bilinear systems with Markovian switchings Abstract: This paper is concerned with the problem of asynchronous control for a class of discrete-time Markov systems with multiplicative stochastic white noises. Based on a stability analysis scheme developed from mode-dependent Lyapunov function method, we first derive testable conditions in linear matrix inequality (LMI) setting to ensure the robust stability of the closed-loop system. We then recast the proposed stability conditions into equivalent forms that are later utilised to design a multi-mode asynchronous state-feedback controller (ASFC) that makes the closed-loop system stable. An extension to the case of deficient mode information (i.e. transition rates of the system and the controller are not fully accessible) is also presented. Finally, a model of networked control with DC devices is given to demonstrate the efficacy of the proposed design scheme. Journal: International Journal of Systems Science Pages: 23-34 Issue: 1 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1543473 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1543473 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:1:p:23-34 Template-Type: ReDIF-Article 1.0 Author-Name: Hicham El Aiss Author-X-Name-First: Hicham Author-X-Name-Last: El Aiss Author-Name: Taha Zoulagh Author-X-Name-First: Taha Author-X-Name-Last: Zoulagh Author-Name: Abdelaziz Hmamed Author-X-Name-First: Abdelaziz Author-X-Name-Last: Hmamed Author-Name: Ahmed El Hajjaji Author-X-Name-First: Ahmed Author-X-Name-Last: El Hajjaji Title: An input–output approach to reduced filter design for polytopic time-varying delay systems Abstract: This paper discusses the problem of delay-dependent robust $ H_{\infty } $ H∞ filtering design for polytopic systems with a time-varying delay. A new model transformation is firstly applied by employing a three-term approximation for the delayed state, which leads to a smaller approximation error than the two-term approximation. Then, based on the scaled small-gain Theorem combined with an appropriate Lyapunov–Krasovskii Functional, the $ H_{\infty } $ H∞ performance analysis of the filtering error system is examined and then the $ H_{\infty } $ H∞ full- and reduced-order filters are designed in terms of linear matrix inequalities via a simple linearisation technique. Before the end, a sufficient condition is presented to solve the problem of $ H_{\infty } $ H∞ filtering design for a time-delay system without polytopic uncertainties. Finally, illustrative examples are presented to demonstrate the validity of the proposed methods. Journal: International Journal of Systems Science Pages: 35-49 Issue: 1 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1543474 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1543474 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:1:p:35-49 Template-Type: ReDIF-Article 1.0 Author-Name: Wenlin Jiang Author-X-Name-First: Wenlin Author-X-Name-Last: Jiang Author-Name: Liangliang Li Author-X-Name-First: Liangliang Author-X-Name-Last: Li Author-Name: Zhengwen Tu Author-X-Name-First: Zhengwen Author-X-Name-Last: Tu Author-Name: Yuming Feng Author-X-Name-First: Yuming Author-X-Name-Last: Feng Title: Exponential Lagrange stability for impulses in discrete-time delayed recurrent neural networks Abstract: This paper focuses on the problem of exponential stability in the sense of Lagrange for impulses in discrete-time delayed recurrent neural networks. By establishing a delayed impulsive discrete inequality and a novel difference inequality, combining with inequality techniques, some novel sufficient conditions are obtained to ensure exponential Lagrange stability for impulses in discrete-time delayed recurrent neural networks. Meanwhile, exponentially convergent scope of neural network is given. Finally, several numerical simulations are given to demonstrate the effectiveness of our results. Journal: International Journal of Systems Science Pages: 50-59 Issue: 1 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1543475 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1543475 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:1:p:50-59 Template-Type: ReDIF-Article 1.0 Author-Name: Dongdong Zhao Author-X-Name-First: Dongdong Author-X-Name-Last: Zhao Author-Name: Shi Yan Author-X-Name-First: Shi Author-X-Name-Last: Yan Author-Name: Shinya Matsushita Author-X-Name-First: Shinya Author-X-Name-Last: Matsushita Author-Name: Li Xu Author-X-Name-First: Li Author-X-Name-Last: Xu Title: Common eigenvector approach to exact order reduction for multidimensional Fornasini–Marchesini state-space models Abstract: This paper proposes an exact order reduction approach for the multidimensional (n-D) Fornasini–Marchesini (F–M) model by making use of the common eigenvector. Specifically, by introducing the concept of common eigenvectors, sufficient conditions of exact order reductions are developed for an n-D F–M model, which are able to simultaneously deal with n eigenvalues of the system matrices $ A_1,\ldots , A_n $ A1,…,An of the n-D F–M model. The obtained results reveal, for the first time, the internal connection between the multiple eigenvalues of the system matrices and the reducibility of the considered n-D F–M model. Then, a corresponding algorithm is proposed to exactly reduce the order of an n-D F–M model as much as possible. Examples are given to illustrate the details as well as the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 60-74 Issue: 1 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1543476 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1543476 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:1:p:60-74 Template-Type: ReDIF-Article 1.0 Author-Name: Fang Wang Author-X-Name-First: Fang Author-X-Name-Last: Wang Author-Name: Changchun Hua Author-X-Name-First: Changchun Author-X-Name-Last: Hua Author-Name: Qun Zong Author-X-Name-First: Qun Author-X-Name-Last: Zong Title: Novel smooth sliding mode attitude control design for constrained re-entry vehicle based on disturbance observer Abstract: This paper investigates the attitude tracking control system design for reusable launch vehicle (RLV) in re-entry phase with input constraint, model uncertainty and external disturbance. The novel control scheme is designed via combining the advantages of the robust property of sliding mode control (SMC), the compensation ability of disturbance observer (DOB) and the systematic design procedure of backstepping technique. By applying DOB technique to estimate the lumped uncertainty, there is no need to choose the switch gain larger than the bound of uncertainty. Through designing the exponential form sliding surface and smooth sliding mode controller, the chattering and discontinuous problem inherent in the traditional SMC is alleviated. An additional system is constructed to handle input constraint. Based on Lyapunov theory, the asymptotic stability of the closed-loop system is proven. At last, compared simulations are presented to verify the effectiveness of the proposed control approach. Journal: International Journal of Systems Science Pages: 75-90 Issue: 1 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1543477 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1543477 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:1:p:75-90 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaoli Luan Author-X-Name-First: Xiaoli Author-X-Name-Last: Luan Author-Name: Haiying Wan Author-X-Name-First: Haiying Author-X-Name-Last: Wan Author-Name: Fei Liu Author-X-Name-First: Fei Author-X-Name-Last: Liu Title: Derandomisation-based multiple frequency control for stochastic Markov jump systems Abstract: Under the framework of derandomisation approach, the state feedback control issues for both continuous-time and discrete-time Markov jump linear systems (MJLSs) are investigated to meet multiple performance objectives over multiple frequency ranges. Because of the stochastic jumping among different modes, the generalised Kalman–Yakubovic–Popov lemma-based finite-frequency controller design approach cannot be directly applied to MJLSs. To overcome this limitation, a derandomisation approach is established by transforming the original stochastic multiple modes systems to deterministic ones. Then the multiple frequency controllers for both discrete-time and continuous-time MJLSs are designed to guarantee the multiple performances of the closed-loop systems. To verify the effectiveness of the developed algorithms, examples are presented, where the performance requirements include specifications in low-frequency and high-frequency ranges, respectively. Journal: International Journal of Systems Science Pages: 91-103 Issue: 1 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1543478 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1543478 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:1:p:91-103 Template-Type: ReDIF-Article 1.0 Author-Name: Toshio Yoshimura Author-X-Name-First: Toshio Author-X-Name-Last: Yoshimura Title: Adaptive fuzzy dynamic surface control for uncertain nonlinear systems in pure-feedback form with input and state constraints using noisy measurements Abstract: This paper is concerned with the design of an adaptive fuzzy dynamic surface control for uncertain nonlinear pure-feedback systems with input and state constraints using a set of noisy measurements. The design approach is described as follows. The nonlinear uncertainties are approximated by using the fuzzy logic systems at the first stage, secondly the adaptive fuzzy dynamic surface control is introduced to remove the problem of the explosion of complexity for the derivation of the adaptive fuzzy backstepping control, thirdly a new saturation function for state constraints is proposed to design the controllers based on the Lyapunov function, fourthly the number of the adjustable parameters is reduced by using the simplified extended single input rule modules, and finally the weighted least squares estimator to take the estimates for the un-measurable states and the adjustable parameters is in a simplified structure designed. The proposed approach provides effective system performance in the simulation experiment. Journal: International Journal of Systems Science Pages: 104-115 Issue: 1 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1543479 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1543479 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:1:p:104-115 Template-Type: ReDIF-Article 1.0 Author-Name: Guoqi Ma Author-X-Name-First: Guoqi Author-X-Name-Last: Ma Author-Name: Xinghua Liu Author-X-Name-First: Xinghua Author-X-Name-Last: Liu Author-Name: Prabhakar R. Pagilla Author-X-Name-First: Prabhakar R. Author-X-Name-Last: Pagilla Title: Robust repetitive control of semi-Markovian jump systems Abstract: This paper considers the periodic reference tracking problem for continuous-time semi-Markovian jump systems. An observer-based robust $ H_{\infty } $ H∞ modified repetitive controller with logarithmically quantised output measurements is proposed. By using a lifting technique, the semi-Markovian jump system and the modified repetitive controller structure are transformed into a stochastic two-dimensional (2D) model to differentiate the control and learning actions involved in the repetitive controller structure. For the transformed 2D model, first, sufficient conditions are derived for the closed-loop control system to be mean square asymptotically stable by utilising tools from stochastic systems theory and multiple Lyapunov functional technique. Subsequently, a robust modified repetitive controller is synthesised to ensure a prescribed $ H_{\infty } $ H∞ attenuation performance in the presence of a bounded exogenous disturbance input. A numerical example on a switched boost converter circuit is considered and simulation results are provided to evaluate the proposed control strategy. Journal: International Journal of Systems Science Pages: 116-129 Issue: 1 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1543480 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1543480 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:1:p:116-129 Template-Type: ReDIF-Article 1.0 Author-Name: Yang Liu Author-X-Name-First: Yang Author-X-Name-Last: Liu Author-Name: Yingmin Jia Author-X-Name-First: Yingmin Author-X-Name-Last: Jia Title: Event-triggered consensus control for uncertain multi-agent systems with external disturbance Abstract: This paper investigates the event-triggered consensus control for a general linear multi-agent system with model uncertainties and external disturbances. A consensus protocol is proposed using the local state information at asynchronous event-triggering time instants, where each agent determines when to perform sampling and control updating using the designed event-triggered condition. Then the robust consensus condition and the feedback matrix design method are derived to make the uncertain multi-agent system reach consensus with a desired disturbance attenuation ability. Furthermore, it is demonstrated that the Zeno behaviour will never occur by giving the lower bound of inter-event time intervals. Finally, a simulation example is given to verify the obtained theoretical results, with the comparison simulation conducted by using the periodic triggering strategy. Journal: International Journal of Systems Science Pages: 130-140 Issue: 1 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1543733 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1543733 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:1:p:130-140 Template-Type: ReDIF-Article 1.0 Author-Name: Ling Xu Author-X-Name-First: Ling Author-X-Name-Last: Xu Author-Name: Feng Ding Author-X-Name-First: Feng Author-X-Name-Last: Ding Author-Name: Quanmin Zhu Author-X-Name-First: Quanmin Author-X-Name-Last: Zhu Title: Hierarchical Newton and least squares iterative estimation algorithm for dynamic systems by transfer functions based on the impulse responses Abstract: This paper develops a parameter estimation algorithm for linear continuous-time systems based on the hierarchical principle and the parameter decomposition strategy. Although the linear continuous-time system is a linear system, its output response is a highly nonlinear function with respect to the system parameters. In order to propose a direct estimation algorithm, a criterion function is constructed between the response output and the observation output by means of the discrete sampled data. Then a scheme by combining the Newton iteration and the least squares iteration is builded to minimise the criterion function and derive the parameter estimation algorithm. In light of the different features between the system parameters and the output function, two sub-algorithms are derived by using the parameter decomposition. In order to remove the associate terms between the two sub-algorithms, a Newton and least squares iterative algorithm is deduced to identify system parameters. Compared with the Newton iterative estimation algorithm without the parameter decomposition, the complexity of the hierarchical Newton and least squares iterative estimation algorithm is reduced because the dimension of the Hessian matrix is lessened after the parameter decomposition. The experimental results show that the proposed algorithm has good performance. Journal: International Journal of Systems Science Pages: 141-151 Issue: 1 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1544303 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1544303 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:1:p:141-151 Template-Type: ReDIF-Article 1.0 Author-Name: Jun Ye Author-X-Name-First: Jun Author-X-Name-Last: Ye Title: Multiple attribute group decision-making method with single-valued neutrosophic interval number information Abstract: To describe decision makers’ judgments for an evaluated object more comprehensively in the decision-making process, this paper firstly defines the concept of a single-valued neutrosophic interval number (SVNIN), which is composed of both its interval number (interval judgment) and its single-valued neutrosophic number (SVNN) (confident degree). Then we present the basic operational laws of SVNINs and the score function of SVNIN based on the attitude index and confident level of decision makers to compare SVNINs. Next, we propose a single-valued neutrosophic interval number weighted arithmetic averaging (SVNINWAA) operator and a single-valued neutrosophic interval number weighted geometric averaging (SVNINWGA) operator to aggregate SVNIN information. Further, a multiple attribute group decision-making (MDGDM) method using the proposed SVNINWAA or SVNINWGA operator is established under an SVNIN environment. Finally, an illustrative example regarding the selection problem of global suppliers is presented to show the application and effectiveness of the developed method. Journal: International Journal of Systems Science Pages: 152-162 Issue: 1 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1551968 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1551968 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:1:p:152-162 Template-Type: ReDIF-Article 1.0 Author-Name: Chunyan Han Author-X-Name-First: Chunyan Author-X-Name-Last: Han Author-Name: Wei Wang Author-X-Name-First: Wei Author-X-Name-Last: Wang Title: Linear state estimation for Markov jump linear system with multi-channel observation delays and packet dropouts Abstract: This paper is to investigate the linear minimum mean square error estimation for Markovian jump linear system subject to unknown Markov chains, multi-channel mode and observation delays, and packet losses. The reorganisation method is employed to convert the delayed measurement system into an equivalent delay-free one and a new state variable is introduced, by which the original state estimation with transmission delays and data losses is transformed into the new state estimation for the reorganised delay-free system with jumping parameters and multiplicative noises. The new state estimation is derived via the innovation analysis method, and an analytical solution to the estimator is given in terms of a set of generalised Riccati difference equations based on a set of coupled Lyapunov equations. Then the original state estimation will be obtained via the jumping property. Finally, we show that the difference Riccati equations converge to a set of generalised algebraic Riccati equations under appropriate assumptions, which result in an optimal stationary filter. Journal: International Journal of Systems Science Pages: 163-177 Issue: 1 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1551969 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1551969 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:1:p:163-177 Template-Type: ReDIF-Article 1.0 Author-Name: Xiao-Ning Shi Author-X-Name-First: Xiao-Ning Author-X-Name-Last: Shi Author-Name: Di Zhou Author-X-Name-First: Di Author-X-Name-Last: Zhou Author-Name: Zhi-Gang Zhou Author-X-Name-First: Zhi-Gang Author-X-Name-Last: Zhou Author-Name: Ruifeng Li Author-X-Name-First: Ruifeng Author-X-Name-Last: Li Title: Continuous adaptive-gain finite-time control for rigid body attitude dynamics on SO(3) Abstract: In this paper, the attitude tracking problem for the rigid body with model uncertainties and external disturbances is investigated in a coordinate-free way. A continuous adaptive-gain second-order sliding mode controller is designed to ensure the establishment of a real second-order sliding mode in finite time, and then the predefined nonsingular fast sliding surface further implies finite-time stability of the attitude error vector and the angular velocity error vector. The key feature of the proposed controller is that it does not require the knowledge of the boundary of the disturbance gradient. A rigorous mathematical proof for the stability of the control system is derived by using the Lyapunov function technique. Finally, simulation comparisons illustrate the effectiveness and robustness of the controller. Journal: International Journal of Systems Science Pages: 178-190 Issue: 1 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1551970 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1551970 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:1:p:178-190 Template-Type: ReDIF-Article 1.0 Author-Name: Lei Xu Author-X-Name-First: Lei Author-X-Name-Last: Xu Author-Name: Quanxin Zhu Author-X-Name-First: Quanxin Author-X-Name-Last: Zhu Title: Stability analysis of 2-D switched systems with multiplicative noise under arbitrary and restricted switching signals Abstract: This paper introduces a new class of discrete-time two-dimensional (2-D) switched systems with multiplicative noise. Firstly, we extend the definition of the asymptotic stability and establish a sufficient stochastically stability condition for this new model under arbitrary switching signal. Then, by introducing the average dwell time into this new model and combining with the Lyapunov function, we investigate the extended stochastic exponential stability of the 2-D switched systems with multiplicative noise for the restricted switching case. Moreover, some remarks and discussions are given to illustrate the significance of obtained results, which generalise and comprise some previous results the literature. Finally, two examples are provided to show the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 191-202 Issue: 1 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1551976 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1551976 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:1:p:191-202 Template-Type: ReDIF-Article 1.0 Author-Name: Wei Xie Author-X-Name-First: Wei Author-X-Name-Last: Xie Title: Design of switched linear control systems based on Youla parameterization with average dwell time Abstract: A two-steps method of designing switched linear systems is presented with the parameterization of globally uniformly asymptotically stabilising controllers with average dwell time (ADT). First, an observer-based switching controller design is given for a class of switched linear system. Based on the construction of observer-based controller, conceptions of doubly coprime factorization and Youla parameterization of LTI systems are extended to switched linear systems with respect to globally uniformly asymptotical stability (GUAS) using a state-space expression. Second, the parameterization of closed-loop systems, which are affine with any globally uniformly asymptotically stable $ Q $ Q-parameter, is then described. This description enables the application of the $ Q $ Q –- parameter approach to a variety of switched linear control-system designs. The control construction provides us a two-steps process design procedure. Above all, based on the Schur complementary lemma and controller variable elimination method, a systematic weighted L2 performance strategy is focused on and a design scheme of $ Q $ Q to obtain weighted L2-gain performance is clarified. Finally, a numerical example is given to show the validity and potential of the developed results. Journal: International Journal of Systems Science Pages: 203-215 Issue: 1 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1552768 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1552768 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:1:p:203-215 Template-Type: ReDIF-Article 1.0 Author-Name: Chao Ma Author-X-Name-First: Chao Author-X-Name-Last: Ma Author-Name: Wei Wu Author-X-Name-First: Wei Author-X-Name-Last: Wu Author-Name: Yinlin Li Author-X-Name-First: Yinlin Author-X-Name-Last: Li Title: Distributed mode-dependent state estimation for semi-Markovian jumping neural networks via sampled data Abstract: In this paper, a novel distributed state estimation scheme with sampled data is proposed for the semi-Markovian jumping neural networks (SMJNNs) with time-varying delays. In particular, mode-dependent distributed state estimators are designed to provide more flexibility. Based on the mode-dependent Lyapunov-Krasovskii functional, sufficient criteria are presented for ensuring the existence of the state estimators, based on which the desired mode-dependent estimator gains are further obtained. Finally, an illustrative example is presented for verifying the effectiveness and applicability of our theoretical results. Journal: International Journal of Systems Science Pages: 216-230 Issue: 1 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1552771 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1552771 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:1:p:216-230 Template-Type: ReDIF-Article 1.0 Author-Name: Yanrong Lu Author-X-Name-First: Yanrong Author-X-Name-Last: Lu Author-Name: Fucheng Liao Author-X-Name-First: Fucheng Author-X-Name-Last: Liao Author-Name: Jiamei Deng Author-X-Name-First: Jiamei Author-X-Name-Last: Deng Author-Name: Huiyang Liu Author-X-Name-First: Huiyang Author-X-Name-Last: Liu Title: Cooperative global optimal preview tracking control of linear multi-agent systems: an internal model approach Abstract: This paper investigates the cooperative global optimal preview tracking problem of linear multi-agent systems under the assumption that the output of a leader is a previewable periodic signal and the topology graph contains a directed spanning tree. First, a type of distributed internal model is introduced, and the cooperative preview tracking problem is converted to a global optimal regulation problem of an augmented system. Second, an optimal controller, which can guarantee the asymptotic stability of the augmented system, is obtained by means of the standard linear quadratic optimal preview control theory. Third, on the basis of proving the existence conditions of the controller, sufficient conditions are given for the original problem to be solvable, meanwhile a cooperative global optimal controller with error integral and preview compensation is derived. Finally, the validity of theoretical results is demonstrated by a numerical simulation. Journal: International Journal of Systems Science Pages: 2451-2462 Issue: 12 Volume: 48 Year: 2017 Month: 9 X-DOI: 10.1080/00207721.2017.1318971 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1318971 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2451-2462 Template-Type: ReDIF-Article 1.0 Author-Name: Changjiang Xi Author-X-Name-First: Changjiang Author-X-Name-Last: Xi Author-Name: Ding Zhai Author-X-Name-First: Ding Author-X-Name-Last: Zhai Author-Name: Jiuxiang Dong Author-X-Name-First: Jiuxiang Author-X-Name-Last: Dong Author-Name: Qingling Zhang Author-X-Name-First: Qingling Author-X-Name-Last: Zhang Title: Approximation-based adaptive fuzzy tracking control for a class of switched nonlinear pure-feedback systems Abstract: In this paper, the problem of adaptive fuzzy tracking control is investigated for switched nonlinear pure-feedback systems under arbitrary switching. By utilising mean value theorem, the considered pure-feedback systems are transformed into a class of switched nonlinear strict-feedback systems. Compared with the existing results, a priori knowledge of control directions is not required. On the other hand, differing from the existing literatures, the piecewise switched adaptive laws are designed to replace the common adaptive laws, which can reduce the conservativeness. Furthermore, the difficulties from how to deal with the unknown control directions and design common virtual control are overcome. Based on the backstepping technique and the common Lyapunov functions, an adaptive fuzzy control scheme is developed to guarantee that all the signals in the closed-loop system are semi-globally uniformly ultimately bounded with the tracking error converging to a neighbourhood of the origin. Simulation results are provided to demonstrate the effectiveness of the proposed techniques. Journal: International Journal of Systems Science Pages: 2463-2472 Issue: 12 Volume: 48 Year: 2017 Month: 9 X-DOI: 10.1080/00207721.2017.1322641 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1322641 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2463-2472 Template-Type: ReDIF-Article 1.0 Author-Name: Ruimei Zhang Author-X-Name-First: Ruimei Author-X-Name-Last: Zhang Author-Name: Deqiang Zeng Author-X-Name-First: Deqiang Author-X-Name-Last: Zeng Author-Name: Shouming Zhong Author-X-Name-First: Shouming Author-X-Name-Last: Zhong Author-Name: Kaibo Shi Author-X-Name-First: Kaibo Author-X-Name-Last: Shi Title: Memory feedback PID control for exponential synchronisation of chaotic Lur'e systems Abstract: This paper studies the problem of exponential synchronisation of chaotic Lur'e systems (CLSs) via memory feedback proportional-integral-derivative (PID) control scheme. First, a novel augmented Lyapunov–Krasovskii functional (LKF) is constructed, which can make full use of the information on time delay and activation function. Second, improved synchronisation criteria are obtained by using new integral inequalities, which can provide much tighter bounds than what the existing integral inequalities can produce. In comparison with existing results, in which only proportional control or proportional derivative (PD) control is used, less conservative results are derived for CLSs by PID control. Third, the desired memory feedback controllers are designed in terms of the solution to linear matrix inequalities. Finally, numerical simulations of Chua's circuit and neural network are provided to show the effectiveness and advantages of the proposed results. Journal: International Journal of Systems Science Pages: 2473-2484 Issue: 12 Volume: 48 Year: 2017 Month: 9 X-DOI: 10.1080/00207721.2017.1322642 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1322642 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2473-2484 Template-Type: ReDIF-Article 1.0 Author-Name: Jin Wang Author-X-Name-First: Jin Author-X-Name-Last: Wang Author-Name: Fan Xu Author-X-Name-First: Fan Author-X-Name-Last: Xu Author-Name: GuoDong Lu Author-X-Name-First: GuoDong Author-X-Name-Last: Lu Title: Neural network-based position synchronised internal force control scheme for cooperative manipulator system Abstract: More complex problems of simultaneous position and internal force control occur with cooperative manipulator systems than that of a single one. In the presence of unwanted parametric and modelling uncertainties as well as external disturbances, a decentralised position synchronised force control scheme is proposed. With a feedforward neural network estimating engine, a precise model of the system dynamics is not required. Unlike conventional cooperative or synchronised controllers, virtual position and virtual synchronisation errors are introduced for internal force tracking control and task space position synchronisation. Meanwhile joint space synchronisation and force measurement are unnecessary. Together with simulation studies and analysis, the position and the internal force errors are shown to asymptotically converge to zero. Moreover, the controller exhibits different characteristics with selected synchronisation factors. Under certain settings, it can deal with temporary cooperation by an intelligent retreat mechanism, where less internal force would occur and rigid collision can be avoided. Using a Lyapunov stability approach, the controller is proven to be robust in face of the aforementioned uncertainties. Journal: International Journal of Systems Science Pages: 2485-2498 Issue: 12 Volume: 48 Year: 2017 Month: 9 X-DOI: 10.1080/00207721.2017.1323134 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1323134 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2485-2498 Template-Type: ReDIF-Article 1.0 Author-Name: Changchun Hua Author-X-Name-First: Changchun Author-X-Name-Last: Hua Author-Name: Jiannan Chen Author-X-Name-First: Jiannan Author-X-Name-Last: Chen Author-Name: Yafeng Li Author-X-Name-First: Yafeng Author-X-Name-Last: Li Title: Leader-follower finite-time formation control of multiple quadrotors with prescribed performance Abstract: This paper investigates the leader-follower formation problem for a group of quadrotors. Finite-time control scheme and prescribed performance control method, which are regarded as two highlights, are introduced in this paper. First, a control scheme with prescribed performance is used to control the translational movements to ensure the quadrotors obtain a relative gentle transient process and an adjustable steady-state error bound. Then, the desired orientations for the rotation subsystem provided by translational movements part are stabilised by a fixed-time control law. Finally, by designing a finite-time formation controller, followers can track the desired position and heading angle in finite time, which is important for the practical application. Several simulation results are given to show the effectiveness of the designed control strategy. Journal: International Journal of Systems Science Pages: 2499-2508 Issue: 12 Volume: 48 Year: 2017 Month: 9 X-DOI: 10.1080/00207721.2017.1323135 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1323135 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2499-2508 Template-Type: ReDIF-Article 1.0 Author-Name: Hongbin Chang Author-X-Name-First: Hongbin Author-X-Name-Last: Chang Author-Name: Ping Sun Author-X-Name-First: Ping Author-X-Name-Last: Sun Author-Name: Shuoyu Wang Author-X-Name-First: Shuoyu Author-X-Name-Last: Wang Title: Output tracking control for an omnidirectional rehabilitative training walker with incomplete measurements and random parameters Abstract: In this study, we propose a model and an output feedback tracking control for an omnidirectional rehabilitative training walker (ODW) with unmeasurable speed, incomplete measurements of position output, and random structural parameters. A stochastic model and an incomplete measurement model were proposed to describe the motion of an ODW subject to random structural parameters and to account for any incomplete data transmission phenomenon caused by possible sensor ageing or failures. A speed observer and a state observer were designed to estimate the unmeasurable speed and the incomplete measurements of position output. Moreover, a dynamic output feedback controller was constructed to ensure the exponential stability in mean square of the tracking error system. Furthermore, the results verify that the choice of appropriate design parameters can result in the mean square of the tracking error becoming arbitrarily small. A simulation example was provided to illustrate the effectiveness of the proposed design procedures. Journal: International Journal of Systems Science Pages: 2509-2521 Issue: 12 Volume: 48 Year: 2017 Month: 9 X-DOI: 10.1080/00207721.2017.1324064 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1324064 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2509-2521 Template-Type: ReDIF-Article 1.0 Author-Name: Hassan A. Yousef Author-X-Name-First: Hassan A. Author-X-Name-Last: Yousef Author-Name: Mohamed Hamdy Author-X-Name-First: Mohamed Author-X-Name-Last: Hamdy Author-Name: Kyrillos Nashed Author-X-Name-First: Kyrillos Author-X-Name-Last: Nashed Title: Adaptive fuzzy controller for a class of nonlinear systems with unknown backlash-like hysteresis Abstract: This paper proposes an adaptive fuzzy logic control scheme for a class of strict-feedback nonlinear systems with unknown backlash-like hysteresis. The proposed controller exploits the properties of the newly developed L1${{\cal L}_1}$ adaptive control in conjunction with the approximation capability of fuzzy systems. The developed controller is fast, the adaptation can be as fast as the CPU permits, and robust by virtue of the L1${{\cal L}_1}$ adaptive control structure and the direct estimation of the system nonlinear functions via fuzzy logic systems. As a result, the proposed L1${{\cal L}_1}$ adaptive fuzzy controller has a simpler form and requires fewer adaptation parameters. The inverted pendulum and Duffing forced oscillation systems are used in simulation studies to verify the effectiveness of the proposed L1${{\cal L}_1}$ adaptive fuzzy control scheme. Journal: International Journal of Systems Science Pages: 2522-2533 Issue: 12 Volume: 48 Year: 2017 Month: 9 X-DOI: 10.1080/00207721.2017.1324065 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1324065 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2522-2533 Template-Type: ReDIF-Article 1.0 Author-Name: Le Van Hien Author-X-Name-First: Le Van Author-X-Name-Last: Hien Title: An LP approach to full-order and reduced-order state estimations of positive Markov jump systems with delay Abstract: In this paper, the problems of full-order and reduced-order positive state estimations are developed for discrete-time positive Markov jump linear systems with delay. By establishing a positive time-delay system for 1-moment function of the state vector, delay-dependent necessary and sufficient exponential stability conditions are first derived based on a comparison technique for positive systems. Then, on the basis of the derived stability conditions, the problems of designing positive state observers in full-order and reduced-order for positive Markov jump systems with delay are addressed. The existence conditions of positive observers and the design schemes are formulated in terms of linear programming problems which can be effectively solved by various optimisation algorithms to obtain the observer parameters. Finally, three numerical examples with simulations are given to validate the analysis and design results. Journal: International Journal of Systems Science Pages: 2534-2543 Issue: 12 Volume: 48 Year: 2017 Month: 9 X-DOI: 10.1080/00207721.2017.1324066 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1324066 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2534-2543 Template-Type: ReDIF-Article 1.0 Author-Name: B. El Haiek Author-X-Name-First: B. Author-X-Name-Last: El Haiek Author-Name: A. Hmamed Author-X-Name-First: A. Author-X-Name-Last: Hmamed Author-Name: A. El Hajjaji Author-X-Name-First: A. Author-X-Name-Last: El Hajjaji Author-Name: E.H. Tissir Author-X-Name-First: E.H. Author-X-Name-Last: Tissir Title: Improved results on observer-based control for discrete-time fuzzy systems Abstract: This paper is concerned with the design problem of observer-based H∞ control for discrete-time Takagi−Sugeno (T−S) fuzzy systems. New sufficient conditions guaranteeing the H∞ performance of the T−S fuzzy systems are derived. With the aid of some special derivations, bilinear matrix inequalities are converted into a set of linear matrix inequalities which can be solved using a single-step resolution procedure. In comparison with the existing literature results, the proposed approach may provide more relaxed conditions while ensuring better H∞ performance. Finally, both numerical and practical examples are given to verify the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 2544-2553 Issue: 12 Volume: 48 Year: 2017 Month: 9 X-DOI: 10.1080/00207721.2017.1324067 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1324067 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2544-2553 Template-Type: ReDIF-Article 1.0 Author-Name: Meng-Meng Jiang Author-X-Name-First: Meng-Meng Author-X-Name-Last: Jiang Author-Name: Ping Wang Author-X-Name-First: Ping Author-X-Name-Last: Wang Author-Name: Xue-Jun Xie Author-X-Name-First: Xue-Jun Author-X-Name-Last: Xie Title: Global output feedback stabilisation of nonlinear time-delay systems with unknown output function Abstract: This paper studies the problem of global output feedback stabilisation for a class of nonlinear time-delay systems with the unknown output function. By constructing the appropriate Lyapunov–Krasovskii functional and observer, skillfully combining generalised adding a power integrator technique, sign function and homogeneous domination approach, an output feedback controller is designed to guarantee globally uniformly asymptotical stability of nonlinear time-delay systems with the unknown output function. Journal: International Journal of Systems Science Pages: 2554-2564 Issue: 12 Volume: 48 Year: 2017 Month: 9 X-DOI: 10.1080/00207721.2017.1324068 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1324068 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2554-2564 Template-Type: ReDIF-Article 1.0 Author-Name: Lingxia Cui Author-X-Name-First: Lingxia Author-X-Name-Last: Cui Author-Name: Shihua Chen Author-X-Name-First: Shihua Author-X-Name-Last: Chen Author-Name: Lei Wang Author-X-Name-First: Lei Author-X-Name-Last: Wang Title: Distributed control for multi-target circumnavigation by a group of agents Abstract: This study investigated the multi-target circumnavigation problem. The multi-target circumnavigation problems involve a group of agents circumnavigating moving targets in a coordinated fashion. To address the problem, a decentralised estimator is first constructed at each agent to estimate the geometric centre of the targets. Then, the distributed control strategy is developed by means of the estimator, which guarantees that the agents preserve the desired distance to the target centre and rotate around the targets at uniformly spaced angles. In particular, the topology structure of the agents only needs to be a tree rather than the ring. Thus, the control scheme is more feasible and robust and requires less information. The convergence of the proposed algorithms is demonstrated based on Lasalle's invariance principle and algebraic graph theory. Several numerical simulations are provided to validate the results. Journal: International Journal of Systems Science Pages: 2565-2574 Issue: 12 Volume: 48 Year: 2017 Month: 9 X-DOI: 10.1080/00207721.2017.1324921 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1324921 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2565-2574 Template-Type: ReDIF-Article 1.0 Author-Name: Yun Kang Author-X-Name-First: Yun Author-X-Name-Last: Kang Author-Name: Shunxiang Wu Author-X-Name-First: Shunxiang Author-X-Name-Last: Wu Author-Name: Yuwen Li Author-X-Name-First: Yuwen Author-X-Name-Last: Li Author-Name: Wei Weng Author-X-Name-First: Wei Author-X-Name-Last: Weng Title: New and improved: grey multi-granulation rough sets Abstract: Rough set has drawn great attention in recent decades, among which multi-granulation rough set (MGRS) is an arresting direction. It constructs a formal theoretical framework to solve complex problems under the circumstance of multiple binary relations. However, the fusion of multi-granulation rough set and grey system for acquiring knowledge is still a gap. Toward this end, we devise a grey multi-granulation rough set (GMGRS) by taking multiple grey relational relations into consideration under the framework of MGRS. In grey information system, the constructed grey relational relation that measures the relationship among objects can be used to further establish multiple binary relations. Based on two different approximate strategies (seeking common reserving difference and seeking common eliminating difference), two types of GMGRS are presented, respectively. After discussing several important properties of GMGRS, we discover that the properties of the proposed GMGRS are synchronous with the classical MGRS. Meanwhile, to obtain the attribute reduction under GMGRS, we reconstruct significance measure and termination criterion based on the θ-precision pessimistic GMGRS. Last but not least, theoretical studies and practical examples demonstrate that our proposed GMGRS largely enrich the MGRS theory and provide a new technique for knowledge discovery, which is practical in real-world scenarios. Journal: International Journal of Systems Science Pages: 2575-2589 Issue: 12 Volume: 48 Year: 2017 Month: 9 X-DOI: 10.1080/00207721.2017.1324922 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1324922 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2575-2589 Template-Type: ReDIF-Article 1.0 Author-Name: W. Wang Author-X-Name-First: W. Author-X-Name-Last: Wang Author-Name: D. Wang Author-X-Name-First: D. Author-X-Name-Last: Wang Author-Name: Z. H. Peng Author-X-Name-First: Z. H. Author-X-Name-Last: Peng Title: Cooperative learning neural network output feedback control of uncertain nonlinear multi-agent systems under directed topologies Abstract: Without assuming that the communication topologies among the neural network (NN) weights are to be undirected and the states of each agent are measurable, the cooperative learning NN output feedback control is addressed for uncertain nonlinear multi-agent systems with identical structures in strict-feedback form. By establishing directed communication topologies among NN weights to share their learned knowledge, NNs with cooperative learning laws are employed to identify the uncertainties. By designing NN-based κ-filter observers to estimate the unmeasurable states, a new cooperative learning output feedback control scheme is proposed to guarantee that the system outputs can track nonidentical reference signals with bounded tracking errors. A simulation example is given to demonstrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 2590-2598 Issue: 12 Volume: 48 Year: 2017 Month: 9 X-DOI: 10.1080/00207721.2017.1324923 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1324923 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2590-2598 Template-Type: ReDIF-Article 1.0 Author-Name: Guanglei Zhao Author-X-Name-First: Guanglei Author-X-Name-Last: Zhao Author-Name: Changchun Hua Author-X-Name-First: Changchun Author-X-Name-Last: Hua Title: Continuous–discrete-time adaptive observers for nonlinear systems with sampled output measurements Abstract: This paper considers the continuous–discrete-time adaptive observer (CDAO) design for a class of nonlinear systems with unknown constant parameters and sampled output measurements. The proposed observer is actually an impulsive system, since the observer state flows according to a set of differential equations and with instantaneous state jumps corresponding to measured samples and their estimates, and an inter-sample output predictor is used to predict the output during sampling intervals. By assuming appropriate persistent excitation conditions and following a technical lemma, an upper bound of the sampling intervals is derived, with which the convergence of the observer state and unknown parameters can be ensured. Finally, the proposed observer is used in examples of chaotic oscillators and single-link flexible-joint robot manipulator to show the effectiveness. Journal: International Journal of Systems Science Pages: 2599-2609 Issue: 12 Volume: 48 Year: 2017 Month: 9 X-DOI: 10.1080/00207721.2017.1324924 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1324924 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2599-2609 Template-Type: ReDIF-Article 1.0 Author-Name: Yingying Ren Author-X-Name-First: Yingying Author-X-Name-Last: Ren Author-Name: Da-Wei Ding Author-X-Name-First: Da-Wei Author-X-Name-Last: Ding Author-Name: Qing Li Author-X-Name-First: Qing Author-X-Name-Last: Li Title: Finite-frequency fault detection for two-dimensional Fornasini–Marchesini dynamical systems Abstract: This paper is concerned with the fault detection problem for two-dimensional (2-D) discrete-time systems described by the Fornasini–Marchesini local state-space model. The goal of the paper is to design a fault detection filter to detect the occurrence of faults in finite-frequency domain. To this end, a finite-frequency H− index is used to describe fault sensitivity performance, and a finite-frequency H∞ index is used to describe disturbance attenuation performance. In light of the generalised Kalman–Yakubovich–Popov lemma for 2-D systems and matrix inequality techniques, convex conditions are derived for this fault detection problem. Based on these conditions, a numerical algorithm is put forward to construct a desired fault detection filter. Finally, a numerical example and an industrial example are given to illustrate the effectiveness of the proposed algorithm. Journal: International Journal of Systems Science Pages: 2610-2621 Issue: 12 Volume: 48 Year: 2017 Month: 9 X-DOI: 10.1080/00207721.2017.1333169 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1333169 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2610-2621 Template-Type: ReDIF-Article 1.0 Author-Name: Ying Gu Author-X-Name-First: Ying Author-X-Name-Last: Gu Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Sensor fault estimation for Lipschitz nonlinear systems in finite-frequency domain Abstract: In this study, the problem of sensor fault estimation observer design for Lipschitz nonlinear systems with finite-frequency specifications is investigated. First, the sensor fault is considered as an auxiliary state vector and an augmented system is established. Then, by transforming the nonlinear error dynamics into a linear parameter varying system, a sufficient condition for the observer-error system with a finite-frequency H∞ performance is derived in terms of linear matrix inequalities (LMIs). Based on the obtained condition, novel nonlinear observers are designed to simultaneously estimate the system states and the fault signals and attenuate the disturbances in the finite-frequency domain. The proposed design method can provide less restrictive LMI conditions and get a better disturbance-attenuation performance when the frequency ranges of disturbances are known beforehand. A numerical example is given to show the effectiveness and superiority of the new results. Journal: International Journal of Systems Science Pages: 2622-2632 Issue: 12 Volume: 48 Year: 2017 Month: 9 X-DOI: 10.1080/00207721.2017.1334099 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1334099 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2622-2632 Template-Type: ReDIF-Article 1.0 Author-Name: Dong Cheng Author-X-Name-First: Dong Author-X-Name-Last: Cheng Author-Name: Faxin Cheng Author-X-Name-First: Faxin Author-X-Name-Last: Cheng Author-Name: Zhili Zhou Author-X-Name-First: Zhili Author-X-Name-Last: Zhou Author-Name: Juan Wang Author-X-Name-First: Juan Author-X-Name-Last: Wang Title: Group prioritisation with unknown expert weights in incomplete linguistic context Abstract: In this paper, we study a group prioritisation problem in situations when the expert weights are completely unknown and their judgement preferences are linguistic and incomplete. Starting from the theory of relative entropy (RE) and multiplicative consistency, an optimisation model is provided for deriving an individual priority vector without estimating the missing value(s) of an incomplete linguistic preference relation. In order to address the unknown expert weights in the group aggregating process, we define two new kinds of expert weight indicators based on RE: proximity entropy weight and similarity entropy weight. Furthermore, a dynamic-adjusting algorithm (DAA) is proposed to obtain an objective expert weight vector and capture the dynamic properties involved in it. Unlike the extant literature of group prioritisation, the proposed RE approach does not require pre-allocation of expert weights and can solve incomplete preference relations. An interesting finding is that once all the experts express their preference relations, the final expert weight vector derived from the DAA is fixed irrespective of the initial settings of expert weights. Finally, an application example is conducted to validate the effectiveness and robustness of the RE approach. Journal: International Journal of Systems Science Pages: 2633-2643 Issue: 12 Volume: 48 Year: 2017 Month: 9 X-DOI: 10.1080/00207721.2017.1337947 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1337947 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2633-2643 Template-Type: ReDIF-Article 1.0 Author-Name: Weifeng Xia Author-X-Name-First: Weifeng Author-X-Name-Last: Xia Author-Name: Qian Ma Author-X-Name-First: Qian Author-X-Name-Last: Ma Author-Name: Junwei Lu Author-X-Name-First: Junwei Author-X-Name-Last: Lu Author-Name: Guangming Zhuang Author-X-Name-First: Guangming Author-X-Name-Last: Zhuang Title: Reliable filtering with extended dissipativity for uncertain systems with discrete and distributed delays Abstract: This paper deals with the problem of reliable filter with extended dissipativity for uncertain systems with discrete and distributed delays, and sensor-failure model of this system is assumed to be concerned with Markovian behaviour. First, based on a novel Lyapunov–Krasovskii functional, a sufficient condition, which ensures that the filtering error system is stochastically stable and extended dissipative, is obtained. Second, mode-dependent conditions for the solvability to the reliable filter with extended dissipativity problem are given in terms of linear matrix inequalities (LMIs). The desired filter parameters can be derived by using feasible solutions to the presented LMIs. Finally, two numerical examples are given to illustrate the effectiveness of the filter design method. Journal: International Journal of Systems Science Pages: 2644-2657 Issue: 12 Volume: 48 Year: 2017 Month: 9 X-DOI: 10.1080/00207721.2017.1337948 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1337948 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2644-2657 Template-Type: ReDIF-Article 1.0 Author-Name: Yang Li Author-X-Name-First: Yang Author-X-Name-Last: Li Author-Name: Wei-Gang Cui Author-X-Name-First: Wei-Gang Author-X-Name-Last: Cui Author-Name: Mei-Lin Luo Author-X-Name-First: Mei-Lin Author-X-Name-Last: Luo Author-Name: Ke Li Author-X-Name-First: Ke Author-X-Name-Last: Li Author-Name: Lina Wang Author-X-Name-First: Lina Author-X-Name-Last: Wang Title: High-resolution time–frequency representation of EEG data using multi-scale wavelets Abstract: An efficient time-varying autoregressive (TVAR) modelling scheme that expands the time-varying parameters onto the multi-scale wavelet basis functions is presented for modelling nonstationary signals and with applications to time–frequency analysis (TFA) of electroencephalogram (EEG) signals. In the new parametric modelling framework, the time-dependent parameters of the TVAR model are locally represented by using a novel multi-scale wavelet decomposition scheme, which can allow the capability to capture the smooth trends as well as track the abrupt changes of time-varying parameters simultaneously. A forward orthogonal least square (FOLS) algorithm aided by mutual information criteria are then applied for sparse model term selection and parameter estimation. Two simulation examples illustrate that the performance of the proposed multi-scale wavelet basis functions outperforms the only single-scale wavelet basis functions or Kalman filter algorithm for many nonstationary processes. Furthermore, an application of the proposed method to a real EEG signal demonstrates the new approach can provide highly time-dependent spectral resolution capability. Journal: International Journal of Systems Science Pages: 2658-2668 Issue: 12 Volume: 48 Year: 2017 Month: 9 X-DOI: 10.1080/00207721.2017.1340986 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1340986 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2658-2668 Template-Type: ReDIF-Article 1.0 Author-Name: Hansheng Wu Author-X-Name-First: Hansheng Author-X-Name-Last: Wu Title: Adaptive robust output tracking of uncertain strict-feedback nonlinear time-delay systems via control schemes with simple structure Abstract: The output tracking control problem is considered for a class of uncertain strict-feedback nonlinear systems with time-varying delays. In the paper, the time-varying delays are assumed to be any non-negative continuous and bounded functions, and it is not necessary for their derivatives to be less than one. It is also assumed that the upper bounds of nonlinear delayed state perturbations and external disturbances are unknown. On the basis of backstepping algorithm, a novel design method is proposed by which some simple adaptive robust output tracking control schemes are synthesised. The proposed design method can avoid the repeated differentiation problem which appears in using the conventional backstepping algorithm, and need not know all the nonlinear upper bound functions of uncertainties, which are repeatedly employed at each step of the backstepping algorithm. In particular, it is not necessary to know any information on the time-varying delays to construct our simple output tracking control schemes. It is also shown that the tracking error can converge uniformly exponentially towards a neighbourhood of the origin. Finally, a numerical example and its simulations are provided to demonstrate the design procedure of the simple method proposed in the paper. Journal: International Journal of Systems Science Pages: 2669-2681 Issue: 12 Volume: 48 Year: 2017 Month: 9 X-DOI: 10.1080/00207721.2017.1340987 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1340987 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2669-2681 Template-Type: ReDIF-Article 1.0 Author-Name: Murat Şeker Author-X-Name-First: Murat Author-X-Name-Last: Şeker Author-Name: Erkan Zergeroğlu Author-X-Name-First: Erkan Author-X-Name-Last: Zergeroğlu Author-Name: Enver Tatlicioğlu Author-X-Name-First: Enver Author-X-Name-Last: Tatlicioğlu Title: Non-linear control of variable-speed wind turbines with permanent magnet synchronous generators: a robust backstepping approach Abstract: In this study, a robust backstepping approach for the control problem of the variable-speed wind turbine with a permanent magnet synchronous generator is presented. Specifically, to overcome the negative effects of parametric uncertainties in both mechanical and electrical subsystems, a robust controller with a differentiable compensation term is proposed. The proposed methodology ensures the generator velocity tracking error to uniformly approach a small bound where practical tracking is achieved. Stability of the overall system is ensured by Lyapunov-based arguments. Comparative simulation studies with a standard proportional-integral-type controller are performed to illustrate the effectiveness, feasibility and efficiency of the proposed controller. Journal: International Journal of Systems Science Pages: 420-432 Issue: 2 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2013.834087 File-URL: http://hdl.handle.net/10.1080/00207721.2013.834087 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:2:p:420-432 Template-Type: ReDIF-Article 1.0 Author-Name: Rudy Cepeda-Gomez Author-X-Name-First: Rudy Author-X-Name-Last: Cepeda-Gomez Author-Name: Nejat Olgac Author-X-Name-First: Nejat Author-X-Name-Last: Olgac Title: Stability of formation control using a consensus protocol under directed communications with two time delays and delay scheduling Abstract: We consider a linear algorithm to achieve formation control in a group of agents which are driven by second-order dynamics and affected by two rationally independent delays. One of the delays is in the position and the other in the velocity information channels. These delays are taken as constant and uniform throughout the system. The communication topology is assumed to be directed and fixed. The formation is attained by adding a supplementary control term to the stabilising consensus protocol. In preparation for the formation control logic, we first study the stability of the consensus, using the recent cluster treatment of characteristic roots (CTCR) paradigm. This effort results in a unique depiction of the non-conservative stability boundaries in the domain of the delays. However, CTCR requires the knowledge of the potential stability switching loci exhaustively within this domain. The creation of these loci is done in a new surrogate coordinate system, called the ‘spectral delay space (SDS)’. The relative stability is also investigated, which has to do with the speed of reaching consensus. This step leads to a paradoxical control design concept, called the ‘delay scheduling’, which highlights the fact that the group behaviour may be enhanced by increasing the delays. These steps lead to a control strategy to establish a desired group formation that guarantees spacing among the agents. Example case studies are presented to validate the underlying analytical derivations. Journal: International Journal of Systems Science Pages: 433-449 Issue: 2 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2014.886745 File-URL: http://hdl.handle.net/10.1080/00207721.2014.886745 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:2:p:433-449 Template-Type: ReDIF-Article 1.0 Author-Name: Shib Sankar Sana Author-X-Name-First: Shib Sankar Author-X-Name-Last: Sana Title: Optimal production lot size and reorder point of a two-stage supply chain while random demand is sensitive with sales teams' initiatives Abstract: The paper develops a production-inventory model of a two-stage supply chain consisting of one manufacturer and one retailer to study production lot size/order quantity, reorder point sales teams’ initiatives where demand of the end customers is dependent on random variable and sales teams’ initiatives simultaneously. The manufacturer produces the order quantity of the retailer at one lot in which the procurement cost per unit quantity follows a realistic convex function of production lot size. In the chain, the cost of sales team's initiatives/promotion efforts and wholesale price of the manufacturer are negotiated at the points such that their optimum profits reached nearer to their target profits. This study suggests to the management of firms to determine the optimal order quantity/production quantity, reorder point and sales teams’ initiatives/promotional effort in order to achieve their maximum profits. An analytical method is applied to determine the optimal values of the decision variables. Finally, numerical examples with its graphical presentation and sensitivity analysis of the key parameters are presented to illustrate more insights of the model. Journal: International Journal of Systems Science Pages: 450-465 Issue: 2 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2014.886748 File-URL: http://hdl.handle.net/10.1080/00207721.2014.886748 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:2:p:450-465 Template-Type: ReDIF-Article 1.0 Author-Name: Min-Tsai Lai Author-X-Name-First: Min-Tsai Author-X-Name-Last: Lai Author-Name: Huey Yan Author-X-Name-First: Huey Author-X-Name-Last: Yan Title: Optimal number of minimal repairs with cumulative repair cost limit for a two-unit system with failure rate interactions Abstract: A discrete replacement model is presented that includes a cumulative repair cost limit for a two-unit system with failure rate interactions between the units. We assume a failure in unit 1 causes the failure rate in unit 2 to increase, whereas a failure in unit 2 causes a failure in unit 1, resulting in a total system failure. If unit 1 fails and the cumulative repair cost till to this failure is less than a limit L, then unit 1 is repaired. If there is a failure in unit 1 and the cumulative repair cost exceeds L or the number of failures equals n, the entire system is preventively replaced. The system is also replaced at a total failure, and such replacement cost is higher than the preventive replacement cost. The long-term expected cost per unit time is derived using the expected costs as the optimality criterion. The minimum-cost policy is derived, and existence and uniqueness are proved. Journal: International Journal of Systems Science Pages: 466-473 Issue: 2 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2014.886749 File-URL: http://hdl.handle.net/10.1080/00207721.2014.886749 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:2:p:466-473 Template-Type: ReDIF-Article 1.0 Author-Name: Nantiwat Pholdee Author-X-Name-First: Nantiwat Author-X-Name-Last: Pholdee Author-Name: Sujin Bureerat Author-X-Name-First: Sujin Author-X-Name-Last: Bureerat Title: Hybrid real-code ant colony optimisation for constrained mechanical design Abstract: This paper proposes a hybrid meta-heuristic based on integrating a local search simplex downhill (SDH) method into the search procedure of real-code ant colony optimisation (ACOR). This hybridisation leads to five hybrid algorithms where a Monte Carlo technique, a Latin hypercube sampling technique (LHS) and a translational propagation Latin hypercube design (TPLHD) algorithm are used to generate an initial population. Also, two numerical schemes for selecting an initial simplex are investigated. The original ACOR and its hybrid versions along with a variety of established meta-heuristics are implemented to solve 17 constrained test problems where a fuzzy set theory penalty function technique is used to handle design constraints. The comparative results show that the hybrid algorithms are the top performers. Using the TPLHD technique gives better results than the other sampling techniques. The hybrid optimisers are a powerful design tool for constrained mechanical design problems. Journal: International Journal of Systems Science Pages: 474-491 Issue: 2 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2014.891664 File-URL: http://hdl.handle.net/10.1080/00207721.2014.891664 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:2:p:474-491 Template-Type: ReDIF-Article 1.0 Author-Name: Jin Zhang Author-X-Name-First: Jin Author-X-Name-Last: Zhang Author-Name: Chen Peng Author-X-Name-First: Chen Author-X-Name-Last: Peng Author-Name: Min Zheng Author-X-Name-First: Min Author-X-Name-Last: Zheng Title: Improved results for linear discrete-time systems with an interval time-varying input delay Abstract: This paper addresses the problem of delay-dependent stability analysis and controller synthesis for a discrete-time system with an interval time-varying input delay. By dividing delay interval into multiple parts and constructing a novel piecewise Lyapunov–Krasovskii functional, an improved delay-partitioning-dependent stability criterion and a stabilisation criterion are obtained in terms of matrix inequalities. Compared with some existing results, since a tighter bounding inequality is employed to deal with the integral items, our results depend on less number of linear matrix inequality scalar decision variables while obtaining same or better allowable upper delay bound. Numerical examples show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 492-499 Issue: 2 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2014.891674 File-URL: http://hdl.handle.net/10.1080/00207721.2014.891674 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:2:p:492-499 Template-Type: ReDIF-Article 1.0 Author-Name: Wenhai Qi Author-X-Name-First: Wenhai Author-X-Name-Last: Qi Author-Name: Xianwen Gao Author-X-Name-First: Xianwen Author-X-Name-Last: Gao Title: Finite-time control for stochastic time-delayed Markovian switching systems with partly known transition rates and nonlinearity Abstract: This paper focuses on the problem of finite-time H∞ control for stochastic time-delayed Markovian switching systems with partly known transition rates and nonlinearity. By employing an appropriate Lyapunov function and some appropriate free-weighting matrices, a state feedback controller is designed to ensure H∞ finite-time boundedness of the resulting closed-loop system that contains time-varying delay, admissible external disturbance, It o^$\hat{o}$-type stochastic disturbance and nonlinearity. All the proposed conditions are established in the form of linear matrix inequalities. Finally, an example is given to demonstrate the validity of the main results. Journal: International Journal of Systems Science Pages: 500-508 Issue: 2 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1025891 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1025891 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:2:p:500-508 Template-Type: ReDIF-Article 1.0 Author-Name: Wenhai Qi Author-X-Name-First: Wenhai Author-X-Name-Last: Qi Author-Name: Xianwen Gao Author-X-Name-First: Xianwen Author-X-Name-Last: Gao Title: Finite-time H-infinite control for stochastic time-delayed Markovian switching systems with partly known transition rates and nonlinearity Abstract: Journal: International Journal of Systems Science Pages: I-I Issue: 2 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1041231 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1041231 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:2:p:I-I Template-Type: ReDIF-Article 1.0 Author-Name: Baoyan Zhu Author-X-Name-First: Baoyan Author-X-Name-Last: Zhu Author-Name: Qingling Zhang Author-X-Name-First: Qingling Author-X-Name-Last: Zhang Author-Name: Enliang Zhao Author-X-Name-First: Enliang Author-X-Name-Last: Zhao Title: Robust dissipative filtering for a kind of T-S fuzzy descriptor system with immeasurable premise variables Abstract: The problem of delay-dependent robust dissipative filtering is investigated for a kind of Takagi–Sugeno (T-S) fuzzy descriptor system with immeasurable premise variables. By utilising the free-weighting matrix approach and combining them with the structural characteristics of the error system, we propose the solvable conditions of the dissipative filter that ensure an error system with immeasurable states is admissible and strictly dissipative. This implies that it is not necessary to assume that the error systems are regular and impulse-free prior to designing filters. The derived method can be applied broadly to nonlinear systems. Also, the solvable condition of the dissipative filter with measurable states is a special case of this study. We also elicit the design methods of the H∞ and passive filters, which could potentially reduce the cost and time spent on the filter design. Finally, we perform simulations to validate the derived methods for two kinds of nonlinear descriptor systems. Journal: International Journal of Systems Science Pages: 265-282 Issue: 2 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1042088 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1042088 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:2:p:265-282 Template-Type: ReDIF-Article 1.0 Author-Name: Huan Zhou Author-X-Name-First: Huan Author-X-Name-Last: Zhou Author-Name: Jian-qiang Wang Author-X-Name-First: Jian-qiang Author-X-Name-Last: Wang Author-Name: Hong-yu Zhang Author-X-Name-First: Hong-yu Author-X-Name-Last: Zhang Author-Name: Xiao-hong Chen Author-X-Name-First: Xiao-hong Author-X-Name-Last: Chen Title: Linguistic hesitant fuzzy multi-criteria decision-making method based on evidential reasoning Abstract: Linguistic hesitant fuzzy sets (LHFSs), which can be used to represent decision-makers’ qualitative preferences as well as reflect their hesitancy and inconsistency, have attracted a great deal of attention due to their flexibility and efficiency. This paper focuses on a multi-criteria decision-making approach that combines LHFSs with the evidential reasoning (ER) method. After reviewing existing studies of LHFSs, a new order relationship and Hamming distance between LHFSs are introduced and some linguistic scale functions are applied. Then, the ER algorithm is used to aggregate the distributed assessment of each alternative. Subsequently, the set of aggregated alternatives on criteria are further aggregated to get the overall value of each alternative. Furthermore, a nonlinear programming model is developed and genetic algorithms are used to obtain the optimal weights of the criteria. Finally, two illustrative examples are provided to show the feasibility and usability of the method, and comparison analysis with the existing method is made. Journal: International Journal of Systems Science Pages: 314-327 Issue: 2 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1042089 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1042089 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:2:p:314-327 Template-Type: ReDIF-Article 1.0 Author-Name: Bin Zhou Author-X-Name-First: Bin Author-X-Name-Last: Zhou Author-Name: Shen Cong Author-X-Name-First: Shen Author-X-Name-Last: Cong Title: Stabilisation and consensus of linear systems with multiple input delays by truncated pseudo-predictor feedback Abstract: This paper provides a new approach referred to as pseudo-predictor feedback (PPF) for stabilisation of linear systems with multiple input delays. Differently from the traditional predictor feedback which is from the model reduction appoint of view, the proposed PPF utilises the idea of prediction by generalising the corresponding results for linear systems with a single input delay to the case of multiple input delays. Since the PPF will generally lead to distributed controllers, a truncated pseudo-predictor feedback (TPPF) approach is established instead, which gives finite dimensional controllers. It is shown that the TPPF can compensate arbitrarily large yet bounded delays as long as the open-loop system is only polynomially unstable. The proposed TPPF approach is then used to solve the consensus problems for multi-agent systems characterised by linear systems with multiple input delays. Numerical examples show the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 328-342 Issue: 2 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1053833 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1053833 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:2:p:328-342 Template-Type: ReDIF-Article 1.0 Author-Name: H. Wang Author-X-Name-First: H. Author-X-Name-Last: Wang Author-Name: D. Wang Author-X-Name-First: D. Author-X-Name-Last: Wang Author-Name: Z.H. Peng Author-X-Name-First: Z.H. Author-X-Name-Last: Peng Title: Adaptive neural control for cooperative path following of marine surface vehicles: state and output feedback Abstract: This paper addresses the cooperative path-following problem of multiple marine surface vehicles subject to dynamical uncertainties and ocean disturbances induced by unknown wind, wave and ocean current. The control design falls neatly into two parts. One is to steer individual marine surface vehicle to track a predefined path and the other is to synchronise the along-path speed and path variables under the constraints of an underlying communication network. Within these two formulations, a robust adaptive path-following controller is first designed for individual vehicles based on backstepping and neural network techniques. Then, a decentralised synchronisation control law is derived by means of consensus on along-path speed and path variables based on graph theory. The distinct feature of this design lies in that synchronised path following can be reached for any undirected connected communication graphs without accurate knowledge of the model. This result is further extended to the output feedback case, where an observer-based cooperative path-following controller is developed without measuring the velocity of each vehicle. For both designs, rigorous theoretical analysis demonstrate that all signals in the closed-loop system are semi-global uniformly ultimately bounded. Simulation results validate the performance and robustness improvement of the proposed strategy. Journal: International Journal of Systems Science Pages: 343-359 Issue: 2 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1056274 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1056274 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:2:p:343-359 Template-Type: ReDIF-Article 1.0 Author-Name: Yingying Cui Author-X-Name-First: Yingying Author-X-Name-Last: Cui Author-Name: Suli Zou Author-X-Name-First: Suli Author-X-Name-Last: Zou Author-Name: Zhongjing Ma Author-X-Name-First: Zhongjing Author-X-Name-Last: Ma Title: Auction-based resource allocation game under a hierarchical structure Abstract: This paper studies a class of auction-based resource allocation games under a hierarchical structure, such that each supplier is assigned a certain amount of resource from a single provider and allocates it to its buyers with auction mechanisms. To implement the efficient allocations for the underlying hierarchical system, we first design an auction mechanism, for each local system composed of a supplier and its buyers, which inherits the advantages of the progressive second price mechanism. By employing a dynamic algorithm, each local system converges to its own efficient Nash equilibrium, at which the efficient resource allocation is achieved and the bidding prices of all the buyers in this local system are identical with each other. After the local systems reach their own equilibria respectively, the resources assigned to suppliers are readjusted via a dynamic hierarchical algorithm with respect to the bidding prices associated with the implemented equilibria of local systems. By applying the proposed hierarchical process, the formulated hierarchical system can converge to the efficient allocation under certain mild conditions. The developed results in this work are demonstrated with simulations. Journal: International Journal of Systems Science Pages: 360-373 Issue: 2 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1063174 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1063174 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:2:p:360-373 Template-Type: ReDIF-Article 1.0 Author-Name: Juan Garrido Author-X-Name-First: Juan Author-X-Name-Last: Garrido Author-Name: Francisco Vázquez Author-X-Name-First: Francisco Author-X-Name-Last: Vázquez Author-Name: Fernando Morilla Author-X-Name-First: Fernando Author-X-Name-Last: Morilla Author-Name: Julio E. Normey-Rico Author-X-Name-First: Julio E. Author-X-Name-Last: Normey-Rico Title: Smith predictor with inverted decoupling for square multivariable time delay systems Abstract: This paper presents a new methodology to design multivariable Smith predictor for n×n processes with multiple time delays based on the centralised inverted decoupling structure. The controller elements are calculated in order to achieve good reference tracking and decoupling response. Independent of the system size, very simple general expressions for the controller elements are obtained. The realisability conditions are provided and the particular case of processes with all of its elements as first-order plus time delay systems is discussed in more detail. A diagonal filter is added to the proposed control structure in order to improve the disturbance rejection without modifying the nominal set-point response and to obtain a stable output prediction in unstable plants. The effectiveness of the method is illustrated through different simulation examples in comparison with other works. Journal: International Journal of Systems Science Pages: 374-388 Issue: 2 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1067338 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1067338 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:2:p:374-388 Template-Type: ReDIF-Article 1.0 Author-Name: Ignacio Peñarrocha Author-X-Name-First: Ignacio Author-X-Name-Last: Peñarrocha Author-Name: Daniel Dolz Author-X-Name-First: Daniel Author-X-Name-Last: Dolz Author-Name: Julio Ariel Romero Author-X-Name-First: Julio Ariel Author-X-Name-Last: Romero Author-Name: Roberto Sanchis Author-X-Name-First: Roberto Author-X-Name-Last: Sanchis Title: Co-design of jump observers for event-based measurements over networks Abstract: This work presents a strategy to minimise the network usage and the energy consumption of wireless battery-powered sensors in the observer problem over networks. The sensor nodes implement a periodic send-on-delta approach, sending new measurements when a measure deviates considerably from the previous sent one. The estimator node implements a jump observer whose gains are computed offline and depend on the combination of available new measurements. We bound the estimator performance as a function of the sending policies and then state the design procedure of the observer under fixed sending thresholds as a semidefinite programming problem. We address this problem first in a deterministic way and, to reduce conservativeness, in a stochastic one after obtaining bounds on the probabilities of having new measurements and applying robust optimisation problem over the possible probabilities using sum of squares decomposition. We relate the network usage with the sending thresholds and propose an iterative procedure for the design of those thresholds, minimising the network usage while guaranteeing a prescribed estimation performance. Simulation results and experimental analysis show the validity of the proposal and the reduction of network resources that can be achieved with the stochastic approach. Journal: International Journal of Systems Science Pages: 283-299 Issue: 2 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1068881 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1068881 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:2:p:283-299 Template-Type: ReDIF-Article 1.0 Author-Name: Imran Ghous Author-X-Name-First: Imran Author-X-Name-Last: Ghous Author-Name: Zhengrong Xiang Author-X-Name-First: Zhengrong Author-X-Name-Last: Xiang Title: control of a class of 2-D continuous switched delayed systems via state-dependent switching Abstract: This paper addresses the problem of state feedback H∞ stabilisation of 2-D (two-dimensional) continuous switched state delayed systems represented by the Roesser model using the multiple Lyapunov functional approach. First, an asymptotical stability condition of 2-D continuous switched systems with state-dependent switching is derived. Second, a sufficient condition for H∞ performance of the underlying system is established. Third, a state feedback controller is proposed to ensure that the resulting closed-loop system has a prescribed H∞ performance level under a state-dependent switching signal. All the results are developed in terms of linear matrix inequalities. Finally, three examples are provided to demonstrate the validity and effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 300-313 Issue: 2 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1068882 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1068882 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:2:p:300-313 Template-Type: ReDIF-Article 1.0 Author-Name: Wancheng Zhang Author-X-Name-First: Wancheng Author-X-Name-Last: Zhang Author-Name: Yejun Xu Author-X-Name-First: Yejun Author-X-Name-Last: Xu Author-Name: Huimin Wang Author-X-Name-First: Huimin Author-X-Name-Last: Wang Title: A consensus reaching model for 2-tuple linguistic multiple attribute group decision making with incomplete weight information Abstract: The aim of this paper is to put forward a consensus reaching method for multi-attribute group decision-making (MAGDM) problems with linguistic information, in which the weight information of experts and attributes is unknown. First, some basic concepts and operational laws of 2-tuple linguistic label are introduced. Then, a grey relational analysis method and a maximising deviation method are proposed to calculate the incomplete weight information of experts and attributes respectively. To eliminate the conflict in the group, a weight-updating model is employed to derive the weights of experts based on their contribution to the consensus reaching process. After conflict elimination, the final group preference can be obtained which will give the ranking of the alternatives. The model can effectively avoid information distortion which is occurred regularly in the linguistic information processing. Finally, an illustrative example is given to illustrate the application of the proposed method and comparative analysis with the existing methods are offered to show the advantages of the proposed method. Journal: International Journal of Systems Science Pages: 389-405 Issue: 2 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1074761 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1074761 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:2:p:389-405 Template-Type: ReDIF-Article 1.0 Author-Name: Lei Chen Author-X-Name-First: Lei Author-X-Name-Last: Chen Author-Name: Mohamed S. Kamel Author-X-Name-First: Mohamed S. Author-X-Name-Last: Kamel Title: MSEBAG: a dynamic classifier ensemble generation based on ‘minimum-sufficient ensemble' and bagging Abstract: In this paper, we propose a dynamic classifier system, MSEBAG, which is characterised by searching for the ‘minimum-sufficient ensemble’ and bagging at the ensemble level. It adopts an ‘over-generation and selection’ strategy and aims to achieve a good bias–variance trade-off. In the training phase, MSEBAG first searches for the ‘minimum-sufficient ensemble’, which maximises the in-sample fitness with the minimal number of base classifiers. Then, starting from the ‘minimum-sufficient ensemble’, a backward stepwise algorithm is employed to generate a collection of ensembles. The objective is to create a collection of ensembles with a descending fitness on the data, as well as a descending complexity in the structure. MSEBAG dynamically selects the ensembles from the collection for the decision aggregation. The extended adaptive aggregation (EAA) approach, a bagging-style algorithm performed at the ensemble level, is employed for this task. EAA searches for the competent ensembles using a score function, which takes into consideration both the in-sample fitness and the confidence of the statistical inference, and averages the decisions of the selected ensembles to label the test pattern. The experimental results show that the proposed MSEBAG outperforms the benchmarks on average. Journal: International Journal of Systems Science Pages: 406-419 Issue: 2 Volume: 47 Year: 2016 Month: 1 X-DOI: 10.1080/00207721.2015.1074762 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1074762 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:2:p:406-419 Template-Type: ReDIF-Article 1.0 Author-Name: Eva Navarro-López Author-X-Name-First: Eva Author-X-Name-Last: Navarro-López Author-Name: Rebekah Carter Author-X-Name-First: Rebekah Author-X-Name-Last: Carter Title: Hybrid automata: an insight into the discrete abstraction of discontinuous systems Abstract: We develop a novel computational–dynamical framework for the modelling of a class of discontinuous dynamical systems (DDSs). In particular, what is referred to as the DDS hybrid automaton with inputs and outputs is proposed. This is a general hybrid automaton that provides a suitable mathematical model for DDSs with discontinuous state derivatives and sliding motions. The chief characteristic of this model is that, following the computational divide-and-conquer principle, a system with multiple discontinuous elements can be represented by the composition of several DDS hybrid automata. Although discontinuous, non-smooth or switched dynamical systems have been well-investigated within different frameworks, it is still a challenge to give satisfactory solutions for specifying the transitions between the different modes of operation of these systems. We propose a new way of solving this problem, which is especially effective for systems with multiple switching elements. An example is used to illustrate these ideas. Several simulations are presented. The simulations results are obtained with Stateflow® and Modelica®. Journal: International Journal of Systems Science Pages: 1883-1898 Issue: 11 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.495189 File-URL: http://hdl.handle.net/10.1080/00207721.2010.495189 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:11:p:1883-1898 Template-Type: ReDIF-Article 1.0 Author-Name: Michael Defoort Author-X-Name-First: Michael Author-X-Name-Last: Defoort Author-Name: Mohamed Djemai Author-X-Name-First: Mohamed Author-X-Name-Last: Djemai Author-Name: Thierry Floquet Author-X-Name-First: Thierry Author-X-Name-Last: Floquet Author-Name: Wilfrid Perruquetti Author-X-Name-First: Wilfrid Author-X-Name-Last: Perruquetti Title: Robust finite time observer design for multicellular converters Abstract: In this article, a nonlinear finite time observer is designed for multicellular converters. The aim is to estimate the capacitor voltages by taking into account the hybrid behaviour of the converter. This article extends the validity of the strong Lyapunov function, proposed in Moreno and Osorio (Moreno, J., and Osorio, M. (2008), ‘A Lyapunov Approach to Second Order Sliding Mode Controllers and Observers’, in Proceedings of the IEEE Conference on Decision and Control, New Orleans, USA, pp. 2856–2861), in order to deeply study the reaching time estimation and robustness of the homogeneous finite time observer given in Perruquetti et al. (Perruquetti, W., Floquet, T., and Moulay, E. (2008), ‘Finite Time Observers: Application to Secure Communication’, IEEE Transactions on Automatic Control, 53, 356–360). The proposed approach enables the stabilisation of the observation errors in spite of the presence of perturbations and uncertainties. Some simulations and comparisons with the super-twisting sliding mode observer highlight the efficiency of the proposed strategy. Journal: International Journal of Systems Science Pages: 1859-1868 Issue: 11 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.543494 File-URL: http://hdl.handle.net/10.1080/00207721.2010.543494 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:11:p:1859-1868 Template-Type: ReDIF-Article 1.0 Author-Name: Michael Basin Author-X-Name-First: Michael Author-X-Name-Last: Basin Author-Name: Alexander Loukianov Author-X-Name-First: Alexander Author-X-Name-Last: Loukianov Author-Name: Rocío Hernández-Fabián Author-X-Name-First: Rocío Author-X-Name-Last: Hernández-Fabián Title: An optimal sliding mode-like regulator for nonlinear polynomial systems Abstract: This article presents the optimal control problem for a nonlinear polynomial system with respect to a Bolza–Meyer criterion with non-quadratic state energy terms. A distinctive feature of the obtained result is that a part of the optimally controlled state trajectory occurs to be in a sliding mode, i.e. represents a motion along a certain manifold. The optimal solution is obtained as a sliding mode-like control, whereas the conventional linear feedback control fails to provide a causal solution. Performance of the obtained optimal controller is verified in the illustrative example against the conventional polynomial-quadratic regulator that is optimal for the quadratic Bolza–Meyer criterion. The simulation results confirm an advantage in favour of the designed sliding mode control. Journal: International Journal of Systems Science Pages: 1909-1916 Issue: 11 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.545491 File-URL: http://hdl.handle.net/10.1080/00207721.2010.545491 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:11:p:1909-1916 Template-Type: ReDIF-Article 1.0 Author-Name: M. Djemaï Author-X-Name-First: M. Author-X-Name-Last: Djemaï Author-Name: K. Busawon Author-X-Name-First: K. Author-X-Name-Last: Busawon Author-Name: K. Benmansour Author-X-Name-First: K. Author-X-Name-Last: Benmansour Author-Name: A. Marouf Author-X-Name-First: A. Author-X-Name-Last: Marouf Title: High-order sliding mode control of a DC motor drive via a switched controlled multi-cellular converter Abstract: In this article, we present a high-order sliding mode controller of a DC motor drive connected to a multi-cellular converter. More specifically, we design a second-order (super-twisting) control algorithm for the speed regulation of a DC motor. For this, a switching control for the multi-cellular converter is derived in order to supply the correct reference value for the speed regulation. A practical implementation of the controller is realised using a laboratory set-up. The performance and the validity of the controller are shown experimentally. Journal: International Journal of Systems Science Pages: 1869-1882 Issue: 11 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.545492 File-URL: http://hdl.handle.net/10.1080/00207721.2010.545492 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:11:p:1869-1882 Template-Type: ReDIF-Article 1.0 Author-Name: Marco Angulo Author-X-Name-First: Marco Author-X-Name-Last: Angulo Author-Name: Leonid Fridman Author-X-Name-First: Leonid Author-X-Name-Last: Fridman Author-Name: Arie Levant Author-X-Name-First: Arie Author-X-Name-Last: Levant Title: Robust exact finite-time output based control using high-order sliding modes Abstract: Linear time-invariant systems with matched perturbations are exactly stabilised in finite time by means of dynamic output-feedback control under the assumptions of a permanent complete vector relative degree and bounded perturbations. The approach makes use of non-homogeneous high-order sliding-mode controllers and differentiators. A criterion of the differentiator convergence is developed for the detection of a proper time of turning on the controller. A gain adaptation strategy is proposed for both controller and differentiator. The performance with noisy discrete sampling is studied. Journal: International Journal of Systems Science Pages: 1847-1857 Issue: 11 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.564676 File-URL: http://hdl.handle.net/10.1080/00207721.2011.564676 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:11:p:1847-1857 Template-Type: ReDIF-Article 1.0 Author-Name: Vadim Azhmyakov Author-X-Name-First: Vadim Author-X-Name-Last: Azhmyakov Author-Name: Marco Angulo Author-X-Name-First: Marco Author-X-Name-Last: Angulo Title: Applications of the strong approximability property to a class of affine switched systems and to relaxed differential equations with affine structure Abstract: This article deals with applications of the newly elaborated fundamental continuity property to a class of affine switched systems and to some differential equations with discontinuous right-hand sides. We study conventional, switched and relaxed controllable dynamical models described by nonlinear ordinary differential equations that are affine in the input. The special structure of these systems makes it possible to prove the strong approximability property that can provide a useful tool for some specific robustness results. The mathematical approach based on the nonlinear and set-valued analysis, allows to consider the controllable dynamics in an abstract setting and to obtain some general theoretical results. The latter can be effectively applied to a wide classes of switched control systems and to differential inclusions with affine structure. Journal: International Journal of Systems Science Pages: 1899-1907 Issue: 11 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.570879 File-URL: http://hdl.handle.net/10.1080/00207721.2011.570879 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:11:p:1899-1907 Template-Type: ReDIF-Article 1.0 Author-Name: Leonid Fridman Author-X-Name-First: Leonid Author-X-Name-Last: Fridman Author-Name: Jorge Davila Author-X-Name-First: Jorge Author-X-Name-Last: Davila Author-Name: Arie Levant Author-X-Name-First: Arie Author-X-Name-Last: Levant Title: Variable structure methods for hybrid systems Journal: International Journal of Systems Science Pages: 1843-1845 Issue: 11 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.606984 File-URL: http://hdl.handle.net/10.1080/00207721.2011.606984 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:11:p:1843-1845 Template-Type: ReDIF-Article 1.0 Author-Name: Yunfei Mu Author-X-Name-First: Yunfei Author-X-Name-Last: Mu Author-Name: Huaguang Zhang Author-X-Name-First: Huaguang Author-X-Name-Last: Zhang Author-Name: Jiayue Sun Author-X-Name-First: Jiayue Author-X-Name-Last: Sun Author-Name: Junchao Ren Author-X-Name-First: Junchao Author-X-Name-Last: Ren Title: Proportional plus derivative state feedback controller design for a class of fuzzy descriptor systems Abstract: This study focuses on the proportional plus derivative state feedback (PDSF) control problem for continuous-time nonlinear descriptor systems described by Takagi–Sugeno fuzzy models with distinct fuzzy rules appearing in both sides of the considered system. Without using any additional transformations, some new conditions are developed by means of the free-weighting matrix technique and presented in terms of linear matrix inequalities to ensure that the resultant closed-loop system is normal and stable. Explicit expression of the desired PDSF controller is also given. Furthermore, the obtained result is extended to a class of uncertain nonlinear descriptor systems with norm-bounded perturbations. Finally, three examples are presented to show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2249-2260 Issue: 12 Volume: 50 Year: 2019 Month: 9 X-DOI: 10.1080/00207721.2019.1648707 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1648707 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:12:p:2249-2260 Template-Type: ReDIF-Article 1.0 Author-Name: Shuhuan Wen Author-X-Name-First: Shuhuan Author-X-Name-Last: Wen Author-Name: Di Zhang Author-X-Name-First: Di Author-X-Name-Last: Zhang Author-Name: Baowei Zhang Author-X-Name-First: Baowei Author-X-Name-Last: Zhang Author-Name: Hak Keung Lam Author-X-Name-First: Hak Keung Author-X-Name-Last: Lam Author-Name: Hongbin Wang Author-X-Name-First: Hongbin Author-X-Name-Last: Wang Author-Name: Yongsheng Zhao Author-X-Name-First: Yongsheng Author-X-Name-Last: Zhao Title: Two-degree-of-freedom internal model position control and fuzzy fractional force control of nonlinear parallel robot Abstract: The paper proposes a novel method for the nonlinear redundantly actuated parallel robot based on force/position hybrid control structure. In order to solve the limitation of making a compromise for internal model controller, a two-DOF fractional order internal model control algorithm combining the internal model control principle and the fractional order theory is proposed for the position branch of the parallel robot redundantly actuated. This algorithm can realise the adjustment of the dynamic performance and anti-interference of 6PUS-UPU respectively. Aiming at the big force control error fractional order internal model, fuzzy control theory and the fractional order internal model controller are integrated into a new controller-fuzzy fractional order internal model(FFOIM) force control algorithm. Then Admas/Matlab simulation results demonstrate that the proposed algorithm can further reduce the driving force error of the system, and also retain the strong anti-interference of fractional order internal model controller. Journal: International Journal of Systems Science Pages: 2261-2279 Issue: 12 Volume: 50 Year: 2019 Month: 9 X-DOI: 10.1080/00207721.2019.1654006 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1654006 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:12:p:2261-2279 Template-Type: ReDIF-Article 1.0 Author-Name: Yongfang Nie Author-X-Name-First: Yongfang Author-X-Name-Last: Nie Author-Name: Tao Zhang Author-X-Name-First: Tao Author-X-Name-Last: Zhang Author-Name: Qianxia Ma Author-X-Name-First: Qianxia Author-X-Name-Last: Ma Title: A new perspective on Gaussian sigma-point Kalman filters Abstract: There are a variety of Gaussian sigma-point Kalman filters (GSPKF) existing in the literature which are based on different quadrature rules. Their performances are always compared with each other on accuracy and robustness from the numerical-integration perspective, where the number of the sigma points and their corresponding weights are the main reasons resulting in the different accuracy. A new perspective on the GSPKF is proposed in this paper, which is the Mahalanobis distance ellipsoid (MDE). From the MDE perspective, GSPKFs differ from each other on accuracy and robustness mainly because they enclose different probability concentrations. This characteristic is evident when using the high-degree GSPKFs to filter the low-dimensional nonlinear systems. Two classical nonlinear system examples are used to demonstrate the proposed point of this paper. Moreover, some suggestions are given on how to select an appropriate GSPKF for a given nonlinear system. Journal: International Journal of Systems Science Pages: 2280-2291 Issue: 12 Volume: 50 Year: 2019 Month: 9 X-DOI: 10.1080/00207721.2019.1654007 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1654007 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:12:p:2280-2291 Template-Type: ReDIF-Article 1.0 Author-Name: Zhi-Yong Feng Author-X-Name-First: Zhi-Yong Author-X-Name-Last: Feng Author-Name: Jinhua She Author-X-Name-First: Jinhua Author-X-Name-Last: She Author-Name: Li Xu Author-X-Name-First: Li Author-X-Name-Last: Xu Title: A brief review and insights into matrix inequalities for H∞ static-output-feedback control and a local optimal solution Abstract: This paper first gives a brief review of four kinds of matrix inequalities and two open problems about $H_\infty $H∞ static-output-feedback (SOF) control of continuous-time systems. Then, by clarifying the relationships among those matrix inequalities, the two open problems are proved to be essentially equivalent to a problem of choosing a coordinate transformation matrix (CTM). A new two-step optimisation method is established to solve this open problem. In the first step, a cone complementarity linearisation (CCL) method is utilised to solve the SOF-stabilisation problem so as to obtain a proper initial CTM. In the second step, a T-K iteration strategy is developed to optimise the choice of the CTM to locally solve the optimal continuous-time $H_\infty $H∞ SOF control problem. Numerical examples are given to demonstrate the effectiveness and benefits of the proposed method. Journal: International Journal of Systems Science Pages: 2292-2305 Issue: 12 Volume: 50 Year: 2019 Month: 9 X-DOI: 10.1080/00207721.2019.1654008 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1654008 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:12:p:2292-2305 Template-Type: ReDIF-Article 1.0 Author-Name: Long Zhang Author-X-Name-First: Long Author-X-Name-Last: Zhang Author-Name: Ge Guo Author-X-Name-First: Ge Author-X-Name-Last: Guo Title: Control of a group of systems whose communication channels are assigned by a semi-Markov process Abstract: This technical note is concerned with the problem of medium access constraint for a group of networked systems. The scheduling of each subsystem is defined by a stochastic protocol, which can be modelled by a semi-Makov chain with a time-varying transition probability matrix. The resulting closed-loop nonlinear systems are a semi-Markovian jump system with delay. Sufficient conditions for exponential mean-square stability of the resulting closed-loop systems are derived via a Lyapunov–Krasovskii method. Based on the stability criterion, the controller gain of each subsystem is designed. A simulation example is used to demonstrate the effectiveness of proposed method. Journal: International Journal of Systems Science Pages: 2306-2315 Issue: 12 Volume: 50 Year: 2019 Month: 9 X-DOI: 10.1080/00207721.2019.1654009 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1654009 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:12:p:2306-2315 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaojun Ban Author-X-Name-First: Xiaojun Author-X-Name-Last: Ban Author-Name: Liwei Ren Author-X-Name-First: Liwei Author-X-Name-Last: Ren Author-Name: Zhibin Yan Author-X-Name-First: Zhibin Author-X-Name-Last: Yan Author-Name: Hao Ying Author-X-Name-First: Hao Author-X-Name-Last: Ying Title: Perfect tracking control of discrete-time quadratic TS fuzzy systems via feedback linearisation Abstract: Perfect tracking control is an important and frequently encountered requirement in various industries (e.g. robotic control). We developed a novel systematic framework for designing a fuzzy controller via feedback linearisation to control a class of discrete-time Takagi–Sugeno (TS) fuzzy systems with quadratic rule consequents to achieve such tracking. We established a necessary condition for its local stability and a necessary and sufficient condition for the boundedness of the controller. The feedback linearisation is known to fail to work in certain systems due to the unboundedness of the tracking controller output. To address this issue, we developed a method to check whether any given quadratic TS fuzzy system will cause such a failure. We developed a scheme to ensure that the output of the controller designed for any failure-causing system will be bounded and the resulting controller will attain nearly perfect tracking performance. Applying feedback linearisation to the quadratic fuzzy systems is innovative relative to the literature exclusively dealing with the TS fuzzy systems with linear rule consequents (including our previous results), which are now generalised by the new findings. Two numerical examples are provided to illustrate the effectiveness and utility of our new theoretical results. Journal: International Journal of Systems Science Pages: 2316-2332 Issue: 12 Volume: 50 Year: 2019 Month: 9 X-DOI: 10.1080/00207721.2019.1655601 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1655601 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:12:p:2316-2332 Template-Type: ReDIF-Article 1.0 Author-Name: Mingjun Du Author-X-Name-First: Mingjun Author-X-Name-Last: Du Author-Name: Baoli Ma Author-X-Name-First: Baoli Author-X-Name-Last: Ma Author-Name: Deyuan Meng Author-X-Name-First: Deyuan Author-X-Name-Last: Meng Title: Algebraic criteria for structure identification and behaviour analysis of signed networks Abstract: This paper deals with the problem on how to algebraically identify structure properties and characterise dynamic behaviours of signed networks with cooperative and antagonistic interactions. A signed digraph is employed to represent the two competitive classes of interactions, and an algebraic criterion based on the determinant of its Laplacian matrix is exploited to examine whether it is r-structurally balanced or unbalanced. Given the r-structural balance condition, an indicator vector is constructed to calculate the steady states of signed networks. This vector particularly helps to distinguish rooted nodes and non-rooted nodes from all nodes of signed digraphs, determine the connectivity of signed digraphs and develop algebraic criteria for weight balance and sign-average consensus of signed networks. Further, an algorithm via algebraic manipulations is proposed to identify the structural balance and unbalance of signed digraphs, which contributes to achieving behaviour analysis of signed networks. Simulations are included to illustrate validity of the proposed algebraic criteria. Journal: International Journal of Systems Science Pages: 2333-2347 Issue: 12 Volume: 50 Year: 2019 Month: 9 X-DOI: 10.1080/00207721.2019.1655602 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1655602 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:12:p:2333-2347 Template-Type: ReDIF-Article 1.0 Author-Name: Maxence Blond Author-X-Name-First: Maxence Author-X-Name-Last: Blond Author-Name: Daniel Simon Author-X-Name-First: Daniel Author-X-Name-Last: Simon Author-Name: Vincent Creuze Author-X-Name-First: Vincent Author-X-Name-Last: Creuze Author-Name: Olivier Tempier Author-X-Name-First: Olivier Author-X-Name-Last: Tempier Title: Optimal thrusters steering for dynamically reconfigurable underwater vehicles Abstract: When using a Remotely Operated Vehicle (ROV), on-the-fly reconfiguration of the thrusters orientations allows to adjust its propulsion and manoeuvrability capabilities according to the mission progress. To optimise the actuation, the interaction between thrusters due to cross-flows is modelled and included in the thrust related objective function to be maximised. Run-time effective solutions use a sparse look-up table to initialise a fast direct-search local optimisation algorithm. The found thrusters steering configurations show higher thrust gains compared with the traditional fixed ‘vectored’ configuration of currently available ROVs. Journal: International Journal of Systems Science Pages: 2348-2361 Issue: 12 Volume: 50 Year: 2019 Month: 9 X-DOI: 10.1080/00207721.2019.1655603 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1655603 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:12:p:2348-2361 Template-Type: ReDIF-Article 1.0 Author-Name: Yaonan Shan Author-X-Name-First: Yaonan Author-X-Name-Last: Shan Author-Name: Kun She Author-X-Name-First: Kun Author-X-Name-Last: She Author-Name: Shouming Zhong Author-X-Name-First: Shouming Author-X-Name-Last: Zhong Author-Name: Jun Cheng Author-X-Name-First: Jun Author-X-Name-Last: Cheng Author-Name: Can Zhao Author-X-Name-First: Can Author-X-Name-Last: Zhao Author-Name: Qianhua Fu Author-X-Name-First: Qianhua Author-X-Name-Last: Fu Title: Finite-time boundedness of state estimation for semi-Markovian jump systems with distributed leakage delay and linear fractional uncertainties Abstract: In this paper, the problem of finite-time bounded control for uncertain semi-Markovian jump neural networks with mixed delays which include distributed leakage delay (DLD) and mixed time-varying delays is considered. The system not only contains semi-Markovian jump, linear fractional uncertainties (LFUs), mixed time-varying delays but also includes distributed time delays in the leakage term which is not yet investigated in existing papers. Firstly, uncertainty parameters in the systems are solved by LFU based on the new model. Secondly, a novel augmented Lyapunov–Krasovskii functional (LKF) which involves more information about time-varying delays is constructed. Moreover, latest integral inequalities and time-delays division method are used to estimate the derivative of proposed LKFs. Thirdly, in the framework of uncertainty, semi-Markovian jump, DLD, mixed delays and external disturbance, a full-order state estimator is constructed such that the error dynamic system is finite-time bounded under the condition of given linear matrix inequalities. Finally, usefulness and advantages of the obtained results are verified by three numerical examples. Journal: International Journal of Systems Science Pages: 2362-2384 Issue: 12 Volume: 50 Year: 2019 Month: 9 X-DOI: 10.1080/00207721.2019.1656297 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1656297 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:12:p:2362-2384 Template-Type: ReDIF-Article 1.0 Author-Name: Hao Sun Author-X-Name-First: Hao Author-X-Name-Last: Sun Author-Name: Qinglin Sun Author-X-Name-First: Qinglin Author-X-Name-Last: Sun Author-Name: Wannan Wu Author-X-Name-First: Wannan Author-X-Name-Last: Wu Author-Name: Shuzhen Luo Author-X-Name-First: Shuzhen Author-X-Name-Last: Luo Author-Name: Jin Tao Author-X-Name-First: Jin Author-X-Name-Last: Tao Title: Flexible modelling and altitude control for powered parafoil system based on active disturbance rejection control Abstract: For the accurate altitude control of the powered parafoil system, a novel modelling method and control methodology are designed in this paper. Firstly, based on computational fluid dynamics, the proposed model can accurately simulate the actual flight state of the powered parafoil system. Then, the double closed-loop controller based on active disturbance rejection control is designed. With this methodology, the precise altitude control can be realised. By analysing the theory of active disturbance rejection control, the proposed control method will be stable and valid. At last, after the detailed verification in the hardware-in-the-loop simulations, the flight experiment is carried out. After the simulation with the proposed model, the adjusted controller parameters can be applied directly in the actual experiment. The results show that the proposed method can provide effective guidance to the flight experiment. It also proves the validity and effectiveness of the proposed modelling and control method. Journal: International Journal of Systems Science Pages: 2385-2408 Issue: 12 Volume: 50 Year: 2019 Month: 9 X-DOI: 10.1080/00207721.2019.1656786 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1656786 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:12:p:2385-2408 Template-Type: ReDIF-Article 1.0 Author-Name: Xiao Jian Author-X-Name-First: Xiao Author-X-Name-Last: Jian Author-Name: Yang Yehong Author-X-Name-First: Yang Author-X-Name-Last: Yehong Author-Name: Long Jushu Author-X-Name-First: Long Author-X-Name-Last: Jushu Title: Synchronisation of complex networks with derivative coupling via adaptive control Abstract: This article investigates the synchronisation of complex dynamic networks with derivative coupling and time-varying coupling delay. Based on Lyapunov stability theory, adaptive synchronisation criterion is obtained. The analytical results show that under the designed adaptive controllers, the complex networks with derivative coupling and time-varying coupling delay can realise synchronisation. Furthermore, the coupling matrix is not assumed to be symmetric or irreducible, and the weight configuration matrices can be identified. Numerical examples are provided to demonstrate the effectiveness of the theory. Journal: International Journal of Systems Science Pages: 2183-2189 Issue: 12 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.685201 File-URL: http://hdl.handle.net/10.1080/00207721.2012.685201 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:12:p:2183-2189 Template-Type: ReDIF-Article 1.0 Author-Name: Feng Yi-wei Author-X-Name-First: Feng Author-X-Name-Last: Yi-wei Author-Name: Ge Guo Author-X-Name-First: Ge Author-X-Name-Last: Guo Title: Optimal coding-decoding for systems controlled via a communication channel Abstract: In this article, we study the problem of controlling plants over a signal-to-noise ratio (SNR) constrained communication channel. Different from previous research, this article emphasises the importance of the actual channel model and coder/decoder in the study of network performance. Our major objectives include coder/decoder design for an additive white Gaussian noise (AWGN) channel with both standard network configuration and Youla parameter network architecture. We find that the optimal coder and decoder can be realised for different network configuration. The results are useful in determining the minimum channel capacity needed in order to stabilise plants over communication channels. The coder/decoder obtained can be used to analyse the effect of uncertainty on the channel capacity. An illustrative example is provided to show the effectiveness of the results. Journal: International Journal of Systems Science Pages: 2190-2198 Issue: 12 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.685202 File-URL: http://hdl.handle.net/10.1080/00207721.2012.685202 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:12:p:2190-2198 Template-Type: ReDIF-Article 1.0 Author-Name: Lei Wang Author-X-Name-First: Lei Author-X-Name-Last: Wang Author-Name: Qing-Guo Wang Author-X-Name-First: Qing-Guo Author-X-Name-Last: Wang Title: A general approach for synchronisation of nonlinear networked systems with switching topology Abstract: This article investigates synchronisation of a nonlinear networked system with switching topology. By defining a common synchronisation manifold for each possible switching topology, exponential synchronisation of a nonlinear networked system can be assessed by the exponential stability of a reduced nonlinear system corresponding to the concerned system, wherein the communication graph can be directed and weighted and the inner-linking matrix might be singular. In particular, a synchronisation criterion consisting of the self-dynamics of isolated nodes and the consensus dynamics of a linear switched system is given. Two numerical simulations of synchronisation are presented to illustrate the effectiveness of the analytical results for the periodic and random switching cases. Journal: International Journal of Systems Science Pages: 2199-2210 Issue: 12 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.685203 File-URL: http://hdl.handle.net/10.1080/00207721.2012.685203 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:12:p:2199-2210 Template-Type: ReDIF-Article 1.0 Author-Name: Xiao-Shan Lu Author-X-Name-First: Xiao-Shan Author-X-Name-Last: Lu Author-Name: Hai-Jun Huang Author-X-Name-First: Hai-Jun Author-X-Name-Last: Huang Author-Name: Jiancheng Long Author-X-Name-First: Jiancheng Author-X-Name-Last: Long Title: Camera location optimisation for traffic surveillance in urban road networks with multiple user classes Abstract: New sensor technologies (e.g. surveillance cameras, loop detectors) enable the synthesis of disaggregated vehicle information from multiple locations. This article studies the camera location problem for traffic surveillance in urban road networks with multiple user classes. All users are differentiated by their own acceptance degree of camera monitoring and make their route choices in a logit-based stochastic user equilibrium manner. A bi-level programming model is proposed to formulate the problem and solved by the sensitivity analysis based branch and bound method. Numerical examples are presented to illustrate the model application and show the effectiveness of the solution method. Journal: International Journal of Systems Science Pages: 2211-2222 Issue: 12 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.685776 File-URL: http://hdl.handle.net/10.1080/00207721.2012.685776 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:12:p:2211-2222 Template-Type: ReDIF-Article 1.0 Author-Name: Zhan Su Author-X-Name-First: Zhan Author-X-Name-Last: Su Author-Name: Qingling Zhang Author-X-Name-First: Qingling Author-X-Name-Last: Zhang Author-Name: Jun Ai Author-X-Name-First: Jun Author-X-Name-Last: Ai Title: Practical and finite-time fuzzy adaptive control for nonlinear descriptor systems with uncertainties of unknown bound Abstract: This article studies the practical stability (PS) and finite-time stability (FTS) for fuzzy descriptor systems with uncertainties of unknown bound. For such nonlinear descriptor systems, novel sufficient conditions of PS and FTS are established. When the descriptor systems follow the proposed theorems, PS and FTS can be obtained alternatively. Meanwhile, with linear matrix inequalities used, we devise practical and finite-time adaptive controllers for fuzzy descriptor systems, partially based on the parallel-distributed compensation (PDC) and non-PDC. Furthermore, numerical examples on feasible region and controllers applied to inverted pendulum model are presented to confirm the efficiency of the proposed approach. Journal: International Journal of Systems Science Pages: 2223-2233 Issue: 12 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.687784 File-URL: http://hdl.handle.net/10.1080/00207721.2012.687784 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:12:p:2223-2233 Template-Type: ReDIF-Article 1.0 Author-Name: Samir Khan Author-X-Name-First: Samir Author-X-Name-Last: Khan Author-Name: Roger Goodall Author-X-Name-First: Roger Author-X-Name-Last: Goodall Author-Name: Roger Dixon Author-X-Name-First: Roger Author-X-Name-Last: Dixon Title: Non-uniform sampling strategies for digital control Abstract: Most conventional control algorithms cause numerical problems where data is collected at sampling rates that are substantially higher than the dynamics of the equivalent continuous-time operation that is being implemented. This is of relevant interest in applications of digital control, in which high sample rates are routinely dictated by the system stability requirements rather than the signal processing needs. Digital control systems exhibit bandwidth limitations enforced by their closed-loop frequency requirements that demand very high sample rates. Considerable recent progress in reducing sample frequency requirements has been made through the use of non-uniform sampling schemes, so called alias-free signal processing. The approach prompts the simplification of complex systems and consequently enhances the numerical conditioning of the implementation algorithms that otherwise would require very high uniform sample rates. However, the control communities have not yet investigated the use of intentional non-uniform sampling. The purpose of this article is to address some algorithmic issues when using such regimes for digital control. Journal: International Journal of Systems Science Pages: 2234-2254 Issue: 12 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.687785 File-URL: http://hdl.handle.net/10.1080/00207721.2012.687785 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:12:p:2234-2254 Template-Type: ReDIF-Article 1.0 Author-Name: Jinyong Yu Author-X-Name-First: Jinyong Author-X-Name-Last: Yu Author-Name: Fangzhou Liu Author-X-Name-First: Fangzhou Author-X-Name-Last: Liu Author-Name: Xiaoxi Yu Author-X-Name-First: Xiaoxi Author-X-Name-Last: Yu Author-Name: Chunfeng Wu Author-X-Name-First: Chunfeng Author-X-Name-Last: Wu Author-Name: Ligang Wu Author-X-Name-First: Ligang Author-X-Name-Last: Wu Title: Fault detection of discrete-time switched systems with distributed delays: input–output approach Abstract: This article is concerned with the ℋ∞ fault detection of discrete-time switched systems with distributed delays. By using the input–output approach combining with the small-scale gain theorem, a sufficient condition is established in terms of linear matrix inequality, which guarantees the fault detection system to be exponentially stable with an ℋ∞ performance. Then, a solvability condition for the desired fault detection filter is also proposed. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed theory. Journal: International Journal of Systems Science Pages: 2255-2272 Issue: 12 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.687786 File-URL: http://hdl.handle.net/10.1080/00207721.2012.687786 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:12:p:2255-2272 Template-Type: ReDIF-Article 1.0 Author-Name: Qinglei Hu Author-X-Name-First: Qinglei Author-X-Name-Last: Hu Author-Name: Bing Xiao Author-X-Name-First: Bing Author-X-Name-Last: Xiao Title: Adaptive fault tolerant control using integral sliding mode strategy with application to flexible spacecraft Abstract: Adaptive-based integral sliding mode control scheme is developed to solve the actuator fault-tolerant compensation problem for linear time-invariant system in the presence of unknown actuator faults and external disturbances. A nonlinear integral-type sliding manifold is first presented that incorporates a virtual nominal control to achieve prescribed specifications of the perturbed system, and an adaptive sliding mode controller is constructed to automatically compensate for external disturbances and unknown time-invariant faults. It is shown that the proposed controller has the capability to guarantee that the resulting closed-loop system is asymptotically stable. Control design methodology is then extended to tackle with the unknown time-varying actuator faults. It is proved that any given level of gain attenuation from external disturbance/parametric estimation error to system output is achieved with the developed control law. The closed-loop performance of the new control solution derived here is evaluated extensively through numerical simulations in which the flexible spacecraft attitude control under both the external disturbances and actuator faults are considered. Journal: International Journal of Systems Science Pages: 2273-2286 Issue: 12 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.702236 File-URL: http://hdl.handle.net/10.1080/00207721.2012.702236 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:12:p:2273-2286 Template-Type: ReDIF-Article 1.0 Author-Name: Omid Monfared Author-X-Name-First: Omid Author-X-Name-Last: Monfared Author-Name: Alireza Khayatian Author-X-Name-First: Alireza Author-X-Name-Last: Khayatian Author-Name: Mojtaba Mahzoon Author-X-Name-First: Mojtaba Author-X-Name-Last: Mahzoon Author-Name: Paknosh Karimaghaee Author-X-Name-First: Paknosh Author-X-Name-Last: Karimaghaee Title: Immersion and invariance adaptive control of a class of nonlinear systems with unknown control direction Abstract: The goal of this article is to extend the adaptive control problem of parametric strict feedback form nonlinear systems, using immersion and invariance to the case of unknown, possibly, time-varying control direction. The idea is to immerse a target system in ℝn−1, which is stabilised through the design of virtual controllers, into an extended system in ℝn+p. The designed controller takes advantage of the well-known Nussbaum functions to deal with the unknown sign of input multiplier and is designed through the manifold dynamics belonging to ℝp+1. The effectiveness of the proposed method is shown through a simulation example and is also compared to the classical adaptive backstepping approach with an unknown control direction. Journal: International Journal of Systems Science Pages: 2287-2294 Issue: 12 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.702238 File-URL: http://hdl.handle.net/10.1080/00207721.2012.702238 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:12:p:2287-2294 Template-Type: ReDIF-Article 1.0 Author-Name: Mou Chen Author-X-Name-First: Mou Author-X-Name-Last: Chen Author-Name: Bin Jiang Author-X-Name-First: Bin Author-X-Name-Last: Jiang Title: Adaptive control and constrained control allocation for overactuated ocean surface vessels Abstract: In this article, the constrained control allocation is proposed for overactuated ocean surface vessels with parametric uncertainties and unknown external disturbances. The constrained control allocation is transformed into a convex quadratic programming problem and a recurrent neural network is employed to solve it. To complete the control allocation, the control command is derived via the backstepping method. Adaptive tracking control is proposed for the full-state feedback case using the backstepping technique and the Lyapunov synthesis. It is proved that the proposed adaptive tracking control is able to guarantee semi-global uniform ultimate boundedness of all signals in the closed-loop system. Then, the obtained control command is distributed to each actuator of overactuated ocean vessels. Finally, simulation studies are presented to illustrate the effectiveness of the proposed adaptive tracking control and the constrained control allocation scheme. Journal: International Journal of Systems Science Pages: 2295-2309 Issue: 12 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.702239 File-URL: http://hdl.handle.net/10.1080/00207721.2012.702239 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:12:p:2295-2309 Template-Type: ReDIF-Article 1.0 Author-Name: Heng Wang Author-X-Name-First: Heng Author-X-Name-Last: Wang Author-Name: He-Hua Ju Author-X-Name-First: He-Hua Author-X-Name-Last: Ju Title: Reliable ℋ filtering for LPV systems with sensor faults in finite frequency domain Abstract: This article deals with the reliable ℋ∞ filtering problem for linear parameter varying continuous-time systems with bounded disturbances and sensor faults. Different from existing approaches, a parameter-dependent filter is designed in finite frequency range, which is important in practice since full frequency approaches are conservative to some extent for the case when frequency ranges of disturbances are known beforehand. With the aid of Generalised Kalman–Yakubovich–Popov lemma, the filter design problem is formulated into solving a set of linear matrix inequalities problem. A numerical example is given to illustrate the effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 2310-2320 Issue: 12 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.702240 File-URL: http://hdl.handle.net/10.1080/00207721.2012.702240 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:12:p:2310-2320 Template-Type: ReDIF-Article 1.0 Author-Name: Shinn-Horng Chen Author-X-Name-First: Shinn-Horng Author-X-Name-Last: Chen Author-Name: Fu-I Chou Author-X-Name-First: Fu-I Author-X-Name-Last: Chou Author-Name: Jyh-Horng Chou Author-X-Name-First: Jyh-Horng Author-X-Name-Last: Chou Title: Robust controllability of linear interval systems with multiple control delays Abstract: The robust controllability problem for linear interval systems with multiple control delays is studied in this article. The rank preservation problem is converted to the nonsingularity analysis problem of the minors of the matrix in discussion. Based on some essential properties of matrix measures, a new sufficient algebraically elegant criterion for the robust controllability of linear interval systems with multiple control delays is established. A numerical example is given to illustrate the application of the proposed sufficient algebraic criterion. Journal: International Journal of Systems Science Pages: 2321-2327 Issue: 12 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.702241 File-URL: http://hdl.handle.net/10.1080/00207721.2012.702241 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:12:p:2321-2327 Template-Type: ReDIF-Article 1.0 Author-Name: Fang Jin Author-X-Name-First: Fang Author-X-Name-Last: Jin Author-Name: Guang-Rong Zhao Author-X-Name-First: Guang-Rong Author-X-Name-Last: Zhao Author-Name: Qing-Quan Liu Author-X-Name-First: Qing-Quan Author-X-Name-Last: Liu Title: Networked control of discrete-time linear systems over lossy digital communication channels Abstract: This article addresses networked control problems for linear time-invariant systems. The insertion of the digital communication network inevitably leads to packet dropout, time delay and quantisation error. Due to data rate limitations, quantisation error is not neglected. In particular, the case where the sensors and controllers are geographically separated and connected via noisy, bandwidth-limited digital communication channels is considered. A fundamental limitation on the data rate of the channel for mean-square stabilisation of the closed-loop system is established. Sufficient conditions for mean-square stabilisation are derived. It is shown that there exists a quantisation, coding and control scheme to stabilise the unstable system over packet dropout communication channels if the data rate is larger than the lower bound proposed in our result. An illustrative example is given to demonstrate the effectiveness of the proposed conditions. Journal: International Journal of Systems Science Pages: 2328-2337 Issue: 12 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.702242 File-URL: http://hdl.handle.net/10.1080/00207721.2012.702242 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:12:p:2328-2337 Template-Type: ReDIF-Article 1.0 Author-Name: Jun Huang Author-X-Name-First: Jun Author-X-Name-Last: Huang Author-Name: Peng Wang Author-X-Name-First: Peng Author-X-Name-Last: Wang Author-Name: Zhengzhi Han Author-X-Name-First: Zhengzhi Author-X-Name-Last: Han Author-Name: Xiushan Cai Author-X-Name-First: Xiushan Author-X-Name-Last: Cai Title: Observer design for the Lur'e differential inclusion system with Markovian jumping parameters Abstract: This article deals with the observer design for the Lur'e differential inclusion system with Markovian jumping parameters. The set-valued mapping in the system is assumed to be upper semi-continuous, closed, convex, bounded and monotone. The full-order and reduced-order observers are designed to make the corresponding error systems exponentially stable in the mean square, respectively. The criteria are given to guarantee the existence of both full-order and reduced-order observers. The rotor system is considered as an example to show the validity of the proposed method. Journal: International Journal of Systems Science Pages: 2338-2348 Issue: 12 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.702243 File-URL: http://hdl.handle.net/10.1080/00207721.2012.702243 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:12:p:2338-2348 Template-Type: ReDIF-Article 1.0 Author-Name: Jian Li Author-X-Name-First: Jian Author-X-Name-Last: Li Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Fault detection and isolation for discrete-time switched linear systems based on average dwell-time method Abstract: This article is concerned with the problem of fault detection and isolation (FDI) for discrete-time switched linear systems based on the average dwell-time method. The proposed FDI framework consists of a bank of FDI filters, which are divided into N groups for N subsystems. The FDI filters belonging to one group correspond to the faults for a subsystem, and generate a residual signal to guarantee the fault sensitivity performance for the subsystem, the fault attenuation performance for other subsystems and the disturbance attenuation performance for all subsystems. Different form employing the weighting matrices to restrict the frequency ranges of faults for each subsystem, the finite-frequency H− performance for switched systems is first defined. Sufficient conditions are established by linear matrix inequalities (LMIs), and the filter gains are characterised in terms of the solution of a convex optimisation problem. Two examples are used to demonstrate the effectiveness of the proposed design method. Journal: International Journal of Systems Science Pages: 2349-2364 Issue: 12 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.704091 File-URL: http://hdl.handle.net/10.1080/00207721.2012.704091 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:12:p:2349-2364 Template-Type: ReDIF-Article 1.0 Author-Name: Baoyu Huo Author-X-Name-First: Baoyu Author-X-Name-Last: Huo Author-Name: Shaocheng Tong Author-X-Name-First: Shaocheng Author-X-Name-Last: Tong Author-Name: Yongming Li Author-X-Name-First: Yongming Author-X-Name-Last: Li Title: Adaptive fuzzy fault-tolerant output feedback control of uncertain nonlinear systems with actuator faults Abstract: This article develops an adaptive fuzzy control method for accommodating actuator faults in a class of unknown nonlinear systems with unmeasured states. The considered faults are modelled as both loss of effectiveness and lock-in-place (stuck at unknown place). With the help of fuzzy logic systems to approximate the unknown nonlinear functions, a fuzzy adaptive observer is developed for estimating the unmeasured states. Combining the backstepping technique with the nonlinear tolerant-fault control theory, a novel adaptive fuzzy faults-tolerant control approach is constructed. It is proved that the proposed control approach can guarantee that all the signals of the resulting closed-loop system are bounded and the tracking error between the system output and the reference signal converges to a small neighbourhood of zero by appropriate choice of the design parameters. Simulation results are provided to show the effectiveness of the control approach. Journal: International Journal of Systems Science Pages: 2365-2376 Issue: 12 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.704092 File-URL: http://hdl.handle.net/10.1080/00207721.2012.704092 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:12:p:2365-2376 Template-Type: ReDIF-Article 1.0 Author-Name: Haiyang Yu Author-X-Name-First: Haiyang Author-X-Name-Last: Yu Author-Name: Yan Zhuang Author-X-Name-First: Yan Author-X-Name-Last: Zhuang Author-Name: Wei Wang Author-X-Name-First: Wei Author-X-Name-Last: Wang Title: Distributed filtering with consensus in sensor networks: a two-dimensional system-based approach Abstract: This article is concerned with the distributed H∞ filtering problem in sensor network, and a novel two-dimensional (2-D) system-based design approach is proposed. We aim to establish a two-step filter to simplify the design of the distributed filter parameters by means of a 2-D Roessor model, such that the filtering error dynamics is asymptotically stable and the prescribed average H∞ performance constraint is met. Consensus protocol is introduced as local information fusion strategy on nodes. In terms of certain linear matrix inequalities, sufficient conditions for the solvability of the addressed problem are obtained. Finally, a numerical example is provided to demonstrate the effectiveness and applicability of the proposed design approach. Journal: International Journal of Systems Science Pages: 1543-1557 Issue: 9 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.549595 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549595 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:9:p:1543-1557 Template-Type: ReDIF-Article 1.0 Author-Name: Jinling Liang Author-X-Name-First: Jinling Author-X-Name-Last: Liang Author-Name: Bo Shen Author-X-Name-First: Bo Author-X-Name-Last: Shen Author-Name: Hongli Dong Author-X-Name-First: Hongli Author-X-Name-Last: Dong Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Title: Robust distributed state estimation for sensor networks with multiple stochastic communication delays Abstract: This article is concerned with the robust distributed state estimation problem for a class of uncertain sensor networks with multiple stochastic communication delays. A sequence of mutually independent random variables obeying the Bernoulli distribution is introduced to account for the randomly occurred communication delays. Both the discrete-time target plant and the sensor model are subject to parameter uncertainties as well as stochastic disturbance. The parameter uncertainties are norm-bounded and enter both the system and the measurement matrices. The external stochastic disturbance is given in the form of a scalar Wiener process. Through available output measurements from not only each individual sensor but also its neighbouring sensors, we aim to design distributed state estimators in order to approximate the state of the target plant. By using the Kronecker product, stochastic analysis is carried out to derive a sufficient criterion ensuring the estimation error systems to be convergent in the mean square sense for all randomly occurred delays, admissible stochastic disturbance and parameter uncertainties. Then, an explicit expression of the individual estimator is given in terms of the solution to a convex optimisation problem that can be easily solved by using the semi-definite programme method. A numerical example is given at the end of this article to demonstrate the usefulness of the developed theoretical results. Journal: International Journal of Systems Science Pages: 1459-1471 Issue: 9 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.550402 File-URL: http://hdl.handle.net/10.1080/00207721.2010.550402 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:9:p:1459-1471 Template-Type: ReDIF-Article 1.0 Author-Name: Hongli Dong Author-X-Name-First: Hongli Author-X-Name-Last: Dong Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Author-Name: Huijun Gao Author-X-Name-First: Huijun Author-X-Name-Last: Gao Title: Distributed ℋ filtering for repeated scalar nonlinear systems with random packet losses in sensor networks Abstract: This article is concerned with the distributed ℋ∞ filtering problem for sensor networks with repeated scalar nonlinearities and multiple probabilistic packet losses. The class of nonlinear systems is represented by a discrete-time state-space model involving repeated scalar nonlinearities that cover several types of frequently investigated nonlinearities as special cases. A number of stochastic variables, all of which are mutually independent but satisfy a certain probabilistic distribution in the interval [0, 1], are introduced to account for the packet dropout phenomena occurring in the channels from the original system to the networked sensors. The concept of average ℋ∞ index is first introduced to measure the overall performance of the sensor networks. Then, by utilising available measurement information from not only each individual sensor but also its neighbouring sensors according a given topology, stability analysis is carried out to obtain sufficient conditions for ensuring stochastic stability as well as the prescribed average ℋ∞ performance constraint. The solution of the parameters of the distributed filters is characterised in terms of the feasibility of a convex optimisation problem. Finally, a simulation study is conducted for a factory production line in order to demonstrate the effectiveness of the developed theoretical results. Journal: International Journal of Systems Science Pages: 1507-1519 Issue: 9 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.550403 File-URL: http://hdl.handle.net/10.1080/00207721.2010.550403 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:9:p:1507-1519 Template-Type: ReDIF-Article 1.0 Author-Name: Jiahu Qin Author-X-Name-First: Jiahu Author-X-Name-Last: Qin Author-Name: Wei Zheng Author-X-Name-First: Wei Author-X-Name-Last: Zheng Author-Name: Huijun Gao Author-X-Name-First: Huijun Author-X-Name-Last: Gao Title: On pinning synchronisability of complex networks with arbitrary topological structure Abstract: This article aims to investigate the pinning synchronisability of complex networks under arbitrary topological structures with a focus on the case with directed graph topology. More specifically, we explore the necessary and sufficient conditions on choosing the pinned nodes to guarantee the pinning synchronisability of complex networks. It is found that the pinning synchronisability of complex networks relies totally on the way to pin the nodes as long as the coupling strength is large enough. Furthermore, it is proven that the entire network can synchronise exponentially fast. The least synchronisation speed can be specified as well. Finally, based on the theoretical findings proposed in this article, we provide the specific procedures for finding a least number of pinned nodes to realise the pinning synchronisability of complex networks. Journal: International Journal of Systems Science Pages: 1559-1571 Issue: 9 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.555014 File-URL: http://hdl.handle.net/10.1080/00207721.2011.555014 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:9:p:1559-1571 Template-Type: ReDIF-Article 1.0 Author-Name: Shamim Pakzad Author-X-Name-First: Shamim Author-X-Name-Last: Pakzad Author-Name: Guilherme Rocha Author-X-Name-First: Guilherme Author-X-Name-Last: Rocha Author-Name: Bin Yu Author-X-Name-First: Bin Author-X-Name-Last: Yu Title: Distributed modal identification using restricted auto regressive models Abstract: Advances in Wireless Sensor Networks (WSN) technology have provided promising possibilities in detecting a change in the state of a structure through monitoring its features estimated using sensor data. The natural vibration properties of the structure are a set of features commonly used for this purpose and are often estimated using a multivariate autoregressive model (AR model) for the measured structure's response to ambient vibrations. Fitting a multivariate AR model to the observed acceleration requires the computation of the lagged covariance between the measurements in all nodes. The resulting volume of data transmission causes significant latency due to the low data bandwidth of WSNs in addition to having a high transmission energy cost. In this paper, a set of restrictions to the estimation of the AR model is introduced. Such restrictions significantly reduce the volume of data flowing through the WSN thus reducing the latency in obtaining modal parameters and extending the battery lifetime of the WSN. A physical motivation is given for the restrictions based on a linear model for a multi-degree of freedom vibrating system. Stabilisation diagrams are compared for the restricted and full AR models fitted using data simulated from linear structures and real data collected from a WSN deployed on the Golden Gate Bridge (GGB). These stabilisation diagrams show that the estimated modes using the restricted AR models are of comparable quality to that of the full AR model while substantially reducing the volume of transmitted data. Journal: International Journal of Systems Science Pages: 1473-1489 Issue: 9 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.563875 File-URL: http://hdl.handle.net/10.1080/00207721.2011.563875 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:9:p:1473-1489 Template-Type: ReDIF-Article 1.0 Author-Name: Yong-Sheng Ding Author-X-Name-First: Yong-Sheng Author-X-Name-Last: Ding Author-Name: Xing-Jia Lu Author-X-Name-First: Xing-Jia Author-X-Name-Last: Lu Author-Name: Kuang-Rong Hao Author-X-Name-First: Kuang-Rong Author-X-Name-Last: Hao Author-Name: Long-Fei Li Author-X-Name-First: Long-Fei Author-X-Name-Last: Li Author-Name: Yi-Fan Hu Author-X-Name-First: Yi-Fan Author-X-Name-Last: Hu Title: Target coverage optimisation of wireless sensor networks using a multi-objective immune co-evolutionary algorithm Abstract: Target coverage is an important topic of wireless sensor networks. The target cover can be modelled as a minimal multi-objective vertex cover model with constraint of network connection. In order to search the optimal solution of the target cover set, we propose a multi-objective immune co-evolutionary algorithm (MOICEA) for target coverage. The MOICEA is inspired from the biological mechanisms of immune systems including clonal proliferation, hypermutation, co-evolution, immune elimination and memory mechanism. The affinity between antibody and antigen is used to measure the optimal target cover, and the affinity between antibodies is used to evaluate the diversity of population and to instruct the population evolution process. In order to examine the effectiveness of the MOICEA, we compare its performance with that of integer linear program and genetic algorithm in terms of four objectives while maintaining network connectivity. The experiment results show that the MOICEA can obtain promising performance in efficiently searching optimal vertex set by comparing with other approaches. Journal: International Journal of Systems Science Pages: 1531-1541 Issue: 9 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.564328 File-URL: http://hdl.handle.net/10.1080/00207721.2011.564328 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:9:p:1531-1541 Template-Type: ReDIF-Article 1.0 Author-Name: Hong Zheng Author-X-Name-First: Hong Author-X-Name-Last: Zheng Author-Name: Yugang Niu Author-X-Name-First: Yugang Author-X-Name-Last: Niu Author-Name: Gianfranco Ciardo Author-X-Name-First: Gianfranco Author-X-Name-Last: Ciardo Title: Modelling and analysis of UPnP AV media player system based on Petri nets Abstract: UPnP is a universal plug-and-play technology widely used in the digital home network. The UPnP AV architecture expands the UPnP technology to realise efficient communication and management. Petri nets are powerful formalism to model, analyse and simulate dynamic systems with concurrent and non-deterministic behaviours. We use Petri nets to model an UPnP AV media player system. Specifically, we simulate the media player in the digital home, by using reachability graph analysis to study the exception handling, data transmission, integrity and potential problems of this system. Journal: International Journal of Systems Science Pages: 1573-1580 Issue: 9 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.564329 File-URL: http://hdl.handle.net/10.1080/00207721.2011.564329 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:9:p:1573-1580 Template-Type: ReDIF-Article 1.0 Author-Name: Wen Yang Author-X-Name-First: Wen Author-X-Name-Last: Yang Author-Name: Xiaofan Wang Author-X-Name-First: Xiaofan Author-X-Name-Last: Wang Author-Name: Hongbo Shi Author-X-Name-First: Hongbo Author-X-Name-Last: Shi Title: Optimal consensus-based distributed estimation with intermittent communication Abstract: In this article, we consider the problem of distributed state estimation over a wireless sensor network (WSN). We firstly propose a distributed algorithm to estimate the state of a system by modelling the WSN as a directed network. Based on the Kalman filter, we introduce a consensus scheme for each sensor by including the estimates received from its neighbour sensors. We also consider intermittent and random data packet drops which are frequently seen in wireless networks. A sufficient condition is derived for the convergence of the state estimation error, and a upper bound is obtained for the estimation error covariance. We further consider minimising the estimation error by finding an optimal consensus gain for a given fixed network. The performance and effectiveness of the proposed algorithm are compared with existing well-known results from the literature. Journal: International Journal of Systems Science Pages: 1521-1529 Issue: 9 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.565135 File-URL: http://hdl.handle.net/10.1080/00207721.2011.565135 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:9:p:1521-1529 Template-Type: ReDIF-Article 1.0 Author-Name: Behrooz Safarinejadian Author-X-Name-First: Behrooz Author-X-Name-Last: Safarinejadian Author-Name: Mohammad Menhaj Author-X-Name-First: Mohammad Author-X-Name-Last: Menhaj Title: Distributed density estimation in sensor networks based on variational approximations Abstract: This article presents a peer-to-peer (P2P) distributed variational Bayesian (P2PDVB) algorithm for density estimation and clustering in sensor networks. It is assumed that measurements of the nodes can be statistically modelled by a common Gaussian mixture model. The variational approach allows the simultaneous estimate of the component parameters and the model complexity. In this algorithm, each node independently calculates local sufficient statistics first by using local observations. A P2P averaging approach is then used to diffuse local sufficient statistics to neighbours and estimate global sufficient statistics in each node. Finally, each sensor node uses the estimated global sufficient statistics to estimate the model order as well as the parameters of this model. Because the P2P averaging approach only requires that each node communicate with its neighbours, the P2PDVB algorithm is scalable and robust. Diffusion speed and convergence of the proposed algorithm are also studied. Finally, simulated and real data sets are used to verify the remarkable performance of proposed algorithm. Journal: International Journal of Systems Science Pages: 1445-1457 Issue: 9 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.565380 File-URL: http://hdl.handle.net/10.1080/00207721.2011.565380 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:9:p:1445-1457 Template-Type: ReDIF-Article 1.0 Author-Name: Bowen Lu Author-X-Name-First: Bowen Author-X-Name-Last: Lu Author-Name: John Oyekan Author-X-Name-First: John Author-X-Name-Last: Oyekan Author-Name: Dongbing Gu Author-X-Name-First: Dongbing Author-X-Name-Last: Gu Author-Name: Huosheng Hu Author-X-Name-First: Huosheng Author-X-Name-Last: Hu Author-Name: Hossein Nia Author-X-Name-First: Hossein Author-X-Name-Last: Nia Title: Mobile sensor networks for modelling environmental pollutant distribution Abstract: This article proposes to deploy a group of mobile sensor agents to cover a polluted region so that they are able to retrieve the pollutant distribution. The deployed mobile sensor agents are capable of making point observation in the natural environment. There are two approaches to modelling the pollutant distribution proposed in this article. One is a model-based approach where the sensor agents sample environmental pollutant, build up an environmental pollutant model and move towards the region where high density pollutant exists. The modelling technique used is a distributed support vector regression and the motion control technique used is a distributed locational optimising algorithm (centroidal Voronoi tessellation). The other is a model-free approach where the sensor agents sample environmental pollutant and directly move towards the region where high density pollutant exists without building up a model. The motion control technique used is a bacteria chemotaxis behaviour. By combining this behaviour with a flocking behaviour, it is possible to form a spatial distribution matched to the underlying pollutant distribution. Both approaches are simulated and tested with a group of real robots. Journal: International Journal of Systems Science Pages: 1491-1505 Issue: 9 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.572198 File-URL: http://hdl.handle.net/10.1080/00207721.2011.572198 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:9:p:1491-1505 Template-Type: ReDIF-Article 1.0 Author-Name: Jing Teng Author-X-Name-First: Jing Author-X-Name-Last: Teng Author-Name: Hichem Snoussi Author-X-Name-First: Hichem Author-X-Name-Last: Snoussi Author-Name: Cédric Richard Author-X-Name-First: Cédric Author-X-Name-Last: Richard Title: Collaborative multi-target tracking in wireless sensor networks Abstract: A collaborative variational/Monte Carlo scheme is proposed to solve the multi-target tracking (MTT) problem in wireless sensor networks (WSNs). The prime motivation of our work is to balance the inherent trade-off between the resource consumption and the accuracy of the target tracking. For the sake of resource efficiency, we reduce the MTT problem to distributed cluster-based variational target tracking when the targets are far apart; and switch to data association only when the targets are gathered, leading to ambiguous measurements. The sequential Monte Carlo (SMC) method is employed to assign the ambiguous measurements to specific targets or clutter based on association probabilities. The associated observations are then incorporated by the variational filter, where the distribution of involved particles is approximated by a simple Gaussian distribution for each target. In addition, considering the situation that the number of targets is varying, an hypothesis test is integrated into the collaborative scheme, to deal with the cases of arrivals of new targets and disappearances of the tracked targets. The effectiveness of the proposed scheme is evaluated and compared with the classic SMC MTT algorithm in terms of tracking accuracy, computation complexity and energy consumption. Journal: International Journal of Systems Science Pages: 1427-1443 Issue: 9 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.581398 File-URL: http://hdl.handle.net/10.1080/00207721.2011.581398 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:9:p:1427-1443 Template-Type: ReDIF-Article 1.0 Author-Name: Zidong Wang Author-X-Name-First: Zidong Author-X-Name-Last: Wang Author-Name: Yugang Niu Author-X-Name-First: Yugang Author-X-Name-Last: Niu Title: Distributed estimation and filtering for sensor networks Journal: International Journal of Systems Science Pages: 1421-1425 Issue: 9 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.596322 File-URL: http://hdl.handle.net/10.1080/00207721.2011.596322 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:9:p:1421-1425 Template-Type: ReDIF-Article 1.0 Author-Name: Ke-Cai Cao Author-X-Name-First: Ke-Cai Author-X-Name-Last: Cao Author-Name: Bin Jiang Author-X-Name-First: Bin Author-X-Name-Last: Jiang Author-Name: YangQuan Chen Author-X-Name-First: YangQuan Author-X-Name-Last: Chen Title: Cooperative control design for non-holonomic chained-form systems Abstract: Consensus and formation control problems for multiple non-holonomic chained-form systems are solved in this paper. For consensus problem, based on cascaded structure of the chained-form systems, it amounts to solving two consensus subproblems of two linear subsystems transformed from the original system. With the obtained consensus protocols and the method of virtual structure, decentralised formation controllers can then be designed. According to different desired motion patterns of the entire group, both the formation tracking and formation stabilisation problems can be considered. The significance of this paper lies in adapting theories from non-autonomous cascaded systems for cooperative control design for non-holonomic chained-form systems. A unique feature of our proposed solution is that all states can be cooperatively controlled to achieve the desired references for non-holonomic chained-form system. Simulation results are included to illustrate the effectiveness of the proposed methods in solving cooperative control problems of non-holonomic chained-form systems. Journal: International Journal of Systems Science Pages: 1525-1539 Issue: 9 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.809615 File-URL: http://hdl.handle.net/10.1080/00207721.2013.809615 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:9:p:1525-1539 Template-Type: ReDIF-Article 1.0 Author-Name: Francesco Longo Author-X-Name-First: Francesco Author-X-Name-Last: Longo Author-Name: Marco Scarpa Author-X-Name-First: Marco Author-X-Name-Last: Scarpa Title: Two-layer symbolic representation for stochastic models with phase-type distributed events Abstract: Among the techniques that have been proposed for the analysis of non-Markovian models, the state space expansion approach showed great flexibility in terms of modelling capacities.The principal drawback is the explosion of the state space. This paper proposes a two-layer symbolic method for efficiently storing the expanded reachability graph of a non-Markovian model in the case in which continuous phase-type distributions are associated with the firing times of system events, and different memory policies are considered. At the lower layer, the reachability graph is symbolically represented in the form of a set of Kronecker matrices, while, at the higher layer, all the information needed to correctly manage event memory is stored in a multi-terminal multi-valued decision diagram. Such an information is collected by applying a symbolic algorithm, which is based on a couple of theorems. The efficiency of the proposed approach, in terms of memory occupation and execution time, is shown by applying it to a set of non-Markovian stochastic Petri nets and comparing it with a classical explicit expansion algorithm. Moreover, a comparison with a classical symbolic approach is performed whenever possible. Journal: International Journal of Systems Science Pages: 1540-1571 Issue: 9 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.822940 File-URL: http://hdl.handle.net/10.1080/00207721.2013.822940 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:9:p:1540-1571 Template-Type: ReDIF-Article 1.0 Author-Name: Ioannis Giagkiozis Author-X-Name-First: Ioannis Author-X-Name-Last: Giagkiozis Author-Name: Robin C. Purshouse Author-X-Name-First: Robin C. Author-X-Name-Last: Purshouse Author-Name: Peter J. Fleming Author-X-Name-First: Peter J. Author-X-Name-Last: Fleming Title: An overview of population-based algorithms for multi-objective optimisation Abstract: In this work we present an overview of the most prominent population-based algorithms and the methodologies used to extend them to multiple objective problems. Although not exact in the mathematical sense, it has long been recognised that population-based multi-objective optimisation techniques for real-world applications are immensely valuable and versatile. These techniques are usually employed when exact optimisation methods are not easily applicable or simply when, due to sheer complexity, such techniques could potentially be very costly. Another advantage is that since a population of decision vectors is considered in each generation these algorithms are implicitly parallelisable and can generate an approximation of the entire Pareto front at each iteration. A critique of their capabilities is also provided. Journal: International Journal of Systems Science Pages: 1572-1599 Issue: 9 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.823526 File-URL: http://hdl.handle.net/10.1080/00207721.2013.823526 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:9:p:1572-1599 Template-Type: ReDIF-Article 1.0 Author-Name: Juan Eloy Ruiz-Castro Author-X-Name-First: Juan Eloy Author-X-Name-Last: Ruiz-Castro Title: A preventive maintenance policy for a standby system subject to internal failures and external shocks with loss of units Abstract: In many situations, serious damage and considerable financial losses are caused by non-repairable failures of a system. Redundant systems and maintenance policies are commonly employed to improve reliability. This paper is focused on the modelling of a complex cold standby system by analysing the effectiveness and costs of preventive maintenance, always in an algorithmic form. The online unit of the system is subject to wear failures and external shocks. The online unit can go through an indeterminate number of degradation levels before failure. This one is observed when inspections occur. Inspections are performed at random intervals, and when one takes place, the unit is taken to the preventive maintenance facility if it is necessary. The preventive maintenance time and cost is different depending on the degradation level observed. If only one unit is performing, a minimal maintenance policy is adopted in order to optimise system behaviour. Reliability measures such as the conditional probability of failure are worked out in a well-structured and algebraic form in transient and stationary regimes by using algorithmic methods. The stationary distribution is calculated using matrix analytic methods, and rewards are included in the model. An optimisation example shows the versatility of the model presented. Journal: International Journal of Systems Science Pages: 1600-1613 Issue: 9 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.827258 File-URL: http://hdl.handle.net/10.1080/00207721.2013.827258 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:9:p:1600-1613 Template-Type: ReDIF-Article 1.0 Author-Name: Minglai Chen Author-X-Name-First: Minglai Author-X-Name-Last: Chen Author-Name: Junmin Li Author-X-Name-First: Junmin Author-X-Name-Last: Li Title: Non-fragile guaranteed cost control for Takagi–Sugeno fuzzy hyperbolic systems Abstract: This paper concerns the problems of non-fragile guaranteed cost control (GCC) for nonlinear systems with or without parameter uncertainties. The Takagi–Sugeno (T–S) fuzzy hyperbolic model is employed to represent the nonlinear system. The non-fragile controller is designed by parallel distributed compensation (PDC) method, and some sufficient conditions are formulated via linear matrix inequalities (LMIs) such that the system is asymptotically stable and the cost function satisfies an upper bound in the presence of the additive controller perturbations. The above approach is also extended to the non-fragile GCC of T–S fuzzy hyperbolic system with parameter uncertainties, and the robust non-fragile GCC scheme is obtained. The main advantage of the non-fragile GCC based on the T–S fuzzy hyperbolic model is that it can achieve small control amplitude via ‘soft’ constraint approach. Finally, a numerical example and the Van de Vusse example are given to illustrate the effectiveness and feasibility of the proposed approach. Journal: International Journal of Systems Science Pages: 1614-1627 Issue: 9 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.827259 File-URL: http://hdl.handle.net/10.1080/00207721.2013.827259 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:9:p:1614-1627 Template-Type: ReDIF-Article 1.0 Author-Name: Rui Peng Author-X-Name-First: Rui Author-X-Name-Last: Peng Author-Name: Yan-Fu Li Author-X-Name-First: Yan-Fu Author-X-Name-Last: Li Author-Name: Jun-Guang Zhang Author-X-Name-First: Jun-Guang Author-X-Name-Last: Zhang Author-Name: Xiang Li Author-X-Name-First: Xiang Author-X-Name-Last: Li Title: A risk-reduction approach for optimal software release time determination with the delay incurred cost Abstract: Most existing research on software release time determination assumes that parameters of the software reliability model (SRM) are deterministic and the reliability estimate is accurate. In practice, however, there exists a risk that the reliability requirement cannot be guaranteed due to the parameter uncertainties in the SRM, and such risk can be as high as 50% when the mean value is used. It is necessary for the software project managers to reduce the risk to a lower level by delaying the software release, which inevitably increases the software testing costs. In order to incorporate the managers’ preferences over these two factors, a decision model based on multi-attribute utility theory (MAUT) is developed for the determination of optimal risk-reduction release time. Journal: International Journal of Systems Science Pages: 1628-1637 Issue: 9 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.827261 File-URL: http://hdl.handle.net/10.1080/00207721.2013.827261 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:9:p:1628-1637 Template-Type: ReDIF-Article 1.0 Author-Name: Xiushan Cai Author-X-Name-First: Xiushan Author-X-Name-Last: Cai Author-Name: Yang Liu Author-X-Name-First: Yang Author-X-Name-Last: Liu Author-Name: Wei Zhang Author-X-Name-First: Wei Author-X-Name-Last: Zhang Title: Control design for a class of nonlinear parameter varying systems Abstract: Stabilisation for a class of one-sided Lipschitz nonlinear parameter varying systems is dealt with in this paper. First, the nonlinear parameter varying system is represented as a subsystem of a differential inclusion. Sufficient conditions for exponential stabilisation for the differential inclusion are given by solving linear matrix inequalities. Then a continuous control law is designed to stabilise the differential inclusion. It leads to stabilising the nonlinear parameter varying system. Finally, a simulation example is presented to show the validity and advantages of the proposed method. Journal: International Journal of Systems Science Pages: 1638-1647 Issue: 9 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.827262 File-URL: http://hdl.handle.net/10.1080/00207721.2013.827262 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:9:p:1638-1647 Template-Type: ReDIF-Article 1.0 Author-Name: Xufeng Zhao Author-X-Name-First: Xufeng Author-X-Name-Last: Zhao Author-Name: Toshio Nakagawa Author-X-Name-First: Toshio Author-X-Name-Last: Nakagawa Title: Optimal periodic and random inspections with first, last and overtime policies Abstract: It has been assumed for a standby unit that periodic inspection is performed more easily to detect failures, but such a strict periodic mode would be impractical if the unit is executing some procedures without stops. From the above viewpoint, this paper first optimises a random inspection policy in accordance with random procedure times, compares it with periodic inspection and computes a modified checking cost for random inspection to determine the case where such a random inspection would be adopted. Second, this paper proposes three new inspection models in which inspections with deterministic policies are scheduled strategically while their performances need to be limited by completion times of operation procedures. These policies are called inspection first, inspection last and inspection overtime. The total expected inspection and downtime costs of each model until failure detection are obtained, and optimal policies which minimise them are derived analytically. Furthermore, the three inspection policies are compared with periodic inspection, inspection first and last are compared with each other, and a modified checking cost for inspection overtime is discussed when the policy would be better than periodic inspection. Journal: International Journal of Systems Science Pages: 1648-1660 Issue: 9 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.827263 File-URL: http://hdl.handle.net/10.1080/00207721.2013.827263 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:9:p:1648-1660 Template-Type: ReDIF-Article 1.0 Author-Name: Dimitri Lefebvre Author-X-Name-First: Dimitri Author-X-Name-Last: Lefebvre Author-Name: Edouard Leclercq Author-X-Name-First: Edouard Author-X-Name-Last: Leclercq Author-Name: Fabrice Druaux Author-X-Name-First: Fabrice Author-X-Name-Last: Druaux Author-Name: Philippe Thomas Author-X-Name-First: Philippe Author-X-Name-Last: Thomas Title: Gradient-based controllers for timed continuous Petri nets Abstract: This paper is about control design for timed continuous Petri nets that are described as piecewise affine systems. In this context, the marking vector is considered as the state space vector, weighted marking of place subsets are defined as the model outputs and the model inputs correspond to multiplicative control actions that slow down the firing rate of some controllable transitions. Structural and functional sensitivity of the outputs with respect to the inputs are discussed in terms of Petri nets. Then, gradient-based controllers (GBC) are developed in order to adapt the control actions of the controllable transitions according to desired trajectories of the outputs. Journal: International Journal of Systems Science Pages: 1661-1678 Issue: 9 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.827264 File-URL: http://hdl.handle.net/10.1080/00207721.2013.827264 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:9:p:1661-1678 Template-Type: ReDIF-Article 1.0 Author-Name: Yeu-Shiang Huang Author-X-Name-First: Yeu-Shiang Author-X-Name-Last: Huang Author-Name: Ruei-Pei Wang Author-X-Name-First: Ruei-Pei Author-X-Name-Last: Wang Author-Name: Jyh-Wen Ho Author-X-Name-First: Jyh-Wen Author-X-Name-Last: Ho Title: Determination of optimal lot size and production rate for multi-production channels with limited capacity Abstract: Due to the constantly changing business environment, producers often have to deal with customers by adopting different procurement policies. That is, manufacturers confront not only predictable and regular orders, but also unpredictable and irregular orders. In this study, from the perspective of upstream manufacturers, both regular and irregular orders are considered in coping with the situation in which an uncertain demand is faced by the manufacturer, and a capacity confirming mechanism is used to examine such demand. If the demand is less than or equal to the capacity of the ordinary production channel, the general supply channel is utilised to fully account for the manufacturing process, but if the demand is greater than the capacity of the ordinary production channel, the contingency production channel would be activated along with the ordinary channel to satisfy the upcoming high demand. Besides, the reproductive property of the probability distribution is employed to represent the order quantity of the two types of demand. Accordingly, the optimal production rates and lot sizes for both channels are derived to provide managers with insights for further production planning. Journal: International Journal of Systems Science Pages: 1679-1691 Issue: 9 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.828795 File-URL: http://hdl.handle.net/10.1080/00207721.2013.828795 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:9:p:1679-1691 Template-Type: ReDIF-Article 1.0 Author-Name: I.T. Castro Author-X-Name-First: I.T. Author-X-Name-Last: Castro Author-Name: N.C. Caballé Author-X-Name-First: N.C. Author-X-Name-Last: Caballé Author-Name: C.J. Pérez Author-X-Name-First: C.J. Author-X-Name-Last: Pérez Title: A condition-based maintenance for a system subject to multiple degradation processes and external shocks Abstract: This paper analyses a condition-based maintenance for a system subject to different competing failure modes: internal degradation and external shocks. Internal degradation is the result of the arrival to the system of multiple cracks that grow according to stochastic deterioration processes. External shocks arrive to the system at random times and provoke the system failure. A condition-based maintenance model with periodic inspection times is developed for this competing failure model. Under this maintenance strategy, a preventive replacement is performed when the degradation level of a given crack in an inspection time exceeds a predetermined threshold. A corrective replacement is performed when the system is failed in an inspection time. Under this maintenance scheme, the expression of the expected cost rate is obtained. A numerical example illustrates the maintenance model. Journal: International Journal of Systems Science Pages: 1692-1704 Issue: 9 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.828796 File-URL: http://hdl.handle.net/10.1080/00207721.2013.828796 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:9:p:1692-1704 Template-Type: ReDIF-Article 1.0 Author-Name: Gerardo Treviño-Garza Author-X-Name-First: Gerardo Author-X-Name-Last: Treviño-Garza Author-Name: Krystel K. Castillo-Villar Author-X-Name-First: Krystel K. Author-X-Name-Last: Castillo-Villar Author-Name: Leopoldo Eduardo Cárdenas-Barrón Author-X-Name-First: Leopoldo Eduardo Author-X-Name-Last: Cárdenas-Barrón Title: Joint determination of the lot size and number of shipments for a family of integrated vendor–buyer systems considering defective products Abstract: In this paper we present two solution procedures to obtain the solution for a family of economic production quantity inventory models for an integrated vendor–buyer system considering that production system generates defective products, in which the number of shipments must be a discrete value and that the lot size can take continuous (case 1) or integer (case 2) values. These solution procedures provide a more realistic approach for solving a family of inventory models. Previous works only derive the optimal lot size considering the number of shipments as a given value or derive both the lot size and the number of shipments considering both decision variables as continuous. The number of shipments takes integer values in real life and thus it must be considered as a discrete variable. This paper revisits and solves previous inventory models considering the variables (lot size and number of shipments) according to their real-life nature. Journal: International Journal of Systems Science Pages: 1705-1716 Issue: 9 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2014.886750 File-URL: http://hdl.handle.net/10.1080/00207721.2014.886750 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:9:p:1705-1716 Template-Type: ReDIF-Article 1.0 Author-Name: Guang-Hui Xu Author-X-Name-First: Guang-Hui Author-X-Name-Last: Xu Author-Name: Ding-Xin He Author-X-Name-First: Ding-Xin Author-X-Name-Last: He Author-Name: Zhi-Hong Guan Author-X-Name-First: Zhi-Hong Author-X-Name-Last: Guan Author-Name: Ding-Xue Zhang Author-X-Name-First: Ding-Xue Author-X-Name-Last: Zhang Author-Name: Xian-He Zhang Author-X-Name-First: Xian-He Author-X-Name-Last: Zhang Title: Disturbance attenuation over a first-order moving average Gaussian noise channel Abstract: In this paper, the problem of disturbance attenuation has been studied for a linear time-invariant feedback control system with a first-order moving average Gaussian noise channel. By applying the concept of entropy power, a lower bound of signal-to-noise ratio has been achieved which is necessary for stabilisation of a system with the limited channel input power constraint. Moreover, the problem of minimising the influence of a stochastic disturbance on the output has also been investigated, and the controller design method has been obtained by using Youla parameterisation and H2 theory. It is shown that the minimum variance of the system output depends not only on the disturbance variance, noise variance and unstable poles, but also on the non-minimum phase zeros and channel parameter. Finally, the effectiveness of the proposed results is illustrated by a numerical example. Journal: International Journal of Systems Science Pages: 2865-2872 Issue: 16 Volume: 46 Year: 2015 Month: 12 X-DOI: 10.1080/00207721.2014.880194 File-URL: http://hdl.handle.net/10.1080/00207721.2014.880194 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:16:p:2865-2872 Template-Type: ReDIF-Article 1.0 Author-Name: Younés Abbassi Author-X-Name-First: Younés Author-X-Name-Last: Abbassi Author-Name: Youcef Ait-Amirat Author-X-Name-First: Youcef Author-X-Name-Last: Ait-Amirat Author-Name: Rachid Outbib Author-X-Name-First: Rachid Author-X-Name-Last: Outbib Title: Nonlinear feedback control and trajectory tracking of vehicle Abstract: This paper mainly studies nonlinear feedback control applied to the nonlinear vehicle dynamics with varying velocity. The main objective of this study is the stabilisation of longitudinal, lateral and yaw angular vehicle velocities. To this end, a nonlinear vehicle model is developed which takes both the lateral and longitudinal vehicle dynamics into account. Based on this model, a method to build a nonlinear state feedback control is first designed by which the complexity of system structure can be simplified. The obtained system is then synthesised by the combined Lyapunov–LaSalle method. The simulation results show that the proposed control can improve stability and comfort of vehicle driving. Moreover, this paper presents a lemma which ensures the trajectory tracking and path-following problem for vehicle. It can also be exploited simultaneously to solve both the tracking and path-following control problems of the vehicle ride and driving stability. We also show how the results of the lemma can be applied to solve the path-following problem, in which the vehicle converges and follows a designed path. The effectiveness of the proposed lemma for trajectory tracking is clearly demonstrated by simulation results. Journal: International Journal of Systems Science Pages: 2873-2886 Issue: 16 Volume: 46 Year: 2015 Month: 12 X-DOI: 10.1080/00207721.2014.880195 File-URL: http://hdl.handle.net/10.1080/00207721.2014.880195 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:16:p:2873-2886 Template-Type: ReDIF-Article 1.0 Author-Name: Yuechao Ma Author-X-Name-First: Yuechao Author-X-Name-Last: Ma Author-Name: Shujie Jin Author-X-Name-First: Shujie Author-X-Name-Last: Jin Author-Name: Nannan Gu Author-X-Name-First: Nannan Author-X-Name-Last: Gu Title: Delay-dependent decentralised control for a class of uncertain similar interconnected systems with state delay and input delay Abstract: In this paper, the problem of delay-dependent decentralised control for a class of uncertain similar interconnected systems is investigated, where not only the state vectors but also the input vectors involve time delay. The new similar structure is presented via state feedback, based on which, by exploiting the structure of interconnected systems, the new integral inequalities, constrained Lyapunov equations and LMI method, the decentralised stabilization controllers are designed, which is dependent on time delays, to stabilise the interconnected systems uniformly asymptotically. The results show that the design is easy to calculate and the controllers have the similar structure, so it is easy to realise project. Finally, a numerical example is given to demonstrate the effectiveness of the results obtained in this paper. Journal: International Journal of Systems Science Pages: 2887-2896 Issue: 16 Volume: 46 Year: 2015 Month: 12 X-DOI: 10.1080/00207721.2014.880196 File-URL: http://hdl.handle.net/10.1080/00207721.2014.880196 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:16:p:2887-2896 Template-Type: ReDIF-Article 1.0 Author-Name: Ying-Jiu Liang Author-X-Name-First: Ying-Jiu Author-X-Name-Last: Liang Author-Name: Ruicheng Ma Author-X-Name-First: Ruicheng Author-X-Name-Last: Ma Author-Name: Min Wang Author-X-Name-First: Min Author-X-Name-Last: Wang Author-Name: Jun Fu Author-X-Name-First: Jun Author-X-Name-Last: Fu Title: Global finite-time stabilisation of a class of switched nonlinear systems Abstract: This paper is concerned with the global finite-time stabilisation problem for a class of switched nonlinear systems under arbitrary switchings. All subsystems of the studied switched system under consideration are in lower triangular form. Based on the adding one power integrator technique, both a class of non-Lipschitz continuous state feedback controllers and a common Lyapunov function are simultaneously constructed such that the closed-loop switched system is global finite-time stable under arbitrary switchings. In the controller design process, a common coordinate transformation of all subsystems is exploited to avoid using individual coordinate transformations for subsystems. Finally, two examples are given to show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2897-2904 Issue: 16 Volume: 46 Year: 2015 Month: 12 X-DOI: 10.1080/00207721.2014.880197 File-URL: http://hdl.handle.net/10.1080/00207721.2014.880197 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:16:p:2897-2904 Template-Type: ReDIF-Article 1.0 Author-Name: Jin Zhang Author-X-Name-First: Jin Author-X-Name-Last: Zhang Author-Name: Guo-jin Tang Author-X-Name-First: Guo-jin Author-X-Name-Last: Tang Author-Name: Ya-zhong Luo Author-X-Name-First: Ya-zhong Author-X-Name-Last: Luo Title: Hybrid multi-objective optimisation for concurrent activities consolidating two docked spacecraft Abstract: Rendezvous and docking (RVD) is a key technology for performing complicated space missions. After an RVD process, several activities are executed to consolidate two docked spacecraft into a spacecraft complex, and this task phase is referred to as a spacecraft consolidation mission. It can save the mission time to execute these activities in parallel, but a high degree of parallelism could result in a disordered execution profile and many violations of precedence constraints. To solve this contradiction, a hybrid multi-objective optimisation approach is proposed. The precedence requirements within each activity are satisfied using an encoding and scheduling process, while the precedence requirements between different activities are treated by adding release time variables. A compact-execution index is designed to express the preference of an orderly and compact execution profile. Furthermore, a multi-objective hybrid-encoding genetic algorithm is employed to find optimal solutions. Finally, the proposed approach is demonstrated for a numerical example. The results show that optimal solutions satisfying precedence requirements both within each activity and between different activities are successfully obtained, and the trade-off between saving mission time and obtaining an orderly and compact execution profile can be effectively made. The performance of the proposed method is validated by comparison with two other multi-objective genetic algorithms. Journal: International Journal of Systems Science Pages: 2905-2917 Issue: 16 Volume: 46 Year: 2015 Month: 12 X-DOI: 10.1080/00207721.2014.880198 File-URL: http://hdl.handle.net/10.1080/00207721.2014.880198 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:16:p:2905-2917 Template-Type: ReDIF-Article 1.0 Author-Name: Qiang Zhang Author-X-Name-First: Qiang Author-X-Name-Last: Zhang Author-Name: Chaojie Zhang Author-X-Name-First: Chaojie Author-X-Name-Last: Zhang Author-Name: Meiqin Liu Author-X-Name-First: Meiqin Author-X-Name-Last: Liu Author-Name: Senlin Zhang Author-X-Name-First: Senlin Author-X-Name-Last: Zhang Title: Local node selection for target tracking based on underwater wireless sensor networks Abstract: Traditional sonar-array-based target tracking algorithms may be unsuitable for on-demand tracking missions, since they assume that the sonar arrays should be towed or mounted by a submarine or a ship. Alternatively, underwater wireless sensor networks can offer a promising solution approach. First, each underwater node is battery-powered, so saving energy expenditure is a critical issue. Instead of keeping all sensor nodes active, this paper provides a local node selection (LNS) scheme which increases energy efficiency by waking up only a small part of nodes at each time. Second, considering node's limited computing ability and the real-time requirement for the tracking algorithm, instead of employing the centralised fusion structure, we utilise the distributed Kalman filtering fusion with feedback in this paper. Finally, instead of assuming one sensor node can uniquely determine target's location, a more practical range-only measurement model is proposed. Then the LNS scheme and distributed fusion with feedback are extended to our range-only measurement model. The simulation results demonstrate the efficiency of our scheme. Journal: International Journal of Systems Science Pages: 2918-2927 Issue: 16 Volume: 46 Year: 2015 Month: 12 X-DOI: 10.1080/00207721.2014.880199 File-URL: http://hdl.handle.net/10.1080/00207721.2014.880199 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:16:p:2918-2927 Template-Type: ReDIF-Article 1.0 Author-Name: S. Islam Author-X-Name-First: S. Author-X-Name-Last: Islam Author-Name: P.X. Liu Author-X-Name-First: P.X. Author-X-Name-Last: Liu Author-Name: A. El Saddik Author-X-Name-First: A. El Author-X-Name-Last: Saddik Title: Nonlinear adaptive control for teleoperation systems with symmetrical and unsymmetrical time-varying delay Abstract: The stability and trajectory tracking control problem of passive teleoperation systems with the presence of the symmetrical and unsymmetrical time-varying communication delay is addressed in this paper. The proposed teleoperator is designed by coupling local and remote sites by delaying position signals of the master and slave manipulator. The design also comprises local proportional and derivative signals with nonlinear adaptive terms to cope with parametric uncertainty associated with the master and slave dynamics. The Lyapunov–Krasovskii function is employed to establish stability conditions for the closed-loop teleoperators under both symmetrical and unsymmetrical time-varying communication delay. These delay-dependent conditions allow the designer to estimate the control gains a priori in order to achieve asymptotic property of the position, velocity and synchronisation errors of the master and slave systems. Finally, simulation results along with comparative studies are presented to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2928-2938 Issue: 16 Volume: 46 Year: 2015 Month: 12 X-DOI: 10.1080/00207721.2014.880528 File-URL: http://hdl.handle.net/10.1080/00207721.2014.880528 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:16:p:2928-2938 Template-Type: ReDIF-Article 1.0 Author-Name: Jane Teergele Author-X-Name-First: Jane Author-X-Name-Last: Teergele Author-Name: Kourosh Danai Author-X-Name-First: Kourosh Author-X-Name-Last: Danai Title: Selection of outputs for distributed parameter systems by identifiability analysis in the time-scale domain Abstract: A method of sensor location selection is introduced for distributed parameter systems. In this method, the sensitivities of spatial outputs to model parameters are computed by a model and transformed via continuous wavelet transforms into the time-scale domain to characterise the shape attributes of output sensitivities and accentuate their differences. Regions are then sought in the time-scale plane wherein the wavelet coefficient of an output sensitivity surpasses all the others’ as indication of the output sensitivity’s distinctness. This yields a comprehensive account of identifiability each output provides to the model parameters as the basis of output selection. The proposed output selection strategy is demonstrated for a numerical case of pollutant dispersion by advection and diffusion in a two-dimensional area. Journal: International Journal of Systems Science Pages: 2939-2954 Issue: 16 Volume: 46 Year: 2015 Month: 12 X-DOI: 10.1080/00207721.2014.884251 File-URL: http://hdl.handle.net/10.1080/00207721.2014.884251 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:16:p:2939-2954 Template-Type: ReDIF-Article 1.0 Author-Name: Mohammad Hassan Asemani Author-X-Name-First: Mohammad Hassan Author-X-Name-Last: Asemani Author-Name: Vahid Johari Majd Author-X-Name-First: Vahid Johari Author-X-Name-Last: Majd Title: A robust -tracking design for uncertain Takagi–Sugeno fuzzy systems with unknown premise variables using descriptor redundancy approach Abstract: This paper addresses a robust H∞ fuzzy observer-based tracking design problem for uncertain Takagi–Sugeno fuzzy systems with external disturbances. To have a practical observer-based controller, the premise variables of the system are assumed to be not measurable in general, which leads to a more complex design process. The tracker is synthesised based on a fuzzy Lyapunov function approach and non-parallel distributed compensation (non-PDC) scheme. Using the descriptor redundancy approach, the robust stability conditions are derived in the form of strict linear matrix inequalities (LMIs) even in the presence of uncertainties in the system, input, and output matrices simultaneously. Numerical simulations are provided to show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2955-2972 Issue: 16 Volume: 46 Year: 2015 Month: 12 X-DOI: 10.1080/00207721.2014.884252 File-URL: http://hdl.handle.net/10.1080/00207721.2014.884252 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:16:p:2955-2972 Template-Type: ReDIF-Article 1.0 Author-Name: Zairui Gao Author-X-Name-First: Zairui Author-X-Name-Last: Gao Author-Name: Kun Yang Author-X-Name-First: Kun Author-X-Name-Last: Yang Author-Name: Yanxia Shen Author-X-Name-First: Yanxia Author-X-Name-Last: Shen Author-Name: Zhicheng Ji Author-X-Name-First: Zhicheng Author-X-Name-Last: Ji Title: Input-to-state stability analysis for a class of nonlinear switched descriptor systems Abstract: This paper considers the problem of input-to-state stability for a class of nonlinear switched descriptor systems. According to the definition of input-to-state stability, sufficient conditions are derived to ensure that the system is input-to-state stable based on the dwell time approach and the Gronwall–Bellman inequality. Compared with existing methods, it is more convenient to design the controller for each subsystem, because it does not need to construct the input-to-state stable control Lyapunov function and design the specific structure of the control inputs. Finally, two numerical examples illustrate the feasibility and effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2973-2981 Issue: 16 Volume: 46 Year: 2015 Month: 12 X-DOI: 10.1080/00207721.2014.886134 File-URL: http://hdl.handle.net/10.1080/00207721.2014.886134 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:16:p:2973-2981 Template-Type: ReDIF-Article 1.0 Author-Name: W. Wang Author-X-Name-First: W. Author-X-Name-Last: Wang Author-Name: D. Wang Author-X-Name-First: D. Author-X-Name-Last: Wang Author-Name: Z.H. Peng Author-X-Name-First: Z.H. Author-X-Name-Last: Peng Title: Cooperative fuzzy adaptive output feedback control for synchronisation of nonlinear multi-agent systems under directed graphs Abstract: This paper considers the leader-following synchronisation problem of nonlinear multi-agent systems with unmeasurable states and a dynamic leader whose input is not available to any follower. Each follower is governed by a nonlinear system with unknown dynamics. Two distributed fuzzy adaptive protocols, based on local and neighbourhood observers, respectively, are proposed to guarantee that the states of all followers synchronise to that of the leader, under the condition that the communication graph among the followers contains a directed spanning tree. Based on Lyapunov stability theory, the synchronisation errors are guaranteed to be cooperatively uniformly ultimately bounded. Two examples are provided to show the effectiveness of the proposed controllers. Journal: International Journal of Systems Science Pages: 2982-2995 Issue: 16 Volume: 46 Year: 2015 Month: 12 X-DOI: 10.1080/00207721.2014.886135 File-URL: http://hdl.handle.net/10.1080/00207721.2014.886135 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:16:p:2982-2995 Template-Type: ReDIF-Article 1.0 Author-Name: H. Imine Author-X-Name-First: H. Author-X-Name-Last: Imine Author-Name: L. Fridman Author-X-Name-First: L. Author-X-Name-Last: Fridman Author-Name: T. Madani Author-X-Name-First: T. Author-X-Name-Last: Madani Title: Identification of vehicle parameters and estimation of vertical forces Abstract: The aim of the present work is to estimate the vertical forces and to identify the unknown dynamic parameters of a vehicle using the sliding mode observers approach. The estimation of vertical forces needs a good knowledge of dynamic parameters such as damping coefficient, spring stiffness and unsprung masses, etc.In this paper, suspension stiffness and unsprung masses have been identified by the Least Square Method.Real-time tests have been carried out on an instrumented static vehicle, excited vertically by hydraulic jacks. The vehicle is equipped with different sensors in order to measure its dynamics. The measurements coming from these sensors have been considered as unknown inputs of the system. However, only the roll angle and the suspension deflection measurements have been used in order to perform the observer. Experimental results are presented and discussed to show the quality of the proposed approach. Journal: International Journal of Systems Science Pages: 2996-3009 Issue: 16 Volume: 46 Year: 2015 Month: 12 X-DOI: 10.1080/00207721.2014.886741 File-URL: http://hdl.handle.net/10.1080/00207721.2014.886741 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:16:p:2996-3009 Template-Type: ReDIF-Article 1.0 Author-Name: Rong-Hwa Huang Author-X-Name-First: Rong-Hwa Author-X-Name-Last: Huang Author-Name: Chang-Lin Yang Author-X-Name-First: Chang-Lin Author-X-Name-Last: Yang Author-Name: Chun-Ting Hsu Author-X-Name-First: Chun-Ting Author-X-Name-Last: Hsu Title: Multi-objective two-stage multiprocessor flow shop scheduling – a subgroup particle swarm optimisation approach Abstract: Flow shop production system – compared to other economically important production systems – is popular in real manufacturing environments. This study focuses on the flow shop with multiprocessor scheduling problem (FSMP), and develops an improved particle swarm optimisation heuristic to solve it. Additionally, this study designs an integer programming model to perform effectiveness and robustness testing on the proposed heuristic. Experimental results demonstrate a 10% to 50% improvement in the effectiveness of the proposed heuristic in small-scale problem tests, and a 10% to 40% improvement in the robustness of the heuristic in large-scale problem tests, indicating extremely satisfactory performance. Journal: International Journal of Systems Science Pages: 3010-3018 Issue: 16 Volume: 46 Year: 2015 Month: 12 X-DOI: 10.1080/00207721.2014.886742 File-URL: http://hdl.handle.net/10.1080/00207721.2014.886742 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:16:p:3010-3018 Template-Type: ReDIF-Article 1.0 Author-Name: Yiqing Huang Author-X-Name-First: Yiqing Author-X-Name-Last: Huang Author-Name: Changyin Sun Author-X-Name-First: Changyin Author-X-Name-Last: Sun Author-Name: Chengshan Qian Author-X-Name-First: Chengshan Author-X-Name-Last: Qian Author-Name: Li Wang Author-X-Name-First: Li Author-X-Name-Last: Wang Title: Linear parameter varying switching attitude control for a near space hypersonic vehicle with parametric uncertainties Abstract: This paper deals with the problem of linear parameter varying (LPV) switching attitude control for a near space hypersonic vehicle (NSHV) with parametric uncertainties. First, due to the enormous complexity of the NSHV nonlinear attitude dynamics, a slow–fast loop polytopic LPV attitude model is developed by using Jacobian linearisation and the tensor product model transformation approach. Second, for the purpose of less conservative attitude controller design, the flight envelope is divided into four subregions. For each parameter subregion, slow-loop and fast-loop LPV controllers are designed. By the defined switching character function, these slow–fast loop LPV controllers are then switched in order to guarantee the closed-loop NSHV system to be asymptotically stable and satisfy a specified tracking performance criterion. The condition of LPV switching attitude controller synthesis is given in terms of linear matrix inequalities, which can be readily solved via standard numerical software, and the robust stability analysis of the closed-loop NSHV system is verified based on multiple Lypapunov functions. Finally, numerical simulations have demonstrated the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 3019-3031 Issue: 16 Volume: 46 Year: 2015 Month: 12 X-DOI: 10.1080/00207721.2014.886743 File-URL: http://hdl.handle.net/10.1080/00207721.2014.886743 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:16:p:3019-3031 Template-Type: ReDIF-Article 1.0 Author-Name: Chunquan Liang Author-X-Name-First: Chunquan Author-X-Name-Last: Liang Author-Name: Yang Zhang Author-X-Name-First: Yang Author-X-Name-Last: Zhang Author-Name: Peng Shi Author-X-Name-First: Peng Author-X-Name-Last: Shi Author-Name: Zhengguo Hu Author-X-Name-First: Zhengguo Author-X-Name-Last: Hu Title: Learning accurate very fast decision trees from uncertain data streams Abstract: Most existing works on data stream classification assume the streaming data is precise and definite. Such assumption, however, does not always hold in practice, since data uncertainty is ubiquitous in data stream applications due to imprecise measurement, missing values, privacy protection, etc. The goal of this paper is to learn accurate decision tree models from uncertain data streams for classification analysis. On the basis of very fast decision tree (VFDT) algorithms, we proposed an algorithm for constructing an uncertain VFDT tree with classifiers at tree leaves (uVFDTc). The uVFDTc algorithm can exploit uncertain information effectively and efficiently in both the learning and the classification phases. In the learning phase, it uses Hoeffding bound theory to learn from uncertain data streams and yield fast and reasonable decision trees. In the classification phase, at tree leaves it uses uncertain naive Bayes (UNB) classifiers to improve the classification performance. Experimental results on both synthetic and real-life datasets demonstrate the strong ability of uVFDTc to classify uncertain data streams. The use of UNB at tree leaves has improved the performance of uVFDTc, especially the any-time property, the benefit of exploiting uncertain information, and the robustness against uncertainty. Journal: International Journal of Systems Science Pages: 3032-3050 Issue: 16 Volume: 46 Year: 2015 Month: 12 X-DOI: 10.1080/00207721.2014.895877 File-URL: http://hdl.handle.net/10.1080/00207721.2014.895877 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:16:p:3032-3050 Template-Type: ReDIF-Article 1.0 Author-Name: S. Li Author-X-Name-First: S. Author-X-Name-Last: Li Author-Name: Z.Z. Li Author-X-Name-First: Z.Z. Author-X-Name-Last: Li Title: Spare parts allocation by improved genetic algorithm and Monte Carlo simulation Abstract: A combined Monte Carlo (MC) simulation and Genetic Algorithm (GA) method was proposed by other researchers for the optimisation of spare parts allocation. From case studies, it was found that the number of simulation trials of the existing method tended to be either excessive or inadequate. Thus, a simulation replication number control method making full use of the advance simulation effort is proposed and implemented into the existing method. A numerical example shows significant improvement on overall simulation efficiency and that at the same time the required accuracy is guaranteed. Furthermore, it is argued that application-specific knowledge should be embedded into the general GA procedure so that the evolution process can be more efficient. Heuristic methods for initial population preparation for GA with and without considering component cost difference are proposed and illustrated for spare parts allocation. A computing experiment was designed and performed to examine the influence of parameters for replication number control and initial population preparation. The generation of availability–cost curve further indicates the necessity to adopt heuristic methods to improve searching efficiency in GA. Journal: International Journal of Systems Science Pages: 997-1006 Issue: 6 Volume: 43 Year: 2012 X-DOI: 10.1080/00207720802556252 File-URL: http://hdl.handle.net/10.1080/00207720802556252 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:6:p:997-1006 Template-Type: ReDIF-Article 1.0 Author-Name: Shey-Huei Sheu Author-X-Name-First: Shey-Huei Author-X-Name-Last: Sheu Author-Name: Suh-Huey Li Author-X-Name-First: Suh-Huey Author-X-Name-Last: Li Author-Name: Chin-Chih Chang Author-X-Name-First: Chin-Chih Author-X-Name-Last: Chang Title: A generalised maintenance policy with age-dependent minimal repair cost for a system subject to shocks under periodic overhaul Abstract: A system is subject to shocks that arrive according to a non-homogeneous Poisson process. As shocks occur, the system has two types of failures: type 1 failure (minor failure) is removed by a minimal repair, whereas type 2 failure (catastrophic failure) is removed by overhaul or replacement. The cost of minimal repair depends on age. A system is overhauled when the occurrence of a type 2 failure or at age T, whichever occurs first. At the N-th overhaul, the system is replaced rather than overhauled. A maintenance policy for determining optimal number of overhauls and optimal interval between overhauls which incorporate minimal repairs, overhauls and replacement is proposed. Under such a policy, an approach which using the concept of virtual age is adopted. It is shown that there exists a unique optimal policy which minimises the expected cost rate under certain conditions. Various cases are considered. Journal: International Journal of Systems Science Pages: 1007-1013 Issue: 6 Volume: 43 Year: 2012 X-DOI: 10.1080/00207720802645220 File-URL: http://hdl.handle.net/10.1080/00207720802645220 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:6:p:1007-1013 Template-Type: ReDIF-Article 1.0 Author-Name: Fausto Márquez Author-X-Name-First: Fausto Author-X-Name-Last: Márquez Author-Name: Jesús Muñoz Author-X-Name-First: Jesús Author-X-Name-Last: Muñoz Title: A pattern recognition and data analysis method for maintenance management Abstract: This article presents a pattern recognition method based on grouping by linear relationship a set of faults. The majority of faults can be detected, but only a few experiments can be identified. The algorithm called Principal Component Analysis (PCA) is employed together with the statistical parameters of the signals for detecting and identifying the faults. PCA technique is utilised for modifying dataset reducing the coordinate system, which must be correlated, by linear transformation, into a smaller set of uncorrelated variables called ‘principal components’. The signals analysed were the current and force signals in normal-to-reverse and reverse-to-normal directions of the system. Journal: International Journal of Systems Science Pages: 1014-1028 Issue: 6 Volume: 43 Year: 2012 X-DOI: 10.1080/00207720903045809 File-URL: http://hdl.handle.net/10.1080/00207720903045809 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:6:p:1014-1028 Template-Type: ReDIF-Article 1.0 Author-Name: Ting-Yu Chen Author-X-Name-First: Ting-Yu Author-X-Name-Last: Chen Title: Experimental analysis of multi-attribute decision-making based on Atanassov intuitionistic fuzzy sets: a discussion of anchor dependency and accuracy functions Abstract: This article presents a useful method for relating anchor dependency and accuracy functions to multiple attribute decision-making (MADM) problems in the context of Atanassov intuitionistic fuzzy sets (A-IFSs). Considering anchored judgement with displaced ideals and solution precision with minimal hesitation, several auxiliary optimisation models have proposed to obtain the optimal weights of the attributes and to acquire the corresponding TOPSIS (the technique for order preference by similarity to the ideal solution) index for alternative rankings. Aside from the TOPSIS index, as a decision-maker's personal characteristics and own perception of self may also influence the direction in the axiom of choice, the evaluation of alternatives is conducted based on distances of each alternative from the positive and negative ideal alternatives, respectively. This article originates from Li's [Li, D.-F. (2005), ‘Multiattribute Decision Making Models and Methods Using Intuitionistic Fuzzy Sets’, Journal of Computer and System Sciences, 70, 73–85] work, which is a seminal study of intuitionistic fuzzy decision analysis using deduced auxiliary programming models, and deems it a benchmark method for comparative studies on anchor dependency and accuracy functions. The feasibility and effectiveness of the proposed methods are illustrated by a numerical example. Finally, a comparative analysis is illustrated with computational experiments on averaging accuracy functions, TOPSIS indices, separation measures from positive and negative ideal alternatives, consistency rates of ranking orders, contradiction rates of the top alternative and average Spearman correlation coefficients. Journal: International Journal of Systems Science Pages: 1077-1103 Issue: 6 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.543486 File-URL: http://hdl.handle.net/10.1080/00207721.2010.543486 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:6:p:1077-1103 Template-Type: ReDIF-Article 1.0 Author-Name: T. Periasamy Author-X-Name-First: T. Author-X-Name-Last: Periasamy Author-Name: T. Asokan Author-X-Name-First: T. Author-X-Name-Last: Asokan Author-Name: M. Singaperumal Author-X-Name-First: M. Author-X-Name-Last: Singaperumal Title: Investigations on the dynamic coupling in AUV-manipulator system and the manipulator trajectory errors using bond graph method Abstract: This article presents the modelling and simulation of the dynamic coupling in an autonomous underwater vehicle (AUV)-manipulator system, used for subsea intervention tasks. Bond graph, a powerful tool in multi-domain dynamic system modelling, is used for the first time to model the coupled dynamics of the AUV-manipulator system. This method enables the development of the system model in a modular form by creating sub-system models and connecting these models together at energy interactions ports, thus overcoming many of the computational difficulties encountered in conventional modelling methods. The effects of gravity, buoyancy, added mass and fluid drag on the dynamics of a 3 degrees of freedom (DoF) manipulator mounted on a 6 DoF AUV are analysed. The manipulator trajectory errors due to the interaction forces and moments between the vehicle and the manipulator have also been investigated and the results are presented. The dynamic model predicts the reaction forces on the vehicle under various operating conditions of the manipulator and their influence on the manipulator trajectory. The percentage errors of manipulator tip trajectory for different initial configurations and operating conditions are analysed. The estimation of resulting errors in the manipulator path due to dynamic coupling effect on the manipulator trajectory helps in the design of suitable trajectory controller for the system. Cartesian space transpose Jacobian controller for trajectory control of manipulator has been implemented and results are presented. Journal: International Journal of Systems Science Pages: 1104-1122 Issue: 6 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.543488 File-URL: http://hdl.handle.net/10.1080/00207721.2010.543488 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:6:p:1104-1122 Template-Type: ReDIF-Article 1.0 Author-Name: Ruey Yeh Author-X-Name-First: Ruey Author-X-Name-Last: Yeh Author-Name: Yi-Fang Lin Author-X-Name-First: Yi-Fang Author-X-Name-Last: Lin Title: Optimal pricing policies for services with consideration of facility maintenance costs Abstract: For survival and success, pricing is an essential issue for service firms. This article deals with the pricing strategies for services with substantial facility maintenance costs. For this purpose, a mathematical framework that incorporates service demand and facility deterioration is proposed to address the problem. The facility and customers constitute a service system driven by Poisson arrivals and exponential service times. A service demand with increasing price elasticity and a facility lifetime with strictly increasing failure rate are also adopted in modelling. By examining the bidirectional relationship between customer demand and facility deterioration in the profit model, the pricing policies of the service are investigated. Then analytical conditions of customer demand and facility lifetime are derived to achieve a unique optimal pricing policy. The comparative statics properties of the optimal policy are also explored. Finally, numerical examples are presented to illustrate the effects of parameter variations on the optimal pricing policy. Journal: International Journal of Systems Science Pages: 1123-1132 Issue: 6 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.543489 File-URL: http://hdl.handle.net/10.1080/00207721.2010.543489 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:6:p:1123-1132 Template-Type: ReDIF-Article 1.0 Author-Name: Yi-Shao Huang Author-X-Name-First: Yi-Shao Author-X-Name-Last: Huang Author-Name: Xiaoxin Chen Author-X-Name-First: Xiaoxin Author-X-Name-Last: Chen Author-Name: Shao-Wu Zhou Author-X-Name-First: Shao-Wu Author-X-Name-Last: Zhou Author-Name: Ling-Li Yu Author-X-Name-First: Ling-Li Author-X-Name-Last: Yu Author-Name: Zheng-Wu Wang Author-X-Name-First: Zheng-Wu Author-X-Name-Last: Wang Title: HGO-based decentralised indirect adaptive fuzzy control for a class of large-scale nonlinear systems Abstract: In this article, a novel high gain observer (HGO)-based decentralised indirect adaptive fuzzy controller is developed for a class of uncertain affine large-scale nonlinear systems. By the combination of fuzzy logic systems and an HGO, the state variables are not required to be measurable. The proposed feedback and adaptation mechanisms guarantee that each subsystem is able to adaptively compensate for interconnections and disturbances with unknown bounds. It is ascertained using a singular perturbation method that all the signals of the closed-loop large-scale system stand uniformly ultimately bounded and the tracking errors converge to tunable neighbourhoods of the origin. Simulation results of correlated double inverted pendulums substantiate the effectiveness of the proposed controller. Journal: International Journal of Systems Science Pages: 1133-1145 Issue: 6 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.545488 File-URL: http://hdl.handle.net/10.1080/00207721.2010.545488 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:6:p:1133-1145 Template-Type: ReDIF-Article 1.0 Author-Name: Chuen-Horng Lin Author-X-Name-First: Chuen-Horng Author-X-Name-Last: Lin Author-Name: Jau-Chuan Ke Author-X-Name-First: Jau-Chuan Author-X-Name-Last: Ke Author-Name: Hsin-I Huang Author-X-Name-First: Hsin-I Author-X-Name-Last: Huang Title: Reliability-based measures for a system with an uncertain parameter environment Abstract: This article proposes a procedure to construct membership functions of the system characteristics of a repairable system with one primary machine, one standby machine and an unreliable service station. Failure and repair times of both the operating and standby machines are assumed to follow fuzzified exponential distributions. In addition, the failure and repair times of the service station also follow fuzzified exponential distributions. The α-cut approach is used to extract a family of conventional crisp intervals for the desired system characteristics from the fuzzy repairable system, determined with a set of parametric nonlinear programs using their membership functions. A numerical example successfully illustrates the practicality of the proposed approach. Because system characteristics are governed by the membership functions, more information is provided for use by designers and practitioners. The successful extension of the parameter spaces to fuzzy environments permits the repairable system to have wider practical applications. Journal: International Journal of Systems Science Pages: 1146-1156 Issue: 6 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.545489 File-URL: http://hdl.handle.net/10.1080/00207721.2010.545489 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:6:p:1146-1156 Template-Type: ReDIF-Article 1.0 Author-Name: Jing Deng Author-X-Name-First: Jing Author-X-Name-Last: Deng Author-Name: Kang Li Author-X-Name-First: Kang Author-X-Name-Last: Li Author-Name: George Irwin Author-X-Name-First: George Author-X-Name-Last: Irwin Title: Locally regularised two-stage learning algorithm for RBF network centre selection Abstract: Nonlinear system models constructed from radial basis function (RBF) networks can easily be over-fitted due to the noise on the data. While information criteria, such as the final prediction error (FPE), can provide a trade-off between training error and network complexity, the tunable parameters that penalise a large size of network model are hard to determine and are usually application dependent. This article introduces a new locally regularised, two-stage stepwise construction algorithm for RBF networks. The main objective is to produce a parsimonious network that generalises well over unseen data. This is achieved by utilising Bayesian learning within a two-stage stepwise construction procedure to penalise centres that are mainly interpreted by the noise. Specifically, each output layer weight is assigned a hyperparameter, a large value of such a parameter forcing the associated output layer weight to be near to zero. Sparsity is achieved by removing irrelevant RBF centres from the network. The efficacy of proposed algorithm from the original two-stage construction method is retained. Numerical analysis shows that this new method only needs about half of the computation involved in the locally regularised orthogonal least squares (LROLS) alternative. Results from two simulation examples are presented to show that the nonlinear system models resulting from this new approach are superior in terms of both sparsity and generalisation capability. Journal: International Journal of Systems Science Pages: 1157-1170 Issue: 6 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.545490 File-URL: http://hdl.handle.net/10.1080/00207721.2010.545490 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:6:p:1157-1170 Template-Type: ReDIF-Article 1.0 Author-Name: M.M. Hosseini Author-X-Name-First: M.M. Author-X-Name-Last: Hosseini Author-Name: Syed Mohyud-Din Author-X-Name-First: Syed Author-X-Name-Last: Mohyud-Din Author-Name: A. Nakhaeei Author-X-Name-First: A. Author-X-Name-Last: Nakhaeei Title: New Rothe-wavelet method for solving telegraph equations Abstract: In this article, we present a new competitive scheme to solve one of the most important cases in hyperbolic partial differential equations which is called telegraph equations. This method is based on Rothe's approximation in time discretisation and on the wavelet-Galerkin in the spatial discretisation. For comparison of wavelets, we use sin–cos, Legendre and Daubechies wavelets as basis in projection methods. For showing efficiency of method, a numerical experiment, for which the exact solution is known, is considered. Journal: International Journal of Systems Science Pages: 1171-1176 Issue: 6 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.547626 File-URL: http://hdl.handle.net/10.1080/00207721.2010.547626 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:6:p:1171-1176 Template-Type: ReDIF-Article 1.0 Author-Name: Sofiane Doudou Author-X-Name-First: Sofiane Author-X-Name-Last: Doudou Author-Name: Farid Khaber Author-X-Name-First: Farid Author-X-Name-Last: Khaber Title: Direct adaptive fuzzy control of a class of MIMO non-affine nonlinear systems Abstract: An adaptive fuzzy control approach is proposed for a class of multiple-input–multiple-output (MIMO) nonlinear systems with completely unknown non-affine functions. The global implicit function theorem is first used to prove the existence of an unknown ideal implicit controller that can achieve the control objectives. Within this scheme, fuzzy systems are employed the approximate the unknown ideal implicit controller, and robustifying control terms are used to compensate the approximation errors and external disturbances. The adjustable parameters of the used fuzzy systems are deduced from the stability analysis of the closed-loop system in the sense of Lyapunov. To show the efficiency of the proposed controllers, two simulation examples are presented. Journal: International Journal of Systems Science Pages: 1029-1038 Issue: 6 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.547631 File-URL: http://hdl.handle.net/10.1080/00207721.2010.547631 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:6:p:1029-1038 Template-Type: ReDIF-Article 1.0 Author-Name: İ.Ö. Bucak Author-X-Name-First: İ.Ö. Author-X-Name-Last: Bucak Author-Name: H.R. Öz Author-X-Name-First: H.R. Author-X-Name-Last: Öz Title: Vibration control of a nonlinear quarter-car active suspension system by reinforcement learning Abstract: This article presents the investigation of performance of a nonlinear quarter-car active suspension system with a stochastic real-valued reinforcement learning control strategy. As an example, a model of a quarter car with a nonlinear suspension spring subjected to excitation from a road profile is considered. The excitation is realised by the roughness of the road. The quarter-car model to be considered here can be approximately described as a nonlinear two degrees of freedom system. The experimental results indicate that the proposed active suspension system suppresses the vibrations greatly. A simulation of a nonlinear quarter-car active suspension system is presented to demonstrate the effectiveness and examine the performance of the learning control algorithm. Journal: International Journal of Systems Science Pages: 1177-1190 Issue: 6 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.549576 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549576 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:6:p:1177-1190 Template-Type: ReDIF-Article 1.0 Author-Name: Wei Pan Author-X-Name-First: Wei Author-X-Name-Last: Pan Author-Name: Xianjia Wang Author-X-Name-First: Xianjia Author-X-Name-Last: Wang Author-Name: Yong-guang Zhong Author-X-Name-First: Yong-guang Author-X-Name-Last: Zhong Author-Name: Lean Yu Author-X-Name-First: Lean Author-X-Name-Last: Yu Author-Name: Cao Jie Author-X-Name-First: Cao Author-X-Name-Last: Jie Author-Name: Lun Ran Author-X-Name-First: Lun Author-X-Name-Last: Ran Author-Name: Han Qiao Author-X-Name-First: Han Author-X-Name-Last: Qiao Author-Name: Shouyang Wang Author-X-Name-First: Shouyang Author-X-Name-Last: Wang Author-Name: Xianhao Xu Author-X-Name-First: Xianhao Author-X-Name-Last: Xu Title: A fuzzy multi-objective model for capacity allocation and pricing policy of provider in data communication service with different QoS levels Abstract: Data communication service has an important influence on e-commerce. The key challenge for the users is, ultimately, to select a suitable provider. However, in this article, we do not focus on this aspect but the viewpoint and decision-making of providers for order allocation and pricing policy when orders exceed service capacity. It is a multiple criteria decision-making problem such as profit and cancellation ratio. Meanwhile, we know realistic situations in which much of the input information is uncertain. Thus, it becomes very complex in a real-life environment. In this situation, fuzzy sets theory is the best tool for solving this problem. Our fuzzy model is formulated in such a way as to simultaneously consider the imprecision of information, price sensitive demand, stochastic variables, cancellation fee and the general membership function. For solving the problem, a new fuzzy programming is developed. Finally, a numerical example is presented to illustrate the proposed method. The results show that it is effective for determining the suitable order set and pricing policy of provider in data communication service with different quality of service (QoS) levels. Journal: International Journal of Systems Science Pages: 1054-1063 Issue: 6 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.549581 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549581 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:6:p:1054-1063 Template-Type: ReDIF-Article 1.0 Author-Name: Zhaolin Li Author-X-Name-First: Zhaolin Author-X-Name-Last: Li Author-Name: Feng Tao Author-X-Name-First: Feng Author-X-Name-Last: Tao Author-Name: Daewon Sun Author-X-Name-First: Daewon Author-X-Name-Last: Sun Title: On jointly optimising the changes of seasonable goods and inventory replenishment Abstract: Retailers often need to replace soon-to-be-unseasonable products with new seasonable goods when the season changes. The trade-off for such activities involves choosing between the salvage loss of the unseasonable product and the profit of selling the seasonable product early. This article develops a periodic-review inventory model for planning the changes of seasonable goods with state-dependent demand and cost parameters. We show that the single-period optimal policy for product changes is a threshold policy based on the initial inventory of the unseasonable goods. The corresponding optimal inventory policy follows a Purchase-Keep-Dispose policy if the incumbent product is kept or a base-stock policy if the incumbent product is replaced. Numerically, we find that the structure of the multi-period optimal policy resembles that of the single-period model. We propose a heuristic to solve the multi-period model and demonstrate its effectiveness. Our research provides insights into dynamically managing seasonable goods. Journal: International Journal of Systems Science Pages: 1064-1076 Issue: 6 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.554912 File-URL: http://hdl.handle.net/10.1080/00207721.2011.554912 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:6:p:1064-1076 Template-Type: ReDIF-Article 1.0 Author-Name: Jie Min Author-X-Name-First: Jie Author-X-Name-Last: Min Author-Name: Yong-Wu Zhou Author-X-Name-First: Yong-Wu Author-X-Name-Last: Zhou Author-Name: Gui-Qing Liu Author-X-Name-First: Gui-Qing Author-X-Name-Last: Liu Author-Name: Sheng-Dong Wang Author-X-Name-First: Sheng-Dong Author-X-Name-Last: Wang Title: An EPQ model for deteriorating items with inventory-level-dependent demand and permissible delay in payments Abstract: This article develops an inventory model for exponentially deteriorating items under conditions of permissible delay in payments. Unlike the existing related models, we assume that the items are replenished at a finite rate and the demand rate of the items is dependent on the current inventory level. The objective is to determine the optimal replenishment policies in order to maximise the system's average profit per unit of time. A simple method is shown for finding the optimal solution of the model based on the derived properties of the objective function. In addition, we deduce some previously published results as the special cases of the model. Finally, numerical examples are used to illustrate the proposed model. Some managerial insights are also inferred from the sensitive analysis of model parameters. Journal: International Journal of Systems Science Pages: 1039-1053 Issue: 6 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2012.659685 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659685 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:6:p:1039-1053 Template-Type: ReDIF-Article 1.0 Author-Name: Lan Zhou Author-X-Name-First: Lan Author-X-Name-Last: Zhou Author-Name: Jinhua She Author-X-Name-First: Jinhua Author-X-Name-Last: She Title: Design of a robust output-feedback-based modified repetitive-control system Abstract: This paper concerns the problem of designing a robust output-feedback-based modified repetitive-control system for a class of strictly proper plants with periodic uncertainties. Exploiting the periodicity of repetitive control, a continuous-discrete two-dimensional (2D) model is built so that the control and learning actions can be adjusted preferentially by means of the control gains. The combination of the singular-value decomposition of the output matrix and the Lyapunov stability theory is used to derive a linear-matrix-inequality-(LMI-) based asymptotic stability condition. Two tuning parameters in the LMI regulate the choice of the parameters in the 2D control law and thereby enable the preferential adjustment of control and learning. A numerical example illustrates the tuning procedure and demonstrates the validity of the method. Journal: International Journal of Systems Science Pages: 808-817 Issue: 5 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.791002 File-URL: http://hdl.handle.net/10.1080/00207721.2013.791002 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:5:p:808-817 Template-Type: ReDIF-Article 1.0 Author-Name: Kazunori Sakurama Author-X-Name-First: Kazunori Author-X-Name-Last: Sakurama Author-Name: Kazushi Nakano Author-X-Name-First: Kazushi Author-X-Name-Last: Nakano Title: Necessary and sufficient condition for average consensus of networked multi-agent systems with heterogeneous time delays Abstract: This paper deals with an average-consensus problem of networked multi-agent systems with heterogeneous time delays. First, a necessary and sufficient condition is derived for multi-agent systems to achieve average consensus. This condition is represented in the form of an algebraic condition by using the delay-transition and the delay-weighted Laplacians. Second, a performance criterion is introduced to evaluate multi-agent systems that do not achieve average consensus. The criterion is represented in terms of the norms with respect to the above Laplacians. These results imply that the introduced Laplacians play important roles in analysing multi-agent systems with heterogeneous time delays. The validity of the analysis results is demonstrated by simulations with six-agent systems. Journal: International Journal of Systems Science Pages: 818-830 Issue: 5 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.798442 File-URL: http://hdl.handle.net/10.1080/00207721.2013.798442 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:5:p:818-830 Template-Type: ReDIF-Article 1.0 Author-Name: Tao Li Author-X-Name-First: Tao Author-X-Name-Last: Li Author-Name: Wei Xing Zheng Author-X-Name-First: Wei Xing Author-X-Name-Last: Zheng Title: Networked-based generalised fault detection filtering for sensor faults Abstract: This paper is concerned with designing fault detection filters for networked control systems subject to limited communication capacity and a class of sensor stuck faults. By taking into account the communication limitations (e.g. measurement quantisation, signal transmission delays and data packet dropouts) and all possible sensor stuck faults, a unified mathematical model is first presented. Based on this framework, a full-order fault detection filter is designed such that the residual system is asymptotically stable with the prescribed attenuation level in the generalised H∞ sense. In order to further improve the detection performance, an optimisation algorithm is proposed to minimise the threshold. Finally, a spring-mass-damper system is utilised to show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 831-840 Issue: 5 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.798443 File-URL: http://hdl.handle.net/10.1080/00207721.2013.798443 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:5:p:831-840 Template-Type: ReDIF-Article 1.0 Author-Name: Wei Wang Author-X-Name-First: Wei Author-X-Name-Last: Wang Author-Name: Chunyan Han Author-X-Name-First: Chunyan Author-X-Name-Last: Han Author-Name: Hongguo Zhao Author-X-Name-First: Hongguo Author-X-Name-Last: Zhao Title: Risk-sensitive filtering for discrete-time systems with time-varying delay Abstract: In this paper, the risk-sensitive filtering problem with time-varying delay is investigated. The problem is transformed into Krein space as an equivalent optimisation problem. The observations with time-varying delays are restructured as ones with multiple constant delays by defining a binary variable model with respect to the arrival process of observations, containing the same state information as the original. Finally, the reorganised innovation analysis approach in Krein space allows the solution to the proposed risk-sensitive filtering in terms of the solutions to Riccati and matrix difference equations. Journal: International Journal of Systems Science Pages: 841-856 Issue: 5 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.798444 File-URL: http://hdl.handle.net/10.1080/00207721.2013.798444 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:5:p:841-856 Template-Type: ReDIF-Article 1.0 Author-Name: Deyuan Meng Author-X-Name-First: Deyuan Author-X-Name-Last: Meng Author-Name: Yingmin Jia Author-X-Name-First: Yingmin Author-X-Name-Last: Jia Author-Name: Junping Du Author-X-Name-First: Junping Author-X-Name-Last: Du Title: Robust iterative learning protocols for finite-time consensus of multi-agent systems with interval uncertain topologies Abstract: This paper is devoted to the robust finite-time output consensus problems of multi-agent systems under directed graphs, where all agents and their communication topologies are subject to interval uncertainties. Distributed protocols are constructed by using iterative learning control (ILC) algorithms, where information is exchanged only at the end of one iteration and learning is used to update the control inputs after each iteration. It is proved that under ILC-based protocols, the finite-time consensus can be achieved with an increasing number of iterations if the communication network of agents is guaranteed to have a spanning tree. Moreover, if the information of any desired terminal output is available to a portion (not necessarily all) of the agents, then the consensus output that all agents finally reach can be enabled to be the desired terminal output. It is also proved that for all ILC-based protocols, gain selections can be provided in terms of bound values, and consensus conditions can be developed associated with bound matrices. Simulation results are given to demonstrate the effectiveness of our theoretical results. Journal: International Journal of Systems Science Pages: 857-871 Issue: 5 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.798445 File-URL: http://hdl.handle.net/10.1080/00207721.2013.798445 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:5:p:857-871 Template-Type: ReDIF-Article 1.0 Author-Name: Christoph H. Glock Author-X-Name-First: Christoph H. Author-X-Name-Last: Glock Author-Name: Jörg M. Ries Author-X-Name-First: Jörg M. Author-X-Name-Last: Ries Author-Name: Kurt Schwindl Author-X-Name-First: Kurt Author-X-Name-Last: Schwindl Title: Ordering policy for stock-dependent demand rate under progressive payment scheme: a comment Abstract: In a recent paper,  Soni and Shah developed a model for finding the optimal ordering policy for a retailer facing stock-dependent demand and a supplier offering a progressive payment scheme. In this comment, we correct several errors in the formulation of the models of Soni and Shah and modify some assumptions to increase the model's applicability. Numerical examples illustrate the benefits of our modifications. Journal: International Journal of Systems Science Pages: 872-877 Issue: 5 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.798446 File-URL: http://hdl.handle.net/10.1080/00207721.2013.798446 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:5:p:872-877 Template-Type: ReDIF-Article 1.0 Author-Name: Fausto Pedro García Márquez Author-X-Name-First: Fausto Pedro García Author-X-Name-Last: Márquez Author-Name: Diego J. Pedregal Author-X-Name-First: Diego J. Author-X-Name-Last: Pedregal Author-Name: Clive Roberts Author-X-Name-First: Clive Author-X-Name-Last: Roberts Title: New methods for the condition monitoring of level crossings Abstract: Level crossings represent a high risk for railway systems. This paper demonstrates the potential to improve maintenance management through the use of intelligent condition monitoring coupled with reliability centred maintenance (RCM). RCM combines advanced electronics, control, computing and communication technologies to address the multiple objectives of cost effectiveness, improved quality, reliability and services. RCM collects digital and analogue signals utilising distributed transducers connected to either point-to-point or digital bus communication links. Assets in many industries use data logging capable of providing post-failure diagnostic support, but to date little use has been made of combined qualitative and quantitative fault detection techniques. The research takes the hydraulic railway level crossing barrier (LCB) system as a case study and develops a generic strategy for failure analysis, data acquisition and incipient fault detection. For each barrier the hydraulic characteristics, the motor's current and voltage, hydraulic pressure and the barrier's position are acquired. In order to acquire the data at a central point efficiently, without errors, a distributed single-cable Fieldbus is utilised. This allows the connection of all sensors through the project's proprietary communication nodes to a high-speed bus. The system developed in this paper for the condition monitoring described above detects faults by means of comparing what can be considered a ‘normal’ or ‘expected’ shape of a signal with respect to the actual shape observed as new data become available. ARIMA (autoregressive integrated moving average) models were employed for detecting faults. The statistical tests known as Jarque–Bera and Ljung–Box have been considered for testing the model. Journal: International Journal of Systems Science Pages: 878-884 Issue: 5 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.801090 File-URL: http://hdl.handle.net/10.1080/00207721.2013.801090 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:5:p:878-884 Template-Type: ReDIF-Article 1.0 Author-Name: Shanwei Su Author-X-Name-First: Shanwei Author-X-Name-Last: Su Author-Name: Yan Lin Author-X-Name-First: Yan Author-X-Name-Last: Lin Title: Output tracking control for a velocity-sensorless VTOL aircraft with measurement delays Abstract: In this paper, we develop a non-linear controller to achieve output tracking for a velocity-sensorless vertical take-off and landing (VTOL) aircraft in the presence of measurement delays. By applying the Pade approximation technique, the original controlled system is transformed into an augmented dimension system without any time delay. After constructing full-order observers, error coordinate transformation, and system decomposition, the tracking problem of the newly transformed system is changed into the stabilisation problem of two non-minimum phase subsystems and one minimum phase subsystem. The resulting controller not only forces the VTOL aircraft to asymptotically track the desired trajectories, but also drives the unstable internal dynamics, which stands for the non-minimum property of VTOL aircraft, to follow the causal ideal internal dynamics (IID) solved via the stable system centre (SSC) method. Numerical simulation results illustrate the effectiveness of the proposed controller. Journal: International Journal of Systems Science Pages: 885-895 Issue: 5 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.801091 File-URL: http://hdl.handle.net/10.1080/00207721.2013.801091 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:5:p:885-895 Template-Type: ReDIF-Article 1.0 Author-Name: Waleed Al-Azzawi Author-X-Name-First: Waleed Author-X-Name-Last: Al-Azzawi Author-Name: Marwan Al-Akaidi Author-X-Name-First: Marwan Author-X-Name-Last: Al-Akaidi Title: Robust stability of solar-power wireless network control system with stochastic time delays based on -norm Abstract: In this paper, the robust stability analysis of solar wireless networked control systems (SWNCSs) with stochastic time delays and packet dropout is investigated. The robust model predictive controller (RMPC) technique for the SWNCS is discussed using the linear matrix inequality (LMI) technique. Based on the SWNCS model, the RMPC (a full state feedback controller) can be constructed by using the Lyapunov functional method. Both sensor-to-controller and controller-to-actuator time delays of the SWNCS are considered as stochastic variables controlled by a Markov chain. A discrete-time Markovian jump linear system (MJLS) with norm bounded time delay is presented to model the SWNCSs. Conditions for H∞-norm is used to evaluate stability and stabilization of the fundamental systems derived via LMIs formulation. Finally, an illustrative numerical example is given to demonstrate the effectiveness of the proposed techniques. Journal: International Journal of Systems Science Pages: 896-907 Issue: 5 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.801092 File-URL: http://hdl.handle.net/10.1080/00207721.2013.801092 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:5:p:896-907 Template-Type: ReDIF-Article 1.0 Author-Name: Junfeng Zhang Author-X-Name-First: Junfeng Author-X-Name-Last: Zhang Author-Name: Zhengzhi Han Author-X-Name-First: Zhengzhi Author-X-Name-Last: Han Author-Name: Jun Huang Author-X-Name-First: Jun Author-X-Name-Last: Huang Title: Global asymptotic stabilisation for switched planar systems Abstract: This paper studies the stabilisation problem of a class of switched planar systems. The present method is different from the existing one designing directly controllers for the underlying systems. The controllers are constructed through two steps. Firstly, by means of the backstepping approach, homogeneous controllers stabilising the nominal systems are obtained. Secondly, the controllers stabilising the planar subsystems are attained by modifying the obtained homogeneous controllers. The controllers depend on perturbations of the switched systems. Finally, by using the multiple Lyapunov functions approach, a sufficient condition of the stabilisation for switched planar systems is given. The conclusions are extended to multiple dimensional switched systems. An illustrative example verifies the validity of the design. Journal: International Journal of Systems Science Pages: 908-918 Issue: 5 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.801093 File-URL: http://hdl.handle.net/10.1080/00207721.2013.801093 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:5:p:908-918 Template-Type: ReDIF-Article 1.0 Author-Name: Tong Liu Author-X-Name-First: Tong Author-X-Name-Last: Liu Author-Name: Liang Hu Author-X-Name-First: Liang Author-X-Name-Last: Hu Author-Name: Chao Ma Author-X-Name-First: Chao Author-X-Name-Last: Ma Author-Name: Zhi-Yan Wang Author-X-Name-First: Zhi-Yan Author-X-Name-Last: Wang Author-Name: Hui-Ling Chen Author-X-Name-First: Hui-Ling Author-X-Name-Last: Chen Title: A fast approach for detection of erythemato-squamous diseases based on extreme learning machine with maximum relevance minimum redundancy feature selection Abstract: In this paper, a novel hybrid method, which integrates an effective filter maximum relevance minimum redundancy (MRMR) and a fast classifier extreme learning machine (ELM), has been introduced for diagnosing erythemato-squamous (ES) diseases. In the proposed method, MRMR is employed as a feature selection tool for dimensionality reduction in order to further improve the diagnostic accuracy of the ELM classifier. The impact of the type of activation functions, the number of hidden neurons and the size of the feature subsets on the performance of ELM have been investigated in detail. The effectiveness of the proposed method has been rigorously evaluated against the ES disease dataset, a benchmark dataset, from UCI machine learning database in terms of classification accuracy. Experimental results have demonstrated that our method has achieved the best classification accuracy of 98.89% and an average accuracy of 98.55% via 10-fold cross-validation technique. The proposed method might serve as a new candidate of powerful methods for diagnosing ES diseases. Journal: International Journal of Systems Science Pages: 919-931 Issue: 5 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.801096 File-URL: http://hdl.handle.net/10.1080/00207721.2013.801096 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:5:p:919-931 Template-Type: ReDIF-Article 1.0 Author-Name: Mengjuan Cao Author-X-Name-First: Mengjuan Author-X-Name-Last: Cao Author-Name: Fucheng Liao Author-X-Name-First: Fucheng Author-X-Name-Last: Liao Title: Design of an optimal preview controller for linear discrete-time descriptor systems with state delay Abstract: In this paper, the linear discrete-time descriptor system with state delay is studied, and a design method for an optimal preview controller is proposed. First, by using the discrete lifting technique, the original system is transformed into a general descriptor system without state delay in form. Then, taking advantage of the first-order forward difference operator, we construct a descriptor augmented error system, including the state vectors of the lifted system, error vectors, and desired target signals. Rigorous mathematical proofs are given for the regularity, stabilisability, causal controllability, and causal observability of the descriptor augmented error system. Based on these, the optimal preview controller with preview feedforward compensation for the original system is obtained by using the standard optimal regulator theory of the descriptor system. The effectiveness of the proposed method is shown by numerical simulation. Journal: International Journal of Systems Science Pages: 932-943 Issue: 5 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.801097 File-URL: http://hdl.handle.net/10.1080/00207721.2013.801097 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:5:p:932-943 Template-Type: ReDIF-Article 1.0 Author-Name: Wenyong Duan Author-X-Name-First: Wenyong Author-X-Name-Last: Duan Author-Name: Baozhu Du Author-X-Name-First: Baozhu Author-X-Name-Last: Du Author-Name: Jing You Author-X-Name-First: Jing Author-X-Name-Last: You Author-Name: Yun Zou Author-X-Name-First: Yun Author-X-Name-Last: Zou Title: Improved robust stability criteria for a class of Lur'e systems with interval time-varying delays and sector-bounded nonlinearity Abstract: This paper is concerned with the absolute and robust stability for a class of neutral-type Lur'e systems with an interval time-varying delay and sector-bounded nonlinearity. By discretising the delay interval into two segmentations with an unequal width, new delay-dependent sufficient conditions for the absolute and robust stability of neutral-type Lur'e systems are proposed in terms of linear matrix inequalities (LMIs) by employing a modified Lyapunov-Krasovskii functional (LKF). These conditions reduce the conservativeness in computing the maximum allowed delay bounds (MADBs) in many cases. Finally, several standard numerical examples are presented to show the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 944-954 Issue: 5 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.822123 File-URL: http://hdl.handle.net/10.1080/00207721.2013.822123 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:5:p:944-954 Template-Type: ReDIF-Article 1.0 Author-Name: Toshio Yoshimura Author-X-Name-First: Toshio Author-X-Name-Last: Yoshimura Title: Design of a simplified adaptive fuzzy backstepping control for uncertain discrete-time nonlinear systems Abstract: This paper presents a simplified adaptive fuzzy backstepping control for uncertain discrete-time nonlinear systems. It is assumed that the systems are described by a discrete-time equation with nonlinear uncertainties to be viewed as the modelling errors and the unknown external disturbances, and the states are observed with measurement noises. To design the simplified adaptive fuzzy backstepping control, the modelling errors are approximated by using the fuzzy inference approach based on the extended single-input rule modules, and the estimates for the unmeasurable states and the adjustable parameters are derived by using the weighted and its simplified weighted least squares estimators. It is proved that the states are ultimately bounded, and the estimation errors remain in the vicinity of zero. The effectiveness of the proposed approach is indicated through the simulation experiment of a simple numerical system. Journal: International Journal of Systems Science Pages: 763-775 Issue: 5 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2014.973468 File-URL: http://hdl.handle.net/10.1080/00207721.2014.973468 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:5:p:763-775 Template-Type: ReDIF-Article 1.0 Author-Name: Jorge Vento Author-X-Name-First: Jorge Author-X-Name-Last: Vento Author-Name: Joaquim Blesa Author-X-Name-First: Joaquim Author-X-Name-Last: Blesa Author-Name: Vicenç Puig Author-X-Name-First: Vicenç Author-X-Name-Last: Puig Author-Name: Ramon Sarrate Author-X-Name-First: Ramon Author-X-Name-Last: Sarrate Title: Set-membership parity space hybrid system diagnosis Abstract: In this paper, diagnosis for hybrid systems using a parity space approach that considers model uncertainty is proposed. The hybrid diagnoser is composed of modules which carry out the mode recognition and diagnosis tasks interacting each other, since the diagnosis module adapts accordingly to the current hybrid system mode. Moreover, the methodology takes into account the unknown but bounded uncertainty in parameters and additive errors (including noise and discretisation errors) using a passive robust strategy based on the set-membership approach. An adaptive threshold that bounds the effect of model uncertainty in residuals is generated for residual evaluation using zonotopes, and the parity space approach is used to design a set of residuals for each mode. The proposed fault diagnosis approach for hybrid systems is illustrated on a piece of the Barcelona sewer network. Journal: International Journal of Systems Science Pages: 790-807 Issue: 5 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2014.977978 File-URL: http://hdl.handle.net/10.1080/00207721.2014.977978 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:5:p:790-807 Template-Type: ReDIF-Article 1.0 Author-Name: Yuzhu Guo Author-X-Name-First: Yuzhu Author-X-Name-Last: Guo Author-Name: L.Z. Guo Author-X-Name-First: L.Z. Author-X-Name-Last: Guo Author-Name: S.A. Billings Author-X-Name-First: S.A. Author-X-Name-Last: Billings Author-Name: Hua-Liang Wei Author-X-Name-First: Hua-Liang Author-X-Name-Last: Wei Title: An iterative orthogonal forward regression algorithm Abstract: A novel iterative learning algorithm is proposed to improve the classic Orthogonal Forward Regression (OFR) algorithm in an attempt to produce an optimal solution under a purely OFR framework without using any other auxiliary algorithms. The new algorithm searches for the optimal solution on a global solution space while maintaining the advantage of simplicity and computational efficiency. Both a theoretical analysis and simulations demonstrate the validity of the new algorithm. Journal: International Journal of Systems Science Pages: 776-789 Issue: 5 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2014.981237 File-URL: http://hdl.handle.net/10.1080/00207721.2014.981237 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:5:p:776-789 Template-Type: ReDIF-Article 1.0 Author-Name: Yugang Niu Author-X-Name-First: Yugang Author-X-Name-Last: Niu Author-Name: Daniel W.C. Ho Author-X-Name-First: Daniel W.C. Author-X-Name-Last: Ho Author-Name: C.W. Li Author-X-Name-First: C.W. Author-X-Name-Last: Li Title: filtering for uncertain stochastic systems subject to sensor nonlinearities Abstract: This work considers the filtering problem for uncertain stochastic systems subject to sensor nonlinearities. It may be seen from simulation results in this work that the traditional filtering method based on linear measurement may not provide a reliable solution to this problem due to the existence of the nonlinear characteristic of sensors. In the system under consideration, there exist time-varying parameter uncertainties, and state and external-disturbance-dependent noise. Robust filters are constructed for both continuous and discrete stochastic systems, such that the resultant filtering error systems are robustly stochastically stable with a prescribed H∞-disturbance attenuation performance. Finally, some simulation results with deterministic or stochastic disturbance signals are given to illustrate the proposed method. Journal: International Journal of Systems Science Pages: 737-749 Issue: 5 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003706894 File-URL: http://hdl.handle.net/10.1080/00207721003706894 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:737-749 Template-Type: ReDIF-Article 1.0 Author-Name: Lixian Zhang Author-X-Name-First: Lixian Author-X-Name-Last: Zhang Author-Name: Peng Shi Author-X-Name-First: Peng Author-X-Name-Last: Shi Title: filtering for a class of switched linear parameter varying systems Abstract: This article addresses the filtering problem for a class of discrete-time switched linear parameter varying systems under average dwell time switching. The stability result for general discrete-time switched systems with average dwell time is first presented. A mode-dependent full-order parameterised filter is then designed and the corresponding existence conditions of such filters are derived via LMI formulation. The desired filter gains and the admissible switching signals are obtained for a given system decay degree such that the resulting filter error system is exponentially stable and has a guaranteed H∞ performance. A numerical example is given to demonstrate the potential and effectiveness of the developed theoretical results. Journal: International Journal of Systems Science Pages: 781-788 Issue: 5 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003764158 File-URL: http://hdl.handle.net/10.1080/00207721003764158 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:781-788 Template-Type: ReDIF-Article 1.0 Author-Name: Hao Shen Author-X-Name-First: Hao Author-X-Name-Last: Shen Author-Name: Shengyuan Xu Author-X-Name-First: Shengyuan Author-X-Name-Last: Xu Author-Name: Jianping Zhou Author-X-Name-First: Jianping Author-X-Name-Last: Zhou Author-Name: Jinjun Lu Author-X-Name-First: Jinjun Author-X-Name-Last: Lu Title: Fuzzy filtering for nonlinear Markovian jump neutral systems Abstract: This article is concerned with the problem of H∞ filter design for nonlinear Markovian jump neutral systems through the Takagi–Sugeno fuzzy model approach. By using a novel Markovian switched Lyapunov functional, a delay-dependent bounded real lemma (BRL) is presented in terms of linear matrix inequalities. Based on the derived BRL, both normal H∞ filters and non-fragile H∞ filters are designed, which guarantee that the corresponding filtering error systems are stochastically stable with a specified H∞ performance level. A numerical example is given to demonstrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 767-780 Issue: 5 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003790351 File-URL: http://hdl.handle.net/10.1080/00207721003790351 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:767-780 Template-Type: ReDIF-Article 1.0 Author-Name: Yisha Liu Author-X-Name-First: Yisha Author-X-Name-Last: Liu Author-Name: Zidong Wang Author-X-Name-First: Zidong Author-X-Name-Last: Wang Author-Name: Wei Wang Author-X-Name-First: Wei Author-X-Name-Last: Wang Title: Reliable control for discrete uncertain time-delay systems with randomly occurring nonlinearities: the output feedback case Abstract: This article is concerned with the reliable H∞ output feedback control problem against actuator failures for a class of uncertain discrete time-delay systems with randomly occurred nonlinearities (RONs). The failures of actuators are quantified by a variable varying in a given interval. RONs are introduced to model a class of sector-like nonlinearities that occur in a probabilistic way according to a Bernoulli distributed white sequence with a known conditional probability. The time-varying delay is unknown with the given lower and upper bounds. Attention is focused on the analysis and design of an output feedback controller such that, for all possible actuator failures, RONs, time-delays as well as admissible parameter uncertainties, the closed-loop system is exponentially mean-square stable and also achieves a prescribed H∞ performance level. A linear matrix inequality approach is developed to solve the addressed problem. A numerical example is given to demonstrate the effectiveness of the proposed design approach. Journal: International Journal of Systems Science Pages: 809-820 Issue: 5 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.487950 File-URL: http://hdl.handle.net/10.1080/00207721.2010.487950 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:809-820 Template-Type: ReDIF-Article 1.0 Author-Name: Weiming Xiang Author-X-Name-First: Weiming Author-X-Name-Last: Xiang Author-Name: Jian Xiao Author-X-Name-First: Jian Author-X-Name-Last: Xiao Title: filtering for switched nonlinear systems under asynchronous switching Abstract: In this article, the H∞ filtering problem for switched nonlinear systems under synchronous and asynchronous switching is addressed. First, H∞ filtering under synchronous switching is investigated; however, the H∞ filtering performance cannot be guaranteed when there exists asynchronous switching, which is shown in a numerical example in this article. We then consider asynchronous case. At first the totally asynchronous switching is considered, then by the results of synchronous and totally asynchronous case, H∞ filtering under partially asynchronous switching is derived. Several numerical examples are given to illustrate the effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 751-765 Issue: 5 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.488763 File-URL: http://hdl.handle.net/10.1080/00207721.2010.488763 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:751-765 Template-Type: ReDIF-Article 1.0 Author-Name: M.D.S. Aliyu Author-X-Name-First: M.D.S. Author-X-Name-Last: Aliyu Author-Name: E.K. Boukas Author-X-Name-First: E.K. Author-X-Name-Last: Boukas Title: Extending nonlinear , optimisation to , spaces – part I: optimal control Abstract: In this article, we introduce, formulate and solve the W1,2, W1,∞ nonlinear optimal control problems as extensions of ℋ2, ℋ∞ optimal control problems, respectively. As these spaces contain less smooth functions, a larger number of problems could be solved in this framework, and by a suitable choice of weighting functions, additional design objectives could be achieved using the present formulation. Moreover, any solution of the W1, p, p = 2, ∞ problem, is automatically a solution of the corresponding ℋp-problem. Sufficient conditions for the solvability of the problems are given in terms of new Hamilton–Jacobi equations (HJEs). These new HJEs may also be easier to solve because of the additional degrees of freedom offered by the current norms. Both the state-feedback and output-feedback problems are discussed. The results are then specialised to linear systems, in which case the solutions are characterised in terms of new algebraic-Riccati equations. Journal: International Journal of Systems Science Pages: 889-906 Issue: 5 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.488764 File-URL: http://hdl.handle.net/10.1080/00207721.2010.488764 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:889-906 Template-Type: ReDIF-Article 1.0 Author-Name: M.D.S. Aliyu Author-X-Name-First: M.D.S. Author-X-Name-Last: Aliyu Author-Name: E.K. Boukas Author-X-Name-First: E.K. Author-X-Name-Last: Boukas Title: Extending nonlinear ℋ, ℋ optimisation to and spaces – part II: optimal estimation and ouput-feedback control Abstract: In this article, we introduce, formulate and solve the W1,2 and W1,∞ estimation problems. We propose proportional, proportional-derivative and proportional-integral (PI) filters for each problem, and we derive sufficient conditions for the existence of optimal filter gains in terms of new Hamilton–Jacobi–Bellman and Hamilton–Jacobi–Isaacs equations. The output-feedback W1,2 and W1,∞ control problems are also re-solved using the separation principle. We show that, by combining an optimal estimator with state-feedback control, a viable optimal output-feedback controller can be synthesised. Journal: International Journal of Systems Science Pages: 907-920 Issue: 5 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.488765 File-URL: http://hdl.handle.net/10.1080/00207721.2010.488765 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:907-920 Template-Type: ReDIF-Article 1.0 Author-Name: Hongyi Li Author-X-Name-First: Hongyi Author-X-Name-Last: Li Author-Name: Yulin Si Author-X-Name-First: Yulin Author-X-Name-Last: Si Author-Name: Ligang Wu Author-X-Name-First: Ligang Author-X-Name-Last: Wu Author-Name: Xiaoxiang Hu Author-X-Name-First: Xiaoxiang Author-X-Name-Last: Hu Author-Name: Huijun Gao Author-X-Name-First: Huijun Author-X-Name-Last: Gao Title: Guaranteed cost control with poles assignment for a flexible air-breathing hypersonic vehicle Abstract: This article investigates the problem of guaranteed cost control for a flexible air-breathing hypersonic vehicle (FAHV). The FAHV includes intricate coupling between the engine and flight dynamics as well as complex interplay between flexible and rigid modes, which results in an intractable system for the control design. A longitudinal model is adopted for control design due to the complexity of the vehicle. First, for a highly nonlinear and coupled FAHV, a linearised model is established around the trim condition, which includes the state of altitude, velocity, angle of attack, pitch angle and pitch rate, etc. Secondly, by using the Lyapunov approach, performance analysis is carried out for the resulting closed-loop FAHV system, whose criterion with respect to guaranteed performance cost and poles assignment is expressed in the framework of linear matrix inequalities (LMIs). The established criterion exhibits a kind of decoupling between the Lyapunov positive-definite matrices to be determined and the FAHV system matrices, which is enabled by the introduction of additional slack matrix variables. Thirdly, a convex optimisation problem with LMI constraints is formulated for designing an admissible controller, which guarantees a prescribed performance cost with the simultaneous consideration of poles assignment for the resulting closed-loop system. Finally, some simulation results are provided to show that the guaranteed cost controller could assign the poles into the desired regional and achieve excellent reference altitude and velocity tracking performance. Journal: International Journal of Systems Science Pages: 863-876 Issue: 5 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.494775 File-URL: http://hdl.handle.net/10.1080/00207721.2010.494775 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:863-876 Template-Type: ReDIF-Article 1.0 Author-Name: Mauricio Zapateiro Author-X-Name-First: Mauricio Author-X-Name-Last: Zapateiro Author-Name: Hamid Reza Karimi Author-X-Name-First: Hamid Reza Author-X-Name-Last: Karimi Author-Name: Ningsu Luo Author-X-Name-First: Ningsu Author-X-Name-Last: Luo Title: Semiactive vibration control of nonlinear structures through adaptive backstepping techniques with performance Abstract: This article presents a new approach to the vibration mitigation problem in structures subject to seismic motions. These kinds of structures are characterised by the uncertainties of the parameters that describe their dynamics, such as stiffness and damping coefficients. Moreover, the dampers used to mitigate the vibrations caused by earthquakes are usually nonlinear devices with frictional or hysteretic dynamics. We propose an adaptive backstepping controller to account for the uncertainties and the nonlinearities. The controller is formulated in such a way that it satisfies an H∞ performance. It is designed for a 10-storey building whose base is isolated with a frictional damper (passive device) and a magnetorheological damper (semiactive device). Controller performance is analysed through numerical simulations. Journal: International Journal of Systems Science Pages: 853-861 Issue: 5 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.502263 File-URL: http://hdl.handle.net/10.1080/00207721.2010.502263 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:853-861 Template-Type: ReDIF-Article 1.0 Author-Name: Francisco J. Bejarano Author-X-Name-First: Francisco J. Author-X-Name-Last: Bejarano Author-Name: Leonid Fridman Author-X-Name-First: Leonid Author-X-Name-Last: Fridman Title: State exact reconstruction for switched linear systems via a super-twisting algorithm Abstract: This article discusses the problem of state reconstruction synthesis for switched linear systems. Based only on the continuous output information, an observer is proposed ensuring the reconstruction of the entire state (continuous and discrete) in finite time. For the observer design an exact sliding mode differentiator is used, which allows the finite time convergence of the observer trajectories to the actual trajectories. The design scheme includes both cases: zero control input and nonzero control input. Simulations illustrate the effectiveness of the proposed observer. Journal: International Journal of Systems Science Pages: 717-724 Issue: 5 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.502264 File-URL: http://hdl.handle.net/10.1080/00207721.2010.502264 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:717-724 Template-Type: ReDIF-Article 1.0 Author-Name: Iliana M. Meza-Sánchez Author-X-Name-First: Iliana M. Author-X-Name-Last: Meza-Sánchez Author-Name: Luis T. Aguilar Author-X-Name-First: Luis T. Author-X-Name-Last: Aguilar Author-Name: Anton Shiriaev Author-X-Name-First: Anton Author-X-Name-Last: Shiriaev Author-Name: Leonid Freidovich Author-X-Name-First: Leonid Author-X-Name-Last: Freidovich Author-Name: Yury Orlov Author-X-Name-First: Yury Author-X-Name-Last: Orlov Title: Periodic motion planning and nonlinear ℋ tracking control of a 3-DOF underactuated helicopter Abstract: Nonlinear ℋ∞ synthesis is developed to solve the tracking control problem into a 3-DOF helicopter prototype. Planning of periodic motions under a virtual constraints approach is considered prior the controller design in order to achieve our goal. A local ℋ∞ controller is derived by means of a certain perturbation of the differential Riccati equations that appear while solving the corresponding ℋ∞ control problem for the linearised system. Stabilisability and detectability properties of the control system are thus ensured by the existence of the proper solutions of the unperturbed differential Riccati equations, and hence the proposed synthesis procedure obviates an extra verification work of these properties. Due to the nature of the approach, the resulting controller additionally yields the desired robustness properties against unknown but bounded external disturbances. Convergence and robustness of the proposed design are supported by simulation results. Journal: International Journal of Systems Science Pages: 829-838 Issue: 5 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.517874 File-URL: http://hdl.handle.net/10.1080/00207721.2010.517874 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:829-838 Template-Type: ReDIF-Article 1.0 Author-Name: Jorge Davila Author-X-Name-First: Jorge Author-X-Name-Last: Davila Author-Name: Alessandro Pisano Author-X-Name-First: Alessandro Author-X-Name-Last: Pisano Author-Name: Elio Usai Author-X-Name-First: Elio Author-X-Name-Last: Usai Title: Continuous and discrete state reconstruction for nonlinear switched systems via high-order sliding-mode observers Abstract: A class of nonlinear switched systems is studied, and a finite-time converging state observer is proposed. The observer strategy, based on the high-order sliding-mode approach, is able to reconstruct both the continuous and discrete states of the switched system based on output measurements and on the knowledge of the set of possible system's dynamics. All the ‘operating modes’ of the switched system are required to satisfy certain observability-like and boundedness restrictions. The observer provides a finite-time converging estimate and, after a switching of the active mode, it features an arbitrarily fast transient to recover the correct (continuous and discrete) state estimate. A numerical example illustrates the performance of the proposed observer. Journal: International Journal of Systems Science Pages: 725-735 Issue: 5 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.518254 File-URL: http://hdl.handle.net/10.1080/00207721.2010.518254 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:725-735 Template-Type: ReDIF-Article 1.0 Author-Name: Shuxia Ye Author-X-Name-First: Shuxia Author-X-Name-Last: Ye Author-Name: Weiqun Wang Author-X-Name-First: Weiqun Author-X-Name-Last: Wang Title: Stability analysis and stabilisation for a class of 2-D nonlinear discrete systems Abstract: This article is concerned with stability analysis and stabilisation problems for a class of two-dimensional (2-D) nonlinear discrete systems. First, the stability condition is derived for 2-D systems with nonlinearity by exploiting the Lyapunov method. Based on this result, a state feedback controller and an output feedback controller are designed to achieve stability for the closed-loop system. Next, H∞ controllers are given in terms of the linear matrix inequality (LMI). Finally, some numerical examples are used to illustrate the effectiveness of the results. Journal: International Journal of Systems Science Pages: 839-851 Issue: 5 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.518255 File-URL: http://hdl.handle.net/10.1080/00207721.2010.518255 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:839-851 Template-Type: ReDIF-Article 1.0 Author-Name: Michael V. Basin Author-X-Name-First: Michael V. Author-X-Name-Last: Basin Author-Name: Peng Shi Author-X-Name-First: Peng Author-X-Name-Last: Shi Author-Name: Dario Calderon-Alvarez Author-X-Name-First: Dario Author-X-Name-Last: Calderon-Alvarez Title: Central suboptimal control design for nonlinear polynomial systems Abstract: This article presents the central finite-dimensional H∞ regulator for nonlinear polynomial systems, which is suboptimal for a given threshold γ with respect to a modified Bolza–Meyer quadratic criterion including the attenuation control term with the opposite sign. In contrast to the previously obtained results, the article reduces the original H∞ control problem to the corresponding optimal H2 control problem, using this technique proposed in Doyle et al. [Doyle, J.C., Glover, K., Khargonekar, P.P., and Francis, B.A. (1989), ‘State-space Solutions to Standard H2 and H∞ Control Problems’, IEEE Transactions on Automatic Control, 34, 831–847]. This article yields the central suboptimal H∞ regulator for nonlinear polynomial systems in a closed finite-dimensional form, based on the optimal H2 regulator obtained in Basin and Calderon-Alvarez [Basin, M.V., and Calderon-Alvarez, D. (2008b), ‘Optimal Controller for Uncertain Stochastic Polynomial Systems’, Journal of the Franklin Institute, 345, 293–302]. Numerical simulations are conducted to verify performance of the designed central suboptimal regulator for nonlinear polynomial systems against the central suboptimal H∞ regulator available for the corresponding linearised system. Journal: International Journal of Systems Science Pages: 801-808 Issue: 5 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.543491 File-URL: http://hdl.handle.net/10.1080/00207721.2010.543491 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:801-808 Template-Type: ReDIF-Article 1.0 Author-Name: Michael V. Basin Author-X-Name-First: Michael V. Author-X-Name-Last: Basin Author-Name: Pedro Soto Author-X-Name-First: Pedro Author-X-Name-Last: Soto Author-Name: Dario Calderon-Alvarez Author-X-Name-First: Dario Author-X-Name-Last: Calderon-Alvarez Title: Central suboptimal controller design for linear time-varying systems with unknown parameters Abstract: This article presents the central finite-dimensional H∞ controller for linear time-varying systems with unknown parameters, that is suboptimal for a given threshold γ with respect to a modified Bolza–Meyer quadratic criterion including the attenuation control term with the opposite sign. In contrast to the previously obtained results, this article reduces the original H∞ controller problem to the corresponding H2 controller problem, using the technique proposed in Doyle et al. [Doyle, J.C., Glover, K., Khargonekar, P.P., and Francis, B.A. (1989), ‘State-space Solutions to Standard H2 and H Infinity Control Problems’, IEEE Transactions Automatic Control, 34, 831–847]. This article yields the central suboptimal H∞ controller for linear systems with unknown parameters in a closed finite-dimensional form, based on the corresponding H2 controller obtained in Basin and Calderon-Alvarez [Basin, M.V., and Calderon-Alvarez, D. (2008), ‘Optimal LQG Controller for Linear Systems with Unknown Parameters’, Journal of The Franklin Institute, 345, 293–302]. Numerical simulations are conducted to verify performance of the designed central suboptimal controller for uncertain linear systems with unknown parameters against the conventional central suboptimal H∞ controller for linear systems with exactly known parameter values. Journal: International Journal of Systems Science Pages: 709-716 Issue: 5 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.543492 File-URL: http://hdl.handle.net/10.1080/00207721.2010.543492 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:709-716 Template-Type: ReDIF-Article 1.0 Author-Name: Michael V. Basin Author-X-Name-First: Michael V. Author-X-Name-Last: Basin Author-Name: Santiago Elvira-Ceja Author-X-Name-First: Santiago Author-X-Name-Last: Elvira-Ceja Author-Name: Edgar N. Sanchez Author-X-Name-First: Edgar N. Author-X-Name-Last: Sanchez Title: Central suboptimal mean-square controller design for linear stochastic time-varying systems Abstract: This article designs the central finite-dimensional H∞ controller for linear stochastic time-varying systems with integral-quadratically bounded deterministic disturbances, that is suboptimal for a given threshold γ with respect to a modified Bolza–Meyer quadratic criterion including the attenuation control term with the opposite sign. In contrast to the previously obtained results, this article reduces the original H∞ controller problem to the corresponding optimal H2 controller problem, using the technique proposed in Doyle et al. (Doyle, J.C., Glover, K., Khargonekar, P.P., and Francis, B.A. (1989), ‘State-space Solutions to Standard H2 and H∞ Control Problems’, IEEE Transactions on Automatic Control, 34, 831–847). Numerical simulations are conducted to verify the performance of the designed controller for a linear stochastic system against the central suboptimal H∞ controller available for the corresponding deterministic system. Journal: International Journal of Systems Science Pages: 821-827 Issue: 5 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.543493 File-URL: http://hdl.handle.net/10.1080/00207721.2010.543493 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:821-827 Template-Type: ReDIF-Article 1.0 Author-Name: T. Senthilkumar Author-X-Name-First: T. Author-X-Name-Last: Senthilkumar Author-Name: P. Balasubramaniam Author-X-Name-First: P. Author-X-Name-Last: Balasubramaniam Title: Delay-dependent robust control for uncertain stochastic T–S fuzzy systems with time-varying state and input delays Abstract: In this article, the problem of delay-dependent robust H∞ control for uncertain stochastic Takagi–Sugeno fuzzy systems with time-varying state and input delays is investigated. The parameter uncertainties are assumed to be time-varying and norm bounded. Through construction of a new Lyapunov–Krasovskii functional, the delay-dependent robust H∞ control scheme is presented in terms of linear matrix inequalities (LMIs). By solving these LMIs, a desired fuzzy controller can be obtained. Finally, a numerical example is given to illustrate the effectiveness of the developed method. Journal: International Journal of Systems Science Pages: 877-887 Issue: 5 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.545493 File-URL: http://hdl.handle.net/10.1080/00207721.2010.545493 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:877-887 Template-Type: ReDIF-Article 1.0 Author-Name: Michael Basin Author-X-Name-First: Michael Author-X-Name-Last: Basin Author-Name: Peng Shi Author-X-Name-First: Peng Author-X-Name-Last: Shi Title: New advances in control and filtering for nonlinear systems Journal: International Journal of Systems Science Pages: 705-708 Issue: 5 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.546989 File-URL: http://hdl.handle.net/10.1080/00207721.2011.546989 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:705-708 Template-Type: ReDIF-Article 1.0 Author-Name: Chung Seop Jeong Author-X-Name-First: Chung Seop Author-X-Name-Last: Jeong Author-Name: Edwin Engin Yaz Author-X-Name-First: Edwin Author-X-Name-Last: Engin Yaz Author-Name: Yvonne Ilke Yaz Author-X-Name-First: Yvonne Author-X-Name-Last: Ilke Yaz Title: Lyapunov-based design of resilient mixed MSE-dissipative-type state observers for a class of nonlinear systems and general performance criteria Abstract: A class of continuous-time nonlinear system and measurement equations having locally incrementally conic nonlinearities and finite energy disturbances is considered. A Lyapunov-based resilient mixed mean square error (MSE)-dissipative-type state observer design approach is presented, which guarantees the satisfaction of MSE-type estimation error performance together with a variety of dissipative performance criteria ranging from H∞ to passivity of various types. Linear matrix inequalities are used in the feasibility study of the solution. Some simulation examples are included to illustrate and provide support to the effectiveness of the proposed design methodology. Journal: International Journal of Systems Science Pages: 789-800 Issue: 5 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.547634 File-URL: http://hdl.handle.net/10.1080/00207721.2010.547634 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:5:p:789-800 Template-Type: ReDIF-Article 1.0 Author-Name: Yi-You Hou Author-X-Name-First: Yi-You Author-X-Name-Last: Hou Title: Robust chaos synchronisation for a class of disturbed Rössler systems with multiple time-delays Abstract: This paper investigates the robust synchronisation problem for a class of Rössler systems with multiple time delays. Based on the proportional-integral switching surface, a sliding mode control (SMC) is derived to not only guarantee synchronisation between the master and slave Rössler systems with multiple time delays but also have a H∞ noise perturbation attenuation performance. The parameter matrix necessary for constructing both PI switching surface and the SMC can be easily solved by linear matrix inequality optimisation technique. The simulations results are presented to show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1909-1916 Issue: 11 Volume: 46 Year: 2015 Month: 8 X-DOI: 10.1080/00207721.2013.843212 File-URL: http://hdl.handle.net/10.1080/00207721.2013.843212 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:11:p:1909-1916 Template-Type: ReDIF-Article 1.0 Author-Name: Seyed Mojtaba Tabatabaeipour Author-X-Name-First: Seyed Mojtaba Author-X-Name-Last: Tabatabaeipour Title: Active fault detection and isolation of discrete-time linear time-varying systems: a set-membership approach Abstract: Active fault detection and isolation (AFDI) is used for detection and isolation of faults that are hidden in the normal operation because of a low excitation signal or due to the regulatory actions of the controller. In this paper, a new AFDI method based on set-membership approaches is proposed. In set-membership approaches, instead of a point-wise estimation of the states, a set-valued estimation of them is computed. If this set becomes empty the given model of the system is not consistent with the measurements. Therefore, the model is falsified. When more than one model of the system remains un-falsified, the AFDI method is used to generate an auxiliary signal that is injected into the system for detection and isolation of faults that remain otherwise hidden or non-isolated using passive FDI (PFDI) methods. Having the set-valued estimation of the states for each model, the proposed AFDI method finds an optimal input signal that guarantees FDI in a finite time horizon. The input signal is updated at each iteration in a decreasing receding horizon manner based on the set-valued estimation of the current states and un-falsified models at the current sample time. The problem is solved by a number of linear and quadratic programming problems, which result in a computationally efficient algorithm. The method is tested on a numerical example as well as on the pitch actuator of a benchmark wind turbine. Journal: International Journal of Systems Science Pages: 1917-1933 Issue: 11 Volume: 46 Year: 2015 Month: 8 X-DOI: 10.1080/00207721.2013.843213 File-URL: http://hdl.handle.net/10.1080/00207721.2013.843213 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:11:p:1917-1933 Template-Type: ReDIF-Article 1.0 Author-Name: Chenliang Wang Author-X-Name-First: Chenliang Author-X-Name-Last: Wang Author-Name: Yan Lin Author-X-Name-First: Yan Author-X-Name-Last: Lin Title: Robust adaptive neural control for a class of uncertain MIMO nonlinear systems Abstract: In this paper, a novel robust adaptive neural control scheme is proposed for a class of uncertain multi-input multi-output nonlinear systems. The proposed scheme has the following main features: (1) a kind of Hurwitz condition is introduced to handle the state-dependent control gain matrix and some assumptions in existing schemes are relaxed; (2) by introducing a novel matrix normalisation technique, it is shown that all bound restrictions imposed on the control gain matrix in existing schemes can be removed; (3) the singularity problem is avoided without any extra effort, which makes the control law quite simple. Besides, with the aid of the minimal learning parameter technique, only one parameter needs to be updated online regardless of the system input–output dimension and the number of neural network nodes. Simulation results are presented to illustrate the effectiveness of the proposed scheme. Journal: International Journal of Systems Science Pages: 1934-1943 Issue: 11 Volume: 46 Year: 2015 Month: 8 X-DOI: 10.1080/00207721.2013.843214 File-URL: http://hdl.handle.net/10.1080/00207721.2013.843214 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:11:p:1934-1943 Template-Type: ReDIF-Article 1.0 Author-Name: Jafar Rezaei Author-X-Name-First: Jafar Author-X-Name-Last: Rezaei Author-Name: Negin Salimi Author-X-Name-First: Negin Author-X-Name-Last: Salimi Title: Optimal ABC inventory classification using interval programming Abstract: Inventory classification is one of the most important activities in inventory management, whereby inventories are classified into three or more classes. Several inventory classifications have been proposed in the literature, almost all of which have two main shortcomings in common. That is, the previous methods mainly rely on an expert opinion to derive the importance of the classification criteria which results in subjective classification, and they need precise item parameters before implementing the classification. While the problem has been predominantly considered as a multi-criteria, we examine the problem from a different perspective, proposing a novel optimisation model for ABC inventory classification in the form of an interval programming problem. The proposed interval programming model has two important features compared to the existing methods: it provides optimal results instead of an expert-based classification and it does not require precise values of item parameters, which are not almost always available before classification. Finally, by illustrating the proposed classification model in the form of numerical example, conclusion and suggestions for future works are presented. Journal: International Journal of Systems Science Pages: 1944-1952 Issue: 11 Volume: 46 Year: 2015 Month: 8 X-DOI: 10.1080/00207721.2013.843215 File-URL: http://hdl.handle.net/10.1080/00207721.2013.843215 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:11:p:1944-1952 Template-Type: ReDIF-Article 1.0 Author-Name: Jun Shen Author-X-Name-First: Jun Author-X-Name-Last: Shen Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Title: On ℓ and gains for positive systems with bounded time-varying delays Abstract: This paper is devoted to the analysis of the ℓ∞ and L∞ gains for positive linear systems with interval time-varying delays. Through exploiting the monotonicity of the state trajectory, we first prove that for positive systems with constant delays, the ℓ∞ and L∞ gains are fully governed by the system matrices but independent of the delay size. Moreover, for positive systems with bounded time-varying delays, by comparing with the nominal systems with constant delays, it turns out that the ℓ∞ and L∞ gains are exactly the same as that of the constant delay systems. The results in this paper reveal that the ℓ∞ and L∞ gains of positive linear systems are not sensitive to the magnitude of time delays and hence the computation of ℓ∞ and L∞ gains of positive systems with bounded time-varying delays can be reduced to computing the ℓ∞ and L∞ gains of the corresponding delay-free systems. Both continuous-time and discrete-time cases are considered in this paper. Journal: International Journal of Systems Science Pages: 1953-1960 Issue: 11 Volume: 46 Year: 2015 Month: 8 X-DOI: 10.1080/00207721.2013.843217 File-URL: http://hdl.handle.net/10.1080/00207721.2013.843217 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:11:p:1953-1960 Template-Type: ReDIF-Article 1.0 Author-Name: Fenglan Sun Author-X-Name-First: Fenglan Author-X-Name-Last: Sun Author-Name: Wei Zhu Author-X-Name-First: Wei Author-X-Name-Last: Zhu Title: Finite-time consensus for heterogeneous multi-agent systems with mixed-order agents Abstract: This paper studies the finite-time consensus for heterogeneous multi-agent systems composed of mixed-order agents over fixed and switching topologies. The control protocol of each agent using local information is designed and the detailed analysis of the finite-time consensus for fixed and switching interaction topologies is presented. The design of the finite-time consensus protocol is based on graph theory, matrix theory, and LaSalle’s invariance principle. Both theoretical studies and simulation results show the effectiveness of the proposed method and the correctness of the obtained theoretical results. Journal: International Journal of Systems Science Pages: 1961-1970 Issue: 11 Volume: 46 Year: 2015 Month: 8 X-DOI: 10.1080/00207721.2013.843732 File-URL: http://hdl.handle.net/10.1080/00207721.2013.843732 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:11:p:1961-1970 Template-Type: ReDIF-Article 1.0 Author-Name: Isabel Jurado Author-X-Name-First: Isabel Author-X-Name-Last: Jurado Author-Name: Manuel G. Ortega Author-X-Name-First: Manuel G. Author-X-Name-Last: Ortega Author-Name: Daniel E. Quevedo Author-X-Name-First: Daniel E. Author-X-Name-Last: Quevedo Author-Name: Francisco R. Rubio Author-X-Name-First: Francisco R. Author-X-Name-Last: Rubio Title: An suboptimal robust control approach for systems with uncertainties and data dropouts Abstract: This paper studies the design of control systems subject to plant uncertainties and data losses in the channel connecting the plant sensor with the controller. The controller design has two main objectives. The first one is to robustify the control law against plant uncertainties. The other one is to achieve good performance by minimising the variance of the error signal. Data losses are modelled as an independent and identically distributed sequence of Bernoulli random variables. For analysis and design, this random variable is replaced by an additive noise plus gain channel model. To cope with structural uncertainties in the model of the plant, an H∞ control technique is employed. The controller is synthesised in order to make the closed-loop system robust against structural uncertainties of the nominal model, while achieving optimal performance of the system in the presence of dropouts. Journal: International Journal of Systems Science Pages: 1971-1981 Issue: 11 Volume: 46 Year: 2015 Month: 8 X-DOI: 10.1080/00207721.2013.843733 File-URL: http://hdl.handle.net/10.1080/00207721.2013.843733 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:11:p:1971-1981 Template-Type: ReDIF-Article 1.0 Author-Name: Zexuan Zhu Author-X-Name-First: Zexuan Author-X-Name-Last: Zhu Author-Name: Fangxiao Wang Author-X-Name-First: Fangxiao Author-X-Name-Last: Wang Author-Name: Shan He Author-X-Name-First: Shan Author-X-Name-Last: He Author-Name: Yiwen Sun Author-X-Name-First: Yiwen Author-X-Name-Last: Sun Title: Global path planning of mobile robots using a memetic algorithm Abstract: In this paper, a memetic algorithm for global path planning (MAGPP) of mobile robots is proposed. MAGPP is a synergy of genetic algorithm (GA) based global path planning and a local path refinement. Particularly, candidate path solutions are represented as GA individuals and evolved with evolutionary operators. In each GA generation, the local path refinement is applied to the GA individuals to rectify and improve the paths encoded. MAGPP is characterised by a flexible path encoding scheme, which is introduced to encode the obstacles bypassed by a path. Both path length and smoothness are considered as fitness evaluation criteria. MAGPP is tested on simulated maps and compared with other counterpart algorithms. The experimental results demonstrate the efficiency of MAGPP and it is shown to obtain better solutions than the other compared algorithms. Journal: International Journal of Systems Science Pages: 1982-1993 Issue: 11 Volume: 46 Year: 2015 Month: 8 X-DOI: 10.1080/00207721.2013.843735 File-URL: http://hdl.handle.net/10.1080/00207721.2013.843735 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:11:p:1982-1993 Template-Type: ReDIF-Article 1.0 Author-Name: Danyu Bai Author-X-Name-First: Danyu Author-X-Name-Last: Bai Title: Asymptotic analysis of online algorithms and improved scheme for the flow shop scheduling problem with release dates Abstract: This paper discusses the flow shop scheduling problem to minimise the total quadratic completion time (TQCT) with release dates in offline and online environments. For this NP-hard problem, the investigation is focused on the performance of two online algorithms based on the Shortest Processing Time among Available jobs rule. Theoretical results indicate the asymptotic optimality of the algorithms as the problem scale is sufficiently large. To further enhance the quality of the original solutions, the improvement scheme is provided for these algorithms. A new lower bound with performance guarantee is provided, and computational experiments show the effectiveness of these heuristics. Moreover, several results of the single-machine TQCT problem with release dates are also obtained for the deduction of the main theorem. Journal: International Journal of Systems Science Pages: 1994-2005 Issue: 11 Volume: 46 Year: 2015 Month: 8 X-DOI: 10.1080/00207721.2013.843736 File-URL: http://hdl.handle.net/10.1080/00207721.2013.843736 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:11:p:1994-2005 Template-Type: ReDIF-Article 1.0 Author-Name: Patrícia Helena Moraes Rêgo Author-X-Name-First: Patrícia Helena Moraes Author-X-Name-Last: Rêgo Author-Name: João Viana da Fonseca Neto Author-X-Name-First: João Viana da Fonseca Author-X-Name-Last: Neto Author-Name: Ernesto M. Ferreira Author-X-Name-First: Ernesto M. Author-X-Name-Last: Ferreira Title: Convergence of the standard RLS method and factorisation of covariance matrix for solving the algebraic Riccati equation of the DLQR via heuristic approximate dynamic programming Abstract: The main focus of this article is to present a proposal to solve, via UDUT factorisation, the convergence and numerical stability problems that are related to the covariance matrix ill-conditioning of the recursive least squares (RLS) approach for online approximations of the algebraic Riccati equation (ARE) solution associated with the discrete linear quadratic regulator (DLQR) problem formulated in the actor–critic reinforcement learning and approximate dynamic programming context. The parameterisations of the Bellman equation, utility function and dynamic system as well as the algebra of Kronecker product assemble a framework for the solution of the DLQR problem. The condition number and the positivity parameter of the covariance matrix are associated with statistical metrics for evaluating the approximation performance of the ARE solution via RLS-based estimators. The performance of RLS approximators is also evaluated in terms of consistence and polarisation when associated with reinforcement learning methods. The used methodology contemplates realisations of online designs for DLQR controllers that is evaluated in a multivariable dynamic system model. Journal: International Journal of Systems Science Pages: 2006-2028 Issue: 11 Volume: 46 Year: 2015 Month: 8 X-DOI: 10.1080/00207721.2013.844283 File-URL: http://hdl.handle.net/10.1080/00207721.2013.844283 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:11:p:2006-2028 Template-Type: ReDIF-Article 1.0 Author-Name: Kun Deng Author-X-Name-First: Kun Author-X-Name-Last: Deng Author-Name: Dayu Huang Author-X-Name-First: Dayu Author-X-Name-Last: Huang Title: Optimal Kullback–Leibler approximation of Markov chains via nuclear norm regularisation Abstract: This paper is concerned with model reduction for Markov chain models. The goal is to obtain a low-rank approximation to the original Markov chain. The Kullback–Leibler divergence rate is used to measure the similarity between two Markov chains; the nuclear norm is used to approximate the rank function. A nuclear-norm regularised optimisation problem is formulated to approximately find the optimal low-rank approximation. The proposed regularised problem is analysed and performance bounds are obtained through the convex analysis. An iterative fixed point algorithm is developed based on the proximal splitting technique to compute the optimal solutions. The effectiveness of this approach is illustrated via numerical examples. Journal: International Journal of Systems Science Pages: 2029-2047 Issue: 11 Volume: 46 Year: 2015 Month: 8 X-DOI: 10.1080/00207721.2013.844284 File-URL: http://hdl.handle.net/10.1080/00207721.2013.844284 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:11:p:2029-2047 Template-Type: ReDIF-Article 1.0 Author-Name: Ali Ebrahimnejad Author-X-Name-First: Ali Author-X-Name-Last: Ebrahimnejad Title: A duality approach for solving bounded linear programming problems with fuzzy variables based on ranking functions and its application in bounded transportation problems Abstract: There are several methods, in the literature, for solving fuzzy variable linear programming problems (fuzzy linear programming in which the right-hand-side vectors and decision variables are represented by trapezoidal fuzzy numbers). In this paper, the shortcomings of some existing methods are pointed out and to overcome these shortcomings a new method based on the bounded dual simplex method is proposed to determine the fuzzy optimal solution of that kind of fuzzy variable linear programming problems in which some or all variables are restricted to lie within lower and upper bounds. To illustrate the proposed method, an application example is solved and the obtained results are given. The advantages of the proposed method over existing methods are discussed. Also, one application of this algorithm in solving bounded transportation problems with fuzzy supplies and demands is dealt with. The proposed method is easy to understand and to apply for determining the fuzzy optimal solution of bounded fuzzy variable linear programming problems occurring in real-life situations. Journal: International Journal of Systems Science Pages: 2048-2060 Issue: 11 Volume: 46 Year: 2015 Month: 8 X-DOI: 10.1080/00207721.2013.844285 File-URL: http://hdl.handle.net/10.1080/00207721.2013.844285 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:11:p:2048-2060 Template-Type: ReDIF-Article 1.0 Author-Name: Yunru Zhu Author-X-Name-First: Yunru Author-X-Name-Last: Zhu Author-Name: Yuanshi Zheng Author-X-Name-First: Yuanshi Author-X-Name-Last: Zheng Author-Name: Long Wang Author-X-Name-First: Long Author-X-Name-Last: Wang Title: Quantised consensus of multi-agent systems with nonlinear dynamics Abstract: This paper studies the consensus problem of first-order and second-order multi-agent systems with nonlinear dynamics and quantised interactions. Continuous-time and impulsive control inputs are designed for the multi-agent systems on the logarithmic quantised relative state measurements of agents, respectively. By using nonsmooth analysis tools, we get some sufficient conditions for the consensus of multi-agent systems under the continuous-time inputs. Compared with continuous-time control inputs, impulsive distributed control inputs just use the state variables of the systems at discrete-time instances. Based on impulsive control theory, we prove that the multi-agent systems can reach consensus by choosing proper control gains and impulsive intervals. The simulation results are given to verify the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 2061-2071 Issue: 11 Volume: 46 Year: 2015 Month: 8 X-DOI: 10.1080/00207721.2013.849770 File-URL: http://hdl.handle.net/10.1080/00207721.2013.849770 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:11:p:2061-2071 Template-Type: ReDIF-Article 1.0 Author-Name: Hui Li Author-X-Name-First: Hui Author-X-Name-Last: Li Author-Name: Lu-Yao Hong Author-X-Name-First: Lu-Yao Author-X-Name-Last: Hong Author-Name: Qing Zhou Author-X-Name-First: Qing Author-X-Name-Last: Zhou Author-Name: Hai-Jie Yu Author-X-Name-First: Hai-Jie Author-X-Name-Last: Yu Title: The assisted prediction modelling frame with hybridisation and ensemble for business risk forecasting and an implementation Abstract: The business failure of numerous companies results in financial crises. The high social costs associated with such crises have made people to search for effective tools for business risk prediction, among which, support vector machine is very effective. Several modelling means, including single-technique modelling, hybrid modelling, and ensemble modelling, have been suggested in forecasting business risk with support vector machine. However, existing literature seldom focuses on the general modelling frame for business risk prediction, and seldom investigates performance differences among different modelling means. We reviewed researches on forecasting business risk with support vector machine, proposed the general assisted prediction modelling frame with hybridisation and ensemble (APMF-WHAE), and finally, investigated the use of principal components analysis, support vector machine, random sampling, and group decision, under the general frame in forecasting business risk. Under the APMF-WHAE frame with support vector machine as the base predictive model, four specific predictive models were produced, namely, pure support vector machine, a hybrid support vector machine involved with principal components analysis, a support vector machine ensemble involved with random sampling and group decision, and an ensemble of hybrid support vector machine using group decision to integrate various hybrid support vector machines on variables produced from principle components analysis and samples from random sampling. The experimental results indicate that hybrid support vector machine and ensemble of hybrid support vector machines were able to produce dominating performance than pure support vector machine and support vector machine ensemble. Journal: International Journal of Systems Science Pages: 2072-2086 Issue: 11 Volume: 46 Year: 2015 Month: 8 X-DOI: 10.1080/00207721.2013.849771 File-URL: http://hdl.handle.net/10.1080/00207721.2013.849771 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:11:p:2072-2086 Template-Type: ReDIF-Article 1.0 Author-Name: Fei He Author-X-Name-First: Fei Author-X-Name-Last: He Author-Name: Hua-Liang Wei Author-X-Name-First: Hua-Liang Author-X-Name-Last: Wei Author-Name: Stephen A. Billings Author-X-Name-First: Stephen A. Author-X-Name-Last: Billings Title: Identification and frequency domain analysis of non-stationary and nonlinear systems using time-varying NARMAX models Abstract: This paper introduces a new approach for nonlinear and non-stationary (time-varying) system identification based on time-varying nonlinear autoregressive moving average with exogenous variable (TV-NARMAX) models. The challenging model structure selection and parameter tracking problems are solved by combining a multiwavelet basis function expansion of the time-varying parameters with an orthogonal least squares algorithm. Numerical examples demonstrate that the proposed approach can track rapid time-varying effects in nonlinear systems more accurately than the standard recursive algorithms. Based on the identified time domain model, a new frequency domain analysis approach is introduced based on a time-varying generalised frequency response function (TV-GFRF) concept, which enables the analysis of nonlinear, non-stationary systems in the frequency domain. Features in the TV-GFRFs which depend on the TV-NARMAX model structure and time-varying parameters are investigated. It is shown that the high-dimensional frequency features can be visualised in a low-dimensional time–frequency space. Journal: International Journal of Systems Science Pages: 2087-2100 Issue: 11 Volume: 46 Year: 2015 Month: 8 X-DOI: 10.1080/00207721.2013.860202 File-URL: http://hdl.handle.net/10.1080/00207721.2013.860202 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:11:p:2087-2100 Template-Type: ReDIF-Article 1.0 Author-Name: Hao Li Author-X-Name-First: Hao Author-X-Name-Last: Li Author-Name: Lihua Dou Author-X-Name-First: Lihua Author-X-Name-Last: Dou Author-Name: Zhong Su Author-X-Name-First: Zhong Author-X-Name-Last: Su Title: Adaptive nonsingular fast terminal sliding mode control for electromechanical actuator Abstract: An adaptive nonsingular fast terminal sliding mode control scheme consisting of an adaptive control term and a robust control term for electromechanical actuator is proposed in this article. The adaptive control term with an improved composite adaptive law can estimate the uncertain parameters and compensate for the modelled dynamical uncertainties. While the robust control term, which is based on a modified nonsingular fast terminal sliding mode control method with fast terminal sliding mode (TSM) reaching law, provides fast convergence of errors, and robustifies the design against unmodelled dynamics. Furthermore, the control method eliminates the singular problems in conventional TSM control. On the basis of the finite-time stability theory and the differential inequality principle, it is proved that the resulting closed-loop system is stable and the trajectory tracking error converges to zero in finite time. Finally the effectiveness of the proposed method is illustrated by simulation and experimental study. Journal: International Journal of Systems Science Pages: 401-415 Issue: 3 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.601348 File-URL: http://hdl.handle.net/10.1080/00207721.2011.601348 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:3:p:401-415 Template-Type: ReDIF-Article 1.0 Author-Name: Feng-Hsiag Hsiao Author-X-Name-First: Feng-Hsiag Author-X-Name-Last: Hsiao Title: Robustness design of fuzzy controllers for nonlinear multiple time-delay singularly perturbed systems: using dither as auxiliary Abstract: The stabilisation problem is considered in this study for nonlinear multiple time-delay singularly perturbed (NDSP) systems. First, a neural-network (NN) model is employed to approximate the reduced-order model of the NDSP plant. Then, a linear differential inclusion (LDI) state-space representation is established for the dynamics of the NN model. Based on this LDI state-space representation, a robustness design of fuzzy control is proposed to stabilise the NDSP system. If the designed fuzzy controller cannot stabilise the NDSP system, a dither (as an auxiliary of the fuzzy controller) is simultaneously introduced to stabilise the NDSP system. If the frequency of dither is high enough, the outputs of the dithered system and its corresponding mathematical model, the relaxed system, can be made as close as desired. This makes it possible to obtain a rigorous prediction of the stability of the dithered system by establishing that of the relaxed system. Finally, this study provides a numerical example with simulations to illustrate the concepts discussed throughout this article. Journal: International Journal of Systems Science Pages: 416-431 Issue: 3 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.601349 File-URL: http://hdl.handle.net/10.1080/00207721.2011.601349 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:3:p:416-431 Template-Type: ReDIF-Article 1.0 Author-Name: Jian-Ning Li Author-X-Name-First: Jian-Ning Author-X-Name-Last: Li Author-Name: Hongye Su Author-X-Name-First: Hongye Author-X-Name-Last: Su Author-Name: Zheng-Guang Wu Author-X-Name-First: Zheng-Guang Author-X-Name-Last: Wu Author-Name: Jian Chu Author-X-Name-First: Jian Author-X-Name-Last: Chu Title: Less conservative robust stability criteria for uncertain discrete stochastic singular systems with time-varying delay Abstract: The problem of robust stabilisation for uncertain discrete singular systems with time-varying delay is discussed in this article. First, a new delay-distribution-dependent Lyapunov function is established. Then, sufficient conditions are proposed for guaranteeing that the uncertain discrete singular system with time-varying delay has the properties of regularity, causality and stability. Finally, a suitable robust state feedback controller is designed by linear matrix inequality. Numerical examples illustrate that the results derived from the proposed method are less conservative than the existing ones. Journal: International Journal of Systems Science Pages: 432-441 Issue: 3 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.601350 File-URL: http://hdl.handle.net/10.1080/00207721.2011.601350 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:3:p:432-441 Template-Type: ReDIF-Article 1.0 Author-Name: Anouar Bouazza Author-X-Name-First: Anouar Author-X-Name-Last: Bouazza Author-Name: Anis Sakly Author-X-Name-First: Anis Author-X-Name-Last: Sakly Author-Name: Mohamed Benrejeb Author-X-Name-First: Mohamed Author-X-Name-Last: Benrejeb Title: Order reduction of complex systems described by TSK fuzzy models based on singular perturbations method Abstract: This article deals with the concept of order reduction of linear complex systems described by TSK fuzzy models. The use of singular perturbations technique for process modelling and the choice of Benrejeb arrow form characteristic matrix provide the decoupling of dynamics of linear systems in the continuous and discrete case. An original contribution is to apply nonconventional TSK fuzzy approach on a direct current motor in order, on one hand, to highlight the order reduction of this system presented locally in the form of linear models and, on the other hand, to show the efficiency of the proposed approaches. Journal: International Journal of Systems Science Pages: 442-449 Issue: 3 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.602480 File-URL: http://hdl.handle.net/10.1080/00207721.2011.602480 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:3:p:442-449 Template-Type: ReDIF-Article 1.0 Author-Name: Junchao Ren Author-X-Name-First: Junchao Author-X-Name-Last: Ren Author-Name: Qingling Zhang Author-X-Name-First: Qingling Author-X-Name-Last: Zhang Title: Positive real control for descriptor systems with uncertainties in the derivative matrix via a proportional plus derivative feedback Abstract: This article deals with the problem of normalisation and positive real control synthesis for a class of descriptor systems with uncertainties in the derivative matrix. Attention is focused on the design of a proportional plus derivative (PD) state feedback, which guarantees that the closed-loop system is quadratically normal and quadratically stable (QNQS) and the closed-loop transfer function is extended strictly positive real (ESPR). We first present a new linear matrix inequality (LMI) characterisation of positive realness for normal descriptor systems. This new characterisation provides a kind of decoupling among the Lyapunov matrix, the system matrix and the derivative matrix. Based on this, a necessary and sufficient condition for the desired PD controllers is given and a PD controller is constructed by solving LMIs. Finally, a numerical example is given to demonstrate that the proposed method is effective. Journal: International Journal of Systems Science Pages: 450-460 Issue: 3 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.602481 File-URL: http://hdl.handle.net/10.1080/00207721.2011.602481 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:3:p:450-460 Template-Type: ReDIF-Article 1.0 Author-Name: Wei Wu Author-X-Name-First: Wei Author-X-Name-Last: Wu Author-Name: Suhada Jayasuriya Author-X-Name-First: Suhada Author-X-Name-Last: Jayasuriya Title: A robust synthesis methodology for neutrally stable uncertain SISO plants under input amplitude saturation Abstract: In this article, a control system design methodology for neutrally stable, uncertain, single-input single-output plants under input amplitude saturation is presented. Based on Horowitz's original three degree of freedom design and extensions developed afterwards, this approach concentrates on neutrally stable, higher type, uncertain plants. A three degree of freedom non-interfering loop structure is used for the synthesis, along with the structure of the additional, independent loop transmission around the saturating element proposed for designing the third degree of freedom H(s). Robust stability and performance are established. The circle criterion, the describing function and non-overshooting conditions are utilised to obtain design constraints. Finally, all these design constraints are expressed in frequency domain bounds and synthesis follows from loop shaping methods such as quantitative feedback theory. Journal: International Journal of Systems Science Pages: 461-470 Issue: 3 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.604736 File-URL: http://hdl.handle.net/10.1080/00207721.2011.604736 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:3:p:461-470 Template-Type: ReDIF-Article 1.0 Author-Name: Lei Yu Author-X-Name-First: Lei Author-X-Name-Last: Yu Author-Name: Maoqing Zhang Author-X-Name-First: Maoqing Author-X-Name-Last: Zhang Author-Name: Shumin Fei Author-X-Name-First: Shumin Author-X-Name-Last: Fei Title: Non-linear adaptive sliding mode switching control with average dwell-time Abstract: In this article, an adaptive integral sliding mode control scheme is addressed for switched non-linear systems in the presence of model uncertainties and external disturbances. The control law includes two parts: a slide mode controller for the reduced model of the plant and a compensation controller to deal with the non-linear systems with parameter uncertainties. The adaptive updated laws have been derived from the switched multiple Lyapunov function method, also an admissible switching signal with average dwell-time technique is given. The simplicity of the proposed control scheme facilitates its implementation and the overall control scheme guarantees the global asymptotic stability in the Lyapunov sense such that the sliding surface of the control system is well reached. Simulation results are presented to demonstrate the effectiveness and the feasibility of the proposed approach. Journal: International Journal of Systems Science Pages: 471-478 Issue: 3 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.604739 File-URL: http://hdl.handle.net/10.1080/00207721.2011.604739 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:3:p:471-478 Template-Type: ReDIF-Article 1.0 Author-Name: Kendrick Amezquita S. Author-X-Name-First: Kendrick Author-X-Name-Last: Amezquita S. Author-Name: Lin Yan Author-X-Name-First: Lin Author-X-Name-Last: Yan Author-Name: Waseem Butt Author-X-Name-First: Waseem Author-X-Name-Last: Butt Title: Adaptive dynamic surface control for a class of MIMO nonlinear systems with actuator failures Abstract: In this article, an adaptive dynamic surface control scheme for a class of MIMO nonlinear systems with actuator failures and uncertainties is presented. In the proposed control scheme, the dynamic changes and disturbances induced by actuator failures are detected and isolated by means of radial basis function neural networks, which also compensate system uncertainties that arise from the mismatch between nominal model and real plant. In the presence of unknown actuation functions, the effectiveness of the control scheme is guaranteed by imposing a structural condition on the actuation matrix. Moreover, the singularity problem that arises from the approximation of unknown actuation functions is circumvented, and thus the use parameter projection is avoided. In this work, the nominal plant is transformed into a suitable form via diffeomorphism. Dynamic surface control design technique is used to develop the control laws. The closed-loop signals are proven to be uniformly ultimately bounded through Lyapunov approach, and the output tracking error is shown to be bounded within a residual set which can be made arbitrarily small by appropriately tuning the controller parameters. Finally, the proposed adaptive control scheme effectiveness is verified by simulation of the longitudinal dynamics of a twin otter aircraft undergoing actuator failures. Journal: International Journal of Systems Science Pages: 479-492 Issue: 3 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.604740 File-URL: http://hdl.handle.net/10.1080/00207721.2011.604740 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:3:p:479-492 Template-Type: ReDIF-Article 1.0 Author-Name: Maryamsadat Tahavori Author-X-Name-First: Maryamsadat Author-X-Name-Last: Tahavori Author-Name: Hamid Shaker Author-X-Name-First: Hamid Author-X-Name-Last: Shaker Title: Model reduction via time-interval balanced stochastic truncation for linear time invariant systems Abstract: In this article, a new method for model reduction of linear dynamical systems is presented. The proposed technique is from the family of gramian-based relative error model reduction methods. The method uses time-interval gramians in the reduction procedure rather than ordinary gramians and in such a way it improves the accuracy of the approximation within the time interval which is applied. It is proven that the reduced order model is stable when the proposed method applies to a stable system. The method uses a recently proposed inner–outer factorisation algorithm which enhances the numerical accuracy and efficiency. In order to avoid numerical instability and also to further increase the numerical efficiency, projector matrices are constructed instead of the similarity transform approach for reduction. The method is illustrated by a numerical example and finally it is applied to a practical CD player example. The numerical results show that the method is more accurate than ordinary balanced stochastic truncation. Journal: International Journal of Systems Science Pages: 493-501 Issue: 3 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.604741 File-URL: http://hdl.handle.net/10.1080/00207721.2011.604741 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:3:p:493-501 Template-Type: ReDIF-Article 1.0 Author-Name: Alexandru Agapie Author-X-Name-First: Alexandru Author-X-Name-Last: Agapie Author-Name: Mircea Agapie Author-X-Name-First: Mircea Author-X-Name-Last: Agapie Author-Name: Gheorghita Zbaganu Author-X-Name-First: Gheorghita Author-X-Name-Last: Zbaganu Title: Evolutionary algorithms for continuous-space optimisation Abstract: From a global viewpoint, evolutionary algorithms (EAs) working on continuous search-spaces can be regarded as homogeneous Markov chains (MCs) with discrete time and continuous state. We analyse from this viewpoint the (1 + 1)EA on the inclined plane fitness landscape, and derive a closed-form expression for the probability of occupancy of an arbitrary target zone, at an arbitrary iteration of the EA. For the hitting-time of an arbitrary target zone, we provide lower and upper bounds, as well as an asymptotic limit. Discretization leads to an MC with discrete time, whose simple structure is exploited to carry out efficient numerical investigations of the theoretical results obtained. The numerical results thoroughly confirm the theoretical ones, and also suggest various conjectures which go beyond the theory. Journal: International Journal of Systems Science Pages: 502-512 Issue: 3 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.605963 File-URL: http://hdl.handle.net/10.1080/00207721.2011.605963 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:3:p:502-512 Template-Type: ReDIF-Article 1.0 Author-Name: Khalifa Harib Author-X-Name-First: Khalifa Author-X-Name-Last: Harib Author-Name: Kamal Moustafa Author-X-Name-First: Kamal Author-X-Name-Last: Moustafa Title: On robust control of a class of nonlinear mechanical systems with parametric uncertainty Abstract: This article presents a method to design a robust controller for a class of nonlinear mechanical systems. The parameters of the system are assumed uncertain in the sense that they are known only within intervals of known lower and upper limits. The method involves using Kharitonov stability theory of interval polynomials to design a robust stabilising controller for the considered class of systems. To formulate the interval parameter problem in joint space, the dynamic equation, which is derived in Cartesian space for parallel kinematic machines, is transformed to joint space using the Jacobian matrix and its time derivative. The nonlinear joint space model is linearised yielding an interval linear model and a robust controller with interval parameter gains is then found. A simulation study on a dynamic model of Stewart platform based parallel kinematics machine demonstrates the design procedure and shows its effectiveness. Journal: International Journal of Systems Science Pages: 513-520 Issue: 3 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.605964 File-URL: http://hdl.handle.net/10.1080/00207721.2011.605964 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:3:p:513-520 Template-Type: ReDIF-Article 1.0 Author-Name: Jianjiang Yu Author-X-Name-First: Jianjiang Author-X-Name-Last: Yu Author-Name: Wuji Sun Author-X-Name-First: Wuji Author-X-Name-Last: Sun Author-Name: Honghai Liu Author-X-Name-First: Honghai Author-X-Name-Last: Liu Title: Improved analysis of Markovian jumping stochastic systems with time-varying delays Abstract: This article investigates the problems of H∞ analysis for Markovian jump stochastic systems with both nonlinear disturbance and time-varying delays. By virtue of the delay partition approach, the improved delay-dependent stochastic stability and bounded real lemma (BRL) for Markovian jump stochastic systems are obtained in terms of linear matrix inequalities (LMIs). The proposed approach involves neither free weighting matrices nor any model transformation, and it is shown that the new criteria have the capability of providing less conservative results than the state-of-the-art. Two numerical simulations are conducted to demonstrate the effectiveness of the proposed method in comparison with existing methods. Journal: International Journal of Systems Science Pages: 521-532 Issue: 3 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.617524 File-URL: http://hdl.handle.net/10.1080/00207721.2011.617524 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:3:p:521-532 Template-Type: ReDIF-Article 1.0 Author-Name: Zhi Liu Author-X-Name-First: Zhi Author-X-Name-Last: Liu Author-Name: Yun Zhang Author-X-Name-First: Yun Author-X-Name-Last: Zhang Author-Name: C.L. Philip Chen Author-X-Name-First: C.L. Author-X-Name-Last: Philip Chen Title: Adaptive mechanism-based congestion control for networked systems Abstract: In order to assure the communication quality in network systems with heavy traffic and limited bandwidth, a new ATRED (adaptive thresholds random early detection) congestion control algorithm is proposed for the congestion avoidance and resource management of network systems. Different to the traditional AQM (active queue management) algorithms, the control parameters of ATRED are not configured statically, but dynamically adjusted by the adaptive mechanism. By integrating with the adaptive strategy, ATRED alleviates the tuning difficulty of RED (random early detection) and shows a better control on the queue management, and achieve a more robust performance than RED under varying network conditions. Furthermore, a dynamic transmission control protocol–AQM control system using ATRED controller is introduced for the systematic analysis. It is proved that the stability of the network system can be guaranteed when the adaptive mechanism is finely designed. Simulation studies show the proposed ATRED algorithm achieves a good performance in varying network environments, which is superior to the RED and Gentle-RED algorithm, and providing more reliable service under varying network conditions. Journal: International Journal of Systems Science Pages: 533-544 Issue: 3 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.617525 File-URL: http://hdl.handle.net/10.1080/00207721.2011.617525 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:3:p:533-544 Template-Type: ReDIF-Article 1.0 Author-Name: Yu Liu Author-X-Name-First: Yu Author-X-Name-Last: Liu Author-Name: Hong-Zhong Huang Author-X-Name-First: Hong-Zhong Author-X-Name-Last: Huang Author-Name: Dan Ling Author-X-Name-First: Dan Author-X-Name-Last: Ling Title: Reliability prediction for evolutionary product in the conceptual design phase using neural network-based fuzzy synthetic assessment Abstract: Reliability prediction plays an important role in product lifecycle management. It has been used to assess various reliability indices (such as reliability, availability and mean time to failure) before a new product is physically built and/or put into use. In this article, a novel approach is proposed to facilitate reliability prediction for evolutionary products during their early design stages. Due to the lack of sufficient data in the conceptual design phase, reliability prediction is not a straightforward task. Taking account of the information from existing similar products and knowledge from domain experts, a neural network-based fuzzy synthetic assessment (FSA) approach is proposed to predict the reliability indices that a new evolutionary product could achieve. The proposed approach takes advantage of the capability of the back-propagation neural network in terms of constructing highly non-linear functional relationship and combines both the data sets from existing similar products and subjective knowledge from domain experts. It is able to reach a more accurate prediction than the conventional FSA method reported in the literature. The effectiveness and advantages of the proposed method are demonstrated via a case study of the fuel injection pump and a comparative study. Journal: International Journal of Systems Science Pages: 545-555 Issue: 3 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.617887 File-URL: http://hdl.handle.net/10.1080/00207721.2011.617887 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:3:p:545-555 Template-Type: ReDIF-Article 1.0 Author-Name: Xiao Du Author-X-Name-First: Xiao Author-X-Name-Last: Du Author-Name: Stephen Leung Author-X-Name-First: Stephen Author-X-Name-Last: Leung Author-Name: Jin Zhang Author-X-Name-First: Jin Author-X-Name-Last: Zhang Author-Name: K.K. Lai Author-X-Name-First: K.K. Author-X-Name-Last: Lai Title: Demand forecasting of perishable farm products using support vector machine Abstract: This article presents a new algorithm for forecasting demand for perishable farm products, based on the support vector machine (SVM) method. Since SVMs have greater generalisation performance and guarantee global minima for given training data, it is believed that support vector regression will perform well for forecasting demand for perishable farm products. In order to improve forecasting precision (FP), this article quantifies the factors affecting the sales forecast of perishable farm products based on the fuzzy theory, which is suitable for real situations. Numerical experiments show that forecasting systems with SVMs and fuzzy theory outperform the radial basis function neural network, based on the criteria of day absolute error, relative mean error and FP. Since there is no structured way to choose the free parameters of SVMs, the variational range of free parameters and the effects of the parameters on prediction performance are discussed in this article. Analysis of experimental results proves that it is advantageous to apply SVMs forecasting system in perishable farm products demand forecasting. Journal: International Journal of Systems Science Pages: 556-567 Issue: 3 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.617888 File-URL: http://hdl.handle.net/10.1080/00207721.2011.617888 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:3:p:556-567 Template-Type: ReDIF-Article 1.0 Author-Name: Ae. Souici Author-X-Name-First: Ae. Author-X-Name-Last: Souici Author-Name: M. Courdesses Author-X-Name-First: M. Author-X-Name-Last: Courdesses Author-Name: A. Ouldali Author-X-Name-First: A. Author-X-Name-Last: Ouldali Author-Name: R. Chatila Author-X-Name-First: R. Author-X-Name-Last: Chatila Title: Full-observability analysis and implementation of the general SLAM model Abstract: Simultaneous localisation and mapping (SLAM) problem is a non-linear system with dynamic state and measurement dimensions. The full observability of such system was ignored, in spite of the fact that system observability is a fundamental aspect in any state estimation problem. In this article, we present a full observability analysis of the general SLAM model. We show that known landmarks (anchor) solution does not guarantee full observability. Furthermore, we prove that to make the general SLAM model fully observable, a combination of known landmarks and invariant metrics are needed. Moreover, we propose a solution to implement a fully observable SLAM model based on mature landmark and virtual observation concepts. Simulations and experimental results are presented demonstrating the validity of the solutions in real world. Journal: International Journal of Systems Science Pages: 568-581 Issue: 3 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.617889 File-URL: http://hdl.handle.net/10.1080/00207721.2011.617889 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:3:p:568-581 Template-Type: ReDIF-Article 1.0 Author-Name: Brojeswar Pal Author-X-Name-First: Brojeswar Author-X-Name-Last: Pal Author-Name: Shib Sana Author-X-Name-First: Shib Author-X-Name-Last: Sana Author-Name: Kripasindhu Chaudhuri Author-X-Name-First: Kripasindhu Author-X-Name-Last: Chaudhuri Title: Maximising profits for an EPQ model with unreliable machine and rework of random defective items Abstract: This article deals with an economic production quantity (EPQ) model in an imperfect production system. The production system may undergo in ‘out-of-control’ state from ‘in-control’ state, after a certain time that follows a probability density function. The density function varies with reliability of the machinery system that may be controlled by new technologies, investing more costs. The defective items produced in ‘out-of-control’ state are reworked at a cost just after the regular production time. Occurrence of the ‘out-of-control’ state during or after regular production-run time is analysed and also graphically illustrated separately. Finally, an expected profit function regarding the inventory cost, unit production cost and selling price is maximised analytically. Sensitivity analysis of the model with respect to key parameters of the system is carried out. Two numerical examples are considered to test the model and one of them is illustrated graphically. Journal: International Journal of Systems Science Pages: 582-594 Issue: 3 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.617896 File-URL: http://hdl.handle.net/10.1080/00207721.2011.617896 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:3:p:582-594 Template-Type: ReDIF-Article 1.0 Author-Name: Kaddour Gherfi Author-X-Name-First: Kaddour Author-X-Name-Last: Gherfi Author-Name: Abdelfatah Charef Author-X-Name-First: Abdelfatah Author-X-Name-Last: Charef Author-Name: Hadj Ahmed Abbassi Author-X-Name-First: Hadj Ahmed Author-X-Name-Last: Abbassi Title: Proportional integral-fractional filter controller design for first order lag plus time delay system Abstract: In this work, a design approach of proportional integral-fractional filter (PI-FF) controller for first order plus time delay system (FOPTD) is proposed in order to enhance the feedback control system performance characteristics. The controller design method is drawn up such that the transfer function of the overall closed-loop system is equivalent to the transfer function of the general fractional Bagley–Torvik reference model whose behaviour ranges from relaxation to oscillation for different values of the fractional order derivative and the damping ratio-like parameter. The tuning parameters of the PI-FF controller are derived analytically from the FOPTD process model and the general fractional Bagley–Torvik reference model parameters. Illustrative examples were presented to test the effectiveness and the usefulness of the proposed PI-FF controller on the feedback control system performance characteristics enhancement. Journal: International Journal of Systems Science Pages: 885-904 Issue: 5 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2018.1431815 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1431815 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:5:p:885-904 Template-Type: ReDIF-Article 1.0 Author-Name: Hao Yan Author-X-Name-First: Hao Author-X-Name-Last: Yan Author-Name: Jianwen Wang Author-X-Name-First: Jianwen Author-X-Name-Last: Wang Author-Name: Fuzhong Wang Author-X-Name-First: Fuzhong Author-X-Name-Last: Wang Author-Name: Zhiqiang Wang Author-X-Name-First: Zhiqiang Author-X-Name-Last: Wang Author-Name: Shuangquan Zou Author-X-Name-First: Shuangquan Author-X-Name-Last: Zou Title: Observer-based reliable passive control for uncertain T–S fuzzy systems with time-delay Abstract: This paper is concerned with the problem of observer-based reliable passive control for uncertain Takagi–Sugeno (T–S) fuzzy systems with time-delay and actuator faults. By employing Lyapunov stability theory, fault treatment method and linear matrix inequalities (LMIs), a sufficient condition on the existence of an observer-based reliable passive controller is given. Further, the LMI conditions are proposed for the observer-based reliable passive controller design. The gain of reliable controller and observer can be obtained by solving the proposed LMIs. Using the reliable passive controller, the closed-loop system is not only internally stable but also strictly passive even though some actuator components fail and system state fails to be measured completely. Finally, a truck-trailer system example is given to verify the effectiveness and advantages of the designed approach. Journal: International Journal of Systems Science Pages: 905-918 Issue: 5 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1585996 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1585996 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:5:p:905-918 Template-Type: ReDIF-Article 1.0 Author-Name: Fuyong Wang Author-X-Name-First: Fuyong Author-X-Name-Last: Wang Author-Name: Zhongxin Liu Author-X-Name-First: Zhongxin Author-X-Name-Last: Liu Author-Name: Zengqiang Chen Author-X-Name-First: Zengqiang Author-X-Name-Last: Chen Author-Name: Sensen Wang Author-X-Name-First: Sensen Author-X-Name-Last: Wang Title: Containment control for second-order nonlinear multi-agent systems with intermittent communications Abstract: This article investigates the containment control problem for a class of second-order multi-agent systems with inherent nonlinear dynamics, under the common assumption that each agent can only obtain the relative information of its neighbours intermittently. A kind of distributed protocol based only on the relative local intermittent measurements of neighbouring agents is designed for containment control under fixed directed topology. In the absence of delays, based on the Lyapunov function technology and the intermittent control method, some sufficient conditions are presented to guarantee the intermittent containment control of second-order nonlinear multi-agent systems. In the presence of delays, some containment conditions are also obtained for a second-order multi-agent systems with inherent delayed nonlinear dynamics and intermittent communications. Moreover, the similar results are obtained for second-order nonlinear multi-agent systems under switching directed topology. Finally, simulation examples are given to illustrate the correctness and effectiveness of the theoretical analysis. Journal: International Journal of Systems Science Pages: 919-934 Issue: 5 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1585997 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1585997 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:5:p:919-934 Template-Type: ReDIF-Article 1.0 Author-Name: Zhe Gao Author-X-Name-First: Zhe Author-X-Name-Last: Gao Title: Analytical method on stabilisation of fractional-order plants with interval uncertainties using fractional-order PIλ Dμ controllers Abstract: This paper proposes an analytical criterion to determine the stabilisation of a fractional-order plant with interval uncertainties in the coefficients using the fractional-order PI $ ^\lambda $ λD $ ^\mu $ μ controller. First, the nominal function and the disturbance function are defined according to the characteristic function of the closed loop system. The vertex functions of the value set with respect to the disturbance function are given by using Minkowski sum. The test frequency interval is divided into several intervals, and the vertex functions are unchanged in these intervals determined by the switching frequencies. Therefore, the calculation method of these frequencies is given. Second, the calculation method on the finite test frequency interval is proposed to simplify the number of frequency intervals. Third, the analytical condition that the origin is located on the edge of the value set is investigated. Based on this condition, the sufficient condition and necessary condition for the stabilisation of fractional-order plant using the PI $ ^\lambda $ λD $ ^\mu $ μ controller are offered. Moreover, the analytical methods on a fractional-order plant with interval uncertainties using the fractional-order PI $ ^\lambda $ λ controller and the fractional-order PD $ ^\mu $ μ controller are also discussed. Finally, three examples are given to validate the effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 935-953 Issue: 5 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1585999 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1585999 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:5:p:935-953 Template-Type: ReDIF-Article 1.0 Author-Name: Ancai Zhang Author-X-Name-First: Ancai Author-X-Name-Last: Zhang Author-Name: Jinhua She Author-X-Name-First: Jinhua Author-X-Name-Last: She Author-Name: Jianlong Qiu Author-X-Name-First: Jianlong Author-X-Name-Last: Qiu Author-Name: Chengdong Yang Author-X-Name-First: Chengdong Author-X-Name-Last: Yang Author-Name: Fawaz Alsaadi Author-X-Name-First: Fawaz Author-X-Name-Last: Alsaadi Title: A new control method for global stabilisation of translational oscillator with rotational actuator Abstract: A translational oscillator with a rotational actuator (TORA) is an underactuated mechanical system with two degrees of freedom. This paper presents a new method to solve the global stabilisation control problem for this underactuated system. First, a set of suitable state variables is chosen for the TORA. It transforms the system into a cascade affine nonlinear system. Then, a positive-definite Lyapunov function is constructed based on the structural characteristics of the system. A control law is designed to guarantee that the derivative of the Lyapunov function is non-positive. Finally, the global stability of the closed-loop control system is analysed using the Lasalle invariance principle. The condition on the control parameters is presented to globally stabilise the TORA at the origin. The effectiveness and robustness of the method are verified by a numerical example. Journal: International Journal of Systems Science Pages: 954-960 Issue: 5 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1586000 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1586000 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:5:p:954-960 Template-Type: ReDIF-Article 1.0 Author-Name: Bo Li Author-X-Name-First: Bo Author-X-Name-Last: Li Author-Name: Yuanguo Zhu Author-X-Name-First: Yuanguo Author-X-Name-Last: Zhu Title: The piecewise parametric optimal control of uncertain linear quadratic models Abstract: The optimal control of linear quadratic model is given in a feedback form and determined by the solution of a Riccati equation. However, the control-related Riccati equation usually cannot be solved analytically such that the form of optimal control will become more complex. In this paper, we consider a piecewise parametric optimal control problem of uncertain linear quadratic model for simplifying the form of optimal control. By introducing a piecewise control parameter, a piecewise parametric optimal control model is established. Then we present a parametric optimisation method for solving the optimal piecewise control parameter. Finally, an uncertain inventory-promotion optimal control problem is discussed and a comparison is made to show the effectiveness of proposed piecewise parametric optimal control model. Journal: International Journal of Systems Science Pages: 961-969 Issue: 5 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1586003 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1586003 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:5:p:961-969 Template-Type: ReDIF-Article 1.0 Author-Name: Haiyang Zhang Author-X-Name-First: Haiyang Author-X-Name-Last: Zhang Author-Name: Zhipeng Qiu Author-X-Name-First: Zhipeng Author-X-Name-Last: Qiu Author-Name: Lianglin Xiong Author-X-Name-First: Lianglin Author-X-Name-Last: Xiong Author-Name: Guanghao Jiang Author-X-Name-First: Guanghao Author-X-Name-Last: Jiang Title: Stochastic stability analysis for neutral-type Markov jump neural networks with additive time-varying delays via a new reciprocally convex combination inequality Abstract: This paper investigates the stochastic stability problem for a class of neutral-type Markov jump neural networks with additive time-varying delays. Firstly, to derive a tighter lower bound of the reciprocally convex quadratic terms, a new reciprocally convex combination inequality is established by using parameters transformation approach. Secondly, by fully considering the peculiarity of various time-varying delays and Markov jumping parameters, an eligible stochastic Lyapunov–Krasovskii functional is constructed. Then, by employing the new reciprocally convex combination inequality and other analytical techniques, some novel stability criteria are provided in the forms of linear matrix inequalities. Finally, four illustrated examples are given to verify the effectiveness and feasibility of the proposed methods. Journal: International Journal of Systems Science Pages: 970-988 Issue: 5 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1586005 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1586005 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:5:p:970-988 Template-Type: ReDIF-Article 1.0 Author-Name: Zi-Jiang Yang Author-X-Name-First: Zi-Jiang Author-X-Name-Last: Yang Title: Distributed prescribed performance control for consensus output tracking of nonlinear semi-strict feedback systems using finite-time disturbance observers Abstract: The distributed consensus output tracking problem is dealt with for a class of nonlinear semi-strict feedback systems in the presence of mismatched nonlinear uncertainties, external disturbances and uncertain nonlinear virtual control coefficients of the subsystems. The systems are under a directed communication graph, where the leader node is the root. The controller is designed in a backstepping manner, and the dynamic surface technique is adopted to avoid direct differentiation. At each step of virtual controller design, a prescribed performance controller is constructed to achieve prescribed transient performance so that the system states remain in the feasible domain. Then each virtual controller is enhanced by a finite-time disturbance observer which estimates the disturbance term in a finite-time. The properties of the control system are analysed theoretically. It is clarified that the prescribed performance control technique ensures that the system signals stay in the feasible domain, whereas sufficiently small ultimate control errors can be achieved by the finite-time disturbance observers. Finally, the performance of the proposed methods is confirmed by numerical studies. Journal: International Journal of Systems Science Pages: 989-1005 Issue: 5 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1586006 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1586006 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:5:p:989-1005 Template-Type: ReDIF-Article 1.0 Author-Name: Ge Song Author-X-Name-First: Ge Author-X-Name-Last: Song Author-Name: Peng Shi Author-X-Name-First: Peng Author-X-Name-Last: Shi Author-Name: Shuoyu Wang Author-X-Name-First: Shuoyu Author-X-Name-Last: Wang Author-Name: Jeng-Shyang Pan Author-X-Name-First: Jeng-Shyang Author-X-Name-Last: Pan Title: A new finite-time cooperative control algorithm for uncertain multi-agent systems Abstract: In this paper, the problem of fixed-time consensus tracking control is investigated for multi-agent networks with input uncertain dynamics under the undirected graph. First, a nonsingular terminal sliding mode manifold is proposed, with which the convergence time is globally bounded irrelevant to initial states. Then, with the aid of the observer method and sliding mode technique, the distributed nonsingular controller is designed for the underlying system to ensure that the consensus tracking errors go into sliding mode manifold and converge to origin within a desired time. Finally, examples are presented to verify the validity of the new control strategy. Journal: International Journal of Systems Science Pages: 1006-1016 Issue: 5 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1586007 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1586007 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:5:p:1006-1016 Template-Type: ReDIF-Article 1.0 Author-Name: Fucheng Liao Author-X-Name-First: Fucheng Author-X-Name-Last: Liao Author-Name: Chen Jia Author-X-Name-First: Chen Author-X-Name-Last: Jia Author-Name: Usman Malik Author-X-Name-First: Usman Author-X-Name-Last: Malik Author-Name: Xiao Yu Author-X-Name-First: Xiao Author-X-Name-Last: Yu Author-Name: Jiamei Deng Author-X-Name-First: Jiamei Author-X-Name-Last: Deng Title: The preview control of a class of linear systems and its application in the fault-tolerant control theory Abstract: In the fault-tolerant control theory based on model following control, the desired signal of the control system is the output of a reference system. This paper is concerned with the design of the preview controller for a class of fault systems. A composite vector is introduced by including error vector, fault system state vector and reference system state vector. Then, we derived an augmented system from the known system equation, in which the reference input has equal status with the desired signal in the traditional preview control theory. Therefore, we can use the known theory to design the preview controller for the augmented system, then the preview controller of the original fault system can be obtained by the integration method. This paper strictly discusses the connection between stabilisation and detectability of the augmented system and the corresponding characteristics of the original system. Finally, by applying this theory to a real steam generator water level control system, it is found that the actions of the reference input preview and the fault signal preview can effectively eliminate the effect of the fault signal on the water level of the steam generator. The simulation shows the effectiveness of the controller designed. Journal: International Journal of Systems Science Pages: 1017-1027 Issue: 5 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1587028 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1587028 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:5:p:1017-1027 Template-Type: ReDIF-Article 1.0 Author-Name: Zhen Shao Author-X-Name-First: Zhen Author-X-Name-Last: Shao Author-Name: Zhengrong Xiang Author-X-Name-First: Zhengrong Author-X-Name-Last: Xiang Title: Adaptive iterative learning control for switched nonlinear continuous-time systems Abstract: In this paper, an adaptive iterative learning control (ILC) method is proposed for switched nonlinear continuous-time systems with time-varying parametric uncertainties. First, an iterative learning controller is constructed with a state feedback term in the time domain and an adaptive learning term in the iteration domain. Then a switched nonlinear continuous-discrete two-dimensional (2D) system is built to describe the adaptive ILC system. Multiple 2D Lyapunov functions-based analysis ensures that the 2D system is exponentially stable, and the tracking error will converge to zero in the iteration domain. The design method of the iterative learning controller is obtained by solving a linear matrix inequality. Finally, the efficacy of the proposed controller is demonstrated by the simulation results. Journal: International Journal of Systems Science Pages: 1028-1038 Issue: 5 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1587029 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1587029 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:5:p:1028-1038 Template-Type: ReDIF-Article 1.0 Author-Name: Ladan Khoshnevisan Author-X-Name-First: Ladan Author-X-Name-Last: Khoshnevisan Author-Name: Xinzhi Liu Author-X-Name-First: Xinzhi Author-X-Name-Last: Liu Title: Fractional order predictive sliding-mode control for a class of nonlinear input-delay systems: singular and non-singular approach Abstract: Nonlinear models of physical systems usually suffer from input delay and external disturbances. Moreover, when a delayed state is in the input signal gain, it can be non-singular or singular. So, designing a robust controller in a nonlinear system with input and state delay, suitable for non-singular and singular input signal gain, is imperative. The main contribution of our study is to design a new state feedback fractional order predictive sliding mode control (FOPSMC) procedure which not only guarantees the stability of a nonlinear system with known constant input and state delay but also controls the output signal to the desired value. Firstly, a predictor is designed for the system to achieve an input-delay-free one. Then, a state feedback FOPSMC is proposed based on a fractional order sliding signal for a nonlinear system with non-singular control gain. Also, a state feedback FOPSMC and a fractional order sliding mode observer (FOSMO) for the virtual disturbance are designed for singular control gain situation. It is proved analytically, through the Lyapunov stability criteria, that both control procedures can stabilise the system and can control the output signal to the desired value, effectively. Finally, the simulation results verify the effectiveness of the analytical achievements. Journal: International Journal of Systems Science Pages: 1039-1051 Issue: 5 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1587030 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1587030 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:5:p:1039-1051 Template-Type: ReDIF-Article 1.0 Author-Name: Kenan Yong Author-X-Name-First: Kenan Author-X-Name-Last: Yong Author-Name: Mou Chen Author-X-Name-First: Mou Author-X-Name-Last: Chen Author-Name: Qingxian Wu Author-X-Name-First: Qingxian Author-X-Name-Last: Wu Title: Immersion and invariance-based integrated guidance and control for unmanned aerial vehicle path following Abstract: An integrated guidance and control scheme is proposed on path following for the unmanned aerial vehicle. It is capable of handling the coupled non-linearities of the path's kinematics and the aircraft's dynamics independently. In the path coordinate, the guidance law is designed based on a nominal model, and the non-linearity of the path's kinematics is taken into full consideration. In the time coordinate, the flight control law is designed as a feed-forward controller, and it can guarantee the robustness of the guidance law with respect to the actual aircraft's dynamics. Instead of only employing Lyapunov method, the concept of immersion and invariance is also applied to explicitly analyse the stability in both time and path coordinates, and the asymptotic stability of the closed-loop system can be guaranteed. What is more, the regulation-based and immersion-based adaptive technologies are synthetically utilised to handle the unknown parameters. Finally, the numerical simulations demonstrate the effectiveness of the developed integrated guidance and control scheme. Journal: International Journal of Systems Science Pages: 1052-1068 Issue: 5 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1587544 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1587544 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:5:p:1052-1068 Template-Type: ReDIF-Article 1.0 Author-Name: S. Khelouat Author-X-Name-First: S. Author-X-Name-Last: Khelouat Author-Name: T. M. Laleg-Kirati Author-X-Name-First: T. M. Author-X-Name-Last: Laleg-Kirati Author-Name: A. Benalia Author-X-Name-First: A. Author-X-Name-Last: Benalia Author-Name: D. Boukhetala Author-X-Name-First: D. Author-X-Name-Last: Boukhetala Author-Name: M. Djemai Author-X-Name-First: M. Author-X-Name-Last: Djemai Title: A geometric approach to nonlinear fault detection and isolation in a hybrid three-cell converter Abstract: In this paper, the problem of fault detection and isolation in a three-cell converter is investigated using a nonlinear geometric approach. This powerful method based on the unobservability distribution is used to detect and isolate the faulty cell in the three-cell converter. First, a model describing the faults in the cells is presented. The geometric approach is then applied on this faulty model to generate residual signals based on a sliding-mode observer that allows the detection of faults in the three-cell converter. Numerical results show the effectiveness of the proposed sliding-mode residual generators for fault detection and isolation in the three-cell converter. Journal: International Journal of Systems Science Pages: 1069-1088 Issue: 5 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1588409 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1588409 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:5:p:1069-1088 Template-Type: ReDIF-Article 1.0 Author-Name: Omar Hernández-González Author-X-Name-First: Omar Author-X-Name-Last: Hernández-González Author-Name: María-Eusebia Guerrero-Sánchez Author-X-Name-First: María-Eusebia Author-X-Name-Last: Guerrero-Sánchez Author-Name: Mondher Farza Author-X-Name-First: Mondher Author-X-Name-Last: Farza Author-Name: Tomas Ménard Author-X-Name-First: Tomas Author-X-Name-Last: Ménard Author-Name: Mohammed M'Saad Author-X-Name-First: Mohammed Author-X-Name-Last: M'Saad Author-Name: Rogelio Lozano Author-X-Name-First: Rogelio Author-X-Name-Last: Lozano Title: High gain observer for a class of nonlinear systems with coupled structure and sampled output measurements: application to a quadrotor Abstract: This paper proposes a new high gain observer for a class of non-uniformly observable nonlinear systems with coupled structure driven by sampled outputs. The considered class of systems is particularly constituted by several subsystems where each subsystem is associated to a subset of the output variables. The observer design is carried out through two steps. First, a high-gain observer is proposed in the continuous-time output case under the assumption that an adequate persistent excitation condition is satisfied by each subsystem. Then, the proposed observer is redesigned to handle the case of sampled outputs leading thereby to a continuous-discrete time observer. The latter property is achieved thanks to the approach pursued along the convergence analysis. The effectiveness of the proposed observer is emphasised in a realistic simulation framework involving a mathematical model of a quadrotor which is diffeomorphic to the proposed class of considered systems. Journal: International Journal of Systems Science Pages: 1089-1105 Issue: 5 Volume: 50 Year: 2019 Month: 4 X-DOI: 10.1080/00207721.2019.1589596 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1589596 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:5:p:1089-1105 Template-Type: ReDIF-Article 1.0 Author-Name: Atiyeh Keshavarz-Mohammadiyan Author-X-Name-First: Atiyeh Author-X-Name-Last: Keshavarz-Mohammadiyan Author-Name: Hamid Khaloozadeh Author-X-Name-First: Hamid Author-X-Name-Last: Khaloozadeh Title: Interacting multiple model and sensor selection algorithms for manoeuvring target tracking in wireless sensor networks with multiplicative noise Abstract: This article addresses the problem of tracking a manoeuvring target in a wireless sensor network (WSN) consisting of distance-measuring sensor nodes. In order to cope with target manoeuvres, an interacting multiple model (IMM) filter is applied to estimate the position and velocity of the target. The distance-dependent measurement error of sensors is formulated as both additive and multiplicative noise in the observation equation. To deal with nonlinearities in the process and observation equations and also to solve the problem of multiplicative measurement noise, a new particle filter (PF)-based IMM approach is developed. Furthermore, the multiple-model posterior Cramér-Rao lower bound (PCRLB) is derived in the presence of both additive and multiplicative noise and it is used to perform a sensor selection algorithm to reduce energy consumption in WSN nodes. Simulation results show the effectiveness of the proposed IMMPF and sensor selection algorithms in target tracking. Journal: International Journal of Systems Science Pages: 899-908 Issue: 5 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1177128 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1177128 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:899-908 Template-Type: ReDIF-Article 1.0 Author-Name: Jing Wang Author-X-Name-First: Jing Author-X-Name-Last: Wang Author-Name: Tianyu Yang Author-X-Name-First: Tianyu Author-X-Name-Last: Yang Author-Name: Gennady Staskevich Author-X-Name-First: Gennady Author-X-Name-Last: Staskevich Author-Name: Brian Abbe Author-X-Name-First: Brian Author-X-Name-Last: Abbe Title: Approximately adaptive neural cooperative control for nonlinear multiagent systems with performance guarantee Abstract: This paper studies the cooperative control problem for a class of multiagent dynamical systems with partially unknown nonlinear system dynamics. In particular, the control objective is to solve the state consensus problem for multiagent systems based on the minimisation of certain cost functions for individual agents. Under the assumption that there exist admissible cooperative controls for such class of multiagent systems, the formulated problem is solved through finding the optimal cooperative control using the approximate dynamic programming and reinforcement learning approach. With the aid of neural network parameterisation and online adaptive learning, our method renders a practically implementable approximately adaptive neural cooperative control for multiagent systems. Specifically, based on the Bellman's principle of optimality, the Hamilton–Jacobi–Bellman (HJB) equation for multiagent systems is first derived. We then propose an approximately adaptive policy iteration algorithm for multiagent cooperative control based on neural network approximation of the value functions. The convergence of the proposed algorithm is rigorously proved using the contraction mapping method. The simulation results are included to validate the effectiveness of the proposed algorithm. Journal: International Journal of Systems Science Pages: 909-920 Issue: 5 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1186242 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1186242 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:909-920 Template-Type: ReDIF-Article 1.0 Author-Name: Guangqi Li Author-X-Name-First: Guangqi Author-X-Name-Last: Li Author-Name: Yan Lin Author-X-Name-First: Yan Author-X-Name-Last: Lin Author-Name: Xu Zhang Author-X-Name-First: Xu Author-X-Name-Last: Zhang Title: Global state feedback stabilisation for a class of high-order nonlinear systems with quantised input and state Abstract: In this paper, we aim at addressing the problem of global state feedback stabilisation for a class of high-order nonlinear systems with quantised input and state. The nonlinear functions of the system are bounded by both low-order and high-order terms multiplied by a polynomial-type incremental rate. With the combination of homogeneous domination approach and sector bound approach, a quantised controller computed from quantised state is constructed and a guideline is derived for selecting the parameters of the quantisers. Further, it is proved that, with the proposed scheme, the closed-loop system is globally asymptotically stable. Journal: International Journal of Systems Science Pages: 921-929 Issue: 5 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1197981 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1197981 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:921-929 Template-Type: ReDIF-Article 1.0 Author-Name: S. Alt Author-X-Name-First: S. Author-X-Name-Last: Alt Author-Name: K. Schmidt Author-X-Name-First: K. Author-X-Name-Last: Schmidt Author-Name: E. Arnold Author-X-Name-First: E. Author-X-Name-Last: Arnold Author-Name: M. Zeitz Author-X-Name-First: M. Author-X-Name-Last: Zeitz Author-Name: O. Sawodny Author-X-Name-First: O. Author-X-Name-Last: Sawodny Title: Inversion-based feedforward control design for linear transport systems with spatially acting input Abstract: The considered transport systems, which possess an actuator with a spatial influence characteristic along the transport path, are used for the transport of material between different process stages and for the conditioning of the conveyed goods at the same time. The spatially acting input results in complex input/output behaviour of a Single-Input Single-Output (SISO) system with distributed delays. The feedforward control task under consideration is defined by a setpoint change of the subsequent process stage. For the feedforward controller design, an inversion-based approach in the frequency domain is investigated to steer the output of the transport system towards a predefined constant value. In order to compensate model uncertainties and reject unknown disturbances, the results of the inversion-based feedforward control are used to design a feedback controller. Journal: International Journal of Systems Science Pages: 930-940 Issue: 5 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1221481 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1221481 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:930-940 Template-Type: ReDIF-Article 1.0 Author-Name: Wenhui Liu Author-X-Name-First: Wenhui Author-X-Name-Last: Liu Author-Name: Cheng-Chew Lim Author-X-Name-First: Cheng-Chew Author-X-Name-Last: Lim Author-Name: Shengyuan Xu Author-X-Name-First: Shengyuan Author-X-Name-Last: Xu Title: Adaptive control of a class of quantised nonlinearly parameterised systems with unknown control directions Abstract: The problem of adaptive control is studied for a class of nonlinearly parameterised systems with quantised input signal and unknown control directions. The homogeneous domination approach and the Nussbaum-type gain method are applied to design an adaptive state-feedback controller. A hysteretic type of quantiser is incorporated to reduce actuator chattering. The proposed controller can ensure that all signals of the nonlinear system are globally bounded, and that the system state asymptotically converges to zero. Two numerical examples are presented to demonstrate the effectiveness and potential of the proposed techniques. Journal: International Journal of Systems Science Pages: 941-951 Issue: 5 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1221482 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1221482 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:941-951 Template-Type: ReDIF-Article 1.0 Author-Name: Honglei Lin Author-X-Name-First: Honglei Author-X-Name-Last: Lin Author-Name: Shuli Sun Author-X-Name-First: Shuli Author-X-Name-Last: Sun Title: Distributed fusion estimation for multi-sensor asynchronous sampling systems with correlated noises Abstract: This paper is concerned with the distributed fusion estimation problem for a class of multi-sensor asynchronous sampling systems with correlated noises. The state updates uniformly and the sensors sample randomly. Based on the measurement augmentation method, the asynchronous sampling system is transformed to the synchronous sampling one. Local filter is designed by using an innovation analysis approach. Then, the filtering error cross-covariance matrix between any two local filters is derived. Finally, the optimal distributed fusion filter is proposed by using matrix-weighted fusion algorithm in the linear minimum variance sense. Simulation results show the effectiveness of the proposed algorithms. Journal: International Journal of Systems Science Pages: 952-960 Issue: 5 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1224953 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1224953 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:952-960 Template-Type: ReDIF-Article 1.0 Author-Name: Junyong Zhai Author-X-Name-First: Junyong Author-X-Name-Last: Zhai Author-Name: Qiang Wan Author-X-Name-First: Qiang Author-X-Name-Last: Wan Title: Cooperative output synchronisation of networked feedforward nonlinear systems via linear sampled-data control Abstract: This paper studies the problem of cooperative output synchronisation of networked feedforward nonlinear systems via linear sampled-data control. To dominate the unknown nonlinear perturbing terms, a scaling gain is introduced by a change in coordinates. Then, we construct a reduced-order sampled-data observer and use the backstepping method to design a linear sampled-data controller. By using combined graph theory with feedback domination approach, an explicit formula for the sampling period can be obtained under the proposed controller with appropriate gains such that all outputs of the agents in the network can be synchronised. Finally, two examples are provided to verify the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 961-970 Issue: 5 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1226982 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1226982 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:961-970 Template-Type: ReDIF-Article 1.0 Author-Name: Zhijie Liu Author-X-Name-First: Zhijie Author-X-Name-Last: Liu Author-Name: Jinkun Liu Author-X-Name-First: Jinkun Author-X-Name-Last: Liu Author-Name: Wei He Author-X-Name-First: Wei Author-X-Name-Last: He Title: Vibration control of a flexible aerial refuelling hose with input saturation Abstract: In this study, we consider a boundary control problem of a flexible aerial refuelling hose in the presence of input saturation. To provide an accurate and concise representation of the hose's behaviour, the flexible hose is modelled as a distributed parameter system described by partial differential equations (PDEs). By using the backstepping method, a boundary control scheme is proposed based on the original PDEs to regulate the hose's vibration. An auxiliary system based on a smooth hyperbolic function and a Nussbaum function is designed to handle the effect of the input saturation. Then based on Lyapunov's direct method, the state of the system is proven to converge to a small neighbourhood of zero by appropriately choosing design parameters. Finally, the results are illustrated using numerical simulations for control performance verification. Journal: International Journal of Systems Science Pages: 971-983 Issue: 5 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1226983 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1226983 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:971-983 Template-Type: ReDIF-Article 1.0 Author-Name: Feifei Wang Author-X-Name-First: Feifei Author-X-Name-Last: Wang Author-Name: Diyi Chen Author-X-Name-First: Diyi Author-X-Name-Last: Chen Author-Name: Xinguang Zhang Author-X-Name-First: Xinguang Author-X-Name-Last: Zhang Author-Name: Yonghong Wu Author-X-Name-First: Yonghong Author-X-Name-Last: Wu Title: Finite-time stability of a class of nonlinear fractional-order system with the discrete time delay Abstract: This paper investigates the finite-time stability problem of a class of nonlinear fractional-order system with the discrete time delay. Employing the Laplace transform, the Mittag-Leffler function and the generalised Gronwall inequality, the new criterions are derived to guarantee the finite-time stability of the system with the fractional-order 0 < α < 1. Further, we propose the sufficient conditions for ensuring the finite-time stability of the system with the fractional-order 1 < α < 2. Finally, based on the modified Adams–Bashforth–Moulton algorithm for solving fractional-order differential equations with the time delay, we carry out the numerical simulations to demonstrate the effectiveness of the proposed results, and calculate the estimated time of the finite-time stability. Journal: International Journal of Systems Science Pages: 984-993 Issue: 5 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1226985 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1226985 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:984-993 Template-Type: ReDIF-Article 1.0 Author-Name: Ivan Popov Author-X-Name-First: Ivan Author-X-Name-Last: Popov Author-Name: Alexander Krylatov Author-X-Name-First: Alexander Author-X-Name-Last: Krylatov Author-Name: Victor Zakharov Author-X-Name-First: Victor Author-X-Name-Last: Zakharov Author-Name: Dmitry Ivanov Author-X-Name-First: Dmitry Author-X-Name-Last: Ivanov Title: Competitive energy consumption under transmission constraints in a multi-supplier power grid system Abstract: Power grid architectures need to be revised in order to manage the increasing number of producers and, more generally, the decentralisation of energy production and distribution. In this work, we describe a multi-supplier multi-consumer congestion model of a power grid, where the costs of consumers depend on the congestion in nodes and arcs of the power supply network. The consumer goal is both to meet their energy demand and to minimise the costs. We show that the methods of non-atomic routing can be applied in this model in order to describe current distribution in the network. We formulate a consumer cost minimisation game for this setting, and discuss the challenges arising in equilibrium search for this game. Journal: International Journal of Systems Science Pages: 994-1001 Issue: 5 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1226986 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1226986 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:994-1001 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaowei Yu Author-X-Name-First: Xiaowei Author-X-Name-Last: Yu Author-Name: Yan Lin Author-X-Name-First: Yan Author-X-Name-Last: Lin Author-Name: Xu Zhang Author-X-Name-First: Xu Author-X-Name-Last: Zhang Title: Decentralised output feedback for a class of nonlinear systems via quantised sampled-data control Abstract: We design a decentralised observer-based sampled-data controller with quantised output for a class of interconnected nonlinear systems. Instead of quantising the output directly, we quantise the sampled output to avoid sudden jump. It can be proved that by choosing suitable design parameters, global stability of the system is achieved. An example is given to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1002-1008 Issue: 5 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1229078 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1229078 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:1002-1008 Template-Type: ReDIF-Article 1.0 Author-Name: Qing Sun Author-X-Name-First: Qing Author-X-Name-Last: Sun Author-Name: Cheng-Chew Lim Author-X-Name-First: Cheng-Chew Author-X-Name-Last: Lim Author-Name: Fei Liu Author-X-Name-First: Fei Author-X-Name-Last: Liu Title: Constrained state estimation for stochastic jump systems: moving horizon approach Abstract: We discuss the state estimation advantages for a class of linear discrete-time stochastic jump systems, in which a Markov process governs the operation mode, and the state variables and disturbances are subject to inequality constraints. The horizon estimation approach addressed the constrained state estimation problem, and the Bayesian network technique solved the stochastic jump problem. The moving horizon state estimator designed in this paper can produce the constrained state estimates with a lower error covariance than under the unconstrained counterpart. This new estimation method is used in the design of the restricted state estimator for two practical applications. Journal: International Journal of Systems Science Pages: 1009-1021 Issue: 5 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1229080 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1229080 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:1009-1021 Template-Type: ReDIF-Article 1.0 Author-Name: Kai Zhang Author-X-Name-First: Kai Author-X-Name-Last: Zhang Author-Name: Guang-Ren Duan Author-X-Name-First: Guang-Ren Author-X-Name-Last: Duan Title: Robust H dynamic output feedback control for spacecraft rendezvous with poles and input constraint Abstract: This paper is concerned with the output feedback control problem for spacecraft rendezvous subject to target angular velocity uncertainty and controller uncertainty, external disturbance and input constraint. A general full-order dynamic output feedback (DOF) controller is proposed. As a stepping-stone, the H∞ performance requirement, poles and input constraint are analysed separately via linear matrix inequalities (LMIs). Then, with the obtained results, the controller design problem is cast into a convex problem subject to a set of LMI constraints through a critical change of controller variables. Furthermore, when the system states are all available, a reduced sufficient condition of the non-fragile state feedback controller is given. Compared with existing results, the designed controller has overcome the disadvantage of strictly proper DOF controller, where the initial value of the control input is zero. Besides, the constraint on poles placement is relaxed. A numerical simulation is performed to verify the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1022-1034 Issue: 5 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1229082 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1229082 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:1022-1034 Template-Type: ReDIF-Article 1.0 Author-Name: Fei Hao Author-X-Name-First: Fei Author-X-Name-Last: Hao Author-Name: Hao Yu Author-X-Name-First: Hao Author-X-Name-Last: Yu Title: Stability of model-based event-triggered control systems: a separation property Abstract: To save resource of communication, this paper investigates the model-based event-triggered control systems. Two main problems are considered in this paper. One is, for given plant and model, to design event conditions to guarantee the stability of the systems. The other is to consider the effect of the model matrices on the stability. The results show that the closed-loop systems can be asymptotically stabilised with any model matrices in compact sets if the parameters in the event conditions are within the designed ranges. Then, a separation property of model-based event-triggered control is proposed. Namely, the design of the controller gain and the event condition can be separated from the selection of the model matrices. Based on this property, an adaption mechanism is introduced to the model-based event-triggered control systems, which can further improve the sampling performance. Finally, a numerical example is given to show the efficiency and feasibility of the developed results. Journal: International Journal of Systems Science Pages: 1035-1047 Issue: 5 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1236420 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1236420 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:1035-1047 Template-Type: ReDIF-Article 1.0 Author-Name: D. El Hellani Author-X-Name-First: D. Author-X-Name-Last: El Hellani Author-Name: A. El Hajjaji Author-X-Name-First: A. Author-X-Name-Last: El Hajjaji Author-Name: R. Ceschi Author-X-Name-First: R. Author-X-Name-Last: Ceschi Title: filter design for nonlinear systems with quantised measurements in finite frequency domain Abstract: This paper deals with the problem of finite frequency (FF) H∞ full-order fuzzy filter design for nonlinear discrete-time systems with quantised measurements, described by Takagi–Sugeno models. The measured signals are assumed to be quantised with a logarithmic quantiser. Using a fuzzy-basis-dependent Lyapunov function, the finite frequency ℓ2 gain definition, the generalised S-procedure, and Finsler's lemma, a set of sufficient conditions are established in terms of matrix inequalities, ensuring that the filtering error system is stable and the H∞ attenuation level, from disturbance to the estimation error, is smaller than a given value over a prescribed finite frequency domain of the external disturbances. With the aid of Finsler's lemma, a large number of slack variables are introduced to the design conditions, which provides extra degrees of freedom in optimising the guaranteed H∞ performance. This directly leads to performance improvement and reduction of conservatism. Finally, we give a simulation example to demonstrate the efficiency of the proposed design method, and we show that a lower H∞ attenuation level can be obtained by our developed approach in comparison with another result in the literature. Journal: International Journal of Systems Science Pages: 1048-1059 Issue: 5 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1236421 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1236421 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:1048-1059 Template-Type: ReDIF-Article 1.0 Author-Name: Reza Mohajerpoor Author-X-Name-First: Reza Author-X-Name-Last: Mohajerpoor Author-Name: Lakshmanan Shanmugam Author-X-Name-First: Lakshmanan Author-X-Name-Last: Shanmugam Author-Name: Hamid Abdi Author-X-Name-First: Hamid Author-X-Name-Last: Abdi Author-Name: Saeid Nahavandi Author-X-Name-First: Saeid Author-X-Name-Last: Nahavandi Author-Name: Mehdrad Saif Author-X-Name-First: Mehdrad Author-X-Name-Last: Saif Title: Functional observer design for retarded system with interval time-varying delays Abstract: Functional observers are the key solution to numerous practical estimation problems, wherein full-order observers cannot be applied. This paper studies the novel problem of minimum-order functional observer design for time-delay systems with interval time-varying state delays. Moreover, unlike the majority of the existing papers on this topic, which consider either small or unknown delay rates, the delay derivative is assumed to possess an upper bound not limited to be less than one. A new augmented Lyapunov–Krasovskii functional with triple integral terms is employed to derive less conservative delay-dependent sufficient conditions for the stability of the closed-loop observer dynamics, which are expressed in terms of linear matrix inequalities. In addition, contemporary techniques such as Wirtinger-based single- and double-integral inequalities, delay splitting scheme, reciprocally convex approach and convex combination technique, along with the descriptor transformation, are adopted in constructing the new stability criterion that is exploited for obtaining the observer parameters. A genetic-algorithm-based searching schema is proposed to optimally tune a number of weighting parameters in the observer design procedure. Numerical examples and simulation results are demonstrated to confirm the effectiveness and the superiority of the proposed observer design algorithm. Journal: International Journal of Systems Science Pages: 1060-1070 Issue: 5 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1236422 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1236422 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:1060-1070 Template-Type: ReDIF-Article 1.0 Author-Name: Mircea-Bogdan Radac Author-X-Name-First: Mircea-Bogdan Author-X-Name-Last: Radac Author-Name: Radu-Emil Precup Author-X-Name-First: Radu-Emil Author-X-Name-Last: Precup Author-Name: Raul-Cristian Roman Author-X-Name-First: Raul-Cristian Author-X-Name-Last: Roman Title: Model-Free control performance improvement using virtual reference feedback tuning and reinforcement Q-learning Abstract: This paper proposes the combination of two model-free controller tuning techniques, namely linear virtual reference feedback tuning (VRFT) and nonlinear state-feedback Q-learning, referred to as a new mixed VRFT-Q learning approach. VRFT is first used to find stabilising feedback controller using input-output experimental data from the process in a model reference tracking setting. Reinforcement Q-learning is next applied in the same setting using input-state experimental data collected under perturbed VRFT to ensure good exploration. The Q-learning controller learned with a batch fitted Q iteration algorithm uses two neural networks, one for the Q-function estimator and one for the controller, respectively. The VRFT-Q learning approach is validated on position control of a two-degrees-of-motion open-loop stable multi input-multi output (MIMO) aerodynamic system (AS). Extensive simulations for the two independent control channels of the MIMO AS show that the Q-learning controllers clearly improve performance over the VRFT controllers. Journal: International Journal of Systems Science Pages: 1071-1083 Issue: 5 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1236423 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1236423 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:1071-1083 Template-Type: ReDIF-Article 1.0 Author-Name: Bing Sun Author-X-Name-First: Bing Author-X-Name-Last: Sun Title: Optimal control of vibrations of a dynamic Gao beam in contact with a reactive foundation Abstract: In this paper, we investigate the optimal control of vibrations of a nonlinear viscoelastic beam, which is acted upon by a horizontal traction, that may come in contact with a reactive foundation underneath it. By the Dubovitskii and Milyutin functional analytical approach, we derive the Pontryagin maximum principle of the system governed by the Gao beam equation. And the first-order necessary optimality condition is presented for the optimal control problem in fixed final horizon case. Finally, we also sketch the numerical solution based on the obtained theoretical results. Journal: International Journal of Systems Science Pages: 1084-1091 Issue: 5 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1236994 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1236994 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:1084-1091 Template-Type: ReDIF-Article 1.0 Author-Name: Zhengmin Liu Author-X-Name-First: Zhengmin Author-X-Name-Last: Liu Author-Name: Peide Liu Author-X-Name-First: Peide Author-X-Name-Last: Liu Title: Intuitionistic uncertain linguistic partitioned Bonferroni means and their application to multiple attribute decision-making Abstract: The Bonferroni mean (BM) was originally introduced by Bonferroni and generalised by many other researchers due to its capacity to capture the interrelationship between input arguments. Nevertheless, in many situations, interrelationships do not always exist between all of the attributes. Attributes can be partitioned into several different categories and members of intra-partition are interrelated while no interrelationship exists between attributes of different partitions. In this paper, as complements to the existing generalisations of BM, we investigate the partitioned Bonferroni mean (PBM) under intuitionistic uncertain linguistic environments and develop two linguistic aggregation operators: intuitionistic uncertain linguistic partitioned Bonferroni mean (IULPBM) and its weighted form (WIULPBM). Then, motivated by the ideal of geometric mean and PBM, we further present the partitioned geometric Bonferroni mean (PGBM) and develop two linguistic geometric aggregation operators: intuitionistic uncertain linguistic partitioned geometric Bonferroni mean (IULPGBM) and its weighted form (WIULPGBM). Some properties and special cases of these proposed operators are also investigated and discussed in detail. Based on these operators, an approach for multiple attribute decision-making problems with intuitionistic uncertain linguistic information is developed. Finally, a practical example is presented to illustrate the developed approach and comparison analyses are conducted with other representative methods to verify the effectiveness and feasibility of the developed approach. Journal: International Journal of Systems Science Pages: 1092-1105 Issue: 5 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1239140 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1239140 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:1092-1105 Template-Type: ReDIF-Article 1.0 Author-Name: Sungryul Lee Author-X-Name-First: Sungryul Author-X-Name-Last: Lee Title: Consensus of feedforward nonlinear systems with a time-varying communication delay Abstract: The consensus problem of feedforward nonlinear systems under an undirected network with a time-varying communication delay is studied. In order to solve this problem, new consensus controller with an additional design parameter that can eliminate the effect of a feedforward nonlinearity and a time-varying communication delay on the consensus problem is proposed. Also, it is proved that if an upper bound of time-varying delay is known, the proposed consensus controller can always solve the consensus problem of multi-agent systems even in the presence of feedforward nonlinearity and an arbitrarily large communication delay. A numerical example is given to illustrate the validness of the proposed approach. Journal: International Journal of Systems Science Pages: 1106-1114 Issue: 5 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1239141 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1239141 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:1106-1114 Template-Type: ReDIF-Article 1.0 Author-Name: Mao-long Lv Author-X-Name-First: Mao-long Author-X-Name-Last: Lv Author-Name: Xiu-xia Sun Author-X-Name-First: Xiu-xia Author-X-Name-Last: Sun Author-Name: Shu-guang Liu Author-X-Name-First: Shu-guang Author-X-Name-Last: Liu Author-Name: Dong Wang Author-X-Name-First: Dong Author-X-Name-Last: Wang Title: Adaptive tracking control for non-affine nonlinear systems with non-affine function possibly being discontinuous Abstract: A novel adaptive control scheme is presented for a class of non-affine nonlinear systems with non-affine nonlinear function possibly being discontinuous. A discontinuous condition for non-affine nonlinear systems is present to guarantee the controllability of system. The non-affine nonlinear function is modelled appropriately by using piecewise functions. Based on Lyapunov analysis method, the basic idea of invariant set theory is constructively introduced to prove the boundedness of all the signals in the closed-loop system. Finally, simulation example is provided to demonstrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 1115-1122 Issue: 5 Volume: 48 Year: 2017 Month: 4 X-DOI: 10.1080/00207721.2016.1239142 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1239142 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:5:p:1115-1122 Template-Type: ReDIF-Article 1.0 Author-Name: Wu-E Yang Author-X-Name-First: Wu-E Author-X-Name-Last: Yang Author-Name: Chao-Qun Ma Author-X-Name-First: Chao-Qun Author-X-Name-Last: Ma Author-Name: Zhi-Qiu Han Author-X-Name-First: Zhi-Qiu Author-X-Name-Last: Han Title: Linguistic multi-criteria decision-making with representing semantics by programming Abstract: A linguistic multi-criteria decision-making method is introduced. In this method, a maximising discrimination programming assigns the semanteme values to linguistic variables to represent their semantics. Incomplete preferences from using linguistic information are expressed by the constraints of the model. Such assignment can amplify the difference between alternatives. Thus, the discrimination of the decision model is increased, which facilitates the decision-maker to rank or order the alternatives for making a decision. We also discuss the parameter setting and its influence, and use an application example to illustrate the proposed method. Further, the results with three types of semantic structure highlight the ability of the method in handling different semantic structures. Journal: International Journal of Systems Science Pages: 225-235 Issue: 2 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1177129 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1177129 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:225-235 Template-Type: ReDIF-Article 1.0 Author-Name: Shun Wang Author-X-Name-First: Shun Author-X-Name-Last: Wang Author-Name: Ming Zeng Author-X-Name-First: Ming Author-X-Name-Last: Zeng Author-Name: Ju H. Park Author-X-Name-First: Ju H. Author-X-Name-Last: Park Author-Name: Lixian Zhang Author-X-Name-First: Lixian Author-X-Name-Last: Zhang Author-Name: Tasawar Hayat Author-X-Name-First: Tasawar Author-X-Name-Last: Hayat Author-Name: Ahmed Alsaedi Author-X-Name-First: Ahmed Author-X-Name-Last: Alsaedi Title: Finite-time control for networked switched linear systems with an event-driven communication approach Abstract: This paper is concerned with the network-based finite-time controller design problems for a class of switched linear systems with sampled-data control approach, the quantisation errors are also taken into account. A novel event-driven communication scheme is developed which can be seen as the extension of time-driven communication cases. By invoking an input-delay approach, the networked switched control systems are firstly modelled as a kind of switched time-delay systems with time-varying delays, upon which a set of mode-dependent controllers are then designed such that the reformulated switched system with time-varying delays is finite-time bounded and has a guaranteed noise attenuation performance in the finite-time H∞$\mathscr {H} _{\infty }$ sense. Moreover, a co-design algorithm of mode-dependent control and event-driven communication is presented to find the optimal event-driven strategy for reducing transmission loads. Finally, a numerical example and an application to F-18 aircraft are provided to demonstrate the effectiveness and the advantages of the developed results. Journal: International Journal of Systems Science Pages: 236-246 Issue: 2 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1177130 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1177130 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:236-246 Template-Type: ReDIF-Article 1.0 Author-Name: R. Sakthivel Author-X-Name-First: R. Author-X-Name-Last: Sakthivel Author-Name: M. Rathika Author-X-Name-First: M. Author-X-Name-Last: Rathika Author-Name: Srimanta Santra Author-X-Name-First: Srimanta Author-X-Name-Last: Santra Author-Name: M. Muslim Author-X-Name-First: M. Author-X-Name-Last: Muslim Title: Observer-based dissipative control for Markovian jump systems via delta operators Abstract: This paper addresses the issue of observer-based dissipative control problem for a class of Markovian jump systems with random delay via delta operator approach. First, based on the construction of a novel Lyapunov functional together with the use of free-weighting matrix approach, a new set of sufficient conditions is established which ensures the stochastic asymptotic stability and dissipativity of the closed-loop augmented Markovian jump delta operator system. Next, the result is extended to design an observer-based state feedback dissipative control law such that the resulting closed-loop system is stochastically asymptotically stable with the desired dissipative performance index. Further, the existence of control laws is formulated in the form of linear matrix inequalities (LMIs) which can be easily solved by using some standard numerical packages. Also, the observer and control gains can be calculated by using the solutions of an obtained set of LMIs. It is worth pointing out that the dissipative control problem considered here includes the H∞ and passivity-based control problems as special cases. Finally, two numerical examples with simulation are presented to demonstrate the effectiveness of the obtained design technique. Journal: International Journal of Systems Science Pages: 247-256 Issue: 2 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1177131 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1177131 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:247-256 Template-Type: ReDIF-Article 1.0 Author-Name: Changchun Hua Author-X-Name-First: Changchun Author-X-Name-Last: Hua Author-Name: Shuangshuang Wu Author-X-Name-First: Shuangshuang Author-X-Name-Last: Wu Author-Name: Xian Yang Author-X-Name-First: Xian Author-X-Name-Last: Yang Author-Name: Xinping Guan Author-X-Name-First: Xinping Author-X-Name-Last: Guan Title: Stability analysis of time-delay systems via free-matrix-based double integral inequality Abstract: Based on the free-weighting matrix and integral-inequality methods, a free-matrix-based double integral inequality is proposed in this paper, which includes the Wirtinger-based double integral inequality as a special case. By introducing some free matrices into the inequality, more freedom can be provided in bounding the quadratic double integral. The connection of the new integral inequality and Wirtinger-based double one is well described, which gives a sufficient condition for the application of the new inequality to be less conservative. Furthermore, to investigate the effectiveness of the proposed inequality, a new delay-dependent stability criterion is derived in terms of linear matrix inequalities. Numerical examples are given to demonstrate the advantages of the proposed method. Journal: International Journal of Systems Science Pages: 257-263 Issue: 2 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1177132 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1177132 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:257-263 Template-Type: ReDIF-Article 1.0 Author-Name: Fatemeh Jahangiri Author-X-Name-First: Fatemeh Author-X-Name-Last: Jahangiri Author-Name: Heidar Ali Talebi Author-X-Name-First: Heidar Ali Author-X-Name-Last: Talebi Author-Name: Mohammad Bagher Menhaj Author-X-Name-First: Mohammad Bagher Author-X-Name-Last: Menhaj Author-Name: Christian Ebenbauer Author-X-Name-First: Christian Author-X-Name-Last: Ebenbauer Title: A new approach for minimum phase output definition Abstract: This paper presents a novel method for output redefinition for linear systems. The approach also determines possible relative degrees for the systems corresponding to any new output vector. To guarantee the minimum phase property with a prescribed relative degree, a set of new conditions is introduced. A key feature of these conditions is that there is no need to any form of transformations which make the scheme suitable for optimisation problems in control to ensure the minimum phase property. Moreover, the results are useful for sensor placement problems and for obtaining minimum phase approximations of non-minimum phase systems. Numerical examples including an example of unmanned aerial vehicle systems are given to demonstrate the effectiveness of the methodology. Journal: International Journal of Systems Science Pages: 264-271 Issue: 2 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1179815 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1179815 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:264-271 Template-Type: ReDIF-Article 1.0 Author-Name: Tingting Gao Author-X-Name-First: Tingting Author-X-Name-Last: Gao Author-Name: Jiangshuai Huang Author-X-Name-First: Jiangshuai Author-X-Name-Last: Huang Author-Name: Yong Zhou Author-X-Name-First: Yong Author-X-Name-Last: Zhou Author-Name: Yong-Duan Song Author-X-Name-First: Yong-Duan Author-X-Name-Last: Song Title: Robust adaptive tracking control of an underactuated ship with guaranteed transient performance Abstract: In this paper, a robust adaptive controller for a underactuated ship is proposed to make the ship follow a predefined path with guaranteed transient performance and arbitrarily small steady-state position error and orientation error, despite the presence of environmental disturbances induced by wave, wind and ocean current and unknown system parameters. We design a new adaptive state feedback controller and parameter estimators to guarantee converging exponentially by assuming all states are available. It is shown that the mean-square tracking errors are of order of an arbitrarily small design parameter, and the position error and the orientation error also decrease at a pre-specified exponential rate. Simulations with a commercial monohull ship using Matlab also demonstrate the effectiveness of the controllers. Journal: International Journal of Systems Science Pages: 272-279 Issue: 2 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1179816 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1179816 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:272-279 Template-Type: ReDIF-Article 1.0 Author-Name: Aihua Hu Author-X-Name-First: Aihua Author-X-Name-Last: Hu Author-Name: Jinde Cao Author-X-Name-First: Jinde Author-X-Name-Last: Cao Title: Consensus of multi-agent systems via intermittent event-triggered control Abstract: This paper addresses the consensus issue for multi-agent systems with fixed directed interaction topology, and each agent is supposed to have nonlinear dynamics. By introducing the event-triggered mechanism into intermittent control, suitable consensus protocols are provided, which can save communication resources and reduce the number of control updates. Based on the Lyapunov functional method and stability analysis for switching systems, both centralised and decentralised event-triggered strategies for consensus are proposed. Furthermore, the proof of Zeno behaviour being excluded is given. Finally, some numerical examples are shown to demonstrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 280-287 Issue: 2 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1179817 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1179817 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:280-287 Template-Type: ReDIF-Article 1.0 Author-Name: Mourad Kchaou Author-X-Name-First: Mourad Author-X-Name-Last: Kchaou Author-Name: Ahmed El-Hajjaji Author-X-Name-First: Ahmed Author-X-Name-Last: El-Hajjaji Title: Resilient sliding mode control for discrete-time descriptor fuzzy systems with multiple time delays Abstract: The resilient sliding mode control (SMC) problem for a class of discrete-time descriptor Takagi–Sugeno (T-S) fuzzy systems with multiple state delays is addressed. Attention is focused on the design of a discrete-time SMC such that the admissibility as well as the H∞ performance requirement of the sliding mode dynamics can be guaranteed in the presence of time delays and external disturbances. Based on a new sliding function, a delay-dependent sufficient condition is established to ensure the desired performance of the sliding mode dynamics on the specified sliding mode surface. Moreover, a resilient SMC law is established to satisfy the reaching condition. Finally, two examples are given to show the effectiveness and advantages of the proposed design SMC scheme. Journal: International Journal of Systems Science Pages: 288-301 Issue: 2 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1179818 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1179818 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:288-301 Template-Type: ReDIF-Article 1.0 Author-Name: Liang Cao Author-X-Name-First: Liang Author-X-Name-Last: Cao Author-Name: Yuan Tao Author-X-Name-First: Yuan Author-X-Name-Last: Tao Author-Name: Youqing Wang Author-X-Name-First: Youqing Author-X-Name-Last: Wang Author-Name: Juan Li Author-X-Name-First: Juan Author-X-Name-Last: Li Author-Name: Biao Huang Author-X-Name-First: Biao Author-X-Name-Last: Huang Title: Reliable control for nonlinear discrete-time systems with multiple intermittent faults in sensors or actuators Abstract: This study proposes a fault-tolerant control method for stochastic systems with multiple intermittent faults (IFs) and nonlinear disturbances, and both sensor and actuator faults are considered. The occurrence and disappearance of IFs are governed by Markov chain, and its transition probabilities are partly known. Hence, the faulty system can be described by a Markovian jump system (MJS). In order to ensure that the MJS is stochastically stable and satisfies H∞ performance index, mode-dependent output feedback controllers are modelled using linear matrix inequalities. Numerous sufficient conditions for stochastic stability are obtained on the basis of Lyapunov stability theory. Finally, the effectiveness of the developed method is evaluated on the three-tank system. Journal: International Journal of Systems Science Pages: 302-315 Issue: 2 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1179819 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1179819 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:302-315 Template-Type: ReDIF-Article 1.0 Author-Name: Jun-Wei Zhu Author-X-Name-First: Jun-Wei Author-X-Name-Last: Zhu Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Fault accommodation for linear systems with time-varying delay Abstract: This paper studies the fault accommodation problem for linear systems with time-varying delay, system uncertainties and external disturbances. A novel intermediate estimator-based fault tolerant control (FTC) scheme is proposed, where an intermediate estimator is constructed to estimate the states and the faults simultaneously, based on the estimation; an FTC compensation scheme is designed to eliminate the effects of faults, system uncertainties and time-varying delay. It is proved that the states of the closed-loop system are uniformly ultimately bounded. A simulation example shows the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 316-323 Issue: 2 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1181222 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1181222 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:316-323 Template-Type: ReDIF-Article 1.0 Author-Name: Mingjie Cai Author-X-Name-First: Mingjie Author-X-Name-Last: Cai Author-Name: Zhengrong Xiang Author-X-Name-First: Zhengrong Author-X-Name-Last: Xiang Author-Name: Jian Guo Author-X-Name-First: Jian Author-X-Name-Last: Guo Title: Adaptive finite-time control for a class of switched nonlinear systems using multiple Lyapunov functions Abstract: This paper investigates the problem of global adaptive finite-time stabilisation for a class of switched nonlinearly parameterised systems. Without requiring that each subsystem is globally adaptively finite-time stabilisable, a switched adaptive finite-time control scheme is developed by exploiting the multiple Lyapunov functions method and adding a power integrator technique. By using the parameter separation technique, the unknown parameters are separated from nonlinear functions. On the basis of finite-time Lyapunov stability theory, it is proved that the proposed controller can guarantee that the state of the resulting closed-loop system converges to the origin in finite time. Finally, an example is given to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 324-336 Issue: 2 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1181223 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1181223 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:324-336 Template-Type: ReDIF-Article 1.0 Author-Name: Changchun Hua Author-X-Name-First: Changchun Author-X-Name-Last: Hua Author-Name: Xinglong Sun Author-X-Name-First: Xinglong Author-X-Name-Last: Sun Author-Name: Xiu You Author-X-Name-First: Xiu Author-X-Name-Last: You Author-Name: Xinping Guan Author-X-Name-First: Xinping Author-X-Name-Last: Guan Title: Finite-time consensus control for second-order multi-agent systems without velocity measurements Abstract: This paper investigates the finite-time consensus problem for second-order multi-agent systems with unknown velocities and disturbances. By introducing the second-order sliding mode observer, two novel distributed finite-time protocols with only relative position measurements are proposed for the both cases with known and unknown boundaries of disturbances. On the basis of Lyapunov stability theorem and homogeneous theory, it is proved that the consensus can be achieved in finite time. Simulation examples are provided to show the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 337-346 Issue: 2 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1181224 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1181224 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:337-346 Template-Type: ReDIF-Article 1.0 Author-Name: Yan Liu Author-X-Name-First: Yan Author-X-Name-Last: Liu Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Author-Name: Xiao-Jian Li Author-X-Name-First: Xiao-Jian Author-X-Name-Last: Li Title: Fault-tolerant control for uncertain linear systems via adaptive and LMI approaches Abstract: This paper proposes a fault-tolerant control scheme for linear systems with mismatched uncertainties which are assumed to be norm-bounded, affine and polytopic, respectively. The linear fractional transformation (LFT) and linear matrix inequality (LMI) techniques are introduced to handle the mismatched uncertainties, and the adaptive techniques are used to compensate actuator faults. By using the cone complementary linearisation algorithm, the resulting stability criteria are converted into solvable ones. Then, on the basis of Lyapunov stability theory, it is shown that the solutions to the closed-loop system and error system are uniformly bounded, especially, the states converge asymptotically to zero. Finally, simulations are given to illustrate the effectiveness and advantages of the proposed theoretical results. Journal: International Journal of Systems Science Pages: 347-356 Issue: 2 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1181225 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1181225 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:347-356 Template-Type: ReDIF-Article 1.0 Author-Name: Engang Tian Author-X-Name-First: Engang Author-X-Name-Last: Tian Author-Name: Yinghui Hu Author-X-Name-First: Yinghui Author-X-Name-Last: Hu Author-Name: Yanbin Luo Author-X-Name-First: Yanbin Author-X-Name-Last: Luo Title: Sojourn-probability-dependent control for networked switched systems under asynchronous switching Abstract: This paper considers H∞ controller design for a class of networked switched discrete systems under asynchronous switching. The sojourn probability information – the probability of the switched systems staying in each subsystem – is first used to rebuild the networked switched systems. Also, a time-varying lag, depending on both the network-induced delays and switching signals, is taken into consideration between the switching instants of the controllers and systems model. By considering both sojourn probability information and asynchronous switching, a new kind of networked switched system model is proposed, wherein a set of random variables are proposed to describe the sojourn probabilities of the subsystems. Then, stability analysis and H∞ performance analysis under asynchronous switching are derived. It should be noted that the system performance depends not only on the time-varying lag, but also on the sojourn probabilities. Finally, an example is given to illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 357-366 Issue: 2 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1181226 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1181226 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:357-366 Template-Type: ReDIF-Article 1.0 Author-Name: Raja Rout Author-X-Name-First: Raja Author-X-Name-Last: Rout Author-Name: Bidyadhar Subudhi Author-X-Name-First: Bidyadhar Author-X-Name-Last: Subudhi Title: Inverse optimal self-tuning PID control design for an autonomous underwater vehicle Abstract: This paper presents a new approach to path following control design for an autonomous underwater vehicle (AUV). A NARMAX model of the AUV is derived first and then its parameters are adapted online using the recursive extended least square algorithm. An adaptive Propotional-Integral-Derivative (PID) controller is developed using the derived parameters to accomplish the path following task of an AUV. The gain parameters of the PID controller are tuned using an inverse optimal control technique, which alleviates the problem of solving Hamilton–Jacobian equation and also satisfies an error cost function. Simulation studies were pursued to verify the efficacy of the proposed control algorithm. From the obtained results, it is envisaged that the proposed NARMAX model-based self-tuning adaptive PID control provides good path following performance even in the presence of uncertainty arising due to ocean current or hydrodynamic parameter. Journal: International Journal of Systems Science Pages: 367-375 Issue: 2 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1186238 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1186238 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:367-375 Template-Type: ReDIF-Article 1.0 Author-Name: Faezeh Ebrahimzadeh Author-X-Name-First: Faezeh Author-X-Name-Last: Ebrahimzadeh Author-Name: Jason Sheng-Hong Tsai Author-X-Name-First: Jason Sheng-Hong Author-X-Name-Last: Tsai Author-Name: Ying Ting Liao Author-X-Name-First: Ying Ting Author-X-Name-Last: Liao Author-Name: Min-Ching Chung Author-X-Name-First: Min-Ching Author-X-Name-Last: Chung Author-Name: Shu-Mei Guo Author-X-Name-First: Shu-Mei Author-X-Name-Last: Guo Author-Name: Leang-San Shieh Author-X-Name-First: Leang-San Author-X-Name-Last: Shieh Author-Name: Li Wang Author-X-Name-First: Li Author-X-Name-Last: Wang Title: A generalised optimal linear quadratic tracker with universal applications – part 1: continuous-time systems Abstract: This paper presents a generalised optimal linear quadratic analog tracker (LQAT) with universal applications for the continuous-time (CT) systems. This includes: (1) a generalised optimal LQAT design for the system with the pre-specified trajectories of the output and the control input and additionally with both the input-to-output direct-feedthrough term and known/estimated system disturbances or extra input/output signals; (2) a new optimal filter-shaped proportional plus integral state-feedback LQAT design for non-square non-minimum phase CT systems to achieve a minimum phase-like tracking performance; (3) a new approach for computing the control zeros of the given non-square CT system; and (4) a one-learning-epoch input-constrained iterative learning LQAT design for the repetitive CT system. Journal: International Journal of Systems Science Pages: 376-396 Issue: 2 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1186239 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1186239 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:376-396 Template-Type: ReDIF-Article 1.0 Author-Name: Faezeh Ebrahimzadeh Author-X-Name-First: Faezeh Author-X-Name-Last: Ebrahimzadeh Author-Name: Jason Sheng-Hong Tsai Author-X-Name-First: Jason Sheng-Hong Author-X-Name-Last: Tsai Author-Name: Min-Ching Chung Author-X-Name-First: Min-Ching Author-X-Name-Last: Chung Author-Name: Ying Ting Liao Author-X-Name-First: Ying Ting Author-X-Name-Last: Liao Author-Name: Shu-Mei Guo Author-X-Name-First: Shu-Mei Author-X-Name-Last: Guo Author-Name: Leang-San Shieh Author-X-Name-First: Leang-San Author-X-Name-Last: Shieh Author-Name: Li Wang Author-X-Name-First: Li Author-X-Name-Last: Wang Title: A generalised optimal linear quadratic tracker with universal applications. Part 2: discrete-time systems Abstract: Contrastive to Part 1, Part 2 presents a generalised optimal linear quadratic digital tracker (LQDT) with universal applications for the discrete-time (DT) systems. This includes (1) a generalised optimal LQDT design for the system with the pre-specified trajectories of the output and the control input and additionally with both the input-to-output direct-feedthrough term and known/estimated system disturbances or extra input/output signals; (2) a new optimal filter-shaped proportional plus integral state-feedback LQDT design for non-square non-minimum phase DT systems to achieve a minimum-phase-like tracking performance; (3) a new approach for computing the control zeros of the given non-square DT systems; and (4) a one-learning-epoch input-constrained iterative learning LQDT design for the repetitive DT systems. Journal: International Journal of Systems Science Pages: 397-416 Issue: 2 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1186240 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1186240 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:397-416 Template-Type: ReDIF-Article 1.0 Author-Name: Wenjun Xiong Author-X-Name-First: Wenjun Author-X-Name-Last: Xiong Author-Name: Dan Zhang Author-X-Name-First: Dan Author-X-Name-Last: Zhang Author-Name: Jinde Cao Author-X-Name-First: Jinde Author-X-Name-Last: Cao Title: Impulsive synchronisation of singular hybrid coupled networks with time-varying nonlinear perturbation Abstract: The impulsive synchronisation of singular hybrid coupled systems with time-varying nonlinear perturbation is discussed in this paper. The synchronising impulsive effects are considered for singular hybrid coupled systems. A sufficient condition that ensures the synchronisation of singular impulsive dynamical networks is derived by applying a single pinning impulsive controller. Moreover, the convergence rate of the stability is estimated for the discussed dynamical network. Finally, simulation result is given to illustrate the effectiveness of the developed criteria. Journal: International Journal of Systems Science Pages: 417-424 Issue: 2 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1186241 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1186241 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:417-424 Template-Type: ReDIF-Article 1.0 Author-Name: F. Amini Author-X-Name-First: F. Author-X-Name-Last: Amini Author-Name: H. Khaloozadeh Author-X-Name-First: H. Author-X-Name-Last: Khaloozadeh Title: Robust fuzzy stabilisation of interval plants Abstract: The paper deals with the problem of stabilisation of interval systems. To this end, by using Takagi–Sugeno fuzzy mechanism, a Mamdani-type PID-like fuzzy controller is modified and extended to develop a new PID-like Takagi–Sugeno fuzzy stabilising controller for the plant described by an interval system. Indeed, a PID-like Takagi–Sugeno fuzzy controller and an interval plant are considered in the forward path of a unity feedback system, and parameters in Takagi–Sugeno fuzzy controller are determined so that the stability of the closed-loop system is assured. The closed-loop system has a multilinear uncertainty structure. Therefore, based on the Zero Exclusion Condition for multilinear uncertain systems, a new theorem presenting sufficient conditions for the Takagi–Sugeno fuzzy controller to be robust stability guaranteed is also derived. An example is given to illustrate the application and the effectiveness of the proposed controller. Journal: International Journal of Systems Science Pages: 436-450 Issue: 2 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1186244 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1186244 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:436-450 Template-Type: ReDIF-Article 1.0 Author-Name: Juan-juan Peng Author-X-Name-First: Juan-juan Author-X-Name-Last: Peng Author-Name: Jian-qiang Wang Author-X-Name-First: Jian-qiang Author-X-Name-Last: Wang Author-Name: Wu-E Yang Author-X-Name-First: Wu-E Author-X-Name-Last: Yang Title: A multi-valued neutrosophic qualitative flexible approach based on likelihood for multi-criteria decision-making problems Abstract: In this paper, multi-criteria decision-making (MCDM) problems based on the qualitative flexible multiple criteria method (QUALIFLEX), in which the criteria values are expressed by multi-valued neutrosophic information, are investigated. First, multi-valued neutrosophic sets (MVNSs), which allow the truth-membership function, indeterminacy-membership function and falsity-membership function to have a set of crisp values between zero and one, are introduced. Then the likelihood of multi-valued neutrosophic number (MVNN) preference relations is defined and the corresponding properties are also discussed. Finally, an extended QUALIFLEX approach based on likelihood is explored to solve MCDM problems where the assessments of alternatives are in the form of MVNNs; furthermore an example is provided to illustrate the application of the proposed method, together with a comparison analysis. Journal: International Journal of Systems Science Pages: 425-435 Issue: 2 Volume: 48 Year: 2017 Month: 1 X-DOI: 10.1080/00207721.2016.1218975 File-URL: http://hdl.handle.net/10.1080/00207721.2016.1218975 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:425-435 Template-Type: ReDIF-Article 1.0 Author-Name: Yong Chen Author-X-Name-First: Yong Author-X-Name-Last: Chen Author-Name: Chang Zhao Author-X-Name-First: Chang Author-X-Name-Last: Zhao Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Author-Name: Yukang Cui Author-X-Name-First: Yukang Author-X-Name-Last: Cui Author-Name: Ka-Wai Kwok Author-X-Name-First: Ka-Wai Author-X-Name-Last: Kwok Title: Stability and ℓ1-gain analysis for positive 2-D Markov jump systems Abstract: This paper investigates the problems of stability and $\ell _{1} $ℓ1-gain analysis for positive 2-dimensional (2-D) Markov jump systems. The mathematical model of 2-D Markov jump systems is established based on the Roesser model. Necessary and sufficient condition for stability and sufficient condition for $\ell _{1} $ℓ1-gain computation are derived. Furthermore, the stability and $\ell _{1} $ℓ1-gain conditions are extended to Markov jump systems with partially known transition probabilities. The effectiveness of the obtained theoretical findings is verified through two numerical examples. Journal: International Journal of Systems Science Pages: 2077-2087 Issue: 11 Volume: 50 Year: 2019 Month: 8 X-DOI: 10.1080/00207721.2019.1645229 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1645229 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:11:p:2077-2087 Template-Type: ReDIF-Article 1.0 Author-Name: Yu-Qun Han Author-X-Name-First: Yu-Qun Author-X-Name-Last: Han Author-Name: Shan-Liang Zhu Author-X-Name-First: Shan-Liang Author-X-Name-Last: Zhu Author-Name: De-Yu Duan Author-X-Name-First: De-Yu Author-X-Name-Last: Duan Author-Name: Shu-Guo Yang Author-X-Name-First: Shu-Guo Author-X-Name-Last: Yang Title: Adaptive neural output feedback tracking control for a class of nonlinear systems Abstract: In this paper, an adaptive neural output feedback control scheme based on backstepping technique and dynamic surface control (DSC) approach is developed to solve the tracking control problem for a class of nonlinear systems with unmeasurable states. Firstly, a nonlinear state observer is designed to estimate the unmeasurable states. Secondly, in the controller design process, radial basis function neural networks (RBFNNs) are utilised to approximate the unknown nonlinear functions, and then a novel adaptive neural output feedback tracking control scheme is developed via backstepping technique and DSC approach. It is shown that the proposed controller ensures that all signals of the closed-loop system remain bounded and the tracking error converges to a small neighbourhood around the origin. Finally, two numerical examples and one realistic example are given to illustrate the effectiveness of the proposed design approach. Journal: International Journal of Systems Science Pages: 2088-2101 Issue: 11 Volume: 50 Year: 2019 Month: 8 X-DOI: 10.1080/00207721.2019.1645918 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1645918 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:11:p:2088-2101 Template-Type: ReDIF-Article 1.0 Author-Name: Ai-Guo Wu Author-X-Name-First: Ai-Guo Author-X-Name-Last: Wu Author-Name: Ying Zhang Author-X-Name-First: Ying Author-X-Name-Last: Zhang Author-Name: Tong-Yang Jiang Author-X-Name-First: Tong-Yang Author-X-Name-Last: Jiang Title: Iterative algorithms for discrete periodic Riccati matrix equations Abstract: In this paper, two iterative algorithms are constructed to obtain the positive definite solutions of the discrete periodic algebraic Riccati matrix equations. In these two algorithms, the estimation of the unknown matrices are updated by using the available estimation information at the current iteration step. The convergence properties of the proposed algorithms are also given. Finally, numerical examples are employed to illustrate the effectiveness of the proposed algorithms. Journal: International Journal of Systems Science Pages: 2102-2112 Issue: 11 Volume: 50 Year: 2019 Month: 8 X-DOI: 10.1080/00207721.2019.1646345 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1646345 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:11:p:2102-2112 Template-Type: ReDIF-Article 1.0 Author-Name: Abdoualaziz Ben Braim Author-X-Name-First: Abdoualaziz Author-X-Name-Last: Ben Braim Author-Name: Fouad Mesquine Author-X-Name-First: Fouad Author-X-Name-Last: Mesquine Title: Pole assignment for continuous-time fractional order systems Abstract: The problem of pole assignment for linear continuous-time commensurate fractional order systems is addressed. The closed-loop poles are assigned in the adequate stability region according to the fractional derivative order α in $[0 \ 1] $[0 1] or in $[ 1 \ 2] $[1 2]. First, sufficient stability conditions are established for both cases. Then, link is made to a pole assignment procedure enabling one to ensure the closed-loop asymptotic stability. Furthermore, robustness of the pole assignment against parametric uncertainties for the fractional order differential system has been investigated for both cases. Finally, ease of application and effectiveness of the proposed approach are shown through a practical example.Abbreviations: FOS: Fractional order system; LHP: left half plan; RHP: right half plan; LMI: linear matrix inequality Journal: International Journal of Systems Science Pages: 2113-2125 Issue: 11 Volume: 50 Year: 2019 Month: 8 X-DOI: 10.1080/00207721.2019.1646837 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1646837 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:11:p:2113-2125 Template-Type: ReDIF-Article 1.0 Author-Name: Xuzhi Lai Author-X-Name-First: Xuzhi Author-X-Name-Last: Lai Author-Name: Peiyin Xiong Author-X-Name-First: Peiyin Author-X-Name-Last: Xiong Author-Name: Min Wu Author-X-Name-First: Min Author-X-Name-Last: Wu Title: Stable control strategy for a second-order nonholonomic planar underactuated mechanical system Abstract: This paper presents a stable control strategy for a planar four-link active–passive–active–active (APAA) underactuated mechanical system. The control objective is to move its end-point from any initial position to any target position. First, the controllers are designed to move the first link to the target angle which ensures the target position is within the reachable area of the planar three-link passive–active–active (PAA) system. Meantime, the system is reduced to a planar virtual Pendubot. Then, the periodic controllers are designed based on the nilpotent approximation model to make the first link return to the target angle and all angular velocities converge to zeroes, where the fuzzy modulating is added to adjust the convergence of angular velocities. Thus, the system is reduced to a planar virtual PAA system. Next, the control is divided into two stages, and based on the angle constraint relationships, the target angles of the planar virtual PAA system for the target position are obtained by using the online particle swarm optimisation algorithm. Each stage controllers are designed according to the target angles, so the end-point of the planar APAA system is controlled to the target position. Finally, the validity of the control strategy is demonstrated via simulations. Journal: International Journal of Systems Science Pages: 2126-2141 Issue: 11 Volume: 50 Year: 2019 Month: 8 X-DOI: 10.1080/00207721.2019.1647304 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1647304 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:11:p:2126-2141 Template-Type: ReDIF-Article 1.0 Author-Name: Rafael F. Cunha Author-X-Name-First: Rafael F. Author-X-Name-Last: Cunha Author-Name: Gabriela W. Gabriel Author-X-Name-First: Gabriela W. Author-X-Name-Last: Gabriel Author-Name: José C. Geromel Author-X-Name-First: José C. Author-X-Name-Last: Geromel Title: Robust partial sampled-data state feedback control of Markov jump linear systems Abstract: This paper proposes new conditions for the design of a robust partial sampled-data state feedback control law for Markov jump linear systems (MJLS). Although, as usual, the control structure depends on the Markov mode, only the state variable is sampled in order to cope with a specific network control structure. For analysis, an equivalent hybrid system is proposed and a two-point boundary value problem (TPBVP) that ensures minimum $\mathcal {H}_\infty $H∞ or $\mathcal {H}_2 $H2 cost is defined. For control synthesis, it is rewritten as a convex set of sufficient conditions leading to minimum guaranteed cost of the mentioned performance classes. The optimality conditions are expressed through differential linear matrix inequalities (DLMIs), a useful mathematical device that can be handled by means of any available LMI solver. Examples are included for illustration. Journal: International Journal of Systems Science Pages: 2142-2152 Issue: 11 Volume: 50 Year: 2019 Month: 8 X-DOI: 10.1080/00207721.2019.1647305 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1647305 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:11:p:2142-2152 Template-Type: ReDIF-Article 1.0 Author-Name: Marzieh Dehghani-Madiseh Author-X-Name-First: Marzieh Author-X-Name-Last: Dehghani-Madiseh Author-Name: Milan Hladík Author-X-Name-First: Milan Author-X-Name-Last: Hladík Title: Enclosing the solution set of the parametric generalised Sylvester matrix equation A(p)XB(p) + C(p)XD(p) = F(p) Abstract: In this paper, we investigate the parametric generalised Sylvester matrix equation $A(p)XB(p)+C(p)XD(p)=F(p) $A(p)XB(p)+C(p)XD(p)=F(p), whose elements are linear functions of uncertain parameters varying within intervals. This model generalises both interval matrix equations and parametric interval linear systems, so it is a quite general model. First, we give some sufficient conditions under which the solution set of this parametric equation is bounded. We then propose several approaches for enclosing the solution set that acquire tighter enclosures than those obtained by relaxing the parametric system to an interval system. Some special cases of interval systems that inherently are parametric (have dependent structure) are considered, too. Finally, numerical experiments are given to illustrate the effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 2153-2167 Issue: 11 Volume: 50 Year: 2019 Month: 8 X-DOI: 10.1080/00207721.2019.1647306 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1647306 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:11:p:2153-2167 Template-Type: ReDIF-Article 1.0 Author-Name: Shuyi Xiao Author-X-Name-First: Shuyi Author-X-Name-Last: Xiao Author-Name: Jiuxiang Dong Author-X-Name-First: Jiuxiang Author-X-Name-Last: Dong Title: Robust adaptive fault-tolerant control for time delay uncertain nonlinear systems with time-varying performance bounds Abstract: In this paper, a robust adaptive fault tolerant controller guaranteeing with time-varying performance bounds is designed for a class of time delay uncertain nonlinear systems subject to actuator failures and external disturbance. The influence of time delay on the system is mitigated and the system performance can be guaranteed by introducing a positive nonlinear control gain function and the generalised restricted potential function. A new method with more design degrees of freedom is developed to ensure the norm of the system state within a-priori, user-defined time varying performance bounds. Using the online estimation information provided by adaptive mechanism, a robust adaptive fault-tolerant control method guaranteeing time varying performance bounds is proposed. It is shown that all the signals of the resulting closed-loop system are bounded and the system state less than a-priori, user-defined performance bounds. Finally, simulation results are given to demonstrate the efficacy of the proposed fault-tolerant control method. Journal: International Journal of Systems Science Pages: 2168-2188 Issue: 11 Volume: 50 Year: 2019 Month: 8 X-DOI: 10.1080/00207721.2019.1647307 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1647307 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:11:p:2168-2188 Template-Type: ReDIF-Article 1.0 Author-Name: Weimin Peng Author-X-Name-First: Weimin Author-X-Name-Last: Peng Author-Name: Huifang Deng Author-X-Name-First: Huifang Author-X-Name-Last: Deng Author-Name: Aihong Chen Author-X-Name-First: Aihong Author-X-Name-Last: Chen Author-Name: Jing Chen Author-X-Name-First: Jing Author-X-Name-Last: Chen Title: Using relative von Neumann and Shannon entropies for feature fusion Abstract: This paper develops a new quantum inspired feature fusion method based on relative von Neumann entropy. The motivation is to more effectively reduce data redundancy and further improve the completeness and conciseness of the existing feature data. Regarding this, we quantise the source dataset into the collection of basic quantum states and constructed a weighted linking network to calculate the relative von Neumann entropies between feature samples. Thus, the detection and fusion of the duplicate feature samples in a subset is turned to the computation of the average relative von Neumann entropy and the measurement probabilities of the quantised feature samples. In parallel, the classical feature fusion method based on relative Shannon entropy is also proposed following similar idea. The experimental results show that the proposed feature fusion methods perform better in their completeness, conciseness, and stability. Journal: International Journal of Systems Science Pages: 2189-2199 Issue: 11 Volume: 50 Year: 2019 Month: 8 X-DOI: 10.1080/00207721.2019.1648703 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1648703 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:11:p:2189-2199 Template-Type: ReDIF-Article 1.0 Author-Name: He Zhang Author-X-Name-First: He Author-X-Name-Last: Zhang Author-Name: Jianfeng Zhu Author-X-Name-First: Jianfeng Author-X-Name-Last: Zhu Author-Name: Junwei Lu Author-X-Name-First: Junwei Author-X-Name-Last: Lu Author-Name: Yunliang Wei Author-X-Name-First: Yunliang Author-X-Name-Last: Wei Author-Name: Yuming Chu Author-X-Name-First: Yuming Author-X-Name-Last: Chu Title: Adaptive event-triggered control of discrete-time networked systems against randomly occurring infinite distributed delays, random packet losses and sensor saturation Abstract: The saturation input control problem of discrete-time networked systems via adaptive event-triggered communication scheme is discussed in this paper. The criteria are derived by utilising a new Lyapunov functional to guarantee that the considered networked system with randomly occurring infinite distributed delays, random packet losses and sensor saturation is exponentially stable in mean square sense. A novel adaptive event-triggered law is proposed, which is dependent on the exponentially stable index α. The effectiveness of our proposed method is illustrated by both theoretical analysis and numerical simulations. Journal: International Journal of Systems Science Pages: 2200-2215 Issue: 11 Volume: 50 Year: 2019 Month: 8 X-DOI: 10.1080/00207721.2019.1648704 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1648704 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:11:p:2200-2215 Template-Type: ReDIF-Article 1.0 Author-Name: Yao-Wei Wang Author-X-Name-First: Yao-Wei Author-X-Name-Last: Wang Author-Name: Wen-An Zhang Author-X-Name-First: Wen-An Author-X-Name-Last: Zhang Author-Name: Hui Dong Author-X-Name-First: Hui Author-X-Name-Last: Dong Author-Name: Li Yu Author-X-Name-First: Li Author-X-Name-Last: Yu Title: A GESO based MPC approach to contour error control of networked motion control system Abstract: This paper presents a generalised extended state observer (GESO) based model predictive control (MPC) approach to contour error control for networked multi-axis motion system (NMAMS) with network-induced delays. First, the uncertainties induced by the network-induced delays are modelled as an additive bounded disturbance, and a novel model predictive controller based on the GESO is designed for the uniaxial trajectory tracking control system. The GESO is used to estimate the system state and the disturbance simultaneously, and the effects of the uncertainties induced by the delays are eliminated by the proposed GESO based controller. Then the contour error estimation method is adopted, and a PID controller is designed to compensate the contour error. Finally, experiments are carried out to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2216-2225 Issue: 11 Volume: 50 Year: 2019 Month: 8 X-DOI: 10.1080/00207721.2019.1648705 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1648705 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:11:p:2216-2225 Template-Type: ReDIF-Article 1.0 Author-Name: Yue Wu Author-X-Name-First: Yue Author-X-Name-Last: Wu Author-Name: Jiuxiang Dong Author-X-Name-First: Jiuxiang Author-X-Name-Last: Dong Author-Name: Tieshan Li Author-X-Name-First: Tieshan Author-X-Name-Last: Li Title: Sensor fault estimation in finite-frequency domain for nonlinear time-delayed systems by T–S fuzzy model approach with local nonlinear models Abstract: This paper investigates the sensor fault estimation problem in finite-frequency domain for nonlinear time-delayed systems via T–S fuzzy approach with local nonlinear models. First, to estimate the fault, an augmented system is constructed, where the auxiliary state vector consists of the states of the system and the auxiliary filter. Second, an $H_\infty $H∞ unknown input observer with finite-frequency specifications is designed to achieve fault estimation. Then, by utilising the Parseval's theorem, the sufficient conditions of the presented observer are established. Different from some existing methods, the state estimation error dynamics are decoupled from the local nonlinear dynamics via the designed observer such that the observer synthesis is simplified and the conservatism can be reduced. Meanwhile, compared with some conventional methods in the entire-frequency domain, a less restrictive analysis condition could be derived by the developed observer scheme. Finally, simulation results are given to illustrate the merit of the proposed approach. Journal: International Journal of Systems Science Pages: 2226-2247 Issue: 11 Volume: 50 Year: 2019 Month: 8 X-DOI: 10.1080/00207721.2019.1648708 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1648708 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:11:p:2226-2247 Template-Type: ReDIF-Article 1.0 Author-Name: Dong Wang Author-X-Name-First: Dong Author-X-Name-Last: Wang Author-Name: Wei Wang Author-X-Name-First: Wei Author-X-Name-Last: Wang Author-Name: Peng Shi Author-X-Name-First: Peng Author-X-Name-Last: Shi Title: Design on -filtering for discrete-time switched delay systems Abstract: This article is concerned with the delay-dependent H∞-filtering problem for discrete-time switched systems with a state delay. By using the switched Lyapunov functional method and choosing a new Lyapunov–Krasovskii functional, and, furthermore, utilising the linearisation technique, sufficient conditions on the existence of a desired filter are formulated as strict linear matrix inequalities. Neither model transformation nor the bounding technique for cross-terms is involved. A numerical example is provided to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1965-1973 Issue: 12 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003653724 File-URL: http://hdl.handle.net/10.1080/00207721003653724 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:12:p:1965-1973 Template-Type: ReDIF-Article 1.0 Author-Name: Shen-Lung Tung Author-X-Name-First: Shen-Lung Author-X-Name-Last: Tung Author-Name: Yau-Tarng Juang Author-X-Name-First: Yau-Tarng Author-X-Name-Last: Juang Author-Name: Wei-Ying Wu Author-X-Name-First: Wei-Ying Author-X-Name-Last: Wu Author-Name: Wern-Yarng Shieh Author-X-Name-First: Wern-Yarng Author-X-Name-Last: Shieh Title: An improved stability test and stabilisation of linear time-varying systems governed by second-order vector differential equations Abstract: In this article, the problems of exponential stability analysis and stabilisation of linear time-varying systems described by a class of second-order vector differential equations are considered. Using bounding techniques on the trajectories of a linear time-varying system, the stability problem of the time-varying system is transformed to that of a time-invariant system and a new sufficient condition for the exponential stability is obtained. Moreover, the new criterion is proven to be superior to a test presented in the recent literature. Finally, the proposed criterion is applied to the exponential stabilisation problem via state feedback. The results are illustrated by several numerical examples. Journal: International Journal of Systems Science Pages: 1975-1980 Issue: 12 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003658210 File-URL: http://hdl.handle.net/10.1080/00207721003658210 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:12:p:1975-1980 Template-Type: ReDIF-Article 1.0 Author-Name: Ke-Cai Cao Author-X-Name-First: Ke-Cai Author-X-Name-Last: Cao Title: Global 𝒦-exponential trackers for nonholonomic chained-form systems based on LMI Abstract: Global 𝒦-exponential controllers are constructed for the tracking control problem of nonholonomic systems in chained form. Compared to previously published papers, a difference is that the reference targets are allowed to converge to a point exponentially. By using a novel transformation and the cascade-design method, the tracking control problem is converted into a stabilisation problem composed of two simple subsystems. Then the LMI-design approach is developed for the stabilising one of the above two subsystems. Assumptions on the reference signal is much more relaxed than our previous papers. A peculiar character of the presented methodology is that global 𝒦-exponential tracking can be successfully obtained for nonholonomic chained-form systems without the popular condition of persistent excitation or not converging to zero. Simulation results on a unicycle mobile robot and an articulated vehicle are presented to show the validity of the proposed strategy. Journal: International Journal of Systems Science Pages: 1981-1992 Issue: 12 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003706837 File-URL: http://hdl.handle.net/10.1080/00207721003706837 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:12:p:1981-1992 Template-Type: ReDIF-Article 1.0 Author-Name: Octavian Pastravanu Author-X-Name-First: Octavian Author-X-Name-Last: Pastravanu Author-Name: Mihaela-Hanako Matcovschi Author-X-Name-First: Mihaela-Hanako Author-X-Name-Last: Matcovschi Title: Invariance properties of interval dynamical systems Abstract: This article analyses the flow (positive) invariance of different types of time-dependent sets with respect to the dynamics of interval systems (state-space models described by interval matrices) in both discrete and continuous time. The investigated sets have general shapes, defined in terms of Hőlder vector p-norms, . The time dependence of the sets is separately considered arbitrary and exponentially decreasing. We develop procedures that explore set invariance by using (i) a single test matrix, introduced as a majorant of the interval matrix and (ii) all the distinct vertices of the matrix polytope corresponding to the interval matrix. In case (i) we provide sufficient conditions for all p, , whereas the necessity is guaranteed only for ; in case (ii) we formulate necessary and sufficient conditions valid for all p, . Our analysis shows that the existence of invariant sets (with arbitrary or exponential time-dependence, defined by a p-norm) approaching the state-space origin for infinite time horizon implies the asymptotic stability. Some examples are presented to provide intuitive support for the theoretical concepts and to illustrate the applicability of the main results. Journal: International Journal of Systems Science Pages: 1993-2007 Issue: 12 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003706845 File-URL: http://hdl.handle.net/10.1080/00207721003706845 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:12:p:1993-2007 Template-Type: ReDIF-Article 1.0 Author-Name: J. Escobar Author-X-Name-First: J. Author-X-Name-Last: Escobar Author-Name: A. Poznyak Author-X-Name-First: A. Author-X-Name-Last: Poznyak Title: Time-varying matrix estimation in stochastic continuous-time models under coloured noise using LSM with forgetting factor Abstract: In this article, we deal with time-varying matrix estimation in continuous-time stochastic models under a coloured noise. The suggested estimation algorithm is based on the least squares method (LSM) with forgetting factor. The forming filter generating this ‘coloured‘ noise from a standard ‘white noise’ is assumed to be partially known. An analysis of the convergence zone is presented. A numerical example illustrates the effectiveness of the proposed algorithm. Journal: International Journal of Systems Science Pages: 2009-2020 Issue: 12 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003706852 File-URL: http://hdl.handle.net/10.1080/00207721003706852 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:12:p:2009-2020 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaolin Liang Author-X-Name-First: Xiaolin Author-X-Name-Last: Liang Author-Name: Yeh Lam Author-X-Name-First: Yeh Author-X-Name-Last: Lam Author-Name: Zehui Li Author-X-Name-First: Zehui Author-X-Name-Last: Li Title: Optimal replacement policy for a general geometric process model with δ-shock Abstract: In this article, a general geometric process model with δ-shock for a deteriorating system and an improving system is studied. A system will fail as soon as a shock arrives with interarrival time being inside a real set. Assume that a replacement policy N is adopted by which the system will be replaced by a new, identical one at the time following the N-th failure. Then the optimal replacement policy N* for minimising the long-run average cost per unit time is determined analytically. Finally, the sensitivity analysis is studied. Journal: International Journal of Systems Science Pages: 2021-2034 Issue: 12 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003706860 File-URL: http://hdl.handle.net/10.1080/00207721003706860 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:12:p:2021-2034 Template-Type: ReDIF-Article 1.0 Author-Name: Jerzy Tokarzewski Author-X-Name-First: Jerzy Author-X-Name-Last: Tokarzewski Title: On a geometric characterisation of zeros for non-square linear systems with time-delay in state Abstract: The concept of invariant zeros in a linear time-invariant system with point delay in state vector is discussed in the state space framework. These zeros are treated as the triples: complex number, non-zero state-zero direction and input-zero direction. Such treatment is strictly related to the output-zeroing problem and in that spirit the zeros can be easily interpreted. As is shown, for systems with matrix CB of full row-rank, general formulas for output-zeroing inputs can be obtained as well as a characterisation of invariant zeros as the roots of a certain quasi-polynomial can be given. The question of degeneracy/non-degeneracy of the system is also addressed. Moreover, it is shown that diagonal decoupling can be achieved by constant state feedbacks and a pre-compensator. The transfer matrix of the decoupled system is square and does not contain delay. The mathematical tools used in the analysis are the Moore–Penrose pseudo-inverse and singular value decomposition of a matrix. Journal: International Journal of Systems Science Pages: 2035-2043 Issue: 12 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003706878 File-URL: http://hdl.handle.net/10.1080/00207721003706878 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:12:p:2035-2043 Template-Type: ReDIF-Article 1.0 Author-Name: Emanuel Gluskin Author-X-Name-First: Emanuel Author-X-Name-Last: Gluskin Author-Name: Joris Walraevens Author-X-Name-First: Joris Author-X-Name-Last: Walraevens Title: On two generalisations of the final value theorem: scientific relevance, first applications, and physical foundations Abstract: The present work considers two published generalisations of the Laplace-transform final value theorem (FVT) and some recently appeared applications of one of these generalisations to the fields of physical stochastic processes and Internet queueing. Physical sense of the irrational time functions, involved in the other generalisation, is one of the points of concern. The work strongly extends the conceptual frame of the references and outlines some new research directions for applications of the generalised theorem. Journal: International Journal of Systems Science Pages: 2045-2055 Issue: 12 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003706886 File-URL: http://hdl.handle.net/10.1080/00207721003706886 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:12:p:2045-2055 Template-Type: ReDIF-Article 1.0 Author-Name: M. Vakil Author-X-Name-First: M. Author-X-Name-Last: Vakil Author-Name: R. Fotouhi Author-X-Name-First: R. Author-X-Name-Last: Fotouhi Author-Name: P.N. Nikiforuk Author-X-Name-First: P.N. Author-X-Name-Last: Nikiforuk Title: End-effector trajectory tracking of a flexible link manipulator using integral manifold concept Abstract: A new controller for the end-effector trajectory tracking of a single flexible link manipulator is introduced. The linear dynamic model of the single flexible link manipulator is expressed in the singularly perturbed form. To reduce the end-effector trajectory tracking error, a corrective torque is added to the computed torque command of the rigid link counterpart of the single flexible link manipulator. The corrective torque is derived based on the concept of the integral manifold of the singularly perturbed differential equations. This corrective torque is of order ε2 where , and f is the fundamental natural frequency of the single flexible link manipulator. The implementation of the introduced technique does not require the full-state measurements since by designing an observer, the time derivative of the link's lateral deflection is estimated. The stability proof of the new controller, which is based on the Lyapunov criterion, is presented. The results of the simulation and experimental studies are also included to, respectively, show the effectiveness and feasibility of the new controller. Journal: International Journal of Systems Science Pages: 2057-2069 Issue: 12 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003710631 File-URL: http://hdl.handle.net/10.1080/00207721003710631 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:12:p:2057-2069 Template-Type: ReDIF-Article 1.0 Author-Name: Tingting Wang Author-X-Name-First: Tingting Author-X-Name-Last: Wang Author-Name: Feng Chen Author-X-Name-First: Feng Author-X-Name-Last: Chen Author-Name: Yi-Ping Chen Author-X-Name-First: Yi-Ping Author-X-Name-Last: Chen Title: Ranking inter-relationships between clusters Abstract: The evaluation of the relationships between clusters is important to identify vital unknown information in many real-life applications, such as in the fields of crime detection, evolution trees, metallurgical industry and biology engraftment. This article proposes a method called ‘mode pattern + mutual information’ to rank the inter-relationship between clusters. The idea of the mode pattern is used to find outstanding objects from each cluster, and the mutual information criterion measures the close proximity of a pair of clusters. Our approach is different from the conventional algorithms of classifying and clustering, because our focus is not to classify objects into different clusters, but instead, we aim to rank the inter-relationship between clusters when the clusters are given. We conducted experiments on a wide range of real-life datasets, including image data and cancer diagnosis data. The experimental results show that our algorithm is effective and promising. Journal: International Journal of Systems Science Pages: 2071-2083 Issue: 12 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003710649 File-URL: http://hdl.handle.net/10.1080/00207721003710649 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:12:p:2071-2083 Template-Type: ReDIF-Article 1.0 Author-Name: Antonio Pietrabissa Author-X-Name-First: Antonio Author-X-Name-Last: Pietrabissa Title: A new LP formulation of the admission control problem modelled as an MDP under average reward criterion Abstract: The admission control problem can be modelled as a Markov decision process (MDP) under the average cost criterion and formulated as a linear programming (LP) problem. The LP formulation is attractive in the present and future communication networks, which support an increasing number of classes of service, since it can be used to explicitly control class-level requirements, such as class blocking probabilities. On the other hand, the LP formulation suffers from scalability problems as the number C of classes increases. This article proposes a new LP formulation, which, even if it does not introduce any approximation, is much more scalable: the problem size reduction with respect to the standard LP formulation is O((C + 1)2/2C). Theoretical and numerical simulation results prove the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 2085-2096 Issue: 12 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003717289 File-URL: http://hdl.handle.net/10.1080/00207721003717289 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:12:p:2085-2096 Template-Type: ReDIF-Article 1.0 Author-Name: V. Mani Author-X-Name-First: V. Author-X-Name-Last: Mani Author-Name: Pei-Chann Chang Author-X-Name-First: Pei-Chann Author-X-Name-Last: Chang Author-Name: Shih-Hsin Chen Author-X-Name-First: Shih-Hsin Author-X-Name-Last: Chen Title: Single-machine scheduling with past-sequence-dependent setup times and learning effects: a parametric analysis Abstract: In this article, we consider the single-machine scheduling problem with past-sequence-dependent (p-s-d) setup times and a learning effect. The setup times are proportional to the length of jobs that are already scheduled; i.e. p-s-d setup times. The learning effect reduces the actual processing time of a job because the workers are involved in doing the same job or activity repeatedly. Hence, the processing time of a job depends on its position in the sequence. In this study, we consider the total absolute difference in completion times (TADC) as the objective function. This problem is denoted as 1/LE, spsd/TADC in Kuo and Yang (2007) (‘Single Machine Scheduling with Past-sequence-dependent Setup Times and Learning Effects’, Information Processing Letters, 102, 22–26). There are two parameters a and b denoting constant learning index and normalising index, respectively. A parametric analysis of b on the 1/LE, spsd/TADC problem for a given value of a is applied in this study. In addition, a computational algorithm is also developed to obtain the number of optimal sequences and the range of b in which each of the sequences is optimal, for a given value of a. We derive two bounds b* for the normalising constant b and a* for the learning index a. We also show that, when a < a* or b > b*, the optimal sequence is obtained by arranging the longest job in the first position and the rest of the jobs in short processing time order. Journal: International Journal of Systems Science Pages: 2097-2102 Issue: 12 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003718436 File-URL: http://hdl.handle.net/10.1080/00207721003718436 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:12:p:2097-2102 Template-Type: ReDIF-Article 1.0 Author-Name: Guozhong Bai Author-X-Name-First: Guozhong Author-X-Name-Last: Bai Author-Name: Xiao-Xiong Gan Author-X-Name-First: Xiao-Xiong Author-X-Name-Last: Gan Title: JIT-transportation problem and its algorithm Abstract: This article introduces the (just-in-time) JIT-transportation problem, which requires that all demanded goods be shipped to their destinations on schedule, at a zero or minimal destination-storage cost. The JIT-transportation problem is a special goal programming problem with discrete constraints. This article provides a mathematical model for such a transportation problem and introduces the JIT solution, the deviation solution, the JIT deviation, etc. By introducing the B(λ)-problem, this article establishes the equivalence between the optimal solutions of the B(λ)-problem and the optimal solutions of the JIT-transportation problem, and then provides an algorithm for the JIT-transportation problems. This algorithm is proven mathematically and is also illustrated by an example. Journal: International Journal of Systems Science Pages: 2103-2111 Issue: 12 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003731603 File-URL: http://hdl.handle.net/10.1080/00207721003731603 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:12:p:2103-2111 Template-Type: ReDIF-Article 1.0 Author-Name: Zhifeng Gao Author-X-Name-First: Zhifeng Author-X-Name-Last: Gao Author-Name: Bin Jiang Author-X-Name-First: Bin Author-X-Name-Last: Jiang Author-Name: Ruiyun Qi Author-X-Name-First: Ruiyun Author-X-Name-Last: Qi Author-Name: Yufei Xu Author-X-Name-First: Yufei Author-X-Name-Last: Xu Title: Robust reliable control for a near space vehicle with parametric uncertainties and actuator faults Abstract: Based on fuzzy control techniques, this article is concerned with the problem of robust reliable control for a near space vehicle (NSV) with parametric uncertainties and actuator faults. The nonlinear dynamics of a NSV is represented by the Takagi–Sugeno fuzzy models, and then the actuator fault model and fuzzy state-space observer are developed. Next, the fuzzy observer-based robust reliable control strategy is proposed. It is proved that the fuzzy control systems for the NSV is reliable in the sense that the closed-loop system is asymptotically stable and the actuator components can operate well in the presence of some actuator faults. The developed theoretical results are in the form of linear matrix inequalities, which can be readily solved via standard numerical software. Finally, simulation results are given to illustrate the applicability of the proposed approach. Journal: International Journal of Systems Science Pages: 2113-2124 Issue: 12 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003731611 File-URL: http://hdl.handle.net/10.1080/00207721003731611 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:12:p:2113-2124 Template-Type: ReDIF-Article 1.0 Author-Name: Fucai Qian Author-X-Name-First: Fucai Author-X-Name-Last: Qian Author-Name: Guo Xie Author-X-Name-First: Guo Author-X-Name-Last: Xie Author-Name: Ding Liu Author-X-Name-First: Ding Author-X-Name-Last: Liu Author-Name: Wenfang Xie Author-X-Name-First: Wenfang Author-X-Name-Last: Xie Title: Optimal control of LQG problem with an explicit trade-off between mean and variance Abstract: For discrete-time linear-quadratic Gaussian (LQG) control problems, a utility function on the expectation and the variance of the conventional performance index is considered. The utility function is viewed as an overall objective of the system and can perform the optimal trade-off between the mean and the variance of performance index. The nonlinear utility function is first converted into an auxiliary parameters optimisation problem about the expectation and the variance. Then an optimal closed-loop feedback controller for the nonseparable mean–variance minimisation problem is designed by nonlinear mathematical programming. Finally, simulation results are given to verify the algorithm's effectiveness obtained in this article. Journal: International Journal of Systems Science Pages: 1957-1964 Issue: 12 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003764133 File-URL: http://hdl.handle.net/10.1080/00207721003764133 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:12:p:1957-1964 Template-Type: ReDIF-Article 1.0 Author-Name: Shuai Yuan Author-X-Name-First: Shuai Author-X-Name-Last: Yuan Author-Name: Xinzhi Liu Author-X-Name-First: Xinzhi Author-X-Name-Last: Liu Title: Fault estimator design for a class of switched systems with time-varying delay Abstract: This article studies the problem of fault estimator design for switched time-delay systems with impulsive control. The delay signal is assumed to be uniformly bounded, differentiable and has a bounded derivative. The problem is first formulated in the framework of H∞ filtering by incorporating a priori knowledge of the fault into the design procedure. A hybrid controller, composed of a fault estimator and an impulsive controller, is constructed. Some delay-dependent sufficient conditions are derived on the existence of the hybrid controller by using the multiple Lyapunov functional approach. In addition, based on the cone complementarity algorithm, the solutions to the parameter matrices are obtained by solving a set of linear matrix inequalities. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 2125-2135 Issue: 12 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003770726 File-URL: http://hdl.handle.net/10.1080/00207721003770726 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:12:p:2125-2135 Template-Type: ReDIF-Article 1.0 Author-Name: Jiahu Qin Author-X-Name-First: Jiahu Author-X-Name-Last: Qin Author-Name: Huijun Gao Author-X-Name-First: Huijun Author-X-Name-Last: Gao Author-Name: Wei Xing Zheng Author-X-Name-First: Wei Xing Author-X-Name-Last: Zheng Title: On average consensus in directed networks of agents with switching topology and time delay Abstract: In this article, the average consensus problem in directed networks of agents with both switching topology and coupling delay is investigated. First, based on a specific orthogonal transformation of the Laplacian matrix, an important proposition for verifying the positive definiteness of a class of quadratic forms is provided, which is of independent interest in matrix theory. And the relation between weakly connected and strongly connected digraphs is also investigated. Then, it is proved that all the agents reach the average consensus asymptotically for appropriate time delay if the communication topology keeps weakly connected and balanced. Finally, a numerical example is given to demonstrate the effectiveness and advantage of the new result. Journal: International Journal of Systems Science Pages: 1947-1956 Issue: 12 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003802271 File-URL: http://hdl.handle.net/10.1080/00207721003802271 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:12:p:1947-1956 Template-Type: ReDIF-Article 1.0 Author-Name: Chung-Ho Chen Author-X-Name-First: Chung-Ho Author-X-Name-Last: Chen Author-Name: Chih-Lun Lu Author-X-Name-First: Chih-Lun Author-X-Name-Last: Lu Title: Optimum profit model considering production, quality and sale problem Abstract: Chen and Liu [‘Procurement Strategies in the Presence of the Spot Market-an Analytical Framework’, Production Planning and Control, 18, 297–309] presented the optimum profit model between the producers and the purchasers for the supply chain system with a pure procurement policy. However, their model with a simple manufacturing cost did not consider the used cost of the customer. In this study, the modified Chen and Liu's model will be addressed for determining the optimum product and process parameters. The authors propose a modified Chen and Liu's model under the two-stage screening procedure. The surrogate variable having a high correlation with the measurable quality characteristic will be directly measured in the first stage. The measurable quality characteristic will be directly measured in the second stage when the product decision cannot be determined in the first stage. The used cost of the customer will be measured by adopting Taguchi's quadratic quality loss function. The optimum purchaser's order quantity, the producer's product price and the process quality level will be jointly determined by maximising the expected profit between them. Journal: International Journal of Systems Science Pages: 1917-1933 Issue: 12 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2010.543479 File-URL: http://hdl.handle.net/10.1080/00207721.2010.543479 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:12:p:1917-1933 Template-Type: ReDIF-Article 1.0 Author-Name: Ali Koshkouei Author-X-Name-First: Ali Author-X-Name-Last: Koshkouei Author-Name: Keith Burnham Author-X-Name-First: Keith Author-X-Name-Last: Burnham Title: Adaptive backstepping sliding mode control for feedforward uncertain systems Abstract: Output tracking backstepping sliding mode control for feedforward uncertain systems is considered in this article. Feedforward systems are not usually transformable to the parametric semi-strict feedback form, and they may include unmatched uncertainties consisting of disturbances and unmodelled dynamics terms. The backstepping method presented in this article, even without uncertainties differs from that of Ríos-Bolívar and Zinober [Ríos-Bolívar, M. and Zinober, A.S.I. (1999), ‘Dynamical Adaptive Sliding Mode Control of Observable Minimum Phase Uncertain Nonlinear Systems’, in Variable Structure Systems: Variable Structure Systems, Sliding Mode and Nonlinear Control, eds., K.D. Young and Ü. Özgüner. Ozguner, London, Springer-Verlag, pp. 211–236; Ríos-Bolívar, M., and Zinober, A.S.I. (1997a), ‘Dynamical Adaptive Backstepping Control Design via Symbolic Computation’, in Proceedings of the 3rd European Control Conference, Brussels]. In this article, the backstepping is not a dynamical method as in Ríos-Bolívar and Zinober (1997a, 1999), since at each step, the control and map input remain intact, and the differentiations of the control are not used. Therefore, the method can be introduced as static backstepping. Two different controllers are designed based upon the backstepping approach with and without sliding mode. The dynamic and static backstepping methods are applied to a gravity-flow/pipeline system to compare two methods. Journal: International Journal of Systems Science Pages: 1935-1946 Issue: 12 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.617059 File-URL: http://hdl.handle.net/10.1080/00207721.2011.617059 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:12:p:1935-1946 Template-Type: ReDIF-Article 1.0 Author-Name: Dongyan Chen Author-X-Name-First: Dongyan Author-X-Name-Last: Chen Author-Name: Weilu Chen Author-X-Name-First: Weilu Author-X-Name-Last: Chen Author-Name: Jun Hu Author-X-Name-First: Jun Author-X-Name-Last: Hu Author-Name: Hongjian Liu Author-X-Name-First: Hongjian Author-X-Name-Last: Liu Title: Variance-constrained filtering for discrete-time genetic regulatory networks with state delay and random measurement delay Abstract: This paper is concerned with the variance-constrained filtering problem for a class of discrete-time genetic regulatory networks (GRNs) with state delay and random one-step measurement delay. The phenomenon of the random one-step measurement delay is characterised by a random variable, which is assumed to obey the Bernoulli distribution with known occurrence probability. The purpose of the addressed problem is to design a filter such that, in the presence of state delay and random one-step measurement delay, an upper bound of the filtering error covariance matrix can be obtained and the explicit expression of the filter gain matrix is given. Then, the proposed variance-constrained filtering method can be used to approximate the concentrations of mRNAs and proteins. Finally, a numerical example is provided to illustrate the effectiveness of the designed filtering scheme. Journal: International Journal of Systems Science Pages: 231-243 Issue: 2 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1542045 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1542045 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:2:p:231-243 Template-Type: ReDIF-Article 1.0 Author-Name: Zong-Yao Sun Author-X-Name-First: Zong-Yao Author-X-Name-Last: Sun Author-Name: Di Zhang Author-X-Name-First: Di Author-X-Name-Last: Zhang Author-Name: Qinghua Meng Author-X-Name-First: Qinghua Author-X-Name-Last: Meng Author-Name: Chih-Chiang Chen Author-X-Name-First: Chih-Chiang Author-X-Name-Last: Chen Title: Feedback stabilisation of time-delay nonlinear systems with continuous time-varying output function Abstract: This paper investigates the problem of global output feedback stabilisation for a class of uncertain nonlinear systems, where output function is time-varying and continuous, and multiple time delays exist in system state at the same time. A double-domination method is used to capture time-varying measurement error and delayed states. The control strategy is presented based on the choice of Lyapunov–Krasovskii functionals and the construction of a novel state observer without using the information on the output function and nonlinearities. A simulation example is given to show the efficiency of the proposed control scheme. Journal: International Journal of Systems Science Pages: 244-255 Issue: 2 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1543472 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1543472 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:2:p:244-255 Template-Type: ReDIF-Article 1.0 Author-Name: D. Aravindh Author-X-Name-First: D. Author-X-Name-Last: Aravindh Author-Name: R. Sakthivel Author-X-Name-First: R. Author-X-Name-Last: Sakthivel Author-Name: S. Marshal Anthoni Author-X-Name-First: S. Author-X-Name-Last: Marshal Anthoni Title: Extended dissipativity-based non-fragile control for multi-area power systems with actuator fault Abstract: This paper addresses the issue of reliable load frequency control design of an uncertain multi-area power system with constant time delays and disturbances via non-fragile sampled-data control approach. In particular, the parameter uncertainties are assumed to be randomly occurring which are described by the Bernoulli distributed sequences. By constructing a suitable Lyapunov–Krasovskii functional together with Wirtinger-based inequality, a new set of sufficient conditions in terms of linear matrix inequalities is obtained to ensure the asymptotic stability and extended dissipativity of the multi-area power system not only when all actuators are operational, but also in case of some actuator failures. Finally, simulation results are conducted to validate the effectiveness of the proposed control design technique. Journal: International Journal of Systems Science Pages: 256-272 Issue: 2 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1551971 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1551971 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:2:p:256-272 Template-Type: ReDIF-Article 1.0 Author-Name: Yong Ren Author-X-Name-First: Yong Author-X-Name-Last: Ren Author-Name: Wensheng Yin Author-X-Name-First: Wensheng Author-X-Name-Last: Yin Author-Name: Dongjin Zhu Author-X-Name-First: Dongjin Author-X-Name-Last: Zhu Title: Stabilisation of SDEs and applications to synchronisation of stochastic neural network driven by -Brownian motion with state-feedback control Abstract: Li, X., Lin, X., and Lin, Y. [(2016). Lyapunov-type conditions and stochastic differential equations driven by G-Brownian motion. Journal of Mathematicase Analysis and Applications, 439, 235–255] proposed the sufficient conditions for the exponential instability to stochastic differential equations driven by G-Brownian motion (G-SDEs, in short). A natural question is whether we can design a controller to make G-SDEs be stable. By means of the G-Lyapunov function, we design a state-feedback controller to stabilise the system. In addition, applications to stabilisation and synchronisation of Hopfield neural networks driven by G-Brownian motion (G-HNNs, in short) and examples are proposed to illustrate the obtained results. Journal: International Journal of Systems Science Pages: 273-282 Issue: 2 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1551973 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1551973 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:2:p:273-282 Template-Type: ReDIF-Article 1.0 Author-Name: Weixin Han Author-X-Name-First: Weixin Author-X-Name-Last: Han Author-Name: Zhenhua Wang Author-X-Name-First: Zhenhua Author-X-Name-Last: Wang Author-Name: Yi Shen Author-X-Name-First: Yi Author-X-Name-Last: Shen Title: -/ fault detection observer design for uncertain linear systems Abstract: This paper studies fault detection problem in the finite-frequency domain for linear systems with parameter uncertainties. We design an $ H_{-}/L_{\infty } $ H−/L∞ fault detection observer to generate residual that is robust against disturbance and sensitive to a fault. In the design, we use the finite-frequency $ H_{-} $ H− performance index to measure fault sensitivity and introduce $ L_{\infty } $ L∞ performance index to measure the effect of disturbance on residual. The obtained fault detection observer exhibits a peak-to-peak disturbance attenuation performance, which provides a time-varying threshold for residual evaluation. Therefore the proposed design method integrates residual generation and threshold calculation together. To facilitate the observer design process, sufficient conditions of the proposed $ H_{-}/L_{\infty } $ H−/L∞ fault detection observer are formulated as a set of linear matrix inequalities. Numerical simulations are given to verify the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 283-293 Issue: 2 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1551974 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1551974 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:2:p:283-293 Template-Type: ReDIF-Article 1.0 Author-Name: Yongqiang Guan Author-X-Name-First: Yongqiang Author-X-Name-Last: Guan Author-Name: Xianglei Kong Author-X-Name-First: Xianglei Author-X-Name-Last: Kong Title: Stabilisability of discrete-time multi-agent systems under fixed and switching topologies Abstract: This paper studies the problem of stabilisability for general discrete-time linear multi-agent systems. For fixed topology, a necessary and sufficient graph-theoretic condition is proposed. Based on this, a general linear form of the external control input is given, and two methods to design the feedback gain matrix by Riccati equality/inequality are given. For switching topology, a sufficient graph-theoretic condition is presented, under which the stabilisability of multi-agent systems is achieved by introducing an averaging analysis approach. Additionally, both results under fixed and switching topologies are applied for solving the tracking and formation control of discrete-time multi-agent systems, and some sufficient and/or necessary conditions are presented. Finally, numerical examples are given to illustrate the theoretical results. Journal: International Journal of Systems Science Pages: 294-306 Issue: 2 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1551975 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1551975 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:2:p:294-306 Template-Type: ReDIF-Article 1.0 Author-Name: Hui-Jie Sun Author-X-Name-First: Hui-Jie Author-X-Name-Last: Sun Author-Name: Ai-Guo Wu Author-X-Name-First: Ai-Guo Author-X-Name-Last: Wu Author-Name: Ying Zhang Author-X-Name-First: Ying Author-X-Name-Last: Zhang Title: Stability and stabilisation of Itô stochastic systems with piecewise homogeneous Markov jumps Abstract: This paper focuses on the problem of stability and stabilisation for continuous-time Itô stochastic Markovian jump linear systems with time-varying transition rates. The time-varying property of the transition rates is considered to be finite piecewise homogeneous. Firstly, the stability conditions of the piecewise homogeneous Itô stochastic Markovian jump linear systems are given in terms of linear matrix inequalities (LMIs). Especially, a novel stability criterion is developed for the considered systems by the existence of the unique positive-definite solution of the corresponding coupled Lyapunov matrix equations. Secondly, two state-feedback controllers are designed via LMIs to stabilise the systems. Finally, a practical example is provided to illustrate the effectiveness of the presented theoretical results. Journal: International Journal of Systems Science Pages: 307-319 Issue: 2 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1551977 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1551977 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:2:p:307-319 Template-Type: ReDIF-Article 1.0 Author-Name: Jianchang Liu Author-X-Name-First: Jianchang Author-X-Name-Last: Liu Author-Name: Fei Li Author-X-Name-First: Fei Author-X-Name-Last: Li Author-Name: Xiangyong Kong Author-X-Name-First: Xiangyong Author-X-Name-Last: Kong Author-Name: Peiqiu Huang Author-X-Name-First: Peiqiu Author-X-Name-Last: Huang Title: Handling many-objective optimisation problems with R2 indicator and decomposition-based particle swarm optimiser Abstract: An R2 indicator-based multi-objective particle swarm optimiser (R2-MOPSO) can obtain well-convergence and well-distributed solutions while solving two and three objectives optimisation problems. However, R2-MOPSO faces difficulty to tackle many-objective optimisation problems because balancing convergence and diversity is a key issue in high-dimensional objective space. In order to address this issue, this paper proposes a novel algorithm, named R2-MaPSO, which combines the R2 indicator and decomposition-based archiving pruning strategy into particle swarm optimiser for many-objective optimisation problems. The innovations of the proposed algorithm mainly contains three crucial factors: (1) A bi-level archiving maintenance approach based on the R2 indicator and objective space decomposition strategy is designed to balance convergence and diversity. (2) The global-best leader selection is based on the R2 indicator and the personal-best leader selection is based on the Pareto dominance. Meanwhile, the objective space decomposition leader selection adopts the feedback information from the bi-level archive. (3) A new velocity updated method is modified to enhance the exploration and exploitation ability. In addition, an elitist learning strategy and a smart Gaussian learning strategy are embedded into R2-MaPSO to help the algorithm jump out of the local optimal front. The performance of the proposed algorithm is validated and compared with some algorithms on a number of unconstraint benchmark problems, i.e. DTLZ1-DTLZ4, WFG test suites from 3 to 15 objectives. Experimental results have demonstrated a better performance of the proposed algorithm compared with several multi-objective particle swarm optimisers and multi-objective evolutionary algorithms for many-objective optimisation problems. Journal: International Journal of Systems Science Pages: 320-336 Issue: 2 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1552765 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1552765 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:2:p:320-336 Template-Type: ReDIF-Article 1.0 Author-Name: Ranran Wu Author-X-Name-First: Ranran Author-X-Name-Last: Wu Author-Name: Ding Fan Author-X-Name-First: Ding Author-X-Name-Last: Fan Author-Name: Herbert Ho-Ching Iu Author-X-Name-First: Herbert Ho-Ching Author-X-Name-Last: Iu Author-Name: Tyrone Fernando Author-X-Name-First: Tyrone Author-X-Name-Last: Fernando Title: Dynamic surface control for discrete-time strict-feedback systems with network-induced delays using predictive event-triggered strategy Abstract: In this paper, a novel dynamic surface control methodology with a predictive event-triggered strategy is proposed for discrete-time strict-feedback systems. In order to evaluate immeasurable state variables, a least square evaluation method is adopted. A dynamic surface controller is designed for discrete-time strict-feedback systems. When the transmission time of Sensor-to-Controller (S–C) or Controller-to-Actuator (C–A) channel increases, the stability and dynamic performance of the system deteriorates are improved by the proposed predictive event-triggered control strategy. Furthermore, the proposed methodology decreases the use of network resources while the whole system still keeps stable and exhibits an acceptable dynamic performance. The simulation results demonstrate that the proposed methodology is effective. Journal: International Journal of Systems Science Pages: 337-350 Issue: 2 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1552766 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1552766 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:2:p:337-350 Template-Type: ReDIF-Article 1.0 Author-Name: Wang Jianhong Author-X-Name-First: Wang Author-X-Name-Last: Jianhong Title: Zonotope parameter identification for virtual reference feedback tuning control Abstract: The problem of designing two feedback controllers for an unknown plant based on input–output measurements is discussed within a linear setting. Virtual reference feedback tuning is a direct method that aims at minimising a cost function of the 2-norm type by using a set of data, then no model identification is needed. When constructing the cost function, two model-matching problems are considered between closed loop transfer function and sensitivity function simultaneously. In model-matching procedures, we design the virtual reference input signal and virtual disturb signal respectively. When applied virtual reference feedback tuning to a closed loop system with two degrees of freedom controllers, two filters used to reprocess the input–output measurements are derived. To relax the strict probabilistic description on disturbance, zonotope parameter identification algorithm is proposed to calculates a set that contains the unknown parameters consistent with the measured output and the given bound of the disturbance. To guarantee our derived zonotope not growing unbounded with iterations, a sufficient condition for this requirement to hold may be formulated as one linear matrix inequality. An application of zonotope parameter identification to a flight simulation with two unknown PID controllers is studied to demonstrate the effectiveness of our algorithms. Journal: International Journal of Systems Science Pages: 351-364 Issue: 2 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1552767 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1552767 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:2:p:351-364 Template-Type: ReDIF-Article 1.0 Author-Name: Rui Zhou Author-X-Name-First: Rui Author-X-Name-Last: Zhou Author-Name: Junmin Li Author-X-Name-First: Junmin Author-X-Name-Last: Li Title: Stochastic consensus of double-integrator leader-following multi-agent systems with measurement noises and time delays Abstract: This paper studies a leader-following consensus problem of continuous-time double-integrator multi-agent systems with measurement noises and time-varying communication delays under directed topology. By utilising the neighbour position and velocity information, which are delayed and disturbed by measurement noises whose intensities are considered a function related to the neighbour position and velocity of agents, a distributed consensus protocol is presented, sufficient conditions of the tracking consensus in the sense of mean square are derived. Finally, the effectiveness of the proposed consensus protocol is proved by some simulations. Journal: International Journal of Systems Science Pages: 365-378 Issue: 2 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1552769 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1552769 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:2:p:365-378 Template-Type: ReDIF-Article 1.0 Author-Name: Changzhu Zhang Author-X-Name-First: Changzhu Author-X-Name-Last: Zhang Author-Name: Mengjiao Shen Author-X-Name-First: Mengjiao Author-X-Name-Last: Shen Author-Name: Zhuping Wang Author-X-Name-First: Zhuping Author-X-Name-Last: Wang Author-Name: Chengju Liu Author-X-Name-First: Chengju Author-X-Name-Last: Liu Author-Name: Jinfei Hu Author-X-Name-First: Jinfei Author-X-Name-Last: Hu Title: Fuzzy model-based controller synthesis for networked nonlinear systems with event triggering communication scheme Abstract: In this paper, the problem of event-triggered $ \mathcal {H}_{\infty } $ H∞ piecewise controller design is concerned for discrete-time networked nonlinear systems represented by T–S fuzzy models. Based on the event triggering communication strategy, only the state information of the plant that violates a predefined triggering condition is transmitted in the shared communication channels. Considering that the premise variables of the plant in the form of T–S fuzzy representation are not synchronously available at the controller side, a novel approach to the piecewise state feedback controller design is proposed via some matrix inequality convexification techniques such that the closed-loop T–S fuzzy system is asymptotically stable with a guaranteed $ \mathcal {H}_{\infty } $ H∞ performance level. By introducing the Jensen inequality method, some cross products of two vectors are eliminated, which greatly facilitates the controller design procedure. Finally, some illustrative examples are provided to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 379-391 Issue: 2 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1552770 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1552770 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:2:p:379-391 Template-Type: ReDIF-Article 1.0 Author-Name: Gandikota Gurumurthy Author-X-Name-First: Gandikota Author-X-Name-Last: Gurumurthy Author-Name: Dushmanta Kumar Das Author-X-Name-First: Dushmanta Kumar Author-X-Name-Last: Das Title: An FO–[PI] controller for inverted decoupled two-input two-output coupled tank system Abstract: In this paper, a new structured fractional order-[proportional integral] ( $ {\rm FO-}{{\left [ {\rm PI} \right ]}^{\lambda }} $ FO−[PI]λ) controller design method is demonstrated. The designed controller is implemented in decoupled Two-Input Two-Output (TITO) Coupled Tank System (CTS) for liquid level control. An inverted decoupling technique is used to decouple the TITO process into two independent SISO (single-input single-output) processes. The designed $ {\rm FO-}{{\left [ {\rm PI} \right ]}^{\lambda }} $ FO−[PI]λ controller is implemented for each SISO process. A frequency domain approach is used to tune the parameters of the controller. While designing, to approximate the fractional integral terms of the controller, Oustaloup's Recursive Approximation (ORA) method is used in the stable frequency bands. To validate the proposed approach, the performance of the controller is compared with the existing controllers designed based on the same specifications. From the simulation and experimental studies, it is shown that proposed $ {\rm FO-}{{\left [ {\rm PI} \right ]}^{\lambda }} $ FO−[PI]λ gives better performance than $ {\rm FO-P}{{{\rm I}}^{\lambda }} $ FO−PIλ, PI and PID controllers. Journal: International Journal of Systems Science Pages: 392-402 Issue: 2 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1552772 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1552772 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:2:p:392-402 Template-Type: ReDIF-Article 1.0 Author-Name: Jingmeng Liu Author-X-Name-First: Jingmeng Author-X-Name-Last: Liu Author-Name: Xuerong Li Author-X-Name-First: Xuerong Author-X-Name-Last: Li Author-Name: Shaoxiong Cai Author-X-Name-First: Shaoxiong Author-X-Name-Last: Cai Author-Name: Weihai Chen Author-X-Name-First: Weihai Author-X-Name-Last: Chen Author-Name: Shaoping Bai Author-X-Name-First: Shaoping Author-X-Name-Last: Bai Title: Adaptive fuzzy sliding mode algorithm-based decentralised control for a permanent magnet spherical actuator Abstract: The dynamic model of multi-degree-of-freedom permanent magnet (PM) spherical actuators is multivariate and nonlinear due to strong inter-axis couplings, which affects the trajectory tracking performance of the system. In this paper, a decentralised control strategy based on adaptive fuzzy sliding mode (AFSM) algorithm is developed for a PM spherical actuator to enhance its trajectory tracking performance. In this algorithm, the coupling terms are separated as subsystems from the entire system. The AFSM algorithm is applied in such a way that the fuzzy logic systems are used to approximate the subsystem with uncertainties. A sliding mode term is introduced to compensate for the effect of coupling terms and fuzzy approximation error. The stability of the proposed method is guaranteed by choosing the appropriate Lyapunov function. Both simulation and experimental results show that the proposed control algorithm can effectively handle various uncertainties and inter-axis couplings, and improve the trajectory tracking precision of the spherical actuator. Journal: International Journal of Systems Science Pages: 403-418 Issue: 2 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1553254 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1553254 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:2:p:403-418 Template-Type: ReDIF-Article 1.0 Author-Name: Shuai Zhang Author-X-Name-First: Shuai Author-X-Name-Last: Zhang Author-Name: Yang Guo Author-X-Name-First: Yang Author-X-Name-Last: Guo Author-Name: Shicheng Wang Author-X-Name-First: Shicheng Author-X-Name-Last: Wang Author-Name: Xiaoxiang Hu Author-X-Name-First: Xiaoxiang Author-X-Name-Last: Hu Author-Name: Xu Xie Author-X-Name-First: Xu Author-X-Name-Last: Xie Title: Input–output finite-time stability of discrete-time systems under finite-time boundedness Abstract: This paper deals with the input–output finite-time stability of discrete time-varying linear systems in the presence of finite-time boundedness. The state boundedness and output stability of this system are concerned simultaneously to avoid the large unacceptable values during certain transients. For two different classes of norm-bounded input signals, the sufficient conditions for the system satisfying both the state finite-time boundedness (FTB) and input–output finite-time stability (IO-FTS) are developed. Based on a set of linear matrix inequalities (LMIs), the controller design method via state feedback for the discrete-time system satisfying both FTB and IO-FTS is presented for the two classes of external norm-bounded input. The conditions proposed can simultaneously guarantee the state and output of closed-loop system do not exceed the boundary during the specified finite-time interval. Two examples are employed to verify the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 419-431 Issue: 2 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1554170 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1554170 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:2:p:419-431 Template-Type: ReDIF-Article 1.0 Author-Name: Pau Muñoz-Benavent Author-X-Name-First: Pau Author-X-Name-Last: Muñoz-Benavent Author-Name: J. Ernesto Solanes Author-X-Name-First: J. Ernesto Author-X-Name-Last: Solanes Author-Name: Luis Gracia Author-X-Name-First: Luis Author-X-Name-Last: Gracia Author-Name: Josep Tornero Author-X-Name-First: Josep Author-X-Name-Last: Tornero Title: Robust auto tool change for industrial robots using visual servoing Abstract: This work presents an automated solution for tool changing in industrial robots using visual servoing and sliding mode control. The robustness of the proposed method is due to the control law of the visual servoing, which uses the information acquired by a vision system to close a feedback control loop. Furthermore, sliding mode control is simultaneously used in a prioritised level to satisfy the constraints typically present in a robot system: joint range limits, maximum joint speeds and allowed workspace. Thus, the global control accurately places the tool in the warehouse, but satisfying the robot constraints. The feasibility and effectiveness of the proposed approach is substantiated by simulation results for a complex 3D case study. Moreover, real experimentation with a 6R industrial manipulator is also presented to demonstrate the applicability of the method for tool changing. Journal: International Journal of Systems Science Pages: 432-449 Issue: 2 Volume: 50 Year: 2019 Month: 1 X-DOI: 10.1080/00207721.2018.1562129 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1562129 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:2:p:432-449 Template-Type: ReDIF-Article 1.0 Author-Name: Mengting Chen Author-X-Name-First: Mengting Author-X-Name-Last: Chen Author-Name: Feng Ding Author-X-Name-First: Feng Author-X-Name-Last: Ding Author-Name: Rongming Lin Author-X-Name-First: Rongming Author-X-Name-Last: Lin Author-Name: Ahmed Alsaedi Author-X-Name-First: Ahmed Author-X-Name-Last: Alsaedi Author-Name: Tasawar Hayat Author-X-Name-First: Tasawar Author-X-Name-Last: Hayat Title: Parameter estimation for a special class of nonlinear systems by using the over-parameterisation method and the linear filter Abstract: This paper studies the parameter estimation issues of a special class of nonlinear systems (i.e. bilinear-in-parameter systems) utilising the measurement input-output data. The estimation idea is based on the data filtering technique and the over-parameterisation method to represent the system as a linearly parameterised form. Then, by means of the filtered model and the noise model, a filtering based over-parameterisation generalised extended gradient iterative (F-O-GEGI) algorithm is developed for estimating all the parameters. For purpose of improving the precision of parameter estimation, a filtering based over-parameterisation generalised extended least squares iterative (F-O-GELSI) algorithm is derived by formulating and minimising two separate criterion functions. By these foundations, the F-O-GEGI algorithm and the F-O-GELSI algorithm with finite measurement data are presented. The simulation example is provided to test and compare the presented approaches. Journal: International Journal of Systems Science Pages: 1689-1702 Issue: 9 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1615576 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1615576 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:9:p:1689-1702 Template-Type: ReDIF-Article 1.0 Author-Name: Xiangze Lin Author-X-Name-First: Xiangze Author-X-Name-Last: Lin Author-Name: Zhonglin Yang Author-X-Name-First: Zhonglin Author-X-Name-Last: Yang Author-Name: Shihua Li Author-X-Name-First: Shihua Author-X-Name-Last: Li Title: Finite-time boundedness and finite-time weighted L2-gain analysis for a class of neutral type switched systems with time-varying delays Abstract: In this paper, finite-time boundedness of a class of neutral type switched systems with time-varying delays is investigated. By virtue of linear matrix inequalities, delay-depended sufficient conditions are given to guarantee switched systems with time-varying delays finite-time bounded. If there is no disturbance, finite-time boundedness degenerates into finite-time stability, which is also discussed in this note. Mode-depended average dwell time (MDADT) of switching signals is also given such that neutral type switched systems are finite-time bounded or finite-time stable. Moreover, finite-time weighted $L_2 $L2-gain of neutral type switched systems with time-varying delays is presented to measure its disturbance tolerance capability in the fixed time interval. Proofs in detail are accomplished by using multiple Lyapunov–Krasovskii functions. Finally, theoretical results are verified by using a numerical example. Journal: International Journal of Systems Science Pages: 1703-1717 Issue: 9 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1622816 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1622816 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:9:p:1703-1717 Template-Type: ReDIF-Article 1.0 Author-Name: Pouya Badri Author-X-Name-First: Pouya Author-X-Name-Last: Badri Author-Name: Mahdi Sojoodi Author-X-Name-First: Mahdi Author-X-Name-Last: Sojoodi Title: Robust stabilisation of fractional-order interval systems via dynamic output feedback: an LMI approach Abstract: This paper addresses the problem of robust dynamic output stabilisation of FO-LTI interval systems with the fractional order $0 \lt \alpha \lt 2 $0<α<2, in terms of linear matrix inequalities (LMIs). Our purpose is to design a robust dynamic output feedback controller that asymptotically stabilises interval fractional-order linear time-invariant (FO-LTI) systems. Sufficient conditions are obtained for designing a stabilising controller with a predetermined order, which can be chosen to be as low as possible. The LMI-based procedures of designing robust stabilising controllers are preserved in spite of the complexity of assuming the most complete model of linear controller, with direct feedthrough parameter. Finally, some numerical examples with simulations are presented to demonstrate the effectiveness and correctness of the theoretical results. Journal: International Journal of Systems Science Pages: 1718-1730 Issue: 9 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1622817 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1622817 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:9:p:1718-1730 Template-Type: ReDIF-Article 1.0 Author-Name: Weimin Peng Author-X-Name-First: Weimin Author-X-Name-Last: Peng Author-Name: Aihong Chen Author-X-Name-First: Aihong Author-X-Name-Last: Chen Author-Name: Jing Chen Author-X-Name-First: Jing Author-X-Name-Last: Chen Author-Name: Haitao Xu Author-X-Name-First: Haitao Author-X-Name-Last: Xu Title: Lattice structure based metric for feature data fusion Abstract: For stably reducing data redundancy which has negative impact on data processing, this paper integrates the ideas from lattice structure and develops a lattice structure based metric for feature fusion. The metric distance between two lattice nodes, which is a key factor for the lattice structure based metric, is determined by the shortest path length from these two nodes to their nearest descendant node in lattice structure. Then, based on the metrics between lattice nodes, the source feature dataset is divided into different subsets following the principles of minimum metric precedence and gradual expansion. The duplicate feature data in a subset is fused into an object data unit by using the median operation. The experimental results show that the proposed feature fusion method can better improve the completeness and conciseness of the existing feature data stably and has wide range of applications in the related fields on data processing. Journal: International Journal of Systems Science Pages: 1731-1741 Issue: 9 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1623338 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1623338 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:9:p:1731-1741 Template-Type: ReDIF-Article 1.0 Author-Name: R. Sriraman Author-X-Name-First: R. Author-X-Name-Last: Sriraman Author-Name: R. Samidurai Author-X-Name-First: R. Author-X-Name-Last: Samidurai Title: Global asymptotic stability analysis for neutral-type complex-valued neural networks with random time-varying delays Abstract: This paper investigates the global asymptotic stability problem for a class of neutral-type complex-valued neural networks with random time-varying delays. By introducing a stochastic variable with Bernoulli distribution, the information of time-varying delay is assumed to be random time-varying delays. By constructing an appropriate Lyapunov–Krasovskii functional and employing inequality technique, several sufficient conditions are obtained to ensure the global asymptotically stability of equilibrium point for the considered neural networks. The obtained stability criterion is expressed in terms of complex-valued linear matrix inequalities, which can be simply solved by effective YALMIP toolbox in MATLAB. Finally, three numerical examples are given to demonstrate the efficiency of the proposed main results. Journal: International Journal of Systems Science Pages: 1742-1756 Issue: 9 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1623340 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1623340 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:9:p:1742-1756 Template-Type: ReDIF-Article 1.0 Author-Name: Shixian Luo Author-X-Name-First: Shixian Author-X-Name-Last: Luo Author-Name: Feiqi Deng Author-X-Name-First: Feiqi Author-X-Name-Last: Deng Author-Name: Xueyan Zhao Author-X-Name-First: Xueyan Author-X-Name-Last: Zhao Title: Analysis of linear asynchronous hybrid stochastic systems and its application to multi-agent systems with Markovian switching topologies Abstract: This paper studies the stability and stabilisation of a class of asynchronous hybrid stochastic systems described by linear Markov jump systems with asynchronous parameters induced by hysteretic mode and input delay. By exploring the essential properties of the Markov chain and developing novel Lyapunov function/functional based approaches, we derive sufficient conditions in terms of sizes of the delays ensuring the mean square asymptotical stability of the systems. Interestingly, the Lyapunov functional based approach further leads to the mean square stability criteria that depend only on the drift part and allow an arbitrary large delay for the diffusion part, which is different from the Lyapunov-Razumikhin based results. The theoretical results are applied to solve the consensus problems of multi-agent systems with Markovian switching topologies and input delay. Numerical examples demonstrate the established results. Journal: International Journal of Systems Science Pages: 1757-1770 Issue: 9 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1624871 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1624871 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:9:p:1757-1770 Template-Type: ReDIF-Article 1.0 Author-Name: Wenmin He Author-X-Name-First: Wenmin Author-X-Name-Last: He Author-Name: Jian Guo Author-X-Name-First: Jian Author-X-Name-Last: Guo Author-Name: Zhengrong Xiang Author-X-Name-First: Zhengrong Author-X-Name-Last: Xiang Title: Disturbance-observer-based sampled-data adaptive output feedback control for a class of uncertain nonlinear systems Abstract: In this paper, a sampled-data adaptive output feedback controller is proposed for a class of uncertain nonlinear systems with unmeasured states, unknown dynamics and unknown time-varying external disturbances. To approximate uncertain nonlinear functions, radial basis function neural networks (RBFNNs) are employed. The state observer and the disturbance observer (DO) are constructed to estimate the unmeasured state and the external disturbance, respectively. Then, the sampled-data adaptive output feedback controller and adaptive laws are designed by using the backstepping design technique. The allowable sampling period T is derived to guarantee that all states of the resulting closed-loop system are semi-globally uniformly ultimately bounded. Finally, two simulation examples are presented to illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 1771-1783 Issue: 9 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1626930 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1626930 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:9:p:1771-1783 Template-Type: ReDIF-Article 1.0 Author-Name: Wei Liu Author-X-Name-First: Wei Author-X-Name-Last: Liu Author-Name: Qian Ma Author-X-Name-First: Qian Author-X-Name-Last: Ma Author-Name: Guopeng Zhou Author-X-Name-First: Guopeng Author-X-Name-Last: Zhou Author-Name: Jianrong Zhao Author-X-Name-First: Jianrong Author-X-Name-Last: Zhao Title: Adaptive dynamic surface control using disturbance observer for nonlinear systems with input saturation and output constraints Abstract: An adaptive dynamic surface control (DSC) approach using fuzzy approximation and nonlinear disturbance observer (NDO) for uncertain nonlinear systems in the presence of input saturation, output constraint and unknown external disturbances is proposed in this paper. The issue of input saturation is addressed by introducing a lower bound assumption on the approximation function of saturation. The output constraint is handled by introducing an appropriate barried Lyapunov function. The nonlinear disturbance observer (NDO) is employed to estimate the unknown unmatched disturbances. It is manifested that the ultimately bounded convergence of all the variables in the closed-loop system is guaranteed and the tracking error can be made farely small by tuning the design parameters. Finally, two simulation examples illustrate the effectiveness and feasibility of the proposed approach. Journal: International Journal of Systems Science Pages: 1784-1798 Issue: 9 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1626931 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1626931 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:9:p:1784-1798 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaohui Hao Author-X-Name-First: Xiaohui Author-X-Name-Last: Hao Author-Name: Yan Liang Author-X-Name-First: Yan Author-X-Name-Last: Liang Author-Name: Linfeng Xu Author-X-Name-First: Linfeng Author-X-Name-Last: Xu Title: Linear minimum mean square error filtering with stochastic linear equality constraints Abstract: Constrained filters, through utilising the prior state constraint information, are designed to obtain more accurate state estimates in applications, and most of them deal with the estimation problem of systems with deterministic constraints. In practice, complex environmental disturbance, incomplete information or uncooperative behaviour often brings out uncertainties of the constraints. This paper tackles the filtering problem of dynamic systems subject to the stochastic linear equality constraints expressed by random weighted basis matrices. The corresponding constrained dynamic model is constructed first and the linear-minimum-mean-square-error filter is derived based on the orthogonality principle. Due to the effect of constraint randomness, the resultant filter encounters the problem of nonlinear stochastic calculation of random parameters, which is solved by the Taylor-based and the UT-based schemes, respectively, and the computational complexity as well as the tractability of both schemes are analysed. Finally, a simulation study on a road-constrained vehicle tracking demonstrates that the proposed filter has better performance than the classical estimation projection method in terms of estimation accuracy and computational complexity. Journal: International Journal of Systems Science Pages: 1799-1811 Issue: 9 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1626932 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1626932 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:9:p:1799-1811 Template-Type: ReDIF-Article 1.0 Author-Name: Lei Fu Author-X-Name-First: Lei Author-X-Name-Last: Fu Author-Name: Yuechao Ma Author-X-Name-First: Yuechao Author-X-Name-Last: Ma Title: Synchronisation of singular complex networks with actuator saturation and randomly occurring time-delay Abstract: In this paper, we aim at addressing the synchronisation of singular complex networks with actuator saturation and randomly occurring time-delay. Based on Lyapunov–Krasovskii approach, delay-dependent condition is first derived such that the corresponding singular complex networks are mean-square synchronisation via the Wirtinger-based inequality and linear matrix inequalities (LMIs) technology. The delay information exchanges occur in a random way. Then the feedback controllers are then designed as well as the domain of attraction by an optimisation problem. Finally, the illustrate examples are utilised to demonstrate the effectiveness of the obtained results. Journal: International Journal of Systems Science Pages: 1812-1825 Issue: 9 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1645228 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1645228 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:9:p:1812-1825 Template-Type: ReDIF-Article 1.0 Author-Name: Shiyi Zhao Author-X-Name-First: Shiyi Author-X-Name-Last: Zhao Author-Name: Hongjing Liang Author-X-Name-First: Hongjing Author-X-Name-Last: Liang Author-Name: Peihao Du Author-X-Name-First: Peihao Author-X-Name-Last: Du Title: Observer-based synergetic adaptive neural network control for a class of discrete-time nonlinear systems with dead-zone Abstract: In this paper, the observer-based synergetic adaptive neural network control method is designed for a class of discrete-time systems with dead-zone. A macro-variable is introduced by a synergetic approach to control theory and neural networks are utilised to estimate unmeasured states and unknown functions in the system. Furthermore, by employing an adaptive design procedure and Lyapunov stability theory, the closed-loop system stability is guaranteed, and the desired system performance is achieved simultaneously. Finally, some simulation results are given to prove the validity of the developed control method. Journal: International Journal of Systems Science Pages: 1826-1834 Issue: 9 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1645230 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1645230 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:9:p:1826-1834 Template-Type: ReDIF-Article 1.0 Author-Name: Zhi Li Author-X-Name-First: Zhi Author-X-Name-Last: Li Author-Name: Yuan Yuan Jing Author-X-Name-First: Yuan Yuan Author-X-Name-Last: Jing Author-Name: Liping Xu Author-X-Name-First: Liping Author-X-Name-Last: Xu Title: Controllability of neutral stochastic evolution equations driven by fBm with Hurst parameter less than 1/2 Abstract: In this paper, we investigate the controllability for a class of neutral stochastic evolution equations driven by fractional Brownian motion with Hurst parameter $H\in (0,1/2) $H∈(0,1/2) in a Hilbert space. By using the stochastic analysis of fractional Brown motion with Hurst parameter $H\in (0,1/2) $H∈(0,1/2), the properties of operator semigroup and the Banach fixed point theorem, the sufficient conditions for the controllability of the considered equations are obtained. In the end, one example is given to illustrate the feasibility and effectiveness of the obtained results. Journal: International Journal of Systems Science Pages: 1835-1846 Issue: 9 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1645231 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1645231 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:9:p:1835-1846 Template-Type: ReDIF-Article 1.0 Author-Name: Tianyi Zeng Author-X-Name-First: Tianyi Author-X-Name-Last: Zeng Author-Name: Xuemei Ren Author-X-Name-First: Xuemei Author-X-Name-Last: Ren Author-Name: Yao Zhang Author-X-Name-First: Yao Author-X-Name-Last: Zhang Title: Fixed-time sliding mode control based plant/controller co-design of dual-motor driving system Abstract: A fixed-time sliding mode controller based plant/controller co-design scheme is developed for dual-motor driving systems. The proposed controller is fixed-time stable subject to unknown disturbances which guarantees the robustness of the proposed control scheme and a less conservative solution can be ensured by comparing with the conventional fixed-time convergence technique. Due to the existence of couplings between the plant and the controller, traditional design procedures in which the plant and the controller are designed sequentially and separately cannot guarantee the overall optimum of control systems. A co-design scheme based on the nested optimisation strategy is developed in this paper. With the nested optimisation strategy, the co-design solution can be achieved efficiently and reliably. A combined cost function considering both the plant and the controller is developed so that the largest load can be achieved without degrading the control performance. The fixed-time convergent controller is employed and considered into the co-design scheme. The gravitational search algorithm is adopted to optimise controller parameters in the co-design scheme. With the presented co-design method, the largest load of the studied system can be achieved with the satisfactory control performance. Contrastive Simulation and experimental results demonstrate the efficacy of the proposed controller and co-design scheme. Journal: International Journal of Systems Science Pages: 1847-1859 Issue: 9 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1645232 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1645232 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:9:p:1847-1859 Template-Type: ReDIF-Article 1.0 Author-Name: Lijun Gao Author-X-Name-First: Lijun Author-X-Name-Last: Gao Author-Name: Meng Zhang Author-X-Name-First: Meng Author-X-Name-Last: Zhang Author-Name: Xiuming Yao Author-X-Name-First: Xiuming Author-X-Name-Last: Yao Title: Stochastic input-to-state stability for impulsive switched stochastic nonlinear systems with multiple jumps Abstract: In this study, we investigate the stochastic input-to-state stability (SISS) of impulsive switched stochastic nonlinear systems. In this model, the impulse jumps are component multiple maps that depend on time. Thus the model differs from traditional impulsive systems with single impulse between two adjacent switching times. We provide sufficient conditions in three cases with the SISS system by using the Lyapunov function and average impulsive interval approach. The destabilising impulses cannot destroy the SISS properties if the impulses do not occur too frequently when all the subsystems that control the continuous dynamics are SISS. In other words, the average impulsive interval satisfies a lower bound restraint. Conversely, when all subsystems that control the continuous dynamics are not SISS, impulses can contribute to stabilising the system in the SISS sense when the average impulsive interval satisfies an upper bound. Then, we investigate the SISS property of impulsive switched stochastic nonlinear systems with some subsystems that are not SISS under certain conditions such that the property remains obtained. Finally, we show three examples to demonstrate the validity of the main result. Journal: International Journal of Systems Science Pages: 1860-1871 Issue: 9 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1645233 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1645233 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:9:p:1860-1871 Template-Type: ReDIF-Article 1.0 Author-Name: Zewei Zheng Author-X-Name-First: Zewei Author-X-Name-Last: Zheng Author-Name: Liang Sun Author-X-Name-First: Liang Author-X-Name-Last: Sun Title: Error-constrained path-following control for a stratospheric airship with actuator saturation and disturbances Abstract: This paper is concerned with the path-following control problem for an under-actuated stratospheric airship with error constraint, actuator saturation, and external disturbances. To address the tracking error-constrained requirements of airship position and attitude, novel tan-type barrier Lyapunov functions are proposed and incorporated with the guidance and attitude control schemes, which calculate the desired attitude and angular velocity. An auxiliary design system in the form of anti-windup compensator is employed to deal with actuator saturation, and the stability of the saturated control solution is verified. Nonlinear disturbance observer is developed to estimate the unknown external disturbances. Rigorous stability analysis shows that the constrained requirements on the airship position and attitude will not be violated under the proposed control method and all closed-loop signals are uniformly ultimately bounded, despite the presence of actuator saturation and disturbances. Simulation results and comparisons illustrate the effectiveness of the proposed controller. Journal: International Journal of Systems Science Pages: 3504-3521 Issue: 16 Volume: 48 Year: 2017 Month: 12 X-DOI: 10.1080/00207721.2017.1381889 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1381889 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:16:p:3504-3521 Template-Type: ReDIF-Article 1.0 Author-Name: Shiju S. S. Author-X-Name-First: Shiju S. Author-X-Name-Last: S. Author-Name: Sumitra S. Author-X-Name-First: Sumitra Author-X-Name-Last: S. Title: Multiple kernel learning using single stage function approximation for binary classification problems Abstract: In this paper, the multiple kernel learning (MKL) is formulated as a supervised classification problem. We dealt with binary classification data and hence the data modelling problem involves the computation of two decision boundaries of which one related with that of kernel learning and the other with that of input data. In our approach, they are found with the aid of a single cost function by constructing a global reproducing kernel Hilbert space (RKHS) as the direct sum of the RKHSs corresponding to the decision boundaries of kernel learning and input data and searching that function from the global RKHS, which can be represented as the direct sum of the decision boundaries under consideration. In our experimental analysis, the proposed model had shown superior performance in comparison with that of existing two stage function approximation formulation of MKL, where the decision functions of kernel learning and input data are found separately using two different cost functions. This is due to the fact that single stage representation helps the knowledge transfer between the computation procedures for finding the decision boundaries of kernel learning and input data, which inturn boosts the generalisation capacity of the model. Journal: International Journal of Systems Science Pages: 3569-3580 Issue: 16 Volume: 48 Year: 2017 Month: 12 X-DOI: 10.1080/00207721.2017.1381892 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1381892 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:16:p:3569-3580 Template-Type: ReDIF-Article 1.0 Author-Name: Mohsen Ekramian Author-X-Name-First: Mohsen Author-X-Name-Last: Ekramian Title: Observer-based controller for Lipschitz nonlinear systems Abstract: An observer-based controller for Lipschitz nonlinear systems is presented. The necessary and sufficient condition to ensure stability of state-observer as well as nonlinear system with state-feedback control law is derived. According to the separation principle, the closed-loop stability is guaranteed based on dual problems concerning stability of state-observer and stability of state-feedback parts. Also, the stability region for locally Lipschitz nonlinearities is obtained. A practical synthesis approach to achieve controller parameters is then given which yields the closed-loop convergence with less conservative results. The effectiveness of the proposed synthesis method is finally demonstrated by simulation results. Journal: International Journal of Systems Science Pages: 3411-3418 Issue: 16 Volume: 48 Year: 2017 Month: 12 X-DOI: 10.1080/00207721.2017.1381894 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1381894 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:16:p:3411-3418 Template-Type: ReDIF-Article 1.0 Author-Name: Jiajia Li Author-X-Name-First: Jiajia Author-X-Name-Last: Li Author-Name: Xinli Wang Author-X-Name-First: Xinli Author-X-Name-Last: Wang Author-Name: Fei Han Author-X-Name-First: Fei Author-X-Name-Last: Han Author-Name: Guoliang Wei Author-X-Name-First: Guoliang Author-X-Name-Last: Wei Title: Fault detection for discrete piecewise linear systems with infinite distributed time-delays Abstract: In this paper, the fault detection problem is investigated for a class of discrete-time piecewise linear systems with external disturbances and infinite distributed time-delays. As a modelling framework, piecewise linear system often arise when piecewise linear components are encountered, such as dead-zone, saturation, relays and hysteresis. The time-delays are assumed to be infinitely distributed in the discrete-time domain. The aim of this paper is to detect the possible faults and to estimate the system state. For this purpose, firstly, stability analysis is given based on a piecewise smooth Lyapunov function. Afterward, an appropriate approach of fault detection and filter design problem is provided to achieve a satisfactory balance between the disturbances attenuation level γ and the sensitivity to the fault for piecewise linear systems. As a consequence, a sufficient condition is obtained in terms of the linear matrix inequalities such that, for all admissible infinite distributed time-delays and external disturbances, the system is guaranteed to be asymptotically stable and the residual is guaranteed to satisfy H∞ filtering performance and fault detection performance. At last, a simulation example is provided to demonstrate the applicability and effectiveness of the fault detection filtering scheme proposed in this paper. Journal: International Journal of Systems Science Pages: 3431-3439 Issue: 16 Volume: 48 Year: 2017 Month: 12 X-DOI: 10.1080/00207721.2017.1382603 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1382603 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:16:p:3431-3439 Template-Type: ReDIF-Article 1.0 Author-Name: Li-Juan Liu Author-X-Name-First: Li-Juan Author-X-Name-Last: Liu Author-Name: Jing Zhou Author-X-Name-First: Jing Author-X-Name-Last: Zhou Author-Name: Changyun Wen Author-X-Name-First: Changyun Author-X-Name-Last: Wen Author-Name: Xudong Zhao Author-X-Name-First: Xudong Author-X-Name-Last: Zhao Title: Robust adaptive tracking control of uncertain systems with time-varying input delays Abstract: In this paper, the problem of robust adaptive tracking control of uncertain systems with time-varying input delays is studied. Under some mild assumptions, a robust adaptive controller is designed by using adaptive backstepping technique such that the system is globally stable and the system output can track a given reference signal. At the same time, a root mean square type of bound is obtained for the tracking error as a function of design parameters and thus can be adjusted. Finally, one numerical example is given to show the effectiveness of the proposed scheme. Journal: International Journal of Systems Science Pages: 3440-3449 Issue: 16 Volume: 48 Year: 2017 Month: 12 X-DOI: 10.1080/00207721.2017.1382604 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1382604 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:16:p:3440-3449 Template-Type: ReDIF-Article 1.0 Author-Name: Ngoc-Tu Tran Author-X-Name-First: Ngoc-Tu Author-X-Name-Last: Tran Author-Name: Jiang-Wen Xiao Author-X-Name-First: Jiang-Wen Author-X-Name-Last: Xiao Author-Name: Yan-Wu Wang Author-X-Name-First: Yan-Wu Author-X-Name-Last: Wang Author-Name: Wu Yang Author-X-Name-First: Wu Author-X-Name-Last: Yang Title: Distributed optimisation problem with communication delay and external disturbance Abstract: This paper investigates the distributed optimisation problem for the multi-agent systems (MASs) with the simultaneous presence of external disturbance and the communication delay. To solve this problem, a two-step design scheme is introduced. In the first step, based on the internal model principle, the internal model term is constructed to compensate the disturbance asymptotically. In the second step, a distributed optimisation algorithm is designed to solve the distributed optimisation problem based on the MASs with the simultaneous presence of disturbance and communication delay. Moreover, in the proposed algorithm, each agent interacts with its neighbours through the connected topology and the delay occurs during the information exchange. By utilising Lyapunov–Krasovskii functional, the delay-dependent conditions are derived for both slowly and fast time-varying delay, respectively, to ensure the convergence of the algorithm to the optimal solution of the optimisation problem. Several numerical simulation examples are provided to illustrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 3530-3541 Issue: 16 Volume: 48 Year: 2017 Month: 12 X-DOI: 10.1080/00207721.2017.1382605 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1382605 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:16:p:3530-3541 Template-Type: ReDIF-Article 1.0 Author-Name: Kai-Ning Wu Author-X-Name-First: Kai-Ning Author-X-Name-Last: Wu Author-Name: Ya-Ming Zhang Author-X-Name-First: Ya-Ming Author-X-Name-Last: Zhang Author-Name: Liming Wang Author-X-Name-First: Liming Author-X-Name-Last: Wang Title: Cluster synchronisation of coupled delay reaction-diffusion systems Abstract: This paper considers the cluster synchronisation of coupled delay reaction-diffusion systems (DRDSs). First, in light of the technique of matrix representation, we turn the cluster synchronisation of coupled DRDSs into the asymptotical stability of a transformed system. Based on this transformation and by virtue of the Lyapunov-Krasovskii functional method, we provide the sufficient conditions that ensure the cluster synchronisation for DRDSs with constant delay. The effects of spatial domain on the cluster synchronisation is shown by these sufficient conditions. Then, we deal with time-varying delay systems with reaction-diffusion term. The criterion of cluster synchronisation is presented and a brief proof is given. Finally, numerical examples are carried out to show the effectiveness of our results. Journal: International Journal of Systems Science Pages: 3391-3402 Issue: 16 Volume: 48 Year: 2017 Month: 12 X-DOI: 10.1080/00207721.2017.1382606 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1382606 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:16:p:3391-3402 Template-Type: ReDIF-Article 1.0 Author-Name: Shaoming He Author-X-Name-First: Shaoming Author-X-Name-Last: He Author-Name: Jiang Wang Author-X-Name-First: Jiang Author-X-Name-Last: Wang Author-Name: Wei Wang Author-X-Name-First: Wei Author-X-Name-Last: Wang Title: A novel sliding mode guidance law without line-of-sight angular rate information accounting for autopilot lag Abstract: This paper proposes a new composite guidance law to intercept manoeuvring targets without line-of-sight (LOS) angular rate information in the presence of autopilot lag. The presented formulation is obtained via a combination of homogeneous theory and sliding mode control approach. Different from some existing observers, the proposed homogeneous observer can estimate the lumped uncertainty and the LOS angular rate in an integrated manner. To reject the mismatched lumped uncertainty in the integrated guidance and autopilot system, a sliding surface, which consists of the system states and the estimated states, is proposed and a robust guidance law is then synthesised. Stability analysis shows that the LOS angular rate can be stabilised in a small region around zero asymptotically and the upper bound can be lowered by appropriate parameter choice. Numerical simulations with some comparisons are carried out to demonstrate the superiority of the proposed method. Journal: International Journal of Systems Science Pages: 3363-3373 Issue: 16 Volume: 48 Year: 2017 Month: 12 X-DOI: 10.1080/00207721.2017.1382607 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1382607 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:16:p:3363-3373 Template-Type: ReDIF-Article 1.0 Author-Name: F. R. López-Estrada Author-X-Name-First: F. R. Author-X-Name-Last: López-Estrada Author-Name: C. M. Astorga-Zaragoza Author-X-Name-First: C. M. Author-X-Name-Last: Astorga-Zaragoza Author-Name: D. Theilliol Author-X-Name-First: D. Author-X-Name-Last: Theilliol Author-Name: J. C. Ponsart Author-X-Name-First: J. C. Author-X-Name-Last: Ponsart Author-Name: G. Valencia-Palomo Author-X-Name-First: G. Author-X-Name-Last: Valencia-Palomo Author-Name: L. Torres Author-X-Name-First: L. Author-X-Name-Last: Torres Title: Observer synthesis for a class of Takagi–Sugeno descriptor system with unmeasurable premise variable. Application to fault diagnosis Abstract: This paper proposes a methodology to design a Takagi–Sugeno (TS) descriptor observer for a class of TS descriptor systems. Unlike the popular approach that considers measurable premise variables, this paper considers the premise variables depending on unmeasurable vectors, e.g. the system states. This consideration covers a large class of nonlinear systems and represents a real challenge for the observer synthesis. Sufficient conditions to guarantee robustness against the unmeasurable premise variables and asymptotic convergence of the TS descriptor observer are obtained based on the H∞ approach together with the Lyapunov method. As a result, the designing conditions are given in terms of linear matrix inequalities (LMIs). In addition, sensor fault detection and isolation are performed by means of a generalised observer bank. Two numerical experiments, an electrical circuit and a rolling disc system, are presented in order to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 3419-3430 Issue: 16 Volume: 48 Year: 2017 Month: 12 X-DOI: 10.1080/00207721.2017.1384517 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1384517 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:16:p:3419-3430 Template-Type: ReDIF-Article 1.0 Author-Name: Bing Sun Author-X-Name-First: Bing Author-X-Name-Last: Sun Title: Maximum principle for optimal control of vibrations of a dynamic Gao beam in contact with a rigid foundation Abstract: In our preceding paper, we studied an optimal control problem of vibrations of a dynamic Gao beam in contact with a reactive foundation and derived the Pontryagin maximum principle for the controlled system in fixed final horizon case. As a follow-up, in this paper, we focus on the investigation of the Gao beam that may come in contact with a rigid foundation underneath it. In this case, the nonlinear viscoelastic beam equation is equipped with the Signorini condition. By the Dubovitskii and Milyutin functional analytical approach, we investigate the new optimal control problem with multiple inequality constraints and present further original results of current interests. Journal: International Journal of Systems Science Pages: 3522-3529 Issue: 16 Volume: 48 Year: 2017 Month: 12 X-DOI: 10.1080/00207721.2017.1384860 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1384860 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:16:p:3522-3529 Template-Type: ReDIF-Article 1.0 Author-Name: Tongqian Zhang Author-X-Name-First: Tongqian Author-X-Name-Last: Zhang Author-Name: Wanbiao Ma Author-X-Name-First: Wanbiao Author-X-Name-Last: Ma Author-Name: Xinzhu Meng Author-X-Name-First: Xinzhu Author-X-Name-Last: Meng Title: Impulsive control of a continuous-culture and flocculation harvest chemostat model Abstract: In this paper, a new mathematical model describing the process of continuous culture and harvest of microalgaes is proposed. By inputting medium and flocculant at two different fixed moments periodically, continuous culture and harvest of microalgaes is implemented. The mathematical analysis is conducted and the whole dynamics of model is investigated by using theory of impulsive differential equations. We find that the model has a microalgaes-extinction periodic solution and it is globally asymptotically stable when some certain threshold value is less than the unit. And the model is permanent when some certain threshold value is larger than the unit. Then, according to the threshold, the control strategies of continuous culture and harvest of microalgaes are discussed. The results show that continuous culture and harvest of microalgaes can be archived by adjusting suitable input time, input amount of medium or flocculant. Finally, some numerical simulations are carried out to verify the control strategy. Journal: International Journal of Systems Science Pages: 3459-3469 Issue: 16 Volume: 48 Year: 2017 Month: 12 X-DOI: 10.1080/00207721.2017.1384861 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1384861 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:16:p:3459-3469 Template-Type: ReDIF-Article 1.0 Author-Name: Shengqin Jiang Author-X-Name-First: Shengqin Author-X-Name-Last: Jiang Author-Name: Xiaobo Lu Author-X-Name-First: Xiaobo Author-X-Name-Last: Lu Author-Name: Guoliang Cai Author-X-Name-First: Guoliang Author-X-Name-Last: Cai Author-Name: Shuiming Cai Author-X-Name-First: Shuiming Author-X-Name-Last: Cai Title: Adaptive fixed-time control for cluster synchronisation of coupled complex networks with uncertain disturbances Abstract: This paper focuses on the cluster synchronisation problem of coupled complex networks with uncertain disturbances under an adaptive fixed-time control strategy. To begin with, complex dynamical networks with community structure which are subject to uncertain disturbances are taken into account. Then, a novel adaptive control strategy combined with fixed-time techniques is proposed to guarantee the nodes in the communities to desired states in a settling time. In addition, the stability of complex error systems is theoretically proved based on Lyapunov stability theorem. At last, two examples are presented to verify the effectiveness of the proposed adaptive fixed-time control. Journal: International Journal of Systems Science Pages: 3382-3390 Issue: 16 Volume: 48 Year: 2017 Month: 12 X-DOI: 10.1080/00207721.2017.1384962 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1384962 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:16:p:3382-3390 Template-Type: ReDIF-Article 1.0 Author-Name: H. El Aiss Author-X-Name-First: H. Author-X-Name-Last: El Aiss Author-Name: A. Hmamed Author-X-Name-First: A. Author-X-Name-Last: Hmamed Author-Name: A. El Hajjaji Author-X-Name-First: A. Author-X-Name-Last: El Hajjaji Title: Improved stability and H performance criteria for linear systems with interval time-varying delays via three terms approximation Abstract: This paper investigates the problem of delay dependent stability and H∞ performance for a class of linear systems with interval time-varying delay. A new model transformation is first proposed by employing a three-terms approximation of delayed state variables, for a better approximation of delayed state. By using scaled small gain theorem and a simple Lyapunov–Krasovskii functional, new stability and H∞ performance criteria are proposed in terms of linear matrix inequalities, which can be easily solved by using standard numerical packages. Finally, numerical examples are presented to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 3450-3458 Issue: 16 Volume: 48 Year: 2017 Month: 12 X-DOI: 10.1080/00207721.2017.1384963 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1384963 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:16:p:3450-3458 Template-Type: ReDIF-Article 1.0 Author-Name: Na Gao Author-X-Name-First: Na Author-X-Name-Last: Gao Author-Name: Xiao-guang Han Author-X-Name-First: Xiao-guang Author-X-Name-Last: Han Author-Name: Zeng-qiang Chen Author-X-Name-First: Zeng-qiang Author-X-Name-Last: Chen Author-Name: Qing Zhang Author-X-Name-First: Qing Author-X-Name-Last: Zhang Title: A novel matrix approach to observability analysis of finite automata Abstract: In this paper, the observability of finite automata (acronym is FA) that contain both deterministic finite automata and non-deterministic finite automata is investigated under the framework of the semi-tensor product of matrices. For both initial state and current state cases, two different observability definitions with or without input information are considered, respectively. First, we show that how the observability problem of initial state of FA can be transformed to the construction problem of an initial state-outputs matrix that presents the relationship between initial state and outputs. Second, a current state-outputs matrix to verify the observability problem of current state is given. When two matrices are obtained, four theorems to verify the observability of initial state and current state are presented, respectively. In particular, compared with the existing approach, the proposed approach not only provides a unified verification for the two types of observability of both initial state and current state but also reduces the computational complexity considerably. An illustrative example is presented to show the theoretical results. Journal: International Journal of Systems Science Pages: 3558-3568 Issue: 16 Volume: 48 Year: 2017 Month: 12 X-DOI: 10.1080/00207721.2017.1384964 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1384964 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:16:p:3558-3568 Template-Type: ReDIF-Article 1.0 Author-Name: Liying Zhu Author-X-Name-First: Liying Author-X-Name-Last: Zhu Author-Name: Jianbin Qiu Author-X-Name-First: Jianbin Author-X-Name-Last: Qiu Author-Name: Mohammed Chadli Author-X-Name-First: Mohammed Author-X-Name-Last: Chadli Title: Modelling and stability analysis of switching impulsive power systems with multiple equilibria Abstract: This paper tries to model power systems accompanied with a series of faults in the form of switched impulsive Hamiltonian systems (SIHSs) with multiple equilibria (ME) and unstable subsystems (US), and then analyze long-term stability issues of the power systems from the viewpoint of mathematics. According to the complex phenomena of switching actions of stages and generators, impulses of state, and existence of multiple equilibria, this paper first introduces an SIHS with ME and US to formulate a switching impulsive power system composed of an active generator, a standby generator, and an infinite load. Then, based on special system structures, a unique compact region containing all ME is determined, and novel stability concepts of region stability (RS), asymptotic region stability (ARS), and exponential region stability (ERS) are defined for such SIHS with respect to the region. Third, based on the introduced stability concepts, this paper proposes a necessary and sufficient condition of RS and ARS and a sufficient condition of ERS for the power system with respect to the region via the maximum energy function method. Finally, numerical simulations are carried out for a power system to show the effectiveness and practicality of the obained novel results. Journal: International Journal of Systems Science Pages: 3470-3490 Issue: 16 Volume: 48 Year: 2017 Month: 12 X-DOI: 10.1080/00207721.2017.1385874 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1385874 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:16:p:3470-3490 Template-Type: ReDIF-Article 1.0 Author-Name: V. A. Zaitsev Author-X-Name-First: V. A. Author-X-Name-Last: Zaitsev Title: Uniform global asymptotic stabilisation of bilinear non-homogeneous periodic systems with stable free dynamics Abstract: We study the problem of uniform global asymptotic stabilisation of the origin for bilinear non-homogeneous control systems with periodic coefficients by means of state feedback. We assume that the free dynamic system is Lyapunov stable. We obtain new controllability-like rank conditions, which are sufficient for uniform global asymptotic stabilisation of the periodic bilinear systems. The proof is based on the use of the Krasovsky–La Salle invariance principle for periodic systems. A stabilising feedback control law is quadratic in the state variable and periodic in the time variable. Consequences derived for linear and homogeneous bilinear systems. Under some assumptions, the controllability-like rank condition for linear and homogeneous bilinear systems coincides correspondingly with the property of complete controllability and consistency. Journal: International Journal of Systems Science Pages: 3403-3410 Issue: 16 Volume: 48 Year: 2017 Month: 12 X-DOI: 10.1080/00207721.2017.1385875 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1385875 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:16:p:3403-3410 Template-Type: ReDIF-Article 1.0 Author-Name: Zhao-hong Jia Author-X-Name-First: Zhao-hong Author-X-Name-Last: Jia Author-Name: Ming-li Pei Author-X-Name-First: Ming-li Author-X-Name-Last: Pei Author-Name: Joseph Y.-T. Leung Author-X-Name-First: Joseph Y.-T. Author-X-Name-Last: Leung Title: Multi-objective ACO algorithms to minimise the makespan and the total rejection cost on BPMs with arbitrary job weights Abstract: In this paper, we investigate the batch-scheduling problem with rejection on parallel machines with non-identical job sizes and arbitrary job-rejected weights. If a job is rejected, the corresponding penalty has to be paid. Our objective is to minimise the makespan of the processed jobs and the total rejection cost of the rejected jobs. Based on the selected multi-objective optimisation approaches, two problems, P1 and P2, are considered. In P1, the two objectives are linearly combined into one single objective. In P2, the two objectives are simultaneously minimised and the Pareto non-dominated solution set is to be found. Based on the ant colony optimisation (ACO), two algorithms, called LACO and PACO, are proposed to address the two problems, respectively. Two different objective-oriented pheromone matrices and heuristic information are designed. Additionally, a local optimisation algorithm is adopted to improve the solution quality. Finally, simulated experiments are conducted, and the comparative results verify the effectiveness and efficiency of the proposed algorithms, especially on large-scale instances. Journal: International Journal of Systems Science Pages: 3542-3557 Issue: 16 Volume: 48 Year: 2017 Month: 12 X-DOI: 10.1080/00207721.2017.1387314 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1387314 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:16:p:3542-3557 Template-Type: ReDIF-Article 1.0 Author-Name: Fengfa Yue Author-X-Name-First: Fengfa Author-X-Name-Last: Yue Author-Name: Xingfei Li Author-X-Name-First: Xingfei Author-X-Name-Last: Li Author-Name: Cheng Chen Author-X-Name-First: Cheng Author-X-Name-Last: Chen Author-Name: Wenbin Tan Author-X-Name-First: Wenbin Author-X-Name-Last: Tan Title: Adaptive integral backstepping sliding mode control for opto-electronic tracking system based on modified LuGre friction model Abstract: In order to improve the control accuracy and stability of opto-electronic tracking system fixed on reef or airport under friction and external disturbance conditions, adaptive integral backstepping sliding mode control approach with friction compensation is developed to achieve accurate and stable tracking for fast moving target. The nonlinear observer and slide mode controller based on modified LuGre model with friction compensation can effectively reduce the influence of nonlinear friction and disturbance of this servo system. The stability of the closed-loop system is guaranteed by Lyapunov theory. The steady-state error of the system is eliminated by integral action. The adaptive integral backstepping sliding mode controller and its performance are validated by a nonlinear modified LuGre dynamic model of the opto-electronic tracking system in simulation and practical experiments. The experiment results demonstrate that the proposed controller can effectively realise the accuracy and stability control of opto-electronic tracking system. Journal: International Journal of Systems Science Pages: 3374-3381 Issue: 16 Volume: 48 Year: 2017 Month: 12 X-DOI: 10.1080/00207721.2017.1387315 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1387315 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:48:y:2017:i:16:p:3374-3381 Template-Type: ReDIF-Article 1.0 Author-Name: Zhi-Qiang Feng Author-X-Name-First: Zhi-Qiang Author-X-Name-Last: Feng Author-Name: Cun-Gen Liu Author-X-Name-First: Cun-Gen Author-X-Name-Last: Liu Title: On vague logics and approximate reasoning based on vague linear transformation Abstract: As a generalisation of the Fuzzy Sets theory, vague set has been proven to be a new tool in dealing with vague information. In this article, we attempt to generalise the techniques of fuzzy inference in a vague environment. In the rule-based inference system, an ‘if … then …’ rule can be considered a transformer that implements information conversion between input–output ends. Thus, according to the logical operations of vague linguistic variables, we introduce an approach to approximation inference based on linear transformation, and then discuss the representations for several inference structures regarding single rule, multi-rules and compound rules. By defining the inclusion function of vague sets, we provide vague rough approximation based on measure of inclusion, and then present a method on rule creation from a decision system. A case study on the prediction for welding deformation is used to illustrate the effectiveness of the proposed approaches. Journal: International Journal of Systems Science Pages: 1591-1602 Issue: 9 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.549579 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549579 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:9:p:1591-1602 Template-Type: ReDIF-Article 1.0 Author-Name: Yunfei Yin Author-X-Name-First: Yunfei Author-X-Name-Last: Yin Author-Name: Guanghong Gong Author-X-Name-First: Guanghong Author-X-Name-Last: Gong Author-Name: Liang Han Author-X-Name-First: Liang Author-X-Name-Last: Han Title: A framework for interval-valued information system Abstract: Interval-valued information system is used to transform the conventional dataset into the interval-valued form. To conduct the interval-valued data mining, we conduct two investigations: (1) construct the interval-valued information system, and (2) conduct the interval-valued knowledge discovery. In constructing the interval-valued information system, we first make the paired attributes in the database discovered, and then, make them stored in the neighbour locations in a common database and regard them as ‘one’ new field. In conducting the interval-valued knowledge discovery, we utilise some related priori knowledge and regard the priori knowledge as the control objectives; and design an approximate closed-loop control mining system. On the implemented experimental platform (prototype), we conduct the corresponding experiments and compare the proposed algorithms with several typical algorithms, such as the Apriori algorithm, the FP-growth algorithm and the CLOSE+ algorithm. The experimental results show that the interval-valued information system method is more effective than the conventional algorithms in discovering interval-valued patterns. Journal: International Journal of Systems Science Pages: 1603-1622 Issue: 9 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.549580 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549580 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:9:p:1603-1622 Template-Type: ReDIF-Article 1.0 Author-Name: Mark Fackrell Author-X-Name-First: Mark Author-X-Name-Last: Fackrell Title: A semi-infinite programming approach to identifying matrix-exponential distributions Abstract: The Laplace–Stieltjes transform of a matrix-exponential (ME) distribution is a rational function where at least one of its poles of maximal real part is real and negative. The coefficients of the numerator polynomial, however, are more difficult to characterise. It is known that they are contained in a bounded convex set that is the intersection of an uncountably infinite number of linear half-spaces. In order to determine whether a given vector of numerator coefficients is contained in this set (i.e. the vector corresponds to an ME distribution) we present a semi-infinite programming algorithm that minimises a convex distance function over the set. In addition, in the event that the given vector does not correspond to an ME distribution, the algorithm returns a closest vector which does correspond to one. Journal: International Journal of Systems Science Pages: 1623-1631 Issue: 9 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.549582 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549582 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:9:p:1623-1631 Template-Type: ReDIF-Article 1.0 Author-Name: Xufeng Zhao Author-X-Name-First: Xufeng Author-X-Name-Last: Zhao Author-Name: Toshio Nakagawa Author-X-Name-First: Toshio Author-X-Name-Last: Nakagawa Author-Name: Cunhua Qian Author-X-Name-First: Cunhua Author-X-Name-Last: Qian Title: Optimal imperfect preventive maintenance policies for a used system Abstract: In some practical situations, it may be more economical to work a used system than do a new one. From this viewpoint, this article considers three basic preventive maintenance (PM) policies for a used system: the system with initial variable damage Y0 begins to operate at time 0, and suffers damage due to shocks. It fails when the total damage exceeds a failure level K and corrective maintenance is made immediately. To prevent such failure, it undergoes PM at a planned time T, a shock number N and a damage level k, but maintenances are imperfect. However, failure rate of a used system maybe higher than that of a new one, so some maintenance is applied to the policies at each shock in the extended models. Using the theory of cumulative processes, expected cost rate models are obtained, optimal policies which minimise them are derived analytically and discussed numerically. Journal: International Journal of Systems Science Pages: 1632-1641 Issue: 9 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.549583 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549583 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:9:p:1632-1641 Template-Type: ReDIF-Article 1.0 Author-Name: Van-Tsai Liu Author-X-Name-First: Van-Tsai Author-X-Name-Last: Liu Author-Name: Chun-Liang Lin Author-X-Name-First: Chun-Liang Author-X-Name-Last: Lin Author-Name: Home-Young Wing Author-X-Name-First: Home-Young Author-X-Name-Last: Wing Title: New realisation of Preisach model using adaptive polynomial approximation Abstract: Modelling system with hysteresis has received considerable attention recently due to the increasing accurate requirement in engineering applications. The classical Preisach model (CPM) is the most popular model to demonstrate hysteresis which can be represented by infinite but countable first-order reversal curves (FORCs). The usage of look-up tables is one way to approach the CPM in actual practice. The data in those tables correspond with the samples of a finite number of FORCs. This approach, however, faces two major problems: firstly, it requires a large amount of memory space to obtain an accurate prediction of hysteresis; secondly, it is difficult to derive efficient ways to modify the data table to reflect the timing effect of elements with hysteresis. To overcome, this article proposes the idea of using a set of polynomials to emulate the CPM instead of table look-up. The polynomial approximation requires less memory space for data storage. Furthermore, the polynomial coefficients can be obtained accurately by using the least-square approximation or adaptive identification algorithm, such as the possibility of accurate tracking of hysteresis model parameters. Journal: International Journal of Systems Science Pages: 1642-1649 Issue: 9 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.549585 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549585 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:9:p:1642-1649 Template-Type: ReDIF-Article 1.0 Author-Name: G.Q. Cheng Author-X-Name-First: G.Q. Author-X-Name-Last: Cheng Author-Name: L. Li Author-X-Name-First: L. Author-X-Name-Last: Li Title: A geometric process repair model with inspections and its optimisation Abstract: In this article, a deteriorating simple repairable system with inspections, is studied. We assume that the system failure can only be detected by inspections and the repair of the system is not as good as new. Further assume that the successive working times of the system form a decreasing geometric process whereas the consecutive repair times form an increasing geometric process. Under these assumptions, we present a bivariate mixed policy (T, N), respectively, based on the time interval between two successive inspections and the failure-number of the system. Our aim is to determine an optimal mixed policy (T, N)* such that the long-run average cost per unit time (i.e. the average cost rate) is minimised. The explicit expression of the average cost rate is derived, and the corresponding optimal mixed policy can be determined numerically. Finally, we provide a numerical example to illustrate our model, and carry through some discussions and sensitivity analysis. Journal: International Journal of Systems Science Pages: 1650-1655 Issue: 9 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.549586 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549586 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:9:p:1650-1655 Template-Type: ReDIF-Article 1.0 Author-Name: Chuanxu Wang Author-X-Name-First: Chuanxu Author-X-Name-Last: Wang Title: Robust model predictive control by iterative optimisation for polytopic uncertain systems Abstract: This article addresses robust model predictive control (MPC) for constrained systems with polytopic uncertainty description. Firstly, in the technique which parametrises the infinite horizon control moves into a single state feedback law and invokes the parameter-dependent Lyapunov method for achieving closed-loop stability, the slack matrices are iteratively solved at each sampling time. Secondly, in the technique which parametrises the infinite horizon control moves into a set of free perturbations followed by a single state feedback law, the feedback gains within the switch horizon are iteratively found at each sampling time, rather than just inherited from the previous sampling time. Numerical examples show that iterative MPC can not only improve the control performance, but also enlarge the region of attraction. Journal: International Journal of Systems Science Pages: 1656-1663 Issue: 9 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.549588 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549588 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:9:p:1656-1663 Template-Type: ReDIF-Article 1.0 Author-Name: Lei Liu Author-X-Name-First: Lei Author-X-Name-Last: Liu Author-Name: Yi Shen Author-X-Name-First: Yi Author-X-Name-Last: Shen Author-Name: Feng Jiang Author-X-Name-First: Feng Author-X-Name-Last: Jiang Title: Delay-dependent exponential stability of stochastic delay differential system whose coefficients obey the polynomial growth condition Abstract: This article discusses the exponential stability of nonlinear stochastic delay differential systems (SDDSs) whose coefficients obey the polynomial growth condition. Delay-dependent criteria on almost sure exponential stability and pth moment exponential stability of such SDDSs have been established. By applying some novel techniques, our criteria work for many SDDSs including some cases in which the ℒV operator has a complicated form, which seemingly prevents the existing results from being directly used. The range of order of moment exponential stability and the decay rate can be estimated through the coefficients of the system. Journal: International Journal of Systems Science Pages: 1664-1672 Issue: 9 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.549589 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549589 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:9:p:1664-1672 Template-Type: ReDIF-Article 1.0 Author-Name: Ning Cao Author-X-Name-First: Ning Author-X-Name-Last: Cao Author-Name: Huaguang Zhang Author-X-Name-First: Huaguang Author-X-Name-Last: Zhang Author-Name: Yanhong Luo Author-X-Name-First: Yanhong Author-X-Name-Last: Luo Author-Name: Dezhi Feng Author-X-Name-First: Dezhi Author-X-Name-Last: Feng Title: Infinite horizon optimal control of affine nonlinear discrete switched systems using two-stage approximate dynamic programming Abstract: In this article, a novel iteration algorithm named two-stage approximate dynamic programming (TSADP) is proposed to seek the solution of nonlinear switched optimal control problem. At each iteration of TSADP, a multivariate optimal control problem is transformed to be a certain number of univariate optimal control problems. It is shown that the value function at each iteration can be characterised pointwisely by a set of smooth functions recursively obtained from TSADP, and the associated control policy, continuous control and switching control law included, is explicitly provided in a state-feedback form. Moreover, the convergence and optimality of TSADP is strictly proven. To implement this algorithm efficiently, neural networks, critic and action networks, are utilised to approximate the value function and continuous control law, respectively. Thus, the value function is expressed by the weights of critic networks pointwise. Besides, redundant weights are ruled out at each iteration to simplify the exponentially increasing computation burden. Finally, a simulation example is provided to demonstrate its effectiveness. Journal: International Journal of Systems Science Pages: 1673-1682 Issue: 9 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.549590 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549590 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:9:p:1673-1682 Template-Type: ReDIF-Article 1.0 Author-Name: Ding Zhai Author-X-Name-First: Ding Author-X-Name-Last: Zhai Author-Name: Qing-Ling Zhang Author-X-Name-First: Qing-Ling Author-X-Name-Last: Zhang Author-Name: Guo-Yi Liu Author-X-Name-First: Guo-Yi Author-X-Name-Last: Liu Title: Robust stability analysis of linear systems with parametric uncertainty Abstract: This article is concerned with the problem of robust stability analysis of linear systems with uncertain parameters. By constructing an equivalent system with positive uncertain parameters and using the properties of these parameters, a new stability analysis condition is derived. Due to making use of the properties of uncertain parameters, the new proposed method has potential to give less conservative results than the existing approaches. A numerical example is given to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1683-1688 Issue: 9 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.549591 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549591 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:9:p:1683-1688 Template-Type: ReDIF-Article 1.0 Author-Name: Hong-Fwu Yu Author-X-Name-First: Hong-Fwu Author-X-Name-Last: Yu Author-Name: Wen-Kai Hsu Author-X-Name-First: Wen-Kai Author-X-Name-Last: Hsu Author-Name: Wen-Jui Chang Author-X-Name-First: Wen-Jui Author-X-Name-Last: Chang Title: EOQ model where a portion of the defectives can be used as perfect quality Abstract: The main purpose of this article is to investigate an economic order quantity model for products with imperfect quality, where the defective items are screened out by a 100% inspection process and then can be sold in a single batch by the end of the inspection process. However, differing from the previous studies on the topic, we assume, in this article, that a portion of the defectives (called the acceptable defective part) can be utilised as perfect quality and that the utilisation of the acceptable defective part will reduce the consumption of the remaining perfect quality items after the defectives are sold. In practice, there are a number of goods (e.g. clothes, sporting shoes, purses, porcelain dishes, fruits, vegetables, etc.) with such characteristic. First, we construct the model in terms of annual profit and find the optimal order quantity with a constant defective percentage. Next, we determine the optimal order quantity for the case that the defective percentage follows a uniform distribution by maximising the expected annual profit. For both cases, two properties of the optimal order quantity and the corresponding annual profit are also given. Finally, two numerical examples are provided to illustrate the proposed models. Journal: International Journal of Systems Science Pages: 1689-1698 Issue: 9 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.549593 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549593 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:9:p:1689-1698 Template-Type: ReDIF-Article 1.0 Author-Name: Gerasimos Rigatos Author-X-Name-First: Gerasimos Author-X-Name-Last: Rigatos Title: A derivative-free distributed filtering approach for sensorless control of nonlinear systems Abstract: This article examines the problem of sensorless control for nonlinear dynamical systems with the use of derivative-free Extended Information Filtering (EIF). The system is first subject to a linearisation transformation and next state estimation is performed by applying the standard Kalman Filter to the linearised model. At a second level, the standard Information Filter is used to fuse the state estimates obtained from local derivative-free Kalman filters running at the local information processing nodes. This approach has significant advantages because unlike the EIF (i) is not based on local linearisation of the nonlinear dynamics (ii) does not assume truncation of higher order Taylor expansion terms thus preserving the accuracy and robustness of the performed estimation and (iii) does not require the computation of Jacobian matrices. As a case study a robotic manipulator is considered and a cameras network consisting of multiple vision nodes is assumed to provide the visual information to be used in the control loop. A derivative-free implementation of the EIF is used to produce the aggregate state vector of the robot by processing local state estimates coming from the distributed vision nodes. The performance of the considered sensorless control scheme is evaluated through simulation experiments. Journal: International Journal of Systems Science Pages: 1699-1712 Issue: 9 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.549594 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549594 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:9:p:1699-1712 Template-Type: ReDIF-Article 1.0 Author-Name: Ali Sghaier Tlili Author-X-Name-First: Ali Sghaier Author-X-Name-Last: Tlili Author-Name: Sadok Dhbaibi Author-X-Name-First: Sadok Author-X-Name-Last: Dhbaibi Author-Name: Naceur Braiek Author-X-Name-First: Naceur Author-X-Name-Last: Braiek Title: Robust decentralised observer based guaranteed cost control for nonlinear uncertain interconnected systems. Application to multi-machine power systems Abstract: This article addresses the problem of a robust decentralised observer based guaranteed cost control for nonlinear interconnected systems with norm bounded time varying parameter uncertainties. Sufficient conditions for the robust stabilisation and the guaranteed cost control performances of the closed-loop system are formulated in an optimisation problem in terms of linear matrix inequalities. Moreover, the designed problem is solved by a proposed iterative algorithm to compute the observer and the control gain matrices, to minimise the upper bound of a prescribed performance index and to maximise the nonlinearity domain, which leave the augmented system stable, despite the emerged uncertainties on the subsystems and on the interconnections between them. An extensive application example of a power system with three interconnected machines is discussed to demonstrate the reliability of the proposed control approach. Journal: International Journal of Systems Science Pages: 1713-1727 Issue: 9 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.549615 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549615 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:9:p:1713-1727 Template-Type: ReDIF-Article 1.0 Author-Name: Ying-Ying Liu Author-X-Name-First: Ying-Ying Author-X-Name-Last: Liu Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Sampled-data control for networked control systems with digital control inputs Abstract: In this article, the problem of sampled-data H∞ control for networked control systems (NCSs) with digital control inputs is considered, where the physical plant is modelled as a continuous-time one, and the control inputs are discrete-time signals. By exploiting a novel Lyapunov–Krasovskii functional, using the Leibniz–Newton formula and a free-weighting matrix method, sufficient conditions for sampled-data H∞ performance analysis and H∞ controller design for such systems are given. Since the obtained conditions of H∞ controller design are not expressed strictly in term of linear matrix inequalities, the sampled-data H∞ controller is solved using modified cone complementary linearisation algorithm. In addition, the new sampled-data stability criteria for the NCSs is proved to be less conservative than some existing results. Numerical examples demonstrate the effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 1728-1740 Issue: 9 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.550401 File-URL: http://hdl.handle.net/10.1080/00207721.2010.550401 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:9:p:1728-1740 Template-Type: ReDIF-Article 1.0 Author-Name: Li-Hui Geng Author-X-Name-First: Li-Hui Author-X-Name-Last: Geng Author-Name: De-Yun Xiao Author-X-Name-First: De-Yun Author-X-Name-Last: Xiao Author-Name: Tao Zhang Author-X-Name-First: Tao Author-X-Name-Last: Zhang Author-Name: Jing-Yan Song Author-X-Name-First: Jing-Yan Author-X-Name-Last: Song Title: Robust control oriented identification of errors-in-variables models based on normalised coprime factors Abstract: A robust control oriented identification approach is proposed to deal with the identification of errors-in-variables models (EIVMs), which are corrupted with input and output noises. Based on normalised coprime factor model (NCFM) representations, a frequency-domain perturbed NCFM for an EIVM is derived according to a geometrical explanation for the v-gap metric. As a result, identification of the EIVM is converted into that of the NCFM. Besides an identified nominal NCFM, its worst case error has to be quantified. Unlike other traditional control-oriented identification methods, the v-gap metric is employed to measure the uncertainties including a priori information on the disturbing noises and the worst case error for the resulting nominal NCFM. Since this metric is also used as an optimisation criterion, the associate parameter estimation problem can be effectively solved by linear matrix inequalities. Finally, a numerical simulation shows the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1741-1752 Issue: 9 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.554910 File-URL: http://hdl.handle.net/10.1080/00207721.2011.554910 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:9:p:1741-1752 Template-Type: ReDIF-Article 1.0 Author-Name: Abderazik Birouche Author-X-Name-First: Abderazik Author-X-Name-Last: Birouche Author-Name: Benjamin Mourllion Author-X-Name-First: Benjamin Author-X-Name-Last: Mourllion Author-Name: Michel Basset Author-X-Name-First: Michel Author-X-Name-Last: Basset Title: Model order-reduction for discrete-time switched linear systems Abstract: This article describes the problem of model order-reduction for a class of hybrid discrete-time switched linear systems composed of linear discrete-time invariant subsystems with a switching rule. This article investigates two novel approaches to model order-reduction. The first approach consists in evaluating the error approximation performance; the problems are solved using the robust stability results of the switched systems. The second approach presents the reachability and observability Gramians of the switched systems, which allows a balanced truncation model reduction procedure. A numerical example shows the effectiveness of the proposed approaches. Journal: International Journal of Systems Science Pages: 1753-1763 Issue: 9 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.554911 File-URL: http://hdl.handle.net/10.1080/00207721.2011.554911 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:9:p:1753-1763 Template-Type: ReDIF-Article 1.0 Author-Name: Seunghwan Chae Author-X-Name-First: Seunghwan Author-X-Name-Last: Chae Author-Name: Dan Huang Author-X-Name-First: Dan Author-X-Name-Last: Huang Author-Name: Sing Nguang Author-X-Name-First: Sing Author-X-Name-Last: Nguang Title: Robust partially mode delay dependent ℋ control of discrete-time networked control systems Abstract: This article proposes a methodology for designing a partially mode delay dependent ℋ∞ controller design for discrete-time systems with random communication delays. Communication delays between sensors and controller are modelled by a finite state Markov chain where the transition probability matrix is partially known. Stability criteria are obtained based on Lyapunov–Krasovskii functional and a novel methodology for designing a partially mode delay dependent state feedback controller has been proposed. The controller is obtained by solving linear matrix inequality optimisation problems using cone complimentarity linearisation algorithm. A numerical example is provided to illustrate the effectiveness of the proposed controller. Journal: International Journal of Systems Science Pages: 1764-1773 Issue: 9 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.554913 File-URL: http://hdl.handle.net/10.1080/00207721.2011.554913 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:9:p:1764-1773 Template-Type: ReDIF-Article 1.0 Author-Name: A.G. Lagodimos Author-X-Name-First: A.G. Author-X-Name-Last: Lagodimos Author-Name: I.T. Christou Author-X-Name-First: I.T. Author-X-Name-Last: Christou Author-Name: K. Skouri Author-X-Name-First: K. Author-X-Name-Last: Skouri Title: Optimal (, , ) batch-ordering policy under stationary demand Abstract: We consider the control of a single-echelon inventory system under the standard batch-ordering policy. Demand follows a stationary stochastic process and, when unsatisfied, is backordered. Under a standard cost structure, we seek to minimise total average cost per unit time. In contrast to previous research, all three policy variables (i.e. reorder level r, batch size Q and review interval T) are simultaneously optimised. While average total cost is not convex, analytic properties for two new cost bounds and a Newsboy characterisation of the optimal solution lead to an exact search algorithm with guaranteed convergence to the global optimum. Computational results demonstrate that the inclusion of the review interval as a decision variable in the optimisation problem can offer substantial cost savings. Journal: International Journal of Systems Science Pages: 1774-1784 Issue: 9 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.555010 File-URL: http://hdl.handle.net/10.1080/00207721.2011.555010 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:9:p:1774-1784 Template-Type: ReDIF-Article 1.0 Author-Name: L.B. Xie Author-X-Name-First: L.B. Author-X-Name-Last: Xie Author-Name: C.Y. Wu Author-X-Name-First: C.Y. Author-X-Name-Last: Wu Author-Name: L.S. Shieh Author-X-Name-First: L.S. Author-X-Name-Last: Shieh Author-Name: J.S.H. Tsai Author-X-Name-First: J.S.H. Author-X-Name-Last: Tsai Title: Digital decoupling controller design for multiple time-delay continuous-time transfer function matrices Abstract: This paper presents an extended adjoint decoupling method to conduct the digital decoupling controller design for the continuous-time transfer function matrices with multiple (integer/fractional) time delays in both the denominator and the numerator matrix. First, based on the sampled unit-step response data of the afore-mentioned multiple time-delay system, the conventional balanced model-reduction method is utilised to construct an approximated discrete-time model of the original (known/unknown) multiple time-delay continuous-time transfer function matrix. Then, a digital decoupling controller is designed by utilising the extended adjoint decoupling method together with the conventional discrete-time root-locus method. An illustrative example is given to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 577-589 Issue: 4 Volume: 46 Year: 2015 Month: 3 X-DOI: 10.1080/00207721.2013.792974 File-URL: http://hdl.handle.net/10.1080/00207721.2013.792974 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:4:p:577-589 Template-Type: ReDIF-Article 1.0 Author-Name: Dong-Yuh Yang Author-X-Name-First: Dong-Yuh Author-X-Name-Last: Yang Author-Name: Po-Kai Chang Author-X-Name-First: Po-Kai Author-X-Name-Last: Chang Title: A parametric programming solution to the -policy queue with fuzzy parameters Abstract: This paper investigates the F-policy queue using fuzzy parameters, in which the arrival rate, service rate, and start-up rate are all fuzzy numbers. The F-policy deals with the control of arrivals in a queueing system, in which the server requires a start-up time before allowing customers to enter. A crisp F-policy queueing system generalised to a fuzzy environment would be widely applicable; therefore, we apply the α-cuts approach and Zadeh's extension principle to transform fuzzy F-policy queues into a family of crisp F-policy queues. This study presents a mathematical programming approach applicable to the construction of membership functions for the expected number of customers in the system. Furthermore, we propose an efficient solution procedure to compute the membership function of the expected number of customers in the system under different levels of α. Finally, we give an example of the proposed system as applied to a case in the automotive industry to demonstrate its practicality. Journal: International Journal of Systems Science Pages: 590-598 Issue: 4 Volume: 46 Year: 2015 Month: 3 X-DOI: 10.1080/00207721.2013.792975 File-URL: http://hdl.handle.net/10.1080/00207721.2013.792975 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:4:p:590-598 Template-Type: ReDIF-Article 1.0 Author-Name: Yanyan Yin Author-X-Name-First: Yanyan Author-X-Name-Last: Yin Author-Name: Peng Shi Author-X-Name-First: Peng Author-X-Name-Last: Shi Author-Name: Fei Liu Author-X-Name-First: Fei Author-X-Name-Last: Liu Author-Name: Kok Lay Teo Author-X-Name-First: Kok Lay Author-X-Name-Last: Teo Title: Robust − filtering for a class of dynamical systems with nonhomogeneous Markov jump process Abstract: This paper investigates the problem of robust L2 − L∞ filtering for a class of dynamical systems with nonhomogeneous Markov jump process. The time-varying transition probabilities which evolve as a nonhomogeneous jump process are described by a polytope, and parameter-dependent and mode-dependent Lyapunov function is constructed for such system, and then a robust L2 − L∞ filter is designed which guarantees that the resulting error dynamic system is robustly stochastically stable and satisfies a prescribed L2 − L∞ performance index. A numerical example is given to illustrate the effectiveness of the developed techniques. Journal: International Journal of Systems Science Pages: 599-608 Issue: 4 Volume: 46 Year: 2015 Month: 3 X-DOI: 10.1080/00207721.2013.792976 File-URL: http://hdl.handle.net/10.1080/00207721.2013.792976 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:4:p:599-608 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaofeng Li Author-X-Name-First: Xiaofeng Author-X-Name-Last: Li Author-Name: Weiqun Wang Author-X-Name-First: Weiqun Author-X-Name-Last: Wang Author-Name: Lizhen Li Author-X-Name-First: Lizhen Author-X-Name-Last: Li Title: control for 2-D T-S fuzzy FMII model with stochastic perturbation Abstract: This paper deals with the problem of H∞ control for 2-D non-linear system with stochastic perturbation. Based on spatial fuzzy set and inference mechanism, 2-D T-S fuzzy FMII model with stochastic perturbation is established first. Then the results for stability analysis and bounded real lemma are obtained. Moreover, an H∞ fuzzy controller is designed. In order to reduce the computational demand of the conditions for the existence of H∞ fuzzy controller, the control inputs are regarded as the variables independent of the states, and some free matrices are introduced to reduce the conservatism of this method. Then, a new H∞ fuzzy controller is derived. Two simulation examples are given to illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 609-624 Issue: 4 Volume: 46 Year: 2015 Month: 3 X-DOI: 10.1080/00207721.2013.793780 File-URL: http://hdl.handle.net/10.1080/00207721.2013.793780 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:4:p:609-624 Template-Type: ReDIF-Article 1.0 Author-Name: Yang Liu Author-X-Name-First: Yang Author-X-Name-Last: Liu Author-Name: Yingmin Jia Author-X-Name-First: Yingmin Author-X-Name-Last: Jia Title: Robust formation control of discrete-time multi-agent systems by iterative learning approach Abstract: By means of the iterative learning approach, robust formation control is investigated for the discrete-time multi-agent systems with unknown nonlinear dynamics, in the presence of iteration-varying initial formation errors. The formation problem is firstly converted into a stability control problem, and then a distributed iterative learning scheme is developed for networks with switching topology. Based on the 2-D analysis approach, a sufficient condition is derived to guarantee the boundedness of formation errors during the whole motion process, and feedback matrix of the proposed iterative scheme can be further determined by solving linear matrix inequalities (LMIs). Simulation results illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 625-633 Issue: 4 Volume: 46 Year: 2015 Month: 3 X-DOI: 10.1080/00207721.2013.793781 File-URL: http://hdl.handle.net/10.1080/00207721.2013.793781 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:4:p:625-633 Template-Type: ReDIF-Article 1.0 Author-Name: Jiyoung Choi Author-X-Name-First: Jiyoung Author-X-Name-Last: Choi Author-Name: Seungkeun Kim Author-X-Name-First: Seungkeun Author-X-Name-Last: Kim Author-Name: Antonios Tsourdos Author-X-Name-First: Antonios Author-X-Name-Last: Tsourdos Title: Verification of heterogeneous multi-agent system using MCMAS Abstract: The focus of the paper is how to model autonomous behaviours of heterogeneous multi-agent systems such that it can be verified that they will always operate within predefined mission requirements and constraints. This is done by using formal methods with an abstraction of the behaviours modelling and model checking for their verification. Three case studies are presented to verify the decision-making behaviours of heterogeneous multi-agent system using a convoy mission scenario. The multi-agent system in a case study has been extended by increasing the number of agents and function complexity gradually. For automatic verification, model checker for multi-agent systems (MCMAS) is adopted due to its novel capability to accommodate the multi-agent system and successfully verifies the targeting behaviours of the team-level autonomous systems. The verification results help retrospectively the design of decision-making algorithms improved by considering additional agents and behaviours during three steps of scenario modification. Consequently, the last scenario deals with the system composed of a ground control system, two unmanned aerial vehicles, and four unmanned ground vehicles with fault-tolerant and communication relay capabilities. Journal: International Journal of Systems Science Pages: 634-651 Issue: 4 Volume: 46 Year: 2015 Month: 3 X-DOI: 10.1080/00207721.2013.793890 File-URL: http://hdl.handle.net/10.1080/00207721.2013.793890 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:4:p:634-651 Template-Type: ReDIF-Article 1.0 Author-Name: Wenjie Li Author-X-Name-First: Wenjie Author-X-Name-Last: Li Author-Name: Shisheng Li Author-X-Name-First: Shisheng Author-X-Name-Last: Li Title: Online batch scheduling of equal-length jobs on two identical batch machines to maximise the number of early jobs Abstract: We study the online batch scheduling of equal-length jobs on two identical batch machines. Each batch machine can process up to b jobs simultaneously as a batch (where b is called the capacity of the machines). The goal is to determine a schedule that maximises the (weighted) number of early jobs. For the non-preemptive model, we first present an upper bound that depends on the machine capacity b, and then we provide a greedy online algorithm with a competitive ratio of 1/(b + 1). For the preemption-restart model with b = ∞, we first show that no online algorithm has a competitive ratio greater than 0.595, and then we design an online algorithm with a competitive ratio of 10-46$10-4\sqrt{6}$. Journal: International Journal of Systems Science Pages: 652-661 Issue: 4 Volume: 46 Year: 2015 Month: 3 X-DOI: 10.1080/00207721.2013.794904 File-URL: http://hdl.handle.net/10.1080/00207721.2013.794904 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:4:p:652-661 Template-Type: ReDIF-Article 1.0 Author-Name: Dorota Mozyrska Author-X-Name-First: Dorota Author-X-Name-Last: Mozyrska Author-Name: Ewa Pawłuszewicz Author-X-Name-First: Ewa Author-X-Name-Last: Pawłuszewicz Title: Controllability of -difference linear control systems with two fractional orders Abstract: In this paper, a class of h-difference linear control systems with two fractional orders is studied. We use the Caputo type h-difference operator. The formula of the solution to the stated initial value problem of the given system is proved. The problem of controllability in a finite number of steps is studied. Journal: International Journal of Systems Science Pages: 662-669 Issue: 4 Volume: 46 Year: 2015 Month: 3 X-DOI: 10.1080/00207721.2013.794907 File-URL: http://hdl.handle.net/10.1080/00207721.2013.794907 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:4:p:662-669 Template-Type: ReDIF-Article 1.0 Author-Name: Tong Wang Author-X-Name-First: Tong Author-X-Name-Last: Wang Author-Name: Yongsheng Ding Author-X-Name-First: Yongsheng Author-X-Name-Last: Ding Author-Name: Lei Zhang Author-X-Name-First: Lei Author-X-Name-Last: Zhang Author-Name: Kuangrong Hao Author-X-Name-First: Kuangrong Author-X-Name-Last: Hao Title: Delay-dependent exponential state estimators for stochastic neural networks of neutral type with both discrete and distributed delays Abstract: This paper considered the state estimation for stochastic neural networks of neutral type with discrete and distributed delays. By using available output measurements, the state estimator can approximate the neuron states, and the asymptotic property of the state error is mean square exponential stable and also almost surely exponential stable in the presence of discrete and distributed delays. Under the Lipschitz assumptions for the activation functions and the measurement nonlinearity, a delay-dependent linear matrix inequality (LMI) criterion is proposed to guarantee the existence of the desired estimators by constructing an appropriate Lyapunov-Krasovskii function. It is shown that the existence conditions and the explicit expression of the state estimator can be parameterised in terms of the solution to a LMI. Finally, two numerical examples are presented to demonstrate the validity of the theoretical results and show that the theorem can provide less conservative conditions. Journal: International Journal of Systems Science Pages: 670-680 Issue: 4 Volume: 46 Year: 2015 Month: 3 X-DOI: 10.1080/00207721.2013.794908 File-URL: http://hdl.handle.net/10.1080/00207721.2013.794908 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:4:p:670-680 Template-Type: ReDIF-Article 1.0 Author-Name: Dawei Gong Author-X-Name-First: Dawei Author-X-Name-Last: Gong Author-Name: Jinhai Liu Author-X-Name-First: Jinhai Author-X-Name-Last: Liu Author-Name: Shuangyu Zhao Author-X-Name-First: Shuangyu Author-X-Name-Last: Zhao Title: Chaotic synchronisation for coupled neural networks based on T-S fuzzy theory Abstract: Chaotic synchronisation problems for fuzzy neural networks with hybrid coupling are investigated in this paper. A novel concept that can make use of more relaxed variables by employing the new type of augmented matrices with Kronecker product operation is proposed. The proposed method can handle multitude of Kronecker product operation in Lyapunov-Krasovskii functional, and introduce more arbitrary matrices to reduce the conservatism. Since the expression based on linear matrix inequality is used, the synchronisation criteria can be easily checked in practice. Numerical simulation examples are provided to verify the effectiveness and the applicability of the proposed method. Journal: International Journal of Systems Science Pages: 681-689 Issue: 4 Volume: 46 Year: 2015 Month: 3 X-DOI: 10.1080/00207721.2013.795631 File-URL: http://hdl.handle.net/10.1080/00207721.2013.795631 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:4:p:681-689 Template-Type: ReDIF-Article 1.0 Author-Name: Abbas Chamseddine Author-X-Name-First: Abbas Author-X-Name-Last: Chamseddine Author-Name: Cédric Join Author-X-Name-First: Cédric Author-X-Name-Last: Join Author-Name: Didier Theilliol Author-X-Name-First: Didier Author-X-Name-Last: Theilliol Title: Trajectory planning/re-planning for satellite systems in rendezvous mission in the presence of actuator faults based on attainable efforts analysis Abstract: The objective of fault-tolerant control (FTC) is to minimise the effect of faults on system performance (stability, trajectory tracking, etc.). However, the majority of the existing FTC methods continue to force the system to follow the pre-fault trajectories without considering the reduction in available control resources caused by actuator faults. Forcing the system to follow the same trajectories as before fault occurrence may result in actuator saturation and system's instability. Thus, pre-fault objectives should be redefined in function of the remaining resources to avoid potential saturation. The main contribution of this paper is a flatness-based trajectory planning/re-planning method that can be combined with any active FTC approach. The work considers the case of over-actuated systems where a new idea is proposed to evaluate the severity of faults occurred. In addition, the trajectory planning/re-planning approach is formulated as an optimisation problem based on the analysis of attainable efforts domain in fault-free and fault cases. The proposed approach is applied to two satellite systems in rendezvous mission. Journal: International Journal of Systems Science Pages: 690-701 Issue: 4 Volume: 46 Year: 2015 Month: 3 X-DOI: 10.1080/00207721.2013.797034 File-URL: http://hdl.handle.net/10.1080/00207721.2013.797034 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:4:p:690-701 Template-Type: ReDIF-Article 1.0 Author-Name: Junping Wang Author-X-Name-First: Junping Author-X-Name-Last: Wang Author-Name: Shengdong Wang Author-X-Name-First: Shengdong Author-X-Name-Last: Wang Author-Name: Jie Min Author-X-Name-First: Jie Author-X-Name-Last: Min Title: Coordinating two-period ordering and advertising policies in a dynamic market with stochastic demand Abstract: In this paper, we study the optimal two-stage advertising and ordering policies and the channel coordination issues in a supply chain composed of one manufacturer and one retailer. The manufacturer sells a short-life-cycle product through the retailer facing stochastic demand in dynamic markets characterised by price declines and product obsolescence. Following a two-period newsvendor framework, we develop two members’ optimal ordering and advertising models under both the centralised and decentralised settings, and present the closed-form solutions to the developed models as well. Moreover, we design a two-period revenue-sharing contract, and develop sufficient conditions such that the channel coordination can be achieved and a win–win outcome can be guaranteed. Our analysis suggests that the centralised decision creates an incentive for the retailer to increase the advertising investments in two periods and put the purchase forward, but the decentralised decision mechanism forces the retailer to decrease the advertising investments in two periods and postpone/reduce its purchase in the first period. This phenomenon becomes more evident when demand variability is high. Journal: International Journal of Systems Science Pages: 702-719 Issue: 4 Volume: 46 Year: 2015 Month: 3 X-DOI: 10.1080/00207721.2013.797035 File-URL: http://hdl.handle.net/10.1080/00207721.2013.797035 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:4:p:702-719 Template-Type: ReDIF-Article 1.0 Author-Name: Zi-Jiang Yang Author-X-Name-First: Zi-Jiang Author-X-Name-Last: Yang Author-Name: Yoshiyuki Shibuya Author-X-Name-First: Yoshiyuki Author-X-Name-Last: Shibuya Author-Name: Pan Qin Author-X-Name-First: Pan Author-X-Name-Last: Qin Title: Distributed robust control for synchronised tracking of networked Euler–Lagrange systems Abstract: In this paper, we propose a distributed robust control method for synchronised tracking of networked Euler–Lagrange systems, where the time-varying reference trajectory is sent to only a subset of the agents. It is assumed that the agents can exchange information with their local neighbours on a bidirectionally connected communication graph. In the local controller equipped in each generalised coordinate of the agents, a disturbance observer is introduced to compensate for the low-passed-coupled uncertainties, and a sliding mode control term is employed to handle the uncertainties that the disturbance observer cannot compensate for sufficiently. By some damping terms, the boundedness of the signals of the overall networked nonlinear systems is first ensured. Then we show how the disturbance observer and sliding mode control term play in a cooperative way in each local generalised coordinate to achieve an excellent synchronised tracking performance. Simulation results are provided to support the theoretical results. Journal: International Journal of Systems Science Pages: 720-732 Issue: 4 Volume: 46 Year: 2015 Month: 3 X-DOI: 10.1080/00207721.2013.797036 File-URL: http://hdl.handle.net/10.1080/00207721.2013.797036 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:4:p:720-732 Template-Type: ReDIF-Article 1.0 Author-Name: Chun-Yu Lin Author-X-Name-First: Chun-Yu Author-X-Name-Last: Lin Author-Name: Amy H.I. Lee Author-X-Name-First: Amy H.I. Author-X-Name-Last: Lee Author-Name: He-Yau Kang Author-X-Name-First: He-Yau Author-X-Name-Last: Kang Title: An integrated new product development framework – an application on green and low-carbon products Abstract: Companies need to be innovative to survive in today's competitive market; thus, new product development (NPD) has become very important. This research constructs an integrated NPD framework for developing new products. In stage one, customer attributes (CAs) and engineering characteristics (ECs) for developing products are collected, and fuzzy interpretive structural modelling (FISM) is applied to understand the relationships among these critical factors. Based on quality function deployment (QFD), a house of quality is then built, and fuzzy analytic network process (FANP) is adopted to calculate the relative importance of ECs. In stage two, fuzzy failure mode and effects analysis (FFMEA) is applied to understand the potential failures of the ECs and to determine the importance of ECs with respect to risk control. In stage three, a goal programming (GP) model is constructed to consider the outcome from the FANP-QFD, FFMEA and other objectives, in order to select the most important ECs. Due to pollution and global warming, environmental protection has become an important topic. With both governments and consumers developing environmental consciousness, successful green and low-carbon NPD provides an important competitive advantage, enabling the survival or renewal of firms. The proposed framework is implemented in a panel manufacturing firm for designing a green and low-carbon product. Journal: International Journal of Systems Science Pages: 733-753 Issue: 4 Volume: 46 Year: 2015 Month: 3 X-DOI: 10.1080/00207721.2013.798447 File-URL: http://hdl.handle.net/10.1080/00207721.2013.798447 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:4:p:733-753 Template-Type: ReDIF-Article 1.0 Author-Name: Dharmendra Yadav Author-X-Name-First: Dharmendra Author-X-Name-Last: Yadav Author-Name: S.R. Singh Author-X-Name-First: S.R. Author-X-Name-Last: Singh Author-Name: Rachna Kumari Author-X-Name-First: Rachna Author-X-Name-Last: Kumari Title: Retailer's optimal policy under inflation in fuzzy environment with trade credit Abstract: Trade credit plays an important role in financing many industries. In the classical inventory model it is assumed that the buyer must pay for the items as soon as the items are received. In this problem, it is considered that the retailer can pay the supplier either at the end of the credit period or later pay interest on the unpaid amount for the overdue period. Here, the retailer's inventory model for the optimal cycle time and payment time for a retailer is developed. The effects of the inflation rate, deterioration rate and delay in payment have been discussed. The whole study is performed in a fuzzy environment by taking the opportunity cost, interest earned and interest paid rate as a triangular fuzzy number. Fuzzy profit functions, which involve fuzzy arithmetic operation, are defined using the function principle. We use the signed distance method to defuzzify the fuzzy profit function. Moreover, numerical and sensitivity analysis is performed to validate the proposed model. Journal: International Journal of Systems Science Pages: 754-762 Issue: 4 Volume: 46 Year: 2015 Month: 3 X-DOI: 10.1080/00207721.2013.801094 File-URL: http://hdl.handle.net/10.1080/00207721.2013.801094 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:4:p:754-762 Template-Type: ReDIF-Article 1.0 Author-Name: Jian Wu Author-X-Name-First: Jian Author-X-Name-Last: Wu Author-Name: Weisheng Chen Author-X-Name-First: Weisheng Author-X-Name-Last: Chen Author-Name: Qiguang Miao Author-X-Name-First: Qiguang Author-X-Name-Last: Miao Title: Asymptotic stabilisation for a class of feedforward input-delay systems with ratios of odd integers Abstract: This article addresses the stabilisation problem by state-feedback for a class of feedforward input-delay nonlinear systems with ratios of odd integer powers. The designed controller achieves the global asymptotic stability. Based on the appropriate state transformation of time-delay systems and the Lyapunov method, the problem of controller design can be converted into the problem of finding a parameter which can be obtained by appraising the nonlinear terms of the systems. Finally, three simulation examples are given to illustrate the effectiveness of the control algorithm proposed in this article. Journal: International Journal of Systems Science Pages: 1983-1993 Issue: 11 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.683829 File-URL: http://hdl.handle.net/10.1080/00207721.2012.683829 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:11:p:1983-1993 Template-Type: ReDIF-Article 1.0 Author-Name: Yanhui Tong Author-X-Name-First: Yanhui Author-X-Name-Last: Tong Author-Name: Lixian Zhang Author-X-Name-First: Lixian Author-X-Name-Last: Zhang Author-Name: Peng Shi Author-X-Name-First: Peng Author-X-Name-Last: Shi Author-Name: Changhong Wang Author-X-Name-First: Changhong Author-X-Name-Last: Wang Title: A common linear copositive Lyapunov function for switched positive linear systems with commutable subsystems Abstract: This article is concerned with the existence problem of a common linear copositive Lyapunov function (CLCLF) for switched positive linear systems with stable and pairwise commutable subsystems. Three families of such systems composed of only continuous-time subsystems, only discrete-time subsystems and mixed continuous- and discrete-time subsystems are considered, respectively. It is demonstrated that a CLCLF can always be constructed for the underlying system whenever its subsystems are continuous-time, discrete-time or the mixed type. The case when the number of subsystems is two is first considered, then the obtained result is extended to the general case. Three numerical examples are given to verify the validity of the developed results. Journal: International Journal of Systems Science Pages: 1994-2003 Issue: 11 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.683830 File-URL: http://hdl.handle.net/10.1080/00207721.2012.683830 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:11:p:1994-2003 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaoli Wang Author-X-Name-First: Xiaoli Author-X-Name-Last: Wang Title: Distributed formation output regulation of switching heterogeneous multi-agent systems Abstract: In this article, the distributed formation output regulation problem of linear heterogeneous multi-agent systems with uncertainty under switching topology is considered. It is a generalised framework for multi-agent coordination problems, which contains or concerns a variety of important multi-agent problems in a quite unified way. Its background includes active leader following formation for the agents to maintain desired relative distances and orientations to the leader with a predefined trajectory, and multi-agent formation with environmental inputs. With the help of canonical internal model we design a distributed dynamic output feedback to handle the distributed formation output regulation problem. Journal: International Journal of Systems Science Pages: 2004-2014 Issue: 11 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.683831 File-URL: http://hdl.handle.net/10.1080/00207721.2012.683831 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:11:p:2004-2014 Template-Type: ReDIF-Article 1.0 Author-Name: Jinyong Yu Author-X-Name-First: Jinyong Author-X-Name-Last: Yu Author-Name: Ming Liu Author-X-Name-First: Ming Author-X-Name-Last: Liu Author-Name: Wei Yang Author-X-Name-First: Wei Author-X-Name-Last: Yang Author-Name: Ping Shi Author-X-Name-First: Ping Author-X-Name-Last: Shi Author-Name: Shuya Tong Author-X-Name-First: Shuya Author-X-Name-Last: Tong Title: Robust fault detection for Markovian jump systems with unreliable communication links Abstract: This article addresses the problem of robust fault detection for Markovian jump linear systems with unreliable communication links. In the network communication channel, the effects of signal quantisation and measurement missing, which appears typically in a network environment, are taken into consideration simultaneously. A stochastic variable satisfying the Bernoulli random binary distribution is utilised to model the phenomenon of the measurements missing. The aim is to design a fault detection filter such that, for all unknown input and incomplete measurements, the error between the residual and weighted faults is made as small as possible. A sufficient condition for the existence of the desired fault detection filter is established in terms of a set of linear matrix inequalities. A simulation example is provided to illustrate the effectiveness and applicability of the proposed techniques. Journal: International Journal of Systems Science Pages: 2015-2026 Issue: 11 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.683832 File-URL: http://hdl.handle.net/10.1080/00207721.2012.683832 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:11:p:2015-2026 Template-Type: ReDIF-Article 1.0 Author-Name: Shun Jiang Author-X-Name-First: Shun Author-X-Name-Last: Jiang Author-Name: Huajing Fang Author-X-Name-First: Huajing Author-X-Name-Last: Fang Title: Robust fault detection for networked control systems with nonlinear disturbances and imperfect measurements Abstract: In this article, the robust fault detection (FD) problem is investigated for networked control systems with nonlinear disturbances and imperfect measurements. Under the consideration of packet-dropout compensation, a new measurement model is proposed to take the time-varying delay, random packet dropout and quantisation effect into account simultaneously. After properly augmenting the states of the original system and the FD filter, the robust FD problem is formulated as an auxiliary H∞ filtering problem for a stochastic parameter system with time-varying delays and uncertainties. A sufficient condition for the existence of the robust FD filter is derived in terms of linear matrix inequalities, which depends on both the network status and the quantisation density. A numerical example is provided to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2027-2038 Issue: 11 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.683833 File-URL: http://hdl.handle.net/10.1080/00207721.2012.683833 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:11:p:2027-2038 Template-Type: ReDIF-Article 1.0 Author-Name: Alexander Brownlee Author-X-Name-First: Alexander Author-X-Name-Last: Brownlee Author-Name: Olivier Regnier-Coudert Author-X-Name-First: Olivier Author-X-Name-Last: Regnier-Coudert Author-Name: John McCall Author-X-Name-First: John Author-X-Name-Last: McCall Author-Name: Stewart Massie Author-X-Name-First: Stewart Author-X-Name-Last: Massie Author-Name: Stefan Stulajter Author-X-Name-First: Stefan Author-X-Name-Last: Stulajter Title: An application of a GA with Markov network surrogate to feature selection Abstract: Surrogate models of fitness have been presented as a way of reducing the number of fitness evaluations required by evolutionary algorithms. This is of particular interest with expensive fitness functions where the time taken for building the model is outweighed by the savings of using fewer function evaluations. In this article, we show how a Markov network model can be used as a surrogate fitness function for a genetic algorithm in a new algorithm called Markov Fitness Model Genetic Algorithm (MFM-GA). We thoroughly investigate its application to a fitness function for feature selection in Case-Based Reasoning (CBR), using a range of standard benchmarks from the CBR community. This fitness function requires considerable computation time to evaluate and we show that using the surrogate offers a significant decrease in total run-time compared to a GA using the true fitness function. This comes at the cost of a reduction in the global best fitness found. We demonstrate that the quality of the solutions obtained by MFM-GA improves significantly with model rebuilding. Comparisons with a classic GA, a GA using fitness inheritance and a selection of filter selection methods for CBR shows that MFM-GA provides a good trade-off between fitness quality and run-time. Journal: International Journal of Systems Science Pages: 2039-2056 Issue: 11 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.684449 File-URL: http://hdl.handle.net/10.1080/00207721.2012.684449 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:11:p:2039-2056 Template-Type: ReDIF-Article 1.0 Author-Name: Guangfu Tai Author-X-Name-First: Guangfu Author-X-Name-Last: Tai Author-Name: Peter Williams Author-X-Name-First: Peter Author-X-Name-Last: Williams Title: Quantitative analysis of investment allocation over various resources of health care systems by using views of product lines Abstract: Hospitals can be viewed as service enterprises, of which the primary function is to provide specific sets of diagnostic and therapeutic medical services to individual patients. Each patient has certain diagnosis and therapeutic attributes in common with some other patients. Thus, patients with similar medical attributes could be ‘processed’ in one ‘product line’ of medical services, and individual treatments for patients within one ‘product line’ can be regarded as incurring identical consumption of health care resources. This article presents a theoretical framing for resource planning and investment allocation of various resources from a macro perspective of costs that demonstrates the need to plan capacity at the disaggregated resource level. The result of a balanced line (‘optimal’) is compared with an alternative scheme of ‘the same ratio composing of resources’ under the same monetary constraints. Thus, it is demonstrated that planning at the disaggregated level affords much better use of resources than achieved in common practice of budget control by simple percentage increase/decrease in distributing a financial vote. Journal: International Journal of Systems Science Pages: 2057-2067 Issue: 11 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.684898 File-URL: http://hdl.handle.net/10.1080/00207721.2012.684898 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:11:p:2057-2067 Template-Type: ReDIF-Article 1.0 Author-Name: Xiongbo Wan Author-X-Name-First: Xiongbo Author-X-Name-Last: Wan Author-Name: Huajing Fang Author-X-Name-First: Huajing Author-X-Name-Last: Fang Title: Fault detection for discrete-time networked nonlinear systems with incomplete measurements Abstract: This article addresses the problem of fault detection (FD) for discrete-time networked systems with global Lipschitz nonlinearities and incomplete measurements, including time delays, packet dropouts and signal quantisation. By utilising a discrete-time homogeneous Markov chain, an improved model which considers packet dropout compensation has been proposed to describe the above network-induced phenomena. We aim to design a mode-dependent fault detection filter (FDF) such that the FD system is asymptotically mean-square stable and satisfies a prescribed attenuation level. The addressed FD problem is then converted into an auxiliary H∞ filtering problem of Markov jump system with time-varying delay. A sufficient condition for the existence of the FDF is derived in terms of certain linear matrix inequalities (LMIs). When these LMIs are feasible, the explicit expression of the desired FDF can also be characterised. A numerical example is exploited to show the effectiveness of the results obtained. Journal: International Journal of Systems Science Pages: 2068-2081 Issue: 11 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.684899 File-URL: http://hdl.handle.net/10.1080/00207721.2012.684899 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:11:p:2068-2081 Template-Type: ReDIF-Article 1.0 Author-Name: Ai-Guo Wu Author-X-Name-First: Ai-Guo Author-X-Name-Last: Wu Author-Name: Lin Tong Author-X-Name-First: Lin Author-X-Name-Last: Tong Author-Name: Guang-Ren Duan Author-X-Name-First: Guang-Ren Author-X-Name-Last: Duan Title: Finite iterative algorithm for solving coupled Lyapunov equations appearing in continuous-time Markov jump linear systems Abstract: An iterative algorithm for solving coupled algebraic Lyapunov equations appearing in continuous-time linear systems with Markovian transitions is established. The algorithm is computationally efficient since it can obtain the solution within finite steps in the absence of round-off errors. Journal: International Journal of Systems Science Pages: 2082-2093 Issue: 11 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.684900 File-URL: http://hdl.handle.net/10.1080/00207721.2012.684900 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:11:p:2082-2093 Template-Type: ReDIF-Article 1.0 Author-Name: Mohsen Ekramian Author-X-Name-First: Mohsen Author-X-Name-Last: Ekramian Author-Name: Farid Sheikholeslam Author-X-Name-First: Farid Author-X-Name-Last: Sheikholeslam Author-Name: Saeed Hosseinnia Author-X-Name-First: Saeed Author-X-Name-Last: Hosseinnia Title: Dynamic gain observer design for Lipschitz nonlinear systems subjected to noise Abstract: The problem of designing an observer for nonlinear Lipschitz systems affected by system and sensor noises is addressed. Related to the system nonlinearity, the stability of observer dynamic with static and dynamic gain is considered. The advantage of using dynamic gain to deal with large Lipschitz nonlinearity is discussed and it is proved that no dynamic gain can stabilise the observer for a larger Lipschitz constant as compared with the static gain. However, a nonlinear observer with dynamic gain has some additional degrees of freedom which can be utilised to attenuate noise effect on the observer behaviour. Using mixed and criteria, this article introduces a method to obtain a dynamic gain which can deal with system nonlinearity and noise simultaneously. The effectiveness of the proposed method is finally demonstrated by some simulation results. Journal: International Journal of Systems Science Pages: 2094-2103 Issue: 11 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.684901 File-URL: http://hdl.handle.net/10.1080/00207721.2012.684901 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:11:p:2094-2103 Template-Type: ReDIF-Article 1.0 Author-Name: Dan Zhang Author-X-Name-First: Dan Author-X-Name-Last: Zhang Author-Name: Li Yu Author-X-Name-First: Li Author-X-Name-Last: Yu Author-Name: Hongbo Song Author-X-Name-First: Hongbo Author-X-Name-Last: Song Author-Name: Qing-Guo Wang Author-X-Name-First: Qing-Guo Author-X-Name-Last: Wang Title: Distributed filtering for sensor networks with switching topology Abstract: In this article, the distributed H∞ filtering problem is investigated for a class of sensor networks under topology switching. The main purpose is to design the distributed H∞ filter that allows one to regulate the sensor's working modes. Firstly, a switched system model is proposed to reflect the working mode change of the sensors. Then, a stochastic sequence is adopted to model the packet dropout phenomenon occurring in the channels from the plant to the networked sensors. By utilising the Lyapunov functional method and stochastic analysis, some sufficient conditions are established to ensure that the filtering error system is mean-square exponentially stable with a prescribed H∞ performance level. Furthermore, the filter parameters are determined by solving a set of linear matrix inequalities (LMIs). Our results relates the decay rate of the filtering error system to the switching frequency of the topology directly and shows the existence of such a distributed filter when the topology is not varying very frequently, which is helpful for the sensor state regulation. Finally, the effectiveness of the proposed design method is demonstrated by two numerical examples. Journal: International Journal of Systems Science Pages: 2104-2118 Issue: 11 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.684903 File-URL: http://hdl.handle.net/10.1080/00207721.2012.684903 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:11:p:2104-2118 Template-Type: ReDIF-Article 1.0 Author-Name: Yun-Bo Zhao Author-X-Name-First: Yun-Bo Author-X-Name-Last: Zhao Author-Name: Jongrae Kim Author-X-Name-First: Jongrae Author-X-Name-Last: Kim Author-Name: Xi-Ming Sun Author-X-Name-First: Xi-Ming Author-X-Name-Last: Sun Author-Name: Guo-Ping Liu Author-X-Name-First: Guo-Ping Author-X-Name-Last: Liu Title: On the delay effects of different channels in Internet-based networked control systems Abstract: The sensor-to-controller and the controller-to-actuator delays in networked control systems (NCSs) are investigated for the first time with respect to their different effects on the system performance. This study starts with identifying the delay-independent and delay-dependent control laws in NCSs, and confirms that only two delay-dependent control laws can cause different delay effects in different channels. The conditions under which the different delays in different channels can cause different effects are then given for both delay-dependent control laws. The results are verified by numerical examples. Potentially, these results can be regarded as important design principles in the practical implementation of NCSs. Journal: International Journal of Systems Science Pages: 2119-2129 Issue: 11 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.684904 File-URL: http://hdl.handle.net/10.1080/00207721.2012.684904 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:11:p:2119-2129 Template-Type: ReDIF-Article 1.0 Author-Name: Xudong Zhao Author-X-Name-First: Xudong Author-X-Name-Last: Zhao Author-Name: Hao Liu Author-X-Name-First: Hao Author-X-Name-Last: Liu Author-Name: Zhenhuan Wang Author-X-Name-First: Zhenhuan Author-X-Name-Last: Wang Title: Weighted performance analysis of switched linear systems with mode-dependent average dwell time Abstract: This article is concerned with the disturbance attenuation properties of a class of switched linear systems by using a mode-dependent average dwell time (MDADT) approach. The proposed switching law is less strict than the average dwell time (ADT) switching in that each mode in the underlying system has its own ADT. By using the MDADT approach, a sufficient condition is obtained to guarantee the exponential stability with a weighted H∞ performance for the underlying systems. A numerical example is given to show the validity and potential of the developed results on improving the disturbance attenuation performance. Journal: International Journal of Systems Science Pages: 2130-2139 Issue: 11 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.684905 File-URL: http://hdl.handle.net/10.1080/00207721.2012.684905 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:11:p:2130-2139 Template-Type: ReDIF-Article 1.0 Author-Name: Guobao Zhang Author-X-Name-First: Guobao Author-X-Name-Last: Zhang Author-Name: Ting Wang Author-X-Name-First: Ting Author-X-Name-Last: Wang Author-Name: Tao Li Author-X-Name-First: Tao Author-X-Name-Last: Li Author-Name: Shumin Fei Author-X-Name-First: Shumin Author-X-Name-Last: Fei Title: Delay-derivative-dependent stability criterion for neural networks with probabilistic time-varying delay Abstract: In this article, based on Lyapunov–Krasovskii functional approach and improved delay-partitioning idea, a new sufficient condition is derived to guarantee a class of delayed neural networks to be asymptotically stable in the mean-square sense, in which the probabilistic time-varying delay is addressed. Together with general convex combination method, the criterion is presented via LMIs and its solvability heavily depends on the sizes of both time delay range and its derivative, which has wider application fields than those present ones. It can be shown by the numerical examples that our method reduces the conservatism much more effectively than earlier reported ones. Especially, the conservatism can be further decreased by thinning the delay intervals. Journal: International Journal of Systems Science Pages: 2140-2151 Issue: 11 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.685198 File-URL: http://hdl.handle.net/10.1080/00207721.2012.685198 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:11:p:2140-2151 Template-Type: ReDIF-Article 1.0 Author-Name: Jonas Yu Author-X-Name-First: Jonas Author-X-Name-Last: Yu Author-Name: H.-M. Wee Author-X-Name-First: H.-M. Author-X-Name-Last: Wee Author-Name: G.B. Su Author-X-Name-First: G.B. Author-X-Name-Last: Su Title: Revisiting revenue management for remanufactured products Abstract: The purpose of revenue management for remanufactured products is to maximise the expected revenue for remanufactured products. Most researchers in revenue management focus on analysing the sensitivity of the expected revenue to price, availability and disposal cost. In this note, we apply the Karush–Kuhn–Tucker conditions with maximum price constraints, and demonstrate that the optimal prices for the non-linear problem fall within the feasible region when constraints are imposed. A numerical example is given to illustrate the proposed study. Journal: International Journal of Systems Science Pages: 2152-2157 Issue: 11 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.685199 File-URL: http://hdl.handle.net/10.1080/00207721.2012.685199 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:11:p:2152-2157 Template-Type: ReDIF-Article 1.0 Author-Name: Youmei Zhang Author-X-Name-First: Youmei Author-X-Name-Last: Zhang Author-Name: Qingling Zhang Author-X-Name-First: Qingling Author-X-Name-Last: Zhang Author-Name: Tamaki Tanaka Author-X-Name-First: Tamaki Author-X-Name-Last: Tanaka Author-Name: Min Cai Author-X-Name-First: Min Author-X-Name-Last: Cai Title: Admissibility for positive continuous-time descriptor systems Abstract: Positive descriptor systems are a new research branch in descriptor systems. This article is devoted to the study of the admissibility property for positive continuous-time descriptor systems. Based on Lyapunov inequality existed for stability of positive descriptor systems, we provide a necessary and sufficient condition to guarantee the admissibility via linear matrix inequalities (LMIs). Furthermore, a necessary and sufficient condition to guarantee the admissibility is established by means of generalised Lyapunov equation if c-monomial decomposition is applied to positive descriptor systems. Finally, examples are given to illustrate the validity of the results obtained. Journal: International Journal of Systems Science Pages: 2158-2165 Issue: 11 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.685200 File-URL: http://hdl.handle.net/10.1080/00207721.2012.685200 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:11:p:2158-2165 Template-Type: ReDIF-Article 1.0 Author-Name: Gitae Kim Author-X-Name-First: Gitae Author-X-Name-Last: Kim Author-Name: Chih-Hang Wu Author-X-Name-First: Chih-Hang Author-X-Name-Last: Wu Title: Scenario aggregation for supply chain quantity-flexibility contract Abstract: In this research, we apply a scenario aggregation approach to solving the supply chain contract model formulated by two-stage stochastic programming problem. The supply chain contract can achieve the coordination between the buyer and the supplier. We formulate the stochastic programming model for a quantity-flexibility contract. The scenario aggregation method called the progressive hedging method is used to solve this problem. Experimental results show the convergence behaviour of the algorithm and the sensitivity of parameters. Journal: International Journal of Systems Science Pages: 2166-2182 Issue: 11 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.702237 File-URL: http://hdl.handle.net/10.1080/00207721.2012.702237 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:11:p:2166-2182 Template-Type: ReDIF-Article 1.0 Author-Name: Yilun Shang Author-X-Name-First: Yilun Author-X-Name-Last: Shang Title: Group consensus of multi-agent systems in directed networks with noises and time delays Abstract: In this paper, group consensus problems in fixed directed networks of dynamic agents are investigated. Group consensus means that the agents in each group share a consistent value while there is no agreement between any two groups. Based on algebraic graph theory, sufficient conditions guaranteeing group consensus under the proposed control protocol in the presence of random noises and communication delays are derived. The analysis uses a stability result of Mao for stochastic differential delay equations, which ensures the consensus can be achieved almost surely and exponentially fast. Numerical examples are provided to demonstrate the availability of the obtained results as well as the effect of time delay/noise intensity. Journal: International Journal of Systems Science Pages: 2481-2492 Issue: 14 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2013.862582 File-URL: http://hdl.handle.net/10.1080/00207721.2013.862582 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:14:p:2481-2492 Template-Type: ReDIF-Article 1.0 Author-Name: Ning Zhou Author-X-Name-First: Ning Author-X-Name-Last: Zhou Author-Name: Yuanqing Xia Author-X-Name-First: Yuanqing Author-X-Name-Last: Xia Author-Name: Kunfeng Lu Author-X-Name-First: Kunfeng Author-X-Name-Last: Lu Author-Name: Yong Li Author-X-Name-First: Yong Author-X-Name-Last: Li Title: Decentralised finite-time attitude synchronisation and tracking control for rigid spacecraft Abstract: The problem of finite-time attitude synchronisation and tracking for a group of rigid spacecraft nonlinear dynamics is investigated in this paper. First of all, in the presence of environmental disturbance, a novel decentralised control law is proposed to ensure that the spacecraft attitude error dynamics can converge to the sliding surface in finite time; then the final practical finite-time stability of the attitude error dynamics can be guaranteed in small regions. Furthermore, a modified finite-time control law is proposed to address the control chattering. The control law can guarantee a group of spacecraft to attain desired time-varying attitude and angular velocity while maintaining attitude synchronisation with other spacecraft in the formation. Simulation examples are provided to illustrate the feasibility of the control algorithm presented in this paper. Journal: International Journal of Systems Science Pages: 2493-2509 Issue: 14 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2013.868949 File-URL: http://hdl.handle.net/10.1080/00207721.2013.868949 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:14:p:2493-2509 Template-Type: ReDIF-Article 1.0 Author-Name: Bo Zhang Author-X-Name-First: Bo Author-X-Name-Last: Zhang Author-Name: Jin Peng Author-X-Name-First: Jin Author-X-Name-Last: Peng Author-Name: Shengguo Li Author-X-Name-First: Shengguo Author-X-Name-Last: Li Title: Uncertain programming models for portfolio selection with uncertain returns Abstract: In an indeterminacy economic environment, experts’ knowledge about the returns of securities consists of much uncertainty instead of randomness. This paper discusses portfolio selection problem in uncertain environment in which security returns cannot be well reflected by historical data, but can be evaluated by the experts. In the paper, returns of securities are assumed to be given by uncertain variables. According to various decision criteria, the portfolio selection problem in uncertain environment is formulated as expected-variance-chance model and chance-expected-variance model by using the uncertainty programming. Within the framework of uncertainty theory, for the convenience of solving the models, some crisp equivalents are discussed under different conditions. In addition, a hybrid intelligent algorithm is designed in the paper to provide a general method for solving the new models in general cases. At last, two numerical examples are provided to show the performance and applications of the models and algorithm. Journal: International Journal of Systems Science Pages: 2510-2519 Issue: 14 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2013.871366 File-URL: http://hdl.handle.net/10.1080/00207721.2013.871366 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:14:p:2510-2519 Template-Type: ReDIF-Article 1.0 Author-Name: Hongjiu Yang Author-X-Name-First: Hongjiu Author-X-Name-Last: Yang Author-Name: Xiu You Author-X-Name-First: Xiu Author-X-Name-Last: You Author-Name: Zhixin Liu Author-X-Name-First: Zhixin Author-X-Name-Last: Liu Author-Name: Fuchun Sun Author-X-Name-First: Fuchun Author-X-Name-Last: Sun Title: Extended-state-observer-based adaptive control for synchronisation of multi-agent systems with unknown nonlinearities Abstract: This paper studies the problem of synchronisation to a desired trajectory for non-linear multi-agent systems. By introducing extended state observer approach, decentralised adaptive controllers are designed for distributed systems which have non-identical unknown non-linear dynamics. The non-identical unknown non-linear dynamics allows for a tracked command dynamics which is also non-linear and unknown. State variables of agents can be obtained only in the case where leader agent and the network communication topology for multi-agent systems is strongly connected digraph network structures. A Lyapunov-function-based approach is given to show that the tracking error is ultimately bounded. Some simulation results are given to demonstrate the effectiveness of the developed techniques in this paper. Journal: International Journal of Systems Science Pages: 2520-2530 Issue: 14 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2013.871367 File-URL: http://hdl.handle.net/10.1080/00207721.2013.871367 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:14:p:2520-2530 Template-Type: ReDIF-Article 1.0 Author-Name: R. Krishnasamy Author-X-Name-First: R. Author-X-Name-Last: Krishnasamy Author-Name: P. Balasubramaniam Author-X-Name-First: P. Author-X-Name-Last: Balasubramaniam Title: Stabilisation analysis for switched neutral systems based on sampled-data control Abstract: In this paper, the problem of stabilisation analysis for switched neutral systems based on sampled-data control and average dwell time approach is investigated. Delay-dependent stabilisation results are derived in terms of linear matrix inequalities by constructing piecewise Lyapunov–Krasovskii functional based on the Wirtinger's inequality. Also, the controller gain matrix is designed by applying an input-delay approach. Further convex combination technique and some integral inequalities are used to derive less conservative results. The effectiveness of the derived results is validated through numerical examples. Journal: International Journal of Systems Science Pages: 2531-2546 Issue: 14 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2013.871368 File-URL: http://hdl.handle.net/10.1080/00207721.2013.871368 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:14:p:2531-2546 Template-Type: ReDIF-Article 1.0 Author-Name: Caiyun Wu Author-X-Name-First: Caiyun Author-X-Name-Last: Wu Author-Name: Jun Zhao Author-X-Name-First: Jun Author-X-Name-Last: Zhao Title: Adaptive tracking control for switched systems based on an average dwell-time method Abstract: This paper investigates the H∞ state tracking model reference adaptive control (MRAC) problem for a class of switched systems using an average dwell-time method. First, a stability criterion is established for a switched reference model. Then, an adaptive controller is designed and the state tracking control problem is converted into the stability analysis. The global practical stability of the error switched system can be guaranteed under a class of switching signals characterised by an average dwell time. Consequently, sufficient conditions for the solvability of the H∞ state tracking MRAC problem are derived. An example of highly manoeuvrable aircraft technology vehicle is given to demonstrate the feasibility and effectiveness of the proposed design method. Journal: International Journal of Systems Science Pages: 2547-2559 Issue: 14 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2013.871371 File-URL: http://hdl.handle.net/10.1080/00207721.2013.871371 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:14:p:2547-2559 Template-Type: ReDIF-Article 1.0 Author-Name: Wei Zhang Author-X-Name-First: Wei Author-X-Name-Last: Zhang Author-Name: Linlin Ou Author-X-Name-First: Linlin Author-X-Name-Last: Ou Author-Name: Xing He Author-X-Name-First: Xing Author-X-Name-Last: He Author-Name: Weidong Zhang Author-X-Name-First: Weidong Author-X-Name-Last: Zhang Title: On the pole of non-square transfer function matrix Moore–Penrose pseudo-inverses Abstract: An essential step in many controller design approaches is computing the inverse of the plant. For a square plant, its inverse is stable if the plant is minimum phase (MP). Nevertheless, this conclusion does not hold for a non-square plant. In this paper, the pole feature of the Moore–Penrose pseudo-inverse of a non-square transfer function matrix is analysed. Instead of complicated advanced mathematical tools, only basic results of polynomial theory and the Binet–Cauchy theorem are used in the analysing procedure. The condition for testing the stability of the Moore–Penrose pseudo-inverse of an MP non-square transfer function matrix is given. This condition implies that the Moore–Penrose pseudo-inverse of a non-square transfer function matrix cannot be directly used as the optimal controller. Numerical examples are provided to illustrate the correctness of the condition. Journal: International Journal of Systems Science Pages: 2560-2571 Issue: 14 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2013.873835 File-URL: http://hdl.handle.net/10.1080/00207721.2013.873835 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:14:p:2560-2571 Template-Type: ReDIF-Article 1.0 Author-Name: Donato Di Paola Author-X-Name-First: Donato Author-X-Name-Last: Di Paola Author-Name: Antonio Petitti Author-X-Name-First: Antonio Author-X-Name-Last: Petitti Author-Name: Alessandro Rizzo Author-X-Name-First: Alessandro Author-X-Name-Last: Rizzo Title: Distributed Kalman filtering via node selection in heterogeneous sensor networks Abstract: In this paper, we propose a strategy for distributed Kalman filtering over sensor networks, based on node selection, rather than on sensor fusion. The presented approach is particularly suitable when sensors with limited sensing capability are considered. In this case, strategies based on sensor fusion may exhibit poor results, as several unreliable measurements may be included in the fusion process. On the other hand, our approach implements a distributed strategy able to select only the node with the most accurate estimate and to propagate it through the whole network in finite time. The algorithm is based on the definition of a metric of the estimate accuracy, and on the application of an agreement protocol based on max-consensus. We prove the convergence, in finite time, of all the local estimates to the most accurate one at each discrete iteration, as well as the equivalence with a centralised Kalman filter with multiple measurements, evolving according to a state-dependent switching dynamics. An application of the algorithm to the problem of distributed target tracking over a network of heterogeneous range-bearing sensors is shown. Simulation results and a comparison with two distributed Kalman filtering strategies based on sensor fusion confirm the suitability of the approach. Journal: International Journal of Systems Science Pages: 2572-2583 Issue: 14 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2013.873836 File-URL: http://hdl.handle.net/10.1080/00207721.2013.873836 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:14:p:2572-2583 Template-Type: ReDIF-Article 1.0 Author-Name: Huabin Chen Author-X-Name-First: Huabin Author-X-Name-Last: Chen Author-Name: Yang Zhao Author-X-Name-First: Yang Author-X-Name-Last: Zhao Title: Delay-dependent exponential stability for uncertain neutral stochastic neural networks with interval time-varying delay Abstract: This paper is mainly concerned with the problem for the robustly exponential stability in mean square moment of uncertain neutral stochastic neural networks with interval time-varying delay. With an appropriate augmented Lyapunov–Krasovskii functional (LKF) formulated, the convex combination method is utilised to estimate the derivative of the LKF. Some new delay-dependent exponential stability criteria for such systems are obtained in terms of linear matrix inequalities, which involve fewer matrix variables and have less conservatism. Finally, two illustrative numerical examples are given to show the effectiveness of our obtained results. Journal: International Journal of Systems Science Pages: 2584-2597 Issue: 14 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2013.874507 File-URL: http://hdl.handle.net/10.1080/00207721.2013.874507 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:14:p:2584-2597 Template-Type: ReDIF-Article 1.0 Author-Name: M.M. Khader Author-X-Name-First: M.M. Author-X-Name-Last: Khader Title: A new fractional Chebyshev FDM: an application for solving the fractional differential equations generated by optimisation problem Abstract: In this paper, we introduce a new numerical technique which we call fractional Chebyshev finite difference method. The algorithm is based on a combination of the useful properties of Chebyshev polynomial approximation and finite difference method. We implement this technique to solve numerically the non-linear programming problem which are governed by fractional differential equations (FDEs). The proposed technique is based on using matrix operator expressions which applies to the differential terms. The operational matrix method is derived in our approach in order to approximate the Caputo fractional derivatives. This operational matrix method can be regarded as a non-uniform finite difference scheme. The error bound for the fractional derivatives is introduced. The application of the method to the generated FDEs leads to algebraic systems which can be solved by an appropriate method. Two numerical examples are provided to confirm the accuracy and the effectiveness of the proposed method. A comparison with the fourth-order Runge–Kutta method is given. Journal: International Journal of Systems Science Pages: 2598-2606 Issue: 14 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2013.874508 File-URL: http://hdl.handle.net/10.1080/00207721.2013.874508 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:14:p:2598-2606 Template-Type: ReDIF-Article 1.0 Author-Name: Mohsen Maboodi Author-X-Name-First: Mohsen Author-X-Name-Last: Maboodi Author-Name: Eduardo F. Camacho Author-X-Name-First: Eduardo F. Author-X-Name-Last: Camacho Author-Name: Ali Khaki-Sedigh Author-X-Name-First: Ali Author-X-Name-Last: Khaki-Sedigh Title: Non-linear generalised minimum variance control state space design for a second-order Volterra series model Abstract: This paper presents a non-linear generalised minimum variance (NGMV) controller for a second-order Volterra series model with a general linear additive disturbance. The Volterra series models provide a natural extension of a linear convolution model with the nonlinearity considered in an additive term. The design procedure is entirely carried out in the state space framework, which facilitates the application of other analysis and design methods in this framework. First, the non-linear minimum variance (NMV) controller is introduced and then by changing the cost function, NGMV controller is defined as an extended version of the linear cases. The cost function is used in the simplest form and can be easily extended to the general case. Simulation results show the effectiveness of the proposed non-linear method. Journal: International Journal of Systems Science Pages: 2607-2616 Issue: 14 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2013.874509 File-URL: http://hdl.handle.net/10.1080/00207721.2013.874509 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:14:p:2607-2616 Template-Type: ReDIF-Article 1.0 Author-Name: Lan Zhou Author-X-Name-First: Lan Author-X-Name-Last: Zhou Author-Name: Jinhua She Author-X-Name-First: Jinhua Author-X-Name-Last: She Author-Name: Min Wu Author-X-Name-First: Min Author-X-Name-Last: Wu Title: A one-step method of designing an observer-based modified repetitive-control system Abstract: A method of designing a robust observer-based modified repetitive-control system for a class of strictly proper linear plants with periodic uncertainties has been developed. These plants have no direct path from the input to the output. First, the periodicity and continuity of repetitive control are exploited to construct a continuous-discrete two-dimensional (2D) model that allows the preferential adjustment of control and learning through regulation of the 2D feedback gains. Next, Lyapunov stability theory and the singular-value decomposition of the output matrix are used to establish two stability conditions. The conditions convert (a) the problem of designing the maximum cut-off angular frequency of the low-pass filter into a standard generalised eigenvalue optimisation problem, and (b) the problem of independently designing a state observer and a stabilising controller into a feasibility problem for linear matrix inequalities (LMIs). Two tuning parameters in one of the LMIs determine the selection of the 2D feedback gains. Then, the combination of two design conditions yields an iterative algorithm that simultaneously optimises the maximum cut-off angular frequency of the low-pass filter and the gains of the stabilising controller. It solves the trade-off problem between stability and tracking performance. Finally, a simulation example demonstrates the validity of the method. Journal: International Journal of Systems Science Pages: 2617-2627 Issue: 14 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2013.874510 File-URL: http://hdl.handle.net/10.1080/00207721.2013.874510 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:14:p:2617-2627 Template-Type: ReDIF-Article 1.0 Author-Name: R. Ghasemy Yaghin Author-X-Name-First: R. Author-X-Name-Last: Ghasemy Yaghin Author-Name: S.M.T. Fatemi Ghomi Author-X-Name-First: S.M.T. Author-X-Name-Last: Fatemi Ghomi Author-Name: S.A. Torabi Author-X-Name-First: S.A. Author-X-Name-Last: Torabi Title: A hybrid credibility-based fuzzy multiple objective optimisation to differential pricing and inventory policies with arbitrage consideration Abstract: In most markets, price differentiation mechanisms enable manufacturers to offer different prices for their products or services in different customer segments; however, the perfect price discrimination is usually impossible for manufacturers. The importance of accounting for uncertainty in such environments spurs an interest to develop appropriate decision-making tools to deal with uncertain and ill-defined parameters in joint pricing and lot-sizing problems. This paper proposes a hybrid bi-objective credibility-based fuzzy optimisation model including both quantitative and qualitative objectives to cope with these issues. Taking marketing and lot-sizing decisions into account simultaneously, the model aims to maximise the total profit of manufacturer and to improve service aspects of retailing simultaneously to set different prices with arbitrage consideration. After applying appropriate strategies to defuzzify the original model, the resulting non-linear multi-objective crisp model is then solved by a fuzzy goal programming method. An efficient stochastic search procedure using particle swarm optimisation is also proposed to solve the non-linear crisp model. Journal: International Journal of Systems Science Pages: 2628-2639 Issue: 14 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2013.875239 File-URL: http://hdl.handle.net/10.1080/00207721.2013.875239 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:14:p:2628-2639 Template-Type: ReDIF-Article 1.0 Author-Name: Le Liu Author-X-Name-First: Le Author-X-Name-Last: Liu Author-Name: Hong Zhou Author-X-Name-First: Hong Author-X-Name-Last: Zhou Title: Single-machine rescheduling with deterioration and learning effects against the maximum sequence disruption Abstract: In this paper, we study the issue of single-machine rescheduling with linear deteriorating jobs and position-based learning effects simultaneously in response to an unexpected arrival of new jobs. The scheduling efficiency is measured in terms of the makespan, while the cost of disruption is measured in terms of the maximum difference in processing orders of the original jobs before and after disruption. By introducing the effects of deterioration and learning, the job actual processing time is defined by an increasing function of its starting time, meanwhile a decreasing function of its position. Two types of problems are considered. For the first one, the makespan is minimised subject to a limit on the maximum sequence disruption; while in the second one, a linear combination of the makespan and the maximum sequence disruption is minimised. For each problem, the polynomial solvability is demonstrated, and an efficient algorithm is then developed. Finally, extensive computational experiments are conducted to show the efficiency and running behaviours of the proposed algorithms. Journal: International Journal of Systems Science Pages: 2640-2658 Issue: 14 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2013.876519 File-URL: http://hdl.handle.net/10.1080/00207721.2013.876519 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:14:p:2640-2658 Template-Type: ReDIF-Article 1.0 Author-Name: Yu-Cheng Chou Author-X-Name-First: Yu-Cheng Author-X-Name-Last: Chou Author-Name: Po Ting Lin Author-X-Name-First: Po Ting Author-X-Name-Last: Lin Title: An efficient and robust design optimisation of multi-state flow network for multiple commodities using generalised reliability evaluation algorithm and edge reduction method Abstract: The network of delivering commodities has been an important design problem in our daily lives and many transportation applications. The reliability of delivering commodities from a source node to a sink node in the network is maximised to find the optimal routing. However, the design problem is not simple due to randomly distributed attributes in each path, multiple commodities with variable path capacities and the allowable time constraints for delivery. This paper presents the design optimisation of the multi-state flow network (MSFN) for multiple commodities. We propose an efficient and robust approach to evaluate the system reliability in the MSFN with respect to randomly distributed path attributes and to find the optimal routing subject to the allowable time constraints. The delivery rates of the path segments are evaluated and the minimal-speed arcs are eliminated to reduce the complexity of the MSFN. Accordingly, the correct optimal routing is found and the worst-case reliability is evaluated. The reliability of the optimal routing is at least higher than worst-case measure. Three benchmark examples are utilised to demonstrate the proposed method. The comparisons between the original and the reduced networks show that the proposed method is very efficient. Journal: International Journal of Systems Science Pages: 2659-2672 Issue: 14 Volume: 46 Year: 2015 Month: 10 X-DOI: 10.1080/00207721.2013.879228 File-URL: http://hdl.handle.net/10.1080/00207721.2013.879228 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:14:p:2659-2672 Template-Type: ReDIF-Article 1.0 Author-Name: Shun-Hung Tsai Author-X-Name-First: Shun-Hung Author-X-Name-Last: Tsai Title: Delay-dependent robust stabilisation for a class of fuzzy bilinear systems with time-varying delays in state and control input Abstract: The stabilisation problem for a class of Takagi–Sugeno (TS) fuzzy bilinear systems (FBSs) with time-varying state and input delays is investigated in this article. A fuzzy controller is designed to stabilise TS FBSs with time-varying state and input delays via the parallel distributed compensation method. Based on a Lyapunov–Krasoviskii function, the delay-dependent stabilisation conditions are proposed in terms of a linear matrix inequality to guarantee the asymptotic stabilisation of time-delay FBSs with disturbance input. Two numerical examples with delays in the state and input are given to demonstrate that the proposed stability condition is less conservative than some existing results. Finally, the validity and applicability of the proposed control scheme are successfully demonstrated in the control of a Van de Vusse reactor with delay. Journal: International Journal of Systems Science Pages: 187-201 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.670303 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670303 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:187-201 Template-Type: ReDIF-Article 1.0 Author-Name: Yin-He Wang Author-X-Name-First: Yin-He Author-X-Name-Last: Wang Author-Name: Liang Luo Author-X-Name-First: Liang Author-X-Name-Last: Luo Author-Name: Yong-Qing Fan Author-X-Name-First: Yong-Qing Author-X-Name-Last: Fan Author-Name: Yun Zhang Author-X-Name-First: Yun Author-X-Name-Last: Zhang Author-Name: Xiao-Ping Liu Author-X-Name-First: Xiao-Ping Author-X-Name-Last: Liu Author-Name: Si-Ying Zhang Author-X-Name-First: Si-Ying Author-X-Name-Last: Zhang Title: Adaptive control design for a class of nonlinear systems based on fuzzy logic systems with scalers and saturators Abstract: Many practical engineering applications require various types of fuzzy logic systems (FLSs) to design adaptive controllers for nonlinear systems with uncertainties. In this article, we will consider a fundamental theoretical question: is it possible to find a unified adaptive control design method suited to various types of FLSs? In order to solve this problem, we will introduce scalers and saturators at the input and output terminals of FLSs to form the extended FLSs (EFLS). The scalers and saturators have adjustable parameters. By designing the updated laws of these parameters and the estimate values of the fuzzy approximate accuracies, stable adaptive fuzzy controllers can be realised for a class of nonlinear systems with unknown homogeneous drift functions and gains. The proposed design method is only dependent on the outputs of EFLS and the above updated laws, thus increasing its adaptability. The fuzzy control scheme introduced in this article is suitable for all fuzzy systems with or without fuzzy rules. Simulations will also be used to show the validity of the method proposed in this article. Journal: International Journal of Systems Science Pages: 202-214 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.704087 File-URL: http://hdl.handle.net/10.1080/00207721.2012.704087 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:202-214 Template-Type: ReDIF-Article 1.0 Author-Name: Yue Long Author-X-Name-First: Yue Author-X-Name-Last: Long Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Fault detection for a class of nonlinear stochastic systems with Markovian switching and mixed time-delays Abstract: This article is concerned with the fault detection (FD) problem for a class of nonlinear stochastic systems with Markovian switching and mixed time-delays. The stochastic system under consideration contains discrete and distributed mode-dependent delays, nonlinearities as well as Markovian switching. Considering a new sensor fault model, which can express the failures of the loss of effectiveness and the outage, a novel FD scheme is proposed such that it is valid for this class of sensor faults. In addition, delay-dependent conditions, which include some existing results, that capture the sensitivity performance and attenuation performance are derived. Then the FD filter gains are characterised in terms of the solutions to a convex optimisation problem. Finally, an aircraft application is given to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 215-231 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.704089 File-URL: http://hdl.handle.net/10.1080/00207721.2012.704089 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:215-231 Template-Type: ReDIF-Article 1.0 Author-Name: E. Anceaume Author-X-Name-First: E. Author-X-Name-Last: Anceaume Author-Name: F. Castella Author-X-Name-First: F. Author-X-Name-Last: Castella Author-Name: B. Sericola Author-X-Name-First: B. Author-X-Name-Last: Sericola Title: Analysis of a large number of Markov chains competing for transitions Abstract: We consider the behaviour of a stochastic system composed of several identically distributed, but non independent, discrete-time absorbing Markov chains competing at each instant for a transition. The competition consists in determining at each instant, using a given probability distribution, the only Markov chain allowed to make a transition. We analyse the first time at which one of the Markov chains reaches its absorbing state. When the number of Markov chains goes to infinity, we analyse the asymptotic behaviour of the system for an arbitrary probability mass function governing the competition. We give conditions that ensure the existence of the asymptotic distribution and we show how these results apply to cluster-based distributed storage when the competition is handled using a geometric distribution. Journal: International Journal of Systems Science Pages: 232-240 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.704090 File-URL: http://hdl.handle.net/10.1080/00207721.2012.704090 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:232-240 Template-Type: ReDIF-Article 1.0 Author-Name: Ligang Zhou Author-X-Name-First: Ligang Author-X-Name-Last: Zhou Author-Name: Kin Lai Author-X-Name-First: Kin Author-X-Name-Last: Lai Author-Name: Jerome Yen Author-X-Name-First: Jerome Author-X-Name-Last: Yen Title: Bankruptcy prediction using SVM models with a new approach to combine features selection and parameter optimisation Abstract: Due to the economic significance of bankruptcy prediction of companies for financial institutions, investors and governments, many quantitative methods have been used to develop effective prediction models. Support vector machine (SVM), a powerful classification method, has been used for this task; however, the performance of SVM is sensitive to model form, parameter setting and features selection. In this study, a new approach based on direct search and features ranking technology is proposed to optimise features selection and parameter setting for 1-norm and least-squares SVM models for bankruptcy prediction. This approach is also compared to the SVM models with parameter optimisation and features selection by the popular genetic algorithm technique. The experimental results on a data set with 2010 instances show that the proposed models are good alternatives for bankruptcy prediction. Journal: International Journal of Systems Science Pages: 241-253 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.720293 File-URL: http://hdl.handle.net/10.1080/00207721.2012.720293 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:241-253 Template-Type: ReDIF-Article 1.0 Author-Name: Javier Moreno-Valenzuela Author-X-Name-First: Javier Author-X-Name-Last: Moreno-Valenzuela Author-Name: Ricardo Campa Author-X-Name-First: Ricardo Author-X-Name-Last: Campa Author-Name: Víctor Santibáñez Author-X-Name-First: Víctor Author-X-Name-Last: Santibáñez Title: Velocity field control of a class of electrically-driven manipulators Abstract: This article addresses the control of robotic manipulators under the assumption that the desired motion in the operational space is encoded through a velocity field. In other words, a vectorial function assigns a velocity vector to each point in the robot workspace. Thus, the control objective is to design a control input such that the actual operational space velocity of the robot end-effector asymptotically tracks the desired velocity from the velocity field. This control formulation is known in the literature as velocity field control. A new velocity field controller together with a rigorous stability analysis is introduced in this article. The controller is developed for a class of electrically-driven manipulators. In this class of manipulators, the passivity property from the servo-amplifier voltage input to the joint velocity is not satisfied. However, global exponential stability of the state space origin of the closed-loop system is proven. Furthermore, the closed-loop system is proven to be and output strictly passive map from an auxiliary input to a filtered error signal. To confirm the theoretical conclusions, a detailed experimental study in a two degrees-of-freedom direct-drive manipulator is provided. Particularly, experiments consist of comparing the performance of a simple PI controller and a high-gain PI controller with respect to the new control scheme. Journal: International Journal of Systems Science Pages: 254-270 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.720294 File-URL: http://hdl.handle.net/10.1080/00207721.2012.720294 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:254-270 Template-Type: ReDIF-Article 1.0 Author-Name: Jianwei Xia Author-X-Name-First: Jianwei Author-X-Name-Last: Xia Author-Name: Changyin Sun Author-X-Name-First: Changyin Author-X-Name-Last: Sun Author-Name: Xiang Teng Author-X-Name-First: Xiang Author-X-Name-Last: Teng Author-Name: Hongbin Zhang Author-X-Name-First: Hongbin Author-X-Name-Last: Zhang Title: Delay-segment-dependent robust stability for uncertain discrete stochastic Markovian jumping systems with interval time delay Abstract: This article deals with the problem of robust stochastic stability for a class of uncertain discrete stochastic Markovian jumping systems with time-varying interval delay. By constructing a parameter-dependent Lyapunov–Krasovskii functional and checking its difference in two subintervals, respectively, some novel delay-segment-dependent stability criteria for the addressed system are derived. Two simulation examples are given to show effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 271-282 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.720295 File-URL: http://hdl.handle.net/10.1080/00207721.2012.720295 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:271-282 Template-Type: ReDIF-Article 1.0 Author-Name: A Fallah-Tafti Author-X-Name-First: A Author-X-Name-Last: Fallah-Tafti Author-Name: Rashed Sahraeian Author-X-Name-First: Rashed Author-X-Name-Last: Sahraeian Author-Name: Reza Tavakkoli-Moghaddam Author-X-Name-First: Reza Author-X-Name-Last: Tavakkoli-Moghaddam Author-Name: Masoud Moeinipour Author-X-Name-First: Masoud Author-X-Name-Last: Moeinipour Title: An interactive possibilistic programming approach for a multi-objective closed-loop supply chain network under uncertainty Abstract: In this article, we first propose a closed-loop supply chain network design that integrates network design decisions in both forward and reverse supply chain networks into a unified structure as well as incorporates the tactical decisions with strategic ones (e.g., facility location and supplier selection) at each period. To do so, various conflicting objectives and constraints are simultaneously taken into account in the presence of some uncertain parameters, such as cost coefficients and customer demands. Then, we propose a novel interactive possibilistic approach based on the well-known STEP method to solve the multi-objective mixed-integer linear programming model. To validate the presented model and solution method, a numerical test is accomplished through the application of the proposed possibilistic-STEM algorithm. The computational results demonstrate suitability of the presented model and solution method. Journal: International Journal of Systems Science Pages: 283-299 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.720296 File-URL: http://hdl.handle.net/10.1080/00207721.2012.720296 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:283-299 Template-Type: ReDIF-Article 1.0 Author-Name: Fernando Souza Author-X-Name-First: Fernando Author-X-Name-Last: Souza Author-Name: Reinaldo Palhares Author-X-Name-First: Reinaldo Author-X-Name-Last: Palhares Title: New delay-interval stability condition Abstract: The delay-dependent stability problem for systems with time-delay varying in an interval is addressed in this article. The new idea in this article is to connect two very efficient approaches: the discretised Lyapunov functional for systems with pointwise delay and the convex analysis for systems with time-varying delay. The proposed method is able to check the stability interval when the time-varying delay d(t) belongs to an interval [r, τ]. The case of unstable delayed systems for r = 0 is also treatable. The resulting criterion, expressed in terms of a convex optimisation problem, outperforms the existing ones in the literature, as illustrated by the numerical examples. Journal: International Journal of Systems Science Pages: 300-306 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.720297 File-URL: http://hdl.handle.net/10.1080/00207721.2012.720297 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:300-306 Template-Type: ReDIF-Article 1.0 Author-Name: Hasan Turan Author-X-Name-First: Hasan Author-X-Name-Last: Turan Author-Name: Nihat Kasap Author-X-Name-First: Nihat Author-X-Name-Last: Kasap Author-Name: Huseyin Savran Author-X-Name-First: Huseyin Author-X-Name-Last: Savran Title: Using heuristic algorithms for capacity leasing and task allocation issues in telecommunication networks under fuzzy quality of service constraints Abstract: Nowadays, every firm uses telecommunication networks in different amounts and ways in order to complete their daily operations. In this article, we investigate an optimisation problem that a firm faces when acquiring network capacity from a market in which there exist several network providers offering different pricing and quality of service (QoS) schemes. The QoS level guaranteed by network providers and the minimum quality level of service, which is needed for accomplishing the operations are denoted as fuzzy numbers in order to handle the non-deterministic nature of the telecommunication network environment. Interestingly, the mathematical formulation of the aforementioned problem leads to the special case of a well-known two-dimensional bin packing problem, which is famous for its computational complexity. We propose two different heuristic solution procedures that have the capability of solving the resulting nonlinear mixed integer programming model with fuzzy constraints. In conclusion, the efficiency of each algorithm is tested in several test instances to demonstrate the applicability of the methodology. Journal: International Journal of Systems Science Pages: 307-324 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.720298 File-URL: http://hdl.handle.net/10.1080/00207721.2012.720298 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:307-324 Template-Type: ReDIF-Article 1.0 Author-Name: Hongji Ma Author-X-Name-First: Hongji Author-X-Name-Last: Ma Author-Name: Yingmin Jia Author-X-Name-First: Yingmin Author-X-Name-Last: Jia Title: Input–output finite-time mean square stabilisation of stochastic systems with Markovian jump Abstract: The notion of input–output finite-time mean square (IO-FTMS) stability is introduced for Itô-type stochastic systems with Markovian jump parameters. Concerning a class of random input signals W, sufficient conditions are presented for the IO-FTMS stability and stabilisation of stochastic nonlinear Markov jump systems in terms of coupled Hamilton–Jacobi inequalities. When specialising to the linear case, these criteria are turned into coupled linear matrix inequalities. Moreover, the quadratic IO-FTMS stabilisation is addressed when polytopic uncertainty appears in the transition rate. Finally, a numerical example with simulations is exploited to illustrate the proposed techniques. Journal: International Journal of Systems Science Pages: 325-336 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.720299 File-URL: http://hdl.handle.net/10.1080/00207721.2012.720299 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:325-336 Template-Type: ReDIF-Article 1.0 Author-Name: Yifan Hu Author-X-Name-First: Yifan Author-X-Name-Last: Hu Author-Name: Yongsheng Ding Author-X-Name-First: Yongsheng Author-X-Name-Last: Ding Author-Name: Kuangrong Hao Author-X-Name-First: Kuangrong Author-X-Name-Last: Hao Author-Name: Lihong Ren Author-X-Name-First: Lihong Author-X-Name-Last: Ren Author-Name: Hua Han Author-X-Name-First: Hua Author-X-Name-Last: Han Title: An immune orthogonal learning particle swarm optimisation algorithm for routing recovery of wireless sensor networks with mobile sink Abstract: The growth of mobile handheld devices promotes sink mobility in an increasing number of wireless sensor networks (WSNs) applications. The movement of the sink may lead to the breakage of existing routes of WSNs, thus the routing recovery problem is a critical challenge. In order to maintain the available route from each source node to the sink, we propose an immune orthogonal learning particle swarm optimisation algorithm (IOLPSOA) to provide fast routing recovery from path failure due to the sink movement, and construct the efficient alternative path to repair the route. Due to its efficient bio-heuristic routing recovery mechanism in the algorithm, the orthogonal learning strategy can guide particles to fly on better directions by constructing a much promising and efficient exemplar, and the immune mechanism can maintain the diversity of the particles. We discuss the implementation of the IOLPSOA-based routing protocol and present the performance evaluation through several simulation experiments. The results demonstrate that the IOLPSOA-based protocol outperforms the other three protocols, which can efficiently repair the routing topology changed by the sink movement, reduce the communication overhead and prolong the lifetime of WSNs with mobile sink. Journal: International Journal of Systems Science Pages: 337-350 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.723053 File-URL: http://hdl.handle.net/10.1080/00207721.2012.723053 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:337-350 Template-Type: ReDIF-Article 1.0 Author-Name: Guanlong Deng Author-X-Name-First: Guanlong Author-X-Name-Last: Deng Author-Name: Xingsheng Gu Author-X-Name-First: Xingsheng Author-X-Name-Last: Gu Title: An iterated greedy algorithm for the single-machine total weighted tardiness problem with sequence-dependent setup times Abstract: This article presents an enhanced iterated greedy (EIG) algorithm that searches both insert and swap neighbourhoods for the single-machine total weighted tardiness problem with sequence-dependent setup times. Novel elimination rules and speed-ups are proposed for the swap move to make the employment of swap neighbourhood worthwhile due to its reduced computational expense. Moreover, a perturbation operator is newly designed as a substitute for the existing destruction and construction procedures to prevent the search from being attracted to local optima. To validate the proposed algorithm, computational experiments are conducted on a benchmark set from the literature. The results show that the EIG outperforms the existing state-of-the-art algorithms for the considered problem. Journal: International Journal of Systems Science Pages: 351-362 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.723054 File-URL: http://hdl.handle.net/10.1080/00207721.2012.723054 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:351-362 Template-Type: ReDIF-Article 1.0 Author-Name: Jun Shen Author-X-Name-First: Jun Author-X-Name-Last: Shen Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Title: State feedback control of commensurate fractional-order systems Abstract: This article focuses on the state feedback H∞ control problem for commensurate fractional-order systems with a prescribed H∞ performance. For linear time-invariant fractional-order systems, a sufficient condition to guarantee stability with H∞ performance is firstly presented. Then, by introducing a new flexible real matrix variable, the feedback gain is decoupled with complex matrix variables and further parametrised by the new flexible matrix. Moreover, iterative linear matrix inequality algorithms with initial optimisation are developed to solve the state feedback H∞ suboptimal control problem for fractional-order systems. Finally, illustrative examples are given to show the effectiveness of the proposed approaches. Journal: International Journal of Systems Science Pages: 363-372 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.723055 File-URL: http://hdl.handle.net/10.1080/00207721.2012.723055 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:363-372 Template-Type: ReDIF-Article 1.0 Author-Name: E Mahdipour Author-X-Name-First: E Author-X-Name-Last: Mahdipour Author-Name: Amir Rahmani Author-X-Name-First: Amir Author-X-Name-Last: Rahmani Author-Name: Saeed Setayeshi Author-X-Name-First: Saeed Author-X-Name-Last: Setayeshi Title: Performance evaluation of an importance sampling technique in a Jackson network Abstract: Importance sampling is a technique that is commonly used to speed up Monte Carlo simulation of rare events. However, little is known regarding the design of efficient importance sampling algorithms in the context of queueing networks. The standard approach, which simulates the system using an a priori fixed change of measure suggested by large deviation analysis, has been shown to fail in even the simplest network settings. Estimating probabilities associated with rare events has been a topic of great importance in queueing theory, and in applied probability at large. In this article, we analyse the performance of an importance sampling estimator for a rare event probability in a Jackson network. This article carries out strict deadlines to a two-node Jackson network with feedback whose arrival and service rates are modulated by an exogenous finite state Markov process. We have estimated the probability of network blocking for various sets of parameters, and also the probability of missing the deadline of customers for different loads and deadlines. We have finally shown that the probability of total population overflow may be affected by various deadline values, service rates and arrival rates. Journal: International Journal of Systems Science Pages: 373-383 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724092 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724092 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:373-383 Template-Type: ReDIF-Article 1.0 Author-Name: Chie-Wun Chiou Author-X-Name-First: Chie-Wun Author-X-Name-Last: Chiou Author-Name: Muh-Cherng Wu Author-X-Name-First: Muh-Cherng Author-X-Name-Last: Wu Title: Scheduling of multiple in-line steppers for semiconductor wafer fabs Abstract: A few prior studies noticed that an in-line stepper (a bottleneck machine in a semiconductor fab) may have a capacity loss while operated in a low-yield scenario. To alleviate such a capacity loss, some meta-heuristic algorithms for scheduling a single in-line stepper were proposed. Yet, in practice, there are multiple in-line steppers to be scheduled in a fab. This article aims to enhance prior algorithms so as to deal with the scheduling for multiple in-line steppers. Compared to prior studies, this research has to additionally consider how to appropriately allocate jobs to various machines. We enhance prior algorithms by developing a chromosome-decoding scheme which can yield a job-allocation decision for any given chromosome (or job sequence). Seven enhanced versions of meta-heuristic algorithms (genetic algorithm, Tabu, GA–Tabu, simulated annealing, M-MMAX, PACO and particle swarm optimisation) were then proposed and tested. Numerical experiments indicate that the GA–Tabu method outperforms the others. In addition, the lower the process yield, the better is the performance of the GA–Tabu algorithm. Journal: International Journal of Systems Science Pages: 384-398 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724093 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724093 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:384-398 Template-Type: ReDIF-Article 1.0 Author-Name: Hugang Han Author-X-Name-First: Hugang Author-X-Name-Last: Han Title: approach to T-S fuzzy controller for limiting reconstruction errors Abstract: In this article, the reconstruction error between a real system to be controlled and its Takagi–Sugeno (T-S) fuzzy model is considered in the context of control system design. Accordingly, we propose an H∞ approach to an adaptive controller that consists of two parts: one is obtained by solving certain linear matrix inequalities (fixed part) and the other is acquired using a fuzzy approximator in which the related parameters are tuned by an adaptive law (variable part). The proposed controller can guarantee a convergent and uniformly bounded control state while maintaining the stability of all the signals involved. Journal: International Journal of Systems Science Pages: 399-406 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724094 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724094 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:399-406 Template-Type: ReDIF-Article 1.0 Author-Name: Engin Ergul Author-X-Name-First: Engin Author-X-Name-Last: Ergul Author-Name: Ilyas Eminoglu Author-X-Name-First: Ilyas Author-X-Name-Last: Eminoglu Title: DOPGA: a new fitness assignment scheme for multi-objective evolutionary algorithms Abstract: In this article, a new fitness assignment scheme to evaluate the Pareto-optimal solutions for multi-objective evolutionary algorithms is proposed. The proposed DOmination Power of an individual Genetic Algorithm (DOPGA) method can order the individuals in a form in which each individual (the so-called solution) could have a unique rank. With this new method, a multi-objective problem can be treated as if it were a single-objective problem without drastically deviating from the Pareto definition. In DOPGA, relative position of a solution is embedded into the fitness assignment procedures. We compare the performance of the algorithm with two benchmark evolutionary algorithms (Strength Pareto Evolutionary Algorithm (SPEA) and Strength Pareto Evolutionary Algorithm 2 (SPEA2)) on 12 unconstrained bi-objective and one tri-objective test problems. DOPGA significantly outperforms SPEA on all test problems. DOPGA performs better than SPEA2 in terms of convergence metric on all test problems. Also, Pareto-optimal solutions found by DOPGA spread better than SPEA2 on eight of 13 test problems. Journal: International Journal of Systems Science Pages: 407-426 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724095 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724095 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:407-426 Template-Type: ReDIF-Article 1.0 Author-Name: Yan Cui Author-X-Name-First: Yan Author-X-Name-Last: Cui Author-Name: Yingmin Jia Author-X-Name-First: Yingmin Author-X-Name-Last: Jia Title: Robust  −  consensus control for uncertain high-order multi-agent systems with time-delay Abstract: This article studies that the robust consensus problem for high-order multi-agent systems with time-delay, which are subjected to external disturbances and communication uncertainties. An approach based on the weighting matrix is introduced to meet the requirement that the peak value of controlled output is often required into a certain range. Then, a dynamic model of high-order multi-agent systems is established. Using a feedback controller and interactions from the neighbours including uncertainties, a linear control protocol is proposed for the systems with networks under fixed or switching topologies. Sufficient conditions in terms of linear matrix inequalities are derived to make all the agents reach robust consensus with the prescribed L2 − L∞ performance. A numerical simulation is provided to demonstrate the effectiveness of the proposed protocol. Journal: International Journal of Systems Science Pages: 427-438 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724096 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724096 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:427-438 Template-Type: ReDIF-Article 1.0 Author-Name: Jacques Georgy Author-X-Name-First: Jacques Author-X-Name-Last: Georgy Author-Name: Aboelmagd Noureldin Author-X-Name-First: Aboelmagd Author-X-Name-Last: Noureldin Title: Unconstrained underwater multi-target tracking in passive sonar systems using two-stage PF-based technique Abstract: A robust particle filter (PF)-based multi-target tracking solution for passive sonar systems able to track an unknown time-varying number of multiple targets, while keeping continuous tracks of such targets, is presented in this article. PF is a nonlinear filtering technique that can accommodate arbitrary sensor characteristics, motion dynamics and noise distributions. An enhanced version of PF is employed and is called Mixture PF. The commonly used sampling/importance resampling PF samples from the prior importance density, while Mixture PF samples from both the prior and the observation likelihood. In order to be able to track an unknown time-varying number of multiple targets, two Mixture PFs are used, one for target detection and the other for tracking multiple targets, and a density-based clustering technique is used after the first filter. This article demonstrates the applicability of the proposed technique for the passive problem, which suffers from the lack of measurements and the small detection range of the buoys, especially for weak signals. A contact-level simulation was used to generate different scenarios and the performance of the proposed technique called Clustered-Mixture PF was examined with either bearing measurement only or bearing and Doppler measurements, and it demonstrated its high performance. Journal: International Journal of Systems Science Pages: 439-455 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724097 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724097 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:439-455 Template-Type: ReDIF-Article 1.0 Author-Name: Ana Estrada-Vargas Author-X-Name-First: Ana Author-X-Name-Last: Estrada-Vargas Author-Name: Ernesto López-Mellado Author-X-Name-First: Ernesto Author-X-Name-Last: López-Mellado Author-Name: Jean-Jacques Lesage Author-X-Name-First: Jean-Jacques Author-X-Name-Last: Lesage Title: Input–output identification of controlled discrete manufacturing systems Abstract: The automated construction of discrete event models from observations of external system's behaviour is addressed. This problem, often referred to as system identification, allows obtaining models of ill-known (or even unknown) systems. In this article, an identification method for discrete event systems (DESs) controlled by a programmable logic controller is presented. The method allows processing a large quantity of observed long sequences of input/output signals generated by the controller and yields an interpreted Petri net model describing the closed-loop behaviour of the automated DESs. The proposed technique allows the identification of actual complex systems because it is sufficiently efficient and well adapted to cope with both the technological characteristics of industrial controllers and data collection requirements. Based on polynomial-time algorithms, the method is implemented as an efficient software tool which constructs and draws the model automatically; an overview of this tool is given through a case study dealing with an automated manufacturing system. Journal: International Journal of Systems Science Pages: 456-471 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724098 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724098 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:456-471 Template-Type: ReDIF-Article 1.0 Author-Name: Tatsushi Nishi Author-X-Name-First: Tatsushi Author-X-Name-Last: Nishi Author-Name: Masato Wakatake Author-X-Name-First: Masato Author-X-Name-Last: Wakatake Title: Decomposition of timed automata for solving scheduling problems Abstract: A decomposition algorithm for scheduling problems based on timed automata (TA) model is proposed. The problem is represented as an optimal state transition problem for TA. The model comprises of the parallel composition of submodels such as jobs and resources. The procedure of the proposed methodology can be divided into two steps. The first step is to decompose the TA model into several submodels by using decomposable condition. The second step is to combine individual solution of subproblems for the decomposed submodels by the penalty function method. A feasible solution for the entire model is derived through the iterated computation of solving the subproblem for each submodel. The proposed methodology is applied to solve flowshop and jobshop scheduling problems. Computational experiments demonstrate the effectiveness of the proposed algorithm compared with a conventional TA scheduling algorithm without decomposition. Journal: International Journal of Systems Science Pages: 472-486 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724099 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724099 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:472-486 Template-Type: ReDIF-Article 1.0 Author-Name: Zhenhua Wang Author-X-Name-First: Zhenhua Author-X-Name-Last: Wang Author-Name: Yi Shen Author-X-Name-First: Yi Author-X-Name-Last: Shen Author-Name: Xiaolei Zhang Author-X-Name-First: Xiaolei Author-X-Name-Last: Zhang Title: Actuator fault estimation for a class of nonlinear descriptor systems Abstract: This article proposes an actuator fault estimation approach for a class of nonlinear descriptor systems. The radial basis function (RBF) neural networks are utilised to model the actuator faults. The adaptive fault estimation observer is designed by exploiting the on-line learning ability of RBF neural networks to approximate the actuator fault. The adaptive algorithm of the RBF networks is established by the Lyapunov theory, and the design of the proposed observer is reformulated as a set of linear matrix inequalities (LMIs), which can be conveniently solved by standard LMI tools. Finally, two simulation examples are used to demonstrate the effectiveness of the proposed fault diagnosis method. Journal: International Journal of Systems Science Pages: 487-496 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724100 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724100 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:487-496 Template-Type: ReDIF-Article 1.0 Author-Name: Feisheng Yang Author-X-Name-First: Feisheng Author-X-Name-Last: Yang Author-Name: Huaguang Zhang Author-X-Name-First: Huaguang Author-X-Name-Last: Zhang Author-Name: Zhenwei Liu Author-X-Name-First: Zhenwei Author-X-Name-Last: Liu Author-Name: Ranran Li Author-X-Name-First: Ranran Author-X-Name-Last: Li Title: Delay-dependent resilient-robust stabilisation of uncertain networked control systems with variable sampling intervals Abstract: This work is concerned with the robust resilient control problem for uncertain networked control systems (NCSs) with variable sampling intervals, variant-induced delays and possible data dropouts, which is seldom considered in current literature. It is mainly based on the continuous time-varying-delay system approach. Followed by the nominal case, delay-dependent resilient robust stabilising conditions for the closed-loop NCS against controller gain variations are derived by employing a novel Lyapunov–Krasovskii functional which makes good use of the information of both lower and upper bounds on the varying input delay, and the upper bound on the variable sampling interval as well. A feasible solution of the obtained criterion formulated as linear matrix inequalities can be gotten. A tighter bounding technique is presented for acquiring the time derivative of the functional so as to utilise many more useful elements, meanwhile neither slack variable nor correlated augmented item is introduced to reduce overall computational burden. Two examples are given to show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 497-508 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724101 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724101 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:497-508 Template-Type: ReDIF-Article 1.0 Author-Name: L.G. van Willigenburg Author-X-Name-First: L.G. Author-X-Name-Last: van Willigenburg Author-Name: W.L. de Koning Author-X-Name-First: W.L. Author-X-Name-Last: de Koning Title: Equivalent optimal compensation problem in the delta domain for systems with white stochastic parameters Abstract: The equivalent representation in the delta domain of the digital optimal compensation problem is provided and computed in this article. This problem concerns finding digital optimal full and reduced-order output feedback controllers for linear time-varying and time-invariant systems with white stochastic parameters. It can subsequently be solved in the delta domain using the strengthened optimal projection equations that we recently formulated in this domain as well. If the sampling rate becomes high, stating and solving the problem in the delta domain becomes necessary because the conventional discrete-time problem formulation and solution become ill-conditioned. In this article, by means of several numerical examples and compensator implementations, we demonstrate this phenomenon. To compute and quantify the improved performance when the sampling rate becomes high, a new delta-domain algorithm is developed. This algorithm computes the performance of arbitrary digital compensators for linear systems with white stochastic parameters. The principle application concerns nonconservative robust digital perturbation feedback control of nonlinear systems with high sampling rates. Journal: International Journal of Systems Science Pages: 509-522 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724102 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724102 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:509-522 Template-Type: ReDIF-Article 1.0 Author-Name: Xiuming Yao Author-X-Name-First: Xiuming Author-X-Name-Last: Yao Author-Name: Wei Zheng Author-X-Name-First: Wei Author-X-Name-Last: Zheng Title: On -consensus filtering for multi-agent systems Abstract: This article investigates the H∞-consensus filtering problem for multi-agent systems. The purpose of the problem addressed herein is to design decentralised full-order filters such that the filtering error dynamics achieve consensus and the prescribed noise attenuation level in H∞ sense. Based on the state decomposition and the Lyapunov function method, sufficient conditions expressed in terms of linear matrix inequalities are derived for existence of such filters. Finally, a simulation example is utilised to demonstrate the usefulness of the developed theoretical results. Journal: International Journal of Systems Science Pages: 523-531 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724103 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724103 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:523-531 Template-Type: ReDIF-Article 1.0 Author-Name: Yonggang Chen Author-X-Name-First: Yonggang Author-X-Name-Last: Chen Author-Name: Shumin Fei Author-X-Name-First: Shumin Author-X-Name-Last: Fei Author-Name: Kanjian Zhang Author-X-Name-First: Kanjian Author-X-Name-Last: Zhang Title: Stabilisation for switched linear systems with time-varying delay and input saturation Abstract: This article investigates the stabilisation problems for continuous-time and discrete-time switched systems with time-varying delay and saturated control input. Based on dwell time switching signals and multiple Lyapunov functional method, stabilisation conditions are well obtained in the context of linear matrix inequalities. To estimate attractive regions as large as possible, the feasibility problems are translated into optimisation problems. In addition, the corresponding results are presented for linear time-delay systems and switched delay-free systems, which improve and supplement some existing ones in the literature. Finally, numerical examples and simulations are given to illustrate the effectiveness and values of the proposed results. Journal: International Journal of Systems Science Pages: 532-546 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724104 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724104 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:532-546 Template-Type: ReDIF-Article 1.0 Author-Name: Arash Sadeghzadeh Author-X-Name-First: Arash Author-X-Name-Last: Sadeghzadeh Title: Performance analysis for uncertain multivariable systems obtained by system identification Abstract: This article provides a framework for robust performance analysis of linear time-invariant uncertain multivariable systems obtained by classical system identification methods. The performance measures are in terms of H2 or H∞ norm of a closed-loop transfer matrix. An upper bound for the performance analysis criterion is computed via an LMI-based optimisation problem. The LFT description is used as a tool for uncertainty modelling. The proposed performance conditions are derived based on using the parameter-dependent Lyapunov functions and are deduced via a parametrisation for the set of multipliers corresponding to the ellipsoidal uncertainty set delivered by system identification procedure. The effectiveness of the proposed analysis approach is demonstrated by a numerical example. Journal: International Journal of Systems Science Pages: 547-555 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724105 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724105 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:547-555 Template-Type: ReDIF-Article 1.0 Author-Name: Dongya Zhao Author-X-Name-First: Dongya Author-X-Name-Last: Zhao Author-Name: Quanmin Zhu Author-X-Name-First: Quanmin Author-X-Name-Last: Zhu Title: Position synchronised control of multiple robotic manipulators based on integral sliding mode Abstract: In this study, a new position synchronised control algorithm is developed for multiple robotic manipulator systems. In the merit of system synchronisation and integral sliding mode control, the proposed approach can stabilise position tracking of each robotic manipulator while coordinating its motion with the other manipulators. With the integral sliding mode, the proposed approach has insensitiveness against the lumped system uncertainty within the entire process of operation. Further, a perturbation estimator is proposed to reduce chattering effect. The corresponding stability analysis is presented to lay a foundation for theoretical understanding to the underlying issues as well as safely operating real systems. An illustrative example is bench tested to validate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 556-570 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724106 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724106 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:556-570 Template-Type: ReDIF-Article 1.0 Author-Name: Bayi Cheng Author-X-Name-First: Bayi Author-X-Name-Last: Cheng Author-Name: Shanlin Yang Author-X-Name-First: Shanlin Author-X-Name-Last: Yang Author-Name: Xiaoxuan Hu Author-X-Name-First: Xiaoxuan Author-X-Name-Last: Hu Author-Name: Kai Li Author-X-Name-First: Kai Author-X-Name-Last: Li Title: Scheduling algorithm for flow shop with two batch-processing machines and arbitrary job sizes Abstract: This article considers the problem of scheduling two batch-processing machines in flow shop where the jobs have arbitrary sizes and the machines have limited capacity. The jobs are processed in batches and the total size of jobs in each batch cannot exceed the machine capacity. Once a batch is being processed, no interruption is allowed until all the jobs in it are completed. The problem of minimising makespan is NP-hard in the strong sense. First, we present a mathematical model of the problem using integer programme. We show the scale of feasible solutions of the problem and provide optimality properties. Then, we propose a polynomial time algorithm with running time in O(nlogn). The jobs are first assigned in feasible batches and then scheduled on machines. For the general case, we prove that the proposed algorithm has a performance guarantee of 4. For the special case where the processing times of each job on the two machines satisfy p1j = ap2j, the performance guarantee is for a > 0. Journal: International Journal of Systems Science Pages: 571-578 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724107 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724107 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:571-578 Template-Type: ReDIF-Article 1.0 Author-Name: Yuanshi Zheng Author-X-Name-First: Yuanshi Author-X-Name-Last: Zheng Author-Name: Yunru Zhu Author-X-Name-First: Yunru Author-X-Name-Last: Zhu Author-Name: Long Wang Author-X-Name-First: Long Author-X-Name-Last: Wang Title: Finite-time consensus of multiple second-order dynamic agents without velocity measurements Abstract: This article considers the finite-time consensus of multiple second-order dynamic agents without velocity measurements. A feasible protocol under which each agent can only obtain the measurements of its position relative to its neighbours is proposed. By applying the graph theory, Lyapunov theory and the homogeneous domination method, some sufficient conditions for finite-time consensus of second-order multi-agent systems are established under the different kinds of communication topologies. Some examples are presented to illustrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 579-588 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724108 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724108 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:579-588 Template-Type: ReDIF-Article 1.0 Author-Name: Changyong Liang Author-X-Name-First: Changyong Author-X-Name-Last: Liang Author-Name: Yajun Leng Author-X-Name-First: Yajun Author-X-Name-Last: Leng Title: Collaborative filtering based on information-theoretic co-clustering Abstract: Collaborative filtering is one of the most popular recommendation techniques, which provides personalised recommendations based on users’ tastes. In spite of its huge success, it suffers from a range of problems, the most fundamental being that of data sparsity. Sparsity in ratings makes the formation of inaccurate neighbourhood, thereby resulting in poor recommendations. To address this issue, in this article, we propose a novel collaborative filtering approach based on information-theoretic co-clustering. The proposed approach computes two types of similarities: cluster preference and rating, and combines them. Based on the combined similarity, the user-based and item-based approaches are adopted, respectively, to obtain individual predictions for an unknown target rating. Finally, the proposed approach fuses these resultant predictions. Experimental results show that the proposed approach is superior to existing alternatives. Journal: International Journal of Systems Science Pages: 589-597 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724109 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724109 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:589-597 Template-Type: ReDIF-Article 1.0 Author-Name: Quanzhong Liu Author-X-Name-First: Quanzhong Author-X-Name-Last: Liu Author-Name: Peng Shi Author-X-Name-First: Peng Author-X-Name-Last: Shi Author-Name: Zhengguo Hu Author-X-Name-First: Zhengguo Author-X-Name-Last: Hu Author-Name: Yang Zhang Author-X-Name-First: Yang Author-X-Name-Last: Zhang Title: A novel approach of mining strong jumping emerging patterns based on BSC-tree Abstract: It is a great challenge to discover strong jumping emerging patterns (SJEPs) from a high-dimensional dataset because of the huge pattern space. In this article, we propose a dynamically growing contrast pattern tree (DGCP-tree) structure to store grown patterns and their path codes arrays with 1-bit counts, which are from the constructed bit string compression tree. A method of mining SJEPs based on DGCP-tree is developed. In order to reduce the pattern search space, we introduce a novel pattern pruning method, which dramatically reduces non-minimal jumping emerging patterns (JEPs) during the mining process. Experiments are performed on three real cancer datasets and three datasets from the University of California, Irvine machine-learning repository. Compared with the well-known CP-tree method, the results show that the proposed method is substantially faster, able to handle higher-dimensional datasets and to prune more non-minimal JEPs. Journal: International Journal of Systems Science Pages: 598-615 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724110 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724110 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:598-615 Template-Type: ReDIF-Article 1.0 Author-Name: Kyun-Sang Park Author-X-Name-First: Kyun-Sang Author-X-Name-Last: Park Author-Name: Jong-Tae Lim Author-X-Name-First: Jong-Tae Author-X-Name-Last: Lim Title: Robust stability of non-standard nonlinear singularly perturbed discrete systems with uncertainties Abstract: In the past several decades, the singularly perturbed discrete systems have received much attention for the stability analysis and controller design. Recently, there are some results about the nonlinear singularly perturbed discrete systems. Compared with the existing result, we consider the robust stability of the uncertain nonlinear singularly perturbed discrete systems with the less conservative assumption via the Lyapunov function method. Moreover, the previous results of the singularly perturbed discrete system are only applied to the system, which is composed of the slow part and the fast part, separately. However, we consider the non-standard nonlinear singularly perturbed discrete system in which the slow part and the fast part coexist, that is, a general case of the nonlinear singularly perturbed discrete systems. Then, by using the lower-order subsystems from two standard systems, we present the robust stability of the non-standard nonlinear singularly perturbed discrete system with uncertainties. Journal: International Journal of Systems Science Pages: 616-624 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724111 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724111 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:616-624 Template-Type: ReDIF-Article 1.0 Author-Name: Meimei Xia Author-X-Name-First: Meimei Author-X-Name-Last: Xia Author-Name: Zeshui Xu Author-X-Name-First: Zeshui Author-X-Name-Last: Xu Author-Name: Zhong Wang Author-X-Name-First: Zhong Author-X-Name-Last: Wang Title: Multiplicative consistency-based decision support system for incomplete linguistic preference relations Abstract: The experts may have difficulty in expressing all their preferences over alternatives or criteria, and produce the incomplete linguistic preference relation. Consistency plays an important role in estimating unknown values from an incomplete linguistic preference relation. Many methods have been developed to obtain a complete linguistic preference relation based on additive consistency, but some unreasonable values may be produced in the estimation process. To overcome this issue, we propose a new characterisation about multiplicative consistency of the linguistic preference relation, present an algorithm to estimate missing values from an incomplete linguistic preference relation, and establish a decision support system for aiding the experts to complete their linguistic preference relations in a more consistent way. Some examples are also given to illustrate the proposed methods. Journal: International Journal of Systems Science Pages: 625-636 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724112 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724112 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:625-636 Template-Type: ReDIF-Article 1.0 Author-Name: Jun-Yong Zhai Author-X-Name-First: Jun-Yong Author-X-Name-Last: Zhai Title: Global finite-time output feedback stabilisation for a class of uncertain nontriangular nonlinear systems Abstract: This article addresses the problem of global finite-time output feedback stabilisation for a class of nonlinear systems in nontriangular form with an unknown output function. Since the output function is not precisely known, traditional observers based on the output is not implementable. We first design a state observer and use the observer states to construct a controller to globally stabilise the nominal system without the perturbing nonlinearities. Then, we apply the homogeneous domination approach to design a scaled homogeneous observer and controller with an appropriate choice of gain to render the nonlinear system globally finite-time stable. Journal: International Journal of Systems Science Pages: 637-646 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724113 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724113 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:637-646 Template-Type: ReDIF-Article 1.0 Author-Name: Indrajit Mandal Author-X-Name-First: Indrajit Author-X-Name-Last: Mandal Author-Name: N. Sairam Author-X-Name-First: N. Author-X-Name-Last: Sairam Title: New machine-learning algorithms for prediction of Parkinson's disease Abstract: This article presents an enhanced prediction accuracy of diagnosis of Parkinson's disease (PD) to prevent the delay and misdiagnosis of patients using the proposed robust inference system. New machine-learning methods are proposed and performance comparisons are based on specificity, sensitivity, accuracy and other measurable parameters. The robust methods of treating Parkinson's disease (PD) includes sparse multinomial logistic regression, rotation forest ensemble with support vector machines and principal components analysis, artificial neural networks, boosting methods. A new ensemble method comprising of the Bayesian network optimised by Tabu search algorithm as classifier and Haar wavelets as projection filter is used for relevant feature selection and ranking. The highest accuracy obtained by linear logistic regression and sparse multinomial logistic regression is 100% and sensitivity, specificity of 0.983 and 0.996, respectively. All the experiments are conducted over 95% and 99% confidence levels and establish the results with corrected t-tests. This work shows a high degree of advancement in software reliability and quality of the computer-aided diagnosis system and experimentally shows best results with supportive statistical inference. Journal: International Journal of Systems Science Pages: 647-666 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724114 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724114 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:647-666 Template-Type: ReDIF-Article 1.0 Author-Name: H. Gassara Author-X-Name-First: H. Author-X-Name-Last: Gassara Author-Name: A. Hajjaji Author-X-Name-First: A. Author-X-Name-Last: Hajjaji Author-Name: M. Kchaou Author-X-Name-First: M. Author-X-Name-Last: Kchaou Author-Name: M. Chaabane Author-X-Name-First: M. Author-X-Name-Last: Chaabane Title: Robust reliable control of time delay nonlinear systems via Takagi–Sugeno fuzzy models Abstract: This article is focused on reliable fuzzy H∞ controller design for a class of Takagi–Sugeno (T–S) fuzzy systems with state delay, actuator failures, disturbance input and norm bounded uncertainties. In the design, the H∞ performance of the closed-loop system is optimised during normal operation (without failures) while the system satisfies a prescribed H∞ performance level in the case of actuator failures. Two methods are presented in this study. In the first method, delay-dependent conditions are derived based on a single Lyapunov–Krasovskii function. This method improves delay-independent results existing in the literature. Next, to further reduce the conservatism, we use a parameter-dependent Lyapunov–Krasovskii function. The new sufficient conditions for the existence of the suboptimal robust reliable controller are shown in terms of linear matrix inequalities (LMIs), which can be solved by using LMI optimisation techniques. A simulation example shows the effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 667-681 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724115 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724115 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:667-681 Template-Type: ReDIF-Article 1.0 Author-Name: Z.H. Huang Author-X-Name-First: Z.H. Author-X-Name-Last: Huang Author-Name: Y.V. Venkatesh Author-X-Name-First: Y.V. Author-X-Name-Last: Venkatesh Author-Name: C. Xiang Author-X-Name-First: C. Author-X-Name-Last: Xiang Author-Name: T.H. Lee Author-X-Name-First: T.H. Author-X-Name-Last: Lee Title: Frequency-domain -stability conditions for switched linear and nonlinear SISO systems Abstract: We consider the L2-stability analysis of single-input–single-output (SISO) systems with periodic and nonperiodic switching gains and described by integral equations that can be specialised to the form of standard differential equations. For the latter, stability literature is mostly based on the application of quadratic forms as Lyapunov-function candidates which lead, in general, to conservative results. Exceptions are some recent results, especially for second-order linear differential equations, obtained by trajectory control or optimisation to arrive at the worst-case switching sequence of the gain. In contrast, we employ a non-Lyapunov framework to derive L2-stability conditions for a class of (linear and) nonlinear SISO systems in integral form, with monotone, odd-monotone and relaxed monotone nonlinearities, and, in each case, with periodic or nonperiodic switching gains. The derived frequency-domain results are reminiscent of (i) the Nyquist criterion for linear time-invariant feedback systems and (ii) the Popov-criterion for time-invariant nonlinear feedback systems with the Lur'e-type nonlinearity. Although overlapping with some recent results of the literature for periodic gains, they have been derived independently in essentially the Popov framework, are different for certain classes of nonlinearities and address some of the questions left open, with respect to, for instance, the synthesis of the multipliers and numerical interpretation of the results. Apart from the novelty of the results as applied to the dwell-time problem, they reveal an interesting phenomenon of the switched systems: fast switching can lead to stability, thereby providing an alternative framework for vibrational stability analysis. Journal: International Journal of Systems Science Pages: 682-701 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724199 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724199 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:682-701 Template-Type: ReDIF-Article 1.0 Author-Name: Daniel Chao Author-X-Name-First: Daniel Author-X-Name-Last: Chao Title: Recursive solution of number of reachable states of a simple subclass of FMS Abstract: This paper aims to compute the number of reachable (forbidden, live and deadlock) states for flexible manufacturing systems (FMS) without the construction of reachability graph. The problem is nontrivial and takes, in general, an exponential amount of time to solve. Hence, this paper focusses on a simple version of Systems of Simple Sequential Processes with Resources (S3PR), called kth-order system, where each resource place holds one token to be shared between two processes. The exact number of reachable (forbidden, live and deadlock) states can be computed recursively. Journal: International Journal of Systems Science Pages: 702-710 Issue: 3 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.745240 File-URL: http://hdl.handle.net/10.1080/00207721.2012.745240 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:702-710 Template-Type: ReDIF-Article 1.0 Author-Name: Magdi S. Mahmoud Author-X-Name-First: Magdi S. Author-X-Name-Last: Mahmoud Author-Name: Peng Shi Author-X-Name-First: Peng Author-X-Name-Last: Shi Title: Persistent bounded disturbance rejection for discrete-time delay systems Abstract: In this article, we provide a novel solution to the problem of persistent bounded disturbance rejection in linear discrete-time systems with time-varying delays. The solution is developed based on the tools of invariant set analysis and Lyapunov-function method. As an integral part of the solution, we derive less conservative sufficient conditions on robust attractor for discrete-time systems with delays in terms of strict linear matrix inequalities to guarantee the desired ℓ1-performance. A robust state-feedback controller is designed and the associated gain is determined using strict LMIs. The developed results are tested on a representative example. Journal: International Journal of Systems Science Pages: 921-930 Issue: 6 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903260150 File-URL: http://hdl.handle.net/10.1080/00207720903260150 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:6:p:921-930 Template-Type: ReDIF-Article 1.0 Author-Name: Wen-Chuan Lee Author-X-Name-First: Wen-Chuan Author-X-Name-Last: Lee Title: Inferences on the lifetime performance index for Weibull distribution based on censored observations using the max -value method Abstract: In the service (or manufacturing) industries, process capability indices (PCIs) are utilised to assess whether product quality meets the required level. And the lifetime performance index (or larger-the-better PCI) CL is frequently used as a means of measuring product performance, where L is the lower specification limit. Hence, this study first uses the max p-value method to select the optimum value of the shape parameter β of the Weibull distribution and β is given. Second, we also construct the maximum likelihood estimator (MLE) of CL based on the type II right‐censored sample from the Weibull distribution. The MLE of CL is then utilised to develop a novel hypothesis testing procedure provided that L is known. Finally, we give one practical example to illustrate the use of the testing procedure under given significance level α. Journal: International Journal of Systems Science Pages: 931-937 Issue: 6 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903260168 File-URL: http://hdl.handle.net/10.1080/00207720903260168 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:6:p:931-937 Template-Type: ReDIF-Article 1.0 Author-Name: Jieh-Shian Young Author-X-Name-First: Jieh-Shian Author-X-Name-Last: Young Title: Synthesis of decoupling controller for non-minimum phase plants of different pole numbers on RHP within uncertainties Abstract: This article mainly studies the decoupling controller design for non-minimum phase plants of different pole numbers on RHP within uncertainties. The normalised coprime factorisation is considered to achieve the robustness requirements. The pole-zero cancellations on RHP should be averted for the sake of robustness. For convenience, the H∞ sub-optimal controller is utilised to meet the robust criterion of the plant. Some necessary state space formulae are also provided to facilitate the synthesis of the decoupling controller. The configuration of the two-parameter compensation is employed. The Bezout identity makes the feedforward controller easy to determine. A brief algorithm is presented. In addition, the proposed synthesis is illustrated with a numerical example. The robust bounds of the feedback controller can be assessed for both the additive uncertainty and the coprime factor uncertainties. The result shows that the compensated system is decoupled and is guaranteed to be internally stable within the specified robust bound although the pole number varies on RHP. Journal: International Journal of Systems Science Pages: 939-950 Issue: 6 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903260184 File-URL: http://hdl.handle.net/10.1080/00207720903260184 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:6:p:939-950 Template-Type: ReDIF-Article 1.0 Author-Name: W.J. Xiao Author-X-Name-First: W.J. Author-X-Name-Last: Xiao Author-Name: W.D. Chen Author-X-Name-First: W.D. Author-X-Name-Last: Chen Author-Name: B. Parhami Author-X-Name-First: B. Author-X-Name-Last: Parhami Title: On necessary conditions for scale-freedom in complex networks, with applications to computer communication systems Abstract: Many complex networks exhibit a scale-free, power-law distribution of vertex degrees. This common feature is a consequence of two generic mechanisms relating to the formation of real networks: (i) networks tend to expand over time through the addition of new vertices and (ii) new vertices attach preferentially to those that are already well connected. We show that for many natural or man-made complex networks possessing a scale-free power-law distribution with the exponent γ ≥ 2, the number of degree-1 vertices, when nonzero, is of the same order as the network size N and that the average degree is of order at most log N. Our results expose another necessary characteristic of such networks. Furthermore, our method has the benefit of relying only on conditions that are static and easily verified for arbitrary networks. We use the preceding results to derive a closed-form formula approximating the distance distribution in scale-free networks. Such distributions are applied extensively in the fields of computer communication and software architecture, among other domains. Journal: International Journal of Systems Science Pages: 951-958 Issue: 6 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903267841 File-URL: http://hdl.handle.net/10.1080/00207720903267841 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:6:p:951-958 Template-Type: ReDIF-Article 1.0 Author-Name: Chong Jiang Author-X-Name-First: Chong Author-X-Name-Last: Jiang Author-Name: Qingling Zhang Author-X-Name-First: Qingling Author-X-Name-Last: Zhang Author-Name: Min Cai Author-X-Name-First: Min Author-X-Name-Last: Cai Title: control of networked control systems with state quantisation Abstract: This article addresses the problem of controller design for networked control systems over digital communication. The systems under consideration are stabilised via state feedback, where the effects of sampled signal, state quantisation, network-induced delay and packet dropout are considered. The proposed delay-dependent stability criteria are formulated in the form of a linear matrix inequality, which ensure asymptotic stability and a prescribed H∞ performance level for networked control systems with admissible uncertainties. Maximum allowable delay bound of networked control systems is obtained by solving a convex optimisation problem. Furthermore, a numerical example is given to illustrate the effectiveness of the main result. Journal: International Journal of Systems Science Pages: 959-966 Issue: 6 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903267858 File-URL: http://hdl.handle.net/10.1080/00207720903267858 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:6:p:959-966 Template-Type: ReDIF-Article 1.0 Author-Name: Haibo Jiang Author-X-Name-First: Haibo Author-X-Name-Last: Jiang Author-Name: Jianjiang Yu Author-X-Name-First: Jianjiang Author-X-Name-Last: Yu Author-Name: Caigen Zhou Author-X-Name-First: Caigen Author-X-Name-Last: Zhou Title: Consensus of multi-agent linear dynamic systems impulsive control protocols Abstract: In this article, we introduce impulsive control protocols for multi-agent linear dynamic systems. First, an impulsive control protocol is designed for network with fixed topology based on the local information of agents. Then sufficient conditions are given to guarantee the consensus of the multi-agent linear dynamic systems by the theory of impulsive systems. Furthermore, how to select the discrete instants and impulsive matrices is discussed. The case that the topologies of networks are switching is also considered. Numerical simulations show the effectiveness of our theoretical results. Journal: International Journal of Systems Science Pages: 967-976 Issue: 6 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903267866 File-URL: http://hdl.handle.net/10.1080/00207720903267866 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:6:p:967-976 Template-Type: ReDIF-Article 1.0 Author-Name: Zeinab Ramezani Author-X-Name-First: Zeinab Author-X-Name-Last: Ramezani Author-Name: Abbas Parchami Author-X-Name-First: Abbas Author-X-Name-Last: Parchami Author-Name: Mashaallah Mashinchi Author-X-Name-First: Mashaallah Author-X-Name-Last: Mashinchi Title: Fuzzy confidence regions for the Taguchi capability index Abstract: Most of the traditional methods for assessing the capability of manufacturing processes are dealing with crisp quality. In quality control, such as other statistical problems, we may confront imprecise concepts. One case is a situation in which specification limits (SLs) are imprecise. In this situation, the fuzzy process capability indices (PCIs) , and are necessary for measuring the fuzzy quality in an in-control process. These fuzzy capability indices are also helpful for comparing manufacturing processes with SLs. The fuzzy capability index is used to provide an assessment of the ability of the fuzzy process to be clustered around the target value. The emphasis on the use of over the other two fuzzy indices, and , is due to its definition that provides indications of both the process variability and deviation of process mean from a specified target. In this article, by using triangular fuzzy SLs, we present four approximate fuzzy confidence regions for the fuzzy PCI . A numerical example is given to show the performance of the method. Journal: International Journal of Systems Science Pages: 977-987 Issue: 6 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903267890 File-URL: http://hdl.handle.net/10.1080/00207720903267890 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:6:p:977-987 Template-Type: ReDIF-Article 1.0 Author-Name: Xiao-Dong Li Author-X-Name-First: Xiao-Dong Author-X-Name-Last: Li Author-Name: John K.L. Ho Author-X-Name-First: John K.L. Author-X-Name-Last: Ho Title: Further results on iterative learning control with convergence conditions for linear time-variant discrete systems Abstract: This article is concerned with some further results on iterative learning control (ILC) algorithms with convergence conditions for linear time-variant discrete systems. By converting two-Dimensional (2-D) ILC process of the linear time-variant discrete systems into 1-D linear time-invariant discrete systems, this article presents convergent ILC algorithms with necessary and sufficient conditions for two classes of linear time-variant discrete systems. Main results in (Li, X.-D., Ho, J.K.L., and Chow, T.W.S. (2005), ‘Iterative Learning Control for Linear Time-variant Discrete Systems Based on 2-D System Theory’, IEE Proceedings, Control Theory and Applications, 152, 13–18 and Huang, S.N., Tan, K.K., and Lee, T.H. (2002), ‘Necessary and Sufficient Condition for Convergence of Iterative Learning Algorithm’, Automatica 38, 1257–1260) are extended and generalised. Journal: International Journal of Systems Science Pages: 989-996 Issue: 6 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903282931 File-URL: http://hdl.handle.net/10.1080/00207720903282931 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:6:p:989-996 Template-Type: ReDIF-Article 1.0 Author-Name: Likui Wang Author-X-Name-First: Likui Author-X-Name-Last: Wang Author-Name: Xiaodong Liu Author-X-Name-First: Xiaodong Author-X-Name-Last: Liu Title: Parameter-varying state feedback control for discrete-time polytopic systems Abstract: This article provides sufficient stability conditions for time-varying discrete-time polytopic systems along with H∞ performance optimisation. First, the homogeneous polynomially parameter-dependent matrix function (HPP-DMF for abbreviation) is introduced. Then, based on the HPP-DMF, new parameter-varying state feedback controller and Lyapunov functions are designed. By applying the controller and Lyapunov functions, some new conditions, which are expressed in terms of linear matrix inequalities (LMIs) and admit more freedom in guaranteeing the stability of closed-loop systems, are obtained. In addition, it is shown that as the degree increases the conditions become less conservative. Although the number of LMIs increases, each LMI is simple and easy to be fulfilled. Furthermore, the determination of guaranteed disturbance attenuation is addressed. Finally, two examples are given to demonstrate the applicability of the proposed approach. Journal: International Journal of Systems Science Pages: 997-1005 Issue: 6 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903282949 File-URL: http://hdl.handle.net/10.1080/00207720903282949 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:6:p:997-1005 Template-Type: ReDIF-Article 1.0 Author-Name: Sheng-Ping Li Author-X-Name-First: Sheng-Ping Author-X-Name-Last: Li Title: Robust adaptive control of uncertain systems with guaranteed robust stability and asymptotic performance Abstract: This article presents a robust adaptive control scheme for a discrete-time plant that is subjected to both coprime factor perturbations and unknown exogenous disturbances. With the proposed control scheme, all the variables in the closed-loop system are bounded in the presence of the perturbations and disturbances, and an a priori computable upper bound on the size of the nonparametric dynamical uncertainty, for which stability is ensured, is provided. Moreover, one can guarantee a priori bound on the asymptotic performance of the overall adaptive system which is arbitrarily close to that of the corresponding nonadaptive control system. In addition, it is shown that the ℓ1 optimal robust controller design is continuous as a map from the plant to the optimal closed-loop solution. Furthermore, if the set of plants is compact, then the ℓ1 optimal robust controller design is uniformly continuous on the set of plants. These properties are necessary for analysing the interplay between identification and control in the overall adaptive system. Journal: International Journal of Systems Science Pages: 1007-1022 Issue: 6 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903282956 File-URL: http://hdl.handle.net/10.1080/00207720903282956 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:6:p:1007-1022 Template-Type: ReDIF-Article 1.0 Author-Name: Tamás Schné Author-X-Name-First: Tamás Author-X-Name-Last: Schné Author-Name: Katalin Mária Hangos Author-X-Name-First: Katalin Mária Author-X-Name-Last: Hangos Title: Decentralised controller structure design and retrofit of process systems based on graph theory Abstract: A relative degree matrix-based design method is proposed in this article by using graph theoretical methods for optimal control structure design consisting of single input–single output control loops. This approach enables us to use an efficient algorithm for finding a maximum weighted matching to solve the controller structure selection problem. The resulting optimal structures have been refined by analysing the zero dynamics of the input–output pairs. A novel method for decentralised controller structure retrofit is also proposed in this article. A graph theoretic algorithm is developed, which is based on finding the closest weighted maximum matching. Possible changes in efficiency in the controller structure, which may arise after retrofit, are illustrated using a heat exchanger network retrofit case study. Journal: International Journal of Systems Science Pages: 1023-1033 Issue: 6 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903282964 File-URL: http://hdl.handle.net/10.1080/00207720903282964 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:6:p:1023-1033 Template-Type: ReDIF-Article 1.0 Author-Name: Geert Jan Olsder Author-X-Name-First: Geert Jan Author-X-Name-Last: Olsder Title: On the existence of periodic behaviour of switched linear systems Abstract: A generalised implicit function theorem is used to show the existence of periodic solutions of switched linear systems with inhomogeneous terms (a subclass of hybrid systems) around an operating (compare: equilibrium) point. If the period concerned is small, the solutions ‘move around’ such an operating point. These points cannot generally be achieved by the individual linear systems. A central question to be answered is: which operating points are possible? Another question answered is what the asymptotic behaviour of the solutions near such an operating point look like (as a function of the period). For some specific cases, for instance when the systems only differ in the inhomogeneous terms, special results are obtained. The implicit function theorem used makes use of expansions in formal power series. Journal: International Journal of Systems Science Pages: 1035-1045 Issue: 6 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903282972 File-URL: http://hdl.handle.net/10.1080/00207720903282972 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:6:p:1035-1045 Template-Type: ReDIF-Article 1.0 Author-Name: Zhanwen Ding Author-X-Name-First: Zhanwen Author-X-Name-Last: Ding Author-Name: Qinglan Hang Author-X-Name-First: Qinglan Author-X-Name-Last: Hang Author-Name: Honglin Yang Author-X-Name-First: Honglin Author-X-Name-Last: Yang Title: Analysis of the dynamics of multi-team Bertrand game with heterogeneous players Abstract: In this article, we study the dynamics of a two-team Bertrand game with players having heterogeneous expectations. We study the equilibrium solutions and the conditions of their locally asymptotic stability. Numerical simulations are used to illustrate the complex behaviours of the proposed model of the Bertrand game. We demonstrate that some parameters of the model have great influence on the stability of Nash equilibrium and on the speed of convergence to Nash equilibrium. The chaotic behaviour of the model has been controlled by using feedback control method. Journal: International Journal of Systems Science Pages: 1047-1056 Issue: 6 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903296022 File-URL: http://hdl.handle.net/10.1080/00207720903296022 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:6:p:1047-1056 Template-Type: ReDIF-Article 1.0 Author-Name: Chen Hui Author-X-Name-First: Chen Author-X-Name-Last: Hui Author-Name: Zhou Chunjie Author-X-Name-First: Zhou Author-X-Name-Last: Chunjie Author-Name: Zhu Weifeng Author-X-Name-First: Zhu Author-X-Name-Last: Weifeng Title: Modelling the protocol stack in NCS with deterministic and stochastic petri net Abstract: Protocol stack is the basis of the networked control systems (NCS). Full or partial reconfiguration of protocol stack offers both optimised communication service and system performance. Nowadays, field testing is unrealistic to determine the performance of reconfigurable protocol stack; and the Petri net formal description technique offers the best combination of intuitive representation, tool support and analytical capabilities. Traditionally, separation between the different layers of the OSI model has been a common practice. Nevertheless, such a layered modelling analysis framework of protocol stack leads to the lack of global optimisation for protocol reconfiguration. In this article, we proposed a general modelling analysis framework for NCS based on the cross-layer concept, which is to establish an efficiency system scheduling model through abstracting the time constraint, the task interrelation, the processor and the bus sub-models from upper and lower layers (application, data link and physical layer). Cross-layer design can help to overcome the inadequacy of global optimisation based on information sharing between protocol layers. To illustrate the framework, we take controller area network (CAN) as a case study. The simulation results of deterministic and stochastic Petri-net (DSPN) model can help us adjust the message scheduling scheme and obtain better system performance. Journal: International Journal of Systems Science Pages: 1057-1064 Issue: 6 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903308355 File-URL: http://hdl.handle.net/10.1080/00207720903308355 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:6:p:1057-1064 Template-Type: ReDIF-Article 1.0 Author-Name: Hansheng Wu Author-X-Name-First: Hansheng Author-X-Name-Last: Wu Title: Decentralised adaptive robust control of uncertain large-scale interconnected systems with multiple time-varying delays Abstract: The problem of decentralised adaptive robust stabilisation is considered for a class of uncertain large-scale time-delay interconnected dynamical systems. It is assumed that the upper bounds of the uncertainties, interconnection terms and external disturbances are unknown, and that the time-varying delays are any nonnegative continuous and bounded functions, and do not require that their derivatives have to be less than one. For such a class of uncertain large-scale time-delay interconnected systems, a new method is presented whereby a class of continuous memoryless decentralised local adaptive robust state feedback controllers is proposed. It is also shown that the solutions of uncertain large-scale time-delay interconnected systems can be guaranteed to be uniformly exponentially convergent towards a ball which can be as small as desired. In addition, since the proposed decentralised local adaptive robust state feedback controllers are completely independent of time delays, the results obtained in this article may also be applicable to a class of large-scale interconnected dynamical systems with uncertain time delays. Finally, a numerical example is given to demonstrate the validity of the results. Journal: International Journal of Systems Science Pages: 1842-1854 Issue: 10 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.554914 File-URL: http://hdl.handle.net/10.1080/00207721.2011.554914 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:10:p:1842-1854 Template-Type: ReDIF-Article 1.0 Author-Name: Ching-Hung Lee Author-X-Name-First: Ching-Hung Author-X-Name-Last: Lee Author-Name: Bo-Ren Chung Author-X-Name-First: Bo-Ren Author-X-Name-Last: Chung Title: Adaptive backstepping controller design for nonlinear uncertain systems using fuzzy neural systems Abstract: In this article, we propose an adaptive backstepping control scheme using fuzzy neural networks (FNNs), ABCFNN, for a class of nonlinear non-affine systems in non-triangular form. The nonlinear non-affine system contains the uncertainty, external disturbance or parameters variations. Two kinds of FNN systems are used to estimate the unknown system functions. According to the FNN estimations, the adaptive backstepping control (ABCFNN) signal can be generated by backstepping design procedure such that the system output follows the desired trajectory. To ensure robustness and performance, a proportional-integral-surface function and robust controller are designed to improve the control performance. Based on the Lyapunov stability theory, the stability of a closed-loop system is guaranteed and the adaptive laws of the FNN parameters are obtained. This approach is also valid for nonlinear affine system with uncertainty or disturbance. The uncertainty and disturbance terms are estimated by FNNs and treated by the ABCFNN scheme. Finally, the effectiveness of the proposed ABCFNN is demonstrated through the simulation of controlling a nonlinear non-affine system and the continuously stirred tank reactor plant to demonstrate the performances of our approach. Journal: International Journal of Systems Science Pages: 1855-1869 Issue: 10 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.554915 File-URL: http://hdl.handle.net/10.1080/00207721.2011.554915 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:10:p:1855-1869 Template-Type: ReDIF-Article 1.0 Author-Name: Gede Agus Widyadana Author-X-Name-First: Gede Agus Author-X-Name-Last: Widyadana Author-Name: Hui Ming Wee Author-X-Name-First: Hui Ming Author-X-Name-Last: Wee Title: An economic production quantity model for deteriorating items with preventive maintenance policy and random machine breakdown Abstract: In recent years, many researches on economic production quantity (EPQ) models with machine breakdown and preventive maintenance have been developed, but few of them have developed integrated models for deteriorating items. In this study, we develop EPQ models for deteriorating items with preventive maintenance, random machine breakdown and immediate corrective action. Corrective and preventive maintenance times are assumed to be stochastic and the unfulfilled demands are lost sales. Two EPQ models of uniform distribution and exponential distribution of corrective and maintenance times are developed. An example and sensitivity analysis is given to illustrate the models. For the exponential distribution model, it is shown that the corrective time parameter is one of the most sensitive parameters to the optimal total cost. Journal: International Journal of Systems Science Pages: 1870-1882 Issue: 10 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.555009 File-URL: http://hdl.handle.net/10.1080/00207721.2011.555009 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:10:p:1870-1882 Template-Type: ReDIF-Article 1.0 Author-Name: Qiulin Guo Author-X-Name-First: Qiulin Author-X-Name-Last: Guo Author-Name: Jianzhong Li Author-X-Name-First: Jianzhong Author-X-Name-Last: Li Author-Name: Caineng Zou Author-X-Name-First: Caineng Author-X-Name-Last: Zou Author-Name: Yujuan Guo Author-X-Name-First: Yujuan Author-X-Name-Last: Guo Author-Name: Wei Yan Author-X-Name-First: Wei Author-X-Name-Last: Yan Title: A class of multi-period semi-variance portfolio for petroleum exploration and development Abstract: Variance is substituted by semi-variance in Markowitz's portfolio selection model. For dynamic valuation on exploration and development projects, one period portfolio selection is extended to multi-period. In this article, a class of multi-period semi-variance exploration and development portfolio model is formulated originally. Besides, a hybrid genetic algorithm, which makes use of the position displacement strategy of the particle swarm optimiser as a mutation operation, is applied to solve the multi-period semi-variance model. For this class of portfolio model, numerical results show that the mode is effective and feasible. Journal: International Journal of Systems Science Pages: 1883-1890 Issue: 10 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.555011 File-URL: http://hdl.handle.net/10.1080/00207721.2011.555011 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:10:p:1883-1890 Template-Type: ReDIF-Article 1.0 Author-Name: Jinyoung Lee Author-X-Name-First: Jinyoung Author-X-Name-Last: Lee Author-Name: Jung-Su Kim Author-X-Name-First: Jung-Su Author-X-Name-Last: Kim Author-Name: Hyungbo Shim Author-X-Name-First: Hyungbo Author-X-Name-Last: Shim Title: Disc margins of the discrete-time LQR and its application to consensus problem Abstract: This article presents a complex gain margin of discrete-time linear quadratic regulator (DLQR) and its application to a consensus problem of multi-agent higher order linear systems. Since the consensus problem can be converted into a robust control problem with perturbation expressed by complex numbers, and since the classical gain and phase margins are not enough to handle the current case, we study the so-called ‘disc margin’ which is somehow a combination of gain and phase margins. We first compute the disc margin of DLQR controller based on a Lyapunov argument, which is simple but yields a relaxed result over those previously reported in the literature. Then, it is shown that the disc margin can be enlarged arbitrarily when the system is asymptotically null controllable with bounded controls and when a low-gain feedback is employed. Based on this fact, the discrete-time consensus problem is solved by a DLQR-based consensus controller. Simulation study shows that the DLQR-based consensus controller has better robustness property against model uncertainties in the input channel. Journal: International Journal of Systems Science Pages: 1891-1900 Issue: 10 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.555012 File-URL: http://hdl.handle.net/10.1080/00207721.2011.555012 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:10:p:1891-1900 Template-Type: ReDIF-Article 1.0 Author-Name: Ming Liu Author-X-Name-First: Ming Author-X-Name-Last: Liu Author-Name: Jia You Author-X-Name-First: Jia Author-X-Name-Last: You Title: Observer-based controller design for networked control systems with sensor quantisation and random communication delay Abstract: This article addresses the study of observer-based controller design for network-based control systems in the presence of output quantisation and random communication delay simultaneously. In the communication channel, the output measurement are quantised before transmission, and two kinds of network-induced delays are taken into account simultaneously: (i) random delay from sensor to controller and (ii) random delay from controller to actuator. These two types of random delays are modelled as two independent Bernoulli distributed white sequences. The observer-based controller is synthesised to stabilise the networked closed-loop system in the sense of stochastic stability. Sufficient conditions for the existence of the controller are provided by stochastic Lyapunov method. An illustrative numerical example is employed to demonstrate the applicability and flexibility of the proposed design strategy. Journal: International Journal of Systems Science Pages: 1901-1912 Issue: 10 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.555013 File-URL: http://hdl.handle.net/10.1080/00207721.2011.555013 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:10:p:1901-1912 Template-Type: ReDIF-Article 1.0 Author-Name: Vladimir Popovic Author-X-Name-First: Vladimir Author-X-Name-Last: Popovic Author-Name: Branko Vasic Author-X-Name-First: Branko Author-X-Name-Last: Vasic Author-Name: Branislav Rakicevic Author-X-Name-First: Branislav Author-X-Name-Last: Rakicevic Author-Name: Goran Vorotovic Author-X-Name-First: Goran Author-X-Name-Last: Vorotovic Title: Optimisation of maintenance concept choice using risk-decision factor – a case study Abstract: The design of maintenance system and the corresponding logistic support is a very complex process, during which the aim is to find the compromise solutions regarding the relations among different maintenance procedures and the ways of their implementation. As a result of this, various solutions can be adopted, since this is conditioned by a series of important factors and criteria, which can be contradictory sometimes. There are different perspectives on ways of solving practical maintenance problems, that is dilemmas when it comes to the choice of maintenance concept. The principal dilemma is how and when to decide on carrying out maintenance procedures. Should the decision be based on theoretical grounds or experience, how does one reconcile those two extremes, who is to decide upon this? In this article we have offered one, basically new solution as a possibility for maintenance concept choice, based on a significant modification of the widely used failure modes and effects analysis (FMEA) method. This solution is risk-decision factor (RDF). This is a result of seven parameters (of different importance and weight) that have the key impact on the process of production and logistic support. The application of this factor is illustrated by the example of planning, organisation and functioning of the maintenance system applied in The Institute for Manufacturing Banknotes and Coins (ZIN) in Belgrade. Journal: International Journal of Systems Science Pages: 1913-1926 Issue: 10 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.563868 File-URL: http://hdl.handle.net/10.1080/00207721.2011.563868 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:10:p:1913-1926 Template-Type: ReDIF-Article 1.0 Author-Name: Wen-Chuan Lee Author-X-Name-First: Wen-Chuan Author-X-Name-Last: Lee Author-Name: Jong-Wuu Wu Author-X-Name-First: Jong-Wuu Author-X-Name-Last: Wu Author-Name: Hsin-Hui Tsou Author-X-Name-First: Hsin-Hui Author-X-Name-Last: Tsou Author-Name: Chia-Ling Lei Author-X-Name-First: Chia-Ling Author-X-Name-Last: Lei Title: Computational procedure of optimal inventory model involving controllable backorder rate and variable lead time with defective units Abstract: This article considers that the number of defective units in an arrival order is a binominal random variable. We derive a modified mixture inventory model with backorders and lost sales, in which the order quantity and lead time are decision variables. In our studies, we also assume that the backorder rate is dependent on the length of lead time through the amount of shortages and let the backorder rate be a control variable. In addition, we assume that the lead time demand follows a mixture of normal distributions, and then relax the assumption about the form of the mixture of distribution functions of the lead time demand and apply the minimax distribution free procedure to solve the problem. Furthermore, we develop an algorithm procedure to obtain the optimal ordering strategy for each case. Finally, three numerical examples are also given to illustrate the results. Journal: International Journal of Systems Science Pages: 1927-1942 Issue: 10 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.563869 File-URL: http://hdl.handle.net/10.1080/00207721.2011.563869 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:10:p:1927-1942 Template-Type: ReDIF-Article 1.0 Author-Name: Mario Lefebvre Author-X-Name-First: Mario Author-X-Name-Last: Lefebvre Author-Name: Djilali Ait Aoudia Author-X-Name-First: Djilali Author-X-Name-Last: Ait Aoudia Title: Two-dimensional diffusion processes as models in lifetime studies Abstract: Let X(t) denote the remaining useful lifetime of a machine, and Y(t) be a standard Brownian motion. Assume that the derivative ρ[X(t), Y(t)] of X(t) is a deterministic function of (at least) Y(t). We consider the two-dimensional degenerate diffusion process (X(t), Y(t)). We obtain explicit expressions for the expected value of the random variable T(x, y) denoting the first time the machine must be replaced, or repaired, for various functions ρ[X(t), Y(t)]. Journal: International Journal of Systems Science Pages: 1943-1949 Issue: 10 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.563870 File-URL: http://hdl.handle.net/10.1080/00207721.2011.563870 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:10:p:1943-1949 Template-Type: ReDIF-Article 1.0 Author-Name: Xinjin Liu Author-X-Name-First: Xinjin Author-X-Name-Last: Liu Author-Name: Yun Zou Author-X-Name-First: Yun Author-X-Name-Last: Zou Title: Stability analysis for a special class of dynamical networks Abstract: In this article, stability analysis and decentralised control problems are studied for a special class of linear dynamical networks. Necessary and sufficient conditions for stability and stabilisability under a decentralised control strategy are given for this type of linear networks. Especially, two types of linear regular networks, star-shaped networks and globally coupled networks, are studied in detail, respectively. A dynamical network can be viewed as a large-scale system composed of some subsystems with some coupling structures, based on this, the relationship between the stability of a network and the stability of its corresponding subsystems is studied. Different from the discussions that the subsystems in networks vary with different coupling structures (Duan, Z.S., Wang, J.Z., Chen, G.R., and Huang, L. (2008), ‘Stability Analysis and Decentralised Control of a Class of Complex Dynamical Networks’, Automatica, 44, 1028–1035), the subsystems in network discussed in this article remain unchanged with different interconnections which is the same as in general large-scale system. It is also pointed out that some subsystems must be made unstable for the whole network to be stable in some special cases. Moreover, the controller design method based on parameter-dependent Lyapunov function is provided. Journal: International Journal of Systems Science Pages: 1950-1957 Issue: 10 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.563871 File-URL: http://hdl.handle.net/10.1080/00207721.2011.563871 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:10:p:1950-1957 Template-Type: ReDIF-Article 1.0 Author-Name: Ke Zhang Author-X-Name-First: Ke Author-X-Name-Last: Zhang Author-Name: Bin Jiang Author-X-Name-First: Bin Author-X-Name-Last: Jiang Author-Name: Marcel Staroswiecki Author-X-Name-First: Marcel Author-X-Name-Last: Staroswiecki Title: Analysis and design of robust estimation filter for a class of continuous-time nonlinear systems Abstract: This article addresses the design of a multiconstrained robust estimation filter (MREF) for a class of continuous-time nonlinear systems in the presence of input and output disturbances. By constructing an augmented system, the MREF achieves the estimation of both states and faults, under existence conditions that are less restrictive than those associated with existing adaptive fault diagnosis observer (AFDO) and sliding mode observer design. Moreover, a detailed discussion on and comparison with the AFDO design are given. Furthermore, by introducing slack variables, improved results on MREF design are obtained such that different Lyapunov functions can be separately designed for multiple constraints. Simulation results are presented to illustrate our contributions. Journal: International Journal of Systems Science Pages: 1958-1968 Issue: 10 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.563873 File-URL: http://hdl.handle.net/10.1080/00207721.2011.563873 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:10:p:1958-1968 Template-Type: ReDIF-Article 1.0 Author-Name: Diego Eckhard Author-X-Name-First: Diego Author-X-Name-Last: Eckhard Author-Name: Alexandre Bazanella Author-X-Name-First: Alexandre Author-X-Name-Last: Bazanella Title: Robust convergence of the steepest descent method for data-based control Abstract: Iterative data-based controller tuning consists of iterative adjustment of the controller parameters towards the parameter values which minimise an H2 performance criterion. The convergence to the global minimum of the performance criterion depends on the initial controller parameters and on the step size of each iteration. This article presents convergence properties of iterative algorithms when they are affected by disturbances. Journal: International Journal of Systems Science Pages: 1969-1975 Issue: 10 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.563874 File-URL: http://hdl.handle.net/10.1080/00207721.2011.563874 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:10:p:1969-1975 Template-Type: ReDIF-Article 1.0 Author-Name: X. Hong Author-X-Name-First: X. Author-X-Name-Last: Hong Author-Name: R.J. Mitchell Author-X-Name-First: R.J. Author-X-Name-Last: Mitchell Author-Name: S. Chen Author-X-Name-First: S. Author-X-Name-Last: Chen Title: Modelling and control of Hammerstein system using B-spline approximation and the inverse of De Boor algorithm Abstract: In this article a simple and effective controller design is introduced for the Hammerstein systems that are identified based on observational input/output data. The nonlinear static function in the Hammerstein system is modelled using a B-spline neural network. The controller is composed by computing the inverse of the B-spline approximated nonlinear static function, and a linear pole assignment controller. The contribution of this article is the inverse of De Boor algorithm that computes the inverse efficiently. Mathematical analysis is provided to prove the convergence of the proposed algorithm. Numerical examples are utilised to demonstrate the efficacy of the proposed approach. Journal: International Journal of Systems Science Pages: 1976-1984 Issue: 10 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.564320 File-URL: http://hdl.handle.net/10.1080/00207721.2011.564320 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:10:p:1976-1984 Template-Type: ReDIF-Article 1.0 Author-Name: K. Michail Author-X-Name-First: K. Author-X-Name-Last: Michail Author-Name: A.C. Zolotas Author-X-Name-First: A.C. Author-X-Name-Last: Zolotas Author-Name: R.M. Goodall Author-X-Name-First: R.M. Author-X-Name-Last: Goodall Author-Name: J.F. Whidborne Author-X-Name-First: J.F. Author-X-Name-Last: Whidborne Title: Optimised configuration of sensors for fault tolerant control of an electro-magnetic suspension system Abstract: For any given system the number and location of sensors can affect the closed-loop performance as well as the reliability of the system. Hence, one problem in control system design is the selection of the sensors in some optimum sense that considers both the system performance and reliability. Although some methods have been proposed that deal with some of the aforementioned aspects, in this work, a design framework dealing with both control and reliability aspects is presented. The proposed framework is able to identify the best sensor set for which optimum performance is achieved even under single or multiple sensor failures with minimum sensor redundancy. The proposed systematic framework combines linear quadratic Gaussian control, fault tolerant control and multiobjective optimisation. The efficacy of the proposed framework is shown via appropriate simulations on an electro-magnetic suspension system. Journal: International Journal of Systems Science Pages: 1785-1804 Issue: 10 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.598959 File-URL: http://hdl.handle.net/10.1080/00207721.2011.598959 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:10:p:1785-1804 Template-Type: ReDIF-Article 1.0 Author-Name: Jiazhen He Author-X-Name-First: Jiazhen Author-X-Name-Last: He Author-Name: Yang Zhang Author-X-Name-First: Yang Author-X-Name-Last: Zhang Author-Name: Xue Li Author-X-Name-First: Xue Author-X-Name-Last: Li Author-Name: Peng Shi Author-X-Name-First: Peng Author-X-Name-Last: Shi Title: Learning naive Bayes classifiers from positive and unlabelled examples with uncertainty Abstract: Traditional classification algorithms require a large number of labelled examples from all the predefined classes, which is generally difficult and time-consuming to obtain. Furthermore, data uncertainty is prevalent in many real-world applications, such as sensor network, market analysis and medical diagnosis. In this article, we explore the issue of classification on uncertain data when only positive and unlabelled examples are available. We propose an algorithm to build naive Bayes classifier from positive and unlabelled examples with uncertainty. However, the algorithm requires the prior probability of positive class, and it is generally difficult for the user to provide this parameter in practice. Two approaches are proposed to avoid this user-specified parameter. One approach is to use a validation set to search for an appropriate value for this parameter, and the other is to estimate it directly. Our extensive experiments show that the two approaches can basically achieve satisfactory classification performance on uncertain data. In addition, our algorithm exploiting uncertainty in the dataset can potentially achieve better classification performance comparing to traditional naive Bayes which ignores uncertainty when handling uncertain data. Journal: International Journal of Systems Science Pages: 1805-1825 Issue: 10 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.627475 File-URL: http://hdl.handle.net/10.1080/00207721.2011.627475 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:10:p:1805-1825 Template-Type: ReDIF-Article 1.0 Author-Name: Matthias Roth Author-X-Name-First: Matthias Author-X-Name-Last: Roth Author-Name: Stefan Schneider Author-X-Name-First: Stefan Author-X-Name-Last: Schneider Author-Name: Jean-Jacques Lesage Author-X-Name-First: Jean-Jacques Author-X-Name-Last: Lesage Author-Name: Lothar Litz Author-X-Name-First: Lothar Author-X-Name-Last: Litz Title: Fault detection and isolation in manufacturing systems with an identified discrete event model Abstract: In this article a generic method for fault detection and isolation (FDI) in manufacturing systems considered as discrete event systems (DES) is presented. The method uses an identified model of the closed-loop of plant and controller built on the basis of observed fault-free system behaviour. An identification algorithm known from literature is used to determine the fault detection model in form of a non-deterministic automaton. New results of how to parameterise this algorithm are reported. To assess the fault detection capability of an identified automaton, probabilistic measures are proposed. For fault isolation, the concept of residuals adapted for DES is used by defining appropriate set operations representing generic fault symptoms. The method is applied to a case study system. Journal: International Journal of Systems Science Pages: 1826-1841 Issue: 10 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.649369 File-URL: http://hdl.handle.net/10.1080/00207721.2011.649369 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:10:p:1826-1841 Template-Type: ReDIF-Article 1.0 Author-Name: Luyi Li Author-X-Name-First: Luyi Author-X-Name-Last: Li Author-Name: Zhenzhou Lu Author-X-Name-First: Zhenzhou Author-X-Name-Last: Lu Title: A new algorithm for importance analysis of the inputs with distribution parameter uncertainty Abstract: Importance analysis is aimed at finding the contributions by the inputs to the uncertainty in a model output. For structural systems involving inputs with distribution parameter uncertainty, the contributions by the inputs to the output uncertainty are governed by both the variability and parameter uncertainty in their probability distributions. A natural and consistent way to arrive at importance analysis results in such cases would be a three-loop nested Monte Carlo (MC) sampling strategy, in which the parameters are sampled in the outer loop and the inputs are sampled in the inner nested double-loop. However, the computational effort of this procedure is often prohibitive for engineering problem. This paper, therefore, proposes a newly efficient algorithm for importance analysis of the inputs in the presence of parameter uncertainty. By introducing a ‘surrogate sampling probability density function (SS-PDF)’ and incorporating the single-loop MC theory into the computation, the proposed algorithm can reduce the original three-loop nested MC computation into a single-loop one in terms of model evaluation, which requires substantially less computational effort. Methods for choosing proper SS-PDF are also discussed in the paper. The efficiency and robustness of the proposed algorithm have been demonstrated by results of several examples. Journal: International Journal of Systems Science Pages: 3065-3077 Issue: 13 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1088099 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1088099 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:13:p:3065-3077 Template-Type: ReDIF-Article 1.0 Author-Name: Arnab Maity Author-X-Name-First: Arnab Author-X-Name-Last: Maity Author-Name: Radhakant Padhi Author-X-Name-First: Radhakant Author-X-Name-Last: Padhi Author-Name: Sanjeev Mallaram Author-X-Name-First: Sanjeev Author-X-Name-Last: Mallaram Author-Name: G. Mallikarjuna Rao Author-X-Name-First: G. Mallikarjuna Author-X-Name-Last: Rao Author-Name: M. Manickavasagam Author-X-Name-First: M. Author-X-Name-Last: Manickavasagam Title: A robust and high precision optimal explicit guidance scheme for solid motor propelled launch vehicles with thrust and drag uncertainty Abstract: A new nonlinear optimal and explicit guidance law is presented in this paper for launch vehicles propelled by solid motors. It can ensure very high terminal precision despite not having the exact knowledge of the thrust–time curve apriori. This was motivated from using it for a carrier launch vehicle in a hypersonic mission, which demands an extremely narrow terminal accuracy window for the launch vehicle for successful initiation of operation of the hypersonic vehicle. The proposed explicit guidance scheme, which computes the optimal guidance command online, ensures the required stringent final conditions with high precision at the injection point. A key feature of the proposed guidance law is an innovative extension of the recently developed model predictive static programming guidance with flexible final time. A penalty function approach is also followed to meet the input and output inequality constraints throughout the vehicle trajectory. In this paper, the guidance law has been successfully validated from nonlinear six degree-of-freedom simulation studies by designing an inner-loop autopilot as well, which enhances confidence of its usefulness significantly. In addition to excellent nominal results, the proposed guidance has been found to have good robustness for perturbed cases as well. Journal: International Journal of Systems Science Pages: 3078-3097 Issue: 13 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1088100 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1088100 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:13:p:3078-3097 Template-Type: ReDIF-Article 1.0 Author-Name: Fuqiang Li Author-X-Name-First: Fuqiang Author-X-Name-Last: Li Author-Name: Jingqi Fu Author-X-Name-First: Jingqi Author-X-Name-Last: Fu Author-Name: Dajun Du Author-X-Name-First: Dajun Author-X-Name-Last: Du Title: A novel decentralised event-triggered control for network control systems with communication delays Abstract: This paper studies a novel decentralised event-triggered L∞$\mathcal {L}_\infty$ control for network control systems with communication delays and external disturbances. To overcome the drawbacks that the relative event-triggered mechanism (ETM) generates many events when system is close to the origin and the absolute ETM produces many events when system is far away from the origin, a novel decentralised sampled-data-based ETM is first proposed. By using both local state-dependent and state-independent information, the decentralised ETM can effectively reduce network loads in each channel during the whole operation time. Then, a novel general system model with parameters of the decentralised ETM, communication delays and external disturbances is presented, and sufficient conditions for the ultimately bounded stability and asymptotic stability of the closed-loop system are obtained. Specially, the quantitative relationship between the boundness of the stability region and the parameters of the decentralised ETM is established. Moreover, to overcome the inconvenience of the two-step design method that controllers are required to be given a priori, a co-design scheme is presented to design the decentralised event generators and the output-based controller simultaneously. Finally, numerical examples confirm the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 3098-3115 Issue: 13 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1089451 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1089451 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:13:p:3098-3115 Template-Type: ReDIF-Article 1.0 Author-Name: Hongwen Ma Author-X-Name-First: Hongwen Author-X-Name-Last: Ma Author-Name: Derong Liu Author-X-Name-First: Derong Author-X-Name-Last: Liu Author-Name: Ding Wang Author-X-Name-First: Ding Author-X-Name-Last: Wang Author-Name: Biao Luo Author-X-Name-First: Biao Author-X-Name-Last: Luo Title: Bipartite output consensus in networked multi-agent systems of high-order power integrators with signed digraph and input noises Abstract: In this paper, we concentrate on investigating bipartite output consensus in networked multi-agent systems of high-order power integrators. Systems with power integrator are ubiquitous among weakly coupled, unstable and underactuated mechanical systems. In the presence of input noises, an adaptive disturbance compensator and a technique of adding power integrator are introduced to the complex nonlinear multi-agent systems to reduce the deterioration of system performance. Additionally, due to the existence of negative communication weights among agents, whether bipartite output consensus of high-order power integrators can be achieved remains unknown. Therefore, it is of great importance to study this issue. The underlying idea of designing the distributed controller is to combine the output information of each agent itself and its neighbours, the state feedback within its internal system and input adaptive noise compensator all together. When the signed digraph is structurally balanced, bipartite output consensus can be reached. Finally, numerical simulations are provided to verify the validity of the developed criteria. Journal: International Journal of Systems Science Pages: 3116-3131 Issue: 13 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1090039 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1090039 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:13:p:3116-3131 Template-Type: ReDIF-Article 1.0 Author-Name: Yue-he Zhu Author-X-Name-First: Yue-he Author-X-Name-Last: Zhu Author-Name: Ya-zhong Luo Author-X-Name-First: Ya-zhong Author-X-Name-Last: Luo Title: Multi-objective optimisation and decision-making of space station logistics strategies Abstract: Space station logistics strategy optimisation is a complex engineering problem with multiple objectives. Finding a decision-maker-preferred compromise solution becomes more significant when solving such a problem. However, the designer-preferred solution is not easy to determine using the traditional method. Thus, a hybrid approach that combines the multi-objective evolutionary algorithm, physical programming, and differential evolution (DE) algorithm is proposed to deal with the optimisation and decision-making of space station logistics strategies. A multi-objective evolutionary algorithm is used to acquire a Pareto frontier and help determine the range parameters of the physical programming. Physical programming is employed to convert the four-objective problem into a single-objective problem, and a DE algorithm is applied to solve the resulting physical programming-based optimisation problem. Five kinds of objective preference are simulated and compared. The simulation results indicate that the proposed approach can produce good compromise solutions corresponding to different decision-makers’ preferences. Journal: International Journal of Systems Science Pages: 3132-3148 Issue: 13 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1091898 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1091898 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:13:p:3132-3148 Template-Type: ReDIF-Article 1.0 Author-Name: Feng-Hsiag Hsiao Author-X-Name-First: Feng-Hsiag Author-X-Name-Last: Hsiao Title: A neural-network-based exponential synchronisation for chaotic secure communication via improved genetic algorithm Abstract: In this study, a novel approach via improved genetic algorithm (IGA)-based fuzzy observer is proposed to realise exponential optimal H∞ synchronisation and secure communication in multiple time-delay chaotic (MTDC) systems. First, an original message is inserted into the MTDC system. Then, a neural-network (NN) model is employed to approximate the MTDC system. Next, a linear differential inclusion (LDI) state-space representation is established for the dynamics of the NN model. Based on this LDI state-space representation, this study proposes a delay-dependent exponential stability criterion derived in terms of Lyapunov's direct method, thus ensuring that the trajectories of the slave system approach those of the master system. Subsequently, the stability condition of this criterion is reformulated into a linear matrix inequality (LMI). Due to GA's random global optimisation search capabilities, the lower and upper bounds of the search space can be set so that the GA will seek better fuzzy observer feedback gains, accelerating feedback gain-based synchronisation via the LMI-based approach. IGA, which exhibits better performance than traditional GA, is used to synthesise a fuzzy observer to not only realise the exponential synchronisation, but also achieve optimal H∞ performance by minimizing the disturbance attenuation level and recovering the transmitted message. Finally, a numerical example with simulations is given in order to demonstrate the effectiveness of our approach. Journal: International Journal of Systems Science Pages: 3149-3166 Issue: 13 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1100348 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1100348 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:13:p:3149-3166 Template-Type: ReDIF-Article 1.0 Author-Name: Hanquan Lin Author-X-Name-First: Hanquan Author-X-Name-Last: Lin Author-Name: Qinglai Wei Author-X-Name-First: Qinglai Author-X-Name-Last: Wei Author-Name: Derong Liu Author-X-Name-First: Derong Author-X-Name-Last: Liu Author-Name: Hongwen Ma Author-X-Name-First: Hongwen Author-X-Name-Last: Ma Title: Adaptive tracking control of leader-following linear multi-agent systems with external disturbances Abstract: In this paper, the consensus problem for leader-following linear multi-agent systems with external disturbances is investigated. Brownian motions are used to describe exogenous disturbances. A distributed tracking controller based on Riccati inequalities with an adaptive law for adjusting coupling weights between neighbouring agents is designed for leader-following multi-agent systems under fixed and switching topologies. In traditional distributed static controllers, the coupling weights depend on the communication graph. However, coupling weights associated with the feedback gain matrix in our method are updated by state errors between neighbouring agents. We further present the stability analysis of leader-following multi-agent systems with stochastic disturbances under switching topology. Most traditional literature requires the graph to be connected all the time, while the communication graph is only assumed to be jointly connected in this paper. The design technique is based on Riccati inequalities and algebraic graph theory. Finally, simulations are given to show the validity of our method. Journal: International Journal of Systems Science Pages: 3167-3179 Issue: 13 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1102358 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1102358 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:13:p:3167-3179 Template-Type: ReDIF-Article 1.0 Author-Name: Behrooz Rahmani Author-X-Name-First: Behrooz Author-X-Name-Last: Rahmani Title: Robust nonlinear variable selective control for networked systems Abstract: This paper is concerned with the networked control of a class of uncertain nonlinear systems. In this way, Takagi–Sugeno (T-S) fuzzy modelling is used to extend the previously proposed variable selective control (VSC) methodology to nonlinear systems. This extension is based upon the decomposition of the nonlinear system to a set of fuzzy-blended locally linearised subsystems and further application of the VSC methodology to each subsystem. To increase the applicability of the T-S approach for uncertain nonlinear networked control systems, this study considers the asynchronous premise variables in the plant and the controller, and then introduces a robust stability analysis and control synthesis. The resulting optimal switching-fuzzy controller provides a minimum guaranteed cost on an H2 performance index. Simulation studies on three nonlinear benchmark problems demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 3180-3192 Issue: 13 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1107150 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1107150 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:13:p:3180-3192 Template-Type: ReDIF-Article 1.0 Author-Name: M. C. Nguyen Author-X-Name-First: M. C. Author-X-Name-Last: Nguyen Author-Name: H. Trinh Author-X-Name-First: H. Author-X-Name-Last: Trinh Author-Name: P. T. Nam Author-X-Name-First: P. T. Author-X-Name-Last: Nam Title: Linear functional observers with guaranteed ε-convergence for discrete time-delay systems with input/output disturbances Abstract: The problem of designing linear functional observers for discrete time-delay systems with unknown-but-bounded disturbances in both the plant and the output is considered for the first time in this paper. A novel approach to design a minimum-order observer is proposed to guarantee that the observer error is ε-convergent, which means that the estimate converges robustly within an ε-bound of the true state. Conditions for the existence of this observer are first derived. Then, by utilising an extended Lyapunov–Krasovskii functional and the free-weighting matrix technique, a sufficient condition for ε-convergence of the observer error system is given. This condition is presented in terms of linear matrix inequalities with two parameters needed to be tuned, so that it can be efficiently solved by incorporating a two-dimensional search method into convex optimisation algorithms to obtain the smallest possible value for ε. Three numerical examples, including the well-known single-link flexible joint robotic system, are given to illustrate the feasibility and effectiveness of our results. Journal: International Journal of Systems Science Pages: 3193-3205 Issue: 13 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1108474 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1108474 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:13:p:3193-3205 Template-Type: ReDIF-Article 1.0 Author-Name: Yulong Huang Author-X-Name-First: Yulong Author-X-Name-Last: Huang Author-Name: Yonggang Zhang Author-X-Name-First: Yonggang Author-X-Name-Last: Zhang Title: A new conditional posterior Cramér-Rao lower bound for a class of nonlinear systems Abstract: In this paper, a new conditional posterior Cramér-Rao lower bound (CPCRLB) is proposed for a class of nonlinear systems, in which current measurement is dependent on current state as well as one step previous state. In order to compute the proposed CPCRLB recursively, a new particle filter for such class of nonlinear systems is designed, based on which a general formulation of the proposed CPCRLB can be derived. To facilitate practical engineering applications, CPCRLBs for special cases of such class of nonlinear systems, including nonlinear systems with coloured measurement noises and nonlinear systems with correlated noises at one epoch apart, are developed, respectively. Simulation results show the efficiency and superiority of the proposed CPCRLB as compared with existing CPCRLB. Journal: International Journal of Systems Science Pages: 3206-3218 Issue: 13 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1110639 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1110639 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:13:p:3206-3218 Template-Type: ReDIF-Article 1.0 Author-Name: Zhao Li Author-X-Name-First: Zhao Author-X-Name-Last: Li Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Title: Multiobjective controller synthesis via eigenstructure assignment with state feedback Abstract: A general parameter scheme for multiobjective controller synthesis via eigenstructure assignment with state feedback is proposed. The scheme provides total pole configurability, that is, pole assignment constraints, partial pole assignment constraints, generalised regional pole assignment constraints can be dealt with simultaneously without introducing essential conservatism. The scheme is derived from the pole assignment approach using Sylvester equations, and the parameter space is the Cartesian product of some subspaces characterising the free parameters. Under the scheme, the controller design problems are formulated as nonlinear optimisation problems with both objectives and constraints being differentiable and can be solved by derivative-based nonlinear programming technique. Numerical examples are given to illustrate the efficiency of the proposed method. Journal: International Journal of Systems Science Pages: 3219-3231 Issue: 13 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1112444 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1112444 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:13:p:3219-3231 Template-Type: ReDIF-Article 1.0 Author-Name: Ding Zhai Author-X-Name-First: Ding Author-X-Name-Last: Zhai Author-Name: Anyang Lu Author-X-Name-First: Anyang Author-X-Name-Last: Lu Author-Name: Jinghao Li Author-X-Name-First: Jinghao Author-X-Name-Last: Li Author-Name: Qingling Zhang Author-X-Name-First: Qingling Author-X-Name-Last: Zhang Title: Fault detection for singular switched linear systems with multiple time-varying delay in finite frequency domain Abstract: This paper deals with the problem of the fault detection (FD) for continuous-time singular switched linear systems with multiple time-varying delay. In this paper, the actuator fault is considered. Besides, the systems faults and unknown disturbances are assumed in known frequency domains. Some finite frequency performance indices are initially introduced to design the switched FD filters which ensure that the filtering augmented systems under switching signal with average dwell time are exponentially admissible and guarantee the fault input sensitivity and disturbance robustness. By developing generalised Kalman–Yakubovic–Popov lemma and using Parseval's theorem and Fourier transform, finite frequency delay-dependent sufficient conditions for the existence of such a filter which can guarantee the finite-frequency H− and H∞ performance are derived and formulated in terms of linear matrix inequalities. Four examples are provided to illustrate the effectiveness of the proposed finite frequency method. Journal: International Journal of Systems Science Pages: 3232-3257 Issue: 13 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1112932 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1112932 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:13:p:3232-3257 Template-Type: ReDIF-Article 1.0 Author-Name: Feng Zhao Author-X-Name-First: Feng Author-X-Name-Last: Zhao Author-Name: Qingling Zhang Author-X-Name-First: Qingling Author-X-Name-Last: Zhang Author-Name: Guoliang Wang Author-X-Name-First: Guoliang Author-X-Name-Last: Wang Title: filtering for piecewise homogeneous Markovian jump nonlinear systems Abstract: This paper concerns the problem of H∞ filtering for piecewise homogeneous Markovian jump nonlinear systems. Different from the existing studies in the literatures, the existence of variations in transition rates for Markovian jump nonlinear systems is considered. The purpose of the paper is to design mode-dependent and mode-independent filters, such that the dynamics of the filtering errors are stochastic integral input-to-state stable with H∞ performance index. Using the linear matrix inequality method and the Lyapunov functional method, sufficient conditions for the solution to the H∞ filtering problem are derived. Finally, three examples are proposed to illustrate the effectiveness of the given theoretical results. Journal: International Journal of Systems Science Pages: 3258-3271 Issue: 13 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1116638 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1116638 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:13:p:3258-3271 Template-Type: ReDIF-Article 1.0 Author-Name: Akshay Kangale Author-X-Name-First: Akshay Author-X-Name-Last: Kangale Author-Name: S. Krishna Kumar Author-X-Name-First: S. Krishna Author-X-Name-Last: Kumar Author-Name: Mohd Arshad Naeem Author-X-Name-First: Mohd Arshad Author-X-Name-Last: Naeem Author-Name: Mark Williams Author-X-Name-First: Mark Author-X-Name-Last: Williams Author-Name: M. K. Tiwari Author-X-Name-First: M. K. Author-X-Name-Last: Tiwari Title: Mining consumer reviews to generate ratings of different product attributes while producing feature-based review-summary Abstract: With the massive growth of the internet, product reviews increasingly serve as an important source of information for customers to make choices online. Customers depend on these reviews to understand users’ experience, and manufacturers rely on this user-generated content to capture user sentiments about their product. Therefore, it is in the best interest of both customers and manufacturers to have a portal where they can read a complete comprehensive summary of these reviews in minimum time. With this in mind, we arrived at our first objective which is to generate a feature-based review-summary. Our second objective is to develop a predictive model to know the next week's product sales based on numerical review ratings and textual features embedded in the reviews. When it comes to product features, every user has different priorities for different features. To capture this aspect of decision-making, we have designed a new mechanism to generate a numerical rating for every feature of the product individually. The data have been collected from a well-known commercial website for two different products. The validation of the model is carried out using a crowd-sourcing technique. Journal: International Journal of Systems Science Pages: 3272-3286 Issue: 13 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1116640 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1116640 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:13:p:3272-3286 Template-Type: ReDIF-Article 1.0 Author-Name: Jiuping Xu Author-X-Name-First: Jiuping Author-X-Name-Last: Xu Author-Name: Kai Sun Author-X-Name-First: Kai Author-X-Name-Last: Sun Author-Name: Lei Xu Author-X-Name-First: Lei Author-X-Name-Last: Xu Title: Integrated system health management-oriented maintenance decision-making for multi-state system based on data mining Abstract: To ensure a series of missions can be completed with only finite breaks, many systems are required to guarantee system safety and mission success. Of these, maintenance decision support is vital. One widely used maintenance strategy has been selective maintenance. Most traditional selective maintenance optimisation research has focused on binary state systems, which are subject to distribution deterioration or failure. However, a majority of systems used in aerospace or industrial applications are multi-state systems with more than two states deteriorating at the same time, meaning that real-time state distribution is needed to provide more timely and effective maintenance. This paper presents a novel integrated system health management-oriented maintenance decision support methodology and framework for a multi-state system based on data mining. An aero-engine system numerical example is given to illustrate the methodology, the results of which demonstrate the significant advantages of using data mining to efficiently obtain state distribution information, and the benefits of using a robust optimal model to choose suitable strategies. This methodology, which is applicable to multi-state systems of varying sizes, has the ability to solve maintenance problems when imperfect maintenance quality is considered. Journal: International Journal of Systems Science Pages: 3287-3301 Issue: 13 Volume: 47 Year: 2016 Month: 10 X-DOI: 10.1080/00207721.2015.1116641 File-URL: http://hdl.handle.net/10.1080/00207721.2015.1116641 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:13:p:3287-3301 Template-Type: ReDIF-Article 1.0 Author-Name: Lei Fu Author-X-Name-First: Lei Author-X-Name-Last: Fu Author-Name: Yuechao Ma Author-X-Name-First: Yuechao Author-X-Name-Last: Ma Title: Dissipative control for singular time-delay system with actuator saturation via state feedback and output feedback Abstract: This paper is devoted to the problem of dissipative control for a class of singular time-delay systems with actuator saturation via state feedback and output feedback. First, by tuning the Wirtinger-based integral and the double integral inequality, a sufficient condition is derived to guarantee that the singular time-delay system is regular, impulse free, asymptotically stable and strictly (Q,S,R)-dissipative. Then, based on the derived condition, and applying linear matrix inequality techniques, the dissipative state feedback and output feedback controller are synthesised. Moreover, the maximal estimate of the domain of attraction is proposed by an optimisation problem. Finally, some simulation examples are provided to verify the effectiveness of the obtained theoretic results. Journal: International Journal of Systems Science Pages: 639-652 Issue: 3 Volume: 49 Year: 2018 Month: 2 X-DOI: 10.1080/00207721.2017.1406552 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1406552 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:3:p:639-652 Template-Type: ReDIF-Article 1.0 Author-Name: Alireza Nasiri Author-X-Name-First: Alireza Author-X-Name-Last: Nasiri Author-Name: Sing Kiong Nguang Author-X-Name-First: Sing Kiong Author-X-Name-Last: Nguang Author-Name: Akshya Swain Author-X-Name-First: Akshya Author-X-Name-Last: Swain Author-Name: Dhafer Almakhles Author-X-Name-First: Dhafer Author-X-Name-Last: Almakhles Title: Stabilisation of discrete-time polynomial fuzzy systems via a polynomial lyapunov approach Abstract: This paper deals with the problem of designing a controller for a class of discrete-time nonlinear systems which is represented by discrete-time polynomial fuzzy model. Most of the existing control design methods for discrete-time fuzzy polynomial systems cannot guarantee their Lyapunov function to be a radially unbounded polynomial function, hence the global stability cannot be assured. The proposed control design in this paper guarantees a radially unbounded polynomial Lyapunov functions which ensures global stability. In the proposed design, state feedback structure is considered and non-convexity problem is solved by incorporating an integrator into the controller. Sufficient conditions of stability are derived in terms of polynomial matrix inequalities which are solved via SOSTOOLS in MATLAB. A numerical example is presented to illustrate the effectiveness of the proposed controller. Journal: International Journal of Systems Science Pages: 557-566 Issue: 3 Volume: 49 Year: 2018 Month: 2 X-DOI: 10.1080/00207721.2017.1407006 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1407006 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:3:p:557-566 Template-Type: ReDIF-Article 1.0 Author-Name: Ruisheng Sun Author-X-Name-First: Ruisheng Author-X-Name-Last: Sun Author-Name: Jing Na Author-X-Name-First: Jing Author-X-Name-Last: Na Author-Name: Bin Zhu Author-X-Name-First: Bin Author-X-Name-Last: Zhu Title: Robust approximation-free prescribed performance control for nonlinear systems and its application Abstract: This paper presents a robust prescribed performance control approach and its application to nonlinear tail-controlled missile systems with unknown dynamics and uncertainties. The idea of prescribed performance function (PPF) is incorporated into the control design, such that both the steady-state and transient control performance can be strictly guaranteed. Unlike conventional PPF-based control methods, we further tailor a recently proposed systematic control design procedure (i.e. approximation-free control) using the transformed tracking error dynamics, which provides a proportional-like control action. Hence, the function approximators (e.g. neural networks, fuzzy systems) that are widely used to address the unknown nonlinearities in the nonlinear control designs are not needed. The proposed control design leads to a robust yet simplified function approximation-free control for nonlinear systems. The closed-loop system stability and the control error convergence are all rigorously proved. Finally, comparative simulations are conducted based on nonlinear missile systems to validate the improved response and the robustness of the proposed control method. Journal: International Journal of Systems Science Pages: 511-522 Issue: 3 Volume: 49 Year: 2018 Month: 2 X-DOI: 10.1080/00207721.2017.1408870 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1408870 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:3:p:511-522 Template-Type: ReDIF-Article 1.0 Author-Name: Yanyan Yin Author-X-Name-First: Yanyan Author-X-Name-Last: Yin Author-Name: Lijie Zhu Author-X-Name-First: Lijie Author-X-Name-Last: Zhu Author-Name: Hongbing Zeng Author-X-Name-First: Hongbing Author-X-Name-Last: Zeng Author-Name: Yanqing Liu Author-X-Name-First: Yanqing Author-X-Name-Last: Liu Author-Name: Fei Liu Author-X-Name-First: Fei Author-X-Name-Last: Liu Title: Stochastic stability analysis of integral non-homogeneous Markov jump systems Abstract: This paper investigates the problem of stability analysis for time-delay integral Markov jump systems with time-varying transition rates. Some free-weight matrices are addressed and sufficient conditions are established under which the system is stochastically stable. The bound of delay is larger than those in other results obtained, which guarantees that the proposed conditions are tighter. Numerical examples show the effectiveness of the method proposed. Journal: International Journal of Systems Science Pages: 479-485 Issue: 3 Volume: 49 Year: 2018 Month: 2 X-DOI: 10.1080/00207721.2017.1410252 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1410252 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:3:p:479-485 Template-Type: ReDIF-Article 1.0 Author-Name: Fanyong Meng Author-X-Name-First: Fanyong Author-X-Name-Last: Meng Title: An approach to decision-making with triangular fuzzy reciprocal preference relations and its application Abstract: Triangular fuzzy reciprocal preference relations (TFRPRs) are powerful tools to denoting decision-makers’ fuzzy judgments, which permit the decision-makers to apply triangular fuzzy ratio rather than real numbers to express their judgements. Consistency analysis is one of the most crucial issues in preference relations that can guarantee the reasonable ranking order. However, all previous consistency concepts cannot well address this type of preference relations. Based on the operational laws on triangular fuzzy numbers, this paper introduces an additive consistency concept for TFRPRs by using quasi TFRPRs, which can be seen as a natural extension of the crisp case. Using this consistency concept, models to judging the additive consistency of TFRPRs and to estimating missing values in complete TFRPRs are constructed. Then, an algorithm to decision-making with TFRPRs is developed. Finally, two numerical examples are offered to illustrate the application of the proposed procedure, and comparison analysis is performed. Journal: International Journal of Systems Science Pages: 567-581 Issue: 3 Volume: 49 Year: 2018 Month: 2 X-DOI: 10.1080/00207721.2017.1411988 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1411988 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:3:p:567-581 Template-Type: ReDIF-Article 1.0 Author-Name: Wen Jiang Author-X-Name-First: Wen Author-X-Name-Last: Jiang Author-Name: Boya Wei Author-X-Name-First: Boya Author-X-Name-Last: Wei Title: Intuitionistic fuzzy evidential power aggregation operator and its application in multiple criteria decision-making Abstract: The theory of intuitionistic fuzzy sets (IFS) is widely used for dealing with vagueness and the Dempster--Shafer (D-S) evidence theory has a widespread use in multiple criteria decision-making problems under uncertain situation. However, there are many methods to aggregate intuitionistic fuzzy numbers (IFNs), but the aggregation operator to fuse basic probability assignment (BPA) is rare. Power average (P-A) operator, as a powerful operator, is useful and important in information fusion. Motivated by the idea of P-A power, in this paper, a new operator based on the IFS and D-S evidence theory is proposed, which is named as intuitionistic fuzzy evidential power average (IFEPA) aggregation operator. First, an IFN is converted into a BPA, and the uncertainty is measured in D-S evidence theory. Second, the difference between BPAs is measured by Jousselme distance and a satisfying support function is proposed to get the support degree between each other effectively. Then the IFEPA operator is used for aggregating the original IFN and make a more reasonable decision. The proposed method is objective and reasonable because it is completely driven by data once some parameters are required. At the same time, it is novel and interesting. Finally, an application of developed models to the ‘One Belt, One road’ investment decision-making problems is presented to illustrate the effectiveness and feasibility of the proposed operator. Journal: International Journal of Systems Science Pages: 582-594 Issue: 3 Volume: 49 Year: 2018 Month: 2 X-DOI: 10.1080/00207721.2017.1411989 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1411989 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:3:p:582-594 Template-Type: ReDIF-Article 1.0 Author-Name: Jiaxi Chen Author-X-Name-First: Jiaxi Author-X-Name-Last: Chen Author-Name: Junmin Li Author-X-Name-First: Junmin Author-X-Name-Last: Li Title: Fuzzy adaptive iterative learning coordination control of second-order multi-agent systems with imprecise communication topology structure Abstract: In this paper, we investigate the perfect consensus problem for second-order linearly parameterised multi-agent systems (MAS) with imprecise communication topology structure. Takagi-Sugeno (T–S) fuzzy models are presented to describe the imprecise communication topology structure of leader-following MAS, and a distributed adaptive iterative learning control protocol is proposed with the dynamic of leader unknown to any of the agent. The proposed protocol guarantees that the follower agents can track the leader perfectly on [0,T] for the consensus problem. Under alignment condition, a sufficient condition of the consensus for closed-loop MAS is given based on Lyapunov stability theory. Finally, a numerical example and a multiple pendulum system are given to illustrate the effectiveness of the proposed algorithm. Journal: International Journal of Systems Science Pages: 546-556 Issue: 3 Volume: 49 Year: 2018 Month: 2 X-DOI: 10.1080/00207721.2017.1412533 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1412533 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:3:p:546-556 Template-Type: ReDIF-Article 1.0 Author-Name: Hai Zhang Author-X-Name-First: Hai Author-X-Name-Last: Zhang Author-Name: Renyu Ye Author-X-Name-First: Renyu Author-X-Name-Last: Ye Author-Name: Song Liu Author-X-Name-First: Song Author-X-Name-Last: Liu Author-Name: Jinde Cao Author-X-Name-First: Jinde Author-X-Name-Last: Cao Author-Name: Ahmad Alsaedi Author-X-Name-First: Ahmad Author-X-Name-Last: Alsaedi Author-Name: Xiaodi Li Author-X-Name-First: Xiaodi Author-X-Name-Last: Li Title: LMI-based approach to stability analysis for fractional-order neural networks with discrete and distributed delays Abstract: This paper is concerned with the asymptotic stability of the Riemann–Liouville fractional-order neural networks with discrete and distributed delays. By constructing a suitable Lyapunov functional, two sufficient conditions are derived to ensure that the addressed neural network is asymptotically stable. The presented stability criteria are described in terms of the linear matrix inequalities. The advantage of the proposed method is that one may avoid calculating the fractional-order derivative of the Lyapunov functional. Finally, a numerical example is given to show the validity and feasibility of the theoretical results. Journal: International Journal of Systems Science Pages: 537-545 Issue: 3 Volume: 49 Year: 2018 Month: 2 X-DOI: 10.1080/00207721.2017.1412534 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1412534 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:3:p:537-545 Template-Type: ReDIF-Article 1.0 Author-Name: Hamed Taghavian Author-X-Name-First: Hamed Author-X-Name-Last: Taghavian Author-Name: Mohammad Saleh Tavazoei Author-X-Name-First: Mohammad Saleh Author-X-Name-Last: Tavazoei Title: Stability analysis of distributed-order nonlinear dynamic systems Abstract: The problem of asymptotic stability analysis of equilibrium points in nonlinear distributed-order dynamic systems with non-negative weight functions is considered in this paper. The Lyapunov direct method is extended to be used for this stability analysis. To this end, at first, a discretisation scheme with convergence property is introduced for distributed-order dynamic systems. Then, on the basis of this tool, Lyapunov theorems are proved for asymptotic stability analysis of equilibrium points in distributed-order systems. As the order weight function assumed for the distributed-order systems is general enough, the results are applicable to a wide range of nonlinear distributed-order systems such as fractional-order systems with multiple fractional derivatives. To verify the applicability of the obtained results, these results are applied for the stability analysis of a distributed-order diffusion system and control of a fractional-order Lorenz system with multiple fractional derivatives. Journal: International Journal of Systems Science Pages: 523-536 Issue: 3 Volume: 49 Year: 2018 Month: 2 X-DOI: 10.1080/00207721.2017.1412535 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1412535 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:3:p:523-536 Template-Type: ReDIF-Article 1.0 Author-Name: Yifang Yan Author-X-Name-First: Yifang Author-X-Name-Last: Yan Author-Name: Chunyu Yang Author-X-Name-First: Chunyu Author-X-Name-Last: Yang Author-Name: Xiaoping Ma Author-X-Name-First: Xiaoping Author-X-Name-Last: Ma Author-Name: Linna Zhou Author-X-Name-First: Linna Author-X-Name-Last: Zhou Title: Sampled-data H∞ filtering for Markovian jump singularly perturbed systems with time-varying delay and missing measurements Abstract: In this paper, sampled-data H∞ filtering problem is considered for Markovian jump singularly perturbed systems with time-varying delay and missing measurements. The sampled-data system is represented by a time-delay system, and the missing measurement phenomenon is described by an independent Bernoulli random process. By constructing an ϵ-dependent stochastic Lyapunov–Krasovskii functional, delay-dependent sufficient conditions are derived such that the filter error system satisfies the prescribed H∞ performance for all possible missing measurements. Then, an H∞ filter design method is proposed in terms of linear matrix inequalities. Finally, numerical examples are given to illustrate the feasibility and advantages of the obtained results. Journal: International Journal of Systems Science Pages: 464-478 Issue: 3 Volume: 49 Year: 2018 Month: 2 X-DOI: 10.1080/00207721.2017.1412536 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1412536 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:3:p:464-478 Template-Type: ReDIF-Article 1.0 Author-Name: Bin Luo Author-X-Name-First: Bin Author-X-Name-Last: Luo Author-Name: Lin Lin Author-X-Name-First: Lin Author-X-Name-Last: Lin Author-Name: ShiSheng Zhong Author-X-Name-First: ShiSheng Author-X-Name-Last: Zhong Title: PGA/MOEAD: a preference-guided evolutionary algorithm for multi-objective decision-making problems with interval-valued fuzzy preferences Abstract: In this research, we propose a preference-guided optimisation algorithm for multi-criteria decision-making (MCDM) problems with interval-valued fuzzy preferences. The interval-valued fuzzy preferences are decomposed into a series of precise and evenly distributed preference-vectors (reference directions) regarding the objectives to be optimised on the basis of uniform design strategy firstly. Then the preference information is further incorporated into the preference-vectors based on the boundary intersection approach, meanwhile, the MCDM problem with interval-valued fuzzy preferences is reformulated into a series of single-objective optimisation sub-problems (each sub-problem corresponds to a decomposed preference-vector). Finally, a preference-guided optimisation algorithm based on MOEA/D (multi-objective evolutionary algorithm based on decomposition) is proposed to solve the sub-problems in a single run. The proposed algorithm incorporates the preference-vectors within the optimisation process for guiding the search procedure towards a more promising subset of the efficient solutions matching the interval-valued fuzzy preferences. In particular, lots of test instances and an engineering application are employed to validate the performance of the proposed algorithm, and the results demonstrate the effectiveness and feasibility of the algorithm. Journal: International Journal of Systems Science Pages: 595-616 Issue: 3 Volume: 49 Year: 2018 Month: 2 X-DOI: 10.1080/00207721.2017.1412537 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1412537 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:3:p:595-616 Template-Type: ReDIF-Article 1.0 Author-Name: Yuhua Qi Author-X-Name-First: Yuhua Author-X-Name-Last: Qi Author-Name: Jianan Wang Author-X-Name-First: Jianan Author-X-Name-Last: Wang Author-Name: Jiayuan Shan Author-X-Name-First: Jiayuan Author-X-Name-Last: Shan Title: Aerial cooperative transporting and assembling control using multiple quadrotor–manipulator systems Abstract: In this paper, a fully distributed control scheme for aerial cooperative transporting and assembling is proposed using multiple quadrotor–manipulator systems with each quadrotor equipped with a robotic manipulator. First, the kinematic and dynamic models of a quadrotor with multi-Degree of Freedom (DOF) robotic manipulator are established together using Euler–Lagrange equations. Based on the aggregated dynamic model, the control scheme consisting of position controller, attitude controller and manipulator controller is presented. Regarding cooperative transporting and assembling, multiple quadrotor–manipulator systems should be able to form a desired formation without collision among quadrotors from any initial position. The desired formation is achieved by the distributed position controller and attitude controller, while the collision avoidance is guaranteed by an artificial potential function method. Then, the transporting and assembling tasks request the manipulators to reach the desired angles cooperatively, which is achieved by the distributed manipulator controller. The overall stability of the closed-loop system is proven by a Lyapunov method and Matrosov's theorem. In the end, the proposed control scheme is simplified for the real application and then validated by two formation flying missions of four quadrotors with 2-DOF manipulators. Journal: International Journal of Systems Science Pages: 662-676 Issue: 3 Volume: 49 Year: 2018 Month: 2 X-DOI: 10.1080/00207721.2017.1412538 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1412538 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:3:p:662-676 Template-Type: ReDIF-Article 1.0 Author-Name: Sheng-Ping Li Author-X-Name-First: Sheng-Ping Author-X-Name-Last: Li Title: Adaptive control with optimal tracking performance Abstract: This paper provides a way to optimise the steady-state tracking performance of the adaptive control system in the presence of unknown external disturbances. A-priori knowledge of the dynamic model of the reference signal to be tracked is not completely known. Especially, the updatable non-empty admissible model set, which is consistent to the a-priori knowledge of the plant parameter and the online measurements, is computed. Treating the overall system performance as the criteria, the nominal model is optimally chosen within the admissible model set. The optimal nominal model is subsequently used to synthesise the optimal closed-loop controller that minimises the steady-state absolute value of the tracking error. Combining the above two aspects, an optimal adaptive control scheme is proposed. Because of the consistency of the identification criteria and control object, the adaptive control scheme proposed in this paper can achieve the overall optimal steady-state tracking performance, and the effect of the interplay between the identification and control of the adaptive system can be handled effectively. In addition, the computable optimal performance is also provided. Journal: International Journal of Systems Science Pages: 496-510 Issue: 3 Volume: 49 Year: 2018 Month: 2 X-DOI: 10.1080/00207721.2017.1415390 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1415390 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:3:p:496-510 Template-Type: ReDIF-Article 1.0 Author-Name: Gani Stamov Author-X-Name-First: Gani Author-X-Name-Last: Stamov Author-Name: Ivanka Stamova Author-X-Name-First: Ivanka Author-X-Name-Last: Stamova Title: Uncertain impulsive differential systems of fractional order: almost periodic solutions Abstract: In this paper, we investigate the existence and stability of almost periodic solutions of impulsive fractional-order differential systems with uncertain parameters. The impulses are realised at fixed moments of time. For the first time, we determine the impact of the uncertainties on the qualitative behaviour of such systems. The main criteria for the existence of almost periodic solutions are proved by employing the fractional Lyapunov method. The global perfect robust uniform-asymptotic stability of such solutions is also considered. We apply our results to uncertain impulsive neural network systems of fractional order. Journal: International Journal of Systems Science Pages: 631-638 Issue: 3 Volume: 49 Year: 2018 Month: 2 X-DOI: 10.1080/00207721.2017.1416428 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1416428 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:3:p:631-638 Template-Type: ReDIF-Article 1.0 Author-Name: Elizabeth Noghreian Author-X-Name-First: Elizabeth Author-X-Name-Last: Noghreian Author-Name: Hamid Reza Koofigar Author-X-Name-First: Hamid Reza Author-X-Name-Last: Koofigar Title: Adaptive output feedback tracking control for a class of uncertain switched nonlinear systems under arbitrary switching Abstract: This paper investigates the problem of adaptive output feedback tracking for uncertain switched nonlinear systems, under arbitrary switching. First, an adaptive output feedback controller is designed, which ensures the boundedness of all the closed-loop signals. Then, a novel adaptive-based robust output feedback control is proposed to drive the tracking error to zero, in which the bound of disturbances is not required to be known in advance. Both control algorithms are based on the common Lyapunov function method, without any restrictions on dwell time. To evaluate the performance of the proposed output feedback control schemes, a numerical example is presented and discussed. Journal: International Journal of Systems Science Pages: 486-495 Issue: 3 Volume: 49 Year: 2018 Month: 2 X-DOI: 10.1080/00207721.2017.1416429 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1416429 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:3:p:486-495 Template-Type: ReDIF-Article 1.0 Author-Name: Shang Shi Author-X-Name-First: Shang Author-X-Name-Last: Shi Author-Name: Wenhui Liu Author-X-Name-First: Wenhui Author-X-Name-Last: Liu Author-Name: Junwei Lu Author-X-Name-First: Junwei Author-X-Name-Last: Lu Author-Name: Yuming Chu Author-X-Name-First: Yuming Author-X-Name-Last: Chu Title: Improved disturbance rejection for predictor-based control of MIMO linear systems with input delay Abstract: In this paper, we are concerned with the predictor-based control of multi-input multi-output (MIMO) linear systems with input delay and disturbances. By taking the future values of disturbances into consideration, a new improved predictive scheme is proposed. Compared with the existing predictive schemes, our proposed predictive scheme can achieve a finite-time exact state prediction for some smooth disturbances including the constant disturbances, and a better disturbance attenuation can also be achieved for a large class of other time-varying disturbances. The attenuation of mismatched disturbances for second-order linear systems with input delay is also investigated by using our proposed predictor-based controller. Journal: International Journal of Systems Science Pages: 653-661 Issue: 3 Volume: 49 Year: 2018 Month: 2 X-DOI: 10.1080/00207721.2017.1418032 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1418032 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:3:p:653-661 Template-Type: ReDIF-Article 1.0 Author-Name: Xia Wang Author-X-Name-First: Xia Author-X-Name-Last: Wang Author-Name: Jun Zhao Author-X-Name-First: Jun Author-X-Name-Last: Zhao Title: Switched adaptive tracking control of robot manipulators with friction and changing loads Abstract: A switched adaptive controller is designed for robot manipulators with friction and changing loads. The nonlinear friction is depicted by a nonlinear friction model, and a switched nonlinear system is used to model the parameter jump caused by load change. Hyperstability theory is used in the designing procedure, which provides more options for adaptive laws than Lyapunov theory. In the presence of friction and changing loads, asymptotic tracking is achieved under arbitrary switching, which is not able to accomplish by a non-switched adaptive controller. The proposed method is validated by a simulation of a 2 degree of freedom manipulator. Journal: International Journal of Systems Science Pages: 955-965 Issue: 6 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.801098 File-URL: http://hdl.handle.net/10.1080/00207721.2013.801098 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:6:p:955-965 Template-Type: ReDIF-Article 1.0 Author-Name: Hsien-Jen Lin Author-X-Name-First: Hsien-Jen Author-X-Name-Last: Lin Title: Two-echelon stochastic inventory system with returns and partial backlogging Abstract: This paper investigates a two-echelon stochastic inventory system with returns and partial backlogging; our proposed model, which is realistic for practical situations, might be applicable in many manufacturing planning situations. The objective is to find a continuous-review inventory control policy that minimises the total expected annual cost of the system. A computer code using the software Mathematica 5.2 is developed to derive the optimal solution. Additionally, we discuss the sensitivity of the optimal solution together with the changes of the values of the parameters associated with the model for decision-making. The results are illustrated with the help of four numerical examples. Journal: International Journal of Systems Science Pages: 966-975 Issue: 6 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.803633 File-URL: http://hdl.handle.net/10.1080/00207721.2013.803633 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:6:p:966-975 Template-Type: ReDIF-Article 1.0 Author-Name: Qinglei Hu Author-X-Name-First: Qinglei Author-X-Name-Last: Hu Author-Name: Bo Li Author-X-Name-First: Bo Author-X-Name-Last: Li Author-Name: Danwei Wang Author-X-Name-First: Danwei Author-X-Name-Last: Wang Author-Name: Eng Kee Poh Author-X-Name-First: Eng Author-X-Name-Last: Kee Poh Title: Velocity-free fault-tolerant control allocation for flexible spacecraft with redundant thrusters Abstract: This paper proposes a novel velocity-free nonlinear proportional-integral (PI) control allocation scheme for fault-tolerant attitude control of flexible spacecraft under thruster redundancy. More specifically, the nonlinear PI controller for attitude stabilisation without using body angular velocity measurements is first designed as a virtual control of the control allocator to produce the three-axis moments, and can ultimately guarantee uniform boundedness of the closed-loop system in the presence of external disturbances and possible faults. The associated stability proof is constructive and accomplished by the development of passivity filter formulations together with the choice of a Lyapunov function containing mixed terms involving the various states. Then, a robust least-squares-based control allocation is employed to deal with the problem of distributing the three-axis moments over the available thrusters under redundancy, in which the focus of this control allocation is to find the optimal control vector of the actuator by minimising the worst-case residual, under the condition of thruster faults and control constraints like saturation. Simulation results using the orbiting flexible spacecraft model show good performance under external disturbances and even in different thruster fault scenarios, which validates the effectiveness and feasibility of the proposed scheme. Journal: International Journal of Systems Science Pages: 976-992 Issue: 6 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.803634 File-URL: http://hdl.handle.net/10.1080/00207721.2013.803634 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:6:p:976-992 Template-Type: ReDIF-Article 1.0 Author-Name: Yonghui Liu Author-X-Name-First: Yonghui Author-X-Name-Last: Liu Author-Name: Tinggang Jia Author-X-Name-First: Tinggang Author-X-Name-Last: Jia Author-Name: Yugang Niu Author-X-Name-First: Yugang Author-X-Name-Last: Niu Author-Name: Yuanyuan Zou Author-X-Name-First: Yuanyuan Author-X-Name-Last: Zou Title: Design of sliding mode control for a class of uncertain switched systems Abstract: This paper considers the problem of sliding mode control for a class of uncertain switched systems with parameter uncertainties and external disturbances. A key feature of the controlled system is that each subsystem is not required to share the same input channel, which was usually assumed in some existing works. By means of a weighted sum of the input matrix, a common sliding surface is designed in this work. It is shown that the reachability of the sliding surface can be ensured by the present sliding mode controller. Moreover, the sliding motion on the specified sliding surface is asymptotically stable under the proposed switching signal dependent on the state and time. Additionally, the above results are further extended to the case that the system states are unavailable. Both the sliding surface and sliding mode controller are designed by utilising state-observer. Finally, numerical simulation examples are given to illustrate the effectiveness of the present method. Journal: International Journal of Systems Science Pages: 993-1002 Issue: 6 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.803635 File-URL: http://hdl.handle.net/10.1080/00207721.2013.803635 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:6:p:993-1002 Template-Type: ReDIF-Article 1.0 Author-Name: Wen Liang Chang Author-X-Name-First: Wen Liang Author-X-Name-Last: Chang Title: Optimal single-replacement for repairable products with different failure rate under a finite planning horizon Abstract: This paper provides a replacement policy for repairable products with free-repair warranty (FRW) under a finite planning horizon from the consumer's viewpoint. Assume that the product is replaced once within a finite planning horizon, and the failure rate of the second product is lower than the failure rate of the first product. Within FRW, the failed product is corrected by minimal repair without any cost to the consumers. After FRW, the failed product is repaired with a fixed repair cost to the consumers. However, each failure incurs a fixed downtime cost to the consumers over a finite planning horizon. In this paper, we derive the three models of the expected total disbursement cost within a finite planning horizon and some properties of the optimal replacement policy under some reasonable conditions are obtained. Finally, numerical examples are given to illustrate the features of the optimal replacement policy under various maintenance costs. Journal: International Journal of Systems Science Pages: 1003-1009 Issue: 6 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.807381 File-URL: http://hdl.handle.net/10.1080/00207721.2013.807381 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:6:p:1003-1009 Template-Type: ReDIF-Article 1.0 Author-Name: Yeu-Shiang Huang Author-X-Name-First: Yeu-Shiang Author-X-Name-Last: Huang Author-Name: Li-Chen Liu Author-X-Name-First: Li-Chen Author-X-Name-Last: Liu Author-Name: Jyh-Wen Ho Author-X-Name-First: Jyh-Wen Author-X-Name-Last: Ho Title: Decisions on new product development under uncertainties Abstract: In an intensively competitive market, developing a new product has become a valuable strategy for companies to establish their market positions and enhance their competitive advantages. Therefore, it is essential to effectively manage the process of new product development (NPD). However, since various problems may arise in NPD projects, managers should set up some milestones and subsequently construct evaluative mechanisms to assess their feasibility. This paper employed the approach of Bayesian decision analysis to deal with the two crucial uncertainties for NPD, which are the future market share and the responses of competitors. The proposed decision process can provide a systematic analytical procedure to determine whether an NPD project should be continued or not under the consideration of whether effective usage is being made of the organisational resources. Accordingly, the proposed decision model can assist the managers in effectively addressing the NPD issue under the competitive market. Journal: International Journal of Systems Science Pages: 1010-1019 Issue: 6 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.807382 File-URL: http://hdl.handle.net/10.1080/00207721.2013.807382 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:6:p:1010-1019 Template-Type: ReDIF-Article 1.0 Author-Name: Yi-Kuei Lin Author-X-Name-First: Yi-Kuei Author-X-Name-Last: Lin Author-Name: Cheng-Fu Huang Author-X-Name-First: Cheng-Fu Author-X-Name-Last: Huang Title: Assessment of spare reliability for multi-state computer networks within tolerable packet unreliability Abstract: From a quality of service viewpoint, the transmission packet unreliability and transmission time are both critical performance indicators in a computer system when assessing the Internet quality for supervisors and customers. A computer system is usually modelled as a network topology where each branch denotes a transmission medium and each vertex represents a station of servers. Almost every branch has multiple capacities/states due to failure, partial failure, maintenance, etc. This type of network is known as a multi-state computer network (MSCN). This paper proposes an efficient algorithm that computes the system reliability, i.e., the probability that a specified amount of data can be sent through k (k ≥ 2) disjoint minimal paths within both the tolerable packet unreliability and time threshold. Furthermore, two routing schemes are established in advance to indicate the main and spare minimal paths to increase the system reliability (referred to as spare reliability). Thus, the spare reliability can be readily computed according to the routing scheme. Journal: International Journal of Systems Science Pages: 1020-1035 Issue: 6 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.807383 File-URL: http://hdl.handle.net/10.1080/00207721.2013.807383 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:6:p:1020-1035 Template-Type: ReDIF-Article 1.0 Author-Name: A.K. Bhunia Author-X-Name-First: A.K. Author-X-Name-Last: Bhunia Author-Name: A.A. Shaikh Author-X-Name-First: A.A. Author-X-Name-Last: Shaikh Author-Name: R.K. Gupta Author-X-Name-First: R.K. Author-X-Name-Last: Gupta Title: A study on two-warehouse partially backlogged deteriorating inventory models under inflation via particle swarm optimisation Abstract: This paper deals with a deterministic inventory model for linear trend in demand under inflationary conditions with different rates of deterioration in two separate warehouses (owned and rented warehouses). The replenishment rate is infinite. The stock is transferred from the rented warehouse to owned warehouse in continuous release pattern and the associated transportation cost is taken into account. At owned warehouse, shortages, if any, are allowed and partially backlogged with a rate dependent on the duration of waiting time up to the arrival of the next lot. The corresponding problems have been formulated as nonlinear constrained optimisation problems for two different policies (inventory follows shortage (IFS) and shortage follows inventory (SFI)). Finally, the model has been illustrated with a numerical example and to study the effects of changes of different system parameters on initial stock level, maximum shortage level and cycle length with the minimum cost of the system, sensitivity analyses have been carried out by changing one parameter at a time and keeping the others at their original values. Journal: International Journal of Systems Science Pages: 1036-1050 Issue: 6 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.807385 File-URL: http://hdl.handle.net/10.1080/00207721.2013.807385 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:6:p:1036-1050 Template-Type: ReDIF-Article 1.0 Author-Name: Zhuoqi Zhang Author-X-Name-First: Zhuoqi Author-X-Name-Last: Zhang Author-Name: Su Wu Author-X-Name-First: Su Author-X-Name-Last: Wu Author-Name: Binfeng Li Author-X-Name-First: Binfeng Author-X-Name-Last: Li Author-Name: Seungchul Lee Author-X-Name-First: Seungchul Author-X-Name-Last: Lee Title: (, ) type maintenance policy for multi-component systems with failure interactions Abstract: This paper studies maintenance policies for multi-component systems in which failure interactions and opportunistic maintenance (OM) involve. This maintenance problem can be formulated as a Markov decision process (MDP). However, since an action set and state space in MDP exponentially expand as the number of components increase, traditional approaches are computationally intractable. To deal with curse of dimensionality, we decompose such a multi-component system into mutually influential single-component systems. Each single-component system is formulated as an MDP with the objective of minimising its long-run average maintenance cost. Under some reasonable assumptions, we prove the existence of the optimal (n, N) type policy for a single-component system. An algorithm to obtain the optimal (n, N) type policy is also proposed. Based on the proposed algorithm, we develop an iterative approximation algorithm to obtain an acceptable maintenance policy for a multi-component system. Numerical examples find that failure interactions and OM pose significant effects on a maintenance policy. Journal: International Journal of Systems Science Pages: 1051-1064 Issue: 6 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.807386 File-URL: http://hdl.handle.net/10.1080/00207721.2013.807386 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:6:p:1051-1064 Template-Type: ReDIF-Article 1.0 Author-Name: Honghai Wang Author-X-Name-First: Honghai Author-X-Name-Last: Wang Author-Name: Jianchang Liu Author-X-Name-First: Jianchang Author-X-Name-Last: Liu Author-Name: Feisheng Yang Author-X-Name-First: Feisheng Author-X-Name-Last: Yang Author-Name: Tiaoyang Cai Author-X-Name-First: Tiaoyang Author-X-Name-Last: Cai Title: Proportional-derivative controllers for stabilisation of first-order processes with time delay Abstract: This paper considers the problems of determining the complete stabilising set of proportional-derivative controllers for a first-order process with time delay. First, by employing a version of the Hermite–Biehler theorem applicable to quasi-polynomials, a complete set of all stabilising proportional-derivative parameters for first-order processes with constant time delay are obtained. Next, we provide an approach to design a robust PD controller to stabilise a first-order process with uncertain time delay, which lies inside a known interval. Journal: International Journal of Systems Science Pages: 1065-1079 Issue: 6 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.808715 File-URL: http://hdl.handle.net/10.1080/00207721.2013.808715 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:6:p:1065-1079 Template-Type: ReDIF-Article 1.0 Author-Name: Jun Cheng Author-X-Name-First: Jun Author-X-Name-Last: Cheng Author-Name: Hong Zhu Author-X-Name-First: Hong Author-X-Name-Last: Zhu Author-Name: Shouming Zhong Author-X-Name-First: Shouming Author-X-Name-Last: Zhong Author-Name: Yuping Zhang Author-X-Name-First: Yuping Author-X-Name-Last: Zhang Author-Name: Yuanyuan Li Author-X-Name-First: Yuanyuan Author-X-Name-Last: Li Title: Finite-time control for a class of discrete-time Markovian jump systems with partly unknown time-varying transition probabilities subject to average dwell time switching Abstract: An extension of a fixed transition probability (TP) Markovian switching model to combine time-varying TPs has offered another set of useful regime-switching models. This paper is concerned with the problem of finite-time H∞ control for a class of discrete-time Markovian jump systems with partly unknown time-varying TPs subject to average dwell time switching. The so-called time-varying TPs mean that the TPs are varying but invariant within an interval. The variation of the TPs considered here is subject to a class of slow switching signal. Based on selecting the appropriate Lyapunov–Krasovskii functional, sufficient conditions of finite-time boundedness of Markovian jump systems are derived and the system trajectory stays within a prescribed bound. Finally, an example is given to illustrate the efficiency of the proposed method. Journal: International Journal of Systems Science Pages: 1080-1093 Issue: 6 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.808716 File-URL: http://hdl.handle.net/10.1080/00207721.2013.808716 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:6:p:1080-1093 Template-Type: ReDIF-Article 1.0 Author-Name: Mohammad Vali Ahmadi Author-X-Name-First: Mohammad Vali Author-X-Name-Last: Ahmadi Author-Name: Mahdi Doostparast Author-X-Name-First: Mahdi Author-X-Name-Last: Doostparast Author-Name: Jafar Ahmadi Author-X-Name-First: Jafar Author-X-Name-Last: Ahmadi Title: Statistical inference for the lifetime performance index based on generalised order statistics from exponential distribution Abstract: In manufacturing industries, the lifetime of an item is usually characterised by a random variable X and considered to be satisfactory if X exceeds a given lower lifetime limit L. The probability of a satisfactory item is then ηL := P(X ≥ L), called conforming rate. In industrial companies, however, the lifetime performance index, proposed by Montgomery and denoted by CL, is widely used as a process capability index instead of the conforming rate. Assuming a parametric model for the random variable X, we show that there is a connection between the conforming rate and the lifetime performance index. Consequently, the statistical inferences about ηL and CL are equivalent. Hence, we restrict ourselves to statistical inference for CL based on generalised order statistics, which contains several ordered data models such as usual order statistics, progressively Type-II censored data and records. Various point and interval estimators for the parameter CL are obtained and optimal critical regions for the hypothesis testing problems concerning CL are proposed. Finally, two real data-sets on the lifetimes of insulating fluid and ball bearings, due to Nelson (1982) and Caroni (2002), respectively, and a simulated sample are analysed. Journal: International Journal of Systems Science Pages: 1094-1107 Issue: 6 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.809611 File-URL: http://hdl.handle.net/10.1080/00207721.2013.809611 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:6:p:1094-1107 Template-Type: ReDIF-Article 1.0 Author-Name: Murat Gök Author-X-Name-First: Murat Author-X-Name-Last: Gök Title: An ensemble of -nearest neighbours algorithm for detection of Parkinson's disease Abstract: Parkinson's disease is a disease of the central nervous system that leads to severe difficulties in motor functions. Developing computational tools for recognition of Parkinson's disease at the early stages is very desirable for alleviating the symptoms. In this paper, we developed a discriminative model based on a selected feature subset and applied several classifier algorithms in the context of disease detection. All classifier performances from the point of both stand-alone and rotation-forest ensemble approach were evaluated on a Parkinson's disease data-set according to a blind testing protocol. The new method compared to hitherto methods outperforms the state-of-the-art in terms of both predictions of accuracy (98.46%) and area under receiver operating characteristic curve (0.99) scores applying rotation-forest ensemble k-nearest neighbour classifier algorithm. Journal: International Journal of Systems Science Pages: 1108-1112 Issue: 6 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.809613 File-URL: http://hdl.handle.net/10.1080/00207721.2013.809613 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:6:p:1108-1112 Template-Type: ReDIF-Article 1.0 Author-Name: Mohammad Alaghebandha Author-X-Name-First: Mohammad Author-X-Name-Last: Alaghebandha Author-Name: Vahid Hajipour Author-X-Name-First: Vahid Author-X-Name-Last: Hajipour Title: A soft computing-based approach to optimise queuing-inventory control problem Abstract: In this paper, a multi-product continuous review inventory control problem within batch arrival queuing approach (MQr/M/1) is developed to find the optimal quantities of maximum inventory. The objective function is to minimise summation of ordering, holding and shortage costs under warehouse space, service level and expected lost-sales shortage cost constraints from retailer and warehouse viewpoints. Since the proposed model is Non-deterministic Polynomial-time hard, an efficient imperialist competitive algorithm (ICA) is proposed to solve the model. To justify proposed ICA, both ganetic algorithm and simulated annealing algorithm are utilised. In order to determine the best value of algorithm parameters that result in a better solution, a fine-tuning procedure is executed. Finally, the performance of the proposed ICA is analysed using some numerical illustrations. Journal: International Journal of Systems Science Pages: 1113-1130 Issue: 6 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.809614 File-URL: http://hdl.handle.net/10.1080/00207721.2013.809614 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:6:p:1113-1130 Template-Type: ReDIF-Article 1.0 Author-Name: Zhi Liu Author-X-Name-First: Zhi Author-X-Name-Last: Liu Author-Name: Jing Luo Author-X-Name-First: Jing Author-X-Name-Last: Luo Author-Name: Liyang Wang Author-X-Name-First: Liyang Author-X-Name-Last: Wang Author-Name: Yun Zhang Author-X-Name-First: Yun Author-X-Name-Last: Zhang Author-Name: C. L. Philip Chen Author-X-Name-First: C. L. Author-X-Name-Last: Philip Chen Author-Name: Xin Chen Author-X-Name-First: Xin Author-X-Name-Last: Chen Title: A time-sequence-based fuzzy support vector machine adaptive filter for tremor cancelling for microsurgery Abstract: Hand tremors may cause some blemishes in precision and stability of a minimally invasive surgery (MIS). To track the tremor signals accurately, there are two main problems left to be settled. First, it is not practical to collect the sample data of tremor in large scale in practical applications. To deal with the hand tremors, a learning method based on small samples sizes and high dimensional input space is needed. Second, the hand tremors have time-varying characteristics. This fact is neglected by traditional learning methods, which could lead to imprecision and instability of a MIS. In this work, a time-sequence-based fuzzy support vector machine adaptive filter (TSF-SVMAF) for tremor cancelling is proposed. The proposed method is based on support vector machine and time series. It is suitable for solving the problem that the inputs are time-varying and the samples are small-scale. To cancel the time-varying hand tremors, different learning-weight-functions are designed for tremor signals with different frequencies. From the simulation results, compared with the existing methods such as back propagation (BP), weighted-frequency Fourier combiner (WFLC) and bandlimited multiple Fourier linear combiner (BMFLC), the proposed method has better performance when learning the time-varying hand tremors with small sample sizes. Journal: International Journal of Systems Science Pages: 1131-1146 Issue: 6 Volume: 46 Year: 2015 Month: 4 X-DOI: 10.1080/00207721.2013.821718 File-URL: http://hdl.handle.net/10.1080/00207721.2013.821718 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:6:p:1131-1146 Template-Type: ReDIF-Article 1.0 Author-Name: Wenjie Dong Author-X-Name-First: Wenjie Author-X-Name-Last: Dong Title: Distributed observer-based cooperative control of multiple nonholonomic mobile agents Abstract: In this article, cooperative output feedback control of a group of nonholonomic mobile agents is considered. Distributed observer-based cooperative control laws are proposed with the aid of Lyapunov techniques and results from graph theory. Robustness of the stability of the closed-loop systems with the proposed control laws is considered. The effectiveness of the proposed controllers is verified by simulation results. Journal: International Journal of Systems Science Pages: 797-808 Issue: 5 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.520096 File-URL: http://hdl.handle.net/10.1080/00207721.2010.520096 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:5:p:797-808 Template-Type: ReDIF-Article 1.0 Author-Name: Chongyang Liu Author-X-Name-First: Chongyang Author-X-Name-Last: Liu Author-Name: Zhaohua Gong Author-X-Name-First: Zhaohua Author-X-Name-Last: Gong Author-Name: Enmin Feng Author-X-Name-First: Enmin Author-X-Name-Last: Feng Author-Name: Hongchao Yin Author-X-Name-First: Hongchao Author-X-Name-Last: Yin Title: Nonlinear dynamical systems of fed-batch fermentation and their optimal control Abstract: In this article, we propose a controlled nonlinear dynamical system with variable switching instants, in which the feeding rate of glycerol is regarded as the control function and the moments between the batch and feeding processes as switching instants, to formulate the fed-batch fermentation of glycerol bioconversion to 1,3-propanediol (1,3-PD). Some important properties of the proposed system and its solution are then discussed. Taking the concentration of 1,3-PD at the terminal time as the cost functional, we establish an optimal control model involving the controlled nonlinear dynamical system and subject to continuous state inequality constraints. The existence of the optimal control is also proved. A computational approach is constructed on the basis of constraint transcription and smoothing approximation techniques. Numerical results show that, by employing the optimal control strategy, the concentration of 1,3-PD at the terminal time can be increased considerably. Journal: International Journal of Systems Science Pages: 809-819 Issue: 5 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.523800 File-URL: http://hdl.handle.net/10.1080/00207721.2010.523800 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:5:p:809-819 Template-Type: ReDIF-Article 1.0 Author-Name: Engang Tian Author-X-Name-First: Engang Author-X-Name-Last: Tian Author-Name: Dong Yue Author-X-Name-First: Dong Author-X-Name-Last: Yue Author-Name: Chen Peng Author-X-Name-First: Chen Author-X-Name-Last: Peng Title: Delay-fractioning-dependent robust control for linear systems with delay in state or input and its applications Abstract: A new delay fraction technique is proposed to investigate the H∞ control of uncertain systems with time delay in state or input. First, the variation interval of the time-varying delay is divided into several subintervals with equal length. By checking the variation of derivative of the Lyapunov functional in every subinterval, some new criteria on H∞ performance analysis of the systems are derived in terms of the convexity properties of a matrix inequality and some other new analysis techniques. Then, criteria for the H∞ control design are presented, which are concluded from the H∞ performance analysis results. As applications of the derived results, H∞ performance analysis and H∞ control design are carried out for some systems, including two numerical systems, linearised truck trailer system and traffic network system. Discussions show that, the proposed method is effective for these systems and much less conservativeness appears than those given in the existing references. Journal: International Journal of Systems Science Pages: 820-833 Issue: 5 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.528177 File-URL: http://hdl.handle.net/10.1080/00207721.2010.528177 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:5:p:820-833 Template-Type: ReDIF-Article 1.0 Author-Name: Jiwei Wen Author-X-Name-First: Jiwei Author-X-Name-Last: Wen Author-Name: Fei Liu Author-X-Name-First: Fei Author-X-Name-Last: Liu Title: Aggregation-based fuzzy dual-mode control for nonlinear systems with mixed constraints Abstract: A new receding horizon dual-mode control method is proposed for a class of discrete-time nonlinear systems represented by Takagi–Sugeno (T–S) fuzzy models subject to mixed constraints including hard input constraint and soft state constraint. On the one hand, our receding horizon scheme is based upon an online optimisation that utilises optimised sequence plus local linear feedback. On the other hand, due to the consideration of computation burden, an amplitude decaying aggregation strategy is introduced to reduce the number of optimisation variables. The proposed controller is obtained using semi-definite programming, which can be easily solved by means of linear matrix inequalities. A numerical example is given to verify the feasibility and efficiency of the proposed method. Journal: International Journal of Systems Science Pages: 834-844 Issue: 5 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.528178 File-URL: http://hdl.handle.net/10.1080/00207721.2010.528178 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:5:p:834-844 Template-Type: ReDIF-Article 1.0 Author-Name: Sergey Dashkovskiy Author-X-Name-First: Sergey Author-X-Name-Last: Dashkovskiy Author-Name: Hamid Karimi Author-X-Name-First: Hamid Author-X-Name-Last: Karimi Author-Name: Michael Kosmykov Author-X-Name-First: Michael Author-X-Name-Last: Kosmykov Title: A Lyapunov–Razumikhin approach for stability analysis of logistics networks with time-delays Abstract: Logistics network represents a complex system where different elements that are logistic locations interact with each other. This interaction contains delays caused by time needed for delivery of the material. Complexity of the system, time-delays and perturbations in a customer demand may cause unstable behaviour of the network. This leads to the loss of the customers and high inventory costs. Thus the investigation of the network on stability is desired during its design. In this article we consider local input-to-state stability of such logistics networks. Their behaviour is described by a functional differential equation with a constant time-delay. We are looking for verifiable conditions that guarantee stability of the network under consideration. Lyapunov–Razumikhin functions and the local small gain condition are utilised to obtain such conditions. Our stability conditions for the logistics network are based on the information about the interconnection properties between logistic locations and their production rates. Finally, numerical results are provided to demonstrate the proposed approach. Journal: International Journal of Systems Science Pages: 845-853 Issue: 5 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.528179 File-URL: http://hdl.handle.net/10.1080/00207721.2010.528179 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:5:p:845-853 Template-Type: ReDIF-Article 1.0 Author-Name: Fu-qiang You Author-X-Name-First: Fu-qiang Author-X-Name-Last: You Author-Name: Fu-li Wang Author-X-Name-First: Fu-li Author-X-Name-Last: Wang Author-Name: Shou-ping Guan Author-X-Name-First: Shou-ping Author-X-Name-Last: Guan Title: Game theory approach to state and input simultaneous estimation for discrete-time LTV systems Abstract: This article aims to provide a simple approach realising state observation and input estimation simultaneously for discrete-time LTV systems in H∞ setting. Through solving a two-player zero sum differential game, appealing results are obtained in two folds. First, necessary and sufficient solvability conditions for state and input simultaneous estimation problem are given in terms of solution to a set of difference Riccati recursion. Second, one estimator is presented with special innovation structure, where innovation information is used to update state observation tuned by gain matrix and to provide input estimation through a projector matrix, where gain matrix and projector matrix are constructed from solution to difference Riccati recursion. At last, simulation results are provided to justify proposed approach. Journal: International Journal of Systems Science Pages: 854-860 Issue: 5 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.536397 File-URL: http://hdl.handle.net/10.1080/00207721.2010.536397 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:5:p:854-860 Template-Type: ReDIF-Article 1.0 Author-Name: Ji-Bo Wang Author-X-Name-First: Ji-Bo Author-X-Name-Last: Wang Author-Name: Ming-Zheng Wang Author-X-Name-First: Ming-Zheng Author-X-Name-Last: Wang Author-Name: Ping Ji Author-X-Name-First: Ping Author-X-Name-Last: Ji Title: Single machine total completion time minimization scheduling with a time-dependent learning effect and deteriorating jobs Abstract: In this article, we consider a single machine scheduling problem with a time-dependent learning effect and deteriorating jobs. By the effects of time-dependent learning and deterioration, we mean that the job processing time is defined by a function of its starting time and total normal processing time of jobs in front of it in the sequence. The objective is to determine an optimal schedule so as to minimize the total completion time. This problem remains open for the case of −1 < a < 0, where a denotes the learning index; we show that an optimal schedule of the problem is V-shaped with respect to job normal processing times. Three heuristic algorithms utilising the V-shaped property are proposed, and computational experiments show that the last heuristic algorithm performs effectively and efficiently in obtaining near-optimal solutions. Journal: International Journal of Systems Science Pages: 861-868 Issue: 5 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.542837 File-URL: http://hdl.handle.net/10.1080/00207721.2010.542837 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:5:p:861-868 Template-Type: ReDIF-Article 1.0 Author-Name: Hirokazu Ozaki Author-X-Name-First: Hirokazu Author-X-Name-Last: Ozaki Author-Name: Atsushi Kara Author-X-Name-First: Atsushi Author-X-Name-Last: Kara Author-Name: Zixue Cheng Author-X-Name-First: Zixue Author-X-Name-Last: Cheng Title: User-perceived reliability of unrepairable shared protection systems with functionally identical units Abstract: In this article, we investigate the reliability of M-for-N (M:N) shared protection systems. We focus on the reliability that is perceived by an end user of one of N units. We assume that any failed unit is instantly replaced by one of the M units (if available). We describe the effectiveness of such a protection system in a quantitative manner under the condition that the failed units are not repairable. Mathematical analysis gives the closed-form solution of the reliability and mean time to failure (MTTF). We also analyse several numerical examples of the reliability and MTTF. This result can be applied, for example, to the analysis and design of an integrated circuit consisting of redundant backup components. In such a device, repairing a failed component is unrealistic. The analysis provides useful information for the design for general shared protection systems in which the failed units are not repaired. Journal: International Journal of Systems Science Pages: 869-883 Issue: 5 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.543477 File-URL: http://hdl.handle.net/10.1080/00207721.2010.543477 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:5:p:869-883 Template-Type: ReDIF-Article 1.0 Author-Name: Butta Singh Author-X-Name-First: Butta Author-X-Name-Last: Singh Author-Name: Dilbag Singh Author-X-Name-First: Dilbag Author-X-Name-Last: Singh Author-Name: A.K. Jaryal Author-X-Name-First: A.K. Author-X-Name-Last: Jaryal Author-Name: K.K. Deepak Author-X-Name-First: K.K. Author-X-Name-Last: Deepak Title: Ectopic beats in approximate entropy and sample entropy-based HRV assessment Abstract: Approximate entropy (ApEn) and sample entropy (SampEn) are the promising techniques for extracting complex characteristics of cardiovascular variability. Ectopic beats, originating from other than the normal site, are the artefacts contributing a serious limitation to heart rate variability (HRV) analysis. The approaches like deletion and interpolation are currently in use to eliminate the bias produced by ectopic beats. In this study, normal R–R interval time series of 10 healthy and 10 acute myocardial infarction (AMI) patients were analysed by inserting artificial ectopic beats. Then the effects of ectopic beats editing by deletion, degree-zero and degree-one interpolation on ApEn and SampEn have been assessed. Ectopic beats addition (even 2%) led to reduced complexity, resulting in decreased ApEn and SampEn of both healthy and AMI patient data. This reduction has been found to be dependent on level of ectopic beats. Editing of ectopic beats by interpolation degree-one method is found to be superior to other methods. Journal: International Journal of Systems Science Pages: 884-893 Issue: 5 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.543478 File-URL: http://hdl.handle.net/10.1080/00207721.2010.543478 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:5:p:884-893 Template-Type: ReDIF-Article 1.0 Author-Name: Hanyong Shao Author-X-Name-First: Hanyong Author-X-Name-Last: Shao Author-Name: Qing-Long Han Author-X-Name-First: Qing-Long Author-X-Name-Last: Han Title: Less conservative delay-dependent stability criteria for linear systems with interval time-varying delays Abstract: This article provides new delay-dependent stability criteria for linear systems with interval time-varying delays. With a new Lyapunov–Krasovskii functional constructed, a tighter upper bound of its derivative is estimated. The resulting criterion has an advantage over some existing ones in the literature due to the fact that it involves fewer matrix variables and is less conservative, which is established theoretically. Two numerical examples are given to demonstrate the reduced conservatism of the proposed results. Journal: International Journal of Systems Science Pages: 894-902 Issue: 5 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.543480 File-URL: http://hdl.handle.net/10.1080/00207721.2010.543480 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:5:p:894-902 Template-Type: ReDIF-Article 1.0 Author-Name: R. Begum Author-X-Name-First: R. Author-X-Name-Last: Begum Author-Name: R.R. Sahoo Author-X-Name-First: R.R. Author-X-Name-Last: Sahoo Author-Name: S.K. Sahu Author-X-Name-First: S.K. Author-X-Name-Last: Sahu Title: A replenishment policy for items with price-dependent demand, time-proportional deterioration and no shortages Abstract: In this article, an order-level inventory system for deteriorating items has been developed with demand rate as a function of selling price. The demand and the deterioration rate are price dependent and time proportional, respectively. We have considered a perishable item that follows a three-parameter Weibull distribution deterioration. Shortages are not permitted in our model. The optimal solution is illustrated with a numerical example and the sensitivity analysis of parameters is carried out. Journal: International Journal of Systems Science Pages: 903-910 Issue: 5 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.543481 File-URL: http://hdl.handle.net/10.1080/00207721.2010.543481 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:5:p:903-910 Template-Type: ReDIF-Article 1.0 Author-Name: Taebok Kim Author-X-Name-First: Taebok Author-X-Name-Last: Kim Author-Name: Suresh Kumar Goyal Author-X-Name-First: Suresh Kumar Author-X-Name-Last: Goyal Title: Economical production and transshipment policy for coordinating multiple production sites Abstract: In this article, we study the coordination mechanism dealing with a production–transshipment policy across the multiple regions supplying multiple products. It is assumed that each production site has its own dedicated demand region consuming multiple products. The main concern is how to determine both the production quantity and the lot-apportioning policy while minimising the relevant supply chain cost. This decision issue is formulated as a non-linear mathematical model to determine several relevant decision variables. We propose the solution procedure for deriving the production–transshipment policy minimising the overall supply chain cost. Journal: International Journal of Systems Science Pages: 911-919 Issue: 5 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.543482 File-URL: http://hdl.handle.net/10.1080/00207721.2010.543482 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:5:p:911-919 Template-Type: ReDIF-Article 1.0 Author-Name: Ting-Yu Chen Author-X-Name-First: Ting-Yu Author-X-Name-Last: Chen Title: Multi-criteria decision-making methods with optimism and pessimism based on Atanassov's intuitionistic fuzzy sets Abstract: The theory of Atanassov's intuitionistic fuzzy sets (A-IFSs) developed over the last several decades has found useful application in fields requiring multiple-criteria decision analysis. Since the membership–nonmembership pair in A-IFSs belongs to the bivariate unipolarity type, this article describes an approach that relates optimism and pessimism to multi-criteria decision analysis in an intuitionistic fuzzy-decision environment. First, several optimistic and pessimistic point operators were defined to alter the estimation of decision outcomes. Next, based on the core of the estimations, optimistic and pessimistic score functions were developed to evaluate each alternative with respect to each criterion. The suitability function was then established to determine the degree to which each an alternative satisfies the decision maker's requirement. Because the information on multiple criteria corresponding to decision importance is often incomplete, this study included suitability functions in the optimisation models to account for poorly known membership grades. Using a linear equal-weighted summation method, these models were transformed into a single objective optimisation model to generate the optimal weights for criteria. The feasibility and effectiveness of the proposed methods were illustrated through a practical example. Finally, computational experiments with enormous amounts of simulation data were designed to conduct a comparative analysis on the ranking orders yielded by different optimistic/pessimistic point operators. Journal: International Journal of Systems Science Pages: 920-938 Issue: 5 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.543483 File-URL: http://hdl.handle.net/10.1080/00207721.2010.543483 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:5:p:920-938 Template-Type: ReDIF-Article 1.0 Author-Name: De-Qun Zhou Author-X-Name-First: De-Qun Author-X-Name-Last: Zhou Author-Name: Yi-Shao Huang Author-X-Name-First: Yi-Shao Author-X-Name-Last: Huang Author-Name: Ke-Jun Long Author-X-Name-First: Ke-Jun Author-X-Name-Last: Long Author-Name: Qi-Xin Zhu Author-X-Name-First: Qi-Xin Author-X-Name-Last: Zhu Title: Decentralised direct adaptive output feedback fuzzy controller for a class of large-scale nonaffine nonlinear systems and its applications Abstract: A novel cooperation-based decentralised direct adaptive fuzzy control via output feedback is developed for a class of large-scale nonaffine uncertain nonlinear systems using a direct adaptive fuzzy approach in this article. Under assumption that all the controllers share their prior information about the subsystem reference models, the interconnections between subsystems are relaxed to arbitrarily strong nonlinearities without matching conditions. The assumption on input gains is extended from typical positive constants to highly nonlinear functions. The feedback and adaptation mechanisms require neither the typical observation error filtering nor the famous strictly positive-real condition. Based on Lyapunov's direct method, the tracking errors of the closed-loop large-scale system are guaranteed to converge to tunable neighbourhoods of the origin. The proposed algorithm is applied to controlling two mechanical large-scale systems and simulation results substantiate its effectiveness. Journal: International Journal of Systems Science Pages: 939-951 Issue: 5 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.543484 File-URL: http://hdl.handle.net/10.1080/00207721.2010.543484 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:5:p:939-951 Template-Type: ReDIF-Article 1.0 Author-Name: Yong Zhang Author-X-Name-First: Yong Author-X-Name-Last: Zhang Author-Name: Huajing Fang Author-X-Name-First: Huajing Author-X-Name-Last: Fang Author-Name: Tianyu Jiang Author-X-Name-First: Tianyu Author-X-Name-Last: Jiang Title: Fault detection for nonlinear networked control systems with stochastic interval delay characterisation Abstract: In this article, we are concerned with the fault detection (FD) problem for nonlinear networked control systems (NCSs) with network-induced stochastic interval delay. By employing the information of probabilistic distribution of networked-induced time-varying delay, nonlinear constraint and the FD filter, nonlinear stochastic delay system model is established. Based on the obtained nonlinear model, utilising FD filter as residual generator, FD of nonlinear NCSs is formulated as nonlinear H∞-filtering problem. Especially, the stochastic stability and prescribed H∞ attenuation level are achieved using the Lyapunov functional approach, the desired FD filter is constructed in terms of certain linear matrix inequalities, which depends on not only nonlinear level but also on delay-interval and delay-interval-occurrence-rate. Numerical examples are provided to illustrate the effectiveness and applicability of proposed technique. Journal: International Journal of Systems Science Pages: 952-960 Issue: 5 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.543485 File-URL: http://hdl.handle.net/10.1080/00207721.2010.543485 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:5:p:952-960 Template-Type: ReDIF-Article 1.0 Author-Name: Zhenwei Liu Author-X-Name-First: Zhenwei Author-X-Name-Last: Liu Author-Name: Huaguang Zhang Author-X-Name-First: Huaguang Author-X-Name-Last: Zhang Author-Name: Qingling Zhang Author-X-Name-First: Qingling Author-X-Name-Last: Zhang Title: Novel compensation-based non-fragile control for uncertain neutral systems with time-varying delays Abstract: This article studies the non-fragile H∞ control problem for a class of uncertain linear neutral systems with time-varying delays, where the delay in neutral-type term includes a fast-varying case (i.e. the derivative of delay is more than one), which is seldom considered in current literature. The less conservative delay-dependent H∞ control results for this systems are proposed by applying a new Lyapunov–Krasovskii functional and a geometric series compensation method. Based on the new functional, the systems with fast-varying neutral-type delay can be handled. The benefit brought by applying the compensation method is that many more useful elements can be included in criteria, which are generally ignored when estimating the upper bound of the derivative of Lyapunov–Krasovskii functional. A numerical example is provided to verify the effectiveness of the proposed criteria. Journal: International Journal of Systems Science Pages: 961-971 Issue: 5 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.543487 File-URL: http://hdl.handle.net/10.1080/00207721.2010.543487 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:5:p:961-971 Template-Type: ReDIF-Article 1.0 Author-Name: Chih-Ming Hsu Author-X-Name-First: Chih-Ming Author-X-Name-Last: Hsu Title: Applying genetic programming and ant colony optimisation to improve the geometric design of a reflector Abstract: The lighting performance of an LED (light-emitting diode) flash is significantly influenced by the geometric form of a reflector. Previously, design engineers have usually determined the geometric design of a reflector according to the principles of optics and their own experience. Some real reflectors have then been created to verify the feasibility and performance of a certain geometric design. This, however, is a costly and time-consuming procedure. Furthermore, the geometric design of a reflector cannot be proven to be actually optimal. This study proposes a systematic approach based on genetic programming (GP) and ant colony optimisation (ACO), called the GP–ACO procedure, to improve the geometric design of a reflector. A case study is used to demonstrate the feasibility and effectiveness of the proposed optimisation procedure. The results show that all the crucial quality characteristics of an LED flash fulfil the required specifications; thus, the optimal geometric parameter settings of the reflector obtained can be directly applied to mass production. Consequently, the proposed GP–ACO procedure can be considered an effective method for resolving general multi-response parameter design problems. Journal: International Journal of Systems Science Pages: 972-986 Issue: 5 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.547627 File-URL: http://hdl.handle.net/10.1080/00207721.2010.547627 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:5:p:972-986 Template-Type: ReDIF-Article 1.0 Author-Name: Jing Hou Author-X-Name-First: Jing Author-X-Name-Last: Hou Author-Name: Lindu Zhao Author-X-Name-First: Lindu Author-X-Name-Last: Zhao Title: Backup agreements with penalty scheme under supply disruptions Abstract: This article considers a supply chain for a single product involving one retailer and two independent suppliers, when the main supplier might fail to supply the products, the backup supplier can always supply the products at a higher price. The retailer could use the backup supplier as a regular provider or a stand-by source by reserving some products at the supplier. A backup agreement with penalty scheme is constructed between the retailer and the backup supplier to mitigate the supply disruptions and the demand uncertainty. The expected profit functions and the optimal decisions of the two players are derived through a sequential optimisation process. Then, the sensitivity of two players’ expected profits to various input factors is examined through numerical examples. The impacts of the disruption probability and the demand uncertainty on the backup agreement are also investigated, which could provide guideline for how to use each sourcing method. Journal: International Journal of Systems Science Pages: 987-996 Issue: 5 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.617891 File-URL: http://hdl.handle.net/10.1080/00207721.2011.617891 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:5:p:987-996 Template-Type: ReDIF-Article 1.0 Author-Name: Min Shi Author-X-Name-First: Min Author-X-Name-Last: Shi Author-Name: Yajuan Yu Author-X-Name-First: Yajuan Author-X-Name-Last: Yu Author-Name: Qi Xu Author-X-Name-First: Qi Author-X-Name-Last: Xu Title: Delay-dependent consensus condition for a class of fractional-order linear multi-agent systems with input time-delay Abstract: The consensus problem of a class of fractional-order linear multi-agent systems with distributed control containing input time-delay is investigated. By adopting the frequency domain analysis and generalised Nyquist criterion for the fractional-order time-delay systems, the delay-dependent consensus condition is obtained. Then, we are interested in finding the maximum time-delay tolerance and give an exact formula for calculating the maximum time-delay to maintain the system is consensusable. As illustrated by the numerical examples, the proposed theoretical results work effectively and accurately. Journal: International Journal of Systems Science Pages: 669-678 Issue: 4 Volume: 50 Year: 2019 Month: 3 X-DOI: 10.1080/00207721.2019.1567865 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1567865 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:4:p:669-678 Template-Type: ReDIF-Article 1.0 Author-Name: Tian Dai Author-X-Name-First: Tian Author-X-Name-Last: Dai Author-Name: Lingjuan Miao Author-X-Name-First: Lingjuan Author-X-Name-Last: Miao Author-Name: Haijun Shao Author-X-Name-First: Haijun Author-X-Name-Last: Shao Title: A robust underwater navigation method fusing data of gravity anomaly and magnetic anomaly Abstract: Navigation using geophysical information is often implemented on underwater vehicles to correct the position errors of inertial navigation system. In this paper, we fuse the information of gravity anomaly and magnetic anomaly by developing an improved elitism based multi-objective artificial bee colony algorithm. In the proposed algorithm, multi-objective matching strategy and sequence matching strategy are adopted for the purpose of reducing the possibility of mismatching. Specifically, the mean absolute difference (MAD) of gravity anomaly and the MAD of magnetic anomaly are selected as two matching objective. Single-point matching is changed to sequence matching by introducing affine transformation. To keep diversity without losing too much convergence speed, two elites chosen by different strategies are used to generate new food source. Finally, in order to avoid premature convergence, a new mechanism of scout bee phase is explored. The maximum capacity of external archive is regarded as the monitoring target. Simulations based on the actual gravity anomaly base map and the actual magnetic anomaly base map have been performed for the validation of the proposed algorithm. Journal: International Journal of Systems Science Pages: 679-693 Issue: 4 Volume: 50 Year: 2019 Month: 3 X-DOI: 10.1080/00207721.2019.1567866 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1567866 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:4:p:679-693 Template-Type: ReDIF-Article 1.0 Author-Name: Ruirui Duan Author-X-Name-First: Ruirui Author-X-Name-Last: Duan Author-Name: Junmin Li Author-X-Name-First: Junmin Author-X-Name-Last: Li Title: Distributed H∞ filter design for T-S fuzzy systems with Sigma-Delta quantisation via non-PDC scheme Abstract: The paper focuses on the distributed $ {H_\infty } $ H∞ filtering problem over wireless sensor networks (WSNs) for a class of discrete-time T-S fuzzy systems with immeasurable premise variables and Sigma-Delta $ (\sum \Delta ) $ (∑Δ) quantiser. Two defectives are considered including packet losses and multiplicative noises, which can be represented by some mutual independent random variables, respectively. Unlike conventional logarithmic quantiser, by utilising the Sigma-Delta dynamic quantiser, the quantised measurement outputs are broadcasted to the distributed filters over WSNs, only requiring a finite number of quantisation levels, and the static errors can be eliminated simultaneously. Using non-PDC scheme, an estimated premise variable-dependent distributed $ {H_\infty } $ H∞ filter is designed over WSNs. Then treating the premise variables as uncertainties, a robust distributed filtering problem is considered for such an uncertain filtering error system. Based on the fuzzy Lyapunov function, the less conservative mean-square stable conditions with a prescribed $ {H_\infty } $ H∞ performance index for the uncertain filtering error dynamical systems are presented. The filter parameters are determined by solving a set of linear matrix inequalities (LMIs). Finally, a tunnel diode circuit model and a numerical example are presented to illustrate the theoretical findings. Journal: International Journal of Systems Science Pages: 694-712 Issue: 4 Volume: 50 Year: 2019 Month: 3 X-DOI: 10.1080/00207721.2019.1567867 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1567867 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:4:p:694-712 Template-Type: ReDIF-Article 1.0 Author-Name: Chao Guo Author-X-Name-First: Chao Author-X-Name-Last: Guo Author-Name: Xue-Jun Xie Author-X-Name-First: Xue-Jun Author-X-Name-Last: Xie Title: Global output feedback control of nonlinear time-delay systems with input matching uncertainty and unknown output function Abstract: This paper studies the problem of global output feedback control for nonlinear time-delay systems with input matching uncertainty and the unknown output function, whose nonlinearities are bounded by lower triangular linear unmeasured states multiplying the unknown constant, polynomial-of-output and polynomial-of-input growth rates. By constructing a new extended state observer and skillfully combining the dynamic gain method, backstepping method and Lyapunov–Krasovskii theorem, a delay-independent output feedback controller can be developed with only one dynamic gain. It is proved that all the signals of the closed-loop system are bounded, the states of the original system and the corresponding observer converge to zero, and the estimation of input matching uncertainty converges to its actual value. Two examples demonstrate the effectiveness of the control scheme. Journal: International Journal of Systems Science Pages: 713-725 Issue: 4 Volume: 50 Year: 2019 Month: 3 X-DOI: 10.1080/00207721.2019.1567868 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1567868 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:4:p:713-725 Template-Type: ReDIF-Article 1.0 Author-Name: Wenjie Si Author-X-Name-First: Wenjie Author-X-Name-Last: Si Author-Name: Lin Qi Author-X-Name-First: Lin Author-X-Name-Last: Qi Author-Name: Ning Hou Author-X-Name-First: Ning Author-X-Name-Last: Hou Author-Name: Xunde Dong Author-X-Name-First: Xunde Author-X-Name-Last: Dong Title: Finite-time adaptive neural control for uncertain nonlinear time-delay systems with actuator delay and full-state constraints Abstract: This paper investigates finite-time adaptive neural tracking control for a class of nonlinear time-delay systems subject to the actuator delay and full-state constraints. The difficulty is to consider full-state time delays and full-state constraints in finite-time control design. First, finite-time control method is used to achieve fast transient performances, and new Lyapunov–Krasovskii functionals are appropriately constructed to compensate time delays, in which a predictor-like term is utilized to transform input delayed systems into delay-free systems. Second, neural networks are utilized to deal with the unknown functions, the Gaussian error function is used to express the continuously differentiable asymmetric saturation nonlinearity, and barrier Lyapunov functions are employed to guarantee that full-state signals are restricted within certain fixed bounds. At last, based on finite-time stability theory and Lyapunov stability theory, the finite-time tracking control question involved in full-state constraints is solved, and the designed control scheme reduces learning parameters. It is shown that the presented neural controller ensures that all closed-loop signals are bounded and the tracking error converges to a small neighbourhood of the origin in a finite time. The simulation studies are provided to further illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 726-738 Issue: 4 Volume: 50 Year: 2019 Month: 3 X-DOI: 10.1080/00207721.2019.1567869 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1567869 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:4:p:726-738 Template-Type: ReDIF-Article 1.0 Author-Name: Jianchen Hu Author-X-Name-First: Jianchen Author-X-Name-Last: Hu Author-Name: Baocang Ding Author-X-Name-First: Baocang Author-X-Name-Last: Ding Title: Dynamic output feedback robust MPC with convex optimisation for system with polytopic uncertainty Abstract: This paper proposes a dynamic output feedback robust model predictive control for system with polytopic model uncertainty. Earlier researches on this topic utilise iterative methods to solve the non-convex optimisation problem which are computationally demanding. In order to reduce the computational burden, we explore a new approach in this paper, where, by utilising some proper matrix transformations, a computationally more efficient but conservative convex optimisation problem is formulated which can be solved in terms of linear matrix inequalities. Furthermore, we try to reduce the conservativeness by introducing a nonsingular matrix as a degree of freedom. The recursive feasibility and the convergence of the augmented state to the equilibrium point are guaranteed. The effectiveness of the proposed approach is illustrated by two numerical examples. Journal: International Journal of Systems Science Pages: 739-748 Issue: 4 Volume: 50 Year: 2019 Month: 3 X-DOI: 10.1080/00207721.2019.1568606 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1568606 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:4:p:739-748 Template-Type: ReDIF-Article 1.0 Author-Name: Yanbo Yang Author-X-Name-First: Yanbo Author-X-Name-Last: Yang Author-Name: Yuemei Qin Author-X-Name-First: Yuemei Author-X-Name-Last: Qin Author-Name: Quan Pan Author-X-Name-First: Quan Author-X-Name-Last: Pan Author-Name: Yanting Yang Author-X-Name-First: Yanting Author-X-Name-Last: Yang Author-Name: Zhi Li Author-X-Name-First: Zhi Author-X-Name-Last: Li Title: Recursive linear optimal filter for Markovian jump linear systems with multi-step correlated noises and multiplicative random parameters Abstract: This paper presents the state estimation problem for discrete-time Markovian jump linear systems with multi-step correlated additive noises and multiplicative random parameters (termed as MCNMP). A recursive linear optimal filter for the considered MCNMP (which is abbreviated as RLMMF) is derived based on state augmentation between the original state and mode uncertainty, with the help of estimating the multi-step correlated additive noises online simultaneously. A maneuvering target tracking example under one-step and two-step correlated additive noises scenarios with different cases (i.e. Gaussian/Gaussian mixture distribution and no multiplicative noises) is simulated to validate the designed filter. Journal: International Journal of Systems Science Pages: 749-763 Issue: 4 Volume: 50 Year: 2019 Month: 3 X-DOI: 10.1080/00207721.2019.1568607 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1568607 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:4:p:749-763 Template-Type: ReDIF-Article 1.0 Author-Name: Jing Xu Author-X-Name-First: Jing Author-X-Name-Last: Xu Author-Name: Yugang Niu Author-X-Name-First: Yugang Author-X-Name-Last: Niu Title: Disturbance-observer-based LQR control of singularly perturbed systems via recursive decoupling methods Abstract: This paper addresses the disturbance-observer-based linear quadratic regulation (LQR) problem of singularly perturbed systems subject to harmonic disturbances. To reduce the computational burden and facilitate the on-board implementation, a recursive matrix decoupling method is proposed to decompose the stiff singularly perturbed model into the block-diagonal form. Then, a robust LQR controller is designed based on the equivalent decoupled system, which consists of a state feedback controller for performance optimisation and a robust controller for disturbance compensation. Moreover, the designed controller is integrated with a finite frequency disturbance observer to attenuate the effect of harmonic disturbances. Finally, a simulation example on a DC motor system is provided to verify the effectiveness of the proposed design method. Journal: International Journal of Systems Science Pages: 764-776 Issue: 4 Volume: 50 Year: 2019 Month: 3 X-DOI: 10.1080/00207721.2019.1568608 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1568608 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:4:p:764-776 Template-Type: ReDIF-Article 1.0 Author-Name: Sabir Djaidja Author-X-Name-First: Sabir Author-X-Name-Last: Djaidja Author-Name: Qinghe Wu Author-X-Name-First: Qinghe Author-X-Name-Last: Wu Title: Consensus of double-integrator multi-agent systems without relative states derivative under relative-state dependent measurement noises Abstract: This paper proposes a consensus protocol for continuous-time double-integrator multi-agent systems under noisy communication in directed topologies. Each agent’s control input relies on its own velocity and the relative positions with neighbours; it does not require the relative velocities. The agent receives its neighbours’ positions information corrupted by time-varying measurement noises whose intensities are proportional to the absolute relative distance that separates the agent from the neighbours. The consensus protocol is mainly based on the velocity damping gain to derive conditions under which the unbiased mean square χ-consensus is achieved in directed fixed topologies, and the unbiased mean square average consensus is achieved in directed switching topologies. The mean square state errors are quantified for both the positions and velocities. Finally, to illustrate the approach presented, some numerical simulations are performed. Journal: International Journal of Systems Science Pages: 777-790 Issue: 4 Volume: 50 Year: 2019 Month: 3 X-DOI: 10.1080/00207721.2019.1570382 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1570382 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:4:p:777-790 Template-Type: ReDIF-Article 1.0 Author-Name: Juan J. Montesinos-García Author-X-Name-First: Juan J. Author-X-Name-Last: Montesinos-García Author-Name: Rafael Martínez-Guerra Author-X-Name-First: Rafael Author-X-Name-Last: Martínez-Guerra Title: A numerical estimation of the fractional-order Liouvillian systems and its application to secure communications Abstract: This paper introduces a method for the numerical estimation of the fractional derivative of a signal, a smoothed sliding modes state observer is used to make the estimation. As application for the estimator a color image encryption algorithm is given, the algorithm is based on the synchronisation of fractional chaotic Liouvillian systems and its main characteristics are the capability to keep data safe from the most common types of cryptanalysis and handling large colour images while producing no data loss. Journal: International Journal of Systems Science Pages: 791-806 Issue: 4 Volume: 50 Year: 2019 Month: 3 X-DOI: 10.1080/00207721.2019.1572810 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1572810 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:4:p:791-806 Template-Type: ReDIF-Article 1.0 Author-Name: Cheng Gong Author-X-Name-First: Cheng Author-X-Name-Last: Gong Author-Name: Guopu Zhu Author-X-Name-First: Guopu Author-X-Name-Last: Zhu Author-Name: Yan Shi Author-X-Name-First: Yan Author-X-Name-Last: Shi Title: Exponential stability analysis of time-delay systems based on Taylor expansion-based weighted integral inequality Abstract: This paper investigates the problem of exponential stability analysis of linear time-delay systems. First, based on the Gram-Schmidt-based integral inequality and the Taylor expansion of exponential function, we develop a new weighted multiple integral inequality called Taylor expansion-based weighted integral inequality. Second, a new Lyapunov-krasovskii functional is constructed, and then, with the help of the Taylor expansion-based inequality, a new exponential stability criterion is established in terms of linear matrix inequality. Finally, numerical examples are presented to show the effectiveness of the newly established stability criterion. Journal: International Journal of Systems Science Pages: 807-816 Issue: 4 Volume: 50 Year: 2019 Month: 3 X-DOI: 10.1080/00207721.2019.1573272 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1573272 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:4:p:807-816 Template-Type: ReDIF-Article 1.0 Author-Name: Xudong Wang Author-X-Name-First: Xudong Author-X-Name-Last: Wang Author-Name: Zhongyang Fei Author-X-Name-First: Zhongyang Author-X-Name-Last: Fei Author-Name: Jinyong Yu Author-X-Name-First: Jinyong Author-X-Name-Last: Yu Author-Name: Zhiwei Du Author-X-Name-First: Zhiwei Author-X-Name-Last: Du Title: Passivity-based event-triggered fault tolerant control for VTOL with actuator failure and parameter uncertainties Abstract: This paper investigates passivity based fault tolerant control (FTC) for Vertical Take-off and Landing aircraft system subject to actuator failure under event-driven transmission mechanism. Firstly, a polytopic model is proposed to describe the aircraft dynamics with parameter uncertainties, which is more general in practice. In order to process the lose efficacy of actuator, the failure of actuator is modelled as multiplicative fault model. In addition, the hybrid event trigger transmission mechanism is introduced in FTC to save communication resource. The proposed design method not only ensures the closed-loop system is strictly passive with a prescribed passivity performance index, but also gets rid of Zeno phenomenon fundamentally, which may exist in continuous event trigger scheme. Finally, simulation results are presented to show the validity and application of the proposed method. Journal: International Journal of Systems Science Pages: 817-828 Issue: 4 Volume: 50 Year: 2019 Month: 3 X-DOI: 10.1080/00207721.2019.1573273 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1573273 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:4:p:817-828 Template-Type: ReDIF-Article 1.0 Author-Name: Iván Trejo-Zúñiga Author-X-Name-First: Iván Author-X-Name-Last: Trejo-Zúñiga Author-Name: Sergio M. Delfín-Prieto Author-X-Name-First: Sergio M. Author-X-Name-Last: Delfín-Prieto Author-Name: Rafael Martínez-Guerra Author-X-Name-First: Rafael Author-X-Name-Last: Martínez-Guerra Title: Fractional controller based on a robust PIα observer for uncertain fractional systems Abstract: In this paper, we present a fractional sliding mode controller based on a robust $ PI^{\alpha } $ PIα observer for fractional systems with bounded disturbances. This controller is introduced to achieve closed-loop Mittag–Leffler stability for uncertain fractional systems; meanwhile, the robust $ PI^{\alpha } $ PIα observer is designed such that a $ \mathcal {L}_{2} $ L2 stability is obtained via quadratic Lyapunov functions and the tuning is achieved with linear matrix inequality approach. The performance and stability of the proposed controller are analysed and demonstrated through a generalised $ n\alpha $ nα-differentiator. Finally, to illustrate the effectiveness of the proposed approach a comparative analysis against the fractional Super-Twisting is carried out. Journal: International Journal of Systems Science Pages: 829-842 Issue: 4 Volume: 50 Year: 2019 Month: 3 X-DOI: 10.1080/00207721.2019.1574043 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1574043 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:4:p:829-842 Template-Type: ReDIF-Article 1.0 Author-Name: Shenghuang He Author-X-Name-First: Shenghuang Author-X-Name-Last: He Author-Name: Yuanqing Wu Author-X-Name-First: Yuanqing Author-X-Name-Last: Wu Author-Name: Yanzhou Li Author-X-Name-First: Yanzhou Author-X-Name-Last: Li Title: Non-fragile sampled-data control of network systems subject to time-delay Abstract: This paper studies the consensus problem of non-linear network systems subject to time-delay through aperiodic sampled-data control, which is more desirable and flexible than periodic sampling control. By receiving the relative information of the neighboring nodes, each node can obtain control input signals at the discrete sampling instants. A new stability criterion is established for network systems via using a time-dependent Lyapunov functional and the free-weighting matrix method. The maximum upper bound of sampling interval can be achieved by solving Linear matrix inequality optimization problem. Under the basic work of a non-fragile sampled-data controller, network systems with time-delay are asymptotically stable. In the end, two numerical simulation examples can be provided to illustrate the validity of the application of the proposed algorithm. Journal: International Journal of Systems Science Pages: 843-857 Issue: 4 Volume: 50 Year: 2019 Month: 3 X-DOI: 10.1080/00207721.2019.1575486 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1575486 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:4:p:843-857 Template-Type: ReDIF-Article 1.0 Author-Name: Hanqi Shu Author-X-Name-First: Hanqi Author-X-Name-Last: Shu Author-Name: Qiankun Song Author-X-Name-First: Qiankun Author-X-Name-Last: Song Author-Name: Jing Liang Author-X-Name-First: Jing Author-X-Name-Last: Liang Author-Name: Zhenjiang Zhao Author-X-Name-First: Zhenjiang Author-X-Name-Last: Zhao Author-Name: Yurong Liu Author-X-Name-First: Yurong Author-X-Name-Last: Liu Author-Name: Fuad E. Alsaadi Author-X-Name-First: Fuad E. Author-X-Name-Last: Alsaadi Title: Global exponential stability in Lagrange sense for quaternion-valued neural networks with leakage delay and mixed time-varying delays Abstract: This paper deals with the global exponential stability in Lagrange sense for quaternion-valued neural networks (QVNNs) with leakage delay, discrete time-varying delays and distributed delays. By structuring an advisable Lyapunov–Krasovskii functional in quaternion field, and adopting free-weighting-matrix method and inequality technique, a sufficient condition in quaternion-valued linear matrix inequality (LMI) to guarantee the global exponential stability in Lagrange sense is acquired, and the domain of attraction is estimated. A numerical example with simulations is supplied to confirm the availability and feasibility of the raised result. Journal: International Journal of Systems Science Pages: 858-870 Issue: 4 Volume: 50 Year: 2019 Month: 3 X-DOI: 10.1080/00207721.2019.1586001 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1586001 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:4:p:858-870 Template-Type: ReDIF-Article 1.0 Author-Name: Jingyang Mao Author-X-Name-First: Jingyang Author-X-Name-Last: Mao Author-Name: Derui Ding Author-X-Name-First: Derui Author-X-Name-Last: Ding Author-Name: Guoliang Wei Author-X-Name-First: Guoliang Author-X-Name-Last: Wei Author-Name: Hongjian Liu Author-X-Name-First: Hongjian Author-X-Name-Last: Liu Title: Networked recursive filtering for time-delayed nonlinear stochastic systems with uniform quantisation under Round-Robin protocol Abstract: In this paper, the design of networked recursive filter is investigated for a kind of nonlinear stochastic systems subject to missing measurements, fixed time-delay and uniform quantisation under the Round-Robin protocol. In a digital platform, the information coming from multi-sensors could be subject to missing measurements due to the environment effect and then need to be transformed into digital signals via uniform quantizers. In addition, the Round-Robin protocol is adopted to govern the token accessing to channel media so as to both save energy and mitigate the data congestion. A novel extended Kalman-type recursive filter is constructed that firstly combines the Round-Robin protocol, namely, in the form of the augmentation of the plant system dynamics and the protocol-induced periodic measurements. In the simultaneous consideration of system delays, missing measurements, uniform quantisation, as well as the Round-Robin protocol, the purpose for the discussed filtering problem is to obtain a set of filter parameters over a finite-horizon to minimise the upper bound of filtering error covariance as far as possible. Via elaborate mathematical analysis, the desired filter parameter is obtained by virtue of solving two Riccati-type optimisation equations, which are dependent on the latest estimation states. The genetic algorithm has been introduced to optimise the dynamic parameter selections. In addition, it is revealed in theory that the trace of the upper bound of filtering error covariance is non-decreasing as the quantisation level increases. Finally, the effectiveness of the proposed design scheme is inspected by a discretised maneuvering target tracking system. Journal: International Journal of Systems Science Pages: 871-884 Issue: 4 Volume: 50 Year: 2019 Month: 3 X-DOI: 10.1080/00207721.2019.1586002 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1586002 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:4:p:871-884 Template-Type: ReDIF-Article 1.0 Author-Name: Waseem Aslam Butt Author-X-Name-First: Waseem Aslam Author-X-Name-Last: Butt Author-Name: Lin Yan Author-X-Name-First: Lin Author-X-Name-Last: Yan Author-Name: Kendrick Amezquita S. Author-X-Name-First: Kendrick Author-X-Name-Last: Amezquita S. Title: Adaptive integral dynamic surface control of a hypersonic flight vehicle Abstract: In this article, non-linear adaptive dynamic surface air speed and flight path angle control designs are presented for the longitudinal dynamics of a flexible hypersonic flight vehicle. The tracking performance of the control design is enhanced by introducing a novel integral term that caters to avoiding a large initial control signal. To ensure feasibility, the design scheme incorporates magnitude and rate constraints on the actuator commands. The uncertain non-linear functions are approximated by an efficient use of the neural networks to reduce the computational load. A detailed stability analysis shows that all closed-loop signals are uniformly ultimately bounded and the L∞$\mathcal {L}_{\infty }$ tracking performance is guaranteed. The robustness of the design scheme is verified through numerical simulations of the flexible flight vehicle model. Journal: International Journal of Systems Science Pages: 1717-1728 Issue: 10 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.828798 File-URL: http://hdl.handle.net/10.1080/00207721.2013.828798 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:10:p:1717-1728 Template-Type: ReDIF-Article 1.0 Author-Name: Hongdong Fan Author-X-Name-First: Hongdong Author-X-Name-Last: Fan Author-Name: Zhe Xu Author-X-Name-First: Zhe Author-X-Name-Last: Xu Author-Name: Shiwei Chen Author-X-Name-First: Shiwei Author-X-Name-Last: Chen Title: Optimally maintaining a multi-state system with limited imperfect preventive repairs Abstract: In this paper, the optimal maintenance policy for a multi-state system with no observation is considered. Different from most existing works, only a limited number of imperfect preventive maintenance actions can be performed between two successive replacements. Assume that the system's deterioration state cannot be observed during its operation expected after each replacement, and it evolves as a discrete-time Markov chain with a finite state space. After choosing the information state as state variable, the problem is then formulated as a Markov decision process over the infinite time horizon. In order to increase the computational efficiency, several key structural properties are developed by minimising the total expected cost per unit time. The existence of the optimal threshold-type maintenance policy is proved and the monotonicity of the threshold is obtained. Finally, a numerical example is given to illustrate the optimal policy. Journal: International Journal of Systems Science Pages: 1729-1740 Issue: 10 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.828799 File-URL: http://hdl.handle.net/10.1080/00207721.2013.828799 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:10:p:1729-1740 Template-Type: ReDIF-Article 1.0 Author-Name: Lin Tie Author-X-Name-First: Lin Author-X-Name-Last: Tie Author-Name: Yan Lin Author-X-Name-First: Yan Author-X-Name-Last: Lin Title: On controllability of two-dimensional discrete-time bilinear systems Abstract: In this paper, controllability of two-dimensional discrete-time bilinear systems is studied. Sufficient conditions for the systems to be controllable are presented. In particular, the control inputs are computed to achieve the state transition for the controllable systems by using the root locus technique. Examples are also provided to illustrate the results of the paper. Journal: International Journal of Systems Science Pages: 1741-1751 Issue: 10 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.834999 File-URL: http://hdl.handle.net/10.1080/00207721.2013.834999 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:10:p:1741-1751 Template-Type: ReDIF-Article 1.0 Author-Name: Nita H. Shah Author-X-Name-First: Nita H. Author-X-Name-Last: Shah Author-Name: Digeshkumar B. Shah Author-X-Name-First: Digeshkumar B. Author-X-Name-Last: Shah Author-Name: Dushyantkumar G. Patel Author-X-Name-First: Dushyantkumar G. Author-X-Name-Last: Patel Title: Optimal transfer, ordering and payment policies for joint supplier–buyer inventory model with price-sensitive trapezoidal demand and net credit Abstract: This study aims at formulating an integrated supplier–buyer inventory model when market demand is variable price-sensitive trapezoidal and the supplier offers a choice between discount in unit price and permissible delay period for settling the accounts due against the purchases made. This type of trade credit is termed as ‘net credit’. In this policy, if the buyer pays within offered time M1, then the buyer is entitled for a cash discount; otherwise the full account must be settled by the time M2; where M2 > M1 ⩾ 0. The goal is to determine the optimal selling price, procurement quantity, number of transfers from the supplier to the buyer and payment time to maximise the joint profit per unit time. An algorithm is worked out to obtain the optimal solution. A numerical example is given to validate the proposed model. The managerial insights based on sensitivity analysis are deduced. Journal: International Journal of Systems Science Pages: 1752-1761 Issue: 10 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.835000 File-URL: http://hdl.handle.net/10.1080/00207721.2013.835000 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:10:p:1752-1761 Template-Type: ReDIF-Article 1.0 Author-Name: M. Palanivel Author-X-Name-First: M. Author-X-Name-Last: Palanivel Author-Name: R. Uthayakumar Author-X-Name-First: R. Author-X-Name-Last: Uthayakumar Title: Finite horizon EOQ model for non-instantaneous deteriorating items with price and advertisement dependent demand and partial backlogging under inflation Abstract: This paper deals with an economic order quantity (EOQ) model for non-instantaneous deteriorating items with price and advertisement dependent demand pattern under the effect of inflation and time value of money over a finite planning horizon. In this model, shortages are allowed and partially backlogged. The backlogging rate is dependent on the waiting time for the next replenishment. This paper aids the retailer in minimising the total inventory cost by finding the optimal interval and the optimal order quantity. An algorithm is designed to find the optimum solution of the proposed model. Numerical examples are given to demonstrate the results. Also, the effect of changes in the different parameters on the optimal total cost is graphically presented and the implications are discussed in detail. Journal: International Journal of Systems Science Pages: 1762-1773 Issue: 10 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.835001 File-URL: http://hdl.handle.net/10.1080/00207721.2013.835001 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:10:p:1762-1773 Template-Type: ReDIF-Article 1.0 Author-Name: Masoumeh Azadegan Author-X-Name-First: Masoumeh Author-X-Name-Last: Azadegan Author-Name: Mohammad T.H. Beheshti Author-X-Name-First: Mohammad T.H. Author-X-Name-Last: Beheshti Author-Name: Babak Tavassoli Author-X-Name-First: Babak Author-X-Name-Last: Tavassoli Title: Design of proportional-derivative-type state feedback controllers for congestion control of transmission control protocol networks Abstract: A new proportional-derivative-type state feedback controller is proposed for congestion control of transmission control protocol (TCP) networks. An analytical TCP model is adopted. In the proposed control scheme, it is possible to efficiently control the TCP traffic using only the queue length at the router without the need to know the TCP window size which is not available locally. The results are presented in terms of delay-dependent linear matrix inequality. The proposed method is verified by simulation examples using NS software, and the effectiveness and superiority of our method over other control schemes, such as the proportional-integral, random early detection and generalised minimum variancemethods, are also shown. Journal: International Journal of Systems Science Pages: 1774-1779 Issue: 10 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.835002 File-URL: http://hdl.handle.net/10.1080/00207721.2013.835002 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:10:p:1774-1779 Template-Type: ReDIF-Article 1.0 Author-Name: Nantiwat Pholdee Author-X-Name-First: Nantiwat Author-X-Name-Last: Pholdee Author-Name: Sujin Bureerat Author-X-Name-First: Sujin Author-X-Name-Last: Bureerat Title: An efficient optimum Latin hypercube sampling technique based on sequencing optimisation using simulated annealing Abstract: This paper proposes a new optimal Latin hypercube sampling method (OLHS) for design of a computer experiment. The new method is based on solving sequencing and continuous optimisation using simulated annealing. There are two sets of design variables used in the optimisation process: sequencing and real number variables. The special mutation operator is developed to deal with such design variables. The performance of the proposed numerical strategy is tested and compared with three established OLHS methods, namely genetic algorithm (GA), enhanced stochastic evolutionary algorithm (ESEA) and successive local enumeration (SLE). Based on 30 test problems with various design dimensions and numbers of sampling points, the proposed method gives the best results. The method can generate an optimum set of sampling points within reasonable computing time; therefore, it can be considered as a powerful tool for design of computer experiments. Journal: International Journal of Systems Science Pages: 1780-1789 Issue: 10 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.835003 File-URL: http://hdl.handle.net/10.1080/00207721.2013.835003 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:10:p:1780-1789 Template-Type: ReDIF-Article 1.0 Author-Name: Dmitry Vengertsev Author-X-Name-First: Dmitry Author-X-Name-Last: Vengertsev Author-Name: Hongkeun Kim Author-X-Name-First: Hongkeun Author-X-Name-Last: Kim Author-Name: Jin Heon Seo Author-X-Name-First: Jin Heon Author-X-Name-Last: Seo Author-Name: Hyungbo Shim Author-X-Name-First: Hyungbo Author-X-Name-Last: Shim Title: Consensus of output-coupled high-order linear multi-agent systems under deterministic and Markovian switching networks Abstract: Consensus problem for high-order multi-agent systems is considered under deterministic and Markovian switching topologies. Only relative output information of agents is assumed to be available through the networks. First, a necessary and sufficient condition for achieving a consensus under a fixed communication network is presented. Based on this result and the stability of switched systems, a high-order multi-agent system with the proposed low-gain controller is shown to reach a consensus under deterministic switching network if the total time when the network is disconnected is, in some senses, smaller than the total time of the network being connected. Furthermore, the conditions sufficient for a high-order multi-agent system to reach an almost sure and mean-square consensus, under Markovian switching networks, are presented. Finally, illustrative examples are given to demonstrate the results. Journal: International Journal of Systems Science Pages: 1790-1799 Issue: 10 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.835884 File-URL: http://hdl.handle.net/10.1080/00207721.2013.835884 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:10:p:1790-1799 Template-Type: ReDIF-Article 1.0 Author-Name: A. Krishnamoorthy Author-X-Name-First: A. Author-X-Name-Last: Krishnamoorthy Author-Name: Sajeev S. Nair Author-X-Name-First: Sajeev S. Author-X-Name-Last: Nair Author-Name: Viswanath C. Narayanan Author-X-Name-First: Viswanath C. Author-X-Name-Last: Narayanan Title: Production inventory with service time and interruptions Abstract: This paper considers an (s,S) production inventory system with positive service time, with time for producing each item following Erlang distribution. Customers arrive according to a Poisson process. A customer who arrives when there is no inventory in the system is considered lost. On the other hand, a customer who finds a busy server with at least one inventory in the system joins a queue of infinite capacity. When the inventory level falls to s, production process is switched on, and it is switched off when the inventory level reaches back to S. Service time to each customer also follows an Erlang distribution. The service of a customer may be interrupted, where the time for such a phenomenon follows an exponential distribution, whenever it occurs. An interrupted service, after repair, resumes from where it was stopped. The correction/repair time follows an exponential distribution. We assume that the service of a single customer may encounter any number of interruptions and that the customer being served waits there until his service is completed. Moreover, at a time the server is subject to at most one interruption. We also assume that no inventory is lost due to a service interruption. Like the service process, the production process also is subject to interruptions, where the duration to an interruption follows an exponential distribution. However, in contrast to the service interruption, in the case of interruption to production process, we assume that the item being processed is lost because of interruption. That is, the production process, on being interrupted, restarts from the beginning, after repair. The repair time of an interrupted production process follows exponential distribution. Few of the last service phases are assumed to be protected in the sense that the service will not be interrupted while being in these phases. The same is assumed for the production process also.The model is analysed as a level-independent quasi-birth–death process. We apply a novel method to obtain an explicit expression for the necessary and sufficient condition for the stability of the system under study. This method works even if we assume general phase-type distributions for the production as well as the service processes, and hence can be used to characterise the stability of inventory systems where the assumption of disallowing the customers to join the system, when there is a shortage of inventory has been made. Under stability, we apply matrix analytic methods to compute the system state distribution. In consequence to that, several system performance measures have been derived, and their dependence on the system parameters has been studied numerically. Journal: International Journal of Systems Science Pages: 1800-1816 Issue: 10 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.837538 File-URL: http://hdl.handle.net/10.1080/00207721.2013.837538 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:10:p:1800-1816 Template-Type: ReDIF-Article 1.0 Author-Name: Renquan Lu Author-X-Name-First: Renquan Author-X-Name-Last: Lu Author-Name: Bin Lou Author-X-Name-First: Bin Author-X-Name-Last: Lou Author-Name: An-Ke Xue Author-X-Name-First: An-Ke Author-X-Name-Last: Xue Title: Mode-dependent quantised filtering for Markovian jump singular system Abstract: This paper considers the H∞ filtering problem for Markovian jump singular systems. In addition, when taking into account the effect of the quantisation, the designed filter not only guarantee admissibility but also satisfy a prescribed H∞ filtering performance for the filter error system. By using Lyapunov method, a new bounded real lemma is proposed in terms of linear matrix inequalities (LMIs) to ensure that the filtering error system has the mentioned properties. Furthermore, a sufficient condition for the existence of filter is obtained in terms of LMIs. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 1817-1824 Issue: 10 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.837539 File-URL: http://hdl.handle.net/10.1080/00207721.2013.837539 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:10:p:1817-1824 Template-Type: ReDIF-Article 1.0 Author-Name: Manal Dakil Author-X-Name-First: Manal Author-X-Name-Last: Dakil Author-Name: Christophe Simon Author-X-Name-First: Christophe Author-X-Name-Last: Simon Author-Name: Taha Boukhobza Author-X-Name-First: Taha Author-X-Name-Last: Boukhobza Title: Generic methodology for the probabilistic reliability assessment of some structural properties: a graph theoretical approach Abstract: The graphical characterisation of many important structural properties, such as controllability, observability, diagnosability of many kinds of structured systems, uses mainly four types of elementary graphical conditions: connectivity, complete matching, linking and distance conditions. Since structural properties depend on different associations of elementary conditions, it is interesting to study elementary conditions. This paper is the first part of this global approach based on elementary graphical conditions and we choose to study the so-called connectivity and complete matching conditions. Starting from the graphical representation associated with a system, the paper provides Boolean expressions of the connectivity and complete matching conditions based on the edges validity, which can be linked to the physical components operating state. These expressions can then be used to define and compute the reliability of a structural property knowing the reliability of the system physical components. This knowledge can be important during both conception and exploitation stages. The proposed methods are quite intuitive and simple to implement and have basically polynomial complexity orders. This makes our approach well suited to analyse large-scale systems. Journal: International Journal of Systems Science Pages: 1825-1838 Issue: 10 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.837540 File-URL: http://hdl.handle.net/10.1080/00207721.2013.837540 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:10:p:1825-1838 Template-Type: ReDIF-Article 1.0 Author-Name: Shuai Li Author-X-Name-First: Shuai Author-X-Name-Last: Li Author-Name: Yi Guo Author-X-Name-First: Yi Author-X-Name-Last: Guo Title: Dynamic consensus estimation of weighted average on directed graphs Abstract: Recent applications call for distributed weighted average estimation over sensor networks, where sensor measurement accuracy or environmental conditions need to be taken into consideration in the final consensused group decision. In this paper, we propose new dynamic consensus filter design to distributed estimate weighted average of sensors’ inputs on directed graphs. Based on recent advances in the filed, we modify the existing proportional-integral consensus filter protocol to remove the requirement of bi-directional gain exchange between neighbouring sensors, so that the algorithm works for directed graphs where bi-directional communications are not possible. To compensate for the asymmetric structure of the system introduced by such a removal, sufficient gain conditions are obtained for the filter protocols to guarantee the convergence. It is rigorously proved that the proposed filter protocol converges to the weighted average of constant inputs asymptotically, and to the weighted average of time-varying inputs with a bounded error. Simulations verify the effectiveness of the proposed protocols. Journal: International Journal of Systems Science Pages: 1839-1853 Issue: 10 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.837541 File-URL: http://hdl.handle.net/10.1080/00207721.2013.837541 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:10:p:1839-1853 Template-Type: ReDIF-Article 1.0 Author-Name: Faiz Rasool Author-X-Name-First: Faiz Author-X-Name-Last: Rasool Author-Name: Sing Kiong Ngaung Author-X-Name-First: Sing Kiong Author-X-Name-Last: Ngaung Title: Robust dynamic output feedback control of networked control systems with congestion control Abstract: This paper investigates a robust H∞${\cal H}_\infty$dynamic output feedback controller for networked control systems (NCSs) with a simple congestion control scheme. This scheme enables the NCSs design to enjoy advantages of both time-triggered and event-triggered systems. The proposed scheme compares current measurement with last transmitted measurement. If difference between them is less than a prescribed percentage of the current measurements then no measurement is transmitted to controller and the controller always uses the last transmitted measurements to calculate feedback gains. Moreover, this technique is applied to controller output as well. The stability criteria for closed-loop system is formulated using the Lyapunov-Krasovskii functional approach. The sufficient conditions for the controller are given in terms of solvability of bilinear matrix inequalities (BMIs). These BMIs are converted into quasi-convex linear matrix inequalities that are solved using the cone complementarity linearisation algorithm. A simulation example is used to evaluate how effective the simple congestion control scheme is in reducing network bandwidth. Journal: International Journal of Systems Science Pages: 1854-1864 Issue: 10 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.837542 File-URL: http://hdl.handle.net/10.1080/00207721.2013.837542 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:10:p:1854-1864 Template-Type: ReDIF-Article 1.0 Author-Name: Xinsheng Xu Author-X-Name-First: Xinsheng Author-X-Name-Last: Xu Author-Name: Zhiqing Meng Author-X-Name-First: Zhiqing Author-X-Name-Last: Meng Author-Name: Rui Shen Author-X-Name-First: Rui Author-X-Name-Last: Shen Title: A cooperation model based on CVaR measure for a two-stage supply chain Abstract: In this paper, we introduce a cooperation model (CM) for the two-stage supply chain consisting of a manufacturer and a retailer. In this model, it is supposed that the objective of the manufacturer is to maximise his/her profit while the objective of the retailer is to minimise his/her CVaR while controlling the risk originating from fluctuation in market demand. In reality, the manufacturer and the retailer would like to choose their own decisions as to wholesale price and order quantity to optimise their own objectives, resulting the fact that the expected decision of the manufacturer and that of the retailer may conflict with each other. Then, to achieve cooperation, the manufacturer and the retailer both need to give some concessions. The proposed model aims to coordinate the decisions of the manufacturer and the retailer, and balance the concessions of the two in their cooperation. We introduce an s* − optimal equilibrium solution in this model, which can decide the minimum concession that the manufacturer and the retailer need to give for their cooperation, and prove that the s* − optimal equilibrium solution can be obtained by solving a goal programming problem. Further, the case of different concessions made by the manufacturer and the retailer is also discussed. Numerical results show that the CM is efficient in dealing with the cooperations between the supplier and the retailer. Journal: International Journal of Systems Science Pages: 1865-1873 Issue: 10 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.837543 File-URL: http://hdl.handle.net/10.1080/00207721.2013.837543 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:10:p:1865-1873 Template-Type: ReDIF-Article 1.0 Author-Name: Yunpeng Wang Author-X-Name-First: Yunpeng Author-X-Name-Last: Wang Author-Name: Long Cheng Author-X-Name-First: Long Author-X-Name-Last: Cheng Author-Name: Zeng-Guang Hou Author-X-Name-First: Zeng-Guang Author-X-Name-Last: Hou Author-Name: Min Tan Author-X-Name-First: Min Author-X-Name-Last: Tan Author-Name: Chao Zhou Author-X-Name-First: Chao Author-X-Name-Last: Zhou Author-Name: Ming Wang Author-X-Name-First: Ming Author-X-Name-Last: Wang Title: Consensus seeking in a network of discrete-time linear agents with communication noises Abstract: This paper studies the mean square consensus of discrete-time linear time-invariant multi-agent systems with communication noises. A distributed consensus protocol, which is composed of the agent's own state feedback and the relative states between the agent and its neighbours, is proposed. A time-varying consensus gain a[k] is applied to attenuate the effect of noises which inherits in the inaccurate measurement of relative states with neighbours. A polynomial, namely ‘parameter polynomial’, is constructed. And its coefficients are the parameters in the feedback gain vector of the proposed protocol. It turns out that the parameter polynomial plays an important role in guaranteeing the consensus of linear multi-agent systems. By the proposed protocol, necessary and sufficient conditions for mean square consensus are presented under different topology conditions: (1) if the communication topology graph has a spanning tree and every node in the graph has at least one parent node, then the mean square consensus can be achieved if and only if ∑∞k = 0a[k] = ∞, ∑∞k = 0a2[k] < ∞ and all roots of the parameter polynomial are in the unit circle; (2) if the communication topology graph has a spanning tree and there exits one node without any parent node (the leader–follower case), then the mean square consensus can be achieved if and only if ∑∞k = 0a[k] = ∞, limk → ∞a[k] = 0 and all roots of the parameter polynomial are in the unit circle; (3) if the communication topology graph does not have a spanning tree, then the mean square consensus can never be achieved. Finally, one simulation example on the multiple aircrafts system is provided to validate the theoretical analysis. Journal: International Journal of Systems Science Pages: 1874-1888 Issue: 10 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.837544 File-URL: http://hdl.handle.net/10.1080/00207721.2013.837544 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:10:p:1874-1888 Template-Type: ReDIF-Article 1.0 Author-Name: Edmond J. Vanderperre Author-X-Name-First: Edmond J. Author-X-Name-Last: Vanderperre Author-Name: Stanislav S. Makhanov Author-X-Name-First: Stanislav S. Author-X-Name-Last: Makhanov Title: Overall availability and risk analysis of a general robot–safety device system Abstract: We analyse the availability of a general robot–safety device system characterised by the feature of cold standby and by an admissible risky state. In contrast to the previous literature, we allow a general failure-free time distribution for the robot and, as an example, we present computational results for Coxian failure and repair time distributions. In order to decide whether the risky state is admissible, we introduce a risk criterion based on the notion of rare events. The criterion is always satisfied in the case of fast repair. Journal: International Journal of Systems Science Pages: 1889-1896 Issue: 10 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.837592 File-URL: http://hdl.handle.net/10.1080/00207721.2013.837592 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:10:p:1889-1896 Template-Type: ReDIF-Article 1.0 Author-Name: Jafar Heydari Author-X-Name-First: Jafar Author-X-Name-Last: Heydari Title: Coordinating replenishment decisions in a two-stage supply chain by considering truckload limitation based on delay in payments Abstract: Improper setting of replenishment decisions can lead to lower service level and therefore reduces the whole supply chain (SC) profitability. In a decentralised SC, each member has the full authority of setting its own replenishment decisions, while these decisions affect the other SC members. In this paper, a single-upstream and single-downstream SC is considered, in which the upstream by proposing an incentive scheme based on delay in payments convinces the buyer to globally optimise his/her reorder point and also order quantity. Demand and also lead times are assumed uncertain in the investigated model. In addition, a truckload limitation is considered in downstream side. The proposed model ensures the global optimum of replenishment decisions under some circumstances. The model has the ability of sharing benefits between members to guarantee their participation. Maximum and minimum acceptable delay-in-payments durations are extracted. The results of numerical experiments show that the model has the ability of coordinating SC in most of the realistic parameter sets. Condition under which the proposed model is not able to coordinate the SC is also reported using a sensitivity analysis on the primary parameters. Extensive numerical experiments show capabilities of the proposed model in coordinating SC. Journal: International Journal of Systems Science Pages: 1897-1908 Issue: 10 Volume: 46 Year: 2015 Month: 7 X-DOI: 10.1080/00207721.2013.843216 File-URL: http://hdl.handle.net/10.1080/00207721.2013.843216 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:46:y:2015:i:10:p:1897-1908 Template-Type: ReDIF-Article 1.0 Author-Name: Yinfeng Dou Author-X-Name-First: Yinfeng Author-X-Name-Last: Dou Author-Name: Chenjian Ran Author-X-Name-First: Chenjian Author-X-Name-Last: Ran Title: WMF self-tuning Kalman estimators for multisensor singular system Abstract: For the multisensor linear stochastic singular system with unknown noise variances, the weighted measurement fusion (WMF) self-tuning Kalman estimation problem is solved in this paper. The consistent estimates of these unknown noise variances are obtained based on the correlation method. Applying the WMF method and the singular value decomposition (SVD) method yields the WMF reduced-order subsystems. Based on these consistent estimates of unknown noise variances and the new non-singular systems, the WMF self-tuning Kalman estimators of the state components and white noise deconvolution estimators are presented. Then the WMF self-tuning Kalman estimators of the original state are presented, and their convergence has been proved by dynamic error system analysis (DESA) method and dynamic variance error system analysis (DVESA) method. A simulation example of 3-sensors circuits systems verifies the effectiveness, the accuracy relationship and the convergence. Journal: International Journal of Systems Science Pages: 1873-1888 Issue: 10 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1645234 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1645234 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:10:p:1873-1888 Template-Type: ReDIF-Article 1.0 Author-Name: Jian Liu Author-X-Name-First: Jian Author-X-Name-Last: Liu Author-Name: Yamiao Zhang Author-X-Name-First: Yamiao Author-X-Name-Last: Zhang Author-Name: Xiaoe Ruan Author-X-Name-First: Xiaoe Author-X-Name-Last: Ruan Title: Iterative learning control for a class of uncertain nonlinear systems with current state feedback Abstract: In this paper, the problem of iterative learning control is addressed for a class of uncertain nonlinear systems with unknown input–output coupling parameters. Firstly, we prove that the control system is realisable if and only if all the input–output coupling parameters are nonzero. Secondly, to surmount the obstacle arising from the unknown input–output coupling parameters, a learning based identification technique is developed for the unknown input–output coupling parameters. Thirdly, a control protocol composed of iterative learning control update law and current state feedback is proposed for the controlled system. The findings suggest that the state feedback part does not change the realizability of controlled system and can be used to improve the transient tracking performance. Especially under certain condition, it can guarantee the monotone convergence of ILC process. Finally, simulation examples are provided to illustrate the effectiveness of the proposed control protocol. Journal: International Journal of Systems Science Pages: 1889-1901 Issue: 10 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1645235 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1645235 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:10:p:1889-1901 Template-Type: ReDIF-Article 1.0 Author-Name: Ping Gong Author-X-Name-First: Ping Author-X-Name-Last: Gong Author-Name: Kun Wang Author-X-Name-First: Kun Author-X-Name-Last: Wang Author-Name: Weiyao Lan Author-X-Name-First: Weiyao Author-X-Name-Last: Lan Title: Fully distributed robust consensus control of multi-agent systems with heterogeneous unknown fractional-order dynamics Abstract: This paper investigates the robust consensus control problem of heterogeneous unknown nonlinear fractional-order multi-agent systems (FOMASs) without leader and with multiple leaders of bounded inputs. More specifically, FOMASs with nonidentical unknown coupling nonlinearities and external disturbances are considered in this paper, which takes the first-order MASs as its special case. Based on the σ-modification adaptive control technique, some class of discontinuous robust adaptive control protocols are proposed to solve the leaderless consensus problem and containment consensus problem, respectively. By means of the set-valued maps theory and by artfully choosing Lyapunov function, it is shown that the proposed consensus protocols are user friendly in that they are capable of compensating uncertain coupling nonlinearities, rejecting disturbances, rendering smaller control gains and thus requiring smaller amplitude on the control input while preserving global consensus convergence. All of the proposed robust adaptive consensus protocols are independent of any global and unknown information and thus are fully distributed. Some numerical simulations are provided to validate the correctness of the obtained results. Journal: International Journal of Systems Science Pages: 1902-1919 Issue: 10 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1645913 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1645913 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:10:p:1902-1919 Template-Type: ReDIF-Article 1.0 Author-Name: Lixin Wei Author-X-Name-First: Lixin Author-X-Name-Last: Wei Author-Name: Xin Li Author-X-Name-First: Xin Author-X-Name-Last: Li Author-Name: Rui Fan Author-X-Name-First: Rui Author-X-Name-Last: Fan Title: A new multi-objective particle swarm optimisation algorithm based on R2 indicator selection mechanism Abstract: In recent years, Pareto-based selection mechanism has been successfully applied in dealing with complex multi-objective optimisation problems (MOPs), while indicators-based have been explored to apply in solving this problems. Therefore, a new multi-objective particle swarm optimisation algorithm based on R2 indicator selection mechanism (R2SMMOPSO) is presented in this paper. In the proposed algorithm, R2 indicator is designed as a selection mechanism for ensuring convergence and distribution of the algorithm simultaneously. In addition, an improved cosine-adjusted inertia weight balances the ability of algorithm exploitation and exploration effectively. Besides, Gaussian mutation strategy is designed to prevent particles from falling into the local optimum when the particle does not satisfy the condition of the position update formula, polynomial mutation is applied in the external archive to increase the diversity of elite solutions. The performance of the proposed algorithm is validated and compared with some state-of-the-art algorithms on a number of test problems. Experimental studies demonstrate that the proposed algorithm shows very competitive performance when dealing with complex MOPs. Journal: International Journal of Systems Science Pages: 1920-1932 Issue: 10 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1645914 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1645914 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:10:p:1920-1932 Template-Type: ReDIF-Article 1.0 Author-Name: Guopeng Wang Author-X-Name-First: Guopeng Author-X-Name-Last: Wang Author-Name: Huiling Xu Author-X-Name-First: Huiling Author-X-Name-Last: Xu Author-Name: Wen Qin Author-X-Name-First: Wen Author-X-Name-Last: Qin Author-Name: Xiaokai Zhai Author-X-Name-First: Xiaokai Author-X-Name-Last: Zhai Title: Fault detection for discrete spatially interconnected systems with time-delay over finite frequency domains Abstract: This paper investigates the problem of fault detection observer design for discrete spatially interconnected time-delay systems (SITSs) in finite frequency range. Firstly, a delay-dependent generalised Kalman–Yakubivich–Popov (GKYP) lemma for SITSs is proposed. Then, by the giving GKYP lemma, a distributed fault detection observer design method can be derived by solving a set of linear matrix inequalities (LMIs). Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1933-1946 Issue: 10 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1645915 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1645915 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:10:p:1933-1946 Template-Type: ReDIF-Article 1.0 Author-Name: Rui Gao Author-X-Name-First: Rui Author-X-Name-Last: Gao Author-Name: Qingling Zhang Author-X-Name-First: Qingling Author-X-Name-Last: Zhang Author-Name: Jinghao Li Author-X-Name-First: Jinghao Author-X-Name-Last: Li Author-Name: Ding Zhai Author-X-Name-First: Ding Author-X-Name-Last: Zhai Title: Integral sliding mode control for interconnected descriptor systems based on a reduced-order observer Abstract: In this paper, a reduced-order observer-based integral sliding mode controller is designed for a class of interconnected descriptor systems. First, the observer matching condition is used to transform the interconnected descriptor system into an interconnected normal system. Based on the canonical form, a reduced-order observer is then designed to estimate the state variables of the interconnected descriptor system. In terms of the measurable output variables and the state variables of the proposed reduced-order observer, a sliding mode control scheme is developed to drive the state trajectories of the system to the sliding surface in a finite time and maintain a sliding motion thereafter. It is shown that at the existence of unknown matched disturbances, the proposed observer-based integral sliding mode control scheme can still ensure the asymptotic stability of the resultant closed-loop system. This is an obvious improvement of the existing observer-based sliding mode control methods in descriptor systems fields. Finally, an example is given to verify the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1947-1960 Issue: 10 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1645916 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1645916 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:10:p:1947-1960 Template-Type: ReDIF-Article 1.0 Author-Name: Ranran Li Author-X-Name-First: Ranran Author-X-Name-Last: Li Title: Distributed adaptive containment control for networked uncertain Euler–Lagrange systems Abstract: The paper is concerned with the containment problem of a multi-agent system with each agent being described by an Euler–Lagrange (EL) equation with uncertain parameters. Distributed adaptive control laws are proposed such that the generalised positions of the EL systems converge to the target convex set without measuring or observing neighbours' velocities. Moreover, exponential rate convergence is obtained when the regressor matrix of each EL system is of full column rank. As a byproduct, some of the uncertain parameters existing in the EL systems can be identified under the full column rank condition. Finally, the effectiveness of the proposed method is validated through the simulations on a group of networked uncertain robots. Journal: International Journal of Systems Science Pages: 1961-1975 Issue: 10 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1645917 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1645917 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:10:p:1961-1975 Template-Type: ReDIF-Article 1.0 Author-Name: Jason Sheng-Hong Tsai Author-X-Name-First: Jason Sheng-Hong Author-X-Name-Last: Tsai Author-Name: Chia-Yuan Chang Author-X-Name-First: Chia-Yuan Author-X-Name-Last: Chang Author-Name: Yang-Fang Chen Author-X-Name-First: Yang-Fang Author-X-Name-Last: Chen Author-Name: Shu-Mei Guo Author-X-Name-First: Shu-Mei Author-X-Name-Last: Guo Author-Name: Leang-San Shieh Author-X-Name-First: Leang-San Author-X-Name-Last: Shieh Author-Name: Jose I. Canelon Author-X-Name-First: Jose I. Author-X-Name-Last: Canelon Title: A modified functional observer-based EID estimator for unknown sampled-data singular systems Abstract: This paper presents both an observer/Kalman filter identification (OKID) method-based linear quadratic digital tracker (LQDT) and a new functional observer-based discrete equivalent input disturbance (EID) estimator, for unknown square/non-square singular sampled-data systems with unknown input and output disturbances. Initially, it is shown that even if the solution of the impulsive mode-free singular linear quadratic tracker problem exists, under some quite general conditions the tracker-based generalised algebraic Riccati equation (GARE) might have no solution. To overcome this issue, an innovative methodology that involves an introduced reduced-order equivalent proper regular model (EPRM) of the singular system is presented, to make the tracker-based GARE solvable for a wide class of servo control problems for a singular system. Furthermore, a new functional observer-based design methodology for the discrete EID estimator of the discrete EPRM is proposed in this paper, for a proper sampled-data system with unknown matched/mismatched input and output disturbances. Finally, a discrete-time EPRM of the unknown singular sampled-data system is constructed using the off-line OKID method and the robust prediction-based state-estimate optimal LQDT, associated with the (plug-in) discrete EID estimator, is developed for the singular sampled-data system. Journal: International Journal of Systems Science Pages: 1976-2001 Issue: 10 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1645919 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1645919 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:10:p:1976-2001 Template-Type: ReDIF-Article 1.0 Author-Name: Lingrong Xue Author-X-Name-First: Lingrong Author-X-Name-Last: Xue Author-Name: Zhenguo Liu Author-X-Name-First: Zhenguo Author-X-Name-Last: Liu Author-Name: Zongyao Sun Author-X-Name-First: Zongyao Author-X-Name-Last: Sun Author-Name: Wei Sun Author-X-Name-First: Wei Author-X-Name-Last: Sun Title: New results on robust tracking control for a class of high-order nonlinear time-delay systems Abstract: This paper considers the global tracking control problem for a class of nonlinear systems. Compared with the existing results, one significant distinction of this work is that it allows the high-order powers, zero dynamics, time-delay and external disturbances. By constructing a new Lyapunov–Krasovskii (L–K) functional and using the modified adding a power integrator method, we successfully design a non-smooth tracking controller which guarantees that all the signals of the closed-loop system are bounded. The tracking error can be adjusted small enough using the designed parameters. As a practical application, in the simulation, the single-link robot system is studied to show the validness of the strategy. Journal: International Journal of Systems Science Pages: 2002-2014 Issue: 10 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1646346 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1646346 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:10:p:2002-2014 Template-Type: ReDIF-Article 1.0 Author-Name: Dan Liu Author-X-Name-First: Dan Author-X-Name-Last: Liu Author-Name: Dan Ye Author-X-Name-First: Dan Author-X-Name-Last: Ye Title: Synchronisation control for a class of complex-valued fractional-order memristor-based delayed neural networks Abstract: In this paper, the problem of drive-response synchronisation of complex-valued fractional-order memristor-based delayed neural networks is discussed via linear feedback control method. By separating complex-valued system into two equivalent real-valued systems, and using the comparison theorem, algebraic criteria are given to ascertain the synchronisation of the considered system with single delay. Meanwhile, for the case of model with multiple delays, the corresponding sufficient conditions are also presented. Because complex-valued system can reduce to real-valued ones when the imaginary part is ignored, the proposed results of this paper generalise existing works on relevant real-valued system. Finally, the effectiveness of the obtained theoretical results is testified by two numerical examples. Journal: International Journal of Systems Science Pages: 2015-2029 Issue: 10 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1646347 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1646347 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:10:p:2015-2029 Template-Type: ReDIF-Article 1.0 Author-Name: Mohamed Amin Regaieg Author-X-Name-First: Mohamed Amin Author-X-Name-Last: Regaieg Author-Name: Jérôme Bosche Author-X-Name-First: Jérôme Author-X-Name-Last: Bosche Author-Name: Mourad Kchaou Author-X-Name-First: Mourad Author-X-Name-Last: Kchaou Author-Name: Ahmed El Hajjaji Author-X-Name-First: Ahmed El Author-X-Name-Last: Hajjaji Author-Name: Mohamed Chaabane Author-X-Name-First: Mohamed Author-X-Name-Last: Chaabane Title: 𝒟U-Admissibility with static output feedback for uncertain descriptor T–S systems Abstract: This paper deals with the problem of $\mathcal {D}_U $DU-admissibility analysis and synthesis for a class of uncertain continuous fuzzy descriptor systems. By adopting the linear matrix inequality approach and introducing some free matrices, sufficient conditions are established to ensure the $\mathcal {D}_U $DU-admissibility of the considered class of nonlinear uncertain descriptor systems. From this formulated criterion, a static output feedback multi-controller is designed to ensure the admissibility of the closed loop fuzzy descriptor systems and to improve the transient performances in a union of sub-regions. The merit and effectiveness of the proposed conditions are illustrated by two numerical examples. Journal: International Journal of Systems Science Pages: 2030-2041 Issue: 10 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1646348 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1646348 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:10:p:2030-2041 Template-Type: ReDIF-Article 1.0 Author-Name: Yueyuan Zhang Author-X-Name-First: Yueyuan Author-X-Name-Last: Zhang Author-Name: Cheng-Chew Lim Author-X-Name-First: Cheng-Chew Author-X-Name-Last: Lim Author-Name: Fei Liu Author-X-Name-First: Fei Author-X-Name-Last: Liu Title: Robust control synthesis for discrete-time uncertain semi-Markov jump systems Abstract: This paper studies the control synthesis for uncertain semi-Markov jump systems in a discrete-time domain subjected to external disturbance. The switching between modes is determined by a function of the transition probability and the sojourn-time distribution between two neighbouring modes. Based on the σ-error mean square stability criterion, time-varying controllers are designed to stabilise the system. By constructing a holding time dependent Lyapunov function, time-varying state-feedback controllers are obtained that meet a set of sufficient conditions in the form of linear matrix inequalities. Two examples, including a DC motor system, are presented to show the validity of the proposed control scheme. Journal: International Journal of Systems Science Pages: 2042-2052 Issue: 10 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1646349 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1646349 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:10:p:2042-2052 Template-Type: ReDIF-Article 1.0 Author-Name: Xiushan Cai Author-X-Name-First: Xiushan Author-X-Name-Last: Cai Author-Name: Dingchao Wang Author-X-Name-First: Dingchao Author-X-Name-Last: Wang Author-Name: Yang Liu Author-X-Name-First: Yang Author-X-Name-Last: Liu Author-Name: Xisheng Zhan Author-X-Name-First: Xisheng Author-X-Name-Last: Zhan Author-Name: Huaicheng Yan Author-X-Name-First: Huaicheng Author-X-Name-Last: Yan Title: Stabilisation for cascade of nonlinear ODEs and counter-convecting transport dynamics Abstract: We consider stabilisation for a nonlinear ordinary differential equation (ODE) and counter-convecting transport partial differential equations (PDEs) cascaded system in which the transport coefficients depend on the ODE state. Stability analysis of the closed-loop system is based on the infinite-dimensional backstepping transformations and a Lyapunov functional. A predictor control is proposed such that the closed-loop system is globally asymptotically stable. The proposed design method is illustrated by a single-link manipulator. Journal: International Journal of Systems Science Pages: 2053-2062 Issue: 10 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1646350 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1646350 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:10:p:2053-2062 Template-Type: ReDIF-Article 1.0 Author-Name: Liguang Wan Author-X-Name-First: Liguang Author-X-Name-Last: Wan Author-Name: Xisheng Zhan Author-X-Name-First: Xisheng Author-X-Name-Last: Zhan Author-Name: Hongliang Gao Author-X-Name-First: Hongliang Author-X-Name-Last: Gao Author-Name: Qingsheng Yang Author-X-Name-First: Qingsheng Author-X-Name-Last: Yang Author-Name: Tao Han Author-X-Name-First: Tao Author-X-Name-Last: Han Author-Name: Mengjun Ye Author-X-Name-First: Mengjun Author-X-Name-Last: Ye Title: Multiple asymptotical stability analysis for fractional-order neural networks with time delays Abstract: This paper formulates the multiple asymptotical stability for a general class of fractional-order neural networks with time delays. By exploiting the properties of upper bounded and lower bounded functions derived from the addressed fractional-order neural network model as well as the comparison principle for fractional-order calculus, a lot of sufficient conditions are obtained to guarantee the existence and multiple asymptotical stability of the equilibrium points for the fractional-order neural networks with time delays. It reveals that the results gained in this paper are applicable to analyses of both multiple asymptotical stability and global asymptotical stability. Besides, three numerical examples are presented to showcase the validity of the derived results. Journal: International Journal of Systems Science Pages: 2063-2076 Issue: 10 Volume: 50 Year: 2019 Month: 7 X-DOI: 10.1080/00207721.2019.1646836 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1646836 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:10:p:2063-2076 Template-Type: ReDIF-Article 1.0 Author-Name: Jing Luo Author-X-Name-First: Jing Author-X-Name-Last: Luo Author-Name: Chenguang Yang Author-X-Name-First: Chenguang Author-X-Name-Last: Yang Author-Name: Ning Wang Author-X-Name-First: Ning Author-X-Name-Last: Wang Author-Name: Min Wang Author-X-Name-First: Min Author-X-Name-Last: Wang Title: Enhanced teleoperation performance using hybrid control and virtual fixture Abstract: To develop secure, natural and effective teleoperation, the perception of the slave plays a key role for the interaction of a human operator with the environment. By sensing slave information, the human operator can choose the correct operation in a process during the human–robot interaction. This paper develops an integrated scheme based on a hybrid control and virtual fixture approach for the telerobot. The human operator can sense the slave interaction condition and adjust the master device via the surface electromyographic signal. This hybrid control method integrates the proportional-derivative control and the variable stiffness control, and involves the muscle activation at the same time. It is proposed to quantitatively analyse the human operator's control demand to enhance the control performance of the teleoperation system. In addition, due to unskilful operation and muscle physiological tremor of the human operator, a virtual fixture method is developed to ensure accuracy of operation and to reduce the operation pressure on the human operator. Experimental results demonstrated the effectiveness of the proposed method for the teleoperated robot. Journal: International Journal of Systems Science Pages: 451-462 Issue: 3 Volume: 50 Year: 2019 Month: 2 X-DOI: 10.1080/00207721.2018.1562128 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1562128 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:3:p:451-462 Template-Type: ReDIF-Article 1.0 Author-Name: Menghua Chen Author-X-Name-First: Menghua Author-X-Name-Last: Chen Author-Name: Jian Sun Author-X-Name-First: Jian Author-X-Name-Last: Sun Title: Finite time dissipativity-based reliable control for time-varying system with delay and linear fractional uncertainties Abstract: This paper is concerned with the problem of finite time dissipativity-based reliable control for a time-varying system with linear fractional uncertainty (LFU) and time delay. An actuator fault model consisting of both linear and nonlinear faults is considered during the time-varying control process. By implementing an augmented time-varying Lyapunov functional and using the Wirtinger-type integral inequality, delay-dependent finite time dissipative conditions are established in forms of derivative linear matrix inequalities (DLMIs), which can guarantee the closed-loop system is finite time dissipative for all admissible uncertainties. Then, the DLMIs are transformed into a series of recursive linear matrix inequalities (RLMIs) based on the discretization method. And an algorithm is given to solve the RLMIs to obtain the state feedback gain. Simulation results demonstrate the validity of the proposed approach. Journal: International Journal of Systems Science Pages: 463-478 Issue: 3 Volume: 50 Year: 2019 Month: 2 X-DOI: 10.1080/00207721.2018.1562130 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1562130 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:3:p:463-478 Template-Type: ReDIF-Article 1.0 Author-Name: Bin Xiao Author-X-Name-First: Bin Author-X-Name-Last: Xiao Author-Name: Zhen-dong Lu Author-X-Name-First: Zhen-dong Author-X-Name-Last: Lu Author-Name: Shuang-xia Shi Author-X-Name-First: Shuang-xia Author-X-Name-Last: Shi Author-Name: Chao Gao Author-X-Name-First: Chao Author-X-Name-Last: Gao Author-Name: Li-hua Cao Author-X-Name-First: Li-hua Author-X-Name-Last: Cao Title: Volterra-series-based equivalent nonlinear system method for subharmonic vibration systems Abstract: Subharmonics generation in the nonlinear system, directly using the traditional finite Volterra series, cannot generally represent the aimed system. In this paper, a new approach is presented, which is an extension of single finite Volterra series for representation and analysis of the subharmonic vibration system based on equivalent nonlinear system. The equivalent nonlinear system, which is constructed by pre-compensating the subharmonic vibration system with the super-harmonic nonlinear model, yields the input–output relation between the virtual source and the response of the aimed nonlinear system. Orthogonal least square method is employed to identify the truncated order of Volterra series and predominant Volterra kernels of the equivalent nonlinear system. The MGFRFs (modified generalised frequency response functions) of the equivalent nonlinear system is obtained from the data of the virtual source and response, and verified by comparing the response estimated by the MGFRFs with its true value. Therefore, the aimed subharmonic vibration system can be analysed by taking advantage of a truncated Volterra series based on the equivalent nonlinear system. Numerical simulations were carried out, whose results have shown that the proposed method is valid and feasible, and suitable to apply on representation and analysis of subharmonic vibration systems. Journal: International Journal of Systems Science Pages: 479-494 Issue: 3 Volume: 50 Year: 2019 Month: 2 X-DOI: 10.1080/00207721.2018.1563220 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1563220 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:3:p:479-494 Template-Type: ReDIF-Article 1.0 Author-Name: Masoud Pourasghar Author-X-Name-First: Masoud Author-X-Name-Last: Pourasghar Author-Name: Vicenç Puig Author-X-Name-First: Vicenç Author-X-Name-Last: Puig Author-Name: Carlos Ocampo-Martinez Author-X-Name-First: Carlos Author-X-Name-Last: Ocampo-Martinez Title: Interval observer-based fault detectability analysis using mixed set-invariance theory and sensitivity analysis approach Abstract: This paper addresses the characterisation of the minimum detectable fault (MDF) by means of residual sensitivity integrated with the set-invariance theory when using an interval observer-based approach as a fault detection (FD) scheme. Uncertainties (disturbances and noise) are considered as of unknown but bounded nature (i.e. in the set-membership framework). A zonotopic-set representation towards reducing set operations to simple matrix calculations is utilised to bound the state/output estimations provided by the interval observer-based approach. In order to show the connection between sensitivity and set-invariance analyses, mathematical expressions of the MDF are derived when considering different types of faults. Finally, a simulation case study based on a quadruple-tank system is employed to both illustrate and discuss the effectiveness of the proposed approach. The interval observer-based FD scheme is used to test the MDF obtained from the integration of both residual sensitivity analysis and set-invariance theory in the considered case study. Journal: International Journal of Systems Science Pages: 495-516 Issue: 3 Volume: 50 Year: 2019 Month: 2 X-DOI: 10.1080/00207721.2018.1563221 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1563221 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:3:p:495-516 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaolin Yuan Author-X-Name-First: Xiaolin Author-X-Name-Last: Yuan Author-Name: Lipo Mo Author-X-Name-First: Lipo Author-X-Name-Last: Mo Author-Name: Yongguang Yu Author-X-Name-First: Yongguang Author-X-Name-Last: Yu Title: Observer-based quasi-containment of fractional-order multi-agent systems via event-triggered strategy Abstract: This paper is devoted to the quasi-containment control problem of fractional-order multi-agent systems (FOMASs). First, to reduce the frequency of communications, a novel observer-based event-triggered control mechanism which only relies on the information at the trigger-time is proposed. And then, by applying the theory of algebraic graph, matrix and fractional-order calculus, some sufficient consensus conditions based on the linear matrix inequality are established for achieving the consensus of FOMASs. In addition, the strict positive lower bound on the inter-event interval is obtained, which implies that the system is free from the Zeno behaviour. Finally, several simulation examples are presented to demonstrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 517-533 Issue: 3 Volume: 50 Year: 2019 Month: 2 X-DOI: 10.1080/00207721.2018.1563222 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1563222 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:3:p:517-533 Template-Type: ReDIF-Article 1.0 Author-Name: Wenju Du Author-X-Name-First: Wenju Author-X-Name-Last: Du Author-Name: Yinzhen Li Author-X-Name-First: Yinzhen Author-X-Name-Last: Li Author-Name: Jiangang Zhang Author-X-Name-First: Jiangang Author-X-Name-Last: Zhang Author-Name: Jianning Yu Author-X-Name-First: Jianning Author-X-Name-Last: Yu Title: Synchronisation between two different networks with multi-weights and its application in public traffic network Abstract: The paper established a conventional bus traffic network and a subway network by using the method of space R based on the existing public traffic network model. Regarding these two networks as the sub-networks, this paper presented a new two-layer-coupled public traffic network with multi-weights through the transfer relationship between conventional bus lines and subway lines. Every edge of this model’s two sub-networks has one or several different property weights, and the coupling edges between two sub-networks have one weight. Based on the method of network split, the paper splits the complex networks with multi-weights into several different single-weighted two-layer-coupled public traffic networks and then investigates its global synchronisation. Finally, according to the synchronisation theory of coupling networks with multi-weights and taking ‘Lorenz system’ as the network node, some numerical examples are given to show the impact of congestion degree, passenger-flow density, transfer degree and capacity matching degree to the two-layer-coupled public traffic network balance. Journal: International Journal of Systems Science Pages: 534-545 Issue: 3 Volume: 50 Year: 2019 Month: 2 X-DOI: 10.1080/00207721.2018.1563223 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1563223 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:3:p:534-545 Template-Type: ReDIF-Article 1.0 Author-Name: Honghong Wang Author-X-Name-First: Honghong Author-X-Name-Last: Wang Author-Name: Bing Chen Author-X-Name-First: Bing Author-X-Name-Last: Chen Author-Name: Chong Lin Author-X-Name-First: Chong Author-X-Name-Last: Lin Author-Name: Yumei Sun Author-X-Name-First: Yumei Author-X-Name-Last: Sun Title: Observer-based adaptive fuzzy tracking control for a class of MIMO nonlinear systems with unknown dead zones and time-varying delays Abstract: The adaptive tracking control strategy is investigated for a class of multi-input and multi-output pure-feedback nonlinear delayed systems with unknown dead-zone inputs. This problem is challenging due to the existence of unknown dead zones, time-varying delays and unavoidable state variables. By constructing fuzzy approximators and state observers, the difficulties from unknown nonlinearities and unavailable state variables are surmounted, respectively. Lyapunov–Krasovskii functions are introduced to deal with the time-varying delays. The adaptive controllers are designed by a backstepping method and adaptive technique so that the closed-loop systems remain stable and the target signals can be tracked within a small error as well. At last, two examples are provided to show the effectiveness of the proposed scheme. Journal: International Journal of Systems Science Pages: 546-562 Issue: 3 Volume: 50 Year: 2019 Month: 2 X-DOI: 10.1080/00207721.2018.1563224 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1563224 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:3:p:546-562 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaojuan Xue Author-X-Name-First: Xiaojuan Author-X-Name-Last: Xue Author-Name: Huiling Xu Author-X-Name-First: Huiling Author-X-Name-Last: Xu Author-Name: Li Xu Author-X-Name-First: Li Author-X-Name-Last: Xu Title: Distributed output-feedback controllers design for Markovian jump systems interconnected over an undirected graph with time-varying delay Abstract: This paper considers the problems of stochastic stability analysis and distributed output-feedback controllers design for Markovian jump systems interconnected over an undirected graph with state time-varying delay. Specifically, a sufficient condition for the well-posedness, stochastic stability and contractiveness of the resultant closed-loop system is first developed in the form of non-linear matrix inequalities. Then, to avoid the difficulty of solving non-linear matrix inequalities, the sufficient condition is relaxed to an equivalent one in terms of coupling linear matrix inequalities (LMIs), which provides an effective way to confirm the existence of a distributed output-feedback controller inheriting the structure of the given plant. Furthermore, a constructive algorithm is given for the design of such a distributed output-feedback controller to achieve the well-posedness, stochastic stability as well as the contractiveness of the corresponding closed-loop system. Finally, numerical simulations are given to illustrate the validity of the proposed method. Journal: International Journal of Systems Science Pages: 563-584 Issue: 3 Volume: 50 Year: 2019 Month: 2 X-DOI: 10.1080/00207721.2018.1563730 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1563730 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:3:p:563-584 Template-Type: ReDIF-Article 1.0 Author-Name: M. Syed Ali Author-X-Name-First: M. Author-X-Name-Last: Syed Ali Author-Name: M. Usha Author-X-Name-First: M. Author-X-Name-Last: Usha Author-Name: Jinde Cao Author-X-Name-First: Jinde Author-X-Name-Last: Cao Author-Name: Guoping Lu Author-X-Name-First: Guoping Author-X-Name-Last: Lu Title: Synchronisation analysis for stochastic T–S fuzzy complex networks with coupling delay Abstract: In this paper, we investigated synchronisation problem for stochastic Takagi–Sugeno (T-S) fuzzy complex networks model with discrete and distributed time delays. By constructing a new Lyapunov functional and employing Kronecker product, we developed delay-dependent synchronisation criterions. By applying stochastic analysis techniques, we derive starting conditions for synchronisation complex networks of the addressed with mixed time-varying delays and stochastic disturbances are achieved. A numerical examples are provided to demonstrate the effectiveness and usefulness of the proposed results. Journal: International Journal of Systems Science Pages: 585-598 Issue: 3 Volume: 50 Year: 2019 Month: 2 X-DOI: 10.1080/00207721.2018.1563731 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1563731 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:3:p:585-598 Template-Type: ReDIF-Article 1.0 Author-Name: Zhaoxia Duan Author-X-Name-First: Zhaoxia Author-X-Name-Last: Duan Author-Name: Jun Zhou Author-X-Name-First: Jun Author-X-Name-Last: Zhou Author-Name: Jian Shen Author-X-Name-First: Jian Author-X-Name-Last: Shen Title: Filter design for discrete-time two-dimensional T–S fuzzy systems with finite frequency specification Abstract: This paper deals with the filter design problem of two-dimensional (2-D) discrete-time nonlinear systems described by Fornasini–Marchesini local state–space (FM LSS) model under Takagi–Sugeno (T–S) fuzzy rules. The frequency of disturbance input is assumed to be known and to reside in a finite frequency (FF) range. A novel so-called FF $ l_2 $ l2 gain is defined for 2-D discrete-time systems, which extends the standard $ l_2 $ l2 gain. The aim of this paper is to design filters such that the filtering error system is asymptotically stable and has the disturbance attenuation performance in sense of FF $ l_2 $ l2 gain. Sufficient conditions for the existence of a desired fuzzy filter are established in terms of linear matrix inequalities (LMIs). Simulation examples demonstrate the technique and its advantage. Journal: International Journal of Systems Science Pages: 599-613 Issue: 3 Volume: 50 Year: 2019 Month: 2 X-DOI: 10.1080/00207721.2018.1564086 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1564086 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:3:p:599-613 Template-Type: ReDIF-Article 1.0 Author-Name: Liyun Zhao Author-X-Name-First: Liyun Author-X-Name-Last: Zhao Author-Name: Juan Wang Author-X-Name-First: Juan Author-X-Name-Last: Wang Author-Name: Jianfeng Lv Author-X-Name-First: Jianfeng Author-X-Name-Last: Lv Author-Name: Rui Wang Author-X-Name-First: Rui Author-X-Name-Last: Wang Title: Coordination motion of Lagrangian systems with multiple oscillatory leaders under diverse interaction topologies Abstract: This paper investigates coordination behaviour of Lagrangian systems with multiple dynamic leaders. Firstly, under the directed networked topology, a containment control protocol is presented, in which the communication is physically measurable. The result shows that all followers can converge to the convex hull spanned by the oscillatory leaders, if there exists at least one oscillatory leader that has a directed path to each follower. Subsequently, cluster synchronisation problem is discussed by using integral action under two kinds of network structures. One is that all of couplings among followers are positive, and the other is the existence of both positive and negative couplings in different clusters. One big superiority for introduction of integral control is that generalised velocities converge to some oscillatory orbits. Finally, numerical simulations are presented to demonstrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 614-624 Issue: 3 Volume: 50 Year: 2019 Month: 2 X-DOI: 10.1080/00207721.2018.1564399 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1564399 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:3:p:614-624 Template-Type: ReDIF-Article 1.0 Author-Name: Baocang Ding Author-X-Name-First: Baocang Author-X-Name-Last: Ding Author-Name: Jie Dong Author-X-Name-First: Jie Author-X-Name-Last: Dong Author-Name: Jianchen Hu Author-X-Name-First: Jianchen Author-X-Name-Last: Hu Title: Output feedback robust MPC using general polyhedral and ellipsoidal true state bounds for LPV model with bounded disturbance Abstract: This paper considers the dynamic output feedback robust model predictive control (MPC) for a system with both polytopic model parametric uncertainty and bounded disturbance. For this topic, the techniques for handling the unknown true state are crucial, and the strict guarantee of the input/output/state constraints requires replacing the true state by its bounds in the optimisation problems. Previously, in the separate works, we (i) gave the general polyhedral bound; (ii) proposed the general ellipsoidal bound; (iii) applied some special polyhedral bounds to tighten the ellipsoidal bound since the latter is crucial for guaranteeing recursive feasibility. In this paper, (i)–(iii) are unified, and the up-to-date least conservative treatment of the true state bound is given, so the control performance can be greatly improved. The contribution mainly lies in overcoming the difficulties in developing technical details for the unification. A numerical example is given to illustrate the effectiveness of the new method. Journal: International Journal of Systems Science Pages: 625-637 Issue: 3 Volume: 50 Year: 2019 Month: 2 X-DOI: 10.1080/00207721.2019.1567862 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1567862 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:3:p:625-637 Template-Type: ReDIF-Article 1.0 Author-Name: Jun Xia Author-X-Name-First: Jun Author-X-Name-Last: Xia Author-Name: Yujia Zhang Author-X-Name-First: Yujia Author-X-Name-Last: Zhang Author-Name: Chenguang Yang Author-X-Name-First: Chenguang Author-X-Name-Last: Yang Author-Name: Min Wang Author-X-Name-First: Min Author-X-Name-Last: Wang Author-Name: Andy Annamalai Author-X-Name-First: Andy Author-X-Name-Last: Annamalai Title: An improved adaptive online neural control for robot manipulator systems using integral Barrier Lyapunov functions Abstract: Conventional Neural Network (NN) control for robots uses radial basis function (RBF) and for n-link robot with online control, the number of nodes and weighting matrix increases exponentially, which requires a number of calculations to be performed within a very short duration of time. This consumes a large amount of computational memory and may subsequently result in system failure. To avoid this problem, this paper proposes an innovative NN robot control using a dimension compressed RBF (DCRBF) for a class of n-degree of freedom (DOF) robot with full-state constraints. The proposed DCRBF NN control scheme can compress the nodes and weighting matrix greatly and provide an output that meets the prescribed tracking performance. Additionally, adaption laws are designed to compensate for the internal and external uncertainties. Finally, the effectiveness of the proposed method has been verified by simulations. The results indicate that the proposed method, integral Barrier Lyapunov Functions (iBLF), avoids the existing defects of Barrier Lyapunov Functions (BLF) and prevents the constraint violations. Journal: International Journal of Systems Science Pages: 638-651 Issue: 3 Volume: 50 Year: 2019 Month: 2 X-DOI: 10.1080/00207721.2019.1567863 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1567863 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:3:p:638-651 Template-Type: ReDIF-Article 1.0 Author-Name: Shahrzad Behzadimanesh Author-X-Name-First: Shahrzad Author-X-Name-Last: Behzadimanesh Author-Name: Alireza Fatehi Author-X-Name-First: Alireza Author-X-Name-Last: Fatehi Author-Name: Siavash Fakhimi Derakhshan Author-X-Name-First: Siavash Author-X-Name-Last: Fakhimi Derakhshan Title: Optimal fuzzy controller based on non-monotonic Lyapunov function with a case study on laboratory helicopter Abstract: This paper presents a new approach to design an observer-based optimal fuzzy state feedback controller for discrete-time Takagi–Sugeno fuzzy systems via LQR based on the non-monotonic Lyapunov function. Non-monotonic Lyapunov stability theorem proposed less conservative conditions rather than common quadratic method. To compare with optimal fuzzy feedback controller design based on common quadratic Lyapunov function, this paper proceeds reformulation of the observer-based optimal fuzzy state feedback controller based on common quadratic Lyapunov function. Also in both methodologies, the dependence of optimisation problem on initial conditions is omitted. As a practical case study, the controllers are implemented on a laboratory twin-rotor helicopter to compare the controllers' performance. Journal: International Journal of Systems Science Pages: 652-667 Issue: 3 Volume: 50 Year: 2019 Month: 2 X-DOI: 10.1080/00207721.2019.1567864 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1567864 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:3:p:652-667 Template-Type: ReDIF-Article 1.0 Author-Name: Sami El-Ferik Author-X-Name-First: Sami Author-X-Name-Last: El-Ferik Author-Name: Siddig M. Elkhider Author-X-Name-First: Siddig M. Author-X-Name-Last: Elkhider Author-Name: Jawhar Ghommam Author-X-Name-First: Jawhar Author-X-Name-Last: Ghommam Title: Adaptive containment control of multi-leader fleet of underwater vehicle-manipulator autonomous systems carrying a load Abstract: This paper addresses the problem of a fleet containment under the leader-follower strategy with direct topology. The complete fleet navigation, guidance and control have been designed using $\mathcal {L}_1 $L1 adaptive control and the artificial potential field formation-based approach. The framework is developed to control the navigation and formation of a fleet of underwater vehicle-manipulator systems (UVMs). The proposed containment control approach is a distributed cascade control structure composed of a navigation and guidance controller and a tracking controller. For the path tracking control, $\mathcal {L}_1 $L1 adaptive is applied to the general equations of motion of the underwater vehicle equipped with a 3 link manipulator owing to its ability to achieve fast and robust adaptation. Potential field like control has been used for navigation and guidance. The objective is to ensure robust formation maintenance while in motion or in a standby position. Simulation results show the performance of the control approach even when subjected to ocean disturbances. Journal: International Journal of Systems Science Pages: 1501-1516 Issue: 8 Volume: 50 Year: 2019 Month: 6 X-DOI: 10.1080/00207721.2019.1597939 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1597939 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:8:p:1501-1516 Template-Type: ReDIF-Article 1.0 Author-Name: Ramazan Coban Author-X-Name-First: Ramazan Author-X-Name-Last: Coban Title: Adaptive backstepping sliding mode control with tuning functions for nonlinear uncertain systems Abstract: An adaptive backstepping tuning functions sliding mode controller is proposed for a class of strict-feedback nonlinear uncertain systems. In this control design, adaptive backstepping is used to deal with unknown or uncertain parameters and the matching condition restricting the Lyapunov based design. The main drawback of the Lyapunov based adaptive backstepping which is the overparametrisation is eliminated by the tuning functions. The adaptive backstepping tuning functions design is combined with the sliding mode control in order to overcome quickly varying parametric and unstructured uncertainties, and to obtain chattering free control. The proposed controller not only provides robustness property against uncertainty but also copes with the overparametrisation problem. Experimental results of the proposed controller are compared with those of the standard sliding mode controller. The proposed controller exhibits satisfactory transient performance, good estimates of the uncertain parameters, and less chattering. Journal: International Journal of Systems Science Pages: 1517-1529 Issue: 8 Volume: 50 Year: 2019 Month: 6 X-DOI: 10.1080/00207721.2019.1615571 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1615571 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:8:p:1517-1529 Template-Type: ReDIF-Article 1.0 Author-Name: Lili Liu Author-X-Name-First: Lili Author-X-Name-Last: Liu Author-Name: Shihua Zhu Author-X-Name-First: Shihua Author-X-Name-Last: Zhu Author-Name: Baowei Wu Author-X-Name-First: Baowei Author-X-Name-Last: Wu Title: Asynchronous sampled-data consensus of singular multi-agent systems based on event-triggered strategy Abstract: This paper is concerned with sampled-data consensus for multi-agent systems with singular dynamics. It is assumed that the sampling period of each agent is independent of the other's. Based on event-triggered sampled-data transmission strategy, a distributed consensus protocol is presented. The consensus of singular multi-agent system is transformed into the stability of singular systems with multiple time-varying delays. By employing the Lyapunov-Krasovskii functional method, a sufficient condition on the consensus of multi-agent singular system is derived. Based on the obtained condition, an algorithm to design consensus controller gains is presented in terms of linear matrix inequalities. Two numerical examples are given to show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1530-1542 Issue: 8 Volume: 50 Year: 2019 Month: 6 X-DOI: 10.1080/00207721.2019.1616232 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1616232 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:8:p:1530-1542 Template-Type: ReDIF-Article 1.0 Author-Name: Jiali Ma Author-X-Name-First: Jiali Author-X-Name-Last: Ma Author-Name: Guangming Zhuang Author-X-Name-First: Guangming Author-X-Name-Last: Zhuang Author-Name: Guozeng Cui Author-X-Name-First: Guozeng Author-X-Name-Last: Cui Author-Name: Jiaqi Wang Author-X-Name-First: Jiaqi Author-X-Name-Last: Wang Title: Observer-based adaptive control for nonlinear input-delay systems with unknown control directions Abstract: This paper investigates the problem of adaptive control for strict-feedback nonlinear systems with input delay and unknown control directions. The Nussbaum function is utilised to deal with the unknown control directions and a novel compensation system is introduced to handle the time-varying input delay. By using neural network(NN) approximation and backstepping approaches, an adaptive NN controller is designed which can guarantee the semi-global boundedness of all the signals in the closed-loop system. Two simulation examples are also given to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1543-1555 Issue: 8 Volume: 50 Year: 2019 Month: 6 X-DOI: 10.1080/00207721.2019.1616848 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1616848 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:8:p:1543-1555 Template-Type: ReDIF-Article 1.0 Author-Name: Lixia Liu Author-X-Name-First: Lixia Author-X-Name-Last: Liu Author-Name: Jinwei Yu Author-X-Name-First: Jinwei Author-X-Name-Last: Yu Author-Name: Jinchen Ji Author-X-Name-First: Jinchen Author-X-Name-Last: Ji Author-Name: Zhonghua Miao Author-X-Name-First: Zhonghua Author-X-Name-Last: Miao Author-Name: Jin Zhou Author-X-Name-First: Jin Author-X-Name-Last: Zhou Title: Cooperative adaptive consensus tracking for multiple nonholonomic mobile robots Abstract: This paper addresses the cooperative adaptive consensus tracking for a group of multiple nonholonomic mobile robots, where the nonholonomic robot model is assumed to be a canonical vehicle having two actuated wheels and one passive wheel. By integrating a kinematic controller and a torque controller for the nonholonomic robotic system, a cooperative adaptive consensus tracking strategy is developed for the uncertain dynamic models using Lyapunov-like analysis in combination with backstepping approach and sliding mode technique. A key feature of the developed adaptive consensus tracking algorithm is the introduction of a directed network topology into the control constraints based on algebraic graph theory to characterise the communication interaction among robots, which plays an important role in realising the cooperative consensus tracking with respect to a specific common reference trajectory. Furthermore, a novel framework is proposed for developing a unified methodology for the convergence analysis of the closed-loop control systems, which can fully ensure the desired adaptive consensus tracking for multiple nonholonomic mobile robots. Subsequently, illustrative examples and numerical simulations are provided to demonstrate and visualise the theoretical results. Journal: International Journal of Systems Science Pages: 1556-1567 Issue: 8 Volume: 50 Year: 2019 Month: 6 X-DOI: 10.1080/00207721.2019.1617366 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1617366 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:8:p:1556-1567 Template-Type: ReDIF-Article 1.0 Author-Name: Jiaxi Chen Author-X-Name-First: Jiaxi Author-X-Name-Last: Chen Author-Name: Junmin Li Author-X-Name-First: Junmin Author-X-Name-Last: Li Author-Name: Wenjie Zhao Author-X-Name-First: Wenjie Author-X-Name-Last: Zhao Title: T–S fuzzy model-based adaptive repetitive consensus control for multi-agent systems with imprecise communication topology structure Abstract: This paper studies the consensus problem of multi-agent systems (MAS) with imprecise communication topology structure (ICTS). T–S fuzzy model is used to express the ICTS. Through repeated learning techniques, this paper designs a distributed learning protocol that enables all agents reach consensus with periodic uncertainty parameters. The periodic uncertainty parameters are compensated based on a repetitive learning design method. With the information of leader agent is known to a small portion of following agents, an auxiliary control term is presented for each follower agent to handle leader's dynamic. Under the condition that the ICTS is fuzzy union connected, the learning control protocol proposed in this paper makes all the agents reach an agreement. In addition, the proposed consensus learning protocol is further promoted to solve the formation control problem. Sufficient conditions are given for the consensus and formation problems of the MAS by constructing a composite energy function, respectively. Finally, simulation examples are provided to demonstrate the effectiveness of the proposed control protocol. Journal: International Journal of Systems Science Pages: 1568-1579 Issue: 8 Volume: 50 Year: 2019 Month: 6 X-DOI: 10.1080/00207721.2019.1617367 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1617367 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:8:p:1568-1579 Template-Type: ReDIF-Article 1.0 Author-Name: Wenqiang Ji Author-X-Name-First: Wenqiang Author-X-Name-Last: Ji Author-Name: Min Ma Author-X-Name-First: Min Author-X-Name-Last: Ma Author-Name: Jianbin Qiu Author-X-Name-First: Jianbin Author-X-Name-Last: Qiu Title: A new fuzzy sliding mode controller design for delta operator time-delay nonlinear systems Abstract: This paper investigates the sliding mode control (SMC) problem for a class of delta operator uncertain time-delay nonlinear systems through Takagi–Sugeno fuzzy models. Some new sufficient conditions for asymptotic stability analysis of the sliding motion are obtained in terms of linear matrix inequalities with some convexification techniques. Then two new dynamic SMC design methods are synthesised to force the resulting closed-loop system states onto the sliding surface in finite time. Two simulation examples are finally given to illustrate the effectiveness of the proposed approaches. Journal: International Journal of Systems Science Pages: 1580-1594 Issue: 8 Volume: 50 Year: 2019 Month: 6 X-DOI: 10.1080/00207721.2019.1617368 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1617368 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:8:p:1580-1594 Template-Type: ReDIF-Article 1.0 Author-Name: Zhipeng Zhang Author-X-Name-First: Zhipeng Author-X-Name-Last: Zhang Author-Name: Zengqiang Chen Author-X-Name-First: Zengqiang Author-X-Name-Last: Chen Author-Name: Xiaoguang Han Author-X-Name-First: Xiaoguang Author-X-Name-Last: Han Author-Name: Zhongxin Liu Author-X-Name-First: Zhongxin Author-X-Name-Last: Liu Title: On the static output feedback stabilisation of discrete event dynamic systems based upon the approach of semi-tensor product of matrices Abstract: In this paper, the static output feedback stabilisation of discrete event dynamic systems (DEDSs) is investigated via the semi-tensor product (STP) of matrices. Firstly, the dynamics of DEDSs modelled by deterministic Moore-type finite automata are converted into an matrix expression in the STP frame. Secondly, necessary and sufficient conditions for the existence of a static output feedback control pattern, stabilising the controlled discrete event dynamic systems to some equilibrium point, are given, and constructive algorithms to seek the static output feedback control pattern including an effective specific solution algorithm and an analytic solution algorithm are proposed. Thirdly, the equilibrium-based static output feedback stabilisation of DEDSs is extended to the set-based static output feedback stabilisation and necessary and sufficient conditions and constructive algorithms to seek the corresponding control pattern are provided. Finally, some examples are presented to illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 1595-1608 Issue: 8 Volume: 50 Year: 2019 Month: 6 X-DOI: 10.1080/00207721.2019.1618941 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1618941 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:8:p:1595-1608 Template-Type: ReDIF-Article 1.0 Author-Name: R. Samidurai Author-X-Name-First: R. Author-X-Name-Last: Samidurai Author-Name: R. Sriraman Author-X-Name-First: R. Author-X-Name-Last: Sriraman Author-Name: Song Zhu Author-X-Name-First: Song Author-X-Name-Last: Zhu Title: Stability and dissipativity analysis for uncertain Markovian jump systems with random delays via new approach Abstract: This paper studies the problem of stability and dissipativity analysis for uncertain Markovian jump systems (UMJSs) with random time-varying delays. Based on the auxiliary function-based integral inequality (AFBII) and with the help of some mathematical tools, a new double integral inequality (NDII) is developed. Then, to show the efficiency of the proposed inequality, a suitable Lyapunov-Krasovskii functional (LKF) is constructed with augmented delay-dependent terms. By employing integral inequalities, new delay-dependent sufficient conditions are derived in terms of linear matrix inequalities (LMIs). Finally, illustrative examples are given to show the effectiveness and less conservatism of the results. Journal: International Journal of Systems Science Pages: 1609-1625 Issue: 8 Volume: 50 Year: 2019 Month: 6 X-DOI: 10.1080/00207721.2019.1618942 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1618942 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:8:p:1609-1625 Template-Type: ReDIF-Article 1.0 Author-Name: Kelei Miao Author-X-Name-First: Kelei Author-X-Name-Last: Miao Author-Name: Wen-An Zhang Author-X-Name-First: Wen-An Author-X-Name-Last: Zhang Author-Name: Junwei Zhu Author-X-Name-First: Junwei Author-X-Name-Last: Zhu Title: Distributed guaranteed cost control for aperiodic sampled-data networked interconnected systems: a switched system approach Abstract: This paper investigates the distributed guaranteed cost control problem for a class of networked interconnected control systems (NICSs) under aperiodic sampling. The NICSs with missing data and time-varying delay are modelled as an aperiodic sampled-data switched system with uncertainties. Then, sufficient conditions ensuring the exponential stability and guaranteed cost quadratic performance are presented by using the average dwell time approach. The distributed state feedback controller is designed by solving a set of LMIs. Finally, a simulation example is given to verify the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1626-1635 Issue: 8 Volume: 50 Year: 2019 Month: 6 X-DOI: 10.1080/00207721.2019.1619107 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1619107 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:8:p:1626-1635 Template-Type: ReDIF-Article 1.0 Author-Name: M. Syed Ali Author-X-Name-First: M. Author-X-Name-Last: Syed Ali Author-Name: R. Vadivel Author-X-Name-First: R. Author-X-Name-Last: Vadivel Author-Name: O. M. Kwon Author-X-Name-First: O. M. Author-X-Name-Last: Kwon Title: Decentralised event-triggered impulsive synchronisation for semi-Markovian jump delayed neural networks with leakage delay and randomly occurring uncertainties Abstract: This study examines the problem of decentralised event-triggered impulsive synchronisation for the semi-Markovian jump neutral type neural networks with leakage delay and randomly occurring uncertainties. An improved globally asymptotic stability criterion is derived to guarantee impulsive synchronisation of the response systems with the drive systems. In order to reduce the network traffic and the resource of computation, we propose a new decentralised event-triggered scheme for the considered delayed NNs. In order to make full use of the sawtooth structure characteristic of the sampling input delay, a discontinuous Lyapunov functional is proposed. By establishing a suitable Lyapunov–Krasovskii functional (LKF) with triple integral terms and applying Writinger based integral method, auxiliary function based integral inequalities, reciprocal convex approach and improved inequality techniques, a delay dependent stability criterion is derived in terms of linear matrix inequalities (LMIs). Finally, numerical examples are given to illustrate the effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 1636-1660 Issue: 8 Volume: 50 Year: 2019 Month: 6 X-DOI: 10.1080/00207721.2019.1622812 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1622812 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:8:p:1636-1660 Template-Type: ReDIF-Article 1.0 Author-Name: Nannan Ma Author-X-Name-First: Nannan Author-X-Name-Last: Ma Author-Name: Zhibin Liu Author-X-Name-First: Zhibin Author-X-Name-Last: Liu Author-Name: Lin Chen Author-X-Name-First: Lin Author-X-Name-Last: Chen Title: Synchronisation for complex dynamical networks with hybrid coupling time-varying delays via pinning adaptive control Abstract: This paper is concerned with the problem of synchronisation for complex networks with hybrid coupling time delays. The control strategy consisting of adaptive control and pinning adaptive control is considered. Together with an augment Lyapunov–Krasovskii functional and using the effective mathematical techniques, several conditions are derived to guarantee a class of complex dynamical networks with hybrid coupling time-varying delays to be synchronised. Finally, some representative examples are simulated to demonstrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 1661-1676 Issue: 8 Volume: 50 Year: 2019 Month: 6 X-DOI: 10.1080/00207721.2019.1622813 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1622813 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:8:p:1661-1676 Template-Type: ReDIF-Article 1.0 Author-Name: Xuhuan Wang Author-X-Name-First: Xuhuan Author-X-Name-Last: Wang Author-Name: Zhengrong Xiang Author-X-Name-First: Zhengrong Author-X-Name-Last: Xiang Title: Global finite-time stabilisation of high-order nonlinear systems: a dynamic gain-based approach Abstract: This paper deals with finite-time stabilisation problem for a class of high-order nonlinear systems. By generalising a dynamic gain design method and adding a power integrator technique, a new state feedback controller is constructed by choosing an appropriate Lyapunov function. It is proved that the corresponding closed-loop system is globally finite-time stable by the constructed controller, and the proposed method can accelerate the convergent speed and decrease the settling time. Finally, a simulation example is given to verify the effectiveness of the proposed scheme. Journal: International Journal of Systems Science Pages: 1677-1687 Issue: 8 Volume: 50 Year: 2019 Month: 6 X-DOI: 10.1080/00207721.2019.1622814 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1622814 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:50:y:2019:i:8:p:1677-1687 Template-Type: ReDIF-Article 1.0 Author-Name: Kun-Jen Chung Author-X-Name-First: Kun-Jen Author-X-Name-Last: Chung Title: On the validity of the arithmetic–geometric mean method to locate the optimal solution in a supply chain system Abstract: Cardenas-Barron [Cardenas-Barron, L.E. (2010) ‘A Simple Method to Compute Economic order Quantities: Some Observations’, Applied Mathematical Modelling, 34, 1684–1688] indicates that there are several functions in which the arithmetic–geometric mean method (AGM) does not give the minimum. This article presents another situation to reveal that the AGM inequality to locate the optimal solution may be invalid for Teng, Chen, and Goyal [Teng, J.T., Chen, J., and Goyal S.K. (2009), ‘A Comprehensive Note on: An Inventory Model under Two Levels of Trade Credit and Limited Storage Space Derived without Derivatives’, Applied Mathematical Modelling, 33, 4388–4396], Teng and Goyal [Teng, J.T., and Goyal S.K. (2009), ‘Comment on ‘Optimal Inventory Replenishment Policy for the EPQ Model under Trade Credit Derived without Derivatives’, International Journal of Systems Science, 40, 1095–1098] and Hsieh, Chang, Weng, and Dye [Hsieh, T.P., Chang, H.J., Weng, M.W., and Dye, C.Y. (2008), ‘A Simple Approach to an Integrated Single-vendor Single-buyer Inventory System with Shortage’, Production Planning and Control, 19, 601–604]. So, the main purpose of this article is to adopt the calculus approach not only to overcome shortcomings of the arithmetic–geometric mean method of Teng et al. (2009), Teng and Goyal (2009) and Hsieh et al. (2008), but also to develop the complete solution procedures for them. Journal: International Journal of Systems Science Pages: 1454-1463 Issue: 8 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.547628 File-URL: http://hdl.handle.net/10.1080/00207721.2010.547628 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:8:p:1454-1463 Template-Type: ReDIF-Article 1.0 Author-Name: Ming Liu Author-X-Name-First: Ming Author-X-Name-Last: Liu Author-Name: Lindu Zhao Author-X-Name-First: Lindu Author-X-Name-Last: Zhao Title: An integrated and dynamic optimisation model for the multi-level emergency logistics network in anti-bioterrorism system Abstract: Demand for emergency resources is usually uncertain and varies quickly in anti-bioterrorism system. Besides, emergency resources which had been allocated to the epidemic areas in the early rescue cycle will affect the demand later. In this article, an integrated and dynamic optimisation model with time-varying demand based on the epidemic diffusion rule is constructed. The heuristic algorithm coupled with the MATLAB mathematical programming solver is adopted to solve the optimisation model. In what follows, the application of the optimisation model as well as a short sensitivity analysis of the key parameters in the time-varying demand forecast model is presented. The results show that both the model and the solution algorithm are useful in practice, and both objectives of inventory level and emergency rescue cost can be controlled effectively. Thus, it can provide some guidelines for decision makers when coping with emergency rescue problem with uncertain demand, and offers an excellent reference when issues pertain to bioterrorism. Journal: International Journal of Systems Science Pages: 1464-1478 Issue: 8 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.547629 File-URL: http://hdl.handle.net/10.1080/00207721.2010.547629 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:8:p:1464-1478 Template-Type: ReDIF-Article 1.0 Author-Name: Quanjun Wu Author-X-Name-First: Quanjun Author-X-Name-Last: Wu Author-Name: Jin Zhou Author-X-Name-First: Jin Author-X-Name-Last: Zhou Author-Name: Lan Xiang Author-X-Name-First: Lan Author-X-Name-Last: Xiang Title: Impulsive consensus seeking in directed networks of multi-agent systems with communication time delays Abstract: In this article, we consider average consensus problem in directed delayed networked multi-agent systems having impulsive effects with fixed topology and stochastic switching topology. A simple impulsive consensus protocol for such networks is proposed, and some generic criteria for solving the average consensus problem are analytically derived. It is shown that a directed delayed networked multi-agent system can achieve average consensus globally exponentially with suitable impulsive gain and impulsive interval. Subsequently, two typical illustrative examples, along with computer simulation results, are provided to visualise the effectiveness and feasibility of our theoretical results. Journal: International Journal of Systems Science Pages: 1479-1491 Issue: 8 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.547630 File-URL: http://hdl.handle.net/10.1080/00207721.2010.547630 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:8:p:1479-1491 Template-Type: ReDIF-Article 1.0 Author-Name: Ai-Guo Wu Author-X-Name-First: Ai-Guo Author-X-Name-Last: Wu Author-Name: Gang Feng Author-X-Name-First: Gang Author-X-Name-Last: Feng Author-Name: Guang-Ren Duan Author-X-Name-First: Guang-Ren Author-X-Name-Last: Duan Title: Proportional multiple-integral observer design for discrete-time descriptor linear systems Abstract: A type of proportional multiple-integral observers is proposed for discrete-time descriptor linear systems. First, some existence conditions of this type of observers are given. Then, a parametric design approach is proposed for proportional multiple-integral observers. Based on a general parametric solution to the generalised Sylvester-observer matrix equation, parameterisations for all the observer gains are given in terms of four parameter matrices. The proposed approach can offer all the degrees of design freedom and has great potential in applications. A numerical example is given to show the design procedure and the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 1492-1503 Issue: 8 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.547632 File-URL: http://hdl.handle.net/10.1080/00207721.2010.547632 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:8:p:1492-1503 Template-Type: ReDIF-Article 1.0 Author-Name: Xiao-Jian Li Author-X-Name-First: Xiao-Jian Author-X-Name-Last: Li Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Fault detection filter design for stochastic time-delay systems with sensor faults Abstract: This article considers the fault detection (FD) problem for a class of Itô-type stochastic time-delay systems subject to external disturbances and sensor faults. The main objective is to design a fault detection filter (FDF) such that it has prescribed levels of disturbance attenuation and fault sensitivity. Sufficient conditions for guaranteeing these levels are formulated in terms of linear matrix inequalities (LMIs), and the corresponding fault detection filter design is cast into a convex optimisation problem which can be efficiently handled by using standard numerical algorithms. In order to reduce the conservatism of filter design with mixed objectives, multi-Lyapunov functions approach is used via Projection Lemma. In addition, it is shown that our results not only include some previous conditions characterising H∞ performance and H− performance defined for linear time-invariant (LTI) systems as special cases but also improve these conditions. Finally, two examples are employed to illustrate the effectiveness of the proposed design scheme. Journal: International Journal of Systems Science Pages: 1504-1518 Issue: 8 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.547633 File-URL: http://hdl.handle.net/10.1080/00207721.2010.547633 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:8:p:1504-1518 Template-Type: ReDIF-Article 1.0 Author-Name: Hussain Alazki Author-X-Name-First: Hussain Author-X-Name-Last: Alazki Author-Name: Alex Poznyak Author-X-Name-First: Alex Author-X-Name-Last: Poznyak Title: Robust stochastic tracking for discrete-time models: designing of ellipsoid where random trajectories converge with probability one Abstract: We study the behaviour of stochastic discrete-time models controlled by an output linear feedback during a tracking process. The controlled system is assumed to be nonlinear satisfying the global ‘quasi-Lipschitz’ condition and subjected to stochastic input and output disturbances. Two gain matrices (in a feedback and in an observer) define an ‘averaged’ ellipsoid in the tracking-error space where all system's trajectories arrive ‘with probability one’. The selection of the ‘best’ gain matrices is realised numerically by application of the robust attractive ellipsoid method with the linear matrix inequality technique application. The suggested approach is illustrated by designing of a robust tracking controller for a benchmark example in the presence of stochastic noises both in the state dynamics and in the output observations. Journal: International Journal of Systems Science Pages: 1519-1533 Issue: 8 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.547664 File-URL: http://hdl.handle.net/10.1080/00207721.2010.547664 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:8:p:1519-1533 Template-Type: ReDIF-Article 1.0 Author-Name: Hongbin Zhang Author-X-Name-First: Hongbin Author-X-Name-Last: Zhang Author-Name: Hua Zhong Author-X-Name-First: Hua Author-X-Name-Last: Zhong Author-Name: Chuangyin Dang Author-X-Name-First: Chuangyin Author-X-Name-Last: Dang Author-Name: Xingwen Liu Author-X-Name-First: Xingwen Author-X-Name-Last: Liu Title: Decentralised filtering of interconnected discrete-time fuzzy systems with time delays Abstract: This article considers the decentralised H∞ filtering of interconnected discrete-time fuzzy systems with time delays based on piecewise Lyapunov–Krasovskii functionals. The fuzzy system consists of J interconnected time-delay discrete-time Takagi–Sugeno fuzzy subsystems and the decentralised H∞ filter is designed for each subsystem. It is shown that the stability with H∞ performance of overall filtering error system can be established if a piecewise Lyapunov–Kroasovskii functional can be constructed, and moreover, the functional can be obtained by solving a set of linear matrix inequalities that are numerically feasible. A simulation example is given to show the effectiveness of the presented approach. Journal: International Journal of Systems Science Pages: 1534-1544 Issue: 8 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.549246 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549246 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:8:p:1534-1544 Template-Type: ReDIF-Article 1.0 Author-Name: W.H. Ip Author-X-Name-First: W.H. Author-X-Name-Last: Ip Author-Name: K.L. Yung Author-X-Name-First: K.L. Author-X-Name-Last: Yung Author-Name: Dingwei Wang Author-X-Name-First: Dingwei Author-X-Name-Last: Wang Title: A chaotic model for advertising diffusion problem with competition Abstract: In this article, the author extends Dawid and Feichtinger's chaotic advertising diffusion model into the duopoly case. A computer simulation system is used to test this enhanced model. Based on the analysis of simulation results, it is found that the best advertising strategy in duopoly is to increase the advertising investment to reach the best Win–Win situation where the oscillation of market portion will not occur. In order to effectively arrive at the best situation, we define a synthetic index and two thresholds. An estimation method for the parameters of the index and thresholds is proposed in this research. We can reach the Win–Win situation by simply selecting the control parameters to make the synthetic index close to the threshold of min-oscillation state. The numerical example and computational results indicated that the proposed chaotic model is useful to describe and analyse advertising diffusion process in duopoly, it is an efficient tool for the selection and optimisation of advertising strategy. Journal: International Journal of Systems Science Pages: 1545-1554 Issue: 8 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.549575 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549575 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:8:p:1545-1554 Template-Type: ReDIF-Article 1.0 Author-Name: CheSoong Kim Author-X-Name-First: CheSoong Author-X-Name-Last: Kim Author-Name: Sergey Dudin Author-X-Name-First: Sergey Author-X-Name-Last: Dudin Title: A multi-server queueing model with retrial connection arrivals as a model for optimisation of the traffic control Abstract: We consider a multi-server queueing model with a finite buffer and requests arriving in connections. The number of requests in a connection is random and unknown at the connection initiation instant. Requests, which belong to the connection, arrive in accordance with a Poisson process. Admission of connections to the system is regulated by means of so-called tokens. The pool of tokens is finite. If a connection arrives and there are no tokens available, it leaves the system forever or joins the orbit and retries for access later on. The steady-state distribution of the system is analysed. The problem of the throughput maximisation under the constraint that the request loss probability does not exceed a predefined value is numerically solved. The effect of the retrial intensity, correlation and variation in the arrival process and the probability to leave the system if tokens are not available is numerically highlighted. Journal: International Journal of Systems Science Pages: 1555-1567 Issue: 8 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.549577 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549577 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:8:p:1555-1567 Template-Type: ReDIF-Article 1.0 Author-Name: Ya-Kun Su Author-X-Name-First: Ya-Kun Author-X-Name-Last: Su Author-Name: Bing Chen Author-X-Name-First: Bing Author-X-Name-Last: Chen Author-Name: Qi Zhou Author-X-Name-First: Qi Author-X-Name-Last: Zhou Author-Name: Chong Lin Author-X-Name-First: Chong Author-X-Name-Last: Lin Title: Fuzzy robust filter design for nonlinear discrete-time systems with interval time delays Abstract: This article deals with the problem of H∞ filter design for nonlinear discrete-time systems with norm-bounded parameter uncertainties and time-varying delays. A new Lyapunov function and free-weighting matrix method are used for filtering design, consequently, a delay-dependent design method is first proposed in terms of linear matrix inequalities, which produces a less conservative result. Finally, numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method. Journal: International Journal of Systems Science Pages: 1568-1579 Issue: 8 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.549578 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549578 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:8:p:1568-1579 Template-Type: ReDIF-Article 1.0 Author-Name: Mehdi Dehghan Author-X-Name-First: Mehdi Author-X-Name-Last: Dehghan Author-Name: Masoud Hajarian Author-X-Name-First: Masoud Author-X-Name-Last: Hajarian Title: The generalised Sylvester matrix equations over the generalised bisymmetric and skew-symmetric matrices Abstract: A matrix P is called a symmetric orthogonal if P = PT = P−1. A matrix X is said to be a generalised bisymmetric with respect to P if X = XT = PXP. It is obvious that any symmetric matrix is also a generalised bisymmetric matrix with respect to I (identity matrix). By extending the idea of the Jacobi and the Gauss–Seidel iterations, this article proposes two new iterative methods, respectively, for computing the generalised bisymmetric (containing symmetric solution as a special case) and skew-symmetric solutions of the generalised Sylvester matrix equation (including Sylvester and Lyapunov matrix equations as special cases) which is encountered in many systems and control applications. When the generalised Sylvester matrix equation has a unique generalised bisymmetric (skew-symmetric) solution, the first (second) iterative method converges to the generalised bisymmetric (skew-symmetric) solution of this matrix equation for any initial generalised bisymmetric (skew-symmetric) matrix. Finally, some numerical results are given to illustrate the effect of the theoretical results. Journal: International Journal of Systems Science Pages: 1580-1590 Issue: 8 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.549584 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549584 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:8:p:1580-1590 Template-Type: ReDIF-Article 1.0 Author-Name: Nihat Kasap Author-X-Name-First: Nihat Author-X-Name-Last: Kasap Author-Name: Anurag Agarwal Author-X-Name-First: Anurag Author-X-Name-Last: Agarwal Title: Augmented neural networks and problem structure-based heuristics for the bin-packing problem Abstract: In this article, we report on a research project where we applied augmented-neural-networks (AugNNs) approach for solving the classical bin-packing problem (BPP). AugNN is a metaheuristic that combines a priority rule heuristic with the iterative search approach of neural networks to generate good solutions fast. This is the first time this approach has been applied to the BPP. We also propose a decomposition approach for solving harder BPP, in which subproblems are solved using a combination of AugNN approach and heuristics that exploit the problem structure. We discuss the characteristics of problems on which such problem structure-based heuristics could be applied. We empirically show the effectiveness of the AugNN and the decomposition approach on many benchmark problems in the literature. For the 1210 benchmark problems tested, 917 problems were solved to optimality and the average gap between the obtained solution and the upper bound for all the problems was reduced to under 0.66% and computation time averaged below 33 s per problem. We also discuss the computational complexity of our approach. Journal: International Journal of Systems Science Pages: 1412-1430 Issue: 8 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.549587 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549587 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:8:p:1412-1430 Template-Type: ReDIF-Article 1.0 Author-Name: Fajar Suryawan Author-X-Name-First: Fajar Author-X-Name-Last: Suryawan Author-Name: José De Doná Author-X-Name-First: José Author-X-Name-Last: De Doná Author-Name: María Seron Author-X-Name-First: María Author-X-Name-Last: Seron Title: Splines and polynomial tools for flatness-based constrained motion planning Abstract: This article addresses the problem of trajectory planning for flat systems with constraints. Flat systems have the useful property that the input and the state can be completely characterised by the so-called flat output. We propose a spline parametrisation for the flat output, the performance output, the states and the inputs. Using this parametrisation the problem of constrained trajectory planning can be cast into a simple quadratic programming problem. An important result is that the B-spline parametrisation used gives exact results for constrained linear continuous-time system. The result is exact in the sense that the constrained signal can be made arbitrarily close to the boundary without having intersampling issues (as one would have in sampled-data systems). Simulation examples are presented, involving the generation of rest-to-rest trajectories. In addition, an experimental result of the method is also presented, where two methods to generate trajectories for a magnetic-levitation (maglev) system in the presence of constraints are compared and each method's performance is discussed. The first method uses the nonlinear model of the plant, which turns out to belong to the class of flat systems. The second method uses a linearised version of the plant model around an operating point. In every case, a continuous-time description is used. The experimental results on a real maglev system reported here show that, in most scenarios, the nonlinear and linearised models produce almost similar, indistinguishable trajectories. Journal: International Journal of Systems Science Pages: 1396-1411 Issue: 8 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.549592 File-URL: http://hdl.handle.net/10.1080/00207721.2010.549592 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:8:p:1396-1411 Template-Type: ReDIF-Article 1.0 Author-Name: Shun-Hung Tsai Author-X-Name-First: Shun-Hung Author-X-Name-Last: Tsai Author-Name: Wen-Hui Chen Author-X-Name-First: Wen-Hui Author-X-Name-Last: Chen Author-Name: Ming-Ying Hsiao Author-X-Name-First: Ming-Ying Author-X-Name-Last: Hsiao Title: State-feedback stabilisation for fuzzy bilinear uncertain system with disturbance via fuzzy control approach Abstract: This article presents a fuzzy control scheme for a class of Takagi–Sugeno (T–S) fuzzy uncertain bilinear system with disturbance (FUBSD). First, the T–S FUBSD is established and based on the parallel distributed compensation method, the overall robust H∞ fuzzy controller is proposed to globally stabilise the T–S FUBSD. Then, some sufficient conditions are derived to guarantee the robust stabilisability of the overall fuzzy control system via linear matrix inequalities. Finally, a numerical example is utilised to demonstrate the validity and effectiveness of the proposed control scheme. Journal: International Journal of Systems Science Pages: 1386-1395 Issue: 8 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.565379 File-URL: http://hdl.handle.net/10.1080/00207721.2011.565379 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:8:p:1386-1395 Template-Type: ReDIF-Article 1.0 Author-Name: Z. Kowalczuk Author-X-Name-First: Z. Author-X-Name-Last: Kowalczuk Author-Name: M. Domżalski Author-X-Name-First: M. Author-X-Name-Last: Domżalski Title: Optimal asynchronous estimation of 2D Gaussian–Markov processes Abstract: In this article, we consider the problem of trajectory estimation of a continuous-time two-dimensional (2D) Gaussian–Markov processes based on noisy measurements executed in non-uniformly distributed time moments. In such a case, a discrete-time prediction has to be performed in each cycle of estimation (by means of a Kalman filter). This task can, however, be computationally expensive. To solve this problem, we derive explicit formulae for predicting the 2D process based on explicit forms of the matrix exponential. The effects of the resulting estimator are confronted with those of the classical Kalman filter. Simulated experiments illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 1431-1440 Issue: 8 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.604737 File-URL: http://hdl.handle.net/10.1080/00207721.2011.604737 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:8:p:1431-1440 Template-Type: ReDIF-Article 1.0 Author-Name: I. Peñarrocha Author-X-Name-First: I. Author-X-Name-Last: Peñarrocha Author-Name: R. Sanchis Author-X-Name-First: R. Author-X-Name-Last: Sanchis Author-Name: J.A. Romero Author-X-Name-First: J.A. Author-X-Name-Last: Romero Title: State estimator for multisensor systems with irregular sampling and time-varying delays Abstract: This article addresses the state estimation in linear time-varying systems with several sensors with different availability, randomly sampled in time and whose measurements have a time-varying delay. The approach is based on a modification of the Kalman filter with the negative-time measurement update strategy, avoiding running back the full standard Kalman filter, the use of full augmented order models or the use of reorganisation techniques, leading to a lower implementation cost algorithm. The update equations are run every time a new measurement is available, independently of the time when it was taken. The approach is useful for networked control systems, systems with long delays and scarce measurements and for out-of-sequence measurements. Journal: International Journal of Systems Science Pages: 1441-1453 Issue: 8 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.625482 File-URL: http://hdl.handle.net/10.1080/00207721.2011.625482 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:8:p:1441-1453 Template-Type: ReDIF-Article 1.0 Author-Name: A. Kouadri Author-X-Name-First: A. Author-X-Name-Last: Kouadri Author-Name: A. Namoun Author-X-Name-First: A. Author-X-Name-Last: Namoun Author-Name: M. Zelmat Author-X-Name-First: M. Author-X-Name-Last: Zelmat Author-Name: M.A. Aitouche Author-X-Name-First: M.A. Author-X-Name-Last: Aitouche Title: A statistical-based approach for fault detection in a three tank system Abstract: Fault detection in stochastic dynamical systems is usually carried out by the generation of residuals directly reflecting the magnitude of the faults. For this purpose, faults indicator is used to evaluate possible deviations from the normal operating conditions and the measurements of the system. This evaluation is often very difficult to implement in the multi-faults case. This article aims to demonstrate the efficiency of the coefficient of variation (CV) in detecting single and multi-faults in a multivariable laboratory three tank system DTS-200. The performance of the detection algorithm is based on the computation of the confidence intervals (CIs) which provide an estimate of the amount of error in the considered data and characterise the precision of the computed statistical estimates. The data variability may result from random measurement errors caused by the system parameters uncertainties, internal and external noises, and measuring instrument, which are not usually accurate. The CIs make the CV less sensitive to parameter uncertainties and to measure noises. The robustness and accuracy of the CV are shown in a healthy mode and various faulty situations in an entirely uncertain environment. Journal: International Journal of Systems Science Pages: 1783-1792 Issue: 10 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670292 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670292 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:10:p:1783-1792 Template-Type: ReDIF-Article 1.0 Author-Name: Salvatore Distefano Author-X-Name-First: Salvatore Author-X-Name-Last: Distefano Title: Evaluating reliability of WSN with sleep/wake-up interfering nodes Abstract: A wireless sensor network (WSN) (singular and plural of acronyms are spelled the same) is a distributed system composed of autonomous sensor nodes wireless connected and randomly scattered into a geographical area to cooperatively monitor physical or environmental conditions. Adequate techniques and strategies are required to manage a WSN so that it works properly, observing specific quantities and metrics to evaluate the WSN operational conditions. Among them, one of the most important is the reliability. Considering a WSN as a system composed of sensor nodes the system reliability approach can be applied, thus expressing the WSN reliability in terms of its nodes' reliability. More specifically, since often standby power management policies are applied at node level and interferences among nodes may arise, a WSN can be considered as a dynamic system. In this article we therefore consider the WSN reliability evaluation problem from the dynamic system reliability perspective. Static–structural interactions are specified by the WSN topology. Sleep/wake-up standby policies and interferences due to wireless communications can be instead considered as dynamic aspects. Thus, in order to represent and to evaluate the WSN reliability, we use dynamic reliability block diagrams and Petri nets. The proposed technique allows to overcome the limits of Markov models when considering non-linear discharge processes, since they cannot adequately represent the aging processes. In order to demonstrate the effectiveness of the technique, we investigate some specific WSN network topologies, providing guidelines for their representation and evaluation. Journal: International Journal of Systems Science Pages: 1793-1806 Issue: 10 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670293 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670293 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:10:p:1793-1806 Template-Type: ReDIF-Article 1.0 Author-Name: M.T. Todinov Author-X-Name-First: M.T. Author-X-Name-Last: Todinov Title: Fast augmentation algorithms for maximising the output flow in repairable flow networks after edge failures Abstract: The article discuses a number of fundamental results related to determining the maximum output flow in a network after edge failures. On the basis of four theorems, we propose very efficient augmentation algorithms for restoring the maximum possible output flow in a repairable flow network, after an edge failure. In many cases, the running time of the proposed algorithm is independent of the size of the network or varies linearly with the size of the network. The high computational speed of the proposed algorithms makes them suitable for optimising the performance of repairable flow networks in real time and for decongesting overloaded branches in networks. We show that the correct algorithm for maximising the flow in a static flow network, with edges fully saturated with flow, is a special case of the proposed reoptimisation algorithm, after transforming the network into a network with balanced nodes. An efficient two-stage augmentation algorithm has also been proposed for maximising the output flow in a network with empty edges. The algorithm is faster than the classical flow augmentation algorithms. The article also presents a study on the link between performance, topology and size of repairable flow networks by using a specially developed software tool. The topology of repairable flow networks has a significant impact on their performance. Two networks built with identical type and number of components can have very different performance levels because of slight differences in their topology. Journal: International Journal of Systems Science Pages: 1807-1830 Issue: 10 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670294 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670294 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:10:p:1807-1830 Template-Type: ReDIF-Article 1.0 Author-Name: Yi-Fang Lin Author-X-Name-First: Yi-Fang Author-X-Name-Last: Lin Author-Name: Gino Yang Author-X-Name-First: Gino Author-X-Name-Last: Yang Author-Name: Chyn-Yng Yang Author-X-Name-First: Chyn-Yng Author-X-Name-Last: Yang Author-Name: Tu-Bin Chu Author-X-Name-First: Tu-Bin Author-X-Name-Last: Chu Title: An incentive for coordination in a decentralised service chain with a Weibull lifetime distributed facility Abstract: This article deals with a decentralised service chain consisting of a service provider and a facility owner. The revenue allocation and service price are, respectively, determined by the service provider and the facility owner in a non-cooperative manner. To model this decentralised operation, a Stackelberg game between the two parties is formulated. In the mathematical framework, the service system is assumed to be driven by Poisson customer arrivals and exponential service times. The most common log-linear service demand and Weibull facility lifetime are also adopted. Under these analytical conditions, the decentralised decisions in this game are investigated and then a unique optimal equilibrium is derived. Finally, a coordination mechanism is proposed to improve the efficiency of this decentralised system. Journal: International Journal of Systems Science Pages: 1831-1842 Issue: 10 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670295 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670295 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:10:p:1831-1842 Template-Type: ReDIF-Article 1.0 Author-Name: Xiwang Dong Author-X-Name-First: Xiwang Author-X-Name-Last: Dong Author-Name: Jianxiang Xi Author-X-Name-First: Jianxiang Author-X-Name-Last: Xi Author-Name: Zongying Shi Author-X-Name-First: Zongying Author-X-Name-Last: Shi Author-Name: Yisheng Zhong Author-X-Name-First: Yisheng Author-X-Name-Last: Zhong Title: Practical consensus for high-order linear time-invariant swarm systems with interaction uncertainties, time-varying delays and external disturbances Abstract: Practical consensus problems for general high-order linear time-invariant swarm systems with interaction uncertainties and time-varying external disturbances on directed graphs are investigated in this article. A dynamic consensus protocol with non-uniform time-varying delays is adopted to deal with the practical consensus problem. Using state space decomposition, practical consensus problems of a swarm system are converted into stability problems of a disagreement subsystem. Based on the Lyapunov–Krasovskii functional approach and the linear matrix inequality technique, sufficient conditions for swarm systems to achieve practical consensus are proposed where the time-varying external disturbance can be in L2 or L∞. Numerical simulations are presented to demonstrate theoretical results. Journal: International Journal of Systems Science Pages: 1843-1856 Issue: 10 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670296 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670296 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:10:p:1843-1856 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaojuan Luo Author-X-Name-First: Xiaojuan Author-X-Name-Last: Luo Author-Name: Huiqun Yu Author-X-Name-First: Huiqun Author-X-Name-Last: Yu Author-Name: Xiang Wang Author-X-Name-First: Xiang Author-X-Name-Last: Wang Title: Energy-aware self-organisation algorithms with heterogeneous connectivity in wireless sensor networks Abstract: Heterogeneity of node energy is a common phenomenon in wireless sensor networks. In such node energy heterogeneous sensor network, how to balance the energy consumption is the key problem on extending the lifetime of the sensor network system. An energy-efficient self-organisation algorithm with heterogeneous connectivity based on energy-awareness is proposed. Each sensor node in the network adjusts its own transmission radius based on the local energy information during the constructing and operating phase. Thus heterogeneous network topology, in which the nodes can choose different transmission radius, is formed. In contrast to the homogeneous network model, in which the node carries the same radius, simulation and analysis are conducted to explore the topology characteristics and robustness with different node energy distribution. The degree distribution shows the scale-free property in the heterogeneous model. The proposed network model enjoys higher efficiency of transmitting data, less clustering, higher robustness under node random failures and longer network lifetime than those in the homogeneous ones. Journal: International Journal of Systems Science Pages: 1857-1866 Issue: 10 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670297 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670297 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:10:p:1857-1866 Template-Type: ReDIF-Article 1.0 Author-Name: Yuebing Hu Author-X-Name-First: Yuebing Author-X-Name-Last: Hu Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Author-Name: Jinling Liang Author-X-Name-First: Jinling Author-X-Name-Last: Liang Title: Consensus control of multi-agent systems with missing data in actuators and Markovian communication failure Abstract: This article investigates the consensus problem of multi-agent systems (MASs) with imperfect communication both in channels and in actuators. The data transmission among agents may fail due to limited communication capacity, and the actuators may fail to receive information owing to noisy environment. We use a Markov chain approach to characterise the occurrence of the two types missing data in a unified framework. A sufficient consensus condition is first obtained in terms of linear matrix inequalities. Then, based on this condition, a novel controller design method is further developed such that the MAS with imperfect communication reaches mean-square consensus. It is shown that the consensus problem for MASs with switching topology can be regarded as a special case of the problem considered in this article, and the related theoretical results are presented as well. Numerical examples are provided to illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 1867-1878 Issue: 10 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670298 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670298 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:10:p:1867-1878 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaowu Mu Author-X-Name-First: Xiaowu Author-X-Name-Last: Mu Author-Name: Jumei Wei Author-X-Name-First: Jumei Author-X-Name-Last: Wei Author-Name: Rui Ma Author-X-Name-First: Rui Author-X-Name-Last: Ma Title: Stability of linear switched differential algebraic equations with stable and unstable subsystems Abstract: This article studies linear switched differential algebraic equations (DAEs), which contains stable and unstable subsystems. We prove sufficient conditions for stability of switched DAEs based on the existence of suitable Lyapunov functions. The result shows that stability is preserved under switching with an average dwell time and an additional condition involving consistency projectors holds. Furthermore, we also give an example to illustrate the result. Journal: International Journal of Systems Science Pages: 1879-1884 Issue: 10 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670299 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670299 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:10:p:1879-1884 Template-Type: ReDIF-Article 1.0 Author-Name: Boris Andrievsky Author-X-Name-First: Boris Author-X-Name-Last: Andrievsky Author-Name: Konstantin Starkov Author-X-Name-First: Konstantin Author-X-Name-Last: Starkov Author-Name: Alexander Pogromsky Author-X-Name-First: Alexander Author-X-Name-Last: Pogromsky Title: Frequency and time-domain analysis on performance of a production line operated by observer-based distributed control Abstract: This article deals with the problem of controlling a tandem line of manufacturing machines such that an unknown production demand is tracked with a desired accuracy. To study this problem, a manufacturing machine is approximated by an integrator which is subject to input saturation as a result of the finite capacity of the machine. To solve the problem in the case of unknown demand rate, a combination of feedforward–feedback controller with a reduced-order observer is proposed. The decentralised feedback control strategy for a line of machines is proposed and studied both in continuous time-domain and in frequency-domain representation. The presented illustrating example for a line of four machines underlines the efficiency of the proposed frequency-domain-based performance analysis tool. Journal: International Journal of Systems Science Pages: 1885-1896 Issue: 10 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670300 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670300 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:10:p:1885-1896 Template-Type: ReDIF-Article 1.0 Author-Name: Seyed Mousavi Author-X-Name-First: Seyed Author-X-Name-Last: Mousavi Author-Name: Seyed Niaki Author-X-Name-First: Seyed Author-X-Name-Last: Niaki Author-Name: Esmaeil Mehdizadeh Author-X-Name-First: Esmaeil Author-X-Name-Last: Mehdizadeh Author-Name: Mohammad Tavarroth Author-X-Name-First: Mohammad Author-X-Name-Last: Tavarroth Title: The capacitated multi-facility location–allocation problem with probabilistic customer location and demand: two hybrid meta-heuristic algorithms Abstract: A new mathematical model for the capacitated multi-facility location–allocation problem with probabilistic customers' locations and demands is developed in this article. The model is formulated into the frameworks of the expected value model (EVM) and the chance-constrained programming (CCP) based on two different distance measures. In order to solve the model, two hybrid intelligent algorithms are proposed, where the simplex algorithm and stochastic simulation are the bases for both algorithms. However, in the first algorithm, named SSGA, a special type of genetic algorithm is combined and in the second, SSVDO, a vibration-damping optimisation (VDO) algorithm is united. The Taguchi method is employed to tune the parameters of the two proposed algorithms. Finally, some numerical examples are given to illustrate the applications of the proposed methodologies and to compare their performances. Journal: International Journal of Systems Science Pages: 1897-1912 Issue: 10 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670301 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670301 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:10:p:1897-1912 Template-Type: ReDIF-Article 1.0 Author-Name: Liping Yan Author-X-Name-First: Liping Author-X-Name-Last: Yan Author-Name: Bo Xiao Author-X-Name-First: Bo Author-X-Name-Last: Xiao Author-Name: Yuanqing Xia Author-X-Name-First: Yuanqing Author-X-Name-Last: Xia Author-Name: Mengyin Fu Author-X-Name-First: Mengyin Author-X-Name-Last: Fu Title: State estimation for a kind of non-uniform sampling dynamic system Abstract: This article is concerned with the state estimation problem for a kind of non-uniform sampling dynamic system. The system is described at a certain sampling rate in discrete form. A sensor observes the target successively, while the samples are obtained non-uniformly and the sampling points in each sampling periods may be different. To generate the optimal state estimate, state prediction and innovation are carried out step-by-step similar to Kalman filter (KF), but before innovation in each sampling period, measurements should be properly disposed and augmented. It is shown that our main results improve and extend the existing KF for which the samples are obtained multirate non-uniformly. Measurements randomly missing with Bernoulli distribution are also considered in this article. Finally, the feasibility and efficiency of the presented algorithm is illustrated by a numerical simulation example. Journal: International Journal of Systems Science Pages: 1913-1924 Issue: 10 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670302 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670302 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:10:p:1913-1924 Template-Type: ReDIF-Article 1.0 Author-Name: Kuo-Jung Lin Author-X-Name-First: Kuo-Jung Author-X-Name-Last: Lin Title: Stabilisation of singularly perturbed nonlinear systems via neural network-based control and observer design Abstract: This article addresses the neural network (NN)-based control and observer design for a class of singularly perturbed nonlinear (SPN) systems with guaranteed H∞ control performance. We consider the problem of NN-based observer design for SPN systems with guaranteed H∞ control performance. Based on the Lyapunov stability theorem and the tool of linear matrix inequality, we solve the controller and the observer gain matrices and some common positive-definite matrices. Then, two sufficient conditions were derived to stabilise the SPN systems. The allowable perturbation bound ε* can also be determined via some algebra inequalities, such that the proposed NN-based observer and the adaptive control will stabilise the SPN systems for all . A practical system is given to illustrate the validity of the proposed scheme. Journal: International Journal of Systems Science Pages: 1925-1933 Issue: 10 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670304 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670304 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:10:p:1925-1933 Template-Type: ReDIF-Article 1.0 Author-Name: Wu-Hua Chen Author-X-Name-First: Wu-Hua Author-X-Name-Last: Chen Author-Name: Dan-Xia Li Author-X-Name-First: Dan-Xia Author-X-Name-Last: Li Author-Name: Xiaomei Lu Author-X-Name-First: Xiaomei Author-X-Name-Last: Lu Title: Impulsive observers with variable update intervals for Lipschitz nonlinear time-delay systems Abstract: This article is concerned with the design of impulsive observers with variable update intervals for Lipschitz nonlinear systems with delays in state. Discontinuous Lyapunov function/funtional approaches are developed to analyse the stability of error dynamics. Delay-independent sufficient conditions for uniform exponential stability of the error dynamics over variable update intervals are derived in terms of linear matrix inequalities (LMIs). When these LMIs are feasible, the observer gain matrix can be solved numerically with an LMI-based optimisation algorithm. Numerical examples are provided to show the efficiency of the proposed approach. Journal: International Journal of Systems Science Pages: 1934-1947 Issue: 10 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670305 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670305 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:10:p:1934-1947 Template-Type: ReDIF-Article 1.0 Author-Name: A. Benfekir Author-X-Name-First: A. Author-X-Name-Last: Benfekir Author-Name: S. Hamaci Author-X-Name-First: S. Author-X-Name-Last: Hamaci Author-Name: J.-L. Boimond Author-X-Name-First: J.-L. Author-X-Name-Last: Boimond Author-Name: K. Labadi Author-X-Name-First: K. Author-X-Name-Last: Labadi Title: Performance evaluation of nonlinear weighted T-system Abstract: This article deals with the analysis of discrete event systems which can be modelled by timed event graphs with multipliers (TEGMs). These graphs are an extension of weighted T-systems studied in the Petri net literature. These models do not admit a linear representation in (min, +) algebra. This nonlinearity is due to the presence of weights on arcs. To mitigate this problem of nonlinearity and to apply some basic results used to analyse the performances of linear systems in dioid algebra, we propose a linearisation method of mathematical model reflecting the behaviour of a TEGM in order to obtain a (min, +) linear model. Journal: International Journal of Systems Science Pages: 1948-1955 Issue: 10 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670306 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670306 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:10:p:1948-1955 Template-Type: ReDIF-Article 1.0 Author-Name: Flávio Faria Author-X-Name-First: Flávio Author-X-Name-Last: Faria Author-Name: Geraldo Silva Author-X-Name-First: Geraldo Author-X-Name-Last: Silva Author-Name: Vilma Oliveira Author-X-Name-First: Vilma Author-X-Name-Last: Oliveira Title: Reducing the conservatism of LMI-based stabilisation conditions for TS fuzzy systems using fuzzy Lyapunov functions Abstract: In this article, the fuzzy Lyapunov function approach is considered for stabilising continuous-time Takagi-Sugeno fuzzy systems. Previous linear matrix inequality (LMI) stability conditions are relaxed by exploring further the properties of the time derivatives of premise membership functions and by introducing slack LMI variables into the problem formulation. The relaxation conditions given can also be used with a class of fuzzy Lyapunov functions which also depends on the membership function first-order time-derivative. The stability results are thus extended to systems with large number of rules under membership function order relations and used to design parallel-distributed compensation (PDC) fuzzy controllers which are also solved in terms of LMIs. Numerical examples illustrate the efficiency of the new stabilising conditions presented. Journal: International Journal of Systems Science Pages: 1956-1969 Issue: 10 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.670307 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670307 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:10:p:1956-1969 Template-Type: ReDIF-Article 1.0 Author-Name: Yuanyuan Zou Author-X-Name-First: Yuanyuan Author-X-Name-Last: Zou Author-Name: Yugang Niu Author-X-Name-First: Yugang Author-X-Name-Last: Niu Author-Name: Bei Chen Author-X-Name-First: Bei Author-X-Name-Last: Chen Author-Name: Tinggang Jia Author-X-Name-First: Tinggang Author-X-Name-Last: Jia Title: Networked predictive control of constrained linear systems with input quantisation Abstract: This article investigates the problem of stabilising predictive control for constrained systems, wherein communication from the controller to the plant input is through a digital channel subject to quantisation and delay. A novel model with structured norm-bounded uncertainties is proposed to describe control system with input quantisation. Under a multirate scheme, a delay compensation strategy is presented. The networked predictive control synthesis approach is developed by solving a finite receding horizon optimisation problem with free control moves. It is shown that the proposed predictive controller not only efficiently reduces the negative effects of the quantisation and communication delays but also guarantees the closed-loop stability and satisfies constraints. Finally, a simulation example illustrates the effectiveness of the derived method. Journal: International Journal of Systems Science Pages: 1970-1982 Issue: 10 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2012.683828 File-URL: http://hdl.handle.net/10.1080/00207721.2012.683828 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:10:p:1970-1982 Template-Type: ReDIF-Article 1.0 Author-Name: Yanjun Li Author-X-Name-First: Yanjun Author-X-Name-Last: Li Author-Name: Xuejie Wang Author-X-Name-First: Xuejie Author-X-Name-Last: Wang Author-Name: Ji Xiang Author-X-Name-First: Ji Author-X-Name-Last: Xiang Author-Name: Wei Wei Author-X-Name-First: Wei Author-X-Name-Last: Wei Title: Synchronised output regulation of leader-following heterogeneous networked systems via error feedback Abstract: A dynamic error feedback controller is presented for the synchronised output regulation (SOR) of leader-following heterogeneous linear networked systems. The nodes in the networked systems are divided into two kinds: the leader node accessible to the regulated error and the following nodes inaccessible to the regulated error but accessible to the relative output errors with respect to their neighbouring nodes. By using the small-gain theorem, a sufficient criterion for the SOR problem is developed for more general networks. This criterion can be regarded as imposing an additional H∞ constraint on the classical output regulation problem. The synthesis problem is then addressed by means of linear matrix inequality technique. The efficacy of the analytic results is illustrated by simulation examples. Journal: International Journal of Systems Science Pages: 755-764 Issue: 4 Volume: 47 Year: 2016 Month: 3 X-DOI: 10.1080/00207721.2014.902227 File-URL: http://hdl.handle.net/10.1080/00207721.2014.902227 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:4:p:755-764 Template-Type: ReDIF-Article 1.0 Author-Name: Jun Pei Author-X-Name-First: Jun Author-X-Name-Last: Pei Author-Name: Xinbao Liu Author-X-Name-First: Xinbao Author-X-Name-Last: Liu Author-Name: Panos M. Pardalos Author-X-Name-First: Panos M. Author-X-Name-Last: Pardalos Author-Name: Wenjuan Fan Author-X-Name-First: Wenjuan Author-X-Name-Last: Fan Author-Name: Ling Wang Author-X-Name-First: Ling Author-X-Name-Last: Wang Author-Name: Shanlin Yang Author-X-Name-First: Shanlin Author-X-Name-Last: Yang Title: Solving a supply chain scheduling problem with non-identical job sizes and release times by applying a novel effective heuristic algorithm Abstract: Motivated by applications in manufacturing industry, we consider a supply chain scheduling problem, where each job is characterised by non-identical sizes, different release times and unequal processing times. The objective is to minimise the makespan by making batching and sequencing decisions. The problem is formalised as a mixed integer programming model and proved to be strongly NP-hard. Some structural properties are presented for both the general case and a special case. Based on these properties, a lower bound is derived, and a novel two-phase heuristic (TP-H) is developed to solve the problem, which guarantees to obtain a worst case performance ratio of 72$\frac{7}{2}$. Computational experiments with a set of different sizes of random instances are conducted to evaluate the proposed approach TP-H, which is superior to another two heuristics proposed in the literature. Furthermore, the experimental results indicate that TP-H can effectively and efficiently solve large-size problems in a reasonable time. Journal: International Journal of Systems Science Pages: 765-776 Issue: 4 Volume: 47 Year: 2016 Month: 3 X-DOI: 10.1080/00207721.2014.902553 File-URL: http://hdl.handle.net/10.1080/00207721.2014.902553 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:4:p:765-776 Template-Type: ReDIF-Article 1.0 Author-Name: Yan Song Author-X-Name-First: Yan Author-X-Name-Last: Song Author-Name: Xiaosheng Fang Author-X-Name-First: Xiaosheng Author-X-Name-Last: Fang Author-Name: Qingda Diao Author-X-Name-First: Qingda Author-X-Name-Last: Diao Title: Mixed / distributed robust model predictive control for polytopic uncertain systems subject to actuator saturation and missing measurements Abstract: In this paper, we discuss the mixed H2/H∞ distributed robust model predictive control problem for polytopic uncertain systems subject to randomly occurring actuator saturation and packet loss. The global system is decomposed into several subsystems, and all the subsystems are connected by a fixed topology network, which is the definition for the packet loss among the subsystems. To better use the successfully transmitted information via Internet, both the phenomena of actuator saturation and packet loss resulting from the limitation of the communication bandwidth are taken into consideration. A novel distributed controller model is established to account for the actuator saturation and packet loss in a unified representation by using two sets of Bernoulli distributed white sequences with known conditional probabilities. With the nonlinear feedback control law represented by the convex hull of a group of linear feedback laws, the distributed controllers for subsystems are obtained by solving an linear matrix inequality (LMI) optimisation problem. Finally, numerical studies demonstrate the effectiveness of the proposed techniques. Journal: International Journal of Systems Science Pages: 777-790 Issue: 4 Volume: 47 Year: 2016 Month: 3 X-DOI: 10.1080/00207721.2014.905647 File-URL: http://hdl.handle.net/10.1080/00207721.2014.905647 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:4:p:777-790 Template-Type: ReDIF-Article 1.0 Author-Name: Dongya Zhao Author-X-Name-First: Dongya Author-X-Name-Last: Zhao Author-Name: Shaoyuan Li Author-X-Name-First: Shaoyuan Author-X-Name-Last: Li Author-Name: Quanmin Zhu Author-X-Name-First: Quanmin Author-X-Name-Last: Zhu Title: Adaptive synchronised tracking control for multiple robotic manipulators with uncertain kinematics and dynamics Abstract: In this study, a new adaptive synchronised tracking control approach is developed for the operation of multiple robotic manipulators in the presence of uncertain kinematics and dynamics. In terms of the system synchronisation and adaptive control, the proposed approach can stabilise position tracking of each robotic manipulator while coordinating its motion with the other robotic manipulators. On the other hand, the developed approach can cope with kinematic and dynamic uncertainties. The corresponding stability analysis is presented to lay a foundation for theoretical understanding of the underlying issues as well as an assurance for safely operating real systems. Illustrative examples are bench tested to validate the effectiveness of the proposed approach. In addition, to face the challenging issues, this study provides an exemplary showcase with effectively to integrate several cross boundary theoretical results to formulate an interdisciplinary solution. Journal: International Journal of Systems Science Pages: 791-804 Issue: 4 Volume: 47 Year: 2016 Month: 3 X-DOI: 10.1080/00207721.2014.906681 File-URL: http://hdl.handle.net/10.1080/00207721.2014.906681 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:4:p:791-804 Template-Type: ReDIF-Article 1.0 Author-Name: Qingwei Li Author-X-Name-First: Qingwei Author-X-Name-Last: Li Author-Name: Alex Savachkin Author-X-Name-First: Alex Author-X-Name-Last: Savachkin Title: Reliable distribution networks design with nonlinear fortification function Abstract: Distribution networks have been facing an increased exposure to the risk of unpredicted disruptions causing significant economic losses. The current literature features a limited number of studies considering fortification of network facilities. In this paper, we develop a reliable uncapacitated fixed-charge location model with fortification to support the design of distribution networks. The model considers heterogeneous facility failure probabilities, one layer of supplier backup, and facility fortification within a finite budget. Facility reliability improvement is modelled as a nonlinear function of fortification investment. The problem is formulated as a nonlinear mixed integer programming model proven to be NP$\mathcal {NP}$-hard. A Lagrangian relaxation-based heuristic algorithm is developed and its computational efficiency for solving large-scale problems is demonstrated. Journal: International Journal of Systems Science Pages: 805-813 Issue: 4 Volume: 47 Year: 2016 Month: 3 X-DOI: 10.1080/00207721.2014.906682 File-URL: http://hdl.handle.net/10.1080/00207721.2014.906682 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:4:p:805-813 Template-Type: ReDIF-Article 1.0 Author-Name: J.Y. Keller Author-X-Name-First: J.Y. Author-X-Name-Last: Keller Author-Name: K. Chabir Author-X-Name-First: K. Author-X-Name-Last: Chabir Author-Name: D. Sauter Author-X-Name-First: D. Author-X-Name-Last: Sauter Title: Input reconstruction for networked control systems subject to deception attacks and data losses on control signals Abstract: State estimation of stochastic discrete-time linear systems subject to unknown inputs or constant biases has been widely studied but no work has been dedicated to the case where a disturbance switches between unknown input and constant bias. We show that such disturbance can affect a networked control system subject to deception attacks and data losses on the control signals transmitted by the controller to the plant. This paper proposes to estimate the switching disturbance from an augmented state version of the intermittent unknown input Kalman filter recently developed by the authors. Sufficient stochastic stability conditions are established when the arrival binary sequence of data losses follows a Bernoulli random process. Journal: International Journal of Systems Science Pages: 814-820 Issue: 4 Volume: 47 Year: 2016 Month: 3 X-DOI: 10.1080/00207721.2014.906683 File-URL: http://hdl.handle.net/10.1080/00207721.2014.906683 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:4:p:814-820 Template-Type: ReDIF-Article 1.0 Author-Name: Qinghong Zhang Author-X-Name-First: Qinghong Author-X-Name-Last: Zhang Author-Name: Jianwen Luo Author-X-Name-First: Jianwen Author-X-Name-Last: Luo Author-Name: Yongrui Duan Author-X-Name-First: Yongrui Author-X-Name-Last: Duan Title: Buyer–vendor coordination for fixed lifetime product with quantity discount under finite production rate Abstract: Buyer–vendor coordination has been widely addressed; however, the fixed lifetime of the product is seldom considered. In this paper, we study the coordination of an integrated production-inventory system with quantity discount for a fixed lifetime product under finite production rate and deterministic demand. We first derive the buyer’s ordering policy and the vendor’s production batch size in decentralised and centralised systems. We then compare the two systems and show the non-coordination of the ordering policies and the production batch sizes. To improve the supply chain efficiency, we propose quantity discount contract and prove that the contract can coordinate the buyer–vendor supply chain. Finally, we present analytically tractable solutions and give a numerical example to illustrate the benefits of the proposed quantity discount strategy. Journal: International Journal of Systems Science Pages: 821-834 Issue: 4 Volume: 47 Year: 2016 Month: 3 X-DOI: 10.1080/00207721.2014.906684 File-URL: http://hdl.handle.net/10.1080/00207721.2014.906684 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:4:p:821-834 Template-Type: ReDIF-Article 1.0 Author-Name: Jovan Stefanovski Author-X-Name-First: Jovan Author-X-Name-Last: Stefanovski Title: LQ tracking and disturbance rejecting with invariant zeros on the unit circle Abstract: A solution of the problem of optimal linear-quadratic (LQ) tracking and disturbance rejecting with invariant zeros on the unit circle of the plant is given, under a quite general assumption. For that purpose, we transform this problem to a problem of LQ control of an unstabilisable plant by augmentation, and then deal with weakly stabilising controls, defined as the controls such that the unstable modes of the closed-loop system are at most the unstabilisable modes of the augmented pair (A, B).Then we solve the transformed problem by the newly introduced minimal rank weakly stabilising solution of the most general discrete-time algebraic Riccati system (DARS), associated with the system given by matrix quadruple (A, B, C, D), with unstabilisable matrix pair (A, B).We show and illustrate by examples that there is a class of LQ tracking problems in the presence of disturbances, which cannot be solved by the existing methods, but can be solved by the introduced minimal rank weakly stabilising solution of the DARS. Journal: International Journal of Systems Science Pages: 835-851 Issue: 4 Volume: 47 Year: 2016 Month: 3 X-DOI: 10.1080/00207721.2014.906685 File-URL: http://hdl.handle.net/10.1080/00207721.2014.906685 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:4:p:835-851 Template-Type: ReDIF-Article 1.0 Author-Name: Lie-Fern Hsu Author-X-Name-First: Lie-Fern Author-X-Name-Last: Hsu Author-Name: Jia-Tzer Hsu Author-X-Name-First: Jia-Tzer Author-X-Name-Last: Hsu Title: Economic production quantity (EPQ) models under an imperfect production process with shortages backordered Abstract: In this paper, we develop economic production quantity (EPQ) models to determine the optimal production lot size and backorder quantity for a manufacturer under an imperfect production process. The imperfect production process is characterised by the fraction of defective items at the time of production γ. The paper considers different cases of the EPQ model depending on (1) whether γ is known with certainty or is a random variable, and (2) whether imperfect items are drawn from inventory (a) as they are detected, (b) at the end of each production period or (c) at the end of each production cycle. Straightforward convexity results are shown and closed-form solutions are provided for the optimal order and backorder quantities for each of the cases we considered. We provide two numerical examples: one in which the defective probability follows a uniform distribution and the second which we assume follows a beta distribution, to illustrate the effects of yield variability and timing of the withdrawal of defectives on the optimal solutions. We obtain similar results for both numerical examples, which show that both the yield variability and the withdrawal timing are not critical factors. Journal: International Journal of Systems Science Pages: 852-867 Issue: 4 Volume: 47 Year: 2016 Month: 3 X-DOI: 10.1080/00207721.2014.906768 File-URL: http://hdl.handle.net/10.1080/00207721.2014.906768 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:4:p:852-867 Template-Type: ReDIF-Article 1.0 Author-Name: Hohyun Shin Author-X-Name-First: Hohyun Author-X-Name-Last: Shin Author-Name: Youdan Kim Author-X-Name-First: Youdan Author-X-Name-Last: Kim Title: Flight envelope protection of aircraft using adaptive neural network and online linearisation Abstract: Flight envelope protection algorithm is proposed to improve the safety of an aircraft. Flight envelope protection systems find the control inputs to prevent an aircraft from exceeding structure/aerodynamic limits and maximum control surface deflections. The future values of state variables are predicted using the current states and control inputs based on linearised aircraft model. To apply the envelope protection algorithm for the wide envelope of the aircraft, online linearisation is adopted. Finally, the flight envelope protection system is designed using adaptive neural network and least-squares method. Numerical simulations are conducted to verify the performance of the proposed scheme. Journal: International Journal of Systems Science Pages: 868-885 Issue: 4 Volume: 47 Year: 2016 Month: 3 X-DOI: 10.1080/00207721.2014.906769 File-URL: http://hdl.handle.net/10.1080/00207721.2014.906769 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:4:p:868-885 Template-Type: ReDIF-Article 1.0 Author-Name: Mahdi Bashiri Author-X-Name-First: Mahdi Author-X-Name-Last: Bashiri Author-Name: Zeinab Rasoulinejad Author-X-Name-First: Zeinab Author-X-Name-Last: Rasoulinejad Author-Name: Ehsan Fallahzade Author-X-Name-First: Ehsan Author-X-Name-Last: Fallahzade Title: A new approach on auxiliary vehicle assignment in capacitated location routing problem Abstract: The location routing problem (LRP) considers locating depots and vehicle routing decisions simultaneously. In classic LRP the number of customers in each route depends on the capacity of the vehicle. In this paper a capacitated LRP model with auxiliary vehicle assignment is presented in which the length of each route is not restricted by main vehicle capacity. Two kinds of vehicles are considered: main vehicles with higher capacity and fixed cost and auxiliary vehicles with lower capacity and fixed cost. The auxiliary vehicles can be added to the transportation system as an alternative strategy to cover the capacity limitations and they are just used to transfer goods from depots to vehicles and cannot serve the customers by themselves. To show the applicability of the proposed model, some numerical examples derived from the well-known instances are used. Moreover the model has been solved by some meta-heuristics for large sized instances. The results show the efficiency of the proposed model and the solution approach, considering the classic model and the exact solution approach, respectively. Journal: International Journal of Systems Science Pages: 886-902 Issue: 4 Volume: 47 Year: 2016 Month: 3 X-DOI: 10.1080/00207721.2014.906770 File-URL: http://hdl.handle.net/10.1080/00207721.2014.906770 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:4:p:886-902 Template-Type: ReDIF-Article 1.0 Author-Name: Yuxin Su Author-X-Name-First: Yuxin Author-X-Name-Last: Su Title: A simple global asymptotic convergent observer for uncertain mechanical systems Abstract: A simple nonlinear observer is proposed for a class of uncertain nonlinear multiple-input–multiple-output mechanical systems whose dynamics are first-order differentiable. The proposed observer is constructed without any detailed model knowledge of the system and the observer gains are easily chosen. Another interesting features of the proposed observer include that it is more immune to noise and is high robust against parameters variations, and thus it is readily implemented. Lyapunov's direct method is employed to prove global asymptotic convergent observation. Extensive simulations are presented to illustrate the effectiveness and improved performance of the proposed observer. Journal: International Journal of Systems Science Pages: 903-912 Issue: 4 Volume: 47 Year: 2016 Month: 3 X-DOI: 10.1080/00207721.2014.907942 File-URL: http://hdl.handle.net/10.1080/00207721.2014.907942 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:4:p:903-912 Template-Type: ReDIF-Article 1.0 Author-Name: Daniel Dolz Author-X-Name-First: Daniel Author-X-Name-Last: Dolz Author-Name: Ignacio Peñarrocha Author-X-Name-First: Ignacio Author-X-Name-Last: Peñarrocha Author-Name: Roberto Sanchis Author-X-Name-First: Roberto Author-X-Name-Last: Sanchis Title: Jump state estimation with multiple sensors with packet dropping and delaying channels Abstract: This work addresses the design of a state observer for systems whose outputs are measured through a communication network. The measurements from each sensor node are assumed to arrive randomly, scarcely and with a time-varying delay. The proposed model of the plant and the network measurement scenarios cover the cases of multiple sensors, out-of-sequence measurements, buffered measurements on a single packet and multirate sensor measurements. A jump observer is proposed that selects a different gain depending on the number of periods elapsed between successfully received measurements and on the available data. A finite set of gains is pre-calculated offline with a tractable optimisation problem, where the complexity of the observer implementation is a design parameter. The computational cost of the observer implementation is much lower than in the Kalman filter, whilst the performance is similar. Several examples illustrate the observer design for different measurement scenarios and observer complexity and show the achievable performance. Journal: International Journal of Systems Science Pages: 982-993 Issue: 4 Volume: 47 Year: 2016 Month: 3 X-DOI: 10.1080/00207721.2014.907944 File-URL: http://hdl.handle.net/10.1080/00207721.2014.907944 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:4:p:982-993 Template-Type: ReDIF-Article 1.0 Author-Name: Yelin Fu Author-X-Name-First: Yelin Author-X-Name-Last: Fu Author-Name: Kin Keung Lai Author-X-Name-First: Kin Keung Author-X-Name-Last: Lai Author-Name: Liang Liang Author-X-Name-First: Liang Author-X-Name-Last: Liang Title: A robust optimisation approach to the problem of supplier selection and allocation in outsourcing Abstract: We formulate the supplier selection and allocation problem in outsourcing under an uncertain environment as a stochastic programming problem. Both the decision-maker's attitude towards risk and the penalty parameters for demand deviation are considered in the objective function. A service level agreement, upper bound for each selected supplier's allocation and the number of selected suppliers are considered as constraints. A novel robust optimisation approach is employed to solve this problem under different economic situations. Illustrative examples are presented with managerial implications highlighted to support decision-making. Journal: International Journal of Systems Science Pages: 913-918 Issue: 4 Volume: 47 Year: 2016 Month: 3 X-DOI: 10.1080/00207721.2014.907970 File-URL: http://hdl.handle.net/10.1080/00207721.2014.907970 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:4:p:913-918 Template-Type: ReDIF-Article 1.0 Author-Name: Ata Allah Taleizadeh Author-X-Name-First: Ata Allah Author-X-Name-Last: Taleizadeh Author-Name: Mahsa Noori-daryan Author-X-Name-First: Mahsa Author-X-Name-Last: Noori-daryan Title: Pricing, manufacturing and inventory policies for raw material in a three-level supply chain Abstract: We studied a decentralised three-layer supply chain including a supplier, a producer and some retailers. All the retailers order their demands to the producer and the producer order his demands to the supplier. We assumed that the demand is price sensitive and shortage is not permitted. The goal of the paper is to optimise the total cost of the supply chain network by coordinating decision-making policy using Stackelberg–Nash equilibrium. The decision variables of our model are the supplier's price, the producer's price and the number of shipments received by the supplier and producer, respectively. To illustrate the applicability of the proposed model numerical examples are presented. Journal: International Journal of Systems Science Pages: 919-931 Issue: 4 Volume: 47 Year: 2016 Month: 3 X-DOI: 10.1080/00207721.2014.909544 File-URL: http://hdl.handle.net/10.1080/00207721.2014.909544 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:4:p:919-931 Template-Type: ReDIF-Article 1.0 Author-Name: Lin Xiao Author-X-Name-First: Lin Author-X-Name-Last: Xiao Author-Name: Yunong Zhang Author-X-Name-First: Yunong Author-X-Name-Last: Zhang Title: Dynamic design, numerical solution and effective verification of acceleration-level obstacle-avoidance scheme for robot manipulators Abstract: For avoiding obstacles and joint physical constraints of robot manipulators, this paper proposes and investigates a novel obstacle avoidance scheme (termed the acceleration-level obstacle-avoidance scheme). The scheme is based on a new obstacle-avoidance criterion that is designed by using the gradient neural network approach for the first time. In addition, joint physical constraints such as joint-angle limits, joint-velocity limits and joint-acceleration limits are incorporated into such a scheme, which is further reformulated as a quadratic programming (QP). Two important ‘bridge’ theorems are established so that such a QP can be converted equivalently to a linear variational inequality and then equivalently to a piecewise-linear projection equation (PLPE). A numerical algorithm based on a PLPE is thus developed and applied for an online solution of the resultant QP. Four path-tracking tasks based on the PA10 robot in the presence of point and window-shaped obstacles demonstrate and verify the effectiveness and accuracy of the acceleration-level obstacle-avoidance scheme. Besides, the comparisons between the non-obstacle-avoidance and obstacle-avoidance results further validate the superiority of the proposed scheme. Journal: International Journal of Systems Science Pages: 932-945 Issue: 4 Volume: 47 Year: 2016 Month: 3 X-DOI: 10.1080/00207721.2014.909971 File-URL: http://hdl.handle.net/10.1080/00207721.2014.909971 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:4:p:932-945 Template-Type: ReDIF-Article 1.0 Author-Name: Ji-Shi Zhang Author-X-Name-First: Ji-Shi Author-X-Name-Last: Zhang Author-Name: Yan-Wu Wang Author-X-Name-First: Yan-Wu Author-X-Name-Last: Wang Author-Name: Jiang-Wen Xiao Author-X-Name-First: Jiang-Wen Author-X-Name-Last: Xiao Author-Name: Yang Chen Author-X-Name-First: Yang Author-X-Name-Last: Chen Title: Robust reliable guaranteed cost control of positive interval systems with multiple time delays and actuator failure Abstract: This paper addresses the robust reliable guaranteed cost control problem of positive interval systems with multiple time delays and actuator failure for a given quadratic cost function. Through constructing a Lyapunov–Krasovskii functional, a sufficient condition for the existence of robust reliable guaranteed cost controllers is established such that the closed-loop system is positive and asymptotically stable, and the cost function is guaranteed to be no more than a certain upper bound. Based on the linear matrix inequality method, a criterion for the design of robust reliable guaranteed cost controllers is derived which can tolerate all admissible uncertainties as well as actuator failure. Moreover, a convex optimisation problem with linear matrix inequality constraints is formulated to design the optimal robust reliable guaranteed cost controller which minimises the upper bound of the closed-loop system cost. A numerical example is given to show the effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 946-955 Issue: 4 Volume: 47 Year: 2016 Month: 3 X-DOI: 10.1080/00207721.2014.911382 File-URL: http://hdl.handle.net/10.1080/00207721.2014.911382 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:4:p:946-955 Template-Type: ReDIF-Article 1.0 Author-Name: Shiping Yang Author-X-Name-First: Shiping Author-X-Name-Last: Yang Author-Name: Jian-Xin Xu Author-X-Name-First: Jian-Xin Author-X-Name-Last: Xu Title: Leader–follower synchronisation for networked Lagrangian systems with uncertainties: a learning approach Abstract: This article addresses a leader–follower synchronisation problem of networked Lagrangian systems with uncertainties by an iterative learning control approach. The inherent properties of the systems are fully utilised in the controller design, and a directed acyclic graph is sufficient for communication among subsystems. The developed controller contains a proportional-plus-derivative (PD) term and two learning terms. The PD term drives the tracking error to zero, one learning term compensates for the model uncertainties, and the other one is used for disturbance rejection. It is shown that the synchronisation task can be achieved by the proposed controller, and all internal signals are either bounded or norm bounded. The theoretical results are supported by a numerical study. Journal: International Journal of Systems Science Pages: 956-965 Issue: 4 Volume: 47 Year: 2016 Month: 3 X-DOI: 10.1080/00207721.2014.911384 File-URL: http://hdl.handle.net/10.1080/00207721.2014.911384 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:4:p:956-965 Template-Type: ReDIF-Article 1.0 Author-Name: S. Uma Author-X-Name-First: S. Author-X-Name-Last: Uma Author-Name: A. Seshagiri Rao Author-X-Name-First: A. Seshagiri Author-X-Name-Last: Rao Title: Enhanced modified Smith predictor for second-order non-minimum phase unstable processes Abstract: In this paper, a modified Smith predictor design is proposed for enhanced control of non-minimum phase unstable second-order time-delay processes with/without zero. The proposed method involves the design of two controllers, i.e. set-point tracking controller and disturbance rejection controller. Set-point tracking controller is designed as a proportional-integral-derivative (PID) in series with a lag filter using direct synthesis method. The disturbance rejection controller is designed as a PID in series with a lead/lag filter based on direct synthesis method. Set-point weighting is considered for minimising the overshoots. The proposed method is applied by simulation on several second-order unstable processes. Robustness studies have been carried out using the small-gain theorem. The method gives good nominal and robust control performances. Significant improvement in the disturbance rejection is obtained with the proposed method when compared to the recently reported methods in the literature. Journal: International Journal of Systems Science Pages: 966-981 Issue: 4 Volume: 47 Year: 2016 Month: 3 X-DOI: 10.1080/00207721.2014.911385 File-URL: http://hdl.handle.net/10.1080/00207721.2014.911385 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:47:y:2016:i:4:p:966-981 Template-Type: ReDIF-Article 1.0 Author-Name: Yan Xu Author-X-Name-First: Yan Author-X-Name-Last: Xu Author-Name: Zhao Dong Author-X-Name-First: Zhao Author-X-Name-Last: Dong Author-Name: Rui Zhang Author-X-Name-First: Rui Author-X-Name-Last: Zhang Author-Name: Kit Po Wong Author-X-Name-First: Kit Author-X-Name-Last: Po Wong Title: A decision tree-based on-line preventive control strategy for power system transient instability prevention Abstract: Maintaining transient stability is a basic requirement for secure power system operations. Preventive control deals with modifying the system operating point to withstand probable contingencies. In this article, a decision tree (DT)-based on-line preventive control strategy is proposed for transient instability prevention of power systems. Given a stability database, a distance-based feature estimation algorithm is first applied to identify the critical generators, which are then used as features to develop a DT. By interpreting the splitting rules of DT, preventive control is realised by formulating the rules in a standard optimal power flow model and solving it. The proposed method is transparent in control mechanism, on-line computation compatible and convenient to deal with multi-contingency. The effectiveness and efficiency of the method has been verified on New England 10-machine 39-bus test system. Journal: International Journal of Systems Science Pages: 176-186 Issue: 2 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2011.626906 File-URL: http://hdl.handle.net/10.1080/00207721.2011.626906 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:2:p:176-186 Template-Type: ReDIF-Article 1.0 Author-Name: Fan Hong Author-X-Name-First: Fan Author-X-Name-Last: Hong Author-Name: Chee Pang Author-X-Name-First: Chee Author-X-Name-Last: Pang Title: A peak filtering method with improved transient response for narrow-band disturbance rejection in hard disk drives Abstract: Peak filtering methods are commonly used in track-following control of hard disk drives (HDDs) to suppress narrow-band disturbances around a specific frequency. When there are significant plant dynamics within the bandwidth of the filter, the closed-loop system is prone to be unstable due to the lightly damped poles of the filter, as well as lightly damped poles of the plant. On the other hand, settling response of such peak filters during shock disturbances is slow, and increases tremendously with decreasing damping ratios. In this article, we present a novel design of peak filters with improved transient responses using a phase scheduling method in addition to varying gain and damping ratio. By doing so, the stability margin of the closed-loop systems during both transient stage and steady-state stage will be improved. The effectiveness of the proposed methodology is verified with extensive simulations and the proposed method is then applied in an integrative servo analysis platform to carry out a scaling exercise to evaluate and predict servo performance to support 10 Terabits/in2. Journal: International Journal of Systems Science Pages: 109-119 Issue: 2 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.659707 File-URL: http://hdl.handle.net/10.1080/00207721.2012.659707 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:2:p:109-119 Template-Type: ReDIF-Article 1.0 Author-Name: Wenlin Zhang Author-X-Name-First: Wenlin Author-X-Name-Last: Zhang Author-Name: Zheng Wang Author-X-Name-First: Zheng Author-X-Name-Last: Wang Author-Name: Yi Guo Author-X-Name-First: Yi Author-X-Name-Last: Guo Title: Backstepping-based synchronisation of uncertain networked Lagrangian systems Abstract: In this article, we study the synchronisation problem of uncertain networked Lagrangian systems on directed communication topologies. For the nominal model without uncertainties, we propose a backstepping-based synchronisation design for heterogenous Lagrangian systems on directed graphs with a spanning tree. We relax earlier constraints on the feedback gain for the distributed synchronisation control law, which encompasses the existing double integrator consensus problem as a special case. We then extend the proposed design to the case without relative velocity measurement. For the uncertain Lagrangian model, we develop a distributed adaptive redesign so that asymptotic synchronisation convergence is achieved in the presence of linearly parameterised model uncertainties. Simulation results show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 145-158 Issue: 2 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.669869 File-URL: http://hdl.handle.net/10.1080/00207721.2012.669869 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:2:p:145-158 Template-Type: ReDIF-Article 1.0 Author-Name: Lei Liu Author-X-Name-First: Lei Author-X-Name-Last: Liu Author-Name: Kok Kiong Tan Author-X-Name-First: Kok Kiong Author-X-Name-Last: Tan Author-Name: Yu Guo Author-X-Name-First: Yu Author-X-Name-Last: Guo Author-Name: Ming Cong Author-X-Name-First: Ming Author-X-Name-Last: Cong Author-Name: Tong Heng Lee Author-X-Name-First: Tong Heng Author-X-Name-Last: Lee Title: Active vibration isolation based on model reference adaptive control Abstract: High-performance instruments are very sensitive to vibrations and jitters. In this article, a new approach towards multi-degree-of-freedom (DOF) active vibration isolation and its application in spacecraft jitter suppression are presented. Model reference adaptive control (MRAC) with acceleration feedback is used to isolate random disturbances. However, a side effect of this algorithm is that displacements at low frequencies are amplified. Thus, the MRAC is augmented with proportional–integral–differential (PID) displacement feedback to suppress vibration displacements. The MRAC-PID composite control is applied to a 4-leg platform to isolate vibrations and suppress tip/tilt jitters. The scheme is also used to isolate 6-DOF vibrations and steer the payload of a flexible spacecraft. Satisfactory performance of vibration isolation and jitter attenuation has been observed. Journal: International Journal of Systems Science Pages: 97-108 Issue: 2 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.683834 File-URL: http://hdl.handle.net/10.1080/00207721.2012.683834 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:2:p:97-108 Template-Type: ReDIF-Article 1.0 Author-Name: M. Nagashima Author-X-Name-First: M. Author-X-Name-Last: Nagashima Author-Name: B.N. Agrawal Author-X-Name-First: B.N. Author-X-Name-Last: Agrawal Title: Active control of adaptive optics system in a large segmented mirror telescope Abstract: For a large adaptive optics system such as a large segmented mirror telescope (SMT), it is often difficult, although not impossible, to directly apply common multi-input multi-output (MIMO) controller design methods due to the computational burden imposed by the large dimension of the system model. In this article, a practical controller design method is proposed which significantly reduces the system dimension for a system where the dimension required to represent the dynamics of the plant is much smaller than the dimension of the full plant model. The proposed method decouples the dynamic and static parts of the plant model by a modal decomposition technique to separately design a controller for each part. Two controllers are then combined using the so-called sensitivity decoupling method so that the resulting feedback loop becomes the superposition of the two individual feedback loops of the dynamic and static parts. A MIMO controller was designed by the proposed method using the H∞ loop-shaping technique for an SMT model to be compared with other controllers proposed in the literature. Frequency-domain analysis and time-domain simulation results show the superior performance of the proposed controller. Journal: International Journal of Systems Science Pages: 159-175 Issue: 2 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.683835 File-URL: http://hdl.handle.net/10.1080/00207721.2012.683835 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:2:p:159-175 Template-Type: ReDIF-Article 1.0 Author-Name: J. Jalani Author-X-Name-First: J. Author-X-Name-Last: Jalani Author-Name: G. Herrmann Author-X-Name-First: G. Author-X-Name-Last: Herrmann Author-Name: C. Melhuish Author-X-Name-First: C. Author-X-Name-Last: Melhuish Title: Underactuated fingers controlled by robust and adaptive trajectory following methods Abstract: Choosing an appropriate control scheme to alleviate nonlinearities and uncertainties is not a trivial task, especially when models are not easily available and practical evaluation provides the only means for actual performance assessment. Various factors can contribute to these nonlinearities and uncertainties, such as friction and stiction. Thus, this article investigates four different control schemes, namely PID, adaptive, conventional sliding mode control (SMC) and integral sliding mode control (ISMC) which are implemented in the Bristol Elumotion Robot Hand (BERUL) to analyse and overcome the aforementioned problems. The hand has five fingers with 16 joints and all fingers are underactuated. The implementation of the proposed control schemes are challenging since the BERUL fingers have significant friction, stiction and unknown parameters. The fingers are light in weight and fragile. Comparative performance characteristics have shown that the ISMC is the most suitable candidate to provide good experimental trajectory following and positioning control for underactuated BERUL fingers. Journal: International Journal of Systems Science Pages: 120-132 Issue: 2 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.687866 File-URL: http://hdl.handle.net/10.1080/00207721.2012.687866 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:2:p:120-132 Template-Type: ReDIF-Article 1.0 Author-Name: Z.P. Wang Author-X-Name-First: Z.P. Author-X-Name-Last: Wang Author-Name: T. Zhou Author-X-Name-First: T. Author-X-Name-Last: Zhou Author-Name: Y. Mao Author-X-Name-First: Y. Author-X-Name-Last: Mao Author-Name: Q.J. Chen Author-X-Name-First: Q.J. Author-X-Name-Last: Chen Title: Adaptive recurrent neural network control of uncertain constrained nonholonomic mobile manipulators Abstract: In this article, motion/force control problem of a class of constrained mobile manipulators with unknown dynamics is considered. The system is subject to both holonomic and nonholonomic constraints. An adaptive recurrent neural network controller is proposed to deal with the unmodelled system dynamics. The proposed control strategy guarantees that the system motion asymptotically converges to the desired manifold while the constraint force remains bounded. In addition, an adaptive method is proposed to identify the contact surface. Simulation studies are carried out to verify the validation of the proposed approach. Journal: International Journal of Systems Science Pages: 133-144 Issue: 2 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2012.724116 File-URL: http://hdl.handle.net/10.1080/00207721.2012.724116 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:2:p:133-144 Template-Type: ReDIF-Article 1.0 Author-Name: Chee Khiang Pang Author-X-Name-First: Chee Author-X-Name-Last: Khiang Pang Author-Name: Fan Hong Author-X-Name-First: Fan Author-X-Name-Last: Hong Author-Name: Masaki Nagashima Author-X-Name-First: Masaki Author-X-Name-Last: Nagashima Title: Introduction to the special issue on intelligent control of high-performance engineering systems Journal: International Journal of Systems Science Pages: 95-96 Issue: 2 Volume: 45 Year: 2014 X-DOI: 10.1080/00207721.2013.824668 File-URL: http://hdl.handle.net/10.1080/00207721.2013.824668 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:45:y:2014:i:2:p:95-96 Template-Type: ReDIF-Article 1.0 Author-Name: Bo Li Author-X-Name-First: Bo Author-X-Name-Last: Li Title: Novel Rao–Blackwellized jump Markov CBMeMBer filter for multi-target tracking Abstract: The jump Markov cardinality balanced multi-target multi-Bernoulli (JM–CBMeMBer) filter can estimate both state and number of targets from uncertain measurements. To deal with high computational complexity and imprecise estimations of the existing JM–CBMeMBer filters, we put forward a novel Rao–Blackwellized JM–CBMeMBer filter and its sequential Monte Carlo implementation in this paper. Different from the previous works, we first divide target state space into the nonlinear and linear components based on the Rao–Blackwellized theory, where the linear component is estimated by the Kalman filter (KF) and the results are applied to extract the nonlinear component in lower dimension state space. Moreover, the track management scheme is considered to simplify tracking parameters and distinguish target track. After analysis on computational complexity, the optimised Rao–Blackwellized filtering scheme is presented to reduce the number of the KF recursions. As a result, the computational complexity is reduced and the estimation accuracy is improved owing to small estimation covariance during the whole filtering process. Finally, the numerical simulation results are provided to show the reliability and efficiency of the proposed filter. Journal: International Journal of Systems Science Pages: 3007-3022 Issue: 15 Volume: 49 Year: 2018 Month: 11 X-DOI: 10.1080/00207721.2018.1531320 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1531320 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:15:p:3007-3022 Template-Type: ReDIF-Article 1.0 Author-Name: A. M. de Oliveira Author-X-Name-First: A. M. Author-X-Name-Last: de Oliveira Author-Name: O. L. V. Costa Author-X-Name-First: O. L. V. Author-X-Name-Last: Costa Title: Mixed 𝓗/𝓗 filtering for Markov jump linear systems Abstract: We study in this work the mixed $ \mathcal {H}_{2}/\mathcal {H}_{\infty } $ H2/H∞-filtering problem for Markov jump linear systems in a partial observation context. Rather than the Markov chain $ \theta (k) $ θ(k), we consider that only an estimation $ \hat {\theta }(k) $ θˆ(k) coming from a detector is available to the filter. We present a sufficient condition for the synthesis of a filter depending only on $ \hat \theta (k) $ θˆ(k) such that the estimation errors for the $ \mathcal {H}_{2} $ H2 and $ \mathcal {H}_{\infty } $ H∞ filtering problems are bounded by given scalars. The robust mixed $ \mathcal {H}_{2}/\mathcal {H}_{\infty } $ H2/H∞ filtering considering that the transition and detection probabilities are uncertain, as well as the complete observation, cluster and mode-independent cases, are also studied. The results are given in terms of linear matrix inequalities and are illustrated by a numerical example. Journal: International Journal of Systems Science Pages: 3023-3036 Issue: 15 Volume: 49 Year: 2018 Month: 11 X-DOI: 10.1080/00207721.2018.1531321 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1531321 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:15:p:3023-3036 Template-Type: ReDIF-Article 1.0 Author-Name: Toshio Yoshimura Author-X-Name-First: Toshio Author-X-Name-Last: Yoshimura Title: Adaptive fuzzy dynamic surface control for a class of stochastic MIMO discrete-time nonlinear pure-feedback systems with full state constraints Abstract: This paper presents the design of an adaptive fuzzy dynamic surface control for a class of stochastic MIMO discrete-time nonlinear pure-feedback systems with full state constraints using a set of noisy measurements. The design approach is described as follows. The nonlinear uncertainty is approximated by using the fuzzy logic system at the first stage, secondly the proposed adaptive fuzzy dynamic surface control is designed based on a new saturation function for full state constraints, thirdly the number of the adjustable parameters is reduced by using the simplified extended single input rule modules, and finally the simplified weighted least squares estimator is in a simplified structure designed to take the estimates for the un-measurable states and the adjustable parameters. The simulation provides that the proposed approach is effective for the improvement of the system performance. Journal: International Journal of Systems Science Pages: 3037-3047 Issue: 15 Volume: 49 Year: 2018 Month: 11 X-DOI: 10.1080/00207721.2018.1531322 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1531322 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:15:p:3037-3047 Template-Type: ReDIF-Article 1.0 Author-Name: Yuan Fan Author-X-Name-First: Yuan Author-X-Name-Last: Fan Author-Name: Chengxiao Zhang Author-X-Name-First: Chengxiao Author-X-Name-Last: Zhang Author-Name: Cheng Song Author-X-Name-First: Cheng Author-X-Name-Last: Song Title: Sampling-based self-triggered coordination control for multi-agent systems with application to distributed generators Abstract: This work investigates the coordination control problem for multiple distributed generation (DG) units with a hierarchical control structure. At the secondary control level, an event-triggered power sharing strategy based on the concept of multi-agent consensus has been proposed for the DG coordination control. Unlike existing consensus-based DG control approaches, the proposed control algorithm is based on sampled data. Thus the event triggering and controller updating actions can only be executed at the sampling time instants. To further reduce the amount of communication among DGs, the proposed event-triggered algorithm is extended to a self-triggered algorithm, where the inter-agent communication transmission is no longer required to be executed at each sampling time instant. The case study results show that the self-triggered algorithm can achieve nearly the same performance on DG coordination as that of the event-triggered algorithm, while significantly reduces the amount of communication. Journal: International Journal of Systems Science Pages: 3048-3062 Issue: 15 Volume: 49 Year: 2018 Month: 11 X-DOI: 10.1080/00207721.2018.1533047 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1533047 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:15:p:3048-3062 Template-Type: ReDIF-Article 1.0 Author-Name: Bin Zhou Author-X-Name-First: Bin Author-X-Name-Last: Zhou Title: Analysis and design of complex-valued linear systems Abstract: This paper studies a class of complex-valued linear systems whose state evolution dependents on both the state vector and its conjugate. The complex-valued linear system comes from linear dynamical quantum control theory and is also encountered when a normal linear system is controlled by feedback containing both the state vector and its conjugate that can provide more design freedom. By introducing the concept of bimatrix and its properties, the considered system is transformed into an equivalent real-representation system and a non-equivalent complex-lifting system, which are normal linear systems. Some analysis and design problems including solutions, controllability, observability, stability, eigenvalue assignment, stabilisation, linear quadratic regulation, and state observer design are then investigated. Criterion, conditions, and algorithms are provided in terms of the coefficient bimatrices of the original system. The developed approaches are also utilised to investigate the so-called antilinear system which is a special case of the considered complex-valued linear system. The existing results on this system have been improved and some new results are established. Journal: International Journal of Systems Science Pages: 3063-3081 Issue: 15 Volume: 49 Year: 2018 Month: 11 X-DOI: 10.1080/00207721.2018.1533048 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1533048 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:15:p:3063-3081 Template-Type: ReDIF-Article 1.0 Author-Name: Pablo S. Rivadeneira Author-X-Name-First: Pablo S. Author-X-Name-Last: Rivadeneira Author-Name: Alejandro H. González Author-X-Name-First: Alejandro H. Author-X-Name-Last: González Title: Non-zero set-point affine feedback control of impulsive systems with application to biomedical processes Abstract: Linear impulsive systems have been extensively studied in the last decades, mainly in the field of biomedical research. However, a proper characterisation of the equilibria of such a systems - when they are out of the origin - and its use by optimising control strategies is still a matter of discussion. In this work, a novel characterisation of the system equilibria and invariant regions - derived from the definition of two underlying discrete-time systems - is given, and based on this characterisation impulsive affine feedback control strategies for non-zero set-points are designed. The closed-loop performance and benefits of the strategies are assessed through two biomedical examples: the Lithium ions distribution in the human body and the HIV treatment. Journal: International Journal of Systems Science Pages: 3082-3093 Issue: 15 Volume: 49 Year: 2018 Month: 11 X-DOI: 10.1080/00207721.2018.1533049 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1533049 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:15:p:3082-3093 Template-Type: ReDIF-Article 1.0 Author-Name: Yanan Bian Author-X-Name-First: Yanan Author-X-Name-Last: Bian Author-Name: Yuhao Chen Author-X-Name-First: Yuhao Author-X-Name-Last: Chen Author-Name: Lijun Long Author-X-Name-First: Lijun Author-X-Name-Last: Long Title: Full state constraints-based adaptive control for switched nonlinear pure-feedback systems Abstract: This paper investigates the problem of full state constraints-based adaptive control for a class of switched nonlinear pure-feedback systems under arbitrary switchings. First, the switched pure-feedback system is transformed into a switched strict-feedback system with non-affine terms based on the mean value theorem. Then, by exploiting the common Lyapunov function (CLF) method, the Barrier Lyapunov function method and backstepping, state feedback controllers of individual subsystems and a common Barrier Lyapunov function (CBLF) are constructed, which guarantee that all signals in the closed-loop system are global uniformly bounded under arbitrary switchings, and full state constraints are not violated. Furthermore, the tracking error can converge to a bounded compact set. Two examples, which include a single-link robot as a practical example, are provided to demonstrate the effectiveness of the proposed design method. Journal: International Journal of Systems Science Pages: 3094-3107 Issue: 15 Volume: 49 Year: 2018 Month: 11 X-DOI: 10.1080/00207721.2018.1533050 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1533050 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:15:p:3094-3107 Template-Type: ReDIF-Article 1.0 Author-Name: Ali Reza Hakimi Author-X-Name-First: Ali Reza Author-X-Name-Last: Hakimi Author-Name: Tahereh Binazadeh Author-X-Name-First: Tahereh Author-X-Name-Last: Binazadeh Title: Robust limit cycle control in a class of nonlinear discrete-time systems Abstract: This paper studies generation of robust periodic solutions in a class of nonlinear discrete-time system. The sustained oscillations, with the desired frequency and amplitude, are achieved through the creation of the appropriate elliptic limit cycle in the phase plane of the uncertain closed-loop discrete-time system. In the first step, the nominal control law is designed to enforce the trajectories of the nominal closed-loop system to converge to the desired limit cycle. Next, considering uncertain terms, an additional robustifying term is designed. This term is added to the nominal controller to sustain the desirable stable oscillations in the presence of uncertain terms. The resulted robust controller brings the trajectories of the uncertain closed-loop discrete-time system to a boundary layer (with adjustable width) around the desired limit cycle. Moreover, the domain of attraction of the limit cycle and also the ultimate boundary layer around it are calculated via the Lyapunov analysis. Additionally, in order to verify the applicability of the proposed method, it is implemented on the discretised model of a spring–damper system. Computer simulations confirm the theoretical results in generating robust stable oscillations. Journal: International Journal of Systems Science Pages: 3108-3116 Issue: 15 Volume: 49 Year: 2018 Month: 11 X-DOI: 10.1080/00207721.2018.1533599 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1533599 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:15:p:3108-3116 Template-Type: ReDIF-Article 1.0 Author-Name: Zi-Jiang Yang Author-X-Name-First: Zi-Jiang Author-X-Name-Last: Yang Title: Robust consensus tracking of second-order nonlinear systems using relative position information by K-filter and disturbance observer based control Abstract: This work considers the problem of distributed consensus tracking control of second-order uncertain nonlinear systems under a directed communication graph which contains a spanning tree, where the leader node is the root. It is assumed that the followers receive only the relative positions from the neighbours. For the purpose of consensus tracking controller design, in each follower, a group of K-filters is introduced so that the necessity of velocity estimating is avoided. Then we can express each follower's tracking error dynamics as a second-order system with mismatched uncertainties. And hence we can design a robust consensus tracking controller for each follower by using the combination of the backstepping design and the disturbance observer based control using only relative position information. Theoretical analysis is performed to show that the DOBs' estimation errors can be made to decay to be sufficiently small very quickly before the system states escape from the feasible region. Then we show that all the followers' states track those of the leader with arbitrarily small ultimate error bounds. And simulation examples are provided to demonstrate the performance of the proposed method. Journal: International Journal of Systems Science Pages: 3117-3129 Issue: 15 Volume: 49 Year: 2018 Month: 11 X-DOI: 10.1080/00207721.2018.1533600 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1533600 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:15:p:3117-3129 Template-Type: ReDIF-Article 1.0 Author-Name: Yekai Yang Author-X-Name-First: Yekai Author-X-Name-Last: Yang Author-Name: Zhaoxu Yu Author-X-Name-First: Zhaoxu Author-X-Name-Last: Yu Author-Name: Shugang Li Author-X-Name-First: Shugang Author-X-Name-Last: Li Title: Adaptive output feedback quantised tracking control for stochastic nonstrict-feedback nonlinear systems with input saturation Abstract: This paper is concerned with the problem of adaptive output feedback quantised tracking control for a class of stochastic nonstrict-feedback nonlinear systems with asymmetric input saturation. Especially, both input and output signals are quantised by two sector-bounded quantisers. In order to solve the technical difficulties originating from asymmetric saturation nonlinearities and sector-bounded quantisation errors, some special technique, approximation-based methods and Gaussian error function-based continuous differentiable model are exploited. Meanwhile, an observer including the quantised input and output signals is designed to estimate the states. Then, a novel output feedback adaptive quantised control scheme is proposed to ensure that all signals in the closed-loop system are 4-moment (2-moment) semi-globally uniformly ultimately bounded while the output signal follows a desired reference signal. Finally, the effectiveness and applicability of the design methodology is illustrated with two simulation examples. Journal: International Journal of Systems Science Pages: 3130-3145 Issue: 15 Volume: 49 Year: 2018 Month: 11 X-DOI: 10.1080/00207721.2018.1534025 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1534025 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:15:p:3130-3145 Template-Type: ReDIF-Article 1.0 Author-Name: Miao He Author-X-Name-First: Miao Author-X-Name-Last: He Author-Name: Junmin Li Author-X-Name-First: Junmin Author-X-Name-Last: Li Title: Robust nonfragile guaranteed cost control for uncertain T-S fuzzy Markov jump systems with mode-dependent average dwell time and input constraint Abstract: This paper aims to investigate the problem of robust nonfragile guaranteed cost control for uncertain Takagi-Sugeno fuzzy systems with Markov jump parameters, time-varying delay and input constraint. A nonfragile mode-dependent fuzzy controller with mode-dependent average dwell time (MDADT) is designed with input constraint. A sufficient condition is developed to ensure that the resulting closed-loop system is robust almost surely asymptotically stable with guaranteed cost index not exceeding the specified upper bound. Subsequently, the controller gain and upper bound of the guaranteed cost index can be obtained by solving a set of linear matrix inequalities. Finally, numerical and practical examples are provided to demonstrate the performance of the proposed approach. Journal: International Journal of Systems Science Pages: 3146-3168 Issue: 15 Volume: 49 Year: 2018 Month: 11 X-DOI: 10.1080/00207721.2018.1534026 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1534026 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:15:p:3146-3168 Template-Type: ReDIF-Article 1.0 Author-Name: Zhina Zhang Author-X-Name-First: Zhina Author-X-Name-Last: Zhang Author-Name: Yugang Niu Author-X-Name-First: Yugang Author-X-Name-Last: Niu Title: Adaptive sliding mode control for interval type-2 stochastic fuzzy systems subject to actuator failures Abstract: This paper investigates the problem of adaptive sliding mode control for a class of interval type-2 Itô stochastic fuzzy systems, where the actuator failures may happen. The sliding function is firstly constructed, whose key feature is its dependence on the upper membership functions. And then, an adaptive scheme is proposed to estimate the effectiveness lose values of faulty actuators, and a sliding mode controller based on estimating scheme is designed such that the reachability of the specified sliding surface can be guaranteed even in the presence of actuator failures, in which the lower and upper membership functions are involved. Moreover, the stability conditions of sliding mode dynamics are derived, which involve some coupling terms of Lyapunov matrix and the sliding matrix. By introducing additional matrix variables and employing the cone complementary linearisation algorithm, the above nonlinear stability criterions are decoupled and lastly converted to a minimisation problem with linear constraints. Finally, a numerical example demonstrates the validity of the proposed method. Journal: International Journal of Systems Science Pages: 3169-3181 Issue: 15 Volume: 49 Year: 2018 Month: 11 X-DOI: 10.1080/00207721.2018.1534027 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1534027 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:15:p:3169-3181 Template-Type: ReDIF-Article 1.0 Author-Name: Zhiru Cao Author-X-Name-First: Zhiru Author-X-Name-Last: Cao Author-Name: Yugang Niu Author-X-Name-First: Yugang Author-X-Name-Last: Niu Author-Name: Tinggang Jia Author-X-Name-First: Tinggang Author-X-Name-Last: Jia Title: Input–output finite-time stabilisation of Markovian jump systems with incomplete transition rates: a sliding mode method Abstract: In this paper, the input–output finite-time stabilisation (IO-FTS) problem for a class of Markovian jump systems is investigated, in which some elements in the transition rate matrix are partially known and an explicit output constraint condition is required, i.e. the system output (weighted) norm does not exceed an assigned threshold β. An extended definition of IO-FTS is firstly given to reduce the conservativeness arising from zero initial condition $ x(0)=0 $ x(0)=0. A parameter-dependent sliding mode control strategy is proposed to eliminate the effect of partially known transition rates such that state trajectories are driven to the specified sliding surface during a given finite (possibly short) time interval. Besides, the sufficient conditions are derived to ensure the IO-FTS of the closed-loop systems over the finite-time interval including the reaching phase and the sliding motion phase. Finally, a simulation example illustrates the validity of the proposed method. Journal: International Journal of Systems Science Pages: 3182-3195 Issue: 15 Volume: 49 Year: 2018 Month: 11 X-DOI: 10.1080/00207721.2018.1534028 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1534028 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:15:p:3182-3195 Template-Type: ReDIF-Article 1.0 Author-Name: Fatemeh Jahangiri Author-X-Name-First: Fatemeh Author-X-Name-Last: Jahangiri Author-Name: Heidar Ali Talebi Author-X-Name-First: Heidar Ali Author-X-Name-Last: Talebi Author-Name: Mohammad Bagher Menhaj Author-X-Name-First: Mohammad Bagher Author-X-Name-Last: Menhaj Author-Name: Christian Ebenbauer Author-X-Name-First: Christian Author-X-Name-Last: Ebenbauer Title: A novel scheme for output definition in feedback passivation of nonlinear systems Abstract: In this paper, a set of conditions for defining output functions is derived such that a system can become passive by static state feedback. A key feature of the proposed set of conditions is that several output functions that satisfy these conditions can be defined without any transformation into a normal form or any need of linearisation of the system. In essence, this paper introduces a new connection between the Lyapunov stability concept and minimum phase property which is indeed a necessary condition of feedback passivity. Journal: International Journal of Systems Science Pages: 3196-3201 Issue: 15 Volume: 49 Year: 2018 Month: 11 X-DOI: 10.1080/00207721.2018.1534149 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1534149 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:15:p:3196-3201 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaoqiang Hou Author-X-Name-First: Xiaoqiang Author-X-Name-Last: Hou Author-Name: Ming Yue Author-X-Name-First: Ming Author-X-Name-Last: Yue Author-Name: Jian Zhao Author-X-Name-First: Jian Author-X-Name-Last: Zhao Author-Name: Xiaohua Zhang Author-X-Name-First: Xiaohua Author-X-Name-Last: Zhang Title: An ESO-based integrated trajectory tracking control for tractor–trailer vehicles with various constraints and physical limitations Abstract: This paper develops an effective integrated control strategy for the trajectory tracking control of a tractor–trailer vehicle which suffers from inaccessible system states and uncertain disturbance for practical implementation. In addition, diverse problems, such as nonholonomic constraints, underactuated dynamics, physical limitations, etc, can be resolved favourably all together. Aiming to the vehicle trajectory tracking, a constrained model predictive control (MPC) is introduced as a trajectory tracking module, by which the underactuated dynamics, various constraints and physical limitations, can be tackled at the same time. For the desired velocity tracking, a robust global terminal sliding mode control (GTSMC) is employed to guarantee the finite-time convergence of the velocity tracking process, which will improve the transient performance to a great extent. Particularly, in the absence of velocity information, an extended state observer (ESO) is developed to estimate the vehicle velocity in addition to simultaneously obtaining the uncertain disturbance information, which offers prerequisite for the previous control approaches. The simulation results confirm that the presented control strategy can synthesise varied control techniques effectively and deal with diverse problems for the trajectory tracking of tractor–trailer vehicles successfully. Journal: International Journal of Systems Science Pages: 3202-3215 Issue: 15 Volume: 49 Year: 2018 Month: 11 X-DOI: 10.1080/00207721.2018.1535100 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1535100 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:15:p:3202-3215 Template-Type: ReDIF-Article 1.0 Author-Name: Jitao Li Author-X-Name-First: Jitao Author-X-Name-Last: Li Author-Name: Zhenhua Wang Author-X-Name-First: Zhenhua Author-X-Name-Last: Wang Author-Name: Yi Shen Author-X-Name-First: Yi Author-X-Name-Last: Shen Author-Name: Ye Wang Author-X-Name-First: Ye Author-X-Name-Last: Wang Title: Zonotopic fault detection observer design for Takagi–Sugeno fuzzy systems Abstract: This paper considers zonotopic fault detection observer design in the finite-frequency domain for discrete-time Takagi–Sugeno fuzzy systems with unknown but bounded disturbances and measurement noise. We present a novel fault detection observer structure, which is more general than the commonly used Luenberger form. To make the generated residual sensitive to faults and robust against disturbances, we develop a finite-frequency fault detection observer based on generalised Kalman–Yakubovich–Popov lemma and P-radius criterion. The design conditions are expressed in terms of linear matrix inequalities. The major merit of the proposed method is that residual evaluation can be easily implemented via zonotopic approach. Numerical examples are conducted to demonstrate the proposed method. Journal: International Journal of Systems Science Pages: 3216-3230 Issue: 15 Volume: 49 Year: 2018 Month: 11 X-DOI: 10.1080/00207721.2018.1535101 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1535101 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:15:p:3216-3230 Template-Type: ReDIF-Article 1.0 Author-Name: Laura Celentano Author-X-Name-First: Laura Author-X-Name-Last: Celentano Author-Name: Raffaele Iervolino Author-X-Name-First: Raffaele Author-X-Name-Last: Iervolino Title: Trajectory tracking of a class of uncertain systems applied to vehicle platooning and antenna scanning systems Abstract: The tracking problem is considered for a recurring class of systems, such as the Cartesian robots with real actuators, some transportation systems, and scanning devices used for medical and engineering applications. Some theorems are proved to design a PD type controller, with a possible compensation signal, in order to track sufficiently smooth trajectories with a prescribed maximum error. The developed design methodology is illustrated through two engineering examples. The first example concerns the safety distance control of an electric vehicles fleet. The second example deals with the identification of an antenna scanning system and the prototype design of a new controller that provides better performance than the current one. Journal: International Journal of Systems Science Pages: 3231-3246 Issue: 15 Volume: 49 Year: 2018 Month: 11 X-DOI: 10.1080/00207721.2018.1535676 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1535676 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:15:p:3231-3246 Template-Type: ReDIF-Article 1.0 Author-Name: Jih-Yiing Lin Author-X-Name-First: Jih-Yiing Author-X-Name-Last: Lin Author-Name: Ying-ping Chen Author-X-Name-First: Ying-ping Author-X-Name-Last: Chen Title: Population sizing for inductive linkage identification Abstract: Variable interdependency, referred to as linkage in genetic algorithms (GAs), has been among the most useful information in evolutionary optimisation. With the aid of linkage information, efficient evolution can be attained by GAs. Among variants of advanced GAs, linkages are either explicitly identified, as in perturbation-based methods, or implicitly extracted, as in estimation of distribution algorithms (EDAs). As linkage discovery can be considered a matter of information extraction, Shannon's entropy, a renowned metric, has been widely adopted in modern GAs. Despite the validation of theoretical bounds, which is not algorithm-specific, on evaluation complexity of linkage problems, a representative population sizing model for discrete EDAs has been developed based on the distribution of entropy measurement. On the other hand, though entropy metrics have been adopted in recent perturbation-based methods, relevant complexity analysis on these methods is still absent. In this article, we propose a population sizing model for a recently developed linkage identification method, called inductive linkage identification (ILI). The proposed model takes the entropy-based classification algorithm into account and is capable of providing an accurate estimation of population requirement. The adopted modelling approach is different than that for discrete EDAs and may give researchers insights into entropy-based linkage discovery approaches. Journal: International Journal of Systems Science Pages: 1-13 Issue: 1 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.577246 File-URL: http://hdl.handle.net/10.1080/00207721.2011.577246 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:1:p:1-13 Template-Type: ReDIF-Article 1.0 Author-Name: Gerardo Romero Author-X-Name-First: Gerardo Author-X-Name-Last: Romero Author-Name: Iván Díaz Author-X-Name-First: Iván Author-X-Name-Last: Díaz Author-Name: Irma Pérez Author-X-Name-First: Irma Author-X-Name-Last: Pérez Author-Name: Alfredo Guerrero Author-X-Name-First: Alfredo Author-X-Name-Last: Guerrero Author-Name: David Lara Author-X-Name-First: David Author-X-Name-Last: Lara Author-Name: José Rivera Author-X-Name-First: José Author-X-Name-Last: Rivera Title: New results on robust stability for differential-difference systems with affine linear parametric uncertainty Abstract: This article presents sufficient conditions to verify the robust stability property of convex combinations for quasipolynomials that represent the characteristic equation of differential-difference dynamics systems. It considers affine linear parametric uncertainty structure in the coefficients of quasipolynomials and also, interval uncertainty in the time delay. First of all, a transformation of the delay's operator is performed in order to get a two variable polynomial; after this, to obtain the robust stability property, a result based on the Hurwitz matrix is applied. Journal: International Journal of Systems Science Pages: 14-22 Issue: 1 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.577247 File-URL: http://hdl.handle.net/10.1080/00207721.2011.577247 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:1:p:14-22 Template-Type: ReDIF-Article 1.0 Author-Name: Chih-Peng Huang Author-X-Name-First: Chih-Peng Author-X-Name-Last: Huang Title: Stability analysis and controller synthesis for fuzzy descriptor systems Abstract: This article primarily investigates the stability and controller design of fuzzy descriptor systems. The standard Takagi–Sugeno (T–S) fuzzy model is generalised into a descriptor T–S fuzzy model with the distinct derivative matrices in each rule, which can be used to represent a larger class of nonlinear systems. Based on a derived equivalent stability condition for the nominal descriptor system, the stability of unforced fuzzy descriptor systems with blending different derivative matrices can be treated. Furthermore, parallel distributed compensation (PDC) and a fuzzy proportional and derivative state feedback (PDSF) controller are proposed for stabilising the resulting closed-loop fuzzy descriptor systems. Significantly, all the presented criteria are formulated in terms of linear matrix inequalities (LMIs), so the stability analysis or a stabilising fuzzy controller can be readily achieved via current LMI solvers. Given numerical examples, we demonstrate the effectiveness and merit of the proposed approach. Journal: International Journal of Systems Science Pages: 23-33 Issue: 1 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.577248 File-URL: http://hdl.handle.net/10.1080/00207721.2011.577248 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:1:p:23-33 Template-Type: ReDIF-Article 1.0 Author-Name: Ying Shang Author-X-Name-First: Ying Author-X-Name-Last: Shang Title: Towards geometric control of max-plus linear systems with applications to queueing networks Abstract: The max-plus linear systems have been studied for almost three decades, however, a well-established system theory on such specific systems is still an on-going research. The geometric control theory in particular was proposed as the future direction for max-plus linear systems by Cohen et al. [Cohen, G., Gaubert, S. and Quadrat, J.P. (1999), ‘Max-plus Algebra and System Theory: Where we are and Where to Go Now’, Annual Reviews in Control, 23, 207--219]. This article generalises R.E. Kalman's abstract realisation theory for traditional linear systems over fields to max-plus linear systems. The new generalised version of Kalman's abstract realisation theory not only provides a more concrete state space representation other than just a ‘set-theoretic’ representation for the canonical realisation of a transfer function, but also leads to the computational methods for the controlled invariant semimodules in the kernel and the equivalence kernel of the output map. These controlled invariant semimodules play key roles in the standard geometric control problems, such as disturbance decoupling problem and block decoupling problem. A queueing network is used to illustrate the main results in this article. Journal: International Journal of Systems Science Pages: 34-49 Issue: 1 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.577251 File-URL: http://hdl.handle.net/10.1080/00207721.2011.577251 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:1:p:34-49 Template-Type: ReDIF-Article 1.0 Author-Name: Mohit Kumar Author-X-Name-First: Mohit Author-X-Name-Last: Kumar Author-Name: Shiv Prasad Yadav Author-X-Name-First: Shiv Author-X-Name-Last: Prasad Yadav Author-Name: Surendra Kumar Author-X-Name-First: Surendra Author-X-Name-Last: Kumar Title: Fuzzy system reliability evaluation using time-dependent intuitionistic fuzzy set Abstract: In general, fuzzy sets are used to analyse the system reliability. In this article, the concept of fuzzy set is extended by the idea of intuitionistic fuzzy set (IFS) and a new general procedure is proposed to construct the membership and non-membership functions of the fuzzy reliability using time-dependent IFS. Here, failure rate function of the system is represented by a triangular intuitionistic fuzzy number (IFN). Also, using proposed approach, membership and non-membership functions of fuzzy reliability of series and parallel systems are constructed, where the failure rate of each component is taken as a time-dependent triangular IFN. The major advantage of using IFS over fuzzy sets is that IFS separate the positive and negative evidences for membership of an element in the set. Numerical examples are given to illustrate the proposed approach. Journal: International Journal of Systems Science Pages: 50-66 Issue: 1 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.581393 File-URL: http://hdl.handle.net/10.1080/00207721.2011.581393 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:1:p:50-66 Template-Type: ReDIF-Article 1.0 Author-Name: S. Karthikeyan Author-X-Name-First: S. Author-X-Name-Last: Karthikeyan Author-Name: K. Balachandran Author-X-Name-First: K. Author-X-Name-Last: Balachandran Title: On controllability for a class of stochastic impulsive systems with delays in control Abstract: In this work, we study the controllability of stochastic impulsive systems with distributed delays in control in finite dimensional spaces. Some sufficient criteria ensuring the relative controllability of the nonlinear stochastic impulsive delayed systems are established. The results are obtained using the Banach fixed point theorem. Finally, an example is also discussed to illustrate the efficiency of the obtained results. Some important comments are included on nonlinear stochastic control problems. Journal: International Journal of Systems Science Pages: 67-76 Issue: 1 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.581394 File-URL: http://hdl.handle.net/10.1080/00207721.2011.581394 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:1:p:67-76 Template-Type: ReDIF-Article 1.0 Author-Name: Cheng-Dar Liou Author-X-Name-First: Cheng-Dar Author-X-Name-Last: Liou Author-Name: Yi-Chih Hsieh Author-X-Name-First: Yi-Chih Author-X-Name-Last: Hsieh Author-Name: Yin-Yann Chen Author-X-Name-First: Yin-Yann Author-X-Name-Last: Chen Title: A new encoding scheme-based hybrid algorithm for minimising two-machine flow-shop group scheduling problem Abstract: This article investigates the two-machine flow-shop group scheduling problem (GSP) with sequence-dependent setup and removal times, and job transportation times between machines. The objective is to minimise the total completion time. As known, this problem is an NP-hard problem and generalises the typical two-machine GSPs. In this article, a new encoding scheme based on permutation representation is proposed to transform a random job permutation to a feasible permutation for GSPs. The proposed encoding scheme simultaneously determines both the sequence of jobs in each group and the sequence of groups. By reasonably combining particle swarm optimisation (PSO) and genetic algorithm (GA), we develop a fast and easily implemented hybrid algorithm (HA) for solving the considered problems. The effectiveness and efficiency of the proposed HA are demonstrated and compared with those of standard PSO and GA by numerical results of various tested instances with group numbers up to 20. In addition, three different lower bounds are developed to evaluate the solution quality of the HA. Limited numerical results indicate that the proposed HA is a viable and effective approach for the studied two-machine flow-shop group scheduling problem. Journal: International Journal of Systems Science Pages: 77-93 Issue: 1 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.581396 File-URL: http://hdl.handle.net/10.1080/00207721.2011.581396 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:1:p:77-93 Template-Type: ReDIF-Article 1.0 Author-Name: Hui-Ping Ho Author-X-Name-First: Hui-Ping Author-X-Name-Last: Ho Author-Name: Ching-Ter Chang Author-X-Name-First: Ching-Ter Author-X-Name-Last: Chang Author-Name: Cheng-Yuan Ku Author-X-Name-First: Cheng-Yuan Author-X-Name-Last: Ku Title: On the location selection problem using analytic hierarchy process and multi-choice goal programming Abstract: Location selection is a crucial decision in cost/benefit analysis of restaurants, coffee shops and others. However, it is difficult to be solved because there are many conflicting multiple goals in the problem of location selection. In order to solve the problem, this study integrates analytic hierarchy process (AHP) and multi-choice goal programming (MCGP) as a decision aid to obtain an appropriate house from many alternative locations that better suit the preferences of renters under their needs. This study obtains weights from AHP and implements it upon each goal using MCGP for the location selection problem. According to the function of multi-aspiration provided by MCGP, decision makers can set multi-aspiration for each location goal to rank the candidate locations. Compared to the unaided selection processes, the integrated approach of AHP and MCGP is a better scientific and efficient method than traditional methods in finding a suitable location for buying or renting a house for business, especially under multiple qualitative and quantitative criteria within a shorter evaluation time. In addition, a real case is provided to demonstrate the usefulness of the proposed method. The results show that the proposed method is able to provide better quality decision than normal manual methods. Journal: International Journal of Systems Science Pages: 94-108 Issue: 1 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.581397 File-URL: http://hdl.handle.net/10.1080/00207721.2011.581397 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:1:p:94-108 Template-Type: ReDIF-Article 1.0 Author-Name: A. Sharifi Author-X-Name-First: A. Author-X-Name-Last: Sharifi Author-Name: M. Shoorehdeli Author-X-Name-First: M. Author-X-Name-Last: Shoorehdeli Author-Name: M. Teshnehlab Author-X-Name-First: M. Author-X-Name-Last: Teshnehlab Title: Hierarchical wavelet packet fuzzy inference system for pattern classification and system identification Abstract: This study presents a hierarchical Takagi–Sugeno–Kang type fuzzy system called hierarchical wavelet packet fuzzy inference system. In the proposed method, wavelet packet transform is applied on the input data to produce approximation and detail sub-bands of the input data and the output is used as the input vector of the proposed network. This network uses a hierarchical structure same as wavelet packet decomposition tree, in which adaptive network-based fuzzy inference system is used as sub-model. Also, gradient descent algorithm is chosen for training the parameters of antecedent and conclusion parts of the sub-models. In order to evaluate the capability of the proposed method, its applications in pattern classification, system identification and time-series prediction have been studied. The results show that the proposed method performs better than the other conventional models. Journal: International Journal of Systems Science Pages: 109-126 Issue: 1 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.583998 File-URL: http://hdl.handle.net/10.1080/00207721.2011.583998 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:1:p:109-126 Template-Type: ReDIF-Article 1.0 Author-Name: S. Panda Author-X-Name-First: S. Author-X-Name-Last: Panda Author-Name: S. Saha Author-X-Name-First: S. Author-X-Name-Last: Saha Author-Name: M. Basu Author-X-Name-First: M. Author-X-Name-Last: Basu Title: Optimal pricing and lot-sizing for perishable inventory with price and time dependent ramp-type demand Abstract: Product perishability is an important aspect of inventory control. To minimise the effect of deterioration, retailers in supermarkets, departmental store managers, etc. always want higher inventory depletion rate. In this article, we propose a dynamic pre- and post-deterioration cumulative discount policy to enhance inventory depletion rate resulting low volume of deterioration cost, holding cost and hence higher profit. It is assumed that demand is a price and time dependent ramp-type function and the product starts to deteriorate after certain amount of time. Unlike the conventional inventory models with pricing strategies, which are restricted to a fixed number of price changes and to a fixed cycle length, we allow the number of price changes before as well as after the start of deterioration and the replenishment cycle length to be the decision variables. Before start of deterioration, discounts on unit selling price are provided cumulatively in successive pricing cycles. After the start of deterioration, discounts on reduced unit selling price are also provided in a cumulative way. A mathematical model is developed and the existence of the optimal solution is verified. A numerical example is presented, which indicates that under the cumulative effect of price discounting, dynamic pricing policy outperforms static pricing strategy. Sensitivity analysis of the model is carried out. Journal: International Journal of Systems Science Pages: 127-138 Issue: 1 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.598956 File-URL: http://hdl.handle.net/10.1080/00207721.2011.598956 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:1:p:127-138 Template-Type: ReDIF-Article 1.0 Author-Name: Yu Zhang Author-X-Name-First: Yu Author-X-Name-Last: Zhang Author-Name: Gang Feng Author-X-Name-First: Gang Author-X-Name-Last: Feng Author-Name: Jitao Sun Author-X-Name-First: Jitao Author-X-Name-Last: Sun Title: Stability of impulsive piecewise linear systems Abstract: In this article, stability of impulsive piecewise linear systems is investigated and a number of stability criteria are obtained based on Lyapunov functions. Both the stability results that impulses act as perturbation and the stability results that impulses act as stabiliser are given. Some examples are also presented to illustrate the effectiveness of the obtained results. It should be noted that it is the first time that the continuous time impulsive piecewise linear system is considered. Journal: International Journal of Systems Science Pages: 139-150 Issue: 1 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.598957 File-URL: http://hdl.handle.net/10.1080/00207721.2011.598957 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:1:p:139-150 Template-Type: ReDIF-Article 1.0 Author-Name: Xiao-Zheng Jin Author-X-Name-First: Xiao-Zheng Author-X-Name-Last: Jin Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Author-Name: Xiao-Heng Chang Author-X-Name-First: Xiao-Heng Author-X-Name-Last: Chang Title: Robust and adaptive tracking control against actuator faults with a linearised aircraft application Abstract: This article studies the problem of designing adaptive fault-tolerant H∞ tracking controllers for a class of aircraft flight systems against general actuator faults and bounded perturbations. A robust adaptive state-feedback controller is constructed by a stabilising controller gain and an adaptive control gain function. Using mode-dependent Lyapunov functions, linear matrix inequality-based conditions are developed to find the controller gain such that disturbance attenuation performance is optimised. Adaptive control schemes are proposed to estimate the unknown controller parameters on-line for unparametrisable stuck faults and perturbation compensations. Based on Lyapunov stability theory, it is shown that the resulting closed-loop systems can guarantee asymptotic tracking with H∞ performances in the presence of faults on actuators and perturbations. An application to a decoupled linearised dynamic aircraft system and its simulation results are given. Journal: International Journal of Systems Science Pages: 151-165 Issue: 1 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.598958 File-URL: http://hdl.handle.net/10.1080/00207721.2011.598958 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:1:p:151-165 Template-Type: ReDIF-Article 1.0 Author-Name: Jianan Wang Author-X-Name-First: Jianan Author-X-Name-Last: Wang Author-Name: Ming Xin Author-X-Name-First: Ming Author-X-Name-Last: Xin Title: Optimal consensus algorithm integrated with obstacle avoidance Abstract: This article proposes a new consensus algorithm for the networked single-integrator systems in an obstacle-laden environment. A novel optimal control approach is utilised to achieve not only multi-agent consensus but also obstacle avoidance capability with minimised control efforts. Three cost functional components are defined to fulfil the respective tasks. In particular, an innovative nonquadratic obstacle avoidance cost function is constructed from an inverse optimal control perspective. The other two components are designed to ensure consensus and constrain the control effort. The asymptotic stability and optimality are proven. In addition, the distributed and analytical optimal control law only requires local information based on the communication topology to guarantee the proposed behaviours, rather than all agents’ information. The consensus and obstacle avoidance are validated through simulations. Journal: International Journal of Systems Science Pages: 166-177 Issue: 1 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.598960 File-URL: http://hdl.handle.net/10.1080/00207721.2011.598960 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:1:p:166-177 Template-Type: ReDIF-Article 1.0 Author-Name: Guoying Miao Author-X-Name-First: Guoying Author-X-Name-Last: Miao Author-Name: Shengyuan Xu Author-X-Name-First: Shengyuan Author-X-Name-Last: Xu Author-Name: Yun Zou Author-X-Name-First: Yun Author-X-Name-Last: Zou Title: Necessary and sufficient conditions for mean square consensus under Markov switching topologies Abstract: This article deals with the mean square consensus problem for second-order discrete-time multi-agent systems. Both cases of systems with and without time delays in Markov switching topologies are considered. With the introduced control protocols, necessary and sufficient conditions for mean square consensus of second-order multi-agent systems are derived. Under the given control protocols in Markov switching topologies, the second-order multi-agent systems can reach mean square consensus if and only if each union of the graphs corresponding to all the nodes in closed sets has a spanning tree. Finally, a simulation example is provided to illustrate the effectiveness of our theoretical results. Journal: International Journal of Systems Science Pages: 178-186 Issue: 1 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.598961 File-URL: http://hdl.handle.net/10.1080/00207721.2011.598961 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:1:p:178-186 Template-Type: ReDIF-Article 1.0 Author-Name: P. Balasubramaniam Author-X-Name-First: P. Author-X-Name-Last: Balasubramaniam Author-Name: T. Senthilkumar Author-X-Name-First: T. Author-X-Name-Last: Senthilkumar Title: Delay-range-dependent robust stabilisation and control for nonlinear uncertain stochastic fuzzy systems with mode-dependent time delays and Markovian jump parameters Abstract: This article focuses on the problems of robust stabilisation and H∞ control for nonlinear uncertain stochastic systems with mode-dependent time delay and Markovian jump parameters represented by the Takagi–Sugeno (T-S) fuzzy model approach. The system under consideration involves parameter uncertainties, Itô-type stochastic disturbances, Markovian jump parameters and unknown nonlinear disturbances. The purpose is to design a state feedback controller such that the closed-loop system is robustly exponentially stable in the mean square and satisfies a prescribed H∞ performance level. Novel delay-range-dependent conditions in the form of linear matrix inequalities (LMIs) are derived for the solvability of robust stabilisation and H∞ control problem. A desired fuzzy controller can be constructed by solving a set solutions of LMIs and can be easily calculated by Matlab LMI control toolbox. Finally, a numerical example is presented to illustrate the proposed method. Journal: International Journal of Systems Science Pages: 187-200 Issue: 1 Volume: 44 Year: 2013 X-DOI: 10.1080/00207721.2011.600470 File-URL: http://hdl.handle.net/10.1080/00207721.2011.600470 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:44:y:2013:i:1:p:187-200 Template-Type: ReDIF-Article 1.0 Author-Name: Wei Yan Author-X-Name-First: Wei Author-X-Name-Last: Yan Title: Continuous-time safety-first portfolio selection with jump-diffusion processes Abstract: This article is concerned with continuous-time portfolio selection based on a safety-first criterion under discontinuous price processes (jump-diffusion processes). The solution of the corresponding Hamilton–Jacobi–Bellman equation of the problem is demonstrated. The analytical solutions are presented when there does not exist any riskless asset. Moreover, the problem is also discussed while there exists one riskless asset. Journal: International Journal of Systems Science Pages: 622-628 Issue: 4 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.517866 File-URL: http://hdl.handle.net/10.1080/00207721.2010.517866 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:4:p:622-628 Template-Type: ReDIF-Article 1.0 Author-Name: Dongsheng Du Author-X-Name-First: Dongsheng Author-X-Name-Last: Du Author-Name: Bin Jiang Author-X-Name-First: Bin Author-X-Name-Last: Jiang Author-Name: Peng Shi Author-X-Name-First: Peng Author-X-Name-Last: Shi Title: Sensor fault estimation and compensation for time-delay switched systems Abstract: In this article, the problems of sensor fault estimation and compensation approaches for time-delay switched systems are investigated based on a switched descriptor observer approach. First, a novel time-delay switched descriptor state observer is proposed to estimate both the state and sensor fault. The proposed observer technique is also extended to systems with nonlinearities. Then, based on the estimation of the sensor fault, an efficient fault-tolerant operation can be realised via sensor fault compensation. Finally, an example is given to show the efficiency of the developed techniques. Journal: International Journal of Systems Science Pages: 629-640 Issue: 4 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.517867 File-URL: http://hdl.handle.net/10.1080/00207721.2010.517867 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:4:p:629-640 Template-Type: ReDIF-Article 1.0 Author-Name: Quan Quan Author-X-Name-First: Quan Author-X-Name-Last: Quan Author-Name: Kai-Yuan Cai Author-X-Name-First: Kai-Yuan Author-X-Name-Last: Cai Title: A stability theorem of the direct Lyapunov's method for neutral-type systems in a critical case Abstract: A new stability theorem of the direct Lyapunov's method is proposed for neutral-type systems. The main contribution of the proposed theorem is to remove the condition that the 𝒟 operator is stable. In order to demonstrate the effectiveness, the proposed theorem is used to determine the stability of a neutral-type system in a critical case, i.e. the dominant eigenvalues of the principal neutral term (matrix D in Introduction) lie on the unit circle. This is difficult or infeasible in previous studies. Journal: International Journal of Systems Science Pages: 641-646 Issue: 4 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.517869 File-URL: http://hdl.handle.net/10.1080/00207721.2010.517869 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:4:p:641-646 Template-Type: ReDIF-Article 1.0 Author-Name: Zhengguang Wu Author-X-Name-First: Zhengguang Author-X-Name-Last: Wu Author-Name: Peng Shi Author-X-Name-First: Peng Author-X-Name-Last: Shi Author-Name: Hongye Su Author-X-Name-First: Hongye Author-X-Name-Last: Su Author-Name: Jian Chu Author-X-Name-First: Jian Author-X-Name-Last: Chu Title: State estimation for discrete-time neural networks with time-varying delay Abstract: This article deals with the problem of delay-dependent state estimation for discrete-time neural networks with time-varying delay. Our objective is to design a state estimator for the neuron states through available output measurements such that the error state system is guaranteed to be globally exponentially stable. Based on the linear matrix inequality approach, a delay-dependent condition is developed for the existence of the desired state estimator via a novel Lyapunov functional. The obtained condition has less conservativeness than the existing ones, which is demonstrated by a numerical example. Journal: International Journal of Systems Science Pages: 647-655 Issue: 4 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.517870 File-URL: http://hdl.handle.net/10.1080/00207721.2010.517870 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:4:p:647-655 Template-Type: ReDIF-Article 1.0 Author-Name: Bei Chen Author-X-Name-First: Bei Author-X-Name-Last: Chen Author-Name: Jianmin Huang Author-X-Name-First: Jianmin Author-X-Name-Last: Huang Author-Name: Yugang Niu Author-X-Name-First: Yugang Author-X-Name-Last: Niu Title: Sliding mode control for Markovian jumping systems with actuator nonlinearities Abstract: This article considers the design of sliding mode control for stochastic Markovian jumping systems with actuator nonlinearities. In the design of integral sliding surfaces, a set of specified matrices are employed such that the connections among sliding surfaces corresponding to each mode are established. And then, a sliding mode controller depending on the transition rates is synthesised such that the reachability of the specified sliding surface can be ensured. Moreover, sufficient conditions for the stability of the sliding motions are derived. It is shown that the effect of Markovian switching can be coped with by the present sliding mode control method. Finally, the simulation results illustrating the proposed method are provided. Journal: International Journal of Systems Science Pages: 656-664 Issue: 4 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.517872 File-URL: http://hdl.handle.net/10.1080/00207721.2010.517872 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:4:p:656-664 Template-Type: ReDIF-Article 1.0 Author-Name: Dongmei Zhang Author-X-Name-First: Dongmei Author-X-Name-Last: Zhang Author-Name: Xingang Wang Author-X-Name-First: Xingang Author-X-Name-Last: Wang Title: Static output feedback control of networked control systems with packet dropout Abstract: This article deals with the problem of mean square stability of discrete-time networked control systems (NCSs) over a communication channel subject to packet dropout. By introducing a parameter-independent slack variable with lower triangular structure, the existence of a static output feedback controller is formulated in the form of linear matrix inequalities. Neither equality constraint nor iterative algorithm is involved through the derivation of the controller. Furthermore, a new algorithm is proposed to obtain the admissible packet dropout probability bound for the given controller gain. This is particularly important in the co-design of controller and scheduling for NCSs. The simplicity of the methods is demonstrated by numerical examples. Journal: International Journal of Systems Science Pages: 665-672 Issue: 4 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.517873 File-URL: http://hdl.handle.net/10.1080/00207721.2010.517873 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:4:p:665-672 Template-Type: ReDIF-Article 1.0 Author-Name: Wen-Tsung Ho Author-X-Name-First: Wen-Tsung Author-X-Name-Last: Ho Author-Name: Yu-Cheng Hsiao Author-X-Name-First: Yu-Cheng Author-X-Name-Last: Hsiao Title: Single supplier single retailer inventory model controlled by the reorder and shipping points with sharing information Abstract: This study investigated the integrated stochastic inventory problem for a two-stage supply chain consisting of a single retailer and a single supplier. By using batch shipment policy, the expected total cost can be significantly reduced. An equally sized batch shipment model, controlled by both the reorder and shipping points, with sharing information by enterprise resource planning and radio frequency identification is constructed. The problem is solved optimally by the proposed algorithm that determines the economic lot size, the optimal batch sizes and number of batches. A numerical example is included to illustrate the algorithmic procedures and to prove that the model controlled both by the reorder and shipping points is superior to the classic model controlled only by the reorder point. Journal: International Journal of Systems Science Pages: 673-681 Issue: 4 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.518251 File-URL: http://hdl.handle.net/10.1080/00207721.2010.518251 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:4:p:673-681 Template-Type: ReDIF-Article 1.0 Author-Name: Wei Guan Author-X-Name-First: Wei Author-X-Name-Last: Guan Title: Adaptive output feedback control of a class of uncertain nonlinear systems with unknown time delays Abstract: This article studies the adaptive output feedback control problem of a class of uncertain nonlinear systems with unknown time delays. The systems considered are dominated by a triangular system without zero dynamics satisfying linear growth in the unmeasurable states. The novelty of this article is that a universal-type adaptive output feedback controller is presented to time-delay systems, which can globally regulate all the states of the uncertain systems without knowing the growth rate. An illustrative example is provided to show the applicability of the developed control strategy. Journal: International Journal of Systems Science Pages: 682-690 Issue: 4 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.518252 File-URL: http://hdl.handle.net/10.1080/00207721.2010.518252 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:4:p:682-690 Template-Type: ReDIF-Article 1.0 Author-Name: Tian-Ping Zhang Author-X-Name-First: Tian-Ping Author-X-Name-Last: Zhang Author-Name: Qing Zhu Author-X-Name-First: Qing Author-X-Name-Last: Zhu Author-Name: Yue-Quan Yang Author-X-Name-First: Yue-Quan Author-X-Name-Last: Yang Title: Adaptive neural control of non-affine pure-feedback non-linear systems with input nonlinearity and perturbed uncertainties Abstract: In this article, two robust adaptive control schemes are investigated for a class of completely non-affine pure-feedback non-linear systems with input non-linearity and perturbed uncertainties using radial basis function neural networks (RBFNNs). Based on the dynamic surface control (DSC) technique and using the quadratic Lyapunov function, the explosion of complexity in the traditional backstepping design is avoided when the gain signs are known. In addition, the unknown virtual gain signs are dealt with using the Nussbaum functions. Using the mean value theorem and Young's inequality, only one learning parameter needs to be tuned online at each step of recursion. It is proved that the proposed design method is able to guarantee semi-global uniform ultimate boundedness (SGUUB) of all signals in the closed-loop system. Simulation results verify the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 691-706 Issue: 4 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.519060 File-URL: http://hdl.handle.net/10.1080/00207721.2010.519060 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:4:p:691-706 Template-Type: ReDIF-Article 1.0 Author-Name: Wei-Xiang Wang Author-X-Name-First: Wei-Xiang Author-X-Name-Last: Wang Author-Name: You-Lin Shang Author-X-Name-First: You-Lin Author-X-Name-Last: Shang Author-Name: Ying Zhang Author-X-Name-First: Ying Author-X-Name-Last: Zhang Title: Finding global minima with a novel filled function for non-smooth unconstrained optimisation Abstract: This article presents a novel filled function approach for finding a better minimiser of both non-smooth and smooth unconstrained global optimisations. Unlike any traditional filled function, in theory, the filled function proposed in this article does not assume that the objective function is coercive. Moreover, the proposed function contains only one parameter, which can be easily adjusted. In the algorithm section, an algorithm based on the proposed filled function is presented for unconstrained global optimisation in which the objective function is assumed to be coercive. A numerical test is also provided. The preliminary computational results show that the proposed filled function approach is promising. Journal: International Journal of Systems Science Pages: 707-714 Issue: 4 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.520094 File-URL: http://hdl.handle.net/10.1080/00207721.2010.520094 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:4:p:707-714 Template-Type: ReDIF-Article 1.0 Author-Name: Y.K. Foo Author-X-Name-First: Y.K. Author-X-Name-Last: Foo Author-Name: Y.C. Soh Author-X-Name-First: Y.C. Author-X-Name-Last: Soh Author-Name: M. Moayedi Author-X-Name-First: M. Author-X-Name-Last: Moayedi Title: Linear set-membership state estimation with unknown but bounded disturbances Abstract: In this article, we consider the problem of discrete-time linear state estimation when at every discrete instant Δ the Euclidean norm of the discrete-time disturbance ‖w(Δ)‖2 is bounded within some known value. Specifically, given a hypersphere that contains the uncertain disturbance signal w(Δ) and an ellipsoid containing the uncertain system state x(Δ) at time step Δ, a sub-optimal approach to computing a linear minimax filter which constructs a minimal ellipsoid to contain x(Δ + 1) is derived. A distinct feature of our approach when compared to earlier solutions is that both the filter and the performance bound can be pre-computed off-line. Journal: International Journal of Systems Science Pages: 715-730 Issue: 4 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.521596 File-URL: http://hdl.handle.net/10.1080/00207721.2010.521596 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:4:p:715-730 Template-Type: ReDIF-Article 1.0 Author-Name: Xinquan Zhang Author-X-Name-First: Xinquan Author-X-Name-Last: Zhang Author-Name: Jun Zhao Author-X-Name-First: Jun Author-X-Name-Last: Zhao Author-Name: Georgi Dimirovski Author-X-Name-First: Georgi Author-X-Name-Last: Dimirovski Title: -gain analysis and control synthesis of uncertain switched linear systems subject to actuator saturation Abstract: This article addresses the L2-gain analysis and control synthesis problem for a class of uncertain switched linear systems with saturating actuators and external disturbances. First, when the controllers are pre-given, an analysis condition on disturbance tolerance is established under which the state trajectory starting from the origin will remain inside a bounded set. By this condition, the problem of estimating disturbance tolerance capability is formulated as a constrained optimisation problem. Then, the restricted L2-gain property is analysed over the set of tolerable disturbances. An upper bound on the restricted L2-gain is estimated by solving a constrained optimisation problem. Furthermore, when controller gain matrices are design variables, these optimisation problems can be adapted for controller design. All the results are achieved by utilising the multiple Lyapunov functions method and presented in terms of an LMI optimisation-based approach. A numerical example is given to show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 731-740 Issue: 4 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.521597 File-URL: http://hdl.handle.net/10.1080/00207721.2010.521597 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:4:p:731-740 Template-Type: ReDIF-Article 1.0 Author-Name: Xiao Jian Author-X-Name-First: Xiao Author-X-Name-Last: Jian Title: Projective synchronisation of a new chaotic system via small-gain theorem Abstract: On the basis of the small-gain theorem, the projective synchronisation (PS) between two identical new chaotic systems is investigated. Moreover, the general sufficient conditions to achieve PS between the new chaotic system and the Lü chaotic system are obtained via the small-gain theorem. Numerical simulations are performed to verify and illustrate the analytical results. Journal: International Journal of Systems Science Pages: 741-747 Issue: 4 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.521865 File-URL: http://hdl.handle.net/10.1080/00207721.2010.521865 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:4:p:741-747 Template-Type: ReDIF-Article 1.0 Author-Name: P.S. Teh Author-X-Name-First: P.S. Author-X-Name-Last: Teh Author-Name: H. Trinh Author-X-Name-First: H. Author-X-Name-Last: Trinh Title: Partial state and unknown input estimation for time-delay systems Abstract: This article considers the problem of estimating a partial set of the state vector and/or unknown input vector of linear systems driven by unknown inputs and time-varying delay in the state variables. Three types of reduced-order observers, namely, observers with delays, observers without internal delays and delay-free observers are proposed in this article. Existence conditions and design procedures are presented for the determination of parameters for each case of observers. Numerical examples are presented to illustrate the design procedures. Journal: International Journal of Systems Science Pages: 748-763 Issue: 4 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.521866 File-URL: http://hdl.handle.net/10.1080/00207721.2010.521866 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:4:p:748-763 Template-Type: ReDIF-Article 1.0 Author-Name: Ming-Hui Lee Author-X-Name-First: Ming-Hui Author-X-Name-Last: Lee Title: Inverse active vibration force inputs estimation for a beam–machine system Abstract: This study presents an innovative fuzzy estimator that efficiently and robustly estimates the vibratory forces of a beam–machine system. The proposed estimator includes fuzzy Kalman filter technology, which is accelerated by the fuzzy accelerating factor and the fuzzy weighting recursive least-square method, weighted by the fuzzy weighting factor based on the fuzzy logic inference system. The excellent performance of this estimator is demonstrated by comparing it with different weighting functions, distinct levels of noise covariance measurement and the initial process noise covariance. The simulation results show that the proposed method is efficient in estimating input vibration forces, giving this method great stability and precision. Journal: International Journal of Systems Science Pages: 764-775 Issue: 4 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.521867 File-URL: http://hdl.handle.net/10.1080/00207721.2010.521867 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:4:p:764-775 Template-Type: ReDIF-Article 1.0 Author-Name: M. Askari Author-X-Name-First: M. Author-X-Name-Last: Askari Author-Name: A.H.D. Markazi Author-X-Name-First: A.H.D. Author-X-Name-Last: Markazi Title: A new evolving compact optimised Takagi–Sugeno fuzzy model and its application to nonlinear system identification Abstract: A new encoding scheme is presented for a fuzzy-based nonlinear system identification methodology, using the subtractive clustering and non-dominated sorting genetic algorithm. The proposed method consists of two parts. The first part is related to the selection of most relevant or influencing inputs to the system and the second one is related to the tuning of fuzzy rules and parameters of the membership functions. The main purpose of the proposed scheme is to reduce the complexity and increase the accuracy of the model. In particular, three objectives are considered in the process of optimisation, namely, the number of inputs, number of rules and the root mean square of the modelling error. The performance of the developed method is validated by identifying the Box–Jenkins nonlinear benchmark system, and to the modelling of the forward and inverse dynamic behaviours of a magneto-rheological (MR) damper. The latter is also a challenging problem due to the inherent hysteretic and highly nonlinear dynamics of the MR damper. It is shown that the developed evolving Takagi–Sugeno (T–S) fuzzy model can identify and grasp the nonlinear dynamics of both systems very well, while a small number of inputs and fuzzy rules are required for this purpose. Journal: International Journal of Systems Science Pages: 776-785 Issue: 4 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.523798 File-URL: http://hdl.handle.net/10.1080/00207721.2010.523798 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:4:p:776-785 Template-Type: ReDIF-Article 1.0 Author-Name: Mouquan Shen Author-X-Name-First: Mouquan Author-X-Name-Last: Shen Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: state feedback controller design for continuous Markov jump linear systems with partly known information Abstract: This article addresses the H2 control problem for continuous Markov jump linear systems with partly known information. The considered partly known transition probabilities cover the cases where the transition probabilities are exactly known, unknown and unknown but with known bounds. By decoupling the unknown transition probabilities from the Lyapunov matrices, new sufficient conditions for the H2 performance analysis of the considered systems are derived in terms of linear matrix inequalities (LMIs). Based on the result, an LMI-based method for designing H2 controllers is given. Two numerical examples are presented to illustrate the effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 786-796 Issue: 4 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.523799 File-URL: http://hdl.handle.net/10.1080/00207721.2010.523799 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:4:p:786-796 Template-Type: ReDIF-Article 1.0 Author-Name: Yuan-Ming Liu Author-X-Name-First: Yuan-Ming Author-X-Name-Last: Liu Author-Name: I-Kong Fong Author-X-Name-First: I-Kong Author-X-Name-Last: Fong Title: On the controllability and observability of discrete-time linear time-delay systems Abstract: This article studies the controllability and observability of discrete-time linear time-delay systems, so that the two properties can play a more fundamental role in system analysis before controller and observer design is engaged. Complete definitions of controllability and observability, which imply the stabilisability and detectability, respectively, and determine the feasibility of eigenvalue assignment, are proposed for systems with delays in both state variables and input/output signals. Necessary and sufficient criteria are developed to check the controllability and observability efficiently. The proofs are based on the equivalent expanded system, but the criteria only involve the delays and matrices of the same dimension as the original system. Finally, the duality between the suggested controllability and observability is presented. Journal: International Journal of Systems Science Pages: 610-621 Issue: 4 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2010.543490 File-URL: http://hdl.handle.net/10.1080/00207721.2010.543490 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:4:p:610-621 Template-Type: ReDIF-Article 1.0 Author-Name: Kemal Polat Author-X-Name-First: Kemal Author-X-Name-Last: Polat Title: Classification of Parkinson's disease using feature weighting method on the basis of fuzzy C-means clustering Abstract: This study presents the application of fuzzy c-means (FCM) clustering-based feature weighting (FCMFW) for the detection of Parkinson's disease (PD). In the classification of PD dataset taken from University of California – Irvine machine learning database, practical values of the existing traditional and non-standard measures for distinguishing healthy people from people with PD by detecting dysphonia were applied to the input of FCMFW. The main aims of FCM clustering algorithm are both to transform from a linearly non-separable dataset to a linearly separable one and to increase the distinguishing performance between classes. The weighted PD dataset is presented to k-nearest neighbour (k-NN) classifier system. In the classification of PD, the various k-values in k-NN classifier were used and compared with each other. Also, the effects of k-values in k-NN classifier on the classification of Parkinson disease datasets have been investigated and the best k-value found. The experimental results have demonstrated that the combination of the proposed weighting method called FCMFW and k-NN classifier has obtained very promising results on the classification of PD. Journal: International Journal of Systems Science Pages: 597-609 Issue: 4 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.581395 File-URL: http://hdl.handle.net/10.1080/00207721.2011.581395 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:4:p:597-609 Template-Type: ReDIF-Article 1.0 Author-Name: Dan Liu Author-X-Name-First: Dan Author-X-Name-Last: Liu Author-Name: Song Zhu Author-X-Name-First: Song Author-X-Name-Last: Zhu Author-Name: Er Ye Author-X-Name-First: Er Author-X-Name-Last: Ye Title: Global exponential periodicity and stability of memristor-based complex-valued delayed neural networks Abstract: This paper concentrates on the dynamical behaviours of memristor-based complex-valued delayed neural networks. By constructing the appropriate Lyapunov functional and utilising some inequality techniques, sufficient conditions are proposed to guarantee the existence and global exponential stability of the periodic solution of the considered system. The proposed results not only generalise some previously related literatures, but also are easy to be checked with the parameters of system itself. In addition, the theoretical results of this paper may be helpful in qualitative analysis for complex-valued nonlinear delayed systems. A numerical example is given to demonstrate the effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 231-245 Issue: 2 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1397809 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1397809 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:2:p:231-245 Template-Type: ReDIF-Article 1.0 Author-Name: Jingliang Sun Author-X-Name-First: Jingliang Author-X-Name-Last: Sun Author-Name: Chunsheng Liu Author-X-Name-First: Chunsheng Author-X-Name-Last: Liu Title: Finite-horizon differential games for missile–target interception system using adaptive dynamic programming with input constraints Abstract: In this paper, the problem of intercepting a manoeuvring target within a fixed final time is posed in a non-linear constrained zero-sum differential game framework. The Nash equilibrium solution is found by solving the finite-horizon constrained differential game problem via adaptive dynamic programming technique. Besides, a suitable non-quadratic functional is utilised to encode the control constraints into a differential game problem. The single critic network with constant weights and time-varying activation functions is constructed to approximate the solution of associated time-varying Hamilton–Jacobi–Isaacs equation online. To properly satisfy the terminal constraint, an additional error term is incorporated in a novel weight-updating law such that the terminal constraint error is also minimised over time. By utilising Lyapunov's direct method, the closed-loop differential game system and the estimation weight error of the critic network are proved to be uniformly ultimately bounded. Finally, the effectiveness of the proposed method is demonstrated by using a simple non-linear system and a non-linear missile–target interception system, assuming first-order dynamics for the interceptor and target. Journal: International Journal of Systems Science Pages: 264-283 Issue: 2 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1401153 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1401153 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:2:p:264-283 Template-Type: ReDIF-Article 1.0 Author-Name: Jianbo Lu Author-X-Name-First: Jianbo Author-X-Name-Last: Lu Author-Name: Yugeng Xi Author-X-Name-First: Yugeng Author-X-Name-Last: Xi Author-Name: Dewei Li Author-X-Name-First: Dewei Author-X-Name-Last: Li Author-Name: Yuli Xu Author-X-Name-First: Yuli Author-X-Name-Last: Xu Author-Name: Zhongxue Gan Author-X-Name-First: Zhongxue Author-X-Name-Last: Gan Title: Model predictive control design for polytopic uncertain systems by synthesising multi-step prediction scenarios Abstract: A common objective of model predictive control (MPC) design is the large initial feasible region, low online computational burden as well as satisfactory control performance of the resulting algorithm. It is well known that interpolation-based MPC can achieve a favourable trade-off among these different aspects. However, the existing results are usually based on fixed prediction scenarios, which inevitably limits the performance of the obtained algorithms. So by replacing the fixed prediction scenarios with the time-varying multi-step prediction scenarios, this paper provides a new insight into improvement of the existing MPC designs. The adopted control law is a combination of predetermined multi-step feedback control laws, based on which two MPC algorithms with guaranteed recursive feasibility and asymptotic stability are presented. The efficacy of the proposed algorithms is illustrated by a numerical example. Journal: International Journal of Systems Science Pages: 344-357 Issue: 2 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1402214 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1402214 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:2:p:344-357 Template-Type: ReDIF-Article 1.0 Author-Name: Limin Wang Author-X-Name-First: Limin Author-X-Name-Last: Wang Author-Name: Yiteng Shen Author-X-Name-First: Yiteng Author-X-Name-Last: Shen Author-Name: Jingxian Yu Author-X-Name-First: Jingxian Author-X-Name-Last: Yu Author-Name: Ping Li Author-X-Name-First: Ping Author-X-Name-Last: Li Author-Name: Ridong Zhang Author-X-Name-First: Ridong Author-X-Name-Last: Zhang Author-Name: Furong Gao Author-X-Name-First: Furong Author-X-Name-Last: Gao Title: Robust iterative learning control for multi-phase batch processes: an average dwell-time method with 2D convergence indexes Abstract: In order to cope with system disturbances in multi-phase batch processes with different dimensions, a hybrid robust control scheme of iterative learning control combined with feedback control is proposed in this paper. First, with a hybrid iterative learning control law designed by introducing the state error, the tracking error and the extended information, the multi-phase batch process is converted into a two-dimensional Fornasini–Marchesini (2D-FM) switched system with different dimensions. Second, a switching signal is designed using the average dwell-time method integrated with the related switching conditions to give sufficient conditions ensuring stable running for the system. Finally, the minimum running time of the subsystems and the control law gains are calculated by solving the linear matrix inequalities. Meanwhile, a compound 2D controller with robust performance is obtained, which includes a robust extended feedback control for ensuring the steady-state tracking error to converge rapidly. The application on an injection molding process displays the effectiveness and superiority of the proposed strategy. Journal: International Journal of Systems Science Pages: 324-343 Issue: 2 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1402215 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1402215 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:2:p:324-343 Template-Type: ReDIF-Article 1.0 Author-Name: Xing Fang Author-X-Name-First: Xing Author-X-Name-Last: Fang Author-Name: Fei Liu Author-X-Name-First: Fei Author-X-Name-Last: Liu Author-Name: Zhiguo Wang Author-X-Name-First: Zhiguo Author-X-Name-Last: Wang Author-Name: Na Dong Author-X-Name-First: Na Author-X-Name-Last: Dong Title: Novel disturbance-observer-based control for systems with high-order mismatched disturbances Abstract: A novel disturbance-observer-based control method is investigated to attenuate the high-order mismatched disturbances. First, a finite-time disturbance observer (FTDO) is proposed to estimate the disturbances as well as the derivatives. By incorporating the outputs of FTDO, the original system is then reconstructed, where the mismatched disturbances are transformed to the matched ones that are compensated by feed-forward algorithm. Moreover, a feedback control law is developed to achieve the stability and tracking performance requirements for the systems. Finally, the proposed composite control method is applied to an unmanned helicopter system. The simulation results demonstrate that the proposed control method exhibits excellent control performance in the presence of high-order matched and mismatched disturbances. Journal: International Journal of Systems Science Pages: 371-382 Issue: 2 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1406172 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1406172 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:2:p:371-382 Template-Type: ReDIF-Article 1.0 Author-Name: Ali Shabani Author-X-Name-First: Ali Author-X-Name-Last: Shabani Author-Name: Saralees Nadarajah Author-X-Name-First: Saralees Author-X-Name-Last: Nadarajah Author-Name: Mojtaba Alizadeh Author-X-Name-First: Mojtaba Author-X-Name-Last: Alizadeh Title: The (α, β)-cut control charts for process average based on the generalised intuitionistic fuzzy number Abstract: Intuitionistic fuzzy set is very useful in providing a flexible model to elaborate uncertainty and vagueness involved in decision-making. In this paper, we introduce the generalised trapezoidal intuitionistic fuzzy number (denoted by GtrIFNB) and then construct the (α, β)-cut X‾˜-R˜$\widetilde{\overline{X}} - \widetilde{R}$ and X‾˜-S˜$\widetilde{\overline{X}} - \widetilde{S}$ control charts for GTrIFNB. We also present fuzzy decisions for in-control and out-of-control of the process, in which membership and non-membership degrees of in-control and out-of-control states of the process mean are computed. We also compare X‾$\overline{X}$ control charts with the constructed control chart by bootstrapping for generalised intuitionistic fuzzy numbers. Finally, a real data application and a numerical example are given, showing flexibility and potentiality of the proposed method. Journal: International Journal of Systems Science Pages: 392-406 Issue: 2 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1406550 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1406550 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:2:p:392-406 Template-Type: ReDIF-Article 1.0 Author-Name: Di Yu Author-X-Name-First: Di Author-X-Name-Last: Yu Author-Name: Xiang Yang Ji Author-X-Name-First: Xiang Yang Author-X-Name-Last: Ji Title: Finite-time containment control of perturbed multi-agent systems based on sliding-mode control Abstract: Aimed at faster convergence rate, this paper investigates finite-time containment control problem for second-order multi-agent systems with norm-bounded non-linear perturbation. When topology between the followers are strongly connected, the nonsingular fast terminal sliding-mode error is defined, corresponding discontinuous control protocol is designed and the appropriate value range of control parameter is obtained by applying finite-time stability analysis, so that the followers converge to and move along the desired trajectories within the convex hull formed by the leaders in finite time. Furthermore, on the basis of the sliding-mode error defined, the corresponding distributed continuous control protocols are investigated with fast exponential reaching law and double exponential reaching law, so as to make the followers move to the small neighbourhoods of their desired locations and keep within the dynamic convex hull formed by the leaders in finite time to achieve practical finite-time containment control. Meanwhile, we develop the faster control scheme according to comparison of the convergence rate of these two different reaching laws. Simulation examples are given to verify the correctness of theoretical results. Journal: International Journal of Systems Science Pages: 299-311 Issue: 2 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1406553 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1406553 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:2:p:299-311 Template-Type: ReDIF-Article 1.0 Author-Name: Dawei Wang Author-X-Name-First: Dawei Author-X-Name-Last: Wang Author-Name: Ridong Zhang Author-X-Name-First: Ridong Author-X-Name-Last: Zhang Title: Design of distributed PID-type dynamic matrix controller for fractional-order systems Abstract: With the continuous requirements for product quality and safety operation in industrial production, it is difficult to describe the complex large-scale processes with integer-order differential equations. However, the fractional differential equations may precisely represent the intrinsic characteristics of such systems. In this paper, a distributed PID-type dynamic matrix control method based on fractional-order systems is proposed. First, the high-order approximate model of integer order is obtained by utilising the Oustaloup method. Then, the step response model vectors of the plant is obtained on the basis of the high-order model, and the online optimisation for multivariable processes is transformed into the optimisation of each small-scale subsystem that is regarded as a sub-plant controlled in the distributed framework. Furthermore, the PID operator is introduced into the performance index of each subsystem and the fractional-order PID-type dynamic matrix controller is designed based on Nash optimisation strategy. The information exchange among the subsystems is realised through the distributed control structure so as to complete the optimisation task of the whole large-scale system. Finally, the control performance of the designed controller in this paper is verified by an example. Journal: International Journal of Systems Science Pages: 435-448 Issue: 2 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1406554 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1406554 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:2:p:435-448 Template-Type: ReDIF-Article 1.0 Author-Name: Bingsheng Liu Author-X-Name-First: Bingsheng Author-X-Name-Last: Liu Author-Name: Meiqing Fu Author-X-Name-First: Meiqing Author-X-Name-Last: Fu Author-Name: Shuibo Zhang Author-X-Name-First: Shuibo Author-X-Name-Last: Zhang Author-Name: Bin Xue Author-X-Name-First: Bin Author-X-Name-Last: Xue Author-Name: Qi Zhou Author-X-Name-First: Qi Author-X-Name-Last: Zhou Author-Name: Shiruo Zhang Author-X-Name-First: Shiruo Author-X-Name-Last: Zhang Title: An interval-valued 2-tuple linguistic group decision-making model based on the Choquet integral operator Abstract: The Choquet integral (IL) operator is an effective approach for handling interdependence among decision attributes in complex decision-making problems. However, the fuzzy measures of attributes and attribute sets required by IL are difficult to achieve directly, which limits the application of IL. This paper proposes a new method for determining fuzzy measures of attributes by extending Marichal's concept of entropy for fuzzy measure. To well represent the assessment information, interval-valued 2-tuple linguistic context is utilised to represent information. Then, we propose a Choquet integral operator in an interval-valued 2-tuple linguistic environment, which can effectively handle the correlation between attributes. In addition, we apply these methods to solve multi-attribute group decision-making problems. The feasibility and validity of the proposed operator is demonstrated by comparisons with other models in illustrative example part. Journal: International Journal of Systems Science Pages: 407-424 Issue: 2 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1407007 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1407007 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:2:p:407-424 Template-Type: ReDIF-Article 1.0 Author-Name: L. L. Li Author-X-Name-First: L. L. Author-X-Name-Last: Li Author-Name: C. L. Jin Author-X-Name-First: C. L. Author-X-Name-Last: Jin Author-Name: X. Ge Author-X-Name-First: X. Author-X-Name-Last: Ge Title: Output regulation control for switched stochastic delay systems with dissipative property under error-dependent switching Abstract: In this paper, the output regulation problem with dissipative property for a class of switched stochastic delay systems is investigated, based on an error-dependent switching law. Under the assumption that none subsystem is solvable for the problem, a sufficient condition is derived by structuring multiple Lyapunov–Krasovskii functionals with respect to multiple supply rates, via designing error feedback regulators. The condition is also established when dissipative property reduces to passive property. Finally, two numerical examples are given to demonstrate the feasibility and efficiency of the present method. Journal: International Journal of Systems Science Pages: 383-391 Issue: 2 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1407008 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1407008 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:2:p:383-391 Template-Type: ReDIF-Article 1.0 Author-Name: Ying Zhang Author-X-Name-First: Ying Author-X-Name-Last: Zhang Author-Name: Ai-Guo Wu Author-X-Name-First: Ai-Guo Author-X-Name-Last: Wu Author-Name: Hui-Jie Sun Author-X-Name-First: Hui-Jie Author-X-Name-Last: Sun Title: An implicit iterative algorithm with a tuning parameter for Itô Lyapunov matrix equations Abstract: In this paper, an implicit iterative algorithm is proposed for solving a class of Lyapunov matrix equations arising in Itô stochastic linear systems. A tuning parameter is introduced in this algorithm, and thus the convergence rate of the algorithm can be changed. Some conditions are presented such that the developed algorithm is convergent. In addition, an explicit expression is also derived for the optimal tuning parameter, which guarantees that the obtained algorithm achieves its fastest convergence rate. Finally, numerical examples are employed to illustrate the effectiveness of the given algorithm. Journal: International Journal of Systems Science Pages: 425-434 Issue: 2 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1407009 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1407009 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:2:p:425-434 Template-Type: ReDIF-Article 1.0 Author-Name: Yaping Xia Author-X-Name-First: Yaping Author-X-Name-Last: Xia Author-Name: Minghui Yin Author-X-Name-First: Minghui Author-X-Name-Last: Yin Author-Name: Yun Zou Author-X-Name-First: Yun Author-X-Name-Last: Zou Title: Implications of the degree of controllability of controlled plants in the sense of LQR optimal control Abstract: In this paper, the relationship between the degree of controllability (DOC) of controlled plants and the corresponding quadratic optimal performance index in LQR control is investigated for the electro-hydraulic synchronising servo control systems and wind turbine systems, respectively. It is shown that for these two types of systems, the higher the DOC of a controlled plant is, the better the quadratic optimal performance index is. It implies that in some LQR controller designs, the measure of the DOC of a controlled plant can be used as an index for the optimisation of adjustable plant parameters, by which the plant can be controlled more effectively. Journal: International Journal of Systems Science Pages: 358-370 Issue: 2 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1408869 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1408869 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:2:p:358-370 Template-Type: ReDIF-Article 1.0 Author-Name: Shivendra N. Tiwari Author-X-Name-First: Shivendra N. Author-X-Name-Last: Tiwari Author-Name: Radhakant Padhi Author-X-Name-First: Radhakant Author-X-Name-Last: Padhi Title: Optimal and robust control of a class of nonlinear systems using dynamically re-optimised single network adaptive critic design Abstract: Following the philosophy of adaptive optimal control, a neural network-based state feedback optimal control synthesis approach is presented in this paper. First, accounting for a nominal system model, a single network adaptive critic (SNAC) based multi-layered neural network (called as NN1) is synthesised offline. However, another linear-in-weight neural network (called as NN2) is trained online and augmented to NN1 in such a manner that their combined output represent the desired optimal costate for the actual plant. To do this, the nominal model needs to be updated online to adapt to the actual plant, which is done by synthesising yet another linear-in-weight neural network (called as NN3) online. Training of NN3 is done by utilising the error information between the nominal and actual states and carrying out the necessary Lyapunov stability analysis using a Sobolev norm based Lyapunov function. This helps in training NN2 successfully to capture the required optimal relationship. The overall architecture is named as ‘Dynamically Re-optimised single network adaptive critic (DR-SNAC)’. Numerical results for two motivating illustrative problems are presented, including comparison studies with closed form solution for one problem, which clearly demonstrate the effectiveness and benefit of the proposed approach. Journal: International Journal of Systems Science Pages: 246-263 Issue: 2 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1408871 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1408871 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:2:p:246-263 Template-Type: ReDIF-Article 1.0 Author-Name: Peng-fei Yang Author-X-Name-First: Peng-fei Author-X-Name-Last: Yang Author-Name: Yang-wang Fang Author-X-Name-First: Yang-wang Author-X-Name-Last: Fang Author-Name: You-li Wu Author-X-Name-First: You-li Author-X-Name-Last: Wu Author-Name: Dan-xu Zhang Author-X-Name-First: Dan-xu Author-X-Name-Last: Zhang Author-Name: Yang Xu Author-X-Name-First: Yang Author-X-Name-Last: Xu Title: Fast smooth second-order sliding mode control for stochastic systems with enumerable coloured noises Abstract: A fast smooth second-order sliding mode control is presented for a class of stochastic systems driven by enumerable Ornstein–Uhlenbeck coloured noises with time-varying coefficients. Instead of treating the noise as bounded disturbance, the stochastic control techniques are incorporated into the design of the control. The finite-time mean-square practical stability and finite-time mean-square practical reachability are first introduced. Then the prescribed sliding variable dynamic is presented. The sufficient condition guaranteeing its finite-time convergence is given and proved using stochastic Lyapunov-like techniques. The proposed sliding mode controller is applied to a second-order nonlinear stochastic system. Simulation results are given comparing with smooth second-order sliding mode control to validate the analysis. Journal: International Journal of Systems Science Pages: 312-323 Issue: 2 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1410249 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1410249 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:2:p:312-323 Template-Type: ReDIF-Article 1.0 Author-Name: Mohammad Hadi Rezaei Author-X-Name-First: Mohammad Hadi Author-X-Name-Last: Rezaei Author-Name: Mohammad Bagher Menhaj Author-X-Name-First: Mohammad Bagher Author-X-Name-Last: Menhaj Title: Stationary average consensus protocol for a class of heterogeneous high-order multi-agent systems with application for aircraft Abstract: This paper investigates the stationary average consensus problem for a class of heterogeneous-order multi-agent systems. The goal is to bring the positions of agents to the average of their initial positions while letting the other states converge to zero. To this end, three different consensus protocols are proposed. First, based on the auxiliary variables information among the agents under switching directed networks and state-feedback control, a protocol is proposed whereby all the agents achieve stationary average consensus. In the second and third protocols, by resorting to only measurements of relative positions of neighbouring agents under fixed balanced directed networks, two control frameworks are presented with two strategies based on state-feedback and output-feedback control. Finally, simulation results are given to illustrate the effectiveness of the proposed protocols. Journal: International Journal of Systems Science Pages: 284-298 Issue: 2 Volume: 49 Year: 2018 Month: 1 X-DOI: 10.1080/00207721.2017.1410250 File-URL: http://hdl.handle.net/10.1080/00207721.2017.1410250 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:2:p:284-298 Template-Type: ReDIF-Article 1.0 Author-Name: Chih-Hsiung Wang Author-X-Name-First: Chih-Hsiung Author-X-Name-Last: Wang Author-Name: W.C. Tsai Author-X-Name-First: W.C. Author-X-Name-Last: Tsai Title: Determining the production lot size with a heuristic inspection policy for controlling the quality of input materials and products Abstract: This study simultaneously determines the optimal production lot size and an inspection policy for input materials and products, where an unreliable process produces products with a discrete general shift distribution. This work proposes a heuristic inspection policy for materials and products, by first obtaining the inspection range for the input material without considering product inspection, and by further determining the product inspection range based on the obtained range of the input material inspection. The optimal inspection policy shows that common policies of no or full inspection are never optimal. This study includes the optimal production lot size based on the obtained inspection policy. Numerical examples demonstrate the impacts of input quality level, process reliability and unit nonconforming cost on the optimal solution, which adopts a discrete Weibull shift distribution to model the process failure time. Finally, this study addresses the conclusions. Journal: International Journal of Systems Science Pages: 2030-2039 Issue: 11 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.563872 File-URL: http://hdl.handle.net/10.1080/00207721.2011.563872 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:11:p:2030-2039 Template-Type: ReDIF-Article 1.0 Author-Name: El-Houssaine Aghezzaf Author-X-Name-First: El-Houssaine Author-X-Name-Last: Aghezzaf Author-Name: Yiqing Zhong Author-X-Name-First: Yiqing Author-X-Name-Last: Zhong Author-Name: Birger Raa Author-X-Name-First: Birger Author-X-Name-Last: Raa Author-Name: Manel Mateo Author-X-Name-First: Manel Author-X-Name-Last: Mateo Title: Analysis of the single-vehicle cyclic inventory routing problem Abstract: The single-vehicle cyclic inventory routing problem (SV-CIRP) consists of a repetitive distribution of a product from a single depot to a selected subset of customers. For each customer, selected for replenishments, the supplier collects a corresponding fixed reward. The objective is to determine the subset of customers to replenish, the quantity of the product to be delivered to each and to design the vehicle route so that the resulting profit (difference between the total reward and the total logistical cost) is maximised while preventing stockouts at each of the selected customers. This problem appears often as a sub-problem in many logistical problems. In this article, the SV-CIRP is formulated as a mixed-integer program with a nonlinear objective function. After a thorough analysis of the structure of the problem and its features, an exact algorithm for its solution is proposed. This exact algorithm requires only solutions of linear mixed-integer programs. Values of a savings-based heuristic for this problem are compared to the optimal values obtained for a set of some test problems. In general, the gap may get as large as 25%, which justifies the effort to continue exploring and developing exact and approximation algorithms for the SV-CIRP. Journal: International Journal of Systems Science Pages: 2040-2049 Issue: 11 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.564321 File-URL: http://hdl.handle.net/10.1080/00207721.2011.564321 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:11:p:2040-2049 Template-Type: ReDIF-Article 1.0 Author-Name: Jinn-Tsair Teng Author-X-Name-First: Jinn-Tsair Author-X-Name-Last: Teng Author-Name: Chun-Tao Chang Author-X-Name-First: Chun-Tao Author-X-Name-Last: Chang Author-Name: Maw-Sheng Chern Author-X-Name-First: Maw-Sheng Author-X-Name-Last: Chern Title: Vendor–buyer inventory models with trade credit financing under both non-cooperative and integrated environments Abstract: Most researchers studied vendor–buyer supply chain inventory policies only from the perspective of an integrated model, which provides us the best cooperative solution. However, in reality, not many vendors and buyers are wholly integrated. Hence, it is necessary to study the optimal policies not only under an integrated environment but also under a non-cooperative environment. In this article, we develop a supply chain vendor–buyer inventory model with trade credit financing linked to order quantity. We then study the optimal policies for both the vendor and the buyer under a non-cooperative environment first, and then under a cooperative integrated situation. Further, we provide some numerical examples to illustrate the theoretical results, compare the differences between these two distinct solutions, and obtain some managerial insights. For example, in a cooperative environment, to reduce the total cost for both parties, the vendor should either provide a simple permissible delay without order quantity restriction or offer a long permissible delay linked order quantity. By contrast, in a non-cooperative environment, the vendor should provide a short permissible delay to reduce its total cost. Journal: International Journal of Systems Science Pages: 2050-2061 Issue: 11 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.564322 File-URL: http://hdl.handle.net/10.1080/00207721.2011.564322 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:11:p:2050-2061 Template-Type: ReDIF-Article 1.0 Author-Name: Dongya Zhao Author-X-Name-First: Dongya Author-X-Name-Last: Zhao Author-Name: Tao Zou Author-X-Name-First: Tao Author-X-Name-Last: Zou Title: A finite-time approach to formation control of multiple mobile robots with terminal sliding mode Abstract: In this study, a new finite-time synchronised approach is developed for multiple mobile robots formation control based on terminal sliding mode control principle and system synchronisation theory. Associated stability analysis is presented to lay a foundation for analytical understanding in generic theoretical aspects and safe operation for real systems. An illustrative example of multiple mobile robots formation control is bench tested to validate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 1998-2014 Issue: 11 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.564323 File-URL: http://hdl.handle.net/10.1080/00207721.2011.564323 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:11:p:1998-2014 Template-Type: ReDIF-Article 1.0 Author-Name: Deyuan Meng Author-X-Name-First: Deyuan Author-X-Name-Last: Meng Author-Name: Yingmin Jia Author-X-Name-First: Yingmin Author-X-Name-Last: Jia Author-Name: Junping Du Author-X-Name-First: Junping Author-X-Name-Last: Du Author-Name: Fashan Yu Author-X-Name-First: Fashan Author-X-Name-Last: Yu Title: Monotonically convergent ILC systems designed using bounded real lemma Abstract: This article is devoted to iterative learning control (ILC) systems design for multiple-input multiple-output (MIMO), linear time-invariant (LTI) plants. With the bounded real lemma (BRL) applied, a linear matrix inequality (LMI) design approach is presented to develop sufficient conditions for the monotonic convergence of the ILC process. It is shown that regardless of a system relative degree, the convergence conditions can be expressed in terms of LMIs, and formulas can be derived for the learning gain matrices design. For ILC determined in this way, two illustrative examples are provided to verify its effectiveness and robustness against structured and polytopic-type uncertainties. Journal: International Journal of Systems Science Pages: 2062-2071 Issue: 11 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.564324 File-URL: http://hdl.handle.net/10.1080/00207721.2011.564324 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:11:p:2062-2071 Template-Type: ReDIF-Article 1.0 Author-Name: Xiushan Cai Author-X-Name-First: Xiushan Author-X-Name-Last: Cai Author-Name: Jun Huang Author-X-Name-First: Jun Author-X-Name-Last: Huang Author-Name: Qiyue Xie Author-X-Name-First: Qiyue Author-X-Name-Last: Xie Title: Output tracking and disturbance rejection of linear differential inclusion systems Abstract: The globally tracking problem of linear differential inclusion systems with disturbances is studied in this article. By using the Hamilton–Caylay Theorem, an operator is constructed such that tracking problem is converted into a standard stabilisation problem. A control law is designed such that the output signal of the closed-loop system tracks some reference signal and rejects the disturbances. A second-order LDI system is used to illustrate the effectiveness of the proposed design technique. Journal: International Journal of Systems Science Pages: 2072-2078 Issue: 11 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.564325 File-URL: http://hdl.handle.net/10.1080/00207721.2011.564325 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:11:p:2072-2078 Template-Type: ReDIF-Article 1.0 Author-Name: Gregor Gregorčič Author-X-Name-First: Gregor Author-X-Name-Last: Gregorčič Author-Name: Gordon Lightbody Author-X-Name-First: Gordon Author-X-Name-Last: Lightbody Title: Gaussian process internal model control Abstract: Nonlinear modelling approaches such as neural networks, fuzzy models and multiple model networks have been proposed for model based control, to improve the poor transient response of adaptive control techniques. The quality of control is known to be strongly related to the accuracy of the model which represents the process. A Bayesian Gaussian process (GP) approach provides an analytic prediction of the model uncertainty, which makes the GP model an ideal candidate for model based control strategies. This article extends the use of the GP model for nonlinear internal model control. The invertibility of the GP model is discussed and the use of predicted variance is illustrated on a simulated example. Journal: International Journal of Systems Science Pages: 2079-2094 Issue: 11 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.564326 File-URL: http://hdl.handle.net/10.1080/00207721.2011.564326 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:11:p:2079-2094 Template-Type: ReDIF-Article 1.0 Author-Name: Zheng-Guang Wu Author-X-Name-First: Zheng-Guang Author-X-Name-Last: Wu Author-Name: Peng Shi Author-X-Name-First: Peng Author-X-Name-Last: Shi Author-Name: Hongye Su Author-X-Name-First: Hongye Author-X-Name-Last: Su Author-Name: Jian Chu Author-X-Name-First: Jian Author-X-Name-Last: Chu Title: Delay-dependent stability analysis for discrete-time singular Markovian jump systems with time-varying delay Abstract: This article considers the problem of delay-dependent stability analysis for a class of discrete-time singular systems with Markovian jump and time-varying delay. The transition probabilities in Markov chain are assumed to be partially unknown. In terms of linear matrix inequality approach, the delay-dependent criteria are proposed to ensure the underlying system to be regular, causal and stochastically stable. Several numerical examples are given to demonstrate the effectiveness and less conservatism of the obtained results. Journal: International Journal of Systems Science Pages: 2095-2106 Issue: 11 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.564327 File-URL: http://hdl.handle.net/10.1080/00207721.2011.564327 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:11:p:2095-2106 Template-Type: ReDIF-Article 1.0 Author-Name: X. Hong Author-X-Name-First: X. Author-X-Name-Last: Hong Author-Name: S. Chen Author-X-Name-First: S. Author-X-Name-Last: Chen Author-Name: C.J. Harris Author-X-Name-First: C.J. Author-X-Name-Last: Harris Title: Using zero-norm constraint for sparse probability density function estimation Abstract: A new sparse kernel probability density function (pdf) estimator based on zero-norm constraint is constructed using the classical Parzen window (PW) estimate as the target function. The so-called zero-norm of the parameters is used in order to achieve enhanced model sparsity, and it is suggested to minimize an approximate function of the zero-norm. It is shown that under certain condition, the kernel weights of the proposed pdf estimator based on the zero-norm approximation can be updated using the multiplicative nonnegative quadratic programming algorithm. Numerical examples are employed to demonstrate the efficacy of the proposed approach. Journal: International Journal of Systems Science Pages: 2107-2113 Issue: 11 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.564673 File-URL: http://hdl.handle.net/10.1080/00207721.2011.564673 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:11:p:2107-2113 Template-Type: ReDIF-Article 1.0 Author-Name: Hsin-Hung Wu Author-X-Name-First: Hsin-Hung Author-X-Name-Last: Wu Author-Name: Ya-Ning Tsai Author-X-Name-First: Ya-Ning Author-X-Name-Last: Tsai Title: An integrated approach of AHP and DEMATEL methods in evaluating the criteria of auto spare parts industry Abstract: This study uses both analytic hierarchy process (AHP) and decision-making trial and evaluation laboratory (DEMATEL) methods to evaluate the criteria in auto spare parts industry in Taiwan. Traditionally, AHP does not consider indirect effects for each criterion and assumes that criteria are independent without further addressing the interdependence between or among the criteria. Thus, the importance computed by AHP can be viewed as short-term improvement opportunity. On the contrary, DEMATEL method not only evaluates the importance of criteria but also depicts the causal relations of criteria. By observing the causal diagrams, the improvement based on cause-oriented criteria might improve the performance effectively and efficiently for the long-term perspective. As a result, the major advantage of integrating AHP and DEMATEL methods is that the decision maker can continuously improve suppliers’ performance from both short-term and long-term viewpoints. Journal: International Journal of Systems Science Pages: 2114-2124 Issue: 11 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.564674 File-URL: http://hdl.handle.net/10.1080/00207721.2011.564674 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:11:p:2114-2124 Template-Type: ReDIF-Article 1.0 Author-Name: Zhengquan Yang Author-X-Name-First: Zhengquan Author-X-Name-Last: Yang Author-Name: Qing Zhang Author-X-Name-First: Qing Author-X-Name-Last: Zhang Author-Name: Zuolian Jiang Author-X-Name-First: Zuolian Author-X-Name-Last: Jiang Author-Name: Zengqiang Chen Author-X-Name-First: Zengqiang Author-X-Name-Last: Chen Title: Flocking of multi-agents with time delay Abstract: This article consider the flocking of multi-agents with time delay. Both leader free and virtual leader available are considered. For leader free, a set of control laws is proposed, and it is proved that the agent velocities become the same asymptotically, and avoidance of collisions between the agents is ensured. For virtual leader available, a set of control laws that relies on the state information and the external signal is proposed. With the control laws all agents can follow the virtual leader. Journal: International Journal of Systems Science Pages: 2125-2134 Issue: 11 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.564675 File-URL: http://hdl.handle.net/10.1080/00207721.2011.564675 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:11:p:2125-2134 Template-Type: ReDIF-Article 1.0 Author-Name: Peng Sheng You Author-X-Name-First: Peng Sheng Author-X-Name-Last: You Author-Name: Yi-Chih Hsieh Author-X-Name-First: Yi-Chih Author-X-Name-Last: Hsieh Author-Name: Seizo Ikuta Author-X-Name-First: Seizo Author-X-Name-Last: Ikuta Title: A heuristic to bandwidth allocation and sales limit setting for Internet service providers Abstract: When requesting on-line, many subscribers have experienced the situation in which their on-line requests are denied or their connection speeds are far below their contracted speed limits. This bad customer experience may result from the situation in which Internet service providers (ISPs) accept customers' subscriptions without setting sales limits. As subscribers are potential on-line users, controlling the number of subscribers can be considered as an approach to overcome this problem. The goal of this article is to develop decisions to maximise revenues of ISPs while guaranteeing the expected service quality for distinct service classes. The developed model was a resource constrained nonlinear integer problem, and a heuristic approach was provided to acquire a near-optimal solution. Limited numerical results showed that the proposed heuristic approach can solve this problem efficiently. Journal: International Journal of Systems Science Pages: 2135-2143 Issue: 11 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.565132 File-URL: http://hdl.handle.net/10.1080/00207721.2011.565132 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:11:p:2135-2143 Template-Type: ReDIF-Article 1.0 Author-Name: Ghi-Feng Yen Author-X-Name-First: Ghi-Feng Author-X-Name-Last: Yen Author-Name: Kun-Jen Chung Author-X-Name-First: Kun-Jen Author-X-Name-Last: Chung Author-Name: Tzung-Ching Chen Author-X-Name-First: Tzung-Ching Author-X-Name-Last: Chen Title: The optimal retailer's ordering policies with trade credit financing and limited storage capacity in the supply chain system Abstract: The traditional economic order quantity model assumes that the retailer's storage capacity is unlimited. However, as we all know, the capacity of any warehouse is limited. In practice, there usually exist various factors that induce the decision-maker of the inventory system to order more items than can be held in his/her own warehouse. Therefore, for the decision-maker, it is very practical to determine whether or not to rent other warehouses. In this article, we try to incorporate two levels of trade credit and two separate warehouses (own warehouse and rented warehouse) to establish a new inventory model to help the decision-maker to make the decision. Four theorems are provided to determine the optimal cycle time to generalise some existing articles. Finally, the sensitivity analysis is executed to investigate the effects of the various parameters on ordering policies and annual costs of the inventory system. Journal: International Journal of Systems Science Pages: 2144-2159 Issue: 11 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.565133 File-URL: http://hdl.handle.net/10.1080/00207721.2011.565133 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:11:p:2144-2159 Template-Type: ReDIF-Article 1.0 Author-Name: V. Pando Author-X-Name-First: V. Author-X-Name-Last: Pando Author-Name: J. García-Laguna Author-X-Name-First: J. Author-X-Name-Last: García-Laguna Author-Name: L.A. San-José Author-X-Name-First: L.A. Author-X-Name-Last: San-José Title: Optimal policy for profit maximising in an EOQ model under non-linear holding cost and stock-dependent demand rate Abstract: In this article, we integrate a non-linear holding cost with a stock-dependent demand rate in a maximising profit per unit time model, extending several inventory models studied by other authors. After giving the mathematical formulation of the inventory system, we prove the existence and uniqueness of the optimal policy. Relying on this result, we can obtain the optimal solution using different numerical algorithms. Moreover, we provide a necessary and sufficient condition to determine whether a system is profitable, and we establish a rule to check when a given order quantity is the optimal lot size of the inventory model. The results are illustrated through numerical examples and the sensitivity of the optimal solution with respect to changes in some values of the parameters is assessed. Journal: International Journal of Systems Science Pages: 2160-2171 Issue: 11 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.565134 File-URL: http://hdl.handle.net/10.1080/00207721.2011.565134 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:11:p:2160-2171 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaoe Ruan Author-X-Name-First: Xiaoe Author-X-Name-Last: Ruan Author-Name: Z. Zenn Bien Author-X-Name-First: Z. Zenn Author-X-Name-Last: Bien Title: Pulse compensation for PD-type iterative learning control against initial state shift Abstract: The rectangular pulse function is adopted to incorporate feed-forward compensation for various proportional-derivative-type iterative learning control updating laws applied to a class of linear time-invariant systems with initial state shift. The objective of pulse compensation is to suppress the tracking discrepancy incurred by initial state shift. By means of the generalised Young inequality of the convolution integral, the tracking performance of the pulse-based learning updating laws is analysed and the suppressive effect of the pulse compensation is evaluated by measuring the tracking error in the sense of Lebesgue-p norm. The derivation clarifies that the upper bound of the asymptotical tracking error can be improved by tuning the compensation gain properly though it is determined not only by the proportional and derivative learning gains but also by the system state, input and output matrices as well. Numerical simulations show that pulse compensation can effectively suppress the tracking error caused by initial state shift. Journal: International Journal of Systems Science Pages: 2172-2184 Issue: 11 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2011.569586 File-URL: http://hdl.handle.net/10.1080/00207721.2011.569586 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:11:p:2172-2184 Template-Type: ReDIF-Article 1.0 Author-Name: S.M. Tabatabaeipour Author-X-Name-First: S.M. Author-X-Name-Last: Tabatabaeipour Author-Name: R. Izadi-Zamanabadi Author-X-Name-First: R. Author-X-Name-Last: Izadi-Zamanabadi Author-Name: T. Bak Author-X-Name-First: T. Author-X-Name-Last: Bak Author-Name: A.P. Ravn Author-X-Name-First: A.P. Author-X-Name-Last: Ravn Title: Passive fault-tolerant control of discrete time piecewise affine systems against actuator faults Abstract: In this article, we propose a new method for passive fault-tolerant control of discrete time piecewise affine systems. Actuator faults are considered. A reliable piecewise linear quadratic regulator state feedback is designed such that it can tolerate actuator faults. A sufficient condition for the existence of a passive fault-tolerant controller is derived and formulated as the feasibility of a set of linear matrix inequalities (LMIs). The upper bound on the performance cost can be minimised using a convex optimisation problem with LMI constraints which can be solved efficiently. The approach is illustrated on a numerical example and a two degree of freedom helicopter. Journal: International Journal of Systems Science Pages: 1985-1997 Issue: 11 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2012.670289 File-URL: http://hdl.handle.net/10.1080/00207721.2012.670289 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:11:p:1985-1997 Template-Type: ReDIF-Article 1.0 Author-Name: M.A. Duarte-Mermoud Author-X-Name-First: M.A. Author-X-Name-Last: Duarte-Mermoud Author-Name: R.H. Ordóñez-Hurtado Author-X-Name-First: R.H. Author-X-Name-Last: Ordóñez-Hurtado Author-Name: P. Zagalak Author-X-Name-First: P. Author-X-Name-Last: Zagalak Title: A method for determining the non-existence of a common quadratic Lyapunov function for switched linear systems based on particle swarm optimisation Abstract: The existence of a common quadratic Lyapunov function (CQLF) for a switched linear system guarantees its global asymptotic stability. Even if progress in finding the conditions for the existence/non-existence of a CQLF is significant, especially in switched linear systems consisting of N second-order systems or two systems of order n, the general case of N systems of order n still remains open. In this article, a sufficient condition for the non-existence of a CQLF for N systems of order n is derived. Based on the condition, a new method for determining the non-existence of a CQLF, using particle swarm optimisation, was designed and is described. Examples illustrating the proposed method are introduced at the end of this article. Journal: International Journal of Systems Science Pages: 2015-2029 Issue: 11 Volume: 43 Year: 2012 X-DOI: 10.1080/00207721.2012.687787 File-URL: http://hdl.handle.net/10.1080/00207721.2012.687787 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:43:y:2012:i:11:p:2015-2029 Template-Type: ReDIF-Article 1.0 Author-Name: Yonggang Chen Author-X-Name-First: Yonggang Author-X-Name-Last: Chen Author-Name: Weiping Bi Author-X-Name-First: Weiping Author-X-Name-Last: Bi Author-Name: Wenlin Li Author-X-Name-First: Wenlin Author-X-Name-Last: Li Title: New delay-dependent absolute stability criteria for Lur'e systems with time-varying delay Abstract: In this article, the absolute stability problem is investigated for Lur'e systems with time-varying delay and sector-bounded nonlinearity. By employing the delay fractioning idea, the new augmented Lyapunov functional is first constructed. Then, by introducing some slack matrices and by reserving the useful term when estimating the upper bound of the derivative of Lyapunov functional, the new delay-dependent absolute stability criteria are derived in terms of linear matrix inequalities. Several numerical examples are presented to show the effectiveness and the less conservativeness of the proposed method. Journal: International Journal of Systems Science Pages: 1105-1113 Issue: 7 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903308348 File-URL: http://hdl.handle.net/10.1080/00207720903308348 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:7:p:1105-1113 Template-Type: ReDIF-Article 1.0 Author-Name: Swati Agrawal Author-X-Name-First: Swati Author-X-Name-Last: Agrawal Author-Name: Snigdha Banerjee Author-X-Name-First: Snigdha Author-X-Name-Last: Banerjee Title: Two-warehouse inventory model with ramp-type demand and partially backlogged shortages Abstract: In this article, we consider an inventory model for items that are stored in two-warehouses when demand is a general ramp-type function of time. Shortages are allowed and a constant fraction of shortages is backlogged. The existence and uniqueness of optimal solution is proved for both – the single-warehouse and the two-warehouse models. An algorithm is developed to facilitate the choice between the two-warehouse and the single-warehouse systems and hence to obtain the optimal replenishment policy. Numerical examples are presented. Sensitivity analysis with respect to the parameters of the model is performed. Journal: International Journal of Systems Science Pages: 1115-1126 Issue: 7 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903308363 File-URL: http://hdl.handle.net/10.1080/00207720903308363 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:7:p:1115-1126 Template-Type: ReDIF-Article 1.0 Author-Name: Yongkun Li Author-X-Name-First: Yongkun Author-X-Name-Last: Li Author-Name: Li Yang Author-X-Name-First: Li Author-X-Name-Last: Yang Author-Name: Wanqin Wu Author-X-Name-First: Wanqin Author-X-Name-Last: Wu Title: Anti-periodic solutions for a class of Cohen–Grossberg neural networks with time-varying delays on time scales Abstract: In this article, a class of Cohen–Grossberg neutral networks (CGNNs) with time-varying delays on time scales is considered. We establish some sufficient conditions on the existence and exponential stability of anti-periodic solutions for CGNNs where t ∈ 𝕋, 𝕋 is a periodic time scale, i = 1, 2, …, n. Journal: International Journal of Systems Science Pages: 1127-1132 Issue: 7 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903308371 File-URL: http://hdl.handle.net/10.1080/00207720903308371 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:7:p:1127-1132 Template-Type: ReDIF-Article 1.0 Author-Name: Lixin Tang Author-X-Name-First: Lixin Author-X-Name-Last: Tang Author-Name: Yanyan Zhang Author-X-Name-First: Yanyan Author-X-Name-Last: Zhang Title: A new Lagrangian Relaxation Algorithm for scheduling dissimilar parallel machines with release dates Abstract: In this article we investigate the parallel machine scheduling problem with job release dates, focusing on the case that machines are dissimilar with each other. The goal of scheduling is to find an assignment and sequence for a set of jobs so that the total weighted completion time is minimised. This type of production environment is frequently encountered in process industry, such as chemical and steel industries, where the scheduling of jobs with different purposes is an important goal. This article formulates the problem as an integer linear programming model. Because of the dissimilarity of machines, the ordinary job-based decomposition method is no longer applicable, a novel machine-based Lagrangian relaxation algorithm is therefore proposed. Penalty terms associated with violations of coupling constraints are introduced to the objective function by Lagrangian multipliers, which are updated using subgradient optimisation method. For each machine-level subproblem after decomposition, a forward dynamic programming algorithm is designed together with the weighted shortest processing time rule to provide an optimal solution. A heuristics is developed to obtain a feasible schedule from the solution of subproblems to provide an upper bound. Numerical results show that the new approach is computationally effective to handle the addressed problem and provide high quality schedules. Journal: International Journal of Systems Science Pages: 1133-1141 Issue: 7 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903308389 File-URL: http://hdl.handle.net/10.1080/00207720903308389 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:7:p:1133-1141 Template-Type: ReDIF-Article 1.0 Author-Name: Danyu Bai Author-X-Name-First: Danyu Author-X-Name-Last: Bai Author-Name: Lixin Tang Author-X-Name-First: Lixin Author-X-Name-Last: Tang Title: Performance analysis of rotation schedule and improved strategy for open shop problem to minimise makespan Abstract: This article addresses the open shop scheduling problem with the objective to minimise the maximum completion time, or makespan. Both asymptotical analysis and worst case analysis are conducted for the heuristic, rotation schedule (RS) algorithm. In the asymptotical analysis, we prove that the RS algorithm is asymptotically equal to the optimal solution when the problem size is large enough. In the worst case analysis, we show that the tight worst case performance ratio of RS algorithm is equal to the machine number m. To accelerate the convergence of the RS algorithm for medium size problems, the improved version of the heuristic, the modified RS (MRS) algorithm is presented. At the end of this article, the asymptotical optimality of the RS algorithm and the practical effectiveness of the MRS algorithm are shown by numerical simulations. Journal: International Journal of Systems Science Pages: 1143-1153 Issue: 7 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903308397 File-URL: http://hdl.handle.net/10.1080/00207720903308397 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:7:p:1143-1153 Template-Type: ReDIF-Article 1.0 Author-Name: A.H. Tahoun Author-X-Name-First: A.H. Author-X-Name-Last: Tahoun Author-Name: Hua-Jing Fang Author-X-Name-First: Hua-Jing Author-X-Name-Last: Fang Title: Adaptive stabilisation of networked control systems tolerant to unknown actuator failures Abstract: In this article, adaptive state feedback stabilising controllers for networked adaptive control systems with unknown actuator failures are developed. The problems of networked control systems (NCSs) such as transmission delays and data-packets dropout, induced by the insertion of data networks in the feedback adaptive control loops are also considered. The novelty of this article consists in the combination of different aspects in NCSs: state tracking control of systems with unknown parameters, unknown actuator failures, network-induced delays and data-packets dropout. Normalised adaptive laws are designed for updating the controller parameters. Sufficient conditions for Lyapunov stability are derived in the case of uncertainty due to actuator failures, delays and data-packets dropout. Simulation results are given to illustrate the effectiveness of our design approach. Journal: International Journal of Systems Science Pages: 1155-1164 Issue: 7 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903308975 File-URL: http://hdl.handle.net/10.1080/00207720903308975 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:7:p:1155-1164 Template-Type: ReDIF-Article 1.0 Author-Name: Xiushan Cai Author-X-Name-First: Xiushan Author-X-Name-Last: Cai Author-Name: Zhengzhi Han Author-X-Name-First: Zhengzhi Author-X-Name-Last: Han Author-Name: Wei Zhang Author-X-Name-First: Wei Author-X-Name-Last: Zhang Title: Globally uniformly asymptotical stabilisation of time-delay nonlinear systems Abstract: Globally uniformly asymptotical stabilisation of nonlinear systems in feedback form with a delay arbitrarily large in the input is dealt with based on the backstepping approach in this article. The design strategy depends on the construction of a Lyapunov–Krasovskii functional. A continuously differentiable control law is obtained to globally uniformly asymptotically stabilise the closed-loop system. The simulation shows the effectiveness of the method. Journal: International Journal of Systems Science Pages: 1175-1183 Issue: 7 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903353567 File-URL: http://hdl.handle.net/10.1080/00207720903353567 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:7:p:1175-1183 Template-Type: ReDIF-Article 1.0 Author-Name: J.M. da Silva Author-X-Name-First: J.M. Author-X-Name-Last: da Silva Author-Name: A. Seuret Author-X-Name-First: A. Author-X-Name-Last: Seuret Author-Name: E. Fridman Author-X-Name-First: E. Author-X-Name-Last: Fridman Author-Name: J.P. Richard Author-X-Name-First: J.P. Author-X-Name-Last: Richard Title: Stabilisation of neutral systems with saturating control inputs Abstract: This article focuses on the stabilisation problem of neutral systems in the presence of time-varying delays and control saturation. Based on a descriptor approach and the use of a modified sector relation, global and local stabilisation conditions are derived using Lyapunov–Krasovskii functionals. These conditions, formulated directly as linear matrix inequalities (LMIs), allow one to relate the control law to be computed to a set of admissible initial conditions, for which the asymptotic and exponential stabilities of the closed-loop system are ensured. An extension of these conditions to the particular case of retarded systems is also provided. From the theoretical conditions, optimisation problems with LMI constraints are therefore proposed to compute stabilising state feedback gains with the aim of ensuring stability for a given set of admissible initial conditions or the global stability of the closed-loop system. A numerical example illustrates the application of the proposed results. Journal: International Journal of Systems Science Pages: 1093-1103 Issue: 7 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903353575 File-URL: http://hdl.handle.net/10.1080/00207720903353575 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:7:p:1093-1103 Template-Type: ReDIF-Article 1.0 Author-Name: Chandra Jaggi Author-X-Name-First: Chandra Author-X-Name-Last: Jaggi Author-Name: Aditi Khanna Author-X-Name-First: Aditi Author-X-Name-Last: Khanna Author-Name: Priyanka Verma Author-X-Name-First: Priyanka Author-X-Name-Last: Verma Title: Two-warehouse partial backlogging inventory model for deteriorating items with linear trend in demand under inflationary conditions Abstract: In today's business transactions, there are various reasons, namely, bulk purchase discounts, re-ordering costs, seasonality of products, inflation induced demand, etc., which force the buyer to order more than the warehouse capacity. Such situations call for additional storage space to store the excess units purchased. This additional storage space is typically a rented warehouse. Inflation plays a very interesting and significant role here: It increases the cost of goods. To safeguard from the rising prices, during the inflation regime, the organisation prefers to keep a higher inventory, thereby increasing the aggregate demand. This additional inventory needs additional storage space, which is facilitated by a rented warehouse. Ignoring the effects of the time value of money and inflation might yield misleading results. In this study, a two-warehouse inventory model with linear trend in demand under inflationary conditions having different rates of deterioration has been developed. Shortages at the owned warehouse are also allowed subject to partial backlogging. The solution methodology provided in the model helps to decide on the feasibility of renting a warehouse. Finally, findings have been illustrated with the help of numerical examples. Comprehensive sensitivity analysis has also been provided. Journal: International Journal of Systems Science Pages: 1185-1196 Issue: 7 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903353674 File-URL: http://hdl.handle.net/10.1080/00207720903353674 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:7:p:1185-1196 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaoli Luan Author-X-Name-First: Xiaoli Author-X-Name-Last: Luan Author-Name: Fei Liu Author-X-Name-First: Fei Author-X-Name-Last: Liu Author-Name: Peng Shi Author-X-Name-First: Peng Author-X-Name-Last: Shi Title: Robust finite-time control for a class of extended stochastic switching systems Abstract: This article proposes a new design approach for robust finite-time H∞ control of a class of Markov jump systems with partially known information on the transition jump rates. The system under consideration involves norm-bounded parameter uncertainties and external disturbance. The problems of robust finite-time boundedness and finite-time stabilisation of the underlying systems are considered. Then, a H∞ state feedback controller is designed. Sufficient conditions that consider only the known bounds on the transition jump rates are developed in the form of linear matrix inequalities. A numerical example is included to show the usefulness of the theoretic results obtained. Journal: International Journal of Systems Science Pages: 1197-1205 Issue: 7 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903428898 File-URL: http://hdl.handle.net/10.1080/00207720903428898 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:7:p:1197-1205 Template-Type: ReDIF-Article 1.0 Author-Name: Dongjie Shen Author-X-Name-First: Dongjie Author-X-Name-Last: Shen Author-Name: K.K. Lai Author-X-Name-First: K.K. Author-X-Name-Last: Lai Author-Name: Stephen Leung Author-X-Name-First: Stephen Author-X-Name-Last: Leung Author-Name: Liang Liang Author-X-Name-First: Liang Author-X-Name-Last: Liang Title: Modelling and analysis of inventory replenishment for perishable agricultural products with buyer–seller collaboration Abstract: In this article, we study the inventory replenishment model for perishable agricultural products in a simple two-level supply chain. Collaborative forecasting is introduced into the inventory replenishment decisions to avoid overstocking and understocking of agricultural products, and to maximise profits. We analyse the model with ordering cost, holding cost, shortage cost, deterioration cost and opportunity lost cost of perishable agricultural products. Extensive numerical analysis is carried out to study the performance of the inventory policy. The optimal replenishment policy that minimises the total cost can be obtained from the model. It has demonstrated that the supply chain cost decreases with supplier and retailer's collaborative forecasting. Journal: International Journal of Systems Science Pages: 1207-1217 Issue: 7 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903494643 File-URL: http://hdl.handle.net/10.1080/00207720903494643 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:7:p:1207-1217 Template-Type: ReDIF-Article 1.0 Author-Name: Xiuming Yao Author-X-Name-First: Xiuming Author-X-Name-Last: Yao Author-Name: Ligang Wu Author-X-Name-First: Ligang Author-X-Name-Last: Wu Author-Name: Wei Zheng Author-X-Name-First: Wei Author-X-Name-Last: Zheng Author-Name: Changhong Wang Author-X-Name-First: Changhong Author-X-Name-Last: Wang Title: Robust ℋ filtering of Markovian jump stochastic systems with uncertain transition probabilities Abstract: This article investigates the problem of robust ℋ∞ filtering for a class of uncertain Markovian stochastic systems. The system under consideration not only contains Itô-type stochastic disturbances and time-varying delays, but also involves uncertainties both in the system matrices and in the mode transition rate matrix. Our aim is to design an ℋ∞ filter such that, for all admissible parameter uncertainties and time-delays, the filtering error system can be guaranteed to be robustly stochastically stable, and achieve a prescribed ℋ∞ disturbance rejection attenuation level. By constructing a proper stochastic Lyapunov–Krasovskii functional and employing the free-weighting matrix technique, sufficient conditions for the existence of the desired filters are established in terms of linear matrix inequalities, which can be readily solved by standard numerical software. Finally, a numerical example is provided to show the utility of the developed approaches. Journal: International Journal of Systems Science Pages: 1219-1230 Issue: 7 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903513350 File-URL: http://hdl.handle.net/10.1080/00207720903513350 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:7:p:1219-1230 Template-Type: ReDIF-Article 1.0 Author-Name: Ze Li Author-X-Name-First: Ze Author-X-Name-Last: Li Author-Name: Shengyuan Xu Author-X-Name-First: Shengyuan Author-X-Name-Last: Xu Author-Name: Yun Zou Author-X-Name-First: Yun Author-X-Name-Last: Zou Author-Name: Yuming Chu Author-X-Name-First: Yuming Author-X-Name-Last: Chu Title: Robust filter design of uncertain T-S fuzzy neutral systems with time-varying delays Abstract: This article addresses the problem of robust H∞ filter design of a class of Takagi–Sugeno fuzzy neutral systems with time-varying delays and norm-bounded parameter uncertainties. A fuzzy filter is constructed, which ensures both the robust stability and a prescribed H∞ performance of the filtering error system. A linear matrix inequality approach is developed, and a delay-dependent sufficient condition is obtained. A simulation example is provided to demonstrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 1231-1238 Issue: 7 Volume: 42 Year: 2011 X-DOI: 10.1080/00207720903572414 File-URL: http://hdl.handle.net/10.1080/00207720903572414 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:7:p:1231-1238 Template-Type: ReDIF-Article 1.0 Author-Name: J. Wu Author-X-Name-First: J. Author-X-Name-Last: Wu Author-Name: M. Barahona Author-X-Name-First: M. Author-X-Name-Last: Barahona Author-Name: Y.-J. Tan Author-X-Name-First: Y.-J. Author-X-Name-Last: Tan Author-Name: H.-Z. Deng Author-X-Name-First: H.-Z. Author-X-Name-Last: Deng Title: Robustness of regular ring lattices based on natural connectivity Abstract: It has been recently proposed that natural connectivity can be used to efficiently characterise the robustness of complex networks. The natural connectivity quantifies the redundancy of alternative routes in the network by evaluating the weighted number of closed walks of all lengths and can be seen as an average eigenvalue obtained from the graph spectrum. In this article, we explore both analytically and numerically the natural connectivity of regular ring lattices and regular random graphs obtained through degree-preserving random rewirings from regular ring lattices. We reformulate the natural connectivity of regular ring lattices in terms of generalised Bessel functions and show that the natural connectivity of regular ring lattices is independent of network size and increases with K monotonically. We also show that random regular graphs have lower natural connectivity, and are thus less robust, than regular ring lattices. Journal: International Journal of Systems Science Pages: 1085-1092 Issue: 7 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721003605468 File-URL: http://hdl.handle.net/10.1080/00207721003605468 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:7:p:1085-1092 Template-Type: ReDIF-Article 1.0 Author-Name: Mohamed Chemachema Author-X-Name-First: Mohamed Author-X-Name-Last: Chemachema Author-Name: Khaled Belarbi Author-X-Name-First: Khaled Author-X-Name-Last: Belarbi Title: Direct adaptive neural network controller for a class of nonlinear systems based on fuzzy estimator of the control error Abstract: A new approach of direct adaptive control of single input single output nonlinear systems in affine form using single-hidden layer neural network (NN) is introduced. In contrast to the algorithms in the literature, the weights adaptation laws are based on the control error and not on the tracking error or its filtered version. Since the control error is being expressed in terms of the NN controller, hence its weights updating laws are obtained via back-propagation concept. A fuzzy inference system (FIS) with heuristically defined rules is introduced to provide an estimate of this error based on the past history of the system behaviour. The stability of the closed loop is studied using Lyapunov theory. A fixed structure is then proposed for the FIS and the design parameters reduce to the parameters of the NN. The method is reproducible and does not require any pre-training of the network weights. Journal: International Journal of Systems Science Pages: 1165-1173 Issue: 7 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.560494 File-URL: http://hdl.handle.net/10.1080/00207721.2011.560494 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:7:p:1165-1173 Template-Type: ReDIF-Article 1.0 Author-Name: Y.C. Chang Author-X-Name-First: Y.C. Author-X-Name-Last: Chang Author-Name: W.L. Pearn Author-X-Name-First: W.L. Author-X-Name-Last: Pearn Title: Optimal management for infinite capacity -policy M/G/1 queue with a removable service station Abstract: In this article, we consider an infinite capacity N-policy M/G/1 queueing system with a single removable server. Poisson arrivals and general distribution service times are assumed. The server is controllable that may be turned on at arrival epochs or off at service completion epochs. We apply a differential technique to study system sensitivity, which examines the effect of different system input parameters on the system. A cost model for infinite capacity queueing system under steady-state condition is developed, to determine the optimal management policy at minimum cost. Analytical results for sensitivity analysis are derived. We also provide extensive numerical computations to illustrate the analytical sensitivity properties obtained. Finally, an application example is presented to demonstrate how the model could be used in real applications to obtain the optimal management policy. Journal: International Journal of Systems Science Pages: 1075-1083 Issue: 7 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.570480 File-URL: http://hdl.handle.net/10.1080/00207721.2011.570480 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:7:p:1075-1083 Template-Type: ReDIF-Article 1.0 Author-Name: K.C. Veluvolu Author-X-Name-First: K.C. Author-X-Name-Last: Veluvolu Author-Name: M.Y. Kim Author-X-Name-First: M.Y. Author-X-Name-Last: Kim Author-Name: D. Lee Author-X-Name-First: D. Author-X-Name-Last: Lee Title: Nonlinear sliding mode high-gain observers for fault estimation Abstract: A robust high gain observer for state and unknown inputs/faults estimations for a special class of nonlinear systems is developed in this article. Ensuring the observability of the faults/unknown inputs with respect to the outputs, the faults can be estimated from the sliding surface. Under a Lipschitz condition for the nonlinear part, the high gain observers are designed under some regularity assumptions. In the sliding mode, the convergence of the estimation error dynamics is proven similar to the analysis of high-gain observers. Journal: International Journal of Systems Science Pages: 1065-1074 Issue: 7 Volume: 42 Year: 2011 X-DOI: 10.1080/00207721.2011.573102 File-URL: http://hdl.handle.net/10.1080/00207721.2011.573102 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:42:y:2011:i:7:p:1065-1074 Template-Type: ReDIF-Article 1.0 Author-Name: Kai Wang Author-X-Name-First: Kai Author-X-Name-Last: Wang Author-Name: Changchun Hua Author-X-Name-First: Changchun Author-X-Name-Last: Hua Author-Name: Jiannan Chen Author-X-Name-First: Jiannan Author-X-Name-Last: Chen Author-Name: Manjun Cai Author-X-Name-First: Manjun Author-X-Name-Last: Cai Title: Dual-loop integral sliding mode control for robust trajectory tracking of a quadrotor Abstract: This paper presents a novel control scheme for the trajectory tracking in a quadrotor. First, the kinematics and dynamics models of the quadrotor with uncertainties are developed by Newton–Euler method. For the nonlinear and coupling dynamic, unmodeled uncertainties and external disturbances, an effective linear extended state observer is designed to estimate them. Then, the overall quadrotor system is divided into two subsystems: translational subsystem and rotational subsystem. For the rotational subsystem, the attitude controller is designed with a dual-loop integral sliding mode control method, and the designed controller is able to track the desired attitudes and angular velocities simultaneously. For the translational subsystem, a globally asymptotic stability position controller based on the hyperbolic functions is designed, and the application of hyperbolic functions can provide a bounded and smooth control input. In the end, both simulation and experiment results are provided to verify the effectiveness of the designed control strategy. Journal: International Journal of Systems Science Pages: 203-216 Issue: 2 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1622815 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1622815 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:2:p:203-216 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaofei Zhang Author-X-Name-First: Xiaofei Author-X-Name-Last: Zhang Author-Name: Hongbin Ma Author-X-Name-First: Hongbin Author-X-Name-Last: Ma Author-Name: Man Luo Author-X-Name-First: Man Author-X-Name-Last: Luo Author-Name: Xiaomeng Liu Author-X-Name-First: Xiaomeng Author-X-Name-Last: Liu Title: Adaptive sliding mode control with information concentration estimator for a robot arm Abstract: There are nonlinear disturbances in actual systems, and all kinds of nonlinear disturbances may make the performances of actual systems become worse, besides, sometimes it is difficult to obtain a simplified model of the actual system owing to complex production technologies and processes. The existence of both two kinds of uncertainties makes it difficult to directly apply traditional recursive identification methods based on parametric systems. In this paper, first, an improved information concentration (IC) estimator is introduced for estimating unknown parameters of parametric uncertainty part by using historical data, and an adaptive sliding mode controller based on the proposed IC estimator is investigated for the speed control system of a robot arm. Second, the stability of adaptive sliding mode control based on the proposed IC estimator for the speed control system of a robot arm is analysed. Finally, two simulation examples are carried out. The experimental results indicate that the proposed IC estimator is effective in estimating unknown parameters. Journal: International Journal of Systems Science Pages: 217-228 Issue: 2 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1691752 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1691752 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:2:p:217-228 Template-Type: ReDIF-Article 1.0 Author-Name: Gholamreza Hesamian Author-X-Name-First: Gholamreza Author-X-Name-Last: Hesamian Author-Name: Mohamad Ghasem Akbari Author-X-Name-First: Mohamad Ghasem Author-X-Name-Last: Akbari Author-Name: Javad Zendehdel Author-X-Name-First: Javad Author-X-Name-Last: Zendehdel Title: Location and scale fuzzy random variables Abstract: Several interpretations have been proposed so far for fuzzy random variables to describe imprecision and randomness. In this paper, a novel notion of fuzzy random variable was proposed to model fuzziness and randomness in a statistical procedure. For this purpose, a frequently used family of probability distributions called location and scale were first employed as the origin of randomness. Then, α-values of fuzzy numbers were combined with randomness to describe the fuzziness in the nature of the processes to produce a new concept of fuzzy random variable called location and scale fuzzy random variables. Then, some essential statistical features of the proposed fuzzy random variables including fuzzy cumulative distribution function, fuzzy expectation, exact variance and imprecise probability of an interval were discussed. The classical method of moment estimator was also developed to estimate the location and scale parameters. The developed technique was illustrated via several numerical evaluations. As an real-life application of the proposed fuzzy random variable, the reliability functions of k-out-of-n system and some reliability evaluation criteria were introduced and interpreted. Some numerical examples were also presented to illustrate the calculation of the proposed fuzzy system reliability criteria. Journal: International Journal of Systems Science Pages: 229-241 Issue: 2 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1701131 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1701131 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:2:p:229-241 Template-Type: ReDIF-Article 1.0 Author-Name: Fei Tan Author-X-Name-First: Fei Author-X-Name-Last: Tan Author-Name: Lili Zhou Author-X-Name-First: Lili Author-X-Name-Last: Zhou Author-Name: Fei Yu Author-X-Name-First: Fei Author-X-Name-Last: Yu Author-Name: Junwei Lu Author-X-Name-First: Junwei Author-X-Name-Last: Lu Title: Fixed-time continuous stochastic synchronisation of two-layer dynamical networks Abstract: This paper sheds light on the problem of fixed-time continuous stochastic outer synchronisation for two-layer networks with different topologies, which can be undirected or directed. With the Lyapunov stability theory, several sufficient conditions are obtained. To guarantee the fixed-time continuous stochastic synchronisation of two-layer dynamic networks, the continuous chattering-free feedback controllers are designed. Finally, simulation examples are provided to illustrate the effectiveness of our results. Journal: International Journal of Systems Science Pages: 242-257 Issue: 2 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1703057 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1703057 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:2:p:242-257 Template-Type: ReDIF-Article 1.0 Author-Name: Kun Yan Author-X-Name-First: Kun Author-X-Name-Last: Yan Author-Name: Mou Chen Author-X-Name-First: Mou Author-X-Name-Last: Chen Author-Name: Qingxian Wu Author-X-Name-First: Qingxian Author-X-Name-Last: Wu Author-Name: Yuhui Wang Author-X-Name-First: Yuhui Author-X-Name-Last: Wang Author-Name: Ronggang Zhu Author-X-Name-First: Ronggang Author-X-Name-Last: Zhu Title: Prescribed performance fault tolerant control for uncertain nonlinear systems with input saturation Abstract: This paper investigates the problem of adaptive fault tolerant tracking control for uncertain nonlinear systems in the event of external disturbances, actuator faults and input saturation. In order to guarantee the transient and steady-state control performance, the prescribed performance function is employed to impose the anticipant performance criterion on the output tracking error. By using the error transformation, the original inequality error constraint is converted to an unconstrained issue. For the conversion systems, the negative effect resulting from the external disturbances is restrained via the adaptive control approach. The radial basis function neural network (RBFNN) is adopted to handle the unknown nonlinear functions. The Nussbaum gain technique is utilised to deal with the nonlinear terms arising from the actuator faults and input saturation. Combining with the backstepping control strategy, an adaptive neural fault tolerant control (FTC) scheme is developed for the uncertain nonlinear systems. It is rigorously proved that the proposed controller is capable of ensuring the boundness of all closed-loop signals as well as the specified tracking performance. Simulation results on two examples are given to illustrate the effectiveness of the presented control approach. Journal: International Journal of Systems Science Pages: 258-274 Issue: 2 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1703058 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1703058 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:2:p:258-274 Template-Type: ReDIF-Article 1.0 Author-Name: Xiao Zhang Author-X-Name-First: Xiao Author-X-Name-Last: Zhang Author-Name: Feng Ding Author-X-Name-First: Feng Author-X-Name-Last: Ding Title: Hierarchical parameter and state estimation for bilinear systems Abstract: The identification of state-space models of bilinear systems is studied in this paper. The parameters to be identified of the considered system are coupled with the unknown states, which makes the identification problem more difficult than that of the linear state-space model. For the coupled variables, this paper introduces the interaction estimation theory to study an on-line algorithm for joint state-parameter estimation. To be more specific, a state observer in the bilinear form is established by minimising the state estimation error covariance matrix in the same way of a Kalman filter on the condition that the parameters are known. Then, a bilinear state observer based recursive least squares algorithm is developed using the least squares method. Moreover, for the purpose of improving the computational efficiency, a bilinear state observer based two-stage recursive least squares algorithm and a bilinear state observer based multi-stage recursive least squares algorithm are proposed by decomposing the system into several subsystems based on the hierarchical identification. Finally, a numerical simulation is employed to show the specific performance of the proposed approaches. Journal: International Journal of Systems Science Pages: 275-290 Issue: 2 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1704093 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1704093 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:2:p:275-290 Template-Type: ReDIF-Article 1.0 Author-Name: Guoying Miao Author-X-Name-First: Guoying Author-X-Name-Last: Miao Author-Name: Jinde Cao Author-X-Name-First: Jinde Author-X-Name-Last: Cao Author-Name: Tao Li Author-X-Name-First: Tao Author-X-Name-Last: Li Author-Name: Bo-Chao Zheng Author-X-Name-First: Bo-Chao Author-X-Name-Last: Zheng Title: Adaptive consensus problems of heterogeneous multi-agent systems with saturations Abstract: The paper discusses consensus problems of heterogeneous multi-agent systems with saturation constraints, which is made up of agents having the first- and second-order integrators. Based on distributed adaptive parameters design approaches, several consensus algorithms with saturations for multi-agent systems are given under the fixed topology. Moreover, corresponding communication protocols are designed under switching cases. Furthermore, adaptive centralised and distributed event-triggered conditions are introduced to reduce energy consumption of agents, respectively. By applying Lyapunov function method, models transformation techniques and graph theory, some sufficient consensus conditions are derived. Finally, simulation examples are offered to test proposed results. Journal: International Journal of Systems Science Pages: 291-302 Issue: 2 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1704094 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1704094 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:2:p:291-302 Template-Type: ReDIF-Article 1.0 Author-Name: Nallappan Gunasekaran Author-X-Name-First: Nallappan Author-X-Name-Last: Gunasekaran Author-Name: Guisheng Zhai Author-X-Name-First: Guisheng Author-X-Name-Last: Zhai Title: Sampled-data state-estimation of delayed complex-valued neural networks Abstract: This paper studies the sampled-data state-estimation problem of delayed complex-valued neural networks (CVNNs). By using Lyapunov–Krasovskii functional (LKF), standard integral inequality together with the reciprocal convex approach, a delay-dependent condition is established in terms of the solution to linear matrix inequalities (LMIs) such that the consider CVNNs is asymptotically stable. As a result, an estimator gain matrix can be obtained through sampling instant. Finally, a simulation example is given to illustrate the theoretical analysis. Journal: International Journal of Systems Science Pages: 303-312 Issue: 2 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1704095 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1704095 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:2:p:303-312 Template-Type: ReDIF-Article 1.0 Author-Name: Kezhen Han Author-X-Name-First: Kezhen Author-X-Name-Last: Han Author-Name: Jian Feng Author-X-Name-First: Jian Author-X-Name-Last: Feng Title: Fault tolerant tracking control for a class of linear parameter varying systems using reduced-order simultaneous estimator and optimal preview policy Abstract: This paper considers the reduced-order estimator based fault tolerant preview tracking control problem for a class of linear parameter varying (LPV) systems. The main research contents are composed of two aspects. First, a scheduling-parameter-dependent reduced-order simultaneous state/fault estimator is designed based on model transformation method, unknown input observer theory, estimator parameterisation, and robustness optimisation. Second, a novel robust fault tolerant preview tracking control policy is constructed by integrating fault signal compensation, state feedback, preview action of reference signals, and integral regulation of tracking errors. Compared with the relevant studies, the merits can be summarised in two aspects. On one hand, the proposed design method of reduced-order estimator can be applied to more general LPV models because it does not depend on the traditional constraint operations, such as decomposition of system output equation, separated estimations of actuator and sensor faults, or derivative of output equation. On the other hand, the optimal preview policy including preview action and integral regulation is introduced to increase the design degree of freedom, which contributes to the optimisation of fault tolerant tracking performance even under influences of fault estimation errors and disturbances. Finally, the effectiveness of the proposed method is verified by three case studies. Journal: International Journal of Systems Science Pages: 313-333 Issue: 2 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1704096 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1704096 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:2:p:313-333 Template-Type: ReDIF-Article 1.0 Author-Name: Hongqian Lu Author-X-Name-First: Hongqian Author-X-Name-Last: Lu Author-Name: Yue Hu Author-X-Name-First: Yue Author-X-Name-Last: Hu Author-Name: Chaoqun Guo Author-X-Name-First: Chaoqun Author-X-Name-Last: Guo Author-Name: Wuneng Zhou Author-X-Name-First: Wuneng Author-X-Name-Last: Zhou Title: New results on state estimation and stability analysis based H∞ control for multi-delay hybrid stochastic neural network Abstract: This paper researches the stability and stabilisation problems of stochastic neural network with multiple time delays. As for time delay, neuron state delay is first introduced in this paper. The neuron state delay and the activation function delay are considered simultaneously, which improves system performance effectively. Due to that part of the state is unmeasurable, this paper designs an observer for the observation of state information. By constructing an appropriate Lyapunov–Krasovskii functional and employing a method of combining free weighting matrix and integral inequality, an observer-based stability criterion is obtained. The conservativeness of delay upper bound is reduced actively. At last, a controller is designed for the stochastic neural network. Numerical examples are given to prove the effectiveness of the results. Journal: International Journal of Systems Science Pages: 334-347 Issue: 2 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2019.1704915 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1704915 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:2:p:334-347 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaomin Wang Author-X-Name-First: Xiaomin Author-X-Name-Last: Wang Author-Name: Benoit Zerr Author-X-Name-First: Benoit Author-X-Name-Last: Zerr Author-Name: Héléne Thomas Author-X-Name-First: Héléne Author-X-Name-Last: Thomas Author-Name: Benoit Clement Author-X-Name-First: Benoit Author-X-Name-Last: Clement Author-Name: Zexiao Xie Author-X-Name-First: Zexiao Author-X-Name-Last: Xie Title: Pattern formation of multi-AUV systems with the optical sensor based on displacement-based formation control Abstract: Associated with multi-autonomous underwater vehicle (AUV) systems, the optical sensors with short working range can be reconsidered, which can provide more detailed and more comprehensive descriptions of the seabed than acoustical sensors and can assist in communications among neighbouring AUVs. The typical achievable tasks for these multi-AUV systems equipped with optical sensors mainly include to study the seabed sediments, search small objects at the seabed, collect colourful biological samples, and monitor the underwater infrastructures, etc. The purpose of this research is to develop a new coordination strategy to make a fleet of AUVs build a geometrical pattern suitable for optical sensing at the seabed. This new coordination strategy includes two parts: designing a predefined pattern (a planar pyramid pattern) and proposing an associated formation control method (an improved asynchronous discrete consensus algorithm with a time-variant digraph via the displacement-based control, inspired from the fish schooling problem) to update the trajectories of AUVs in real-time and reach this pattern from a disorder distribution. Before it is tested at sea with six AUVs, the performance of this new coordination method is verified in the simulation environments constructed in Blender and Matlab respectively. The simulation results show the good convergence of this new coordination method. Journal: International Journal of Systems Science Pages: 348-367 Issue: 2 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2020.1716096 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1716096 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:2:p:348-367 Template-Type: ReDIF-Article 1.0 Author-Name: S. Saravanan Author-X-Name-First: S. Author-X-Name-Last: Saravanan Author-Name: M. Syed Ali Author-X-Name-First: M. Author-X-Name-Last: Syed Ali Author-Name: Hamed Alsulami Author-X-Name-First: Hamed Author-X-Name-Last: Alsulami Author-Name: Mohammed Sh. Alhodaly Author-X-Name-First: Mohammed Sh. Author-X-Name-Last: Alhodaly Title: Robust H∞ filtering for finite-time boundedness of Markovian jump system with distributed time-varying delays Abstract: This paper is concerned with the problem of the guaranteed $H_\infty $H∞ filtering with interval time-varying delay and Markovian jumping system. By constructing Lyapunov–Krasovskii functional, a novel delay-dependent criterion is presented such that the error system is stochastically finite-time bounded. In order to obtain results, Jensen's inequality, Wirtinger's integral inequality and Auxiliary function-based integral inequalities are employed. The $H_\infty $H∞ filter matrix can be achieved by solving the linear matrix inequalities (LMIs). Numerical example and simulation results are provided to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 368-380 Issue: 2 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2020.1716097 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1716097 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:2:p:368-380 Template-Type: ReDIF-Article 1.0 Author-Name: Tiao Yang Cai Author-X-Name-First: Tiao Yang Author-X-Name-Last: Cai Author-Name: Hui Long Jin Author-X-Name-First: Hui Long Author-X-Name-Last: Jin Author-Name: Xiang Peng Xie Author-X-Name-First: Xiang Peng Author-X-Name-Last: Xie Title: A reliable graphical criterion for TDS stability analysis Abstract: The paper considers the stability issue of linear systems with commensurate delays. This issue can be well characterised by the distribution of roots of system's characteristic equation. At first, distribution boundary of the roots (with positive real parts) is explicit given in a practical way. Subsequently, a reliable graphical stability criterion for calculating the number of unstable roots is deduced, associating with auxiliary polynomial which plays an important role in the analysis of high order and complex systems. Moreover, a procedure for drawing the winding curve of characteristic function in finite path is proposed. At last, typical examples are given to illustrate that the result carried out is reliable and efficient. Journal: International Journal of Systems Science Pages: 381-388 Issue: 2 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2020.1716098 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1716098 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:2:p:381-388 Template-Type: ReDIF-Article 1.0 Author-Name: He Li Author-X-Name-First: He Author-X-Name-Last: Li Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Fault estimation for fractional-order linear systems with polytopic uncertainties in the finite frequency domain Abstract: This paper investigates the problem of fault estimation for fractional-order systems with polytopic uncertainties. The faults and disturbances are considered to belong to finite frequency domains, and a fractional-order robust fault estimation filter is proposed for fault estimation with the known frequency ranges. As applications of the generalized Kalman–Yakubovich–Popov lemma, the fault estimation filter design problem is transformed into a multi-objective optimisation problem. By using the projection lemma and a linearising change of variables, sufficient conditions for the existence of the robust fault estimator are derived on the basis of a set of linear matrix inequalities. Numerical examples are used to demonstrate the validity of the presented method. Journal: International Journal of Systems Science Pages: 389-403 Issue: 2 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2020.1716100 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1716100 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:2:p:389-403 Template-Type: ReDIF-Article 1.0 Author-Name: Fangzhou Fu Author-X-Name-First: Fangzhou Author-X-Name-Last: Fu Author-Name: Dayi Wang Author-X-Name-First: Dayi Author-X-Name-Last: Wang Author-Name: Wenbo Li Author-X-Name-First: Wenbo Author-X-Name-Last: Li Author-Name: Fanbiao Li Author-X-Name-First: Fanbiao Author-X-Name-Last: Li Title: Data-driven fault identifiability analysis for discrete-time dynamic systems Abstract: Fault identifiability plays a key role in the fault diagnosability performance analysis of a system. However, considering the need for an accurate model, the design of control systems and fault diagnosis systems based on fault identifiability performance suffers from a limited application range because accurate models are rarely available for complex processes or plants, whereas substantial quantities of offline and online data can be obtained from systems with ease. This situation constitutes the motivation to develop a data-driven analysis method for determining the identifiability of faults in dynamic systems. The fault identifiability analysis problem is reformulated as the quantification of the difficulty associated with estimating an unknown value from a regression analysis perspective. Moreover, the proposed identification scheme for a stable kernel representation provides a direct way to identify the matrices required to compute the proposed measure, the estimability, which effectively reduces engineering costs in practical applications. Finally, the proposed method is applied to a vehicle lateral dynamic system to exemplify how to analyse the fault identifiability performance of a dynamic system. Journal: International Journal of Systems Science Pages: 404-412 Issue: 2 Volume: 51 Year: 2020 Month: 1 X-DOI: 10.1080/00207721.2020.1716101 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1716101 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:2:p:404-412 Template-Type: ReDIF-Article 1.0 Author-Name: Dongsheng Chen Author-X-Name-First: Dongsheng Author-X-Name-Last: Chen Author-Name: Cong Chen Author-X-Name-First: Cong Author-X-Name-Last: Chen Author-Name: Jian Li Author-X-Name-First: Jian Author-X-Name-Last: Li Title: Fault detection filter design for a class of discrete-time impulsive switched systems with quantised signals Abstract: This paper addresses the fault detection scheme for discrete-time nonlinear impulsive switched systems with a dynamic quantizer which is constituted with a dynamic parameter and a static quantizer. The stability of the given systems and the effective fault detection scheme are the goals of this problem. Consequently, model an original impulsive switched system with quantised signals, a switching strategy which is based on Lyapunov function and average dwell time is proposed. Subsequently, for practical network transmission channels requirement, the quantizer range and quantisation error are completely considered here to design a novel fault detection scheme, the sufficient conditions of designed fault detection filter are established by linear matrix inequality method. Finally, an illustrative example is introduced to demonstrated the validity of the presented method. Journal: International Journal of Systems Science Pages: 413-423 Issue: 3 Volume: 51 Year: 2020 Month: 2 X-DOI: 10.1080/00207721.2019.1673848 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1673848 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:3:p:413-423 Template-Type: ReDIF-Article 1.0 Author-Name: Xiang Ren Author-X-Name-First: Xiang Author-X-Name-Last: Ren Author-Name: Fei Hao Author-X-Name-First: Fei Author-X-Name-Last: Hao Title: Model-based dual-stage event-triggered control of linear system with two time scales Abstract: In this paper, the model-based event-triggered control is addressed for a class of linear systems with two time scales. The singular perturbation technique is used to analyse the stability of the event-triggered control closed-loop system with a dual-stage event-triggering condition. For the differences between the matrices of the plant and the model, the relations between the parameters in the event-triggering conditions are revealed for the stability and the sampling performance of the closed-loop systems. Specifically, the parameters in the event-triggering conditions can be selected in a range independent of the matrices in the model. Finally, two numerical simulations are provided to illustrate the efficiency and feasibility of the proposed results. Journal: International Journal of Systems Science Pages: 424-439 Issue: 3 Volume: 51 Year: 2020 Month: 2 X-DOI: 10.1080/00207721.2020.1716099 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1716099 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:3:p:424-439 Template-Type: ReDIF-Article 1.0 Author-Name: Khalid Badie Author-X-Name-First: Khalid Author-X-Name-Last: Badie Author-Name: Mohammed Alfidi Author-X-Name-First: Mohammed Author-X-Name-Last: Alfidi Author-Name: Fernando Tadeo Author-X-Name-First: Fernando Author-X-Name-Last: Tadeo Author-Name: Zakaria Chalh Author-X-Name-First: Zakaria Author-X-Name-Last: Chalh Title: Robust H∞ controller design for uncertain 2D continuous systems with interval time-varying delays Abstract: The design of delay-dependent robust $H_{\infty } $H∞ controllers is solved here for a class of uncertain 2D continuous systems: those with interval time-varying delays and norm-bounded parameter uncertainties. By constructing a novel augmented Lyapunov–Krasovskii functional and then using the Wirtinger inequality, a new delay-dependent stability condition is developed, that uses the known lower and upper bounds of the time-varying delays to develop less conservative solutions that previous results in the literature. This condition is then applied to $H_{\infty } $H∞ performance analysis and robust $H_{\infty } $H∞ controller design, using linear matrix inequalities (LMIs). Two numerical examples are presented that illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 440-460 Issue: 3 Volume: 51 Year: 2020 Month: 2 X-DOI: 10.1080/00207721.2020.1716102 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1716102 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:3:p:440-460 Template-Type: ReDIF-Article 1.0 Author-Name: Chengyuan Tan Author-X-Name-First: Chengyuan Author-X-Name-Last: Tan Author-Name: Sen Wang Author-X-Name-First: Sen Author-X-Name-Last: Wang Author-Name: Jing Wang Author-X-Name-First: Jing Author-X-Name-Last: Wang Title: Robust iterative learning control for iteration- and time-varying disturbance rejection Abstract: Iterative learning control (ILC) is an effective strategy to deal with repetitive tasks and has been widely applied in industrial systems. Many methods have been proposed to improving the performance of ILC system against iteration-invariant disturbances. While iteration-varying disturbances, which has more practical meaning, do not get enough researches. An observer is designed to estimate the system states and the total disturbances which include the system uncertainties and external disturbances. Furthermore, an iterative algorithm is given to estimate separately the disturbances from input and non-input channels. Then robust D-type ILC with disturbances compensation is proposed to improve the performance of systems with iteration-varying and time-varying disturbances. The convergence of proposed robust ILC system is proved, and the control parameters design is guided. Finally, simulation and comparison with other method are carried out to demonstrate the efficiency of the proposed method. Journal: International Journal of Systems Science Pages: 461-472 Issue: 3 Volume: 51 Year: 2020 Month: 2 X-DOI: 10.1080/00207721.2020.1716103 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1716103 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:3:p:461-472 Template-Type: ReDIF-Article 1.0 Author-Name: Haiyun Zhang Author-X-Name-First: Haiyun Author-X-Name-Last: Zhang Author-Name: Deyuan Meng Author-X-Name-First: Deyuan Author-X-Name-Last: Meng Author-Name: Jin Wang Author-X-Name-First: Jin Author-X-Name-Last: Wang Author-Name: Guodong Lu Author-X-Name-First: Guodong Author-X-Name-Last: Lu Title: Synchronisation of uncertain chaotic systems via fuzzy-regulated adaptive optimal control approach Abstract: This study investigates the adaptive synchronisation of uncertain chaotic systems with unmodelled nonlinearities, dynamic mismatch, parametric perturbations, and external disturbances. A fuzzy-regulated adaptive optimal control (FRAOC) scheme is derived to realise chaotic synchronisation under both structure and parameter uncertainties. In the proposed scheme, the uncertain chaotic dynamics is firstly captured and estimated using a self-organising learning algorithm in an online fuzzy rule database. Based on the complicated and uncertain chaotic information, control strategy is adaptively regulated and configured in the form of weighting matrix for the subsequent optimal controller by the use of fuzzy logic inference. An adaptive optimal controller is then developed, so that its control behaviour and performance are adaptively adjusted for the chaotic synchronisation and compound uncertainty compensation. A supervisory compensator with recursive adaptation law is also designed to attenuate the residual compensation error and guarantee the synchronisation stability. Chaotic synchronisation convergence using the proposed approach can be mathematically ensured and speeded up with satisfactory robustness. Simulation results also demonstrate the effectiveness of the proposed control method in comparison with robust quadratic optimal control based on linear matrix inequality approach. Journal: International Journal of Systems Science Pages: 473-487 Issue: 3 Volume: 51 Year: 2020 Month: 2 X-DOI: 10.1080/00207721.2020.1716104 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1716104 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:3:p:473-487 Template-Type: ReDIF-Article 1.0 Author-Name: Mahdi Siavash Author-X-Name-First: Mahdi Author-X-Name-Last: Siavash Author-Name: Vahid Johari Majd Author-X-Name-First: Vahid Johari Author-X-Name-Last: Majd Author-Name: Mahdie Tahmasebi Author-X-Name-First: Mahdie Author-X-Name-Last: Tahmasebi Title: A practical finite-time back-stepping sliding-mode formation controller design for stochastic nonlinear multi-agent systems with time-varying weighted topology Abstract: This paper addresses a practical finite-time leader-following formation controller design for the second-order stochastic Lipchitz nonlinear systems under uncertain communication environments and external disturbances. It is desired that the orientation of the formation change according to the variations in the leader’s orientation. The time-varying weighted topology matrix is modelled as a linear combination of a finite number of constant Laplacian matrices with time-varying coefficients. The proposed back-stepping sliding-mode controller guarantees that all the signals in the closed-loop system remain bounded in probability and the norm of sliding trajectories converge almost surely in finite-time to an arbitrary small neighbourhood of origin, which can be called almost-surely practical finite-time formation. The results are then modified for solving the consensus problem as well. In the simulation section, a stochastic multi-aircraft model, as well as a numerical example, are used to illustrate the effectiveness of the proposed design methods. Journal: International Journal of Systems Science Pages: 488-506 Issue: 3 Volume: 51 Year: 2020 Month: 2 X-DOI: 10.1080/00207721.2020.1716105 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1716105 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:3:p:488-506 Template-Type: ReDIF-Article 1.0 Author-Name: Sang-Young Oh Author-X-Name-First: Sang-Young Author-X-Name-Last: Oh Author-Name: Ho-Lim Choi Author-X-Name-First: Ho-Lim Author-X-Name-Last: Choi Title: Robust control for nonlinear systems with uncertain time-varying parameters coupled with non-triangular terms Abstract: In this paper, a robust control scheme is proposed for a class of nonlinear systems which consist of uncertain time-varying parameters that are coupled with non-triangular terms, perturbed nonlinearity, and external disturbance. In order to deal with time-varying parameters, we provide determination process of allowed time-varying parameters utilising a Lyapunov equation. With system analysis associated with perturbed nonlinearity, we show that all states of the controlled system remain bounded by a gain-scaling feedback controller in the presence of external disturbance. Moreover, the ultimate bounds of some system states can be made (arbitrarily) small by adjusting a gain-scaling factor depending on the system nonlinearity. The effectiveness of our control scheme is shown via an application example, with comparison of the existing result. Journal: International Journal of Systems Science Pages: 507-521 Issue: 3 Volume: 51 Year: 2020 Month: 2 X-DOI: 10.1080/00207721.2020.1716277 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1716277 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:3:p:507-521 Template-Type: ReDIF-Article 1.0 Author-Name: Liu Yang Author-X-Name-First: Liu Author-X-Name-Last: Yang Author-Name: Chengwei Wu Author-X-Name-First: Chengwei Author-X-Name-Last: Wu Author-Name: Yuxin Zhao Author-X-Name-First: Yuxin Author-X-Name-Last: Zhao Author-Name: Ligang Wu Author-X-Name-First: Ligang Author-X-Name-Last: Wu Title: Model reduction for discrete-time periodic systems with dissipativity Abstract: This paper is concerned with the model reduction problem for discrete-time periodic systems with time-varying delay. By utilising an adjusted reciprocally convex combination approach, some sufficient criteria are established to guarantee that the discrete-time periodic system with time-varying delay is asymptotically stable. Then, the reduced-order model is designed to approximate the original system. In the design, both the dissipativity and the Hankel norm performances are considered to test the model approximation, and correspondingly, the conditions are also established, which guarantee that the approximation error system is asymptotically stable with the dissipativity performance and the Hankel norm property, respectively. The convex linearisation and the projection are presented to design the reduced-order model, respectively. Finally, numerical examples are provided to verify the effectiveness of the design scheme. Journal: International Journal of Systems Science Pages: 522-544 Issue: 3 Volume: 51 Year: 2020 Month: 2 X-DOI: 10.1080/00207721.2020.1717016 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1717016 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:3:p:522-544 Template-Type: ReDIF-Article 1.0 Author-Name: Qingyu Su Author-X-Name-First: Qingyu Author-X-Name-Last: Su Author-Name: Zhongxin Fan Author-X-Name-First: Zhongxin Author-X-Name-Last: Fan Author-Name: Jian Li Author-X-Name-First: Jian Author-X-Name-Last: Li Title: Finite-time fault detection filters design for switched systems with all subsystems unstable Abstract: This paper deals with the problem of finite-time fault detection filters designing problem for switched systems with all subsystems unstable. Using the average dwell time method, a switching rule ensuring stability is given. The filter design is converted to the finite-time $L_{2} $L2-gain analysis. Then, sufficient conditions are raised to ensure finite-time boundedness and $L_{2} $L2-gain property by LMIs. Discretised Lyapunov function is introduced for the theoretical analysis. In the end, an example is listed to attest the general validity of the raised way. Journal: International Journal of Systems Science Pages: 545-555 Issue: 3 Volume: 51 Year: 2020 Month: 2 X-DOI: 10.1080/00207721.2020.1717017 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1717017 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:3:p:545-555 Template-Type: ReDIF-Article 1.0 Author-Name: Jing Xie Author-X-Name-First: Jing Author-X-Name-Last: Xie Author-Name: Hua Yan Author-X-Name-First: Hua Author-X-Name-Last: Yan Author-Name: Shujiang Li Author-X-Name-First: Shujiang Author-X-Name-Last: Li Author-Name: Dong Yang Author-X-Name-First: Dong Author-X-Name-Last: Yang Title: Almost output regulation model reference adaptive control for switched systems: combined adaptive strategy Abstract: This paper proposes the almost output regulation model reference adaptive control problem for switched systems with parametric uncertainties and multiple types of disturbances. By the almost output regulation model reference adaptive control strategy, the parametric uncertainties are suppressed and the multiple types of disturbances are rejected, simultaneously. In order to improve the transient performance of switched systems, the combined model reference adaptive control strategy is applied. A key point is to set up the almost output regulation model reference adaptive control strategy to achieve the tracking and the disturbance rejection performance. First, we design a switched identification model to estimate the plant uncertain parameters, by which more accurate plant parameters will be obtained. Secondly, based on the switched identification model, controllers with combined adaptive laws and a state-dependent switching law are designed to solve the almost output regulation model reference adaptive control problem for switched systems. Finally, a sufficient condition is given, which guarantees that the problem of the almost output regulation model reference adaptive control for switched systems is solvable in spite of the problem of almost output regulation model reference adaptive control for each subsystem is not solvable. Journal: International Journal of Systems Science Pages: 556-569 Issue: 3 Volume: 51 Year: 2020 Month: 2 X-DOI: 10.1080/00207721.2020.1721610 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1721610 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:3:p:556-569 Template-Type: ReDIF-Article 1.0 Author-Name: Luyuan Chen Author-X-Name-First: Luyuan Author-X-Name-Last: Chen Author-Name: Zhen Li Author-X-Name-First: Zhen Author-X-Name-Last: Li Author-Name: Xinyang Deng Author-X-Name-First: Xinyang Author-X-Name-Last: Deng Title: Emergency alternative evaluation under group decision makers: a new method based on entropy weight and DEMATEL Abstract: With the increasing occurrence frequency of emergency events, how to select the most desirable alternative has emerged as one critical issue in emergency management. In this paper, we propose a new method combining entropy weight and DEMATEL (decision-making trial and evaluation laboratory) to manage emergency alternative selection under group decision makers. Firstly, IFN (intuitionistic fuzzy number) is introduced to represent linguistic assessment of decision makers under different criteria. Secondly, based on belief entropy, the weight of decision makers is determined and then applied in IFWA (intuitionistic fuzzy weighted averaging) operator to fuse group assessment. Thirdly, with the weight of criteria calculated by DEMATEL, TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) is used to rank emergency alternatives. Two case studies are illustrated to demonstrate the efficiency and practicability of the proposed method through the comparison of other existing methods. The proposed method has three advantages: (1) Via IFN and IFWA operator, it is simple and efficient to address the representation and fusion of linguistic assessment under uncertain information. (2) DEMATEL can help decision-makers weight the importance of criteria considering their direct and indirect effects; (3) Belief entropy can well measure the uncertainty of information and is capable of determining the weight of experts objectively. Journal: International Journal of Systems Science Pages: 570-583 Issue: 3 Volume: 51 Year: 2020 Month: 2 X-DOI: 10.1080/00207721.2020.1723731 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1723731 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:3:p:570-583 Template-Type: ReDIF-Article 1.0 Author-Name: Huihui Ji Author-X-Name-First: Huihui Author-X-Name-Last: Ji Author-Name: He Zhang Author-X-Name-First: He Author-X-Name-Last: Zhang Author-Name: Baotong Cui Author-X-Name-First: Baotong Author-X-Name-Last: Cui Title: Feedback control for a class of semi-linear parabolic distributed parameter systems with mixed time delays Abstract: This paper investigates the design problem of collocated feedback controllers for a class of semi-linear distributed parameter systems with mixed time delays. The spatially distributed is divided by a finite number of intermittently local actuators and sensors. In order to deal with the problem of exponential stability analysis, the framework of a class of novel interval Lyapunov functional is established. By utilising Schur complement and linear matrix inequality (LMI) techniques, the corresponding stabilisation condition is then derived. Furthermore, the robust $H_{\infty } $H∞ control problem is considered for the uncertain distributed parameter systems with external load disturbance and mixed time delays. Based on the feedback controller, the $H_{\infty } $H∞ exponentially stability condition is derived for the uncertain systems. Finally, the simulation examples are presented to show the effectiveness of the proposed feedback control approach for Fisher equation and Blake–Scholes option pricing model. Journal: International Journal of Systems Science Pages: 585-600 Issue: 4 Volume: 51 Year: 2020 Month: 3 X-DOI: 10.1080/00207721.2020.1737261 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1737261 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:4:p:585-600 Template-Type: ReDIF-Article 1.0 Author-Name: D. L. Hu Author-X-Name-First: D. L. Author-X-Name-Last: Hu Author-Name: W. Chen Author-X-Name-First: W. Author-X-Name-Last: Chen Author-Name: H. G. Sun Author-X-Name-First: H. G. Author-X-Name-Last: Sun Title: Power-law stability of Hausdorff derivative nonlinear dynamical systems Abstract: The power law decay is widely observed in lab experiments and field observations. The Power-law stability, however, has little been reported in the literature. In this study, the definition of the Power-law stability is proposed, and then via the Lyapunov direct method, the Power-law stability of nonlinear dynamical systems based on the Hausdorff derivative is investigated. Furthermore, the fractal comparison principle is introduced to obtain the stability conditions for the dynamical systems of this type. Finally, two examples are given to elucidate the notion of Power-law stability. Journal: International Journal of Systems Science Pages: 601-607 Issue: 4 Volume: 51 Year: 2020 Month: 3 X-DOI: 10.1080/00207721.2020.1737262 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1737262 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:4:p:601-607 Template-Type: ReDIF-Article 1.0 Author-Name: Doo-Hyun Cho Author-X-Name-First: Doo-Hyun Author-X-Name-Last: Cho Author-Name: Dae-Sung Jang Author-X-Name-First: Dae-Sung Author-X-Name-Last: Jang Author-Name: Han-Lim Choi Author-X-Name-First: Han-Lim Author-X-Name-Last: Choi Title: Memetic algorithm-based path generation for multiple Dubins vehicles performing remote tasks Abstract: This paper formalises path planning problem for a group of heterogeneous Dubins vehicles performing tasks in a remote fashion and develops a memetic algorithm-based method to effectively produce the paths. In the setting, the vehicles are initially located at multiple depots in a two-dimensional space and the objective of planning is to minimise a weighted sum of the total tour cost of the group and the largest individual tour cost amongst the vehicles. While the presented formulation takes the form of a mixed-integer linear programme (MILP) for which off-the-shelf solvers are available, the MILP solver easily loses the tractability as the number of tasks and agents grow. Therefore, a memetic algorithm tailored to the presented formulation is proposed. The algorithm features a sophisticated encoding scheme to efficiently select the order of performing tasks. In addition, a path refinement technique that optimises detailed tours with the sequence of visits fixed is proposed to finally obtain further optimised trajectories. Comparative numerical experiments show the validity and efficiency of the proposed methods compared with the previous methods in the literature. Journal: International Journal of Systems Science Pages: 608-630 Issue: 4 Volume: 51 Year: 2020 Month: 3 X-DOI: 10.1080/00207721.2020.1737263 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1737263 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:4:p:608-630 Template-Type: ReDIF-Article 1.0 Author-Name: Haotian Xu Author-X-Name-First: Haotian Author-X-Name-Last: Xu Author-Name: Jingcheng Wang Author-X-Name-First: Jingcheng Author-X-Name-Last: Wang Title: Distributed observer-based control law with better dynamic performance based on distributed high-gain observer Abstract: The design of distributed observers is a hot topic in the research of multi-agent system. It can estimate the whole states of the plant with only portion of output information and the information communicated in the network. This paper introduces the high-gain matrix into the classical distributed observers to improve its convergence speed. In this scene, the performance of distributed observers-based control law can be improved. Since high-gain matrix change the structure of classical distributed observers, a group of sufficient conditions for the stability of the distributed high-gain observers are proved. Moreover, we prove the distributed high-gain observers-based control law satisfies certainty equivalency principle and the designed observer has performance recovery capability. A numerical simulation demonstrates the correction and superior property of our method. Journal: International Journal of Systems Science Pages: 631-642 Issue: 4 Volume: 51 Year: 2020 Month: 3 X-DOI: 10.1080/00207721.2020.1737264 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1737264 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:4:p:631-642 Template-Type: ReDIF-Article 1.0 Author-Name: A. A. Martynyuk Author-X-Name-First: A. A. Author-X-Name-Last: Martynyuk Author-Name: I. M. Stamova Author-X-Name-First: I. M. Author-X-Name-Last: Stamova Author-Name: V. A. Chernienko Author-X-Name-First: V. A. Author-X-Name-Last: Chernienko Title: Stability analysis of uncertain impulsive systems via fuzzy differential equations Abstract: In this paper, a system of impulsive equations with uncertain parameters is considered. A new approach to study qualitative properties of the solutions of such systems via fuzzy impulsive systems of equations is developed. The new technique is based on a comparison result for the elaborated fuzzy impulsive system. The method of matrix-valued Lyapunov functions is also used. By means of the established new technique, different stability criteria are proposed for the stationary solutions of the systems under consideration. Our results extend the theory and can be applied in the study of other qualitative properties of uncertain impulsive systems. Journal: International Journal of Systems Science Pages: 643-654 Issue: 4 Volume: 51 Year: 2020 Month: 3 X-DOI: 10.1080/00207721.2020.1737265 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1737265 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:4:p:643-654 Template-Type: ReDIF-Article 1.0 Author-Name: Na Lin Author-X-Name-First: Na Author-X-Name-Last: Lin Author-Name: Rundong Dou Author-X-Name-First: Rundong Author-X-Name-Last: Dou Author-Name: Qiang Ling Author-X-Name-First: Qiang Author-X-Name-Last: Ling Title: Bit rate conditions to stabilise a scalar linear system with measurement noise based on event triggering Abstract: This paper investigates the input-to-state stability (ISS) problem for a scalar continuous-time linear system with measurement noise under event-triggered sampling. The feedback information is transmitted through a digital communication network with bounded delay. Due to measurement noise, it is difficult to perfectly capture the system's state, which may harm the performance, and even destabilise the system. In order to deal with the measurement noise, a state observer is incorporated into the event generator. By designing the event-triggering strategy based on the observed state, the input-to-state stability of the concerned system can be ensured. We quantitatively analyse the required stabilising bit rate, which is mainly determined by the network delay and the system's dynamics. By selecting appropriate parameters of the event-triggered sampling strategy, the required stabilising bit rate is lower than the one by the conventional periodic sampling strategies. Due to the existence of measurement noise, extra bit rate is required compared with the case with perfect state. The bit rate increase of measurement noise can be arbitrarily reduced at the cost of the degraded control performance, which is measured by the ultimate upper bounds on the state. Simulations are done to illustrate the obtained stabilising bit rate conditions Journal: International Journal of Systems Science Pages: 655-668 Issue: 4 Volume: 51 Year: 2020 Month: 3 X-DOI: 10.1080/00207721.2020.1737266 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1737266 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:4:p:655-668 Template-Type: ReDIF-Article 1.0 Author-Name: Lei Pan Author-X-Name-First: Lei Author-X-Name-Last: Pan Author-Name: Jiong Shen Author-X-Name-First: Jiong Author-X-Name-Last: Shen Author-Name: Xiao Wu Author-X-Name-First: Xiao Author-X-Name-Last: Wu Author-Name: Sing Kiong Nguang Author-X-Name-First: Sing Kiong Author-X-Name-Last: Nguang Author-Name: Chen Chen Author-X-Name-First: Chen Author-X-Name-Last: Chen Title: Improved internal-model robust adaptive control with its application to coordinated control of USC boiler-turbine power units in flexible operations Abstract: Coordinated controllers for coal-fired ultra-supercritical (USC) boiler-turbine power units in the new flexible-operation mode face many challenges, such as faster load-following rate over wider-range operations, nonlinear dynamics with long time delay and multiple disturbances from strong-coupled multivariable processes. Hence, to improve the coordinated controller of the USB power unit, this paper proposes an internal-model robust adaptive control (IM-RAC) approach to handle nonlinearity, multiple variables, unknown uncertainties and long-time delay. The proposed IM-RAC augments an internal model with the framework of an L1 robust adaptive control to predict the time-delay variable. In addition, the proposed IM-RAC uses a dual-feedback adaptive law instead of a single-feedback adaptive law. Based on the proof by contradiction, the stability of the IM-RAC control loop is proved, and stability conditions and performance bounds are derived. Furthermore, an IM-RAC coordinated controller is designed for a 1000 MW coal-fired USC power unit. By simulations, we show that the proposed IM-RAC outperforms an advanced model predictive controller in the presences of fast and wide load-following, long-time delay and uncertainties. With less modelling requirements, the IM-RAC control approach is a promising solution to improve the operational flexibility of USC power units. Journal: International Journal of Systems Science Pages: 669-686 Issue: 4 Volume: 51 Year: 2020 Month: 3 X-DOI: 10.1080/00207721.2020.1737267 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1737267 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:4:p:669-686 Template-Type: ReDIF-Article 1.0 Author-Name: Benjamin C. Gruenwald Author-X-Name-First: Benjamin C. Author-X-Name-Last: Gruenwald Author-Name: Tansel Yucelen Author-X-Name-First: Tansel Author-X-Name-Last: Yucelen Author-Name: Gerardo De La Torre Author-X-Name-First: Gerardo Author-X-Name-Last: De La Torre Author-Name: Jonathan A. Muse Author-X-Name-First: Jonathan A. Author-X-Name-Last: Muse Title: Adaptive control for uncertain dynamical systems with nonlinear reference systems Abstract: A reference model of an adaptive control law defines how a closed-loop dynamical system under consideration has to asymptotically (or approximately) behave in the presence of system uncertainties. While it is of common practice to use reference models with linear dynamics, this can lead to limitations on the achievable closed-loop dynamical system performance – especially for applications involving highly capable dynamical systems such as highly manoeuvrable aircraft, missiles, and space launch vehicles. Because, linear reference models for these applications can only approximate the desired closed-loop behaviour of these nonlinear dynamical systems in narrow regions of the state-space. Motivated from this standpoint, this paper's contribution is to present a new adaptive control architecture for uncertain dynamical systems based on nonlinear reference models. Specifically, we analytically show that the system error between the uncertain dynamical system and the nonlinear reference model asymptotically vanishes in steady-state and its performance is guaranteed during the transient-time. We further discuss the practicality of our approach and provide numerical examples to demonstrate its efficacy. Journal: International Journal of Systems Science Pages: 687-703 Issue: 4 Volume: 51 Year: 2020 Month: 3 X-DOI: 10.1080/00207721.2020.1737269 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1737269 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:4:p:687-703 Template-Type: ReDIF-Article 1.0 Author-Name: Quan Quan Author-X-Name-First: Quan Author-X-Name-Last: Quan Author-Name: Kai-Yuan Cai Author-X-Name-First: Kai-Yuan Author-X-Name-Last: Cai Title: Sampled-data repetitive control for a class of non-minimum phase nonlinear systems subject to period variation Abstract: The robust sampled-data repetitive control (RC, or repetitive controller, also designated RC) problem for non-minimum phase nonlinear systems is both challenging and practical. This paper proposes a sampled-data output-feedback RC design for a class of non-minimum phase systems with measurable nonlinearities to improve the robustness against the period variation. The design relies on additive-state decomposition, by which the output-feedback RC problem is decomposed into an output-feedback RC problem for a linear time-invariant component and a state-feedback stabilisation problem for a nonlinear component. Thanks to the decomposition, existing controller design methods in both the frequency domain and the time domain are employed to make the robustness and discretisation for a continuous-time nonlinear system tractable. In order to demonstrate the effectiveness, an illustrative example is given. Journal: International Journal of Systems Science Pages: 704-718 Issue: 4 Volume: 51 Year: 2020 Month: 3 X-DOI: 10.1080/00207721.2020.1737755 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1737755 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:4:p:704-718 Template-Type: ReDIF-Article 1.0 Author-Name: Yunfeng Kang Author-X-Name-First: Yunfeng Author-X-Name-Last: Kang Author-Name: Lina Yao Author-X-Name-First: Lina Author-X-Name-Last: Yao Author-Name: Yuwei Ren Author-X-Name-First: Yuwei Author-X-Name-Last: Ren Title: Fault diagnosis and model predictive fault-tolerant control for stochastic distribution collaborative systems based on the T–S fuzzy model Abstract: This paper presents a fault-tolerant control scheme for a class of nonlinear stochastic distribution collaborative control systems, which are composed of two nonlinear subsystems connected in series to complete the target. The Takagi–Sugeno (T–S) fuzzy model is applied to approximate the nonlinear dynamics of a subsystem. The output of the whole system is the output probability density function (PDF) of the second subsystem. The fuzzy logic systems (FLS) is used to approximate the output PDF. To diagnose the fault that occurred in the first subsystem, an adaptive diagnostic observer and linear matrix inequality (LMI) technique are used to obtain the adaptive tuning law to estimate the fault. When a fault occurs, the fault itself cannot be compensated in the first subsystem and a model predictive fault-tolerant controller is designed in the second subsystem to compensate the fault, making the post-fault output PDF still track the desired PDF as close as possible. A simulated example is given, and the desired results have been obtained. Journal: International Journal of Systems Science Pages: 719-730 Issue: 4 Volume: 51 Year: 2020 Month: 3 X-DOI: 10.1080/00207721.2020.1737756 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1737756 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:4:p:719-730 Template-Type: ReDIF-Article 1.0 Author-Name: M. J. García-Ligero Author-X-Name-First: M. J. Author-X-Name-Last: García-Ligero Author-Name: A. Hermoso-Carazo Author-X-Name-First: A. Author-X-Name-Last: Hermoso-Carazo Author-Name: J. Linares-Pérez Author-X-Name-First: J. Author-X-Name-Last: Linares-Pérez Title: Least-squares estimators for systems with stochastic sensor gain degradation, correlated measurement noises and delays in transmission modelled by Markov chains Abstract: This paper addresses the linear least-squares estimation of a signal from measurements subject to stochastic sensor gain degradation and random delays during the transmission. These uncertainty phenomena, common in network systems, have traditionally been described by independent Bernoulli random variables. We propose a model that is more general and therefore has greater applicability to real-life situations. The model has two particular characteristics: firstly, the sensor gain degradation is represented by a white sequence of random variables with values in [0,1]; in addition, the absence or presence of delays in the transmission is described by a homogeneous three-state Markov chain, which reflects a possible correlation of delays at different sampling times. Furthermore, assuming that the measurement noise is one-step correlated, we obtain recursive prediction, filtering and fixed-point smoothing algorithms using the first and second-order moments of the signal and the processes present in the observation model. Simulation results for a scalar signal are provided to illustrate the feasibility of the proposed algorithms, using the estimation error variances as a measure of the quality of the estimators. Journal: International Journal of Systems Science Pages: 731-745 Issue: 4 Volume: 51 Year: 2020 Month: 3 X-DOI: 10.1080/00207721.2020.1737757 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1737757 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:4:p:731-745 Template-Type: ReDIF-Article 1.0 Author-Name: Meiyu Li Author-X-Name-First: Meiyu Author-X-Name-Last: Li Author-Name: Jianli Zhao Author-X-Name-First: Jianli Author-X-Name-Last: Zhao Author-Name: Jianwei Xia Author-X-Name-First: Jianwei Author-X-Name-Last: Xia Author-Name: Guangming Zhuang Author-X-Name-First: Guangming Author-X-Name-Last: Zhuang Author-Name: Zhen Wang Author-X-Name-First: Zhen Author-X-Name-Last: Wang Title: Non-fragile extended dissipative control for event-triggered networked stochastic systems Abstract: This paper investigates the problem of extended dissipative analysis based non-fragile controller for networked stochastic system under an event-triggered sampling scheme. First, we introduce an event-triggered scheme and the proposed system is modelled as a stochastic time-delay system. By multi-delay partitioning method, some delay-dependent criteria in terms of linear matrix inequality $(LMIs) $(LMIs) are proposed to ensure the mean-square stable with extended dissipative performance, where using the notion of the extended dissipative, we can solve (Q, S, R)-dissipativity, $H_\infty $H∞, passivity and $L_2-L_\infty $L2−L∞ performance in a unified framework by regulating some weight matrices. In addition, two non-fragile state feedback controllers are designed to ensure that the closed-loop system satisfies the extended dissipative performance. Finally, some simulation examples are given to substantiate the validity of the addressed method. Journal: International Journal of Systems Science Pages: 746-758 Issue: 4 Volume: 51 Year: 2020 Month: 3 X-DOI: 10.1080/00207721.2020.1737889 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1737889 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:4:p:746-758 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaozeng Xu Author-X-Name-First: Xiaozeng Author-X-Name-Last: Xu Author-Name: Yang Li Author-X-Name-First: Yang Author-X-Name-Last: Li Author-Name: Can Liu Author-X-Name-First: Can Author-X-Name-Last: Liu Author-Name: Hongbin Zhang Author-X-Name-First: Hongbin Author-X-Name-Last: Zhang Title: ℓ1-to-ℓ1 interval observation design for discrete-time switched linear systems under dwell time constraint Abstract: In this brief article, sufficient conditions characterising the $\ell _1 $ℓ1-gain of discrete-time switched positive linear systems (DSPLSs) under dwell time constraint are obtained. The dwell time refers to range, minimum and constant dwell time. These conditions are presented in terms of linear programming. Then, convex sufficient conditions on the existence of $\ell _1 $ℓ1-to- $\ell _1 $ℓ1 interval observers for discrete-time switched linear systems (DSLSs) are derived based on the $\ell _1 $ℓ1-gain stability analysis results of DSPLSs. By adding some parameter matrices, the proposed interval observer has a new structure that relaxes the design conditions. Suitable observer gains can be extracted from the solution of the dimensional optimisation problem where the $\ell _1 $ℓ1-gain of the system mapping the disturbances to the weighted observation errors is minimised. At last, some numerical examples of DSLSs are given for illustration. Journal: International Journal of Systems Science Pages: 759-770 Issue: 4 Volume: 51 Year: 2020 Month: 3 X-DOI: 10.1080/00207721.2020.1740822 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1740822 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:4:p:759-770 Template-Type: ReDIF-Article 1.0 Author-Name: Li Shaoyong Author-X-Name-First: Li Author-X-Name-Last: Shaoyong Author-Name: Zhao Chunrun Author-X-Name-First: Zhao Author-X-Name-Last: Chunrun Title: A deadlock control algorithm using control transitions for flexible manufacturing systems modelling with Petri nets Abstract: This paper develops a concept of control transition equation (CTE) and the corresponding deadlock control algorithm (DCA) using control transitions (CTs) to eliminate deadlocks in Petri nets. By analysing the reachability graph (RG) of an original net $(N_0,M_0) $(N0,M0) with deadlocks, this DCA firstly find all deadlock markings (DMs) and then the corresponding CTs are solved on the basis of the proposed CTE. Secondly, a linear programming problem that can minimise the number of CTs is applied to these CTs. In addition, in order to furtherly simplify the structure of these CTs, the reconstruction of the necessarily added CTs is performed by a circulating sequence number method. Finally, a live controlled system $(N^{C},M^{ C}) $(NC,MC) with the simpler structure is obtained by adding the desired CTs to $(N_0,M_0) $(N0,M0), which can reach the same number of states as the original plant model $(N_0,M_0) $(N0,M0), i. e. live maximally reachable number. The proposed DCA is different from deadlock prevention policies using control places (CPs) in most existing literature and whose correctness and efficiency are verified via the theoretical analysis and the relevant several examples. Journal: International Journal of Systems Science Pages: 771-785 Issue: 5 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1737268 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1737268 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:5:p:771-785 Template-Type: ReDIF-Article 1.0 Author-Name: E. Ashpazzadeh Author-X-Name-First: E. Author-X-Name-Last: Ashpazzadeh Author-Name: B. Han Author-X-Name-First: B. Author-X-Name-Last: Han Author-Name: M. Lakestani Author-X-Name-First: M. Author-X-Name-Last: Lakestani Author-Name: M. Razzaghi Author-X-Name-First: M. Author-X-Name-Last: Razzaghi Title: Derivative-orthogonal wavelets for discretizing constrained optimal control problems Abstract: In this article, a pair of wavelets for Hermite cubic spline bases are presented. These wavelets are in $C^{1} $C1 and supported on $[-1,1] $[−1,1]. These spline wavelets are then adapted to the interval $[0,1] $[0,1] and we prove that they form a Riesz wavelet in $L_2([0,1]) $L2([0,1]). The wavelet bases are used to solve the linear optimal control problems. The operational matrices of integration and product are then utilised to reduce the given optimisation problems to the system of algebraic equations. Because of the sparsity nature of these matrices, this method is computationally very attractive and reduces CPU time and computer memory. In order to save the memory requirement and computation time, a threshold procedure is applied to obtain algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique. Journal: International Journal of Systems Science Pages: 786-810 Issue: 5 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1739356 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1739356 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:5:p:786-810 Template-Type: ReDIF-Article 1.0 Author-Name: Weiwei Sun Author-X-Name-First: Weiwei Author-X-Name-Last: Sun Author-Name: Dongqing Liu Author-X-Name-First: Dongqing Author-X-Name-Last: Liu Author-Name: Yaping Tang Author-X-Name-First: Yaping Author-X-Name-Last: Tang Title: Global asymptotic stabilisation and H∞ control for a class of nonlinear Hamiltonian singular systems with delays and saturation Abstract: This paper studies the global asymptotical stabilisation and $H_\infty $H∞ control problems for a class of nonlinear Hamiltonian singular systems (NHSSs) with time-varying delays as well as input saturation. The delays existing in input and output are assumed to be bounded. A global asymptotic stabilisation controller is first proposed by output feedback, and $H_\infty $H∞ control performance is achieved for the discussed system when external disturbances are considered. Based on the structural characteristic of the NHSSs, the closed-loop system under the output feedback controller is transformed equivalently into slow subsystem and fast subsystem. Different criterions are identified to guarantee that the resulting closed-loop system is asymptotically stable and the γ-dissipative inequalities holds in the presence of disturbances, respectively. Finally, the validity of our proposed results is illustrated by a numerical example. Journal: International Journal of Systems Science Pages: 811-825 Issue: 5 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1740823 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1740823 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:5:p:811-825 Template-Type: ReDIF-Article 1.0 Author-Name: Min Wu Author-X-Name-First: Min Author-X-Name-Last: Wu Author-Name: Jun Cheng Author-X-Name-First: Jun Author-X-Name-Last: Cheng Author-Name: Chengda Lu Author-X-Name-First: Chengda Author-X-Name-Last: Lu Author-Name: Luefeng Chen Author-X-Name-First: Luefeng Author-X-Name-Last: Chen Author-Name: Xin Chen Author-X-Name-First: Xin Author-X-Name-Last: Chen Author-Name: Weihua Cao Author-X-Name-First: Weihua Author-X-Name-Last: Cao Author-Name: Xuzhi Lai Author-X-Name-First: Xuzhi Author-X-Name-Last: Lai Title: Disturbance estimator and smith predictor-based active rejection of stick–slip vibrations in drill-string systems Abstract: Stick–slip vibrations are widespread and hazardous phenomena in drilling practice. The objective of this paper is to develop a simple and general control strategy to minimise such vibrations together with unknown disturbances. Taking into account the transmission delay of the torsional energy from the surface to downhole, a neutral-type drill-string model is established and applied rather than a lumped-parameter model that cannot provide satisfactory modelling precision. Based on this neutral-type model, the major contribution consists of the combination of disturbance estimator and smith predictor to develop a robust vibration control scheme for drill-string systems. One conspicuous advantage of this scheme is that the effects of stick–slip vibrations and external disturbances are estimated without the need for any prior knowledge in the control input channel, and are offset correspondingly. Simulations confirm that this control scheme can achieve effective suppression of stick–slip vibrations with good tracking and disturbance rejection performance. Journal: International Journal of Systems Science Pages: 826-838 Issue: 5 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1744046 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1744046 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:5:p:826-838 Template-Type: ReDIF-Article 1.0 Author-Name: Zhi Li Author-X-Name-First: Zhi Author-X-Name-Last: Li Author-Name: Xin Ma Author-X-Name-First: Xin Author-X-Name-Last: Ma Author-Name: Yibin Li Author-X-Name-First: Yibin Author-X-Name-Last: Li Title: Robust trajectory tracking control for a quadrotor subject to disturbances and model uncertainties Abstract: In this paper, a robust hierarchical controller is proposed for trajectory tracking of a quadrotor in the presence of disturbances and parametric uncertainties. The hierarchical controller has an outer-inner loop structure. The outer loop controls the position of the quadrotor and generates desired roll and pitch angles for the inner loop corresponding to desired position, velocity and heading angle. The inner loop controls the attitude of the quadrotor. A disturbance observer based backstepping controller is designed for the outer loop to compensate for disturbances and guarantee robust position tracking. An adaptive non-singular terminal sliding mode controller is designed for the inner loop to ensure the attitude angles converge to their desired values in finite time and deal with the parametric uncertainties. The stability and online estimating capability of the proposed controller are proved by using Lyapunov theory. Finally, numerical simulation results are presented to validate the effectiveness of the proposed controller. Journal: International Journal of Systems Science Pages: 839-851 Issue: 5 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1746430 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1746430 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:5:p:839-851 Template-Type: ReDIF-Article 1.0 Author-Name: Sen Li Author-X-Name-First: Sen Author-X-Name-Last: Li Author-Name: Huadong Sun Author-X-Name-First: Huadong Author-X-Name-Last: Sun Author-Name: Wenxue Li Author-X-Name-First: Wenxue Author-X-Name-Last: Li Title: Stochastic hybrid multi-links networks with mixed delays: stabilisation analysis via aperiodically adaptive intermittent control Abstract: This paper investigates the problem of the mean square exponential stabilisation for stochastic hybrid multi-links networks with mixed delays (SHMND) via aperiodically adaptive intermittent control. Based on a new differential inequality with mixed delays and Markovian switching, two stability criteria are derived, which weakens the restriction on parameter that determines exponential convergence rate and reduces the conservativeness. The intensity of stochastic perturbations, coupling in multi-links and intermittent control gain have a great influence on these stability criteria. Different from the previous work that studying multi-links systems, we utilise Lyapunov method and the tree-cycle identity in graph theory integrating differential inequality techniques. Furthermore, the main results are applied to the stochastic hybrid multi-links oscillators with mixed delays. Finally, we give a numerical example to illustrate the effectiveness of theoretical results. Journal: International Journal of Systems Science Pages: 852-877 Issue: 5 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1746431 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1746431 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:5:p:852-877 Template-Type: ReDIF-Article 1.0 Author-Name: Han Yun-xiang Author-X-Name-First: Han Author-X-Name-Last: Yun-xiang Author-Name: Huang Xiao-qiong Author-X-Name-First: Huang Author-X-Name-Last: Xiao-qiong Title: An efficient algorithm for solving the system optimisation problem in transportation Abstract: In this paper, the classical optimal control problem in air transportation system is studied. The optimisation model is based on the principle of ‘first come first serve’ and the arrival traffic flow only occurs in the first queue which is assumed to be infinite. In addition, it is assumed that all processing times and arrival intervals are predefined. This paper aims to propose a new optimal control problem of series air traffic system and an effective solution. The exact algorithm of each sub-segment is given, and the required results are obtained. Numerical experiments show the effectiveness of the algorithm. Journal: International Journal of Systems Science Pages: 878-885 Issue: 5 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1746432 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1746432 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:5:p:878-885 Template-Type: ReDIF-Article 1.0 Author-Name: Kranthi Kumar Deveerasetty Author-X-Name-First: Kranthi Author-X-Name-Last: Kumar Deveerasetty Author-Name: S. K. Nagar Author-X-Name-First: S. K. Author-X-Name-Last: Nagar Title: Model order reduction of interval systems using an arithmetic operation Abstract: The paper presents an extension of the differentiation method for model order reduction of large-scale interval systems. This is an alternative approach to the existing differentiation method of interval systems. The proposed method has been applied for both continuous and discrete-time interval systems. The reduction of discrete-time interval systems is achieved by using simple linear transformation $z = \left ({w + 1} \right ) $z=w+1 and bilinear transformation $z = ({1+w})/({1-w}) $z=(1+w)/(1−w), where $w \ne 1 $w≠1. The proposed method always generates stable reduced-order models, and also it retains the zeroth-order interval time moment. Four numerical examples exemplify the accuracy of the method and computational simplicity. Furthermore, the difficulties associated with the extension of Routh-based approximations to interval systems for obtaining stable reduced-order models are discussed. The stability of interval systems is verified by using Kharitonov's theorem. Journal: International Journal of Systems Science Pages: 886-902 Issue: 5 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1746433 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1746433 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:5:p:886-902 Template-Type: ReDIF-Article 1.0 Author-Name: Shuhua Zhang Author-X-Name-First: Shuhua Author-X-Name-Last: Zhang Author-Name: Yu Hui Author-X-Name-First: Yu Author-X-Name-Last: Hui Author-Name: Ronghu Chi Author-X-Name-First: Ronghu Author-X-Name-Last: Chi Author-Name: Juan Li Author-X-Name-First: Juan Author-X-Name-Last: Li Title: Nonholonomic dynamic linearisation based adaptive PID-type ILC for nonlinear systems with iteration-varying uncertainties Abstract: In this work, three nonholonomic dynamic linearisation based adaptive P-, PD-, and PID-type iterative learning control schemes are proposed for nonlinear plants with nonrepetitive uncertainties including the different initial states and the iteration varying desired trajectories. We first linearise a non-affined nonlinear system into a linearly affined data model by developing a nonholonomic dynamic linearisation in iteration domain without assuming that the difference between the control inputs in two consecutive iterations be nonzero. On this basis, three adaptive P-type, PD-type, PID-type ILC methods are proposed, respectively. Moreover, both a projection-based parameter updating law to estimate unknown gradients and an iteration-difference observer to estimate nonlinear uncertainties are developed together. The proposed approaches not only have data-driven property like the traditional PID-type ILC, but also can deal with nonrepetitive uncertainties in initial states, desired trajectories, disturbances and so on, like the traditional adaptive ILC. The effectiveness and applicability of the three methods are confirmed by rigorous derivation and simulations. Journal: International Journal of Systems Science Pages: 903-921 Issue: 5 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1746434 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1746434 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:5:p:903-921 Template-Type: ReDIF-Article 1.0 Author-Name: Chih-Lyang Hwang Author-X-Name-First: Chih-Lyang Author-X-Name-Last: Hwang Author-Name: Yunta Lee Author-X-Name-First: Yunta Author-X-Name-Last: Lee Author-Name: Wei-Hsuan Hung Author-X-Name-First: Wei-Hsuan Author-X-Name-Last: Hung Title: Trajectory tracking with time-varying terrain conditions for an autonomous omnidirectional mobile robot using stratified variable structure saturated control Abstract: The trajectory tracking model of an autonomous omnidirectional mobile robot (ODMR) with different friction model for each wheel and motor dynamics is first achieved. Due to the fully actuated feature, the reference pose for ODMR is easily planned as compared with the under-actuated mobile robots. Subsequently, the reference motor current (RMC) is designed by the first switching surface. To make the motor current asymptotically track the RMC, a variable structure tracking control (VSTC) with the saturated output is designed by the second switching surface. The consideration of motor dynamics is to deal with the high-frequency motion behaviours of trajectory tracking, e.g. time-varying terrain, inaccurate friction model, discontinuous reference pose. The larger roughness of time-varying terrain, discontinuity of the reference pose or inaccurate friction model, the larger high-frequency amplitude of control input. In summary, the proposed stratified variable structure saturated control (SVSSC) includes the RMC and VSTC with the saturated output. The simulations for the circular trajectory with different nominal friction force and torque of each wheel and uncertainties by the SVSSC are satisfactorily achieved. The corresponding experiments with the mat on the reference trajectory and different reference pose for ODMR validate the effectiveness, robustness, and practicality of the proposed control. Journal: International Journal of Systems Science Pages: 922-938 Issue: 5 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1746435 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1746435 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:5:p:922-938 Template-Type: ReDIF-Article 1.0 Author-Name: Kazuya Sasaki Author-X-Name-First: Kazuya Author-X-Name-Last: Sasaki Author-Name: Zi-Jiang Yang Author-X-Name-First: Zi-Jiang Author-X-Name-Last: Yang Title: Disturbance observer-based control of UAVs with prescribed performance Abstract: This work proposes a novel robust nonlinear control method for trajectory tracking of a quadrotor unmanned aerial vehicle using the prescribed performance control technique and disturbance observers, in the presence of external disturbances and uncertainties of physical parameters. By exploiting the cascaded structure of the position subsystems and the attitude subsystems, the controller is designed in a backstepping manner, and the dynamic surface technique is adopted to avoid the explosion of the controller complexity. For each axis of the subsystem with uncertainties, the prescribed performance control technique is adopted to ensure a moderate control performance. Then a disturbance observer is constructed to enhance the corresponding controller to achieve a sufficiently small ultimate error. Not only the control performance of the overall control system, but also the behaviour of all the internal error signals are analysed rigorously. Finally, the performance of the proposed controller is confirmed by simulation studies. Journal: International Journal of Systems Science Pages: 939-957 Issue: 5 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1746436 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1746436 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:5:p:939-957 Template-Type: ReDIF-Article 1.0 Author-Name: Bashir Ahmad Author-X-Name-First: Bashir Author-X-Name-Last: Ahmad Author-Name: Madeaha Alghanmi Author-X-Name-First: Madeaha Author-X-Name-Last: Alghanmi Author-Name: Ahmed Alsaedi Author-X-Name-First: Ahmed Author-X-Name-Last: Alsaedi Author-Name: Ravi P. Agarwal Author-X-Name-First: Ravi P. Author-X-Name-Last: Agarwal Title: On an impulsive hybrid system of conformable fractional differential equations with boundary conditions Abstract: In this paper, we analyse a new hybrid system of nonlinear impulsive conformable fractional differential equations equipped with Dirichlet boundary conditions. Existence results for the given system are obtained by applying the modern tools of functional analysis. Examples are constructed for the illustration of the obtained results. In the given configuration, our results are new and contribute significantly to the related literature. Journal: International Journal of Systems Science Pages: 958-970 Issue: 5 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1746437 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1746437 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:5:p:958-970 Template-Type: ReDIF-Article 1.0 Author-Name: Chao Guo Author-X-Name-First: Chao Author-X-Name-Last: Guo Author-Name: Xue-Jun Xie Author-X-Name-First: Xue-Jun Author-X-Name-Last: Xie Title: Output feedback control of feedforward nonlinear systems with unknown output function and input matching uncertainty Abstract: This paper studies the problem of global output feedback control for a class of feedforward nonlinear systems with the unknown output function and input matching uncertainty, whose nonlinearities satisfy the linear growth condition on unmeasured states multiplying the unknown constant, polynomial-of-output and polynomial-of-input growth rates, where the value range of the power of polynomial-of-output growth rate is increased compared with the existing results. Under the new transformation, based on the dynamic gain method and backstepping method, by constructing a new extended state observer with two dynamic gains, an output feedback controller can be designed to ensure that all the signals of the closed-loop system are bounded, the states of the original system and the corresponding observer converge to zero, and the estimate of input matching uncertainty converges to its actual value. Journal: International Journal of Systems Science Pages: 971-986 Issue: 6 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1746438 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1746438 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:6:p:971-986 Template-Type: ReDIF-Article 1.0 Author-Name: Jun Hu Author-X-Name-First: Jun Author-X-Name-Last: Hu Author-Name: Yunfei Cui Author-X-Name-First: Yunfei Author-X-Name-Last: Cui Author-Name: Chongyang Lv Author-X-Name-First: Chongyang Author-X-Name-Last: Lv Author-Name: Dongyan Chen Author-X-Name-First: Dongyan Author-X-Name-Last: Chen Author-Name: Hongxu Zhang Author-X-Name-First: Hongxu Author-X-Name-Last: Zhang Title: Robust adaptive sliding mode control for discrete singular systems with randomly occurring mixed time-delays under uncertain occurrence probabilities Abstract: This paper is concerned with the problem of robust adaptive sliding mode control (RASMC) for discrete singular systems subject to randomly occurring mixed time-delays (ROMTDs) under uncertain occurrence probabilities. The mixed time delays are considered, which are comprised of both the discrete interval delays and infinite distributed delays. Meantime, two random variables obeying the Bernoulli distribution are utilised to depict the phenomena of randomly occurring discrete time-varying delay and distributed time-delay, in which the uncertain occurrence probabilities are modelled by the known scalars. An appropriate sliding surface function is firstly presented. Furthermore, some sufficient criteria via the free weighting matrices idea are obtained to ensure the admissibility of the resultant sliding motion by introducing new Lyapunov-Krasovskii functional. Subsequently, an RASMC law is synthesised to ensure the reachability criterion of pre-designed sliding surface, where an adaptive mechanism is introduced to estimate the related unknown bounds. Finally, the feasibility of the new RASMC strategy is illustrated by a numerical simulation. Journal: International Journal of Systems Science Pages: 987-1006 Issue: 6 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1746439 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1746439 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:6:p:987-1006 Template-Type: ReDIF-Article 1.0 Author-Name: Yongsheng Ma Author-X-Name-First: Yongsheng Author-X-Name-Last: Ma Author-Name: Mouquan Shen Author-X-Name-First: Mouquan Author-X-Name-Last: Shen Author-Name: Haiping Du Author-X-Name-First: Haiping Author-X-Name-Last: Du Author-Name: Yuesheng Ren Author-X-Name-First: Yuesheng Author-X-Name-Last: Ren Author-Name: Guangrui Bian Author-X-Name-First: Guangrui Author-X-Name-Last: Bian Title: An iterative observer-based fault estimation for discrete-time T-S fuzzy systems Abstract: An improved iterative observer for fault estimation of discrete-time T-S fuzzy systems is discussed in this paper. A discrete mean value convergence lemma is proposed firstly. Based on this lemma, a sequence of iterative observers are constructed to estimate the unknown fault. By choosing a general Lyapunov function, conditions for the resultant augmented system to be asymptotically stable with the required $H_\infty $H∞ performance are built in the framework of linear matrix inequalities. With the established conditions, an iterative algorithm is developed to realise the fault estimation. A numerical example is provided to verify the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1007-1018 Issue: 6 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1746440 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1746440 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:6:p:1007-1018 Template-Type: ReDIF-Article 1.0 Author-Name: Guoliang Wei Author-X-Name-First: Guoliang Author-X-Name-Last: Wei Author-Name: Linlin Liu Author-X-Name-First: Linlin Author-X-Name-Last: Liu Author-Name: Licheng Wang Author-X-Name-First: Licheng Author-X-Name-Last: Wang Author-Name: Derui Ding Author-X-Name-First: Derui Author-X-Name-Last: Ding Title: Event-triggered control for discrete-time systems with unknown nonlinearities: an interval observer-based approach Abstract: This paper is concerned with the interval observer-based control for a class of nonlinear systems with unknown nonlinearities. For the purpose of effectively reducing network congestion and improving resource utilisation, an event-triggered strategy is proposed for the channel between the interval observer and the controller. The designed controller with two gains is nontrivial and adequately utilises the real-time information of both the upper bound and the lower bound of system states. By using the monotonicity theory combined with the Lyapunov stability, some sufficient conditions are developed to ensure the closed-loop system with the given event-triggering scheme is input-to-state stable with the simultaneous presence of external disturbances and unknown nonlinearities. Two controller gain matrices and an observer gain are designed via the solution of a set of matrix inequalities. Finally, a simulation example is given to illustrate the effectiveness of the proposed control scheme. Journal: International Journal of Systems Science Pages: 1019-1031 Issue: 6 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1746441 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1746441 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:6:p:1019-1031 Template-Type: ReDIF-Article 1.0 Author-Name: Haniye Dehestani Author-X-Name-First: Haniye Author-X-Name-Last: Dehestani Author-Name: Yadollah Ordokhani Author-X-Name-First: Yadollah Author-X-Name-Last: Ordokhani Author-Name: Mohsen Razzaghi Author-X-Name-First: Mohsen Author-X-Name-Last: Razzaghi Title: Fractional-order Bessel wavelet functions for solving variable order fractional optimal control problems with estimation error Abstract: In the present paper, we apply the fractional-order Bessel wavelets (FBWs) for solving optimal control problems with variable-order (VO) fractional dynamical system. The VO fractional derivative operator is proposed in the sense of Caputo type. To solve the considered problem, the collocation method based on FBWFs, pseudo-operational matrix of VO fractional derivative and the dual operational matrix is proposed. In fact, we convert the problem with unknown coefficients in the constraint equations, performance index and conditions to an optimisation problem, by utilising the proposed method. Also, the convergence of the method with details is discussed. At last, to demonstrate the high precision of the numerical approach, we examine several examples. Journal: International Journal of Systems Science Pages: 1032-1052 Issue: 6 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1746980 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1746980 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:6:p:1032-1052 Template-Type: ReDIF-Article 1.0 Author-Name: Yan Jiang Author-X-Name-First: Yan Author-X-Name-Last: Jiang Author-Name: Junyong Zhai Author-X-Name-First: Junyong Author-X-Name-Last: Zhai Title: Global output feedback control for a class of high-order switched nonlinear systems with time-varying delays Abstract: This paper focuses on the output feedback stabilisation problem for a class of high-order switched nonlinear systems with time-varying delays. The powers and the nonlinear terms are dependent on the switching signal. Firstly, a homogeneous output-feedback controller is designed for the nominal switched system by virtue of adding a power integrator technique. Then, with the help of the homogeneous domination approach, homogeneous output feedback controllers are designed with series scaling gains. By successfully constructing an appropriate Lyapunov–Krasovskii functional for the stability analysis, it is shown that the resulted closed-loop system is globally asymptotically stable. In addition, the proposed control scheme can be extended to a class of high-order switched upper-triangular nonlinear systems with time-varying delays. Two examples are given to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1053-1065 Issue: 6 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1748745 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1748745 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:6:p:1053-1065 Template-Type: ReDIF-Article 1.0 Author-Name: Yiwen Qi Author-X-Name-First: Yiwen Author-X-Name-Last: Qi Author-Name: Xindi Xu Author-X-Name-First: Xindi Author-X-Name-Last: Xu Author-Name: Xianling Li Author-X-Name-First: Xianling Author-X-Name-Last: Li Author-Name: Zhiwu Ke Author-X-Name-First: Zhiwu Author-X-Name-Last: Ke Author-Name: Yanhui Liu Author-X-Name-First: Yanhui Author-X-Name-Last: Liu Title: H∞ control for networked switched systems with mixed switching law and an event-triggered communication mechanism Abstract: This paper studies the event-triggered $H_\infty $H∞ control problem for networked switched systems with a mixed time and state-dependent switching law. By the event-triggering strategies, only necessary samplings of feedback signals are determined to be released. The advantages are that redundant transmissions and updates can be reduced. By the adopted switching law, each sub-system will work for a minimum dwell time, and then a state-dependent switching starts to work. Specifically, by using discrete event-triggering strategies and considering the effects of transmission delays, a time-delay closed-loop switched system is first established. Then, by utilising multiple Lyapunov functions method, sufficient conditions are presented to ensure the stability of the closed-loop switched system with a certain $H_\infty $H∞ performance level. In particular, since the switching instants and the event-triggered instants may be coupled, typical cases are discussed in detail. Moreover, the co-design conditions for state-feedback sub-controller gains and event-triggering parameters are developed. Finally, the effectiveness of the proposed method is verified by numerical simulations. Journal: International Journal of Systems Science Pages: 1066-1083 Issue: 6 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1748746 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1748746 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:6:p:1066-1083 Template-Type: ReDIF-Article 1.0 Author-Name: Hong Wang-jian Author-X-Name-First: Hong Author-X-Name-Last: Wang-jian Author-Name: Ricardo A. Ramirez-Mendoza Author-X-Name-First: Ricardo A. Author-X-Name-Last: Ramirez-Mendoza Title: Stealth identification strategy for closed loop system structure Abstract: Many identification strategies for closed loop system structure assume that an open loop system is closed by a feedback mechanism, which contains a known and linear controller. This assumption means these identification strategies are feasible under some prior knowledge of feedback controller. To relax this assumption for some complex systems with unknown controller or nonlinear controller, a new stealth identification strategy is proposed to tackle the identification problem for closed loop system with unknown controller or nonlinear controller. Stealth identification modifies closed loop system, so that the new prediction error and inverse covariance matrix are all independent of the unknown controller or nonlinear controller. This independence simplifies the problem of estimating parameter vector and designing optimal input. The Robbins-Monro algorithm is applied to identify the unknown parameter vector in closed loop system with unknown controller, and the nonlinear controller is replaced by its equivalent linear time invariant controller. Some consideration about the linear approximation to nonlinear system are studied, and two linear approximation forms are constructed to approximate the nonlinear system. The effectiveness of our proposed stealth identification strategy is demonstrated through simulation example. Journal: International Journal of Systems Science Pages: 1084-1101 Issue: 6 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1749326 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1749326 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:6:p:1084-1101 Template-Type: ReDIF-Article 1.0 Author-Name: Qiang Li Author-X-Name-First: Qiang Author-X-Name-Last: Li Author-Name: Jinling Liang Author-X-Name-First: Jinling Author-X-Name-Last: Liang Title: Dissipativity of the stochastic Markovian switching CVNNs with randomly occurring uncertainties and general uncertain transition rates Abstract: The robust dissipativity problem is analysed in this article for the Markovian switching complex-valued neural networks perturbed by stochastic noises, where the transition rates of the Markovian switching are uncertain which comprise two categories: completely unknown or unknown but with known upper/lower bounds. The randomly occurring system uncertainties are governed by certain mutually independent Bernoulli-distributed white sequences, which might reflect more realistic dynamical behaviours of the switching network. Based on the generalised It $\hat {o} $oˆ's formula in complex form as well as certain stochastic analysis methods, several mode-dependent dissipativity/passivity criteria are obtained in terms of complex matrix inequalities. Finally, illustrative examples are provided to demonstrate feasibility of the derived results. Journal: International Journal of Systems Science Pages: 1102-1118 Issue: 6 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1752418 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1752418 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:6:p:1102-1118 Template-Type: ReDIF-Article 1.0 Author-Name: Jinhua Song Author-X-Name-First: Jinhua Author-X-Name-Last: Song Author-Name: Derui Ding Author-X-Name-First: Derui Author-X-Name-Last: Ding Author-Name: Hongjian Liu Author-X-Name-First: Hongjian Author-X-Name-Last: Liu Author-Name: Xueli Wang Author-X-Name-First: Xueli Author-X-Name-Last: Wang Title: Non-fragile distributed state estimation over sensor networks subject to DoS attacks: the almost sure stability Abstract: This paper focuses on the non-fragile distributed state estimation of discrete-time nonlinear systems over sensor networks subject to DoS attacks, whose probabilistic characterisations are adopted to reflect the reality better. On the basis of considering DoS attacks and gain variations, a non-fragile distributed state estimator is designed by fusing the innovation from the adjacent estimators and itself. In light of a switching idea, an auxiliary function on the product term of attack signals is exploited to disclose the evolution of the Lyapunov function. By virtue of the limit theorem and the developed evolution rule, a sufficient condition is proposed to guarantee that the error dynamics are almost surely asymptotical stable. Furthermore, gain variations are handled by utilising the well-known S-procedure, and the desired estimator gains are designed via a set of solutions of matrix inequalities. Finally, the effectiveness of the developed results is illustrated by a numerical example. Journal: International Journal of Systems Science Pages: 1119-1132 Issue: 6 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1752843 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1752843 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:6:p:1119-1132 Template-Type: ReDIF-Article 1.0 Author-Name: Yun Chen Author-X-Name-First: Yun Author-X-Name-Last: Chen Author-Name: Zhangping Chen Author-X-Name-First: Zhangping Author-X-Name-Last: Chen Author-Name: Zhenyu Chen Author-X-Name-First: Zhenyu Author-X-Name-Last: Chen Author-Name: Anke Xue Author-X-Name-First: Anke Author-X-Name-Last: Xue Title: Observer-based passive control of non-homogeneous Markov jump systems with random communication delays Abstract: This paper focuses on the passive control problem for Markov jump systems with piecewise-constant transition rates, random nonlinearities and random communication delays. An observer is used to obtain the system state, and communication delay with probabilistic distribution is considered. The probabilistic properties of the nonlinear perturbations and communication delays are described by two mutually independent Bernoulli sequences. Based on average dwell time method and Lyapunov stability theory, a sufficient stochastic passivity condition is presented. By singular value decomposition technique the gain matrices can be computed via strict linear matrix inequalities, and the desired controller guarantees the stochastic passivity of the closed-loop augmented system. The effectiveness of the method is illustrated by a numerical example. Journal: International Journal of Systems Science Pages: 1133-1147 Issue: 6 Volume: 51 Year: 2020 Month: 4 X-DOI: 10.1080/00207721.2020.1752844 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1752844 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:6:p:1133-1147 Template-Type: ReDIF-Article 1.0 Author-Name: V. Nithya Author-X-Name-First: V. Author-X-Name-Last: Nithya Author-Name: R. Sakthivel Author-X-Name-First: R. Author-X-Name-Last: Sakthivel Author-Name: Faris Alzahrani Author-X-Name-First: Faris Author-X-Name-Last: Alzahrani Author-Name: Y.-K. Ma Author-X-Name-First: Y.-K. Author-X-Name-Last: Ma Title: Fault-tolerant H∞ filtering for fuzzy networked control systems with quantisation effects Abstract: The issue of $H_{\infty } $H∞ memory filter design is investigated for a class of discrete-time Takagi–Sugeno (T-S) fuzzy networked control systems with time-varying delay and quantisation effects. The main objective of this paper is to formulate an $H_{\infty } $H∞ memory filter that can guarantee the resulting filtering error system to be finite-time bounded. Further, by considering the communication limitations, the state signals are quantised before transmission through a logarithmic quantiser and the quantisation error is considered in the filter design. In particular, the quantisation effects are dealt by employing the generalised sector bound approach. Based on Lyapunov stability theory, novel sufficient constraints are established in the form of linear matrix inequalities, to ensure the finite-time boundedness of the augmented filtering error system. Then, a new fault-tolerant $H_{\infty } $H∞ memory filter is formulated and also the filter gain parameters are attained by solving the derived LMI based constraints. Finally, a numerical example is furnished to support the efficacy and applicability of the developed filter design. Journal: International Journal of Systems Science Pages: 1149-1161 Issue: 7 Volume: 51 Year: 2020 Month: 5 X-DOI: 10.1080/00207721.2020.1752416 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1752416 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:7:p:1149-1161 Template-Type: ReDIF-Article 1.0 Author-Name: Ziran Chen Author-X-Name-First: Ziran Author-X-Name-Last: Chen Author-Name: Baoyong Zhang Author-X-Name-First: Baoyong Author-X-Name-Last: Zhang Author-Name: Yijun Zhang Author-X-Name-First: Yijun Author-X-Name-Last: Zhang Author-Name: Yongmin Li Author-X-Name-First: Yongmin Author-X-Name-Last: Li Author-Name: Zhengqiang Zhang Author-X-Name-First: Zhengqiang Author-X-Name-Last: Zhang Title: Event-triggered fault detection for T-S fuzzy systems subject to data losses Abstract: This work focuses on the fault detection for nonlinear networked systems. A fault detection filter is designed to detect the fault signal under the effect of disturbance. The communication channel of the networked system is supposed to be influenced by the limited bandwidth and random data losses. To deal with these, event-triggered scheme and Bernoulli process are employed to describe the problems, respectively. According to the above situation, we employ a formulated random series to describe the input of fuzzy filter. Differential mean value theorem based method is presented to handle the asynchronous membership functions. Synthetically, linear matrix inequality approach is employed to obtain the stability conditions and the filter design process. At last, we verify the performance of this method acting in the simulation example. Journal: International Journal of Systems Science Pages: 1162-1173 Issue: 7 Volume: 51 Year: 2020 Month: 5 X-DOI: 10.1080/00207721.2020.1752417 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1752417 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:7:p:1162-1173 Template-Type: ReDIF-Article 1.0 Author-Name: Ping He Author-X-Name-First: Ping Author-X-Name-Last: He Author-Name: Heng Li Author-X-Name-First: Heng Author-X-Name-Last: Li Author-Name: Xiaochun Luo Author-X-Name-First: Xiaochun Author-X-Name-Last: Luo Author-Name: Mali Xing Author-X-Name-First: Mali Author-X-Name-Last: Xing Title: Exponential synchronisation of linearly coupled reaction-diffusion neural networks with discrete and infinite distributed delays Abstract: This paper presents the exponential synchronisation for linearly coupled reaction-diffusion neural networks (CRDNNs) with discrete, infinite distributed delays and Dirichlet boundary condition. Two sufficient criteria are obtained for the exponential synchronisation of linearly coupled semi-linear diffusion partial differential equations (PDEs) with discrete, infinite distributed time-delays by using the Halanay inequality and Lyapunov-Krasoviskii functional stability scheme. These results are presented by linear matrix inequality and solved by MATLAB LMI Toolbox. Two simulation examples of linearly CRDNNs with discrete, infinite distributed delays are given to illustrate the validity of the results obtained above. Journal: International Journal of Systems Science Pages: 1174-1187 Issue: 7 Volume: 51 Year: 2020 Month: 5 X-DOI: 10.1080/00207721.2020.1753128 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1753128 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:7:p:1174-1187 Template-Type: ReDIF-Article 1.0 Author-Name: Hailong Tan Author-X-Name-First: Hailong Author-X-Name-Last: Tan Author-Name: Bo Shen Author-X-Name-First: Bo Author-X-Name-Last: Shen Author-Name: Kaixiang Peng Author-X-Name-First: Kaixiang Author-X-Name-Last: Peng Author-Name: Hongjian Liu Author-X-Name-First: Hongjian Author-X-Name-Last: Liu Title: Robust recursive filtering for uncertain stochastic systems with amplify-and-forward relays Abstract: This paper is concerned with the recursive filtering problem for a class of uncertain systems with amplify-and-forward (AF) relays. The parameter uncertainties are described by a set of norm-bounded matrices. An AF relay is located between the sensor and the remote filter to forward the signal received from the sensor to the filter. A set of random variables with certain probability distribution is introduced to characterise the transmission power of the sensor and relay transmitting the measurement. By utilising the average transmission power, a robust filter is first constructed for the stochastic uncertain system. Then, an upper bound is recursively obtained for the filtering error covariance in the presence of random transmission power and parameter uncertainties. The desired gain matrix is further parameterised by minimising the obtained upper bound. Moreover, the boundness is also analysed for the filtering error. Finally, the effectiveness of the proposed filtering algorithm is demonstrated by a numerical example. Journal: International Journal of Systems Science Pages: 1188-1199 Issue: 7 Volume: 51 Year: 2020 Month: 5 X-DOI: 10.1080/00207721.2020.1754960 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1754960 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:7:p:1188-1199 Template-Type: ReDIF-Article 1.0 Author-Name: Bogang Qu Author-X-Name-First: Bogang Author-X-Name-Last: Qu Author-Name: Nan Li Author-X-Name-First: Nan Author-X-Name-Last: Li Author-Name: Yurong Liu Author-X-Name-First: Yurong Author-X-Name-Last: Liu Author-Name: Fuad E. Alsaadi Author-X-Name-First: Fuad E. Author-X-Name-Last: Alsaadi Title: Estimation for power quality disturbances with multiplicative noises and correlated noises: a recursive estimation approach Abstract: In this paper, the recursive estimation problem is investigated for the power quality disturbances. A system model for the power quality disturbances with multiplicative noises and correlated noises is proposed based on engineering practice. The multiplicative noises are considered to account for the stochastic disturbances on the system states. The process noise and the measurement noise are assumed to be one-step autocorrelated. The process noise and the measurement noise are two-step cross-correlated. Attention is focused on the design of an unbiased and recursive estimation algorithm in the presence of multiplicative noises and correlated noises. First, the state covariance, one-step prediction error covariance and estimation error covariance are derived. Then, the estimation error covariance is minimised by appropriately designing the estimator gain. Finally, simulation experiments under three scenarios are carried out to illustrate the effectiveness of the proposed estimation scheme. Journal: International Journal of Systems Science Pages: 1200-1217 Issue: 7 Volume: 51 Year: 2020 Month: 5 X-DOI: 10.1080/00207721.2020.1755476 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1755476 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:7:p:1200-1217 Template-Type: ReDIF-Article 1.0 Author-Name: Ming Gao Author-X-Name-First: Ming Author-X-Name-Last: Gao Author-Name: Zhengmao Zhu Author-X-Name-First: Zhengmao Author-X-Name-Last: Zhu Author-Name: Yichun Niu Author-X-Name-First: Yichun Author-X-Name-Last: Niu Title: Robust H2/H∞ control for a class of time-varying nonlinear stochastic systems with state- and control-dependent noises Abstract: This paper deals with the problem of robust $H_2/H_\infty $H2/H∞ control for a class of discrete time-varying nonlinear stochastic systems with state- and control-dependent noises (also called $(x,u) $(x,u)-dependent noises). In the addressed system, all system parameters are allowed to be time-varying, parameter uncertainties are supposed to be norm-bounded, and nonlinearities are assumed to satisfy the sector-bounded condition. A robust stochastic bounded real lemma is established for the uncontrolled system by means of the Riccati difference equation (RDE). Moreover, a necessary and sufficient condition is presented for the existence of finite-horizon robust $H_2/H_\infty $H2/H∞ control by virtue of the solvability of coupled RDEs, and an iterative algorithm is designed to solve these RDEs. Finally, a numerical example is utilised to illustrate the effectiveness of the derived results. Journal: International Journal of Systems Science Pages: 1218-1228 Issue: 7 Volume: 51 Year: 2020 Month: 5 X-DOI: 10.1080/00207721.2020.1755742 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1755742 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:7:p:1218-1228 Template-Type: ReDIF-Article 1.0 Author-Name: Paulo P. M. Magro Author-X-Name-First: Paulo P. M. Author-X-Name-Last: Magro Author-Name: Hugo Tadashi M. Kussaba Author-X-Name-First: Hugo Tadashi M. Author-X-Name-Last: Kussaba Author-Name: João Yoshiyuki Ishihara Author-X-Name-First: João Yoshiyuki Author-X-Name-Last: Ishihara Title: Robust global distributed attitude control for multiple rigid bodies using a hybrid controller Abstract: This work proposes a distributed attitude synchronisation control for an undirected connected network of agents that robustly globally asymptotically stabilises the synchronised state. The strategy uses a quaternion representation of the attitude and hysteretic hybrid feedback with one binary logic variable for each agent to solve the problems arisen when purely continuous or memoryless discontinuous state-feedback laws are employed, such as the unwinding phenomenon and sensitivity to chattering. Compared to the scenario of a single rigid-body, for the strategy employed, the multiple rigid bodies scenario, a stronger requirement on the hysteresis half-width is necessary. Simulation results show the performance of the proposed controller in a six-agent scenario in contrast with another controller reported in the literature using a non-hybrid continuous feedback law. Journal: International Journal of Systems Science Pages: 1229-1242 Issue: 7 Volume: 51 Year: 2020 Month: 5 X-DOI: 10.1080/00207721.2020.1758232 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1758232 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:7:p:1229-1242 Template-Type: ReDIF-Article 1.0 Author-Name: Mohamed F. Hassan Author-X-Name-First: Mohamed F. Author-X-Name-Last: Hassan Author-Name: Mohammad Hammuda Author-X-Name-First: Mohammad Author-X-Name-Last: Hammuda Title: Leader-follower formation control of mobile nonholonomic robots via a new observer-based controller Abstract: In this paper, a novel observer-based control approach is developed to handle leader-follower formation control of multiple nonholonomic mobile robots. Unlike other available techniques, the proposed formation control strategy can be implemented online without the need to pre-specify the trajectories to be tracked, but only the desired location at the next instant of time. Such an approach permits the system to track formation protocols made of multiple complicated trajectories, and allows the designer to change the trajectories on-line according to the surrounding environment. The estimation part of the proposed approach is conducted using the newly developed smoothed regularised least-squares observer. This observer provides highly accurate predicted state estimates that are essential in generating the desired control strategy. The stability of the proposed observer-based controller is analysed. Simulation results of a formation consisting of a leader and two followers are presented to show the effectiveness and applicability of the developed approach. Journal: International Journal of Systems Science Pages: 1243-1265 Issue: 7 Volume: 51 Year: 2020 Month: 5 X-DOI: 10.1080/00207721.2020.1758233 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1758233 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:7:p:1243-1265 Template-Type: ReDIF-Article 1.0 Author-Name: Ya Zhang Author-X-Name-First: Ya Author-X-Name-Last: Zhang Author-Name: Xuxin Zhang Author-X-Name-First: Xuxin Author-X-Name-Last: Zhang Author-Name: Kecheng Liu Author-X-Name-First: Kecheng Author-X-Name-Last: Liu Title: Weight allocation in Laplacian matrix of random networks based on geodesic distances Abstract: This paper proposes a novel approach to the weight allocation in the leader-following Laplacian matrix of time-invariant/random networks by using the geodesic distances. The weight of each follower node is designed as a function of an adjusting parameter in power form, and the power number is set as the geodesic distance from this node to the leader in the topology. Under the given design, lower bounds of the second smallest real part of the eigenvalues of the Laplacian matrix and the mean Laplacian matrix are explicitly provided for time-invariant and random lossy networks, respectively. The lower bounds are further applied to distributively design consensus controllers and consensus estimator, and sufficient conditions of the adjusting parameter in the weights are distributively obtained to characterise the convergence of consensus protocols. Numerical examples are given to illustrate the results. Journal: International Journal of Systems Science Pages: 1266-1279 Issue: 7 Volume: 51 Year: 2020 Month: 5 X-DOI: 10.1080/00207721.2020.1758234 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1758234 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:7:p:1266-1279 Template-Type: ReDIF-Article 1.0 Author-Name: Zahra Rahmani Author-X-Name-First: Zahra Author-X-Name-Last: Rahmani Author-Name: Barmak Baigzadehnoe Author-X-Name-First: Barmak Author-X-Name-Last: Baigzadehnoe Author-Name: Behrooz Rezaie Author-X-Name-First: Behrooz Author-X-Name-Last: Rezaie Title: Tracking control of a class of nonlinear systems with output delay based on adaptive fuzzy dynamic surface control Abstract: This paper concerns with the tracking control problem of a class of unknown nonlinear time-delay systems in the presence of output delay and inaccessible states. To deal with the difficulties arising from unmeasurable states, a fuzzy logic observer based on delayed outputs is firstly employed. Then, based on the delayed output, observed states and filtered virtual control signals, proper change of coordinates is defined for the purpose of designing dynamic surface control. By introducing appropriate Lyapunov-Krasovskii functionals in the design procedures, a controller and adaptation laws are obtained for the control strategy of nonlinear systems subject to output delay. Moreover, by selecting design parameters and matrices based on the acquired stability criteria, it is proved that the proposed adaptive fuzzy dynamic surface output feedback control approach is able to guarantee the uniformly ultimately boundedness of all the signals in the closed loop unknown nonlinear output-delay systems. Finally, the theoretic achievements are applied to three well-known benchmark systems to illustrate the effectiveness and efficiency of the proposed approach. Journal: International Journal of Systems Science Pages: 1280-1306 Issue: 7 Volume: 51 Year: 2020 Month: 5 X-DOI: 10.1080/00207721.2020.1758827 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1758827 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:7:p:1280-1306 Template-Type: ReDIF-Article 1.0 Author-Name: Bi Zhang Author-X-Name-First: Bi Author-X-Name-Last: Zhang Author-Name: Xin-Gang Zhao Author-X-Name-First: Xin-Gang Author-X-Name-Last: Zhao Title: Robust indirect adaptive sliding model control for Wiener nonlinear systems Abstract: Wiener model structures have attracted considerable attentions due to their powerful modelling abilities to solve industrial problems. This paper considers a new class of Wiener model structure, which consists of a linear transfer function and a radial basis function (RBF) network. Based on this structure, the unstable zero-dynamics, the added disturbances and the approximation errors problems can be dealt with. Since the model parameters are assumed unknown, we develop a new indirect adaptive control scheme. It is a consensus that the certainty equivalence principle is the key that connects the adaptation algorithm with the control law. This paper explains that, for indirect adaptive control of Wiener model, this principle may not be applied directly. The main contribution of this paper is to address this issue by presenting a rigorous theoretical analysis. Representative examples including a simulated pH process control problem are studied to test the control performance. Comparison results indicate that the proposed controller has much wider applicability than some alternative methods, especially for its improved performance and smoother adaptation. Journal: International Journal of Systems Science Pages: 1307-1323 Issue: 7 Volume: 51 Year: 2020 Month: 5 X-DOI: 10.1080/00207721.2020.1759729 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1759729 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:7:p:1307-1323 Template-Type: ReDIF-Article 1.0 Author-Name: Ruzelan Khalid Author-X-Name-First: Ruzelan Author-X-Name-Last: Khalid Author-Name: Mohd Kamal Mohd Nawawi Author-X-Name-First: Mohd Kamal Mohd Author-X-Name-Last: Nawawi Author-Name: Luthful A. Kawsar Author-X-Name-First: Luthful A. Author-X-Name-Last: Kawsar Author-Name: Noraida A. Ghani Author-X-Name-First: Noraida A. Author-X-Name-Last: Ghani Author-Name: Anton A. Kamil Author-X-Name-First: Anton A. Author-X-Name-Last: Kamil Author-Name: Adli Mustafa Author-X-Name-First: Adli Author-X-Name-Last: Mustafa Title: Optimal routing of pedestrian flow in a complex topological network with multiple entrances and exits Abstract: A real-world topological network consists of multiple entrances along its source nodes. Routing appropriate percentages of pedestrians from these entrances to the particular available routes with relevant arrival rates will improve the network’s performance. This paper presents a framework for finding the optimal arrival rates of pedestrians from all available entrances and routes to downstream nodes maximising the network’s throughput. The calculation of the arrival rates and movement directions is based on M/G/C/C analytical and simulation models and the network flow model and considers the real distances of the entrances along the source nodes. The framework was tested on the Tuanku Syed Putra Hall, Universiti Sains Malaysia, Malaysia. Extensive analyses of the performances of its available nodes especially on the achievable optimal throughputs were documented and discussed. Quantitative results show that the hall’s throughput is optimised when pedestrians’ arrival rates to all the available entrances and their movement directions are controlled within certain ranges. Journal: International Journal of Systems Science Pages: 1325-1352 Issue: 8 Volume: 51 Year: 2020 Month: 6 X-DOI: 10.1080/00207721.2020.1756524 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1756524 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:8:p:1325-1352 Template-Type: ReDIF-Article 1.0 Author-Name: Alamdar Hafezi Author-X-Name-First: Alamdar Author-X-Name-Last: Hafezi Author-Name: Khosro Khandani Author-X-Name-First: Khosro Author-X-Name-Last: Khandani Author-Name: Vahid Johari Majd Author-X-Name-First: Vahid Johari Author-X-Name-Last: Majd Title: Non-fragile exponential polynomial observer design for a class of nonlinear fractional-order systems with application in chaotic communication and synchronisation Abstract: This paper addresses the design of a non-fragile exponential polynomial observer for a class of fractional-order nonlinear systems. Existence of the observer is proven and a sufficient condition for the stability of the state estimation error dynamics with a predetermined exponential convergence rate is derived employing the Lyapunov stability theorem. The exponential stability criterion is proposed in the form of linear matrix inequalities (LMIs). Moreover, some numerical examples have been provided to illustrate the effectiveness of the proposed approach. The synchronisation of fractional-order Lorenz systems has been investigated using the proposed method. Then, the proposed method has been applied to the chaotic communication problem of fractional-order chaotic systems with four scroll attractors. Journal: International Journal of Systems Science Pages: 1353-1372 Issue: 8 Volume: 51 Year: 2020 Month: 6 X-DOI: 10.1080/00207721.2020.1758231 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1758231 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:8:p:1353-1372 Template-Type: ReDIF-Article 1.0 Author-Name: Wiam Elleuch Author-X-Name-First: Wiam Author-X-Name-Last: Elleuch Author-Name: Ali Wali Author-X-Name-First: Ali Author-X-Name-Last: Wali Author-Name: Adel M. Alimi Author-X-Name-First: Adel M. Author-X-Name-Last: Alimi Title: Neural congestion prediction system for trip modelling in heterogeneous spatio-temporal patterns Abstract: Until recently, urban cities have faced an increasing demand for an efficient system able to help drivers to discover the congested roads and avoid the long queues. In this paper, an Intelligent Traffic Congestion Prediction System (ITCPS) was developed to predict traffic congestion states in roads. The system embeds a Neural Network architecture able to handle the variation of traffic changes. It takes into account various traffic patterns in urban regions as well as highways during workdays and free-days. The developed system provides drivers with the fastest path and the estimated travel time to reach their destination. The performance of the developed system was tested using a big and real-world Global Positioning System (GPS) database gathered from vehicles circulating in Sfax city urban areas, Tunisia as well as the highways linking Sfax and other Tunisian cities. The results of congestion and travel time prediction provided by our system show promise when compared to other non-parametric techniques. Moreover, our model performs well even in cross-regions whose data were not used during training phase. Journal: International Journal of Systems Science Pages: 1373-1391 Issue: 8 Volume: 51 Year: 2020 Month: 6 X-DOI: 10.1080/00207721.2020.1760957 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1760957 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:8:p:1373-1391 Template-Type: ReDIF-Article 1.0 Author-Name: Chaouki Aouiti Author-X-Name-First: Chaouki Author-X-Name-Last: Aouiti Author-Name: Rathinasamy Sakthivel Author-X-Name-First: Rathinasamy Author-X-Name-Last: Sakthivel Author-Name: Farid Touati Author-X-Name-First: Farid Author-X-Name-Last: Touati Title: Global dissipativity of fuzzy cellular neural networks with inertial term and proportional delays Abstract: This paper is concerned with the global dissipativity of fuzzy cellular neural networks with inertial term and proportional delays. Based on Lyapunov functionals and linear matrix inequality approach, new sufficient conditions are derived to ensure the global dissipativity and global exponential dissipativity of the suggested system. Moreover, the globally exponential attractive sets and positive invariant sets are also presented here. Finally, two numerical examples with its simulations are proposed to illustrate the effectiveness of the obtained results. Journal: International Journal of Systems Science Pages: 1392-1405 Issue: 8 Volume: 51 Year: 2020 Month: 6 X-DOI: 10.1080/00207721.2020.1764128 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1764128 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:8:p:1392-1405 Template-Type: ReDIF-Article 1.0 Author-Name: Mei Liu Author-X-Name-First: Mei Author-X-Name-Last: Liu Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Author-Name: Bohao Zhu Author-X-Name-First: Bohao Author-X-Name-Last: Zhu Author-Name: Xingjian Jing Author-X-Name-First: Xingjian Author-X-Name-Last: Jing Title: On positive realness and negative imaginariness of uncertain discrete-time state-space symmetric systems Abstract: This paper provides an analysis of uncertain discrete-time negative imaginary and positive real systems with state-space symmetry. First, a necessary and sufficient condition is provided for a minimal state-space symmetric system to be discrete-time positive real or discrete-time negative imaginary. Then, based on the discrete-time symmetric negative imaginary and positive real lemmas, bounds on symmetrically structured perturbations that maintain the negative imaginariness and positive realness of a discrete-time state-space symmetric system are derived. Finally, an RL network example is provided to illustrate the main results of the paper. Journal: International Journal of Systems Science Pages: 1406-1417 Issue: 8 Volume: 51 Year: 2020 Month: 6 X-DOI: 10.1080/00207721.2020.1764129 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1764129 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:8:p:1406-1417 Template-Type: ReDIF-Article 1.0 Author-Name: Yuxin Su Author-X-Name-First: Yuxin Author-X-Name-Last: Su Author-Name: Chunhong Zheng Author-X-Name-First: Chunhong Author-X-Name-Last: Zheng Title: A new nonsingular integral terminal sliding mode control for robot manipulators Abstract: This paper presents a new terminal sliding mode control for global finite-time tracking of uncertain robot manipulators. A novel integral sliding surface is proposed to eliminate the singularity completely. By integrating the proposed sliding surface and finite-time stability theory, a simple nonsingular terminal sliding mode control is developed. Global finite-time convergence of both sliding surface and tracking errors is proven. Simulations performed on a two degree-of-freedom (DOF) robot are presented to illustrate the effectiveness and improved performance of the proposed approach. Journal: International Journal of Systems Science Pages: 1418-1428 Issue: 8 Volume: 51 Year: 2020 Month: 6 X-DOI: 10.1080/00207721.2020.1764658 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1764658 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:8:p:1418-1428 Template-Type: ReDIF-Article 1.0 Author-Name: Yaoyao Wang Author-X-Name-First: Yaoyao Author-X-Name-Last: Wang Author-Name: Fei Yan Author-X-Name-First: Fei Author-X-Name-Last: Yan Author-Name: Surong Jiang Author-X-Name-First: Surong Author-X-Name-Last: Jiang Author-Name: Bai Chen Author-X-Name-First: Bai Author-X-Name-Last: Chen Title: Adaptive nonsingular terminal sliding mode control of cable-driven manipulators with time delay estimation Abstract: For accurate position tracking control of cable – driven manipulators under heavy lumped uncertainties, a novel adaptive nonsingular terminal sliding mode (ANTSM) control scheme using time delay estimation (TDE) is proposed and investigated in this paper. Thanks to the TDE technique, which uses the time-delayed states of the system to properly estimate and compensate the lumped complex system dynamics, the proposed controller is model-free and suitable for practical applications. Moreover, high precision and fast convergence and good robustness against lumped disturbance can be effectively obtained using the NTSM manifold and combined adaptive reaching law. Stability of the closed-loop control system is analysed using Lyapunov theory. Comparative numerical simulations and experimental studies were performed. Corresponding results effectively demonstrate the superiorities of the newly proposed controller over the existing TDE-based NTSM and CNTSM controllers under several classical cases. Journal: International Journal of Systems Science Pages: 1429-1447 Issue: 8 Volume: 51 Year: 2020 Month: 6 X-DOI: 10.1080/00207721.2020.1764659 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1764659 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:8:p:1429-1447 Template-Type: ReDIF-Article 1.0 Author-Name: Huiru Wang Author-X-Name-First: Huiru Author-X-Name-Last: Wang Author-Name: Sijie Lu Author-X-Name-First: Sijie Author-X-Name-Last: Lu Author-Name: Zhijian Zhou Author-X-Name-First: Zhijian Author-X-Name-Last: Zhou Title: Ramp loss for twin multi-class support vector classification Abstract: Twin K-class support vector classification (TKSVC) adopts ‘One-vs.-One-vs.-Rest’ structure to utilise all the samples to increase the prediction accuracy. However, TKSVC is sensitive to noises or outliers due to the use of the Hinge loss function. To reduce the negative influence of outliers, in this paper, we propose a more robust algorithm termed as Ramp loss for twin K-class support vector classification (Ramp-TKSVC) where we use the Ramp loss function to substitute the Hinge loss function in TKSVC. Because the Ramp-TKSVC is a non-differentiable non-convex optimisation problem, we adopt Concave–Convex Procedure (CCCP) to solve it. To overcome the drawbacks of conventional multi-classification methodologies, the TKSVC is utilised as a core of our Ramp-TKSVC. In the Ramp-TKSVC, the outliers are prevented from becoming support vectors, thus they are not involved in the construction of hyperplanes, making the Ramp-TKSVC more robust. Besides, the Ramp-TKSVC is sparser than the TKSVC. To verify the validity of our Ramp-TKSVC, we conduct experiments on 12 benchmark datasets in both linear and nonlinear cases. The experimental results indicate that our algorithm outperforms the other five compared algorithms. Journal: International Journal of Systems Science Pages: 1448-1463 Issue: 8 Volume: 51 Year: 2020 Month: 6 X-DOI: 10.1080/00207721.2020.1765047 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1765047 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:8:p:1448-1463 Template-Type: ReDIF-Article 1.0 Author-Name: Weilu Chen Author-X-Name-First: Weilu Author-X-Name-Last: Chen Author-Name: Jun Hu Author-X-Name-First: Jun Author-X-Name-Last: Hu Author-Name: Zhihui Wu Author-X-Name-First: Zhihui Author-X-Name-Last: Wu Author-Name: Xiaoyang Yu Author-X-Name-First: Xiaoyang Author-X-Name-Last: Yu Author-Name: Dongyan Chen Author-X-Name-First: Dongyan Author-X-Name-Last: Chen Title: Finite-time memory fault detection filter design for nonlinear discrete systems with deception attacks Abstract: In this paper, the finite-time memory fault detection filter (MFDF) is designed for nonlinear discrete systems with randomly occurring deception attacks, where the phenomenon of the randomly occurring deception attacks is characterised by a Bernoulli distributed random variable with known probability. To be specific, the finite-horizon data are employed to construct the MFDF. The main purpose of this paper is to design the MFDF such that, for all nonlinearities, external disturbances and randomly occurring deception attacks, the resultant augmented system is finite-time stable and attains the $H_{\infty } $H∞ performance. Accordingly, some sufficient conditions are developed to guarantee the existence of the desired fault detection filter parameters, where the solvability of the addressed problem is verified by the feasibility of certain matrix inequalities. Moreover, in order to show that the MFDF has better detection performance, a non-memory fault detection filter (NMFDF) is constructed to compare with the MFDF. Finally, two numerical simulations are utilised to illustrate the effectiveness of the proposed fault detection strategies and explain the superiority of the proposed MFDF. Journal: International Journal of Systems Science Pages: 1464-1481 Issue: 8 Volume: 51 Year: 2020 Month: 6 X-DOI: 10.1080/00207721.2020.1765219 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1765219 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:8:p:1464-1481 Template-Type: ReDIF-Article 1.0 Author-Name: Kai Wan Author-X-Name-First: Kai Author-X-Name-Last: Wan Author-Name: Deming Xu Author-X-Name-First: Deming Author-X-Name-Last: Xu Author-Name: Yun-shan Wei Author-X-Name-First: Yun-shan Author-X-Name-Last: Wei Title: Iterative learning control for 2-D linear discrete Fornasini–Marchesini model with input saturation Abstract: In this paper, convergent property of a saturation-strategy-based iterative learning control (ILC) law is first investigated for a class of two-dimensional linear discrete first Fornasini–Marchesini model (2-D LDFFM) with input saturation. A three-dimensional dynamical process is transformed into a 2-D dynamical process by row scanning approach or column scanning approach. As a result, it is theoretical proved no matter which method is adopted, perfect tracking on the desired reference surface is accomplished by virtue of the 2-D linear inequality theory. Numerical simulation on a practical thermal process is used to illustrate the effectiveness and feasibility of the designed ILC law. In addition, ILC convergence analysis for 2-D LDFFM with input delay and input saturation is discussed. Journal: International Journal of Systems Science Pages: 1482-1494 Issue: 8 Volume: 51 Year: 2020 Month: 6 X-DOI: 10.1080/00207721.2020.1766155 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1766155 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:8:p:1482-1494 Template-Type: ReDIF-Article 1.0 Author-Name: Wangli He Author-X-Name-First: Wangli Author-X-Name-Last: He Author-Name: Siqi Lv Author-X-Name-First: Siqi Author-X-Name-Last: Lv Author-Name: Chen Peng Author-X-Name-First: Chen Author-X-Name-Last: Peng Author-Name: Naoyuki Kubota Author-X-Name-First: Naoyuki Author-X-Name-Last: Kubota Author-Name: Feng Qian Author-X-Name-First: Feng Author-X-Name-Last: Qian Title: Improved leaderless consenus criteria of networked multi-agent systems based on the sampled data Abstract: This paper is concerned with leaderless consensus of networked multi-agent systems with Lipschitz-type nonlinear dynamics based on the sampled data. By introducing a weighted average state of all nodes as the virtual leader, the error variables are defined as the distance between agents and the virtual leader. The improvements are done in two directions. First, several consensus conditions are derived by linear matrix inequalities based on Finsler's lemma instead of algebraic criteria based on the general algebraic connectivity. Finsler's lemma is utilised to deal with the linear dependence of the error variables. Second, a distributed event-triggered transmission strategy under the periodic sampling scheme is proposed to reduce the communication between agents and the control updates, which only need to check the event condition at each sampling instant, avoiding the continuous monitor. With the improved strategies, one theorem and two corollaries are derived and a co-design approach of the feedback gain and the event-triggered matrix is also presented. Finally, an example is provided to validate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 2737-2752 Issue: 13 Volume: 49 Year: 2018 Month: 10 X-DOI: 10.1080/00207721.2018.1505005 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1505005 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:13:p:2737-2752 Template-Type: ReDIF-Article 1.0 Author-Name: Jun Wang Author-X-Name-First: Jun Author-X-Name-Last: Wang Author-Name: Baocang Ding Author-X-Name-First: Baocang Author-X-Name-Last: Ding Title: Two-step output feedback predictive control for Hammerstein systems with networked-induced time delays Abstract: This paper is mainly concerned with the design problem of two-step model predictive control (MPC) for nonlinear systems represented by Hammerstein model, where the network-induced time delays exist between sensor to controller (S2C) and controller to actuator (C2A) links. We assume that the system state is not measurable, so the state observer is employed to estimate the state. The intermediate variable for the linear part of the system is calculated by minimising the quadratic performance function. The time-delay compensation algorithm of two-step output feedback predictive control (TSOFPC) for Hammerstein systems is presented and validated by a numerical example. Journal: International Journal of Systems Science Pages: 2753-2762 Issue: 13 Volume: 49 Year: 2018 Month: 10 X-DOI: 10.1080/00207721.2018.1511872 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1511872 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:13:p:2753-2762 Template-Type: ReDIF-Article 1.0 Author-Name: Lijuan Liu Author-X-Name-First: Lijuan Author-X-Name-Last: Liu Author-Name: Feng Ding Author-X-Name-First: Feng Author-X-Name-Last: Ding Author-Name: Quanmin Zhu Author-X-Name-First: Quanmin Author-X-Name-Last: Zhu Title: Recursive identification for multivariate autoregressive equation-error systems with autoregressive noise Abstract: This paper considers the recursive identification problems for a class of multivariate autoregressive equation-error systems with autoregressive noise. By decomposing the system into several regressive identification subsystems, a maximum likelihood recursive generalised least squares identification algorithm is proposed to identify the parameter vectors in each subsystem. In addition, a multivariate recursive generalised least squares algorithm is derived as a comparison. The numerical simulation results indicate that the maximum likelihood recursive generalised least squares algorithm can effectively estimate the parameters of the multivariate autoregressive equation-error autoregressive systems and get more accurate parameter estimates than the multivariate recursive generalised least squares algorithm. Journal: International Journal of Systems Science Pages: 2763-2775 Issue: 13 Volume: 49 Year: 2018 Month: 10 X-DOI: 10.1080/00207721.2018.1511873 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1511873 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:13:p:2763-2775 Template-Type: ReDIF-Article 1.0 Author-Name: Jun-yong Zhai Author-X-Name-First: Jun-yong Author-X-Name-Last: Zhai Author-Name: Zhibao Song Author-X-Name-First: Zhibao Author-X-Name-Last: Song Author-Name: Hamid Reza Karimi Author-X-Name-First: Hamid Reza Author-X-Name-Last: Karimi Title: Global finite-time control for a class of switched nonlinear systems with different powers via output feedback Abstract: This paper is concerned with the problem of global finite-time control for switched nonlinear systems whose nonlinear terms satisfy homogenous growth conditions. At first, we design homogenous output feedback controllers for nominal switched nonlinear systems by adding a power integrator method. Then, we employ the homogeneous domination approach to scale homogeneous observers and controllers to render switched nonlinear systems with lower-triangular homogenous growth condition globally finite-time stable. Finally, the proposed control method can be extended to switched nonlinear systems satisfying with upper-triangular homogeneous growth condition. Two examples are provided to demonstrate the effectiveness of the proposed control scheme. Journal: International Journal of Systems Science Pages: 2776-2783 Issue: 13 Volume: 49 Year: 2018 Month: 10 X-DOI: 10.1080/00207721.2018.1512679 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1512679 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:13:p:2776-2783 Template-Type: ReDIF-Article 1.0 Author-Name: Seyed Ali Mohamad Dehghan Author-X-Name-First: Seyed Ali Mohamad Author-X-Name-Last: Dehghan Author-Name: Hamid Reza Koofigar Author-X-Name-First: Hamid Reza Author-X-Name-Last: Koofigar Author-Name: Mohsen Ekramian Author-X-Name-First: Mohsen Author-X-Name-Last: Ekramian Title: An adaptive arm’s mechanical impedance estimator for rehabilitation robots without force and acceleration sensors Abstract: The mechanical impedance of the human arm can be measured to quantitatively assess the motor function. In this paper, an adaptive least square estimation method is proposed for online measurement of the mechanical impedance of the arm, without force or acceleration sensors, which extremely reduces the expenses and complexity of rehabilitation robots. The proposed strategy may also be used for monitoring the dynamic changes of the mechanical impedance. Estimation of time-varying force is also the other capability of the algorithm. The closed-loop stability of the system is analytically shown using the Lyapunov stability theorem. To show the applications of the proposed scheme, two main scenarios are described which can be used for the rehabilitation robots to assess the motor recovery of the patients undergoing the rehabilitation sessions. To validate the scheme, a 2-DOF manipulator is adopted to illustrate the accuracy of the impedance and force estimations in noiseless and noisy conditions. Journal: International Journal of Systems Science Pages: 2784-2796 Issue: 13 Volume: 49 Year: 2018 Month: 10 X-DOI: 10.1080/00207721.2018.1525622 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1525622 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:13:p:2784-2796 Template-Type: ReDIF-Article 1.0 Author-Name: Saeed Rafee Nekoo Author-X-Name-First: Saeed Author-X-Name-Last: Rafee Nekoo Author-Name: Mohsen Irani Rahaghi Author-X-Name-First: Mohsen Author-X-Name-Last: Irani Rahaghi Title: Recursive approximate solution to time-varying matrix differential Riccati equation: linear and nonlinear systems Abstract: An approximate solution is proposed for linear-time-varying (LTV) systems based on Taylor series expansion in a recursive manner. The intention is to present a fast numerical solution with reduced sampling time in computation. The proposed procedure is implemented on finite-horizon linear and nonlinear optimal control problem. Backward integration (BI) is a well known method to give a solution to finite-horizon optimal control problem. The BI performs a two-round solution: first one elicits an optimal gain and the second one completes the answer. It is very important to finish the backward solution promptly lest in practical work, system should not wait for any action. The proposed recursive solution was applied for mathematical examples as well as a manipulator as a representative of complex nonlinear systems, since path planning is a critical subject solved by optimal control in robotics. Journal: International Journal of Systems Science Pages: 2797-2807 Issue: 13 Volume: 49 Year: 2018 Month: 10 X-DOI: 10.1080/00207721.2018.1525623 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1525623 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:13:p:2797-2807 Template-Type: ReDIF-Article 1.0 Author-Name: Shixi Wen Author-X-Name-First: Shixi Author-X-Name-Last: Wen Author-Name: Ge Guo Author-X-Name-First: Ge Author-X-Name-Last: Guo Title: Cooperative control and communication of connected vehicles considering packet dropping rate Abstract: This paper investigates cooperative control and communication scheduling of a platoon of connected vehicles. Considering the effect of packet dropout and the network access limitation, the vehicular platoon is modelled as a discrete-time switching system. We obtain a set of sufficient conditions (where the rate of different platoon control modes is factored in) for string stability and schedulability of the vehicular platoon. A unified framework of network access scheduling and platoon control is proposed, which can guarantee string stability of the platoon of vehicles and resolve network access conflicts among them. Both numerical simulations and experimental studies with laboratory-scale cars have demonstrated the effectiveness of the presented co-design algorithm. Journal: International Journal of Systems Science Pages: 2808-2825 Issue: 13 Volume: 49 Year: 2018 Month: 10 X-DOI: 10.1080/00207721.2018.1526346 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1526346 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:13:p:2808-2825 Template-Type: ReDIF-Article 1.0 Author-Name: Hamed Habibi Author-X-Name-First: Hamed Author-X-Name-Last: Habibi Author-Name: Ian Howard Author-X-Name-First: Ian Author-X-Name-Last: Howard Author-Name: Reza Habibi Author-X-Name-First: Reza Author-X-Name-Last: Habibi Title: Sensor fault detection and isolation: a game theoretic approach Abstract: This paper studies sensor fault detection using a game theoretic approach. Sensor fault detection is considered as change point analysis in the coefficients of a regression model. A new method for detecting faults, referred to as two-way fault detection, is introduced which defines a game between two players, i.e. the fault detectors. In this new strategic environment, assuming that the independent states of the regression model are known, the test statistics are derived and their finite sample distributions under the null hypothesis of no change are derived. These test statistics are useful for testing the fault existence, as well as, the pure and mixed Nash equilibriums are derived for at-most-one-change and epidemic change models. A differential game is also proposed and solved using the Pontryagin maximum principle. This solution is useful for studying the fault detection problem in unknown state cases. Kalman filter and linear matrix inequality methods are used in finding the Nash equilibrium for the case of unknown states. Illustrative examples are presented to show the existence of the Nash equilibriums. Also, the proposed fault detection scheme is numerically evaluated via its application on a practical system and its performance is compared with the cumulative sum method. Journal: International Journal of Systems Science Pages: 2826-2846 Issue: 13 Volume: 49 Year: 2018 Month: 10 X-DOI: 10.1080/00207721.2018.1526347 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1526347 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:13:p:2826-2846 Template-Type: ReDIF-Article 1.0 Author-Name: Ali Tavasoli Author-X-Name-First: Ali Author-X-Name-Last: Tavasoli Title: Well-posedness and exponential stability of two-dimensional vibration model of a boundary-controlled curved beam with tip mass Abstract: This paper studies the well-posedness and exponential stability of two-dimensional vibration model of a curved beam with tip mass under linear boundary control. The control task is to stabilise the tangential and radial vibrations, which are coupled due to the beam curvature. To reach the main results of the paper, mathematical analyses based on the semigroup theory and Lyapunov approach are conducted, and it is shown that the proposed closed-loop model holds a unique solution that converges to zero exponentially fast. These analyses are based on a hybrid dynamic model that incorporates two coupled partial differential equations and six boundary conditions, including two ordinary differential equations. Simulation results are used to illustrate the efficacy of the suggested method. Journal: International Journal of Systems Science Pages: 2847-2860 Issue: 13 Volume: 49 Year: 2018 Month: 10 X-DOI: 10.1080/00207721.2018.1526348 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1526348 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:13:p:2847-2860 Template-Type: ReDIF-Article 1.0 Author-Name: Yanliang Cui Author-X-Name-First: Yanliang Author-X-Name-Last: Cui Author-Name: Lanlan Xu Author-X-Name-First: Lanlan Author-X-Name-Last: Xu Title: Event-triggered sliding mode control for uncertain linear systems with time-varying delay and stochastic disturbance Abstract: This paper investigates the control issue of uncertain systems in presenting of time-varying delay and stochastic disturbance. The state information is real-timely measured by the sensor and directly sent to an event-trigger, then only necessary data is transmitted by the event-trigger to the controller while the rest redundant information is simply discarded. Since the controller receives a discontinuous-time data sequence, an observer is designed to restructure a substitutional continuous-time state and an observer-state-dependent sliding mode control law is proposed. By the proposed method, not only the mean square exponential stability of closed-loop system can be guaranteed almost surely but also the data transmission amount can be reduced. In addition, the chattering behaviour can be alleviated, meanwhile, the match conditions of uncertainty and disturbance are not required. More significantly, the Zeno phenomena of the event-trigger can be conveniently excluded and the minimal event-triggering interval is also given. A numerical example is provided to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2861-2871 Issue: 13 Volume: 49 Year: 2018 Month: 10 X-DOI: 10.1080/00207721.2018.1526349 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1526349 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:13:p:2861-2871 Template-Type: ReDIF-Article 1.0 Author-Name: Dandan Zhang Author-X-Name-First: Dandan Author-X-Name-Last: Zhang Author-Name: Guangren Duan Author-X-Name-First: Guangren Author-X-Name-Last: Duan Title: Leader-following fixed-time output feedback consensus for second-order multi-agent systems with input saturation Abstract: This paper investigates the leader-following fixed-time output feedback consensus problem for second-order multi-agent systems with input saturation. By combing fixed-time control technique and bi-limit homogeneous systems theory, a class of bounded fixed-time consensus protocols are developed for leader-following multi-agent systems. The protocol design is divided into two parts. First, when all the state information of the followers are measurable, a state feedback consensus protocol is designed to achieve fixed-time consensus. Then, when the velocity information is unmeasurable, an observer-based fixed-time consensus protocol is proposed. With the help of Lyapunov stability theorem and the property of a homogeneous function, it is theoretically shown that the states of all followers can track that of the leader in fixed-time in the presence of input saturation. Finally, numerical simulation is carried out to illustrate the effectiveness of theoretical results. Journal: International Journal of Systems Science Pages: 2873-2887 Issue: 14 Volume: 49 Year: 2018 Month: 10 X-DOI: 10.1080/00207721.2018.1509243 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1509243 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:14:p:2873-2887 Template-Type: ReDIF-Article 1.0 Author-Name: Changchun Hua Author-X-Name-First: Changchun Author-X-Name-Last: Hua Author-Name: Lili Wu Author-X-Name-First: Lili Author-X-Name-Last: Wu Author-Name: Yu Zhang Author-X-Name-First: Yu Author-X-Name-Last: Zhang Author-Name: Yafeng Li Author-X-Name-First: Yafeng Author-X-Name-Last: Li Title: Non-smooth state feedback prescribed performance control for interconnected nonlinear systems with unmodelled dynamics Abstract: This paper investigates the problem of non-smooth state feedback control for a group of high-order p-normal form interconnected nonlinear systems with prescribed performance. Each subsystem is in the form of triangular structure with the unmodelled dynamics. With the help of appropriate Lyapunov function, a state feedback controller is constructed via backstepping method. It is strictly proved that the closed-loop system is asymptotically stable and both transient and steady-state performances of the outputs are preserved. Finally, simulation results are presented to illustrate the effectiveness of proposed method. Journal: International Journal of Systems Science Pages: 2888-2899 Issue: 14 Volume: 49 Year: 2018 Month: 10 X-DOI: 10.1080/00207721.2018.1512678 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1512678 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:14:p:2888-2899 Template-Type: ReDIF-Article 1.0 Author-Name: Lifan Li Author-X-Name-First: Lifan Author-X-Name-Last: Li Author-Name: Lina Yao Author-X-Name-First: Lina Author-X-Name-Last: Yao Title: Minimum rational entropy fault tolerant control for non-Gaussian singular stochastic distribution control systems using T-S fuzzy modelling Abstract: In this paper, a new fault diagnosis (FD) and fault tolerant control (FTC) algorithm for a non-Gaussian nonlinear singular stochastic distribution control (SDC) system is studied. The rational square-root fuzzy logic model is used to approximate the output probability density function of non-Gaussian processes and a Takagi-Sugeno (T-S) fuzzy model is employed to transform the non-Gaussian nonlinear SDC system into a fuzzy SDC system. An adaptive fuzzy fault diagnosis observer is constructed to achieve reconstruction of system state and fault. Based on the estimated fault information, the controller is reconfigured by minimising the performance index with regard to the rational entropy subjected to mean constraint. Minimum rational entropy fault tolerant control is introduced to make the output of the past-fault SDC system still have the minimum uncertainty. Simulation results are provided to demonstrate the validity of the FD and minimum rational entropy FTC algorithm. Journal: International Journal of Systems Science Pages: 2900-2911 Issue: 14 Volume: 49 Year: 2018 Month: 10 X-DOI: 10.1080/00207721.2018.1526984 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1526984 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:14:p:2900-2911 Template-Type: ReDIF-Article 1.0 Author-Name: Meng-Meng Jiang Author-X-Name-First: Meng-Meng Author-X-Name-Last: Jiang Author-Name: Kemei Zhang Author-X-Name-First: Kemei Author-X-Name-Last: Zhang Author-Name: Xue-Jun Xie Author-X-Name-First: Xue-Jun Author-X-Name-Last: Xie Title: Adaptive finite-time control of uncertain nonlinear systems with the powers of odd rational numbers Abstract: This paper studies adaptive finite-time control problem of a class of nonlinear systems with dynamic and parametric uncertainties. The power of systems in this paper is any positive odd rational number but not necessary equal to or greater than one. To solve this problem, finite-time input-to-state stability (FTISS) is used to characterise the unmeasured dynamic uncertainty. By skillfully combining Lyapunov function, sign function, adding a power integrator, adaptive control and FTISS methods, an adaptive state feedback controller is designed to drive the states to the origin in finite time while maintaining all the closed-loop signals bounded. Journal: International Journal of Systems Science Pages: 2912-2922 Issue: 14 Volume: 49 Year: 2018 Month: 10 X-DOI: 10.1080/00207721.2018.1528405 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1528405 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:14:p:2912-2922 Template-Type: ReDIF-Article 1.0 Author-Name: Jun Huang Author-X-Name-First: Jun Author-X-Name-Last: Huang Author-Name: Lei Yu Author-X-Name-First: Lei Author-X-Name-Last: Yu Author-Name: Liang Chen Author-X-Name-First: Liang Author-X-Name-Last: Chen Title: Control design for stochastic one-sided Lipschitz differential inclusion system with time delay Abstract: This paper is concerned with the control design problem for stochastic one-sided Lipschitz differential inclusion system with time delay. Different from the current works on the differential inclusion system, the nonlinear function with time delay is assumed to be one-sided Lipschitz. First, the theory of stochastic differential equation is extended to stochastic differential inclusion and the stability criterion is given. Next, convex hull Lyapunov function is used to construct the nonlinear controllers, and the sufficient conditions for stability are derived by a set of bilinear matrix inequalities. Finally, three simulation examples are provided to verify the validity of the designed controllers. Journal: International Journal of Systems Science Pages: 2923-2939 Issue: 14 Volume: 49 Year: 2018 Month: 10 X-DOI: 10.1080/00207721.2018.1528406 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1528406 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:14:p:2923-2939 Template-Type: ReDIF-Article 1.0 Author-Name: Baolong Zhu Author-X-Name-First: Baolong Author-X-Name-Last: Zhu Author-Name: Jie Ma Author-X-Name-First: Jie Author-X-Name-Last: Ma Author-Name: Zhiping Zhang Author-X-Name-First: Zhiping Author-X-Name-Last: Zhang Author-Name: Hui Feng Author-X-Name-First: Hui Author-X-Name-Last: Feng Author-Name: Shunli Li Author-X-Name-First: Shunli Author-X-Name-Last: Li Title: Robust stability analysis and stabilisation of uncertain impulsive positive systems with time delay Abstract: This paper considers the robust stability and stabilisation of uncertain impulsive positive systems with delay in state. The robust global exponential stability criterion under ranged dwell-time is first established by employing an impulse-time-dependent copositive Lyapunov function. Extensions to the exponential stability of the considered system under constant, arbitrary, maximal and minimal dwell-time are then derived. To positively stabilise the considered system under ranged dwell-time, a method of state-feedback controller design is presented based on the derived stability condition. Several numerical examples illustrate the reduced conservatism and effectiveness of the obtained theoretical results. Journal: International Journal of Systems Science Pages: 2940-2956 Issue: 14 Volume: 49 Year: 2018 Month: 10 X-DOI: 10.1080/00207721.2018.1529254 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1529254 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:14:p:2940-2956 Template-Type: ReDIF-Article 1.0 Author-Name: Ahmed Ech-charqy Author-X-Name-First: Ahmed Author-X-Name-Last: Ech-charqy Author-Name: Mohamed Ouahi Author-X-Name-First: Mohamed Author-X-Name-Last: Ouahi Author-Name: El Houssaine Tissir Author-X-Name-First: El Houssaine Author-X-Name-Last: Tissir Title: Delay-dependent robust stability criteria for singular time-delay systems by delay-partitioning approach Abstract: In this paper, the problem of delay-dependent robust stability for singular time-delay systems is investigated. The parametric uncertainties are assumed to be norm bounded. Based on the idea of delay partitioning, A new Lyapunov–Krasovskii functional is proposed to develop new delay-dependent criteria, that ensures the considered system to be regular, impulse free and stable in terms of linear matrix inequalities. Furthermore, the Wirtinger-based integral inequality approach has been employed to derive less conservative results. Finally, some numerical examples are provided to demonstrate the effectiveness of the obtained results and for comparison with previous works. Journal: International Journal of Systems Science Pages: 2957-2967 Issue: 14 Volume: 49 Year: 2018 Month: 10 X-DOI: 10.1080/00207721.2018.1529255 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1529255 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:14:p:2957-2967 Template-Type: ReDIF-Article 1.0 Author-Name: Junlin Xiong Author-X-Name-First: Junlin Author-X-Name-Last: Xiong Author-Name: Shengyu Zhai Author-X-Name-First: Shengyu Author-X-Name-Last: Zhai Title: Interval frequency negative imaginary systems Abstract: This paper studies interval frequency negative imaginary (IFNI) systems based on minimal state-space realisations. Firstly, the concept of the IFNI transfer functions is introduced, and the relationship between the IFNI transfer functions and the interval frequency positive real transfer functions is established. Secondly, based on the generalised KYP lemma, a necessary and sufficient condition is derived for IFNI transfer functions with minimal state-space realisation in terms of linear matrix inequalities. Our results coincide with the existing negative imaginary lemma when the interval frequency set becomes the positive frequency set. Also, a time domain interpretation of the IFNI property is provided in terms of the system input, output and state. Finally, two examples are used to illustrate the developed theory. Journal: International Journal of Systems Science Pages: 2968-2980 Issue: 14 Volume: 49 Year: 2018 Month: 10 X-DOI: 10.1080/00207721.2018.1529256 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1529256 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:14:p:2968-2980 Template-Type: ReDIF-Article 1.0 Author-Name: Hang Su Author-X-Name-First: Hang Author-X-Name-Last: Su Author-Name: Weihai Zhang Author-X-Name-First: Weihai Author-X-Name-Last: Zhang Title: Adaptive fuzzy control for pure-feedback stochastic nonlinear systems with unknown dead zone outputs Abstract: This paper focuses on an adaptive fuzzy tracking control problem for a class of pure-feedback stochastic nonlinear systems with unknown dead zone outputs. To overcome the design difficulty arising from the nonlinearity in the output mechanism, the new properties of Nussbaum function are employed and an auxiliary virtual controller is constructed. The proposed adaptive fuzzy control method guarantees that all the signals in the closed-loop system are bounded in probability and the tracking error converges to a small neighbourhood of the origin in the sense of mean quartic value. Simulation results further demonstrate the effectiveness of the presented control algorithm. Journal: International Journal of Systems Science Pages: 2981-2995 Issue: 14 Volume: 49 Year: 2018 Month: 10 X-DOI: 10.1080/00207721.2018.1530397 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1530397 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:14:p:2981-2995 Template-Type: ReDIF-Article 1.0 Author-Name: J. A. Brizuela Mendoza Author-X-Name-First: J. A. Author-X-Name-Last: Brizuela Mendoza Author-Name: F. D. J. Sorcia Vázquez Author-X-Name-First: F. D. J. Author-X-Name-Last: Sorcia Vázquez Author-Name: C. H. Guzmán Valdivia Author-X-Name-First: C. H. Author-X-Name-Last: Guzmán Valdivia Author-Name: R. Osorio Sánchez Author-X-Name-First: R. Author-X-Name-Last: Osorio Sánchez Author-Name: M. Martínez García Author-X-Name-First: M. Author-X-Name-Last: Martínez García Title: Observer design for sensor and actuator fault estimation applied to polynomial LPV systems: a riderless bicycle study case Abstract: The present paper addresses an observer design for fault estimation applied to polynomial linear parameter varying (LPV) systems. The main contribution corresponds to a design to provide the estimation of both actuator and sensor faults acting on the system, modelled as additive faults taking place at any time and simultaneously, inclusively. The observer design includes a boundary factor in order to guarantee the estimation error convergence to zero despite the fault occurrence. Simulation results showing the effectiveness of the proposed observer by considering a riderless bicycle LPV model, which depends on the translational velocity of the vehicle, are provided. Journal: International Journal of Systems Science Pages: 2996-3006 Issue: 14 Volume: 49 Year: 2018 Month: 10 X-DOI: 10.1080/00207721.2018.1530398 File-URL: http://hdl.handle.net/10.1080/00207721.2018.1530398 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:49:y:2018:i:14:p:2996-3006 Template-Type: ReDIF-Article 1.0 Author-Name: Jorge Cervantes Author-X-Name-First: Jorge Author-X-Name-Last: Cervantes Author-Name: Wen Yu Author-X-Name-First: Wen Author-X-Name-Last: Yu Author-Name: Sergio Salazar Author-X-Name-First: Sergio Author-X-Name-Last: Salazar Author-Name: Isaac Chairez Author-X-Name-First: Isaac Author-X-Name-Last: Chairez Title: Time-varying output-based Takagi–Sugeno fuzzy controller of uncertain nonlinear systems Abstract: This paper proves the ultimately boundedness analysis for the trajectory tracking problem between the states of an uncertain nonlinear system represented by a Takagi–Sugeno (T–S) system and a given set of desired trajectories. The design of an output feedback controller includes a weighted contribution of the models included in the T–S design. The proposed T–S fuzzy estimates the state variables based on the output information, exclusively. The output-based controller design uses a time-dependent Lyapunov function yielding the characterisation of ultimate boundedness for the trajectory tracking error. Sufficient conditions are obtained to ensure the existence of positive-definite solutions for two coupled time-varying matrix Riccati equations, which are needed to solve the tracking problem. A simplified scheme determines the gains for the feedback controller and observer. The proposed control law solves the trajectory tracking of an autonomous underwater vehicle. In this case, numerical solutions show that the controller forced the convergence of the tracking error after 2.0 seconds. An alternative control design approach based on linear matrix inequalities (LMI) is used for comparison purposes. The suggested controller forces a faster convergence of the tracking error than the LMI-based one and provides a smaller ultimate bound. Journal: International Journal of Systems Science Pages: 1495-1510 Issue: 9 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1723732 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1723732 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:9:p:1495-1510 Template-Type: ReDIF-Article 1.0 Author-Name: Yingying Han Author-X-Name-First: Yingying Author-X-Name-Last: Han Author-Name: Shaosheng Zhou Author-X-Name-First: Shaosheng Author-X-Name-Last: Zhou Title: Performance analysis and extended dissipative controller design for Itô stochastic-delayed IT2 fuzzy models Abstract: This paper deals with the problems of stochastic asymptotic stability analysis and extended dissipativity as well as controller design for Itô stochastic-delayed IT2 fuzzy systems by using line integral type Lyapunov–Krasovskii functional (LKF). A good estimate of the upper bound for the line integral type LKF is achieved, based on which, the conditions of stochastic asymptotic stability and extended dissipativity are derived. A comparison has been drawn between the conditions derived by line integral type LKF and the ones by the quadratic LKF in a numerical example, to indicate that the conditions by line integral approach are more general than the ones via quadratic method. Meanwhile, these conditions are of nonlinear form with respect to some matrix variables which makes the determination of the extended dissipative controller difficult. Inspired by cone complementarity linearisation algorithm and a novel matrix decoupling method, the state feedback controller is developed by transforming the nonlinear matrix inequalities into a quadratic optimisation problem with linear matrix inequality constraints. Finally, two examples are given to show the validity of our proposed approach. Journal: International Journal of Systems Science Pages: 1511-1527 Issue: 9 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1762258 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1762258 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:9:p:1511-1527 Template-Type: ReDIF-Article 1.0 Author-Name: Belkacem Kada Author-X-Name-First: Belkacem Author-X-Name-Last: Kada Author-Name: Ahmed S. A. Balamesh Author-X-Name-First: Ahmed S. A. Author-X-Name-Last: Balamesh Author-Name: Khalid A. Juhany Author-X-Name-First: Khalid A. Author-X-Name-Last: Juhany Author-Name: Ibraheem M. Al-Qadi Author-X-Name-First: Ibraheem M. Author-X-Name-Last: Al-Qadi Title: Distributed cooperative control for nonholonomic wheeled mobile robot systems Abstract: The purpose of this paper is two-fold. First, the smoothness of the distributed consensus control (DCC) protocols of multi-agent systems (MAS) with inherent nonlinear dynamics is investigated. Different from the traditional consensus protocols where variable structure control is considered for robust control, a continuous DCC is presented to achieve consensus tracking without control chattering. Using certain types of exponential functions, it is shown that different smooth DCC schemes can be constructed to achieve asymptotic consensus tracking with smooth control input for MAS with connected directed/undirected and fixed/switched communication topologies. Second, the formation control problem of nonholonomic wheeled mobile robots (WMR) is solved via the continuous DCC. By converting the formation problem into consensus problem using the agents’ kinematics, the formation speed-control problem in planar motion is formulated and solved. The translational and rotational speeds inputs to the WMR are computed using continuous distributed consensus protocols to reduce chattering in the control inputs of mobile robots. The distinctive feature of the proposed consensus and formation algorithms is the high tracking precision with smooth control input to agents’ dynamics. In simulation studies, different numerical examples are illustrated to demonstrate the performance and effectiveness of the proposed DCC. Journal: International Journal of Systems Science Pages: 1528-1541 Issue: 9 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1765048 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1765048 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:9:p:1528-1541 Template-Type: ReDIF-Article 1.0 Author-Name: Cungen Liu Author-X-Name-First: Cungen Author-X-Name-Last: Liu Author-Name: Huanqing Wang Author-X-Name-First: Huanqing Author-X-Name-Last: Wang Author-Name: Xiaoping Liu Author-X-Name-First: Xiaoping Author-X-Name-Last: Liu Author-Name: Yucheng Zhou Author-X-Name-First: Yucheng Author-X-Name-Last: Zhou Title: Adaptive fuzzy funnel control for nonlinear systems with input deadzone and saturation Abstract: This paper, for the first time, focuses on the problem of funnel control for strict-feedback systems with input deadzone and saturation, simultaneously. A new smooth function in non-affine form is firstly proposed to approximate the non-smooth input deadzone and saturation and transformed into an affine form by the mean-value theorem. The unknown nonlinear functions and external disturbances are estimated by fuzzy logic systems. An improved funnel error is given and embedded in the procedure of controller design. Based on the backstepping method, an adaptive fuzzy funnel controller is constructed, which guarantees that the output tracking error falls within a pre-set funnel and all the signals in the closed-loop system are semi-globally uniformly and ultimately bounded. Simulation results demonstrate the effectiveness of the developed controller. Journal: International Journal of Systems Science Pages: 1542-1555 Issue: 9 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1766153 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1766153 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:9:p:1542-1555 Template-Type: ReDIF-Article 1.0 Author-Name: Jason Sheng Hong Tsai Author-X-Name-First: Jason Sheng Hong Author-X-Name-Last: Tsai Author-Name: Ya Chiu Hsu Author-X-Name-First: Ya Chiu Author-X-Name-Last: Hsu Author-Name: Hung Jen Chen Author-X-Name-First: Hung Jen Author-X-Name-Last: Chen Author-Name: Shu Mei Guo Author-X-Name-First: Shu Mei Author-X-Name-Last: Guo Author-Name: Leang-San Shieh Author-X-Name-First: Leang-San Author-X-Name-Last: Shieh Author-Name: Jose I. Canelon Author-X-Name-First: Jose I. Author-X-Name-Last: Canelon Title: PID filter-shaped optimal PI tracker, state estimator, and EID estimator for continuous-time systems Abstract: This paper proposes a proportional–integral-differential (PID) filter-shaped optimal PI tracker for on-line robust optimal tracking control of a system with unknown disturbances. The proposed optimal PI tracker consists of both a modified state estimator and the newly modified equivalent input disturbance (EID) estimator. The main contributions of this paper are: (1) The conventional EID estimator is significantly modified to improve the tracking performances of a system with unknown disturbances; and (2) The improved EID estimator can be simply regarded as a plug-in component of the compensator, to perform on-line optimal tracking control of square/non-square servo systems with unknown disturbances. Journal: International Journal of Systems Science Pages: 1556-1577 Issue: 9 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1766154 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1766154 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:9:p:1556-1577 Template-Type: ReDIF-Article 1.0 Author-Name: Xuerong Li Author-X-Name-First: Xuerong Author-X-Name-Last: Li Author-Name: Fei Han Author-X-Name-First: Fei Author-X-Name-Last: Han Author-Name: Nan Hou Author-X-Name-First: Nan Author-X-Name-Last: Hou Author-Name: Hongli Dong Author-X-Name-First: Hongli Author-X-Name-Last: Dong Author-Name: Hongjian Liu Author-X-Name-First: Hongjian Author-X-Name-Last: Liu Title: Set-membership filtering for piecewise linear systems with censored measurements under Round-Robin protocol Abstract: In this paper, the set-membership filtering problem is investigated for a class of piecewise linear systems with state constraintsand censored measurements under the Round-Robin (RR) protocol. First of all, the mode of the piecewise linear system is determined by itsstate. The noises under consideration satisfy two ellipsoid constraints. According the schedule of the RR protocol, a set of piecewise linearfilters is constructed in terms of the censored measurements transmitted through the shared network. The objective of this paper is todesign a set of filter gains such that the augmented dynamics satisfies the desirable ellipsoid constraint in the simultaneous presence of stateconstraints, censored measurements and RR protocol. A sufficient condition for the existence of piecewise linear filters is obtained and aconvex optimisation method is presented to derive the minimized ellipsoid in the sense of matrix trace. Finally, a simulation example is givento verify the effectiveness of the proposed design method. Journal: International Journal of Systems Science Pages: 1578-1588 Issue: 9 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1768453 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1768453 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:9:p:1578-1588 Template-Type: ReDIF-Article 1.0 Author-Name: Zhiguo Ding Author-X-Name-First: Zhiguo Author-X-Name-Last: Ding Author-Name: Liudong Xing Author-X-Name-First: Liudong Author-X-Name-Last: Xing Author-Name: Yuchang Mo Author-X-Name-First: Yuchang Author-X-Name-Last: Mo Title: Mapping grid based online taxi anomalous trajectory detection Abstract: This paper proposes an online taxi driving anomalous trajectory detection framework for maintaining the city public transport civilisation. The framework consists of two parts: an offline detector building and an online trajectory detection. The former employs a popular route concept to process massive trajectory data and adapts the mapping grid-based anomaly detection method by taking into account spatial and temporal characteristics of the trajectory dataset. The latter maps ongoing trajectory points and detects whether the ongoing driving route is anomalous or reliable. The proposed trajectory anomaly detection method is faster than the existing methods as it involves only simple activities of trajectory point mapping and retrieval procedure, without requiring extra distance or density calculation. In addition, the proposed method has detection accuracy comparable to that of the existing high-performance methods. The application and efficiency of the proposed method are demonstrated using extensive experiments on real datasets. Journal: International Journal of Systems Science Pages: 1589-1603 Issue: 9 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1772397 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1772397 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:9:p:1589-1603 Template-Type: ReDIF-Article 1.0 Author-Name: Xuhuan Wang Author-X-Name-First: Xuhuan Author-X-Name-Last: Wang Author-Name: Zhengrong Xiang Author-X-Name-First: Zhengrong Author-X-Name-Last: Xiang Title: Global finite-time stabilisation for a class of nonlinear systems in the p-normal form via output feedback Abstract: In this paper, a finite-time output feedback control scheme is presented for a class of nonlinear systems in the p-normal form. The nonlinear functions in the systems are assumed to be bounded by both low-order and high-order nonlinearities multiplied by a polynomial-type output-dependent growth rate, which are able to cover a more general ones. A reduced-order observer is constructed to estimate unmeasurable states, and a finite-time output feedback controller is proposed for the considered system by constructing a new Lyapunov function and using the adding a power integration technique. Two simulation examples are given to verify the effectiveness of the proposed scheme. Journal: International Journal of Systems Science Pages: 1604-1621 Issue: 9 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1772398 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1772398 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:9:p:1604-1621 Template-Type: ReDIF-Article 1.0 Author-Name: Chenchen Fan Author-X-Name-First: Chenchen Author-X-Name-Last: Fan Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Author-Name: Xiaochen Xie Author-X-Name-First: Xiaochen Author-X-Name-Last: Xie Title: Fault detection observer design for periodic piecewise linear systems Abstract: This article deals with the problem of fault detection observer design for continuous-time periodic piecewise linear systems. Mixed $H_-/H_{\infty } $H−/H∞ performance index is introduced, which results in a trade-off between robustness to unknown input and sensitivity to a fault. Based on a class of Lyapunov functions with time-varying Lyapunov matrices, sufficient conditions are developed to investigate the existence of periodic piecewise fault detection observer with weighted $H_-/H_{\infty } $H−/H∞ performance. A tractable iterative algorithm is proposed to establish the desired periodic piecewise fault detection observer. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 1622-1636 Issue: 9 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1772399 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1772399 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:9:p:1622-1636 Template-Type: ReDIF-Article 1.0 Author-Name: Weiyang Sun Author-X-Name-First: Weiyang Author-X-Name-Last: Sun Author-Name: Zepeng Ning Author-X-Name-First: Zepeng Author-X-Name-Last: Ning Title: Quantised output-feedback design for networked control systems using semi-Markov model approach Abstract: This paper focuses on the stability analysis and controller design for a family of discrete-time linear systems with quantised signals in both control input channel and measurement output channel. Quantisation density of each quantizer is considered to be variable, and the variation is governed by a semi-Markov chain. The quantisation density can be adjusted to reduce the amount of transmitted data if the requirement of system performance allows. By constructing a quantisation-error-dependent Lyapunov function, sufficient conditions for σ-error mean-square stability of the considered system are given. With the aid of cone complementarity linearisation algorithm, a set of mode-dependent output-feedback controllers is designed to achieve the required σ-error mean-square stability of the closed-loop system. Finally, a numerical example is provided to illustrate the validity of the proposed control method. Journal: International Journal of Systems Science Pages: 1637-1652 Issue: 9 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1772400 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1772400 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:9:p:1637-1652 Template-Type: ReDIF-Article 1.0 Author-Name: Magdi S. Mahmoud Author-X-Name-First: Magdi S. Author-X-Name-Last: Mahmoud Author-Name: Mutaz M. Hamdan Author-X-Name-First: Mutaz M. Author-X-Name-Last: Hamdan Author-Name: Uthman A. Baroudi Author-X-Name-First: Uthman A. Author-X-Name-Last: Baroudi Title: Secure control of cyber physical systems subject to stochastic distributed DoS and deception attacks Abstract: Cyber Physical Systems (CPS) such as power plants, water desalination utilities are just a few examples of systems that may come under stealth attacks. These attacks can threaten the proper operations of such systems without any indication. This problem necessitates the design of a control system that is able to work under such attacks. In this paper, an improved observer-based stabilising controller is proposed for CPS including random measurements and actuation delays and it is coming under distributed denial of service (DDoS) and deception attacks. The occurrences of DDoS and deception attacks are modelled as Bernoulli distributed white sequences with variable conditional probabilities. The criterion is presented in terms of linear matrix inequalities. Detailed simulation experiments on representative systems are shown to prove the applicability of the proposed methodology. Journal: International Journal of Systems Science Pages: 1653-1668 Issue: 9 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1772402 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1772402 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:9:p:1653-1668 Template-Type: ReDIF-Article 1.0 Author-Name: Ting Cui Author-X-Name-First: Ting Author-X-Name-Last: Cui Author-Name: Feng Ding Author-X-Name-First: Feng Author-X-Name-Last: Ding Author-Name: Ahmed Alsaedi Author-X-Name-First: Ahmed Author-X-Name-Last: Alsaedi Author-Name: Tasawar Hayat Author-X-Name-First: Tasawar Author-X-Name-Last: Hayat Title: Data filtering-based parameter and state estimation algorithms for state-space systems disturbed by coloured noises Abstract: In this paper, the combined parameter and state estimation issues of state-space systems are considered, and the process noises and observation noises are supposed to be coloured noises. By utilising the data filtering technique, we transform the original state-space system into the filtered system for eliminating the interference of the coloured noise in the state equation, and then we derive a filtering-based extended stochastic gradient (F-ESG) algorithm to estimate the system parameters. For estimating the unmeasurable states, we derive a new state estimator by using the preceding parameter estimates to take the place of the unknown system parameters in the Kalman filter. Furthermore, we propose a filtering-based multi-innovation extended stochastic gradient (F-MI-ESG) algorithm to achieve the higher parameter estimation accuracy. Finally, we provide two simulation examples to test and compare the performance of the proposed algorithms. The simulation results indicate that the F-ESG algorithm and the F-MI-ESG algorithm are effective for parameter estimation, and that the F-MI-ESG algorithm is able to achieve more accurate parameter estimates than the F-ESG algorithm. Journal: International Journal of Systems Science Pages: 1669-1684 Issue: 9 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1772403 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1772403 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:9:p:1669-1684 Template-Type: ReDIF-Article 1.0 Author-Name: Zahra Yaghoubi Author-X-Name-First: Zahra Author-X-Name-Last: Yaghoubi Author-Name: Heidar Ali Talebi Author-X-Name-First: Heidar Ali Author-X-Name-Last: Talebi Title: Cluster consensus of fractional-order non-linear multi-agent systems with switching topology and time-delays via impulsive control Abstract: In this paper, a cluster consensus problem for fractional-order nonlinear multi-agent systems with fixed and switching topologies and time delays is considered. The problem is solved in three cases: (i) fixed topology and time delays, (ii) switching topology, and (iii) switching topology and time delays. Cluster consensus is achieved for fractional-order multi-agent systems by using the impulsive control method. Cluster consensus algorithms are studied by using Mittag–Leffler stability and the fractional Lyapunov direct method and some sufficient conditions are obtained to achieve cluster consensus of fractional-order multi-agent systems with nonlinear dynamics under switching topologies and time delays. Finally, simulation results are presented to show the validity of the proposed control strategies. Journal: International Journal of Systems Science Pages: 1685-1698 Issue: 10 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1772404 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1772404 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:10:p:1685-1698 Template-Type: ReDIF-Article 1.0 Author-Name: Rayalla Ranganayakulu Author-X-Name-First: Rayalla Author-X-Name-Last: Ranganayakulu Author-Name: Ambati Seshagiri Rao Author-X-Name-First: Ambati Author-X-Name-Last: Seshagiri Rao Author-Name: Gara Uday Bhaskar Babu Author-X-Name-First: Gara Author-X-Name-Last: Uday Bhaskar Babu Title: Analytical design of fractional IMC filter – PID control strategy for performance enhancement of cascade control systems Abstract: The cascade control is widely used in chemical industries for disturbance attenuation as an alternative to a single feedback loop. This article presents an internal model control (IMC)-based series cascade control system for different time delay process models. The novelty of the work lies in the use of fractional order IMC filter of the first order and higher order for designing controller in the outer loop based on specific maximum sensitivity. The design also considers different approximations for the time delay term. The controller designed for the inner loop assumes the standard PID controller structure and the outer loop controller takes a fractional filter PID structure. The proposed method gives improved performance for set point tracking and disturbance rejection. Further, the proposed method gives robust performance for noise in the measured signal. Also, the robustness analysis is performed to know the insensitivity of the closed-loop system for process parameter variations. The fragility of the controller is investigated for perturbations in the controller parameters. Journal: International Journal of Systems Science Pages: 1699-1713 Issue: 10 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1773571 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1773571 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:10:p:1699-1713 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaojie Huang Author-X-Name-First: Xiaojie Author-X-Name-Last: Huang Author-Name: Yuechao Ma Author-X-Name-First: Yuechao Author-X-Name-Last: Ma Title: Sampled-data sliding mode exponential synchronisation of Master–Slave Markovian jump complex networks with nonlinear perturbation Abstract: This paper investigates the exponential synchronization of Master–Slave Markovian jump complex networks with nonlinear perturbation via a sampled-data sliding mode control. First introduce an improved LKF and fully consider the sampling process information in LKF. Designing an integral sliding mode surface and obtaining the equivalent controller, combined with the efficient integral inequality and the free weighting matrix, the criterion for synchronising the sampling network with the sampling sliding mode index is obtained. Then prove the accessibility of the nodes of the system on the sliding surface. Finally, the correctness and practical application performance of the obtained theorem are verified by numerical simulation examples. Journal: International Journal of Systems Science Pages: 1714-1732 Issue: 10 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1773957 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1773957 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:10:p:1714-1732 Template-Type: ReDIF-Article 1.0 Author-Name: Ehsan Majma Author-X-Name-First: Ehsan Author-X-Name-Last: Majma Author-Name: Mohammad Saleh Tavazoei Author-X-Name-First: Mohammad Saleh Author-X-Name-Last: Tavazoei Title: Properties of the stability boundary in linear distributed-order systems Abstract: This paper mainly focuses on some behaviours of the bounded input-bounded output (BIBO) stability boundary in the linear distributed-order system (LDOS). Finding an association between changes of weight functions of LDOS and variation of its BIBO stability boundary is the other aim of this paper. To achieve these goals, the tangential lines of the BIBO stability boundary for the extremely high and low frequencies are founded in the first step. Then, the additive identity and the multiplicative identity for the weight function maintaining the stability boundary intact are determined. In addition, it is proved that multiplying a set of multiplication factors in the form of polynomials to the weight functions would guarantee the increment of the stability region. To validate the presented results, comparisons among the stability boundary of several different LDOS are performed. Simulation outcomes are in agreement with the extracted results. Journal: International Journal of Systems Science Pages: 1733-1743 Issue: 10 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1773959 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1773959 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:10:p:1733-1743 Template-Type: ReDIF-Article 1.0 Author-Name: Xiuyang Zhou Author-X-Name-First: Xiuyang Author-X-Name-Last: Zhou Author-Name: Yun Chen Author-X-Name-First: Yun Author-X-Name-Last: Chen Author-Name: Qian Wang Author-X-Name-First: Qian Author-X-Name-Last: Wang Author-Name: Keqin Zhang Author-X-Name-First: Keqin Author-X-Name-Last: Zhang Author-Name: Anke Xue Author-X-Name-First: Anke Author-X-Name-Last: Xue Title: Event-triggered finite-time H∞ control of networked state-saturated switched systems Abstract: This paper is concerned with the event-based finite-time $H_\infty $H∞ control problem for a class of networked state-saturated switched systems subject to time delays, nonlinear perturbations and exogenous disturbances. The event-triggered transmission protocol is introduced to schedule the data transmission and so the communication network burdens can be mitigated. The state saturation restraints can be removed by means of transforming the original model into a new polyhedron system via a convex hull description approach. By considering two coupling cases between the mode switching signal and the event triggering signal, the sufficient finite-time $H_\infty $H∞ performance analysis criterion is provided based on average dwell time (ADT) analysis technique. Then, an event-triggered state-feedback controller is designed to ensure that the closed-loop system is finite-time bounded and satisfies the specified $H_\infty $H∞ disturbance attenuation performance. The desired controller can be obtained by solving a set of convex optimisation problems. Finally, a numerical example shows the usefulness of the theoretical results. Journal: International Journal of Systems Science Pages: 1744-1758 Issue: 10 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1777344 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1777344 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:10:p:1744-1758 Template-Type: ReDIF-Article 1.0 Author-Name: Chaouki Aouiti Author-X-Name-First: Chaouki Author-X-Name-Last: Aouiti Author-Name: Farah Dridi Author-X-Name-First: Farah Author-X-Name-Last: Dridi Title: Weighted pseudo almost automorphic solutions for neutral type fuzzy cellular neural networks with mixed delays and D operator in Clifford algebra Abstract: The main aim of this work is to study a class of neutral type Fuzzy Cellular Neural Networks (FCNNs) with mixed delays and D operator. New criteria are established for the existence, uniqueness and global exponential stability of weighted pseudo almost automorphic solutions for the addressed model in Clifford algebra. Our approach is based on Banach's fixed point principle and differential inequality techniques. Finally, numerical example is given to demonstrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 1759-1781 Issue: 10 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1777345 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1777345 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:10:p:1759-1781 Template-Type: ReDIF-Article 1.0 Author-Name: Xuechao Qiu Author-X-Name-First: Xuechao Author-X-Name-Last: Qiu Author-Name: Changchun Hua Author-X-Name-First: Changchun Author-X-Name-Last: Hua Author-Name: Jiannan Chen Author-X-Name-First: Jiannan Author-X-Name-Last: Chen Author-Name: Liuliu Zhang Author-X-Name-First: Liuliu Author-X-Name-Last: Zhang Author-Name: Xinping Guan Author-X-Name-First: Xinping Author-X-Name-Last: Guan Title: Model-free adaptive iterative sliding mode control for a robotic exoskeleton trajectory tracking system Abstract: This paper is devoted to the tracking control problem for a robotic exoskeleton with the model-free adaptive iterative sliding mode control (MFAISMC) approach. Firstly, the dynamical model of exoskeleton is converted into a linear discrete model by compact form dynamic linearisation (CFDL) with iteration method. Then, based on the linear model, an MFAISMC algorithm is proposed to control the system tracking the desired time-varying trajectories, which just depends on the iterative input and output data of each joint of the exoskeleton. It is proved that the convergence of both tracking error and time-varying parameters can be guaranteed with the increasing iterative numbers. Finally, the effectiveness and superiority of the presented method are verified by related simulation results. Journal: International Journal of Systems Science Pages: 1782-1797 Issue: 10 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1778114 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1778114 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:10:p:1782-1797 Template-Type: ReDIF-Article 1.0 Author-Name: Teng Niu Author-X-Name-First: Teng Author-X-Name-Last: Niu Author-Name: Jingang Zhai Author-X-Name-First: Jingang Author-X-Name-Last: Zhai Author-Name: Hongchao Yin Author-X-Name-First: Hongchao Author-X-Name-Last: Yin Author-Name: Enmin Feng Author-X-Name-First: Enmin Author-X-Name-Last: Feng Author-Name: Chongyang Liu Author-X-Name-First: Chongyang Author-X-Name-Last: Liu Author-Name: Zhilong Xiu Author-X-Name-First: Zhilong Author-X-Name-Last: Xiu Title: Multi-objective optimisation of nonlinear switched systems in uncoupled fed-batch fermentation Abstract: Maximising yield and minimising time are two top priorities for biotechnological industry. In this paper, we model the 1,3-PD uncoupled fed-batch fermentation process with a 10-dimensional nonlinear switched system. By taking both maximising 1,3-PD concentration and minimising the terminal time of fermentation as the objectives, we propose a multi-objective optimisation problem with the flow rates of glycerol and alkali, the switched times among four modes and the mode sequence as the decision variables. To solve the multi-objective optimisation problem, we use the convex weighted sum to transcribe the multi-objective optimisation problem into a sequence of single-objective optimisation problems. Then the time-scaling transformation, the binary relaxation approach and the exact penalty method are applied to solve these single-objective optimisation problems. The numerical results show that, by optimising the flow rates of glycerol and alkali, the switched times among four modes and the mode sequence, the optimum fed-batch time and the higher 1,3-PD concentration can be obtained. The obtained numerical results can provide reference for the actual fermentation experiment. Journal: International Journal of Systems Science Pages: 1798-1813 Issue: 10 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1780338 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1780338 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:10:p:1798-1813 Template-Type: ReDIF-Article 1.0 Author-Name: Mingchu Xu Author-X-Name-First: Mingchu Author-X-Name-Last: Xu Author-Name: Zhen Xu Author-X-Name-First: Zhen Author-X-Name-Last: Xu Title: Stabilisation of T-S fuzzy systems with mixed time delays Abstract: In this paper, the problem of T-S fuzzy systems with mixed time delays is considered. A new Lyapunov function is designed by employing a switching idea, which depends on both integral variables and membership functions. Thus, the information of the time derivative of membership functions can also be used. Compared with the existing results without the information of membership function, the results in this paper are less conservative. Besides, the requirement of positive qualitative of match matrix in the Lyapunov function is also relaxed. Then, a switching controller is designed to guarantee the stability of the closed-loop system. At last, two examples are given to illustrate the feasibility and validity of the design and analysis. Journal: International Journal of Systems Science Pages: 1814-1824 Issue: 10 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1780339 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1780339 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:10:p:1814-1824 Template-Type: ReDIF-Article 1.0 Author-Name: Fabio Barbieri Author-X-Name-First: Fabio Author-X-Name-Last: Barbieri Author-Name: Oswaldo L. V. Costa Author-X-Name-First: Oswaldo L. V. Author-X-Name-Last: Costa Title: A mean-field formulation for the mean-variance control of discrete-time linear systems with multiplicative noises Abstract: This paper considers the stochastic optimal control of a multi-period mean-variance trade-off performance criterion with and without constraints for discrete-time linear systems subject to multiplicative noises. We adopt a mean-field approach to tackle the problem and obtain a solution for the unconstrained case in terms of a Riccati-like difference equation. From this general result, we obtain a sufficient condition for a closed-form solution for one of the constrained problems considered in the paper. When particularised to the portfolio selection problem, we show that our results retrieve some of the results available in the literature. We conclude the paper by illustrating the obtained optimal controls with a multi-period portfolio selection problem where we minimise the sum of the mean-variance trade-off costs of a portfolio against a benchmark along the time. Journal: International Journal of Systems Science Pages: 1825-1846 Issue: 10 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1780340 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1780340 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:10:p:1825-1846 Template-Type: ReDIF-Article 1.0 Author-Name: Onur Cihan Author-X-Name-First: Onur Author-X-Name-Last: Cihan Author-Name: Mehmet Akar Author-X-Name-First: Mehmet Author-X-Name-Last: Akar Title: Multi-consensus of second-order agents in discrete-time directed networks Abstract: This paper deals with the multi-consensus problem in discrete-time directed networks with second-order agent dynamics. Necessary and sufficient conditions to ensure multi-equilibria consensus are obtained by utilising some concepts related to graph structures. It is shown that while the choice of control parameters directly affects the stability of the consensus problem, the equilibria states do not depend on them. Furthermore, the initial values of the states of the secondary layer subgraphs have no effect on the consensus equilibria of any agent in the network. A systematic method for choosing the control parameters is proposed and it is proved that this choice ensures multi-consensus of the network. Finally, illustrative examples are provided to better highlight the theoretical results. Journal: International Journal of Systems Science Pages: 1847-1861 Issue: 10 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1780341 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1780341 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:10:p:1847-1861 Template-Type: ReDIF-Article 1.0 Author-Name: Ning Xu Author-X-Name-First: Ning Author-X-Name-Last: Xu Author-Name: Yun Chen Author-X-Name-First: Yun Author-X-Name-Last: Chen Author-Name: Anke Xue Author-X-Name-First: Anke Author-X-Name-Last: Xue Author-Name: Qiang Yu Author-X-Name-First: Qiang Author-X-Name-Last: Yu Title: A new approach to stability analysis of switched systems composed of two subsystems with average dwell time switching Abstract: The problems of stability and stabilisation for switched systems with two subsystems are investigated in both nonlinear and linear cases. By proposing an improved average dwell time (ADT) scheme, some new stability conditions for the considered system are given. Those new conditions are more practical in practice than the existing ones with given conditions, and both mode-dependent ADT (MDADT) scheme and classical ADT scheme can be regarded as some special cases of the new scheme of this paper. Finally, a numerical example with comparisons to the previous results is included to show the validity of the developed techniques. Journal: International Journal of Systems Science Pages: 1862-1872 Issue: 10 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1780342 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1780342 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:10:p:1862-1872 Template-Type: ReDIF-Article 1.0 Author-Name: Dmitry V. Balandin Author-X-Name-First: Dmitry V. Author-X-Name-Last: Balandin Author-Name: Mark M. Kogan Author-X-Name-First: Mark M. Author-X-Name-Last: Kogan Title: Multi-objective robust generalised H2 control Abstract: A novel multi-objective robust control problem is studied for systems with norm-bounded structured uncertainty and robust generalised $H_2 $H2 norms as criteria. Necessary conditions for Pareto optimality are formulated from which it follows that Pareto optimal solutions are to be among optimal solutions for scalar multi-objective costs in the form of Germeyer convolution. The upper bounds of the multi-objective costs are used to compute Pareto suboptimal controllers in terms of linear matrix inequalities, while the lower bounds to estimate a ‘difference’ between Pareto suboptimal and unavailable Pareto optimal controllers. Two-criteria robust control problem for a mathematical model of the rotor rotating in active magnetic bearings is considered as an application of this theory. Journal: International Journal of Systems Science Pages: 1873-1882 Issue: 10 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1780512 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1780512 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:10:p:1873-1882 Template-Type: ReDIF-Article 1.0 Author-Name: Gholamreza Nazmara Author-X-Name-First: Gholamreza Author-X-Name-Last: Nazmara Author-Name: Mohammad Mehdi Fateh Author-X-Name-First: Mohammad Mehdi Author-X-Name-Last: Fateh Author-Name: Seyed Mohammad Ahmadi Author-X-Name-First: Seyed Mohammad Author-X-Name-Last: Ahmadi Title: Exponentially convergence for the regressor-free adaptive fuzzy impedance control of robots by gradient descent algorithm Abstract: Having the capability to estimate parametric and non-parametric uncertainties, this paper investigates a regressor-free adaptive model-reference scheme for impedance control of robotic systems interacting with an environment. Using the gradient descent algorithm for designing a fuzzy estimator makes the tune of controller’s parameters possible in different physical situations and uncertainties. Thanks to the voltage control strategy and fuzzy systems, there is no need for designers to have the knowledge of robots and actuators’ dynamics. In addition, the force feedback is not employed in the structure of control law. Using the Lyapunov-like stability analysis, not only the exponential convergence of error signal and its time derivative to zero are guaranteed in the decentralised form but also the boundedness of all signals is ensured. To confirm the efficiency of proposed control algorithm, several simulations as well as a comparison with a positioned-based impedance controller and a regressor-based adaptive impedance controller are conducted on a two-link planar robot manipulator considering a tunable desired trajectory and different stiffness of environment. Additionally, the proposed adaptive impedance controller is applied to a six degree of freedom revolute-joint manipulator to provide better evaluation. Journal: International Journal of Systems Science Pages: 1883-1904 Issue: 11 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1780513 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1780513 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:11:p:1883-1904 Template-Type: ReDIF-Article 1.0 Author-Name: Shaival Hemant Nagarsheth Author-X-Name-First: Shaival Hemant Author-X-Name-Last: Nagarsheth Author-Name: Shambhu Nath Sharma Author-X-Name-First: Shambhu Nath Author-X-Name-Last: Sharma Title: Control of non-minimum phase systems with dead time: a fractional system viewpoint Abstract: In this paper, a unified theory is proposed for the fractional control of the non-minimum phase plus dead time systems via the introduction of the fractional filter-PID control and stability inequality. More precisely, three Theorems from a fractional system-theoretic viewpoint are developed. The first Theorem deals with the controller design through the notion of generalised internal model control. That embeds the fractional filter-PID controller coupled with the unified form of the Smith predictor and the inverse compensator. The second Theorem designs a bound on the fractional filter parameter that leads to a stable feedback system. The third Theorem deals with the stability of a fractional quasi-characteristic polynomial of the commensurate order arising from the control of non-minimum phase systems with dead time. Two illustrative second-order plus dead time non-minimum phase systems are presented to test the efficacy of the resulting fractional filter-PID controller that obeys the stability bound. Controller and sensitivity performance indices for the nominal as well as mismatch cases reveal the effectiveness and robustness of the proposed method for enhanced closed-loop performance. Thus, the generalised inverse compensator, the fractional filter-PID controller and the stability inequality in corroboration with numerical simulations demonstrate the better control of non-minimum phase systems with dead time. Journal: International Journal of Systems Science Pages: 1905-1928 Issue: 11 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1780514 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1780514 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:11:p:1905-1928 Template-Type: ReDIF-Article 1.0 Author-Name: Mingjie Cai Author-X-Name-First: Mingjie Author-X-Name-Last: Cai Author-Name: Zhengrong Xiang Author-X-Name-First: Zhengrong Author-X-Name-Last: Xiang Title: Adaptive practical fast finite-time consensus protocols for multiple uncertain nonlinear mechanical systems Abstract: In this paper, we study the design of a fast finite-time consensus protocol for multiple nonlinear mechanical systems with uncertainties and disturbance. Combining the theories of finite-time control and algebraic graph, a distributed adaptive fast finite-time consensus protocol is proposed in a recursive design way. In the designed control scheme, the unknown nonlinear functions are modelled by neural networks. With the help of fast finite-time boundedness lemma, the practical finite-time consensus of the multiple mechanical systems is proved. In the end, the validity of the proposed protocol is confirmed by a numerical example of multiple manipulators. Journal: International Journal of Systems Science Pages: 1929-1944 Issue: 11 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1780515 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1780515 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:11:p:1929-1944 Template-Type: ReDIF-Article 1.0 Author-Name: Gholamreza Hesamian Author-X-Name-First: Gholamreza Author-X-Name-Last: Hesamian Author-Name: Mohamad Ghasem Akbari Author-X-Name-First: Mohamad Ghasem Author-X-Name-Last: Akbari Title: A kriging method for fuzzy spatial data Abstract: This paper extends the ordinary kriging prediction method and proposes a trend removal method for observed spatial data represented as LR-fuzzy numbers. To this end, a covariance concept was developed and discussed in the fuzzy domain. Then, a notion of semi-variogram and its empirical estimator were proposed. The proposed semi-variogram exhibited all of the characteristics of a typical semi-variogram in the fuzzy domain. A non-parametric kernel-based method was proposed to remove the trend across the fuzzy data. Some common goodness-of-fit criteria were employed to examine the performance of the proposed kriging prediction method. The proposed method was then put to test using a simulated set of fuzzy data. In order to demonstrate the applicability of this approach, it was applied to a set of pH data in the fuzzy domain to investigate the quality of groundwater. The results proved the potentials of the proposed method for the fuzzy spatial data encountered in real applications. Journal: International Journal of Systems Science Pages: 1945-1958 Issue: 11 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1781288 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1781288 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:11:p:1945-1958 Template-Type: ReDIF-Article 1.0 Author-Name: Y. R. Wang Author-X-Name-First: Y. R. Author-X-Name-Last: Wang Author-Name: C. M. Cheng Author-X-Name-First: C. M. Author-X-Name-Last: Cheng Title: Volterra series identification and its applications in structural identification of nonlinear block-oriented systems Abstract: This paper considers the identification of a Volterra system and its applications in structural identification of nonlinear block-oriented models. Any order of the Volterra output is estimated separately via multilevel excitations and optimizations. Then, each order of the Volterra kernels is estimated independently with improved accuracy. Finally, relationships between the first and the second order Volterra kernel functions of block-oriented models are exploited to determine the structures of nonlinear block-oriented systems. The simulation studies verify the effectiveness of the proposed Volterra series identification method and the structure identification method for nonlinear block-oriented systems. Journal: International Journal of Systems Science Pages: 1959-1968 Issue: 11 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1781289 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1781289 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:11:p:1959-1968 Template-Type: ReDIF-Article 1.0 Author-Name: Somayeh Hashemi Author-X-Name-First: Somayeh Author-X-Name-Last: Hashemi Author-Name: Mohammad Ali Pourmina Author-X-Name-First: Mohammad Ali Author-X-Name-Last: Pourmina Author-Name: Saleh Mobayen Author-X-Name-First: Saleh Author-X-Name-Last: Mobayen Author-Name: Mahdi R. Alagheband Author-X-Name-First: Mahdi R. Author-X-Name-Last: Alagheband Title: Design of a secure communication system between base transmitter station and mobile equipment based on finite-time chaos synchronisation Abstract: This paper proposes a chaotic secure communication system between a base transmitter station and mobile equipment. To make the chaotic keys, the Chua chaotic systems are used in the mobile equipment and base transmitter station. Chaotic oscillators are perturbed by external disturbances and parametric uncertainties. Based on the Lyapunov stability theory and the finite-time synchronisation concept, a robust terminal sliding mode controller is designed. In the first step, we aimed to achieve chaos synchronisation under external disturbances and parametric uncertainties in a finite time. In the second step, to enhance security in the communication system, a combination of the chaotic encryption method as multi-shift cipher encryption and double chaotic masking has been suggested. The simulation outcomes are presented to show the applicability and performance of the proposed method. Journal: International Journal of Systems Science Pages: 1969-1986 Issue: 11 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1781290 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1781290 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:11:p:1969-1986 Template-Type: ReDIF-Article 1.0 Author-Name: Zhen-Guo Liu Author-X-Name-First: Zhen-Guo Author-X-Name-Last: Liu Author-Name: Bing-Huan Li Author-X-Name-First: Bing-Huan Author-X-Name-Last: Li Author-Name: Ting Jiao Author-X-Name-First: Ting Author-X-Name-Last: Jiao Author-Name: Lingrong Xue Author-X-Name-First: Lingrong Author-X-Name-Last: Xue Title: Adaptive tracking control of uncertain nonlinear system with time delays, external disturbances and dead-zone input Abstract: In this work, the tracking control problem of nonlinear system which contains unknown parameters, multiple state delays, external disturbances and the dead-zone input is studied. By introducing a dynamic gain-based adaptive control strategy and employing a new Lyapunov–Krasovskii (L–K) functional, we construct an adaptive tracking controller to ensure the boundedness of all the states and guarantee the tracking error small enough. Two examples are given to verify the correctness of the control theory. Journal: International Journal of Systems Science Pages: 1987-2004 Issue: 11 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1783021 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1783021 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:11:p:1987-2004 Template-Type: ReDIF-Article 1.0 Author-Name: Chang-Hua Lien Author-X-Name-First: Chang-Hua Author-X-Name-Last: Lien Author-Name: Yi-You Hou Author-X-Name-First: Yi-You Author-X-Name-Last: Hou Author-Name: Ker-Weu Yu Author-X-Name-First: Ker-Weu Author-X-Name-Last: Yu Author-Name: Hao-Chin Chang Author-X-Name-First: Hao-Chin Author-X-Name-Last: Chang Title: Aperiodic sampled-data robust H∞ control of uncertain continuous switched time-delay systems with novel synchronous switching signal selection Abstract: In this paper, the robust sampled-data input H∞ control of uncertain continuous switched time-delay systems with linear fractional perturbations and aperiodic sampling is considered. Some delay-dependent LMI optimisation results are proposed to achieve the design of robust controller for switched system with switching signal selection and arbitrary switching. Practical implementation of the proposed synchronous switching of switching signal and sampled-data input is easy and available. Finally, some numerical examples are illustrated to show the main results. Journal: International Journal of Systems Science Pages: 2005-2024 Issue: 11 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1783022 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1783022 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:11:p:2005-2024 Template-Type: ReDIF-Article 1.0 Author-Name: Yang Fei Author-X-Name-First: Yang Author-X-Name-Last: Fei Author-Name: Peng Shi Author-X-Name-First: Peng Author-X-Name-Last: Shi Author-Name: Cheng-Chew Lim Author-X-Name-First: Cheng-Chew Author-X-Name-Last: Lim Title: Neural network adaptive dynamic sliding mode formation control of multi-agent systems Abstract: This paper considers the problem of achieving time-varying formation for second-order multi-agent systems with actuator hysteresis, unknown system dynamics and external disturbances. A novel adaptive dynamic sliding mode scheme is developed to control a group of agents to follow desired trajectories. First, a dynamic sliding mode approach based on local formation tracking error is utilised to reject external disturbances and obtain smooth and chattering-free control input. Then, Chebyshev neural network is employed to estimate the nonlinear function related to the system's dynamic equation. A smooth projection law is also applied to regulate the output of the neural network. Moreover, a Bouc–Wen hysteresis compensator has been added to the current control law to offset the known actuator hysteresis effect. Finally, a numerical simulation based on a multiple omni-directional robot system is presented to illustrate the performance of the proposed control law. Journal: International Journal of Systems Science Pages: 2025-2040 Issue: 11 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1783385 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1783385 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:11:p:2025-2040 Template-Type: ReDIF-Article 1.0 Author-Name: F. Ait Oumeziane Author-X-Name-First: F. Author-X-Name-Last: Ait Oumeziane Author-Name: R. Kara Author-X-Name-First: R. Author-X-Name-Last: Kara Author-Name: S. Amari Author-X-Name-First: S. Author-X-Name-Last: Amari Title: Formal analysis and control of timed automata with guards using (max, +) and (min, +) algebras Abstract: This paper has introduced new formal approaches to model behaviours and control of a class of uncertain timed discrete event systems represented by Timed Automata with Guards (TAGs). We propose alternative representations for Timed Automata with Guards which approximate their dynamics, since only extremal behaviours are considered. More precisely, recursive equations are proposed in $(\max ,+) $(max,+) and $(\min , +) $(min,+) algebras to describe the worst and the optimistic behaviours. Thereafter, these developed linear models are used to treat a control problem of TAGs. Finally, the proposed methodologies are illustrated by a realistic study case that corresponds to a job-shop system. Journal: International Journal of Systems Science Pages: 2041-2056 Issue: 11 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1783590 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1783590 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:11:p:2041-2056 Template-Type: ReDIF-Article 1.0 Author-Name: Changchun Hua Author-X-Name-First: Changchun Author-X-Name-Last: Hua Author-Name: Yunfei Qiu Author-X-Name-First: Yunfei Author-X-Name-Last: Qiu Author-Name: Xinping Guan Author-X-Name-First: Xinping Author-X-Name-Last: Guan Title: Enhanced model-free adaptive iterative learning control with load disturbance and data dropout Abstract: In this paper, an enhanced model-free adaptive iterative learning control (EMFAILC) method is proposed, which is applied for a class of nonlinear discrete-time systems with load disturbance and random data dropout. This method is a data-driven control strategy and only the I/O data are required for the controller design. Data are lost at every time instance and iteration instance independently, which allows successive data dropout both in time and iterative axes. By compensating the missing data, the proposed EMFAILC algorithm can track the desired time-varying trajectory. The convergence and effectiveness of the proposed approach are verified by both the rigorous mathematical analysis and the simulation results. Journal: International Journal of Systems Science Pages: 2057-2067 Issue: 11 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1784492 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1784492 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:11:p:2057-2067 Template-Type: ReDIF-Article 1.0 Author-Name: Yufeng Tian Author-X-Name-First: Yufeng Author-X-Name-Last: Tian Author-Name: Zhanshan Wang Author-X-Name-First: Zhanshan Author-X-Name-Last: Wang Title: Extended dissipativity analysis of singular Takagi–Sugeno fuzzy systems with time delay via two improved techniques Abstract: This paper is concerned with the problem of the extended dissipativity analysis for singular Takagi–Sugeno (T–S) fuzzy system with time delay. By proposing two improved techniques, a sufficient criterion is derived in terms of linear matrix inequalities (LMIs), which ensures the considered system is admissible and extended dissipative. Compared with some existing works, an unnecessary constraint on Lyapunov matrix is relaxed. A numerical example is illustrated to show the effectiveness of the proposed result. Journal: International Journal of Systems Science Pages: 2068-2078 Issue: 11 Volume: 51 Year: 2020 Month: 7 X-DOI: 10.1080/00207721.2020.1784494 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1784494 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:11:p:2068-2078 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaoxia Huang Author-X-Name-First: Xiaoxia Author-X-Name-Last: Huang Author-Name: Hao Di Author-X-Name-First: Hao Author-X-Name-Last: Di Title: Uncertain portfolio selection with mental accounts Abstract: Since the security market is so complex, in real life, there are situations where the future security returns cannot be reflected by the past data and are given by experts' estimations according to their knowledge and judgement rather than by historical data. This paper discusses a portfolio selection problem in such an uncertain environment. In the paper, in order to reflect different attitudes towards risk that vary by goal in one portfolio investment, we apply mental account to the investment. Using uncertainty theory, we propose a new mean–variance uncertain portfolio selection model with mental accounts. Furthermore, we discuss the shape of the mean–standard deviation efficient frontier of the subportfolios of each mental account when security returns are normal uncertain variables and further give the condition where the optimal aggregate portfolio is on the mean–standard deviation efficient frontier. In addition, we compare the optimal portfolio with mental accounts with that without mental accounts. Finally, a numerical example is given as an illustration. Journal: International Journal of Systems Science Pages: 2079-2090 Issue: 12 Volume: 51 Year: 2020 Month: 9 X-DOI: 10.1080/00207721.2019.1648706 File-URL: http://hdl.handle.net/10.1080/00207721.2019.1648706 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:12:p:2079-2090 Template-Type: ReDIF-Article 1.0 Author-Name: K. D. Do Author-X-Name-First: K. D. Author-X-Name-Last: Do Title: Boundary tracking control of flexible beams for transferring motions Abstract: Although flexible beams for transmitting both translational and rotational large motions are used in practice such as ocean drill pipes, their control has not been considered. This paper develops boundary feedback controllers to stabilise these beams at their reference configurations. Exact nonlinear partial differential equations governing motion of the beams in three-dimensional space are derived and used in the control design. The designed controllers guarantee globally practically asymptotically stability of the beam motions at the reference states (i.e. positions and rotations of a straight beam moving axially with a desired velocity and rotating around its axial axis with a desired velocity). In the control design and analysis of well-posedness and stability, we utilise different transformations between the earth-fixed and body-fixed coordinates, Sobolev embeddings, and a Lyapunov-type theorem developed for a class of evolution systems in Hilbert space. Simulation results are also included to illustrate the effectiveness of the proposed control design. Journal: International Journal of Systems Science Pages: 2091-2114 Issue: 12 Volume: 51 Year: 2020 Month: 9 X-DOI: 10.1080/00207721.2020.1772401 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1772401 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:12:p:2091-2114 Template-Type: ReDIF-Article 1.0 Author-Name: Guangjun Shen Author-X-Name-First: Guangjun Author-X-Name-Last: Shen Author-Name: Ruidong Xiao Author-X-Name-First: Ruidong Author-X-Name-Last: Xiao Author-Name: Xiuwei Yin Author-X-Name-First: Xiuwei Author-X-Name-Last: Yin Title: Averaging principle and stability of hybrid stochastic fractional differential equations driven by Lévy noise Abstract: Stability of stochastic differential equations driven by Lévy noise with Markovian switching has recently received a lot of attention. Different from the integer-order stochastic differential equations, stochastic fractional differential equations play a circular role in describing many practical processes and systems. In this paper, our aims are to study the averaging principle of the solution of hybrid stochastic fractional differential equations driven by Lévy noise under non-Lipschitz conditions which include classical Lipschitz conditions as special cases and propose several sufficient conditions for asymptotic stability in the pth moment of the solution. Two examples with numerical simulation are given to illustrate the obtained theory. Journal: International Journal of Systems Science Pages: 2115-2133 Issue: 12 Volume: 51 Year: 2020 Month: 9 X-DOI: 10.1080/00207721.2020.1784493 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1784493 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:12:p:2115-2133 Template-Type: ReDIF-Article 1.0 Author-Name: Zhao-Hong Wang Author-X-Name-First: Zhao-Hong Author-X-Name-Last: Wang Author-Name: Yao-Lin Jiang Author-X-Name-First: Yao-Lin Author-X-Name-Last: Jiang Author-Name: Kang-Li Xu Author-X-Name-First: Kang-Li Author-X-Name-Last: Xu Title: Time domain and frequency domain model order reduction for discrete time-delay systems Abstract: This paper explores model order reduction (MOR) methods for discrete time-delay systems in the time domain and the frequency domain. First, the discrete time-delay system is expanded under discrete Laguerre polynomials, and the discrete Laguerre coefficients of the system are obtained by a matrix equation. After that, the reduced order system is obtained by using the projection matrix based on these coefficients. Theoretical analysis shows that the resulting reduced order system can preserve a certain number of discrete Laguerre coefficients of output variables in the time domain. We also derive the error bound in the time domain. Furthermore, in order to obtain the moments of the system, we approximate the transfer function of the discrete time-delay system by Taylor expansion. The basis matrices of the higher order Krylov subspace are deduced by a iterative process. Further, we prove that the reduced order system can match a desired number of moments of the original system. The error estimation is obtained in the frequency domain. Finally, two illustrative examples are given to verify the effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 2134-2149 Issue: 12 Volume: 51 Year: 2020 Month: 9 X-DOI: 10.1080/00207721.2020.1785578 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1785578 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:12:p:2134-2149 Template-Type: ReDIF-Article 1.0 Author-Name: G. Rigatos Author-X-Name-First: G. Author-X-Name-Last: Rigatos Author-Name: N. Zervos Author-X-Name-First: N. Author-X-Name-Last: Zervos Author-Name: M. Abbaszadeh Author-X-Name-First: M. Author-X-Name-Last: Abbaszadeh Author-Name: P. Siano Author-X-Name-First: P. Author-X-Name-Last: Siano Author-Name: D. Serpanos Author-X-Name-First: D. Author-X-Name-Last: Serpanos Author-Name: V. Siadimas Author-X-Name-First: V. Author-X-Name-Last: Siadimas Title: Neural networks and statistical decision making for fault diagnosis of PM linear synchronous machines Abstract: A novel fault diagnosis method that is based on neural networks and statistical decision making is proposed for Permanent Magnet Linear Synchronous Machines (PMLSM). Such a type of electric machines is widely used in traction of Maglev electric trains, in several mechatronic systems, as well as in electric power generation through wave energy conversion. First a neural network with Gauss–Hermite activation function is used for modelling the dynamics of the PMSLM. The neural network is used as the fault-free model of the PMLSM. Next, to perform fault diagnosis, the output of the neural network is compared against the output that is measured in real-time from the PMLSM, when both the NN and the electric machine receive the same input. Thus, the residuals' sequence is generated. It is proven that the sum of the squares of the residuals' vectors, being weighted by the inverse of the associated covariance matrix, is a stochastic variable (statistical test) that follows the χ2 distribution. The $96\% $96% or the $98\% $98% confidence intervals of the $\chi ^2 $χ2 distribution with degrees of freedom to be equal to the dimension of the residuals' vector provide a statistical test for inferring with a high confidence level if the PMLSM has undergone a failure or not. Journal: International Journal of Systems Science Pages: 2150-2166 Issue: 12 Volume: 51 Year: 2020 Month: 9 X-DOI: 10.1080/00207721.2020.1792579 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1792579 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:12:p:2150-2166 Template-Type: ReDIF-Article 1.0 Author-Name: Zhuoyang Du Author-X-Name-First: Zhuoyang Author-X-Name-Last: Du Author-Name: Dong Li Author-X-Name-First: Dong Author-X-Name-Last: Li Author-Name: Kaiyu Zheng Author-X-Name-First: Kaiyu Author-X-Name-Last: Zheng Author-Name: Shan Liu Author-X-Name-First: Shan Author-X-Name-Last: Liu Title: Speed profile optimisation for intelligent vehicles in dynamic traffic scenarios Abstract: In the autonomous navigation of intelligent vehicles, collision avoidance is essential for driving safety. Similar to the driving preference of human, the driving path and speed can be determined separately. This paper is concerned with speed profile optimisation problem for dynamic obstacle avoidance given the reference path. The optimisation consists of smoothness, risk, and efficiency terms with obstacle constraints. For task formulation, the s-t motion space is constructed to describe the motion of the ego vehicle and obstacles. Then the high-dimensional trajectory space is mapped to the low-dimensional s-t space for computational efficiency. The speed optimisation problem is transformed into a path searching problem considering collision avoidance and searching efficiency. RRT-based algorithm is proposed to search for the optimal speed profile in the s-t space asymptotically. In each searching step, node extension strategy is designed for the space exploring efficiency; then the tree structure is locally refined for asymptotic optimisation. The optimal speed profile is generated after the searching process converges and the speed profile is planned periodically. For performance evaluation, simulation tests in typical traffic conditions are conducted based on the SUMO (Simulation of Urban MObility) platform. Results show the effectiveness and efficiency of this method. Journal: International Journal of Systems Science Pages: 2167-2180 Issue: 12 Volume: 51 Year: 2020 Month: 9 X-DOI: 10.1080/00207721.2020.1793227 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1793227 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:12:p:2167-2180 Template-Type: ReDIF-Article 1.0 Author-Name: K. Mathiyalagan Author-X-Name-First: K. Author-X-Name-Last: Mathiyalagan Author-Name: R. Ragul Author-X-Name-First: R. Author-X-Name-Last: Ragul Author-Name: Ju H. Park Author-X-Name-First: Ju H. Author-X-Name-Last: Park Author-Name: J. Palraj Author-X-Name-First: J. Author-X-Name-Last: Palraj Title: Exponential stabilisation and dissipativity analysis of semilinear parabolic systems Abstract: In this paper, exponential stabilisation and dissipativity analysis for the scalar distributed parameter system governed by semilinear partial differential equations (PDE) are investigated. The PDE under consideration is the parabolic type with unstable dynamics and assumed to have an external disturbance and mixed boundary conditions. First, the existence and uniqueness results for the PDE are discussed using semigroup theory. Then the sufficient conditions to guarantee the exponential stability and dissipativity are obtained using the Lyapunov stability theory. Finally, the results are verified through numerical examples. Journal: International Journal of Systems Science Pages: 2181-2191 Issue: 12 Volume: 51 Year: 2020 Month: 9 X-DOI: 10.1080/00207721.2020.1793228 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1793228 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:12:p:2181-2191 Template-Type: ReDIF-Article 1.0 Author-Name: Zeyu Han Author-X-Name-First: Zeyu Author-X-Name-Last: Han Author-Name: Qiang Jia Author-X-Name-First: Qiang Author-X-Name-Last: Jia Author-Name: Wallace K. S. Tang Author-X-Name-First: Wallace K. S. Author-X-Name-Last: Tang Title: Second-order consensus in multi-agent systems with nonlinear dynamics and intermittent control Abstract: In this paper, the second-order leader-following consensus of coupled nonlinear agents with intermittent control is investigated. A subset of followers is pinned while it is assumed that the underlying digraph contains a directed spanning tree with the leader node as the root. By using multiple Lyapunov functions method and algebraic graph theory, it is proved that second-order consensus is guaranteed by choosing the control and rest durations appropriately in each time interval. This result provides high flexibility in control gain design, allowing multiple switching with different gains in arbitrarily-chosen time intervals. As a result, it not only encompasses many existing intermittent control schemes but can also manage practical situations, such as recovery from occasional control failures. Numerical simulations are also given to demonstrate our theoretical results. Journal: International Journal of Systems Science Pages: 2192-2203 Issue: 12 Volume: 51 Year: 2020 Month: 9 X-DOI: 10.1080/00207721.2020.1793229 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1793229 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:12:p:2192-2203 Template-Type: ReDIF-Article 1.0 Author-Name: Shekoofeh Jafari Fesharaki Author-X-Name-First: Shekoofeh Author-X-Name-Last: Jafari Fesharaki Author-Name: Farid Sheikholeslam Author-X-Name-First: Farid Author-X-Name-Last: Sheikholeslam Author-Name: Marzieh Kamali Author-X-Name-First: Marzieh Author-X-Name-Last: Kamali Author-Name: Ali Talebi Author-X-Name-First: Ali Author-X-Name-Last: Talebi Title: Tractable robust model predictive control with adaptive sliding mode for uncertain nonlinear systems Abstract: This paper proposes a tractable robust nonlinear model predictive control for continuous-time uncertain systems with stability guaranteed. The uncertainty is considered in parameters or additive form. First, a sampled-data model predictive control for the nominal system is designed to provide the desired performance. Then, an adaptive sliding mode control is designed to recover the nominal performance for the uncertain system. By merging sampled-data model predictive control and sliding mode control in-between samples, the effect of the uncertainty is reduced efficiently. The computational complexity of the proposed robust model predictive control is the same as for the model predictive control while asymptotic stability of the closed-loop system is achieved. The simulation results illustrate the effectiveness of the proposed approaches. Journal: International Journal of Systems Science Pages: 2204-2216 Issue: 12 Volume: 51 Year: 2020 Month: 9 X-DOI: 10.1080/00207721.2020.1793230 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1793230 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:12:p:2204-2216 Template-Type: ReDIF-Article 1.0 Author-Name: Xin-Nan Zhang Author-X-Name-First: Xin-Nan Author-X-Name-Last: Zhang Author-Name: Xiao-Jian Li Author-X-Name-First: Xiao-Jian Author-X-Name-Last: Li Title: Adaptive fault-tolerant control for a class of stochastic nonlinear systems with multiple sensor faults Abstract: This paper investigates the problem of adaptive fault-tolerant control for a class of single-input and single-output nonlinear Itô stochastic systems with unknown dynamics and multiple sensor faults. Due to the partial loss of effectiveness of sensors, each measured state contains an unknown time-varying fault parameter. Then, to circumvent the main obstacle caused by the coupling of unknown fault parameters and real states, a new method of fault parameters separating of stochastic nonlinear systems is proposed. Combining with the modified backstepping design techniques, an adaptive state feedback controller is constructed recursively to estimate unknown fault parameters and guarantee the stabilisation of the stochastic system. By using quartic Lyapunov functions, it is proved that all signals of the closed-loop system are bounded in probability. Finally, simulation results are given to illustrate the effectiveness of the proposed controller design method. Journal: International Journal of Systems Science Pages: 2217-2237 Issue: 12 Volume: 51 Year: 2020 Month: 9 X-DOI: 10.1080/00207721.2020.1793231 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1793231 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:12:p:2217-2237 Template-Type: ReDIF-Article 1.0 Author-Name: Xin-Yu Ouyang Author-X-Name-First: Xin-Yu Author-X-Name-Last: Ouyang Author-Name: Li-Bing Wu Author-X-Name-First: Li-Bing Author-X-Name-Last: Wu Author-Name: Nan-Nan Zhao Author-X-Name-First: Nan-Nan Author-X-Name-Last: Zhao Author-Name: Chuang Gao Author-X-Name-First: Chuang Author-X-Name-Last: Gao Title: Event-triggered adaptive prescribed performance control for a class of pure-feedback stochastic nonlinear systems with input saturation constraints Abstract: Aiming at the tracking control problem of non-affine stochastic nonlinear systems with input saturation constraints, the event trigger control (ETC) based on Radial basic function neural networks (RBFNNs) and prescribed performance control (PPC) is considered. First, the mean value theorem is used to decouple the non-affine terms existing in the system. Second, the design process of PPC is reconstructed for a class of stochastic nonlinear systems, because the existence of stochastic disturbances has not been fully considered in previous literature on PPC, so that the system output is not to violate the set constraint bound by preset function. Finally, unlike the existing event triggering results, a special event triggering strategy is designed, which further takes into account the error between the preset function and the system output and the errors in all states of stochastic nonlinear systems, so it is expected that the amount of communications will be further reduced. Also, the proposed adaptive PPC scheme with event triggering mechanism can guarantee that all closed-loop signals are uniformly ultimately bounded (UUB) in probability within the appropriate compact sets. Finally, the effectiveness of the proposed method is verified by a practical example. Journal: International Journal of Systems Science Pages: 2238-2257 Issue: 12 Volume: 51 Year: 2020 Month: 9 X-DOI: 10.1080/00207721.2020.1793232 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1793232 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:12:p:2238-2257 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaofeng Li Author-X-Name-First: Xiaofeng Author-X-Name-Last: Li Author-Name: Lizhen Li Author-X-Name-First: Lizhen Author-X-Name-Last: Li Author-Name: Shuxia Ye Author-X-Name-First: Shuxia Author-X-Name-Last: Ye Title: H∞ fault detection for 2-D T–S discrete stochastic fuzzy systems Abstract: This paper is concerned with $H_\infty $H∞ fault detection (FD) problem for a class of two-dimensional (2-D) Takagi–Sugeno (T–S) discrete stochastic fuzzy systems. Based on the parallel distributed compensation (PDC), the fuzzy FD filter and the dynamics of FD system are constructed. Since the multiplicative property of the FD system would drastically increase the number of the stability conditions, a method of decoupling based on dimension expansion is used. By decoupling, the number of LMI-based stability conditions is reduced to r from $r^2 $r2 by the conventional method. Then, the fuzzy FD filter is designed. The corresponding fuzzy FD system is proved to be mean-square asymptotically stable and satisfies the $H_\infty $H∞ attenuation level for all disturbances. In addition, a theorem is proposed to prove that the stability conditions based on decoupling method are equivalent to those of conventional method. Finally, simulation examples are provided to demonstrate the usefulness of the proposed design methods. Journal: International Journal of Systems Science Pages: 2258-2275 Issue: 12 Volume: 51 Year: 2020 Month: 9 X-DOI: 10.1080/00207721.2020.1793233 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1793233 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:12:p:2258-2275 Template-Type: ReDIF-Article 1.0 Author-Name: Jian Liu Author-X-Name-First: Jian Author-X-Name-Last: Liu Author-Name: Xiaoe Ruan Author-X-Name-First: Xiaoe Author-X-Name-Last: Ruan Author-Name: Qiang Zhang Author-X-Name-First: Qiang Author-X-Name-Last: Zhang Title: A joint control protocol for a class of uncertain nonlinear systems with iteration-varying trial length Abstract: This paper considers control protocol design for a class of discrete-time uncertain nonlinear systems with random iteration-varying trial length (RIVTL), where the input–output coupling parameter (IOCP) and the gain matrix of the system input are assumed to be unknown. Firstly, we prove that the control system either has complete learning ability or has no learning ability. And the learning ability is merely dependent on the IOCP. Secondly, by using the repetitiveness of the control system, a data-based observer is proposed to overcome the obstacle arising from the unknown IOCP and the unknown input matrix. Thirdly, a discrete-type random step function is utilised to model the RIVTL. Then, we develop a joint control protocol that is composed of a successive iterative learning scheme and a current state feedback, where iterative learning part is used to guarantee the convergence and state feedback part is used to improve the transient tracking performance. Finally, an example is delivered to validate the effectiveness of the findings. Journal: International Journal of Systems Science Pages: 2276-2292 Issue: 12 Volume: 51 Year: 2020 Month: 9 X-DOI: 10.1080/00207721.2020.1793234 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1793234 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:12:p:2276-2292 Template-Type: ReDIF-Article 1.0 Author-Name: Yan Liu Author-X-Name-First: Yan Author-X-Name-Last: Liu Author-Name: Dongmei Xie Author-X-Name-First: Dongmei Author-X-Name-Last: Xie Author-Name: Lin Shi Author-X-Name-First: Lin Author-X-Name-Last: Shi Title: Consensus of general linear multi-agent systems with intermittent communications Abstract: This paper studies the consensus of continuous-time/discrete-time general linear multi-agent systems (MASs) with intermittent communications under a directed graph, respectively. By using algebraic graph theory and matrix theory, the equivalence between stabilisation and simultaneous stabilisation is analysed under different agents' dynamics (continuous-time or discrete-time) and network topology (undirected or directed graph). Simultaneously, we give the design methods of control gain matrices and weights. Then, by the average dwell time method of switched system theory, some sufficient consensus criteria for continuous-time/discrete-time general linear MASs are established, respectively. Finally, numerical examples are provided to verify the effectiveness of our results. Journal: International Journal of Systems Science Pages: 2293-2305 Issue: 12 Volume: 51 Year: 2020 Month: 9 X-DOI: 10.1080/00207721.2020.1793236 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1793236 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:12:p:2293-2305 Template-Type: ReDIF-Article 1.0 Author-Name: Chuang Gao Author-X-Name-First: Chuang Author-X-Name-Last: Gao Author-Name: Xiao-Ping Liu Author-X-Name-First: Xiao-Ping Author-X-Name-Last: Liu Author-Name: Huan-Qing Wang Author-X-Name-First: Huan-Qing Author-X-Name-Last: Wang Author-Name: Nan-Nan Zhao Author-X-Name-First: Nan-Nan Author-X-Name-Last: Zhao Author-Name: Li-Bing Wu Author-X-Name-First: Li-Bing Author-X-Name-Last: Wu Title: Adaptive neural funnel control for a class of pure-feedback nonlinear systems with event-trigger strategy Abstract: In this paper, an event-trigger-based adaptive funnel control problem is considered for a class of pure-feedback nonlinear systems. Due to the nonaffine variables existed in the virtual controls of pure-feedback systems, the implicit function theorem and mean-value theorem are adopted to guarantee the existence of the ideal virtual controls, which can be effectively approximated by neural networks. Then, a novel event-triggered control strategy is designed to consume less communication resources. The event-triggered condition depends on the amplitudes of the control input, the tracking error and a fixed threshold, which makes the control more flexible in real applications. Furthermore, the proposed control scheme ensures the transient and steady state performance for the tracking errors by constructing a funnel constraint function. Also, the stability analysis proves that all the signals of the closed-loop system are uniformly ultimately bounded. Finally, the feasibility and effectiveness of the proposed control scheme are verified through the simulation. Journal: International Journal of Systems Science Pages: 2307-2325 Issue: 13 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1793237 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1793237 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:13:p:2307-2325 Template-Type: ReDIF-Article 1.0 Author-Name: Xiushan Cai Author-X-Name-First: Xiushan Author-X-Name-Last: Cai Author-Name: Dingchao Wang Author-X-Name-First: Dingchao Author-X-Name-Last: Wang Author-Name: Jie Wu Author-X-Name-First: Jie Author-X-Name-Last: Wu Author-Name: Xisheng Zhan Author-X-Name-First: Xisheng Author-X-Name-Last: Zhan Title: ISS of predictor feedback for multi-input affine nonlinear systems with distinct input delays Abstract: We develop a predictor feedback control scheme for multi-input affine nonlinear systems with distinct input delays in each individual input channel and additive disturbances. The input-to-state stable control Lyapunov function (ISS-CLF) is used to design control laws for the delay-free affine nonlinear systems. Then, a predictor-feedback controller is constructed for this class of nonlinear systems with input delays. We establish input-to-state stability with respect to additive plant disturbances, as well as we show that the control law derives gain margin guarantees. Our proofs are based on the infinite-dimensional backstepping transformation and the construction of a Lyapunov functional. The developed method is applied to the control of vehicular traffic flow at distant bottlenecks. Journal: International Journal of Systems Science Pages: 2326-2342 Issue: 13 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1793238 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1793238 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:13:p:2326-2342 Template-Type: ReDIF-Article 1.0 Author-Name: Ronghu Chi Author-X-Name-First: Ronghu Author-X-Name-Last: Chi Author-Name: Yangchun Wei Author-X-Name-First: Yangchun Author-X-Name-Last: Wei Author-Name: Wenlong Yao Author-X-Name-First: Wenlong Author-X-Name-Last: Yao Author-Name: Jianmin Xing Author-X-Name-First: Jianmin Author-X-Name-Last: Xing Title: Observer-based data-driven iterative learning control Abstract: By considering non-repetitive uncertainties, an observer-based data-driven iterative learning control (ObDDILC) is proposed in this article for non-linear non-affine systems in the existence of non-repeatable disturbances, random initial values, and input constraints. Aiming to addressing the non-affine and non-linear characteristics of the systems, a linear data model (LDM) is constructed in iteration domain without introducing any physical interpretation but only for the purpose of the subsequent algorithm design and analysis. The iteration-varying initial values and disturbances are incorporated as a total non-repetitive uncertainty of the LDM. Both an iterative learning observer and a parameter estimator are proposed to address the total non-repetitive uncertainties and unknown parameters of the established LDM, respectively. Then, an observer-based learning control law is developed using the estimated output to compensate the impact of the non-repetitive uncertainties on the control performance, where a saturated function is employed to deal with the input constraints. The convergence of proposed ObDDILC is proved by using contraction mapping as the basic tool. All of the algorithms are designed and analysed without dependence of any model information except I/O data. The theoretical results are tested by simulations. Journal: International Journal of Systems Science Pages: 2343-2359 Issue: 13 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1793427 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1793427 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:13:p:2343-2359 Template-Type: ReDIF-Article 1.0 Author-Name: Wei Qian Author-X-Name-First: Wei Author-X-Name-Last: Qian Author-Name: Yujie Li Author-X-Name-First: Yujie Author-X-Name-Last: Li Author-Name: Yonggang Chen Author-X-Name-First: Yonggang Author-X-Name-Last: Chen Author-Name: Wei Liu Author-X-Name-First: Wei Author-X-Name-Last: Liu Title: L2-L∞ filtering for stochastic delayed systems with randomly occurring nonlinearities and sensor saturation Abstract: This work investigates L2-L∞ filtering problem for a class of stochastic systems with time-delay and randomly occurring phenomena. The purpose of the addressed problem is to design a full order filter to ensure the filtering error system is asymptotically mean-square stable with prescribed L2-L∞ performance. A novel stochastic time-delay system model is established, in which randomly occurring nonlinearities and sensor saturation phenomena are considered. Then, a novel functional containing negative definite terms is constructed to relax the constraints on the functional, and a new free-matrix-based stochastic integral inequality is also given. Meanwhile, a novel L2-L∞ performance analysis method making full use of delay information is proposed. As a result, less conservative conditions for the existence of filters are obtained, under which the L2-L∞ performance level can be achieved for the filtering error system. Numerical examples are employed to show the benefits of the proposed approach. Journal: International Journal of Systems Science Pages: 2360-2377 Issue: 13 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1794080 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1794080 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:13:p:2360-2377 Template-Type: ReDIF-Article 1.0 Author-Name: Mohammad Mahdi Saberi Author-X-Name-First: Mohammad Mahdi Author-X-Name-Last: Saberi Author-Name: Iman Zamani Author-X-Name-First: Iman Author-X-Name-Last: Zamani Title: Stability and stabilisation of switched time-varying delay systems: a multiple discontinuous Lyapunov function approach Abstract: In this paper, stability and stabilisation of switched time-varying delay systems are investigated. By developing, a multiple discontinuous Lyapunov function approach and using the mode-dependent average dwell time (MDADT) switching signal, sufficient conditions are first proposed to guarantee the exponential stability of the switched system with stable and unstable subsystems where the time-varying delay is considered in the states. Relaxed stability conditions are also obtained by using a form of the Bessel–Legendre inequality. Then stabilisation of the proposed system is presented by designing a sliding mode controller. Sufficient conditions and sufficient relaxed conditions of a reduced-order sliding mode dynamics are derived, and desired sliding surfaces in the form of linear matrix inequalities (LMIs) are also given. The obtained conditions are checked by using the combined genetic algorithm and convex programming techniques. Moreover, some numerical and practical examples are given to illustrate the effectiveness of the obtained theoretical results. Journal: International Journal of Systems Science Pages: 2378-2409 Issue: 13 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1794081 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1794081 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:13:p:2378-2409 Template-Type: ReDIF-Article 1.0 Author-Name: Kshetrimayum Lochan Author-X-Name-First: Kshetrimayum Author-X-Name-Last: Lochan Author-Name: Jay Prakash Singh Author-X-Name-First: Jay Prakash Author-X-Name-Last: Singh Author-Name: Binoy Krishna Roy Author-X-Name-First: Binoy Krishna Author-X-Name-Last: Roy Author-Name: Bidhyadhar Subudhi Author-X-Name-First: Bidhyadhar Author-X-Name-Last: Subudhi Title: Adaptive global super-twisting sliding mode control-based filter for trajectory synchronisation of two-link flexible manipulators Abstract: A projective synchronisation strategy is designed in this paper to synchronise a master manipulator having 12 states modelled using the assumed modes method and the slave manipulator with 8 states modelled using the lumped parameter method. The first objective is to design an adaptive SMC-based filter and the second objective is to design an adaptive global super-twisting sliding mode-based filter algorithm. In the first controller, a filter is designed to estimate the angular velocity errors of the master manipulator then for the second, a filter is designed to estimate the angular and link deflection velocity errors of the slave manipulator. Both the controller gains for the switching laws of the SMC are simultaneously updated online and super-twisting algorithm is designed to reduce the chattering problem. This approach is designed to reduce the time of reaching phase and to increase the robustness. The effectiveness and performances of the proposed controller are validated in MATLAB simulation environment and compared with a latest reported adaptive global SMC controller. The proposed scheme of synchronisation is found to be better than the existing controller. Journal: International Journal of Systems Science Pages: 2410-2428 Issue: 13 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1795947 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1795947 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:13:p:2410-2428 Template-Type: ReDIF-Article 1.0 Author-Name: Jingang Zhao Author-X-Name-First: Jingang Author-X-Name-Last: Zhao Author-Name: Minggang Gan Author-X-Name-First: Minggang Author-X-Name-Last: Gan Title: Finite-horizon optimal control for continuous-time uncertain nonlinear systems using reinforcement learning Abstract: This paper investigates finite-horizon optimal control problem of continuous-time uncertain nonlinear systems. The uncertainty here refers to partially unknown system dynamics. Unlike the infinite-horizon, the difficulty of finite-horizon optimal control problem is that the Hamilton–Jacobi–Bellman (HJB) equation is time-varying and must meet certain terminal boundary constraints, which brings greater challenges. At the same time, the partially unknown system dynamics have also caused additional difficulties. The main innovation of this paper is the proposed cyclic fixed-finite-horizon-based reinforcement learning algorithm to approximately solve the time-varying HJB equation. The proposed algorithm mainly consists of two phases: the data collection phase over a fixed-finite-horizon and the parameters update phase. A least-squares method is used to correlate the two phases to obtain the optimal parameters by cyclic. Finally, simulation results are given to verify the effectiveness of the proposed cyclic fixed-finite-horizon-based reinforcement learning algorithm. Journal: International Journal of Systems Science Pages: 2429-2440 Issue: 13 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1797223 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1797223 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:13:p:2429-2440 Template-Type: ReDIF-Article 1.0 Author-Name: Yanzhou Li Author-X-Name-First: Yanzhou Author-X-Name-Last: Li Author-Name: Yuanqing Wu Author-X-Name-First: Yuanqing Author-X-Name-Last: Wu Author-Name: Shenghuang He Author-X-Name-First: Shenghuang Author-X-Name-Last: He Author-Name: Yongkang Lu Author-X-Name-First: Yongkang Author-X-Name-Last: Lu Title: Leader-following consensus tracking of autonomous unmanned systems with fixed/switching topologies: an event-triggered approach Abstract: In this paper, the leader-following consensus tracking of autonomous unmanned systems with fixed/switching topologies is investigated by event-triggered approach. Based on state estimates of each follower and its neighbours, a novel event-triggered strategy that can greatly reduce the communication frequency is proposed. On the basis of M-matrix theory, an event-triggered function is designed by suitably constructing a valid Lyapunov function. The communication likes are established when the event-triggered function is satisfied. Furthermore, suppose that each topology contains a directed spanning tree, it is shown that the consensus tracking of autonomous unmanned systems can be achieved under some conditions and the dwell time is bounded by a positive threshold. Zeno behaviour is proved to be excluded in systems. Two examples are given to demonstrate the validity of the proposed approach. Journal: International Journal of Systems Science Pages: 2441-2455 Issue: 13 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1797224 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1797224 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:13:p:2441-2455 Template-Type: ReDIF-Article 1.0 Author-Name: Jintao Chen Author-X-Name-First: Jintao Author-X-Name-Last: Chen Author-Name: Zongying Shi Author-X-Name-First: Zongying Author-X-Name-Last: Shi Author-Name: Yisheng Zhong Author-X-Name-First: Yisheng Author-X-Name-Last: Zhong Title: Robust output formation control for uncertain multi-agent systems Abstract: The robust output formation problems are considered for uncertain multi-agent systems. The dynamic of each agent is constructed by a nominal system combined with uncertainties and external disturbances. Based on the interaction topology among agents, a robust time-invariant formation controller is proposed. The designed controller consists of two parts: a nominal output feedback formation controller and a robust compensator. The nominal controller is designed to achieve the desired output formation, and the robust compensator is introduced to restrain the influence of the uncertainties and disturbances. An output formation feasible condition is proposed, and it is proven that the output formation error can be made arbitrarily small. Finally, a simulation example is provided to illustrate the obtained theoretical results. Journal: International Journal of Systems Science Pages: 2456-2470 Issue: 13 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1797225 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1797225 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:13:p:2456-2470 Template-Type: ReDIF-Article 1.0 Author-Name: Yu-Qun Han Author-X-Name-First: Yu-Qun Author-X-Name-Last: Han Title: Adaptive output-feedback tracking control for a class of nonlinear systems with input saturation: a multi-dimensional Taylor network-based approach Abstract: For the nonlinear systems with input saturation constraint, a novel MTN-based output-feedback control strategy is developed via backstepping in this paper. Firstly, an MTN-based nonlinear state observer is designed to estimate the unmeasured states. Secondly, multi-dimensional Taylor networks (MTNs) are used to deal with the unknown nonlinear functions, based on this, the procedure of the adaptive MTN output-feedback controller design is developed by combining backstepping approach and dynamic surface control technique, and then the stability of the closed-loop system is proved based on the principle of Lyapunov stability theory. Finally, the theoretical results of this paper are demonstrated by two examples. Journal: International Journal of Systems Science Pages: 2471-2482 Issue: 13 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1797226 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1797226 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:13:p:2471-2482 Template-Type: ReDIF-Article 1.0 Author-Name: Yujing Shi Author-X-Name-First: Yujing Author-X-Name-Last: Shi Author-Name: Bolei Dong Author-X-Name-First: Bolei Author-X-Name-Last: Dong Title: Observer-based output feedback synchronisation control of delayed complex dynamical networks with two-channel dynamic event-triggered schemes and quantisations Abstract: Based on a distributed state observer, the problem of output feedback synchronisation control for a class of discrete-time delayed complex dynamical networks is studied. In order to solve the energy consumption and communication constraints, dynamic event-triggered mechanisms on sensor and controller sides are proposed by introducing two internal dynamical variables, respectively. Compared with traditional static event-triggered schemes, it effectively reduces the frequency of controller and observer update. Meanwhile, the effects of quantisation occurring in both input and output channels are considered. By means of the linear matrix inequality approach, the distributed state observer and output feedback controller of delayed complex dynamical networks can be designed simultaneously. The exponentially ultimately boundedness of synchronisation errors and estimation errors of complex dynamical networks is guaranteed via the Lyapunov stability theory. Finally, the circuit realisations for the proposed dynamic event-triggered synchronisation control approach are given, and the effectiveness of the obtained theoretical results is demonstrated through the simulation. Journal: International Journal of Systems Science Pages: 2483-2499 Issue: 13 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1797227 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1797227 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:13:p:2483-2499 Template-Type: ReDIF-Article 1.0 Author-Name: José Ragot Author-X-Name-First: José Author-X-Name-Last: Ragot Title: Active mode recognition of dynamic systems Abstract: The purpose of detecting changes in the operating regime of a system is to identify abrupt changes from one regime to another. This paper proposes a new detection method which can detect regime change instants in sequential time series data. Our approach is based on a sensitivity study of a global model combining, with a multiplicative effect, local models describing the different operating modes without knowing their parameters. More precisely, the operating mode change detection indicator corresponds to the direction of the gradient of the global model of the system (i.e. including all its operating modes) with respect to the variables characterising the system. The proposed procedure is illustrated by the analysis of a dynamic system with several measurable inputs and outputs, which makes it possible to consider auto- and inter-redundancy relationships between inputs and outputs. Journal: International Journal of Systems Science Pages: 2500-2519 Issue: 13 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1797228 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1797228 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:13:p:2500-2519 Template-Type: ReDIF-Article 1.0 Author-Name: Jiaqing Xu Author-X-Name-First: Jiaqing Author-X-Name-Last: Xu Author-Name: Yurong Liu Author-X-Name-First: Yurong Author-X-Name-Last: Liu Author-Name: Ying Cui Author-X-Name-First: Ying Author-X-Name-Last: Cui Author-Name: Fuad E. Alsaadi Author-X-Name-First: Fuad E. Author-X-Name-Last: Alsaadi Author-Name: Yamin Wang Author-X-Name-First: Yamin Author-X-Name-Last: Wang Title: Stochastic containment control for a class of nonlinear multi-agent system with switched topology and mixed time-delays Abstract: In this paper, we are concerned with the problem of containment control for a class of nonlinear multi-agent system. The local dynamics under consideration is governed by a nonlinear system with time delays and white Gaussian noise. The multi-agent system consists of both leaders and followers, and the containment control protocol proposed is an interaction between the leaders and followers characterised by time-varying delays and switching topology. Under a certain assumption on the connectivity of the whole network, by constructing a Lyapunov–Krasovskii functional, and using the average dwell time approach and some new analytical techniques, the sufficient conditions are established to ensure that each follower converges in mean square to the convex hull spanned by the leaders. A numerical example is presented to illustrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 2520-2532 Issue: 13 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1797229 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1797229 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:13:p:2520-2532 Template-Type: ReDIF-Article 1.0 Author-Name: Qitian Yin Author-X-Name-First: Qitian Author-X-Name-Last: Yin Author-Name: Mao Wang Author-X-Name-First: Mao Author-X-Name-Last: Wang Author-Name: Yougao Fan Author-X-Name-First: Yougao Author-X-Name-Last: Fan Author-Name: Libin Ma Author-X-Name-First: Libin Author-X-Name-Last: Ma Author-Name: Xinyu Wang Author-X-Name-First: Xinyu Author-X-Name-Last: Wang Title: Switching tuning backstepping control of mixed switched nonseparated parameterised nonlinear systems Abstract: In this paper, a switching tuning backstepping control scheme is proposed to stabilise a class of mixed switched nonseparated parameterised nonlinear systems. First, the mixed arbitrarily switching nonlinear system consists of different structure subsystems. The subsystems contain different nonseparated parameters nonlinearly. Next, an uniform backstepping controller is designed to stabilise the nonlinear subsystems. Then, a unidirectional exploring switching tuning scheme is proposed to inject into the controller to jumping compensate the double uncertainty and unknown online. The main contribution of the paper is that the adaptive backstepping controller with the exploring switching tuning scheme stabilises the mixed arbitrarily switching nonlinear systems. The detailed simulation synthesis is finally given to exhibit the effectiveness of the proposed controller. Journal: International Journal of Systems Science Pages: 2767-2780 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1783591 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1783591 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:2767-2780 Template-Type: ReDIF-Article 1.0 Author-Name: Luyan Xu Author-X-Name-First: Luyan Author-X-Name-Last: Xu Author-Name: Chaoli Wang Author-X-Name-First: Chaoli Author-X-Name-Last: Wang Author-Name: Xuan Cai Author-X-Name-First: Xuan Author-X-Name-Last: Cai Author-Name: Yujing Xu Author-X-Name-First: Yujing Author-X-Name-Last: Xu Author-Name: Chonglin Jing Author-X-Name-First: Chonglin Author-X-Name-Last: Jing Author-Name: Longyan Hao Author-X-Name-First: Longyan Author-X-Name-Last: Hao Title: Distributed formation-containment control for multiple Euler–Lagrange systems with guaranteed performance and unknown control directions Abstract: In this paper, the distributed formation-containment (DFC) problem for multiple Euler–Lagrange Systems (ELSs) with unknown control directions is addressed under directed communication graph topology. First, a novel distributed control algorithm is proposed that all the followers nearly converge to the convex hull spanned by the leaders under a directed graph. Second, the transient and steady-state performance of the containment synchronisation errors can be achieved by adopting appropriate predefined technology. Next, a Nussbaum function is utilised to offset the uncertainty of control directions of ELSs. Finally, simulation results are discussed to illustrate the effectiveness of the theoretical analysis. Journal: International Journal of Systems Science Pages: 2781-2792 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1801884 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1801884 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:2781-2792 Template-Type: ReDIF-Article 1.0 Author-Name: Zhongguo Li Author-X-Name-First: Zhongguo Author-X-Name-Last: Li Author-Name: Zhengtao Ding Author-X-Name-First: Zhengtao Author-X-Name-Last: Ding Title: Time-varying multi-objective optimisation over switching graphs via fixed-time consensus algorithms Abstract: This paper considers distributed multi-objective optimisation problems with time-varying cost functions for network-connected multi-agent systems over switching graphs. The scalarisation approach is used to convert the problem into a weighted-sum objective. Fixed-time consensus algorithms are developed for each agent to estimate the global variables and drive all local copies of the decision vector to a consensus. The algorithm with fixed gains is first proposed, where some global information is required to choose the gains. Then, an adaptive algorithm is presented to eliminate the use of global information. The convergence of those algorithms to the Pareto solutions is established via Lyapunov theory for connected graphs. In the case of disconnected graphs, the convergence to the subsets of the Pareto fronts is studied. Simulation results are provided to demonstrate the effectiveness of the proposed algorithms. Journal: International Journal of Systems Science Pages: 2793-2806 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1801885 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1801885 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:2793-2806 Template-Type: ReDIF-Article 1.0 Author-Name: Xia Li Author-X-Name-First: Xia Author-X-Name-Last: Li Author-Name: Yungang Liu Author-X-Name-First: Yungang Author-X-Name-Last: Liu Author-Name: Fengzhong Li Author-X-Name-First: Fengzhong Author-X-Name-Last: Li Author-Name: Jian Li Author-X-Name-First: Jian Author-X-Name-Last: Li Title: Boundary stabilisation via event-triggered output-feedback for a class of 2 × 2 hyperbolic systems Abstract: This paper is devoted to the boundary stabilisation via event-triggered output-feedback for a class of $2\times 2 $2×2 hyperbolic systems. Different from the closely related works, the system parameters are spatially varying and only one boundary measurement is available for feedback, which brings essential difficulties to the analysis and synthesis of event-triggered control. To solve the problem, by using the time-varying strategy and the infinite-dimensional backstepping technique, a novel event-triggered output-feedback controller is designed for the systems. Particularly, a time-varying event-triggering mechanism, with an extra decaying signal introduced into the threshold, is determined. It is rigorously shown that the designed event-triggered controller can guarantee that all the states of the resulting closed-loop system exponentially converge to zero in the sense of $L^2 $L2 norm while no Zeno phenomenon occurs. Two simulation examples are given to illustrate the effectiveness of the established boundary control strategy. Journal: International Journal of Systems Science Pages: 2807-2819 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1802624 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1802624 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:2807-2819 Template-Type: ReDIF-Article 1.0 Author-Name: Jie Li Author-X-Name-First: Jie Author-X-Name-Last: Li Author-Name: Xiaowu Mu Author-X-Name-First: Xiaowu Author-X-Name-Last: Mu Author-Name: Ke Li Author-X-Name-First: Ke Author-X-Name-Last: Li Title: Event-triggered finite-time bounded and finite-time stability for Networked Control Systems under DoS attacks Abstract: In this paper, finite-time bounded and finite-time stability are studied for Networked Control Systems (NCSs) under Denial-of-Service (DoS) jamming attacks and event-triggered scheme with and without disturbance, respectively, in which the DoS attacks occur aperiodically. A period event-triggered sampling scheme is adopted to derive the sufficient conditions of finite-time bounded and finite-time stability. Next, the corresponding controllers are designed for NCSs. Finally, numerical simulations and practical simulations are provided to illustrate the effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 2820-2836 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1802625 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1802625 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:2820-2836 Template-Type: ReDIF-Article 1.0 Author-Name: Zhinan Peng Author-X-Name-First: Zhinan Author-X-Name-Last: Peng Author-Name: Jiangping Hu Author-X-Name-First: Jiangping Author-X-Name-Last: Hu Author-Name: Yiyi Zhao Author-X-Name-First: Yiyi Author-X-Name-Last: Zhao Author-Name: Bijoy K. Ghosh Author-X-Name-First: Bijoy K. Author-X-Name-Last: Ghosh Title: Understanding the mechanism of human–computer game: a distributed reinforcement learning perspective Abstract: In this paper, the mechanism of the human–computer game is investigated with the help of multi-agent systems (MASs) and reinforcement learning (RL). The game is formulated as a bipartite consensus problem while the interactions among humans and computers are modelled as a multi-agent system over a coopetition network. The coopetition network associated with the multi-agent system is represented by a signed graph, where positive/negative edges denote cooperative/competitive interactions. We assume the decision mechanism of the agents are model free and each agent has to make a distributed decision by learning the input and output data from himself/itself and his/its neighbours. The individual decision is developed with the neighbours' state information and a performance index function. A policy iteration (PI) algorithm is proposed to solve the Hamilton-Jacobi-Bellman equation and obtain the optimal decision strategy. Furthermore, an actor-critic neural network is adopted to approximate the performance index and the optimal decision strategy in an online manner. The simulation results are finally given to validate the proposed reinforcement learning approach. Journal: International Journal of Systems Science Pages: 2837-2848 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1803436 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1803436 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:2837-2848 Template-Type: ReDIF-Article 1.0 Author-Name: Yan Li Author-X-Name-First: Yan Author-X-Name-Last: Li Author-Name: Shuo Yuan Author-X-Name-First: Shuo Author-X-Name-Last: Yuan Author-Name: Weiyu Jiang Author-X-Name-First: Weiyu Author-X-Name-Last: Jiang Author-Name: Lingcong Nie Author-X-Name-First: Lingcong Author-X-Name-Last: Nie Author-Name: Yiwen Qi Author-X-Name-First: Yiwen Author-X-Name-Last: Qi Title: Decentralised event-triggered control for uncertain switched T–S fuzzy systems with asynchronous adaptive sampling communication Abstract: This paper investigates decentralised event-triggered $H_\infty $H∞ control for uncertain switched Takagi-Sugeno (T-S) fuzzy systems subject to asynchronous adaptive sampling communication and exogenous disturbance. A set of adaptive sampling based on distributed sensors rather than a centralised sensor is applied to measure and sample the system's local signals. Moreover, it can enable local sensors to sample and transmit measured data asynchronously. In order to reasonably distribute network resources, decentralised event-triggering mechanisms (DETMs) are utilised. Furthermore, a data buffer is used to rearrange the released data from different channels to guarantee timely data utilisation. Then, under the proposed DETMs based on adaptive sampling and data buffer, a time-delay closed-loop uncertain switched T-S fuzzy system is developed by applying a modelling method. Subsequently, by utilising the average dwell time and piecewise Lyapunov functional method, sufficient conditions are obtained to ensure that the state of closed-loop uncertain switched T-S fuzzy system is exponentially stable with an $H_\infty $H∞ performance level. For the coupling between switching instants and event-triggered instants in the system, their impact on the system is discussed in detail. Accordingly, the conditions for the co-design of state feedback controllers gains and event-triggering parameters are presented. Finally, simulations verify the proposed design approach. Journal: International Journal of Systems Science Pages: 2849-2867 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1803437 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1803437 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:2849-2867 Template-Type: ReDIF-Article 1.0 Author-Name: Tao Jiang Author-X-Name-First: Tao Author-X-Name-Last: Jiang Author-Name: Defu Lin Author-X-Name-First: Defu Author-X-Name-Last: Lin Title: Fast finite-time backstepping for helicopters under input constraints and perturbations Abstract: This work addresses the issue of trajectory tracking of helicopters under disturbances and input constraints via the proposed fast finite-time backstepping framework. Backstepping with the property of fast finite-time convergence exhibits fast transient convergence both at a distance from and at a close range of the equilibrium. Moreover, finite-time disturbance observers based on multivariable super-twisting are employed to counteract the effect of perturbations. Aiming at the adverse effect of input saturation, a novel auxiliary system is developed to avoid the singularity by transforming auxiliary variables for three times. In addition, the framework is also applied into helicopter control problem, in which thrust magnitude and thrust direction are used as intermediate control variables, connecting external translational dynamics and internal angular dynamics. A rigorous proof of finite-time stability of the closed-loop system is derived from Lyapunov theory. Finally, the effectiveness and superiority of the proposed framework are verified by comparative simulation. Journal: International Journal of Systems Science Pages: 2868-2882 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1803438 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1803438 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:2868-2882 Template-Type: ReDIF-Article 1.0 Author-Name: Qiuye Wu Author-X-Name-First: Qiuye Author-X-Name-Last: Wu Author-Name: Bo Zhao Author-X-Name-First: Bo Author-X-Name-Last: Zhao Author-Name: Derong Liu Author-X-Name-First: Derong Author-X-Name-Last: Liu Title: Adaptive dynamic programming-based decentralised control for large-scale nonlinear systems subject to mismatched interconnections with unknown time-delay Abstract: This paper addresses decentralised optimal control problems for large-scale nonlinear systems subject to mismatched interconnections with unknown time-delay by adaptive dynamic programming. To eliminate the effects of mismatched interconnections with unknown time-delay, a novel local value function is constructed to transform the decentralised control problem into an optimal control problem. A local robust observer is established to identify the bound of the unknown interconnections. Then, based on the observer-critic architecture, the decentralised optimal control policy is achieved by solving local Hamiltonian–Jacobi–Bellman equation via local policy iteration algorithm. The stability of the closed-loop large-scale nonlinear system is guaranteed to be uniformly ultimately bounded by implementing a set of decentralised control policies. Simulation examples demonstrate the effectiveness of the proposed scheme. Journal: International Journal of Systems Science Pages: 2883-2898 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1803439 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1803439 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:2883-2898 Template-Type: ReDIF-Article 1.0 Author-Name: Jung-Min Yang Author-X-Name-First: Jung-Min Author-X-Name-Last: Yang Author-Name: Dong-Eun Lee Author-X-Name-First: Dong-Eun Author-X-Name-Last: Lee Author-Name: Seong-Jin Park Author-X-Name-First: Seong-Jin Author-X-Name-Last: Park Title: Coordinated corrective control for model matching of asynchronous sequential machines Abstract: This paper proposes coordinated corrective control of input/state asynchronous sequential machines (ASMs). The states of the considered ASM are physically or logically separated to which complete observation by a single controller is impossible. A number of local dynamic controllers that have access to local states cooperate to match the stable-state behaviour of the closed-loop system to that of a reference model. We investigate reachability description of ASMs in the configuration of coordinated control and present the existence condition and design procedure for local controllers that solve the model matching problem. An illustrative example is provided to validate the proposed coordinated corrective control scheme. Journal: International Journal of Systems Science Pages: 2899-2908 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1803440 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1803440 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:2899-2908 Template-Type: ReDIF-Article 1.0 Author-Name: Qiuhong Liu Author-X-Name-First: Qiuhong Author-X-Name-Last: Liu Author-Name: Ming Liu Author-X-Name-First: Ming Author-X-Name-Last: Liu Author-Name: Yan Shi Author-X-Name-First: Yan Author-X-Name-Last: Shi Title: Neural adaptive integral sliding mode control for attitude tracking of flexible spacecraft with signal quantisation and actuator nonlinearity Abstract: This study investigates the neural adaptive integral sliding mode control for attitude tracking of flexible spacecraft, where unknown actuator nonlinearity, input quantisation and external disturbances are considered simultaneously. In this design, the hysteresis encoder–decoder scheme is employed between the controller and actuator side for signal quantisation. A quantised adaptive integral sliding mode control strategy is developed, where the neural network scheme is applied to approximate the unmeasurable rigid-flexible coupled nonlinear dynamics. The proposed control strategy can compensate for quantisation error, actuator faults, actuator dead-zone as well as external disturbances effectively, and guarantee the trajectory of the attitude tracking error converge to the equilibrium point along the designed sliding surface. Finally, a simulation example is conducted to demonstrate the validness of the developed quantised control strategy for flexible spacecraft attitude tracking problem. Journal: International Journal of Systems Science Pages: 2909-2921 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1803441 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1803441 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:2909-2921 Template-Type: ReDIF-Article 1.0 Author-Name: Juan Chen Author-X-Name-First: Juan Author-X-Name-Last: Chen Author-Name: Aleksei Tepljakov Author-X-Name-First: Aleksei Author-X-Name-Last: Tepljakov Author-Name: Eduard Petlenkov Author-X-Name-First: Eduard Author-X-Name-Last: Petlenkov Author-Name: Bo Zhuang Author-X-Name-First: Bo Author-X-Name-Last: Zhuang Title: Boundary state and output feedbacks for underactuated systems of coupled time-fractional PDEs with different space-dependent diffusivity Abstract: This paper considers the boundary stabilisation problem of an underactuated system of coupled time-fractional partial differential equations (PDEs) with different space-dependent diffusivity by state and observer-based output feedback. For this underactuated system, there are n fractional equations, and n−1 of n equations are actuated at the boundary inputs, i.e. n−1 available inputs control the entire system of n fractional equations. In other words, we do not need to control all equations. Using the backstepping mapping, the Dirichlet boundary controller is derived to enable the Mittag–Leffler stability of the closed-loop system with the aid of the Lyapunov direct method. The Mittag–Leffler convergence of designed boundary observer and output feedback stabilisation are subsequently proved. Finally, a fractional numerical example is provided to support the effectiveness of the proposed synthesis for the case when the kernel matrix PDE has not an explicit solution. Journal: International Journal of Systems Science Pages: 2922-2942 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1803442 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1803442 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:2922-2942 Template-Type: ReDIF-Article 1.0 Author-Name: Junyan Yu Author-X-Name-First: Junyan Author-X-Name-Last: Yu Author-Name: Qiongyan Yu Author-X-Name-First: Qiongyan Author-X-Name-Last: Yu Author-Name: Mei Yu Author-X-Name-First: Mei Author-X-Name-Last: Yu Author-Name: Yanping Gao Author-X-Name-First: Yanping Author-X-Name-Last: Gao Title: Scaled group consensus in multi-agent networks with high-order continuous dynamics Abstract: We investigate scaled group consensus problems of high-order multi-agent systems with directed information exchanges. As one of multiple consensus, the scaled group consensus focuses on both cooperations and competitions among multi-agent sub-networks and cooperations among agents belonging to a sub-network. Two distributed protocols are designed to solve the scaled group consensus problems. The (generalised) Routh–Hurwitz stability criterion and matrix theory are utilised to establish necessary and sufficient conditions guaranteeing the agents reaching the scaled group consensus. Finally, several simulations are presented to demonstrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 2943-2957 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1804642 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1804642 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:2943-2957 Template-Type: ReDIF-Article 1.0 Author-Name: R. Kavikumar Author-X-Name-First: R. Author-X-Name-Last: Kavikumar Author-Name: R. Sakthivel Author-X-Name-First: R. Author-X-Name-Last: Sakthivel Author-Name: O. M. Kwon Author-X-Name-First: O. M. Author-X-Name-Last: Kwon Author-Name: B. Kaviarasan Author-X-Name-First: B. Author-X-Name-Last: Kaviarasan Title: Faulty actuator-based control synthesis for interval type-2 fuzzy systems via memory state feedback approach Abstract: This study focuses on the memory state feedback control problem for a family of time delayed interval type-2 Takagi-Sugeno fuzzy systems with external disturbance and actuator faulty input. Notably, an actuator fault model is implemented in the control design. In this study, the membership functions, the premise variables of the controller and the considered plant model are chosen freely. By employing the Lyapunov–Krasovskii functional method, the linear matrix inequality approach and the Abel lemma-based finite sum inequality, a set of sufficient conditions that guarantees the stability of the considered system is obtained via the extended passivity performance index. The developed theoretical results are validated with an artificial example and an application-oriented example. Journal: International Journal of Systems Science Pages: 2958-2981 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1804643 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1804643 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:2958-2981 Template-Type: ReDIF-Article 1.0 Author-Name: Yimin Liu Author-X-Name-First: Yimin Author-X-Name-Last: Liu Author-Name: Jianliang Chen Author-X-Name-First: Jianliang Author-X-Name-Last: Chen Author-Name: Hongjun Chu Author-X-Name-First: Hongjun Author-X-Name-Last: Chu Author-Name: Juan Li Author-X-Name-First: Juan Author-X-Name-Last: Li Title: Finite frequency fault estimation observer design for T-S Fuzzy discrete-time descriptor systems Abstract: This paper deals with the problem of $H_{\infty } $H∞ fault estimation observer design for T-S fuzzy nonlinear discrete-time descriptor systems in the finite frequency domain. First, a novel fault estimation observer for the augmented descriptor system is given. Based on Parseval's theorem and Lyapunov theory, the performance in the finite frequency domain is derived via time-domain method. Then, new sufficient conditions of admissibility and robust performance index for the dynamic error system are obtained as bilinear matrix inequalities. Meanwhile, an iterative linear matrix inequality algorithm is given to obtain the optimal solution. Finally, an example is given to demonstrate the effectiveness of our method. Journal: International Journal of Systems Science Pages: 2982-2998 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1804644 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1804644 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:2982-2998 Template-Type: ReDIF-Article 1.0 Author-Name: Lin Yang Author-X-Name-First: Lin Author-X-Name-Last: Yang Author-Name: Jun Huang Author-X-Name-First: Jun Author-X-Name-Last: Huang Author-Name: Min Zhang Author-X-Name-First: Min Author-X-Name-Last: Zhang Author-Name: Ming Yang Author-X-Name-First: Ming Author-X-Name-Last: Yang Title: Observer for differential inclusion systems with incremental quadratic constraints Abstract: This paper studies an exponential observer design method for a kind of differential inclusion systems. The set-valued term is monotone, while the nonlinear term satisfies incremental quadratic constraints. The extended-type observer framework for the system is proposed, and the existence conditions are obtained by the constraints of linear matrix inequalities and linear matrix equalities. Specially, the algorithm of computing the incremental multiplier matrix is also discussed. The availability of the proposed method is verified by three numerical examples. Journal: International Journal of Systems Science Pages: 2999-3012 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1805041 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1805041 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:2999-3012 Template-Type: ReDIF-Article 1.0 Author-Name: Ahcene Hamoudi Author-X-Name-First: Ahcene Author-X-Name-Last: Hamoudi Author-Name: Nadia Djeghali Author-X-Name-First: Nadia Author-X-Name-Last: Djeghali Author-Name: Maamar Bettayeb Author-X-Name-First: Maamar Author-X-Name-Last: Bettayeb Title: Predictor-based super-twisting sliding mode observer for synchronisation of nonlinear chaotic systems with delayed measurements Abstract: The most used configuration for chaos synchronisation is the drive-response or master–slave pattern, where the response of chaotic systems at the receiver side must track the drive chaotic trajectory at the emitter side. The synchronisation is achieved by sending, through the public channel, a suitable control signal delivered by the emitter on its output to the receiver. One of the major problems encountered in this configuration is transmission delay which can degrade the synchronisation. In this paper, we focus on the synchronisation problem of nonlinear chaotic systems in the presence of output transmission delay. In the new proposed method, the slave system is made up of a super-twisting sliding mode observer and a predictor arranged in cascade in order to compensate for the delayed transmission signal from the transmitter to the receiver. The observer estimates the delayed states and the predictor provides the estimated states at the current time. The convergence conditions of the proposed method are established. Numerical examples are given. The computer simulation results are provided to demonstrate the effectiveness of the proposed synchronisation approach. Journal: International Journal of Systems Science Pages: 3013-3029 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1806371 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1806371 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:3013-3029 Template-Type: ReDIF-Article 1.0 Author-Name: Manli Zhang Author-X-Name-First: Manli Author-X-Name-Last: Zhang Author-Name: Min Wu Author-X-Name-First: Min Author-X-Name-Last: Wu Author-Name: Luefeng Chen Author-X-Name-First: Luefeng Author-X-Name-Last: Chen Author-Name: Shengnan Tian Author-X-Name-First: Shengnan Author-X-Name-Last: Tian Author-Name: Jinhua She Author-X-Name-First: Jinhua Author-X-Name-Last: She Title: Optimisation of control and learning actions for a repetitive-control system based on Takagi–Sugeno fuzzy model Abstract: This paper deals with the problem of designing a two-dimensional (2D) modified repetitive-control system based on a Takagi–Sugeno (T-S) fuzzy model to achieve high tracking performance for a nonlinear plant. First, a nonlinear plant is represented by a T-S fuzzy model, and a modified repetitive controller with two repetitive loops is used to increases design flexibility. Next, a continuous-discrete 2D model is established to make use of the 2D characteristics in the modified repetitive-control system. Then, a sufficient stability condition is derived in terms of linear matrix inequalities. Three parameters are used to balance continuous control and discrete learning actions: one in a repetitive loop and two in a Lyapunov–Krasovskii functional. A particle swarm optimisation algorithm yields optimal parameters and the gains of the modified repetitive and state-feedback controllers. Finally, simulation and comparison results demonstrate the effectiveness of our method. Journal: International Journal of Systems Science Pages: 3030-3043 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1807651 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1807651 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:3030-3043 Template-Type: ReDIF-Article 1.0 Author-Name: Huanyang Huang Author-X-Name-First: Huanyang Author-X-Name-Last: Huang Author-Name: Min Shi Author-X-Name-First: Min Author-X-Name-Last: Shi Author-Name: Qi Xu Author-X-Name-First: Qi Author-X-Name-Last: Xu Title: Consensus-based economic dispatch algorithm in a microgrid via distributed event-triggered control Abstract: In this paper, the consensus-based approach for the economic dispatch problem in microgrid via distributed event-triggered control is considered. Its basic principle is to utilise the consensus of the multi-agent systems consisting of generators and loads, which will work cooperatively such that the optimal incremental cost and optimal power output could be obtained to solve the economic dispatch problem. The consensus analysis of the proposed systems focused on the following two physical scenarios: (i) containing the power balance constraint but without generation limit; (ii) the power balance constraint and with generation limit. The corresponding effective distributed event-triggered controller is designed respectively to avoid the continuous communication between the agents, the state updating of each agent depending on its own state and its neighbouring agents at their last triggering time. Compared with the centralised event-triggered mechanism, the proposed distributed scheme could reduce the frequency of information exchange between the agent and its neighbours and save the bandwidth and energy. Simulation indicates the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 3044-3054 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1808110 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1808110 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:3044-3054 Template-Type: ReDIF-Article 1.0 Author-Name: Ji Qi Author-X-Name-First: Ji Author-X-Name-Last: Qi Author-Name: Yanhui Li Author-X-Name-First: Yanhui Author-X-Name-Last: Li Title: Co-design between robust L1 fault-tolerant control and discrete event-triggered communication scheme for networked control systems with transmission delay and quantisation Abstract: In order to take into account both the system performance and economical utilisation of network resources, under the discrete event-triggered communication scheme, the problems of the robust $L_{1} $L1 fault-tolerant control for a class of uncertain networked control systems with actuator fault constraint are investigated. In consideration with the imperfect networked environment with transmission delay and quantisation, a model of the error dependent networked closed-loop fault system is established. By constructing an appropriate delay-dependent Lyapunov–Krasovskii functional, the sufficient condition for the existence of robust $L_{1} $L1 fault-tolerant controller is obtained for an error dependent networked closed-loop fault system, and a co-design method for gaining the discrete event-triggered parameter and $L_{1} $L1 fault-tolerant controller is proposed in terms of linear matrix inequalities. Notice that the structure of Lyapunov–Krasovskii functional which considers the piecewise-linear sawtooth structure characteristic of transmission delay, a less conservative result is obtained. Finally, simulation examples are provided to illustrate the feasibility of the proposed method. Journal: International Journal of Systems Science Pages: 3055-3069 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1808111 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1808111 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:3055-3069 Template-Type: ReDIF-Article 1.0 Author-Name: Guangtai Tian Author-X-Name-First: Guangtai Author-X-Name-Last: Tian Title: Tracking control of discrete-time Markovian jump systems Abstract: This paper is concerned with the model reference tracking control (MRTC) problem of discrete-time Markovian jump systems under external disturbance and input constraints. A state feedback controller is proposed to guarantee that the state vector of the system tracks precisely a given state vector of a reference model. The tracking problem is formulated as an optimisation problem and an approach to design the state feedback controller which stabilises the augmented system and rejects the external disturbance simultaneously. Sufficient conditions for stochastic stability and stabilisation of the augmented systems are derived via linear matrix inequalities. Then, under the assumption of completely unknown system modes, a common MRTC approach is developed to guarantee the stochastic stability, the disturbance rejection and the input constraints. Finally, a simulation example is provided to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 3070-3080 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1808112 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1808112 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:3070-3080 Template-Type: ReDIF-Article 1.0 Author-Name: Fatemeh Yaghoobi Author-X-Name-First: Fatemeh Author-X-Name-Last: Yaghoobi Author-Name: Alireza Fatehi Author-X-Name-First: Alireza Author-X-Name-Last: Fatehi Author-Name: Masoud Moghaddasi Author-X-Name-First: Masoud Author-X-Name-Last: Moghaddasi Title: Bayesian state estimation in the presence of slow-rate integrated measurement Abstract: This paper concentrates on Bayesian state estimation approach in the presence of slow-rate integrated measurements. In chemical process, some quality variables, in the sense of measuring, often have an important characteristic resulting from the time taken for samples collection. These kinds of measurements are obtained based on sample of materials that are collected in a period of time. So, the measurement indicates the average property of the measurand in the period of samples collection, which is called Slow-Rate inTegrated Measurement (SRTM). In this paper, our goal is to estimate the fast-rate instantaneous states using available SRTM. Bayesian estimation approach is reformulated to acquire this goal. First, new Bayesian formulation is provided which ends to some complex integral formula. Then, with using the idea of Monte Carlo sampling method a numerical solution is presented for this problem. The advantage of the proposed algorithm is that it can deal with integrated measurement problem in a broader range of models with nonlinearity and non-Gaussian noise. The effectiveness of the proposed methodology is verified and demonstrated through simulation and empirical experiment on a level-flow laboratory-scale plant. Journal: International Journal of Systems Science Pages: 3081-3097 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1808730 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1808730 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:3081-3097 Template-Type: ReDIF-Article 1.0 Author-Name: Jin-jie Huang Author-X-Name-First: Jin-jie Author-X-Name-Last: Huang Author-Name: Xiao-zhen Pan Author-X-Name-First: Xiao-zhen Author-X-Name-Last: Pan Author-Name: Xian-zhi Hao Author-X-Name-First: Xian-zhi Author-X-Name-Last: Hao Title: Event-triggered and self-triggered H∞ output tracking control for discrete-time linear parameter-varying systems with network-induced delays Abstract: In this paper, we address the event-triggered and self-triggered ${H_\infty } $H∞ output tracking problem of discrete LPV systems with network-induced delay. Considering the time delay and external disturbance, we formulate the closed-loop event-triggered output tracking problem into a time-delayed discrete polytopic linear parameter-varying system with relative event-triggering mechanism. Then, by constructing the parameter-dependent Lyapunov–Krasovskii functional, we derive a sufficient condition such that the closed-loop system is global asymptotic stable and satisfies the ${H_\infty } $H∞ output tracking performance. Further, we develop an approach to design the event-triggering mechanism and ${H_\infty } $H∞ output tracking controller. The parameters of event-triggering mechanism and the gains of output tracking controller are obtained by solving linear matrix inequalities. Moreover, we extend the results of the event-triggered control to the self-triggered ${H_\infty } $H∞ output tracking control. This not only mitigates the usage of network bandwidth but also avoids the use of additional hardware. Finally, the numerical simulation is included to illustrate the usefulness and effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 3098-3117 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1808731 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1808731 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:3098-3117 Template-Type: ReDIF-Article 1.0 Author-Name: Yaoyao Wang Author-X-Name-First: Yaoyao Author-X-Name-Last: Wang Author-Name: Jiawei Peng Author-X-Name-First: Jiawei Author-X-Name-Last: Peng Author-Name: Kangwu Zhu Author-X-Name-First: Kangwu Author-X-Name-Last: Zhu Author-Name: Bai Chen Author-X-Name-First: Bai Author-X-Name-Last: Chen Author-Name: Hongtao Wu Author-X-Name-First: Hongtao Author-X-Name-Last: Wu Title: Adaptive PID-fractional-order nonsingular terminal sliding mode control for cable-driven manipulators using time-delay estimation Abstract: This paper presents an adaptive proportional-integral-derivative fractional-order nonsingular terminal sliding mode (PID-FONTSM) control for the cable-driven manipulators using time-delay estimation (TDE). The proposed control uses TDE technique to obtain the lumped system dynamics and brings in an effective model-free structure. Then, a PID-FONTSM surface is designed to further enhance the control performance. The proposed PID-FONTSM surface uses the FONTSM error dynamic as its inner loop and utilises a PID-type surface with FONTSM variable as its outer loop. Benefitting from this structure, the proposed PID-FONTSM surface enjoys the advantages from both PID and FONTSM simultaneously. Afterwards, an adaptive algorithm is developed, to timely and precisely regulate the control gain for the robust term. The proposed control method is model-free, highly accurate and essentially continuous thanks to the TDE technique and developed PID-FONTSM surface and adaptive algorithm. The stability of the closed-loop control system under TDE and PID-FONTSM dynamics is proved using Lyapunov stability theory. Finally, comparative simulations were conducted to verify the effectiveness and superiorities of our proposed control method over the existing methods. Journal: International Journal of Systems Science Pages: 3118-3133 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1808732 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1808732 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:3118-3133 Template-Type: ReDIF-Article 1.0 Author-Name: T. Binazadeh Author-X-Name-First: T. Author-X-Name-Last: Binazadeh Author-Name: A. R. Hakimi Author-X-Name-First: A. R. Author-X-Name-Last: Hakimi Title: Adaptive generation of limit cycles in a class of nonlinear systems with unknown parameters and dead-zone nonlinearity Abstract: This paper presents a new method to design an adaptive controller for generating stable limit cycles in a class of nonlinear systems subject to unknown dead-zone nonlinearity and unknown parameters. In this regard, the set stabilisation-based approach is utilised and the proper Lyapunov function is taken concerning the geometric shape of the desired limit cycle. Firstly, the state feedback control is designed to create the desired limit cycle in the second-order subsystem and then, extended to the arbitrary $n $n order system through the adaptive backstepping technique. Besides, the explosion of a complex problem, which happens during the backstepping implementation in high-order systems, is handled. In the final stage, the boundedness of all the closed-loop signals is guaranteed via Lyapunov analysis. The effectiveness of the proposed control algorithm is demonstrated by a simulation example. Journal: International Journal of Systems Science Pages: 3134-3145 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1808733 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1808733 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:3134-3145 Template-Type: ReDIF-Article 1.0 Author-Name: Quanmin Zhu Author-X-Name-First: Quanmin Author-X-Name-Last: Zhu Author-Name: Ji Qiu Author-X-Name-First: Ji Author-X-Name-Last: Qiu Author-Name: Iman Delshad Author-X-Name-First: Iman Author-X-Name-Last: Delshad Author-Name: Mokhtar Nibouche Author-X-Name-First: Mokhtar Author-X-Name-Last: Nibouche Author-Name: Yufeng Yao Author-X-Name-First: Yufeng Author-X-Name-Last: Yao Title: U-model enhanced control of non-minimum phase systems Abstract: Control of non-minimum phase (NMP) dynamic systems has been a widely and intensively studied challenging topic from its academic research to industrial applications. With the emergence of U-model based control system design, this study presents a new solution in designing such control systems. In technique, different from pole-zero cancellation (i.e. in force of multiplication/division), this study proposes a pulling principle (i.e. in force of summation/subtraction) to relocate zeros and poles through Infinite Impulse Response (IIR) filters, then introduces a U-model based universal control framework with invariant controller plus U-model inverter so that it separates the treatment of NMP issue from stable control system design. By integration of the above techniques, this study presents a systematic procedure to complement those classical approaches in designing NMP control systems. The associated properties and performance are proved analytically and demonstrated numerically (with Matlab simulation of bench test examples). To follow the study, the computational experiment results provide a user-friendly step by step procedure for the readers/users with interest in their ad hoc applications. Journal: International Journal of Systems Science Pages: 3146-3162 Issue: 15 Volume: 51 Year: 2020 Month: 11 X-DOI: 10.1080/00207721.2020.1808734 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1808734 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:15:p:3146-3162 Template-Type: ReDIF-Article 1.0 Author-Name: Amanda D. O. S. Dantas Author-X-Name-First: Amanda D. O. S. Author-X-Name-Last: Dantas Author-Name: André F. O. A. Dantas Author-X-Name-First: André F. O. A. Author-X-Name-Last: Dantas Author-Name: Túlio F. D. Almeida Author-X-Name-First: Túlio F. D. Author-X-Name-Last: Almeida Author-Name: Carlos E. T. Dórea Author-X-Name-First: Carlos E. T. Author-X-Name-Last: Dórea Title: Design of reduced complexity controllers for linear systems under constraints using data cluster analysis Abstract: A numerical method is proposed to reduce the complexity and computational effort involved in the application of the multiparametric linear programming technique in the design of offline controllers for linear systems subject to constraints. For this purpose, the concept of controlled invariant sets and the K q-flat data cluster analysis algorithm are applied. Specifically, we show how the K q-flat algorithm can be used to establish a smaller number of polyhedral regions associated with a piecewise affine explicit state feedback control law. We also propose a new approach in the design of sub-optimal controllers that further reduce the number of regions. Numerical examples show that a significant reduction in the complexity of the control law can be achieved by the proposed approach. Journal: International Journal of Systems Science Pages: 2533-2548 Issue: 14 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1795948 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1795948 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:14:p:2533-2548 Template-Type: ReDIF-Article 1.0 Author-Name: Toshio Yoshimura Author-X-Name-First: Toshio Author-X-Name-Last: Yoshimura Title: An approximate design of the prescribed performance control for uncertain discrete-time nonlinear strict-feedback systems Abstract: This paper presents an approximate prescribed performance control for a class of uncertain discrete-time nonlinear strict-feedback systems with full state constraints. The observation of the states is taken with a set of independent random measurement noises. The approximate prescribed performance control is proposed as follows. In the tracking error equations on the adaptive fuzzy backstepping control, the future virtual controls are replaced as the current virtual controls to obtain the actual control in a simple structure. The nonlinear uncertainties included in the systems are approximated as the fuzzy logic systems, and the number of the fuzzy IF–THEN rules is reduced based on the simplified extended single input rule modules. The estimates for the un-measurable states and the adjustable parameters are obtained by using the proposed approximate estimator. The estimation errors are proved to be uniformly ultimately bounded. The effectiveness of the proposed approach is indicated by the simulation experiment of a simple numerical system. Journal: International Journal of Systems Science Pages: 2549-2562 Issue: 14 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1797921 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1797921 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:14:p:2549-2562 Template-Type: ReDIF-Article 1.0 Author-Name: Hakim Achour Author-X-Name-First: Hakim Author-X-Name-Last: Achour Author-Name: Djamel Boukhetala Author-X-Name-First: Djamel Author-X-Name-Last: Boukhetala Author-Name: Hilal Labdelaoui Author-X-Name-First: Hilal Author-X-Name-Last: Labdelaoui Title: An observer-based robust H∞ controller design for uncertain Takagi–Sugeno fuzzy systems with unknown premise variables using particle swarm optimisation Abstract: This paper deals with the observer-based robust H∞ controller design for the Takagi–Sugeno (T-S) continuous fuzzy systems with uncertainties and external disturbances in the case where the premise variables are not measurable. The main objective of this work is to provide robust stability conditions in terms of relaxed LMIs (Linear Matrix Inequalities) for uncertain and disturbed T-S fuzzy systems with unmeasurable premise variables. Using some matrix transformations and lemmas, sufficient conditions of robust stabilisation are derived in the form of a set of relaxed LMIs guaranteeing an optimal value of the H∞ performance level. The proposed LMI constraints are solved using particle swarm optimisation (PSO) algorithm to obtain the robust controller and observer gains. The proposed method has the advantage of having less predefined parameters against the available methods in the literature. The obtained H∞ control scheme ensures asymptotic stability of the closed-loop system as well as strong disturbance attenuation based on the quadratic Lyapunov function, a fuzzy observer and a fuzzy controller. Two simulation examples are provided to show the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 2563-2581 Issue: 14 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1797922 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1797922 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:14:p:2563-2581 Template-Type: ReDIF-Article 1.0 Author-Name: Lisai Gao Author-X-Name-First: Lisai Author-X-Name-Last: Gao Author-Name: Fuqiang Li Author-X-Name-First: Fuqiang Author-X-Name-Last: Li Author-Name: Jingqi Fu Author-X-Name-First: Jingqi Author-X-Name-Last: Fu Title: Output-based event-triggered resilient control of uncertain NCSs under DoS attacks and quantisation Abstract: This paper studies output-based resilient control of uncertain networked control systems under denial-of-service (DoS) attacks, resilient event-triggered mechanism (ETM) and quantisation. Firstly, to save constrained system resources such as network bandwidth, using information of DoS attacks and sampled outputs of plant, an output-based resilient ETM is introduced. Secondly, a switched system model is built, which characterises effects of DoS attacks, the resilient ETM, plant uncertainty and quantisation in a unified framework. Thirdly, sufficient conditions for exponential stability are obtained with less conservativeness, which establish quantitative relationships among DoS attacks, the resilient ETM, plant uncertainty, quantisation, dynamic output feedback (DOF) controller and system stability. Further, co-design conditions are presented to compute parameters of the resilient ETM and DOF controller simultaneously. Finally, example illustrates effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2582-2596 Issue: 14 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1797923 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1797923 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:14:p:2582-2596 Template-Type: ReDIF-Article 1.0 Author-Name: Sihem Mahoui Author-X-Name-First: Sihem Author-X-Name-Last: Mahoui Author-Name: Mohamed Said Moulay Author-X-Name-First: Mohamed Said Author-X-Name-Last: Moulay Author-Name: Abdennebi Omrane Author-X-Name-First: Abdennebi Author-X-Name-Last: Omrane Title: Finite element approach to linear parabolic pointwise control problems of incomplete data Abstract: In this paper we give a priori error estimates for finite element approximations of linear parabolic problems with pointwise control and incomplete data. We discretise the optimal control problem by using piecewise linear and continuous finite elements for the space discretisation of the state, and we use the backward Euler scheme for time discretisation. We prove a priori error estimates for the state, the adjoint-state as well as for the low-regret pointwise optimal control. Journal: International Journal of Systems Science Pages: 2597-2609 Issue: 14 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1799107 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1799107 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:14:p:2597-2609 Template-Type: ReDIF-Article 1.0 Author-Name: El Fezazi Nabil Author-X-Name-First: El Fezazi Author-X-Name-Last: Nabil Author-Name: Frih Abderrahim Author-X-Name-First: Frih Author-X-Name-Last: Abderrahim Author-Name: Lamrabet Ouarda Author-X-Name-First: Lamrabet Author-X-Name-Last: Ouarda Title: New H∞ dynamic observer design for time-delay systems subject to disturbances Abstract: This paper presents a new approach to design an H $_{\infty } $∞ dynamic observer (DO) for multi-delayed linear systems subject to $\mathcal {L}_{2} $L2-norm disturbances. This observer generalises the existing results on the proportional observer (PO), the proportional integral observer (PIO), and the DO. The proposed design approach is derived from the solution of LMIs based on the parametrization results of algebraic constraints. These algebraic constraints can be easily obtained from the unbiasedness conditions of the estimation error. The obtained results are illustrated by a numerical example to show the performances of the proposed observer. Journal: International Journal of Systems Science Pages: 2610-2624 Issue: 14 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1799108 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1799108 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:14:p:2610-2624 Template-Type: ReDIF-Article 1.0 Author-Name: M. D. S. Aliyu Author-X-Name-First: M. D. S. Author-X-Name-Last: Aliyu Title: An improved iterative computational approach to the solution of the Hamilton–Jacobi equation in optimal control problems of affine nonlinear systems with application Abstract: In this paper, we improve an earlier iterative successive approximation method for solving the Hamilton–Jacobi equation (HJE) arising in deterministic optimal control of affine nonlinear systems. The new methods generate smooth approximate solutions for systems with polynomial nonlinearities, compared with the former method that generates rational functions with possible singularities in the domain. We prove quadratic convergence of the methods and demonstrate their effectiveness with some examples. Application to factorisation of nonlinear systems is also discussed. Journal: International Journal of Systems Science Pages: 2625-2634 Issue: 14 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1799109 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1799109 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:14:p:2625-2634 Template-Type: ReDIF-Article 1.0 Author-Name: Xinjie He Author-X-Name-First: Xinjie Author-X-Name-Last: He Author-Name: Shaowu Zhou Author-X-Name-First: Shaowu Author-X-Name-Last: Zhou Author-Name: Hongqiang Zhang Author-X-Name-First: Hongqiang Author-X-Name-Last: Zhang Author-Name: Lianghong Wu Author-X-Name-First: Lianghong Author-X-Name-Last: Wu Author-Name: You Zhou Author-X-Name-First: You Author-X-Name-Last: Zhou Author-Name: Yujuan He Author-X-Name-First: Yujuan Author-X-Name-Last: He Author-Name: Mao Wang Author-X-Name-First: Mao Author-X-Name-Last: Wang Title: Multiobjective coordinated search algorithm for swarm of UAVs based on 3D-simplified virtual forced model Abstract: This paper aims to tackle the problem of multiobjective search for swarms of UAVs in unknown complex environments and proposes a multiobjective coordinated search algorithm based on a 3D-simplified virtual forced model (MOCS-3D-SVFM). First, it decomposes the search behaviour into the roaming search state and coordinated search state based on the detection of target signals by a swarm of UAVs. Second, a nearest neighbour exclusion diffusion (NNED) algorithm is introduced for the UAV of the wander search state, and a 3D adaptive inertia weight extended particle swarm algorithm (IAEPSO) is proposed by combining the motion characteristics of UAV with a 3D particle swarm algorithm aiming at the UAV with coordinated search state. Finally, the 3D-simplified virtual force model proposed based on the concept of the 2D-simplified virtual force model by the rotation matrix is introduced to solve the model parameters and the control strategy under the UAV of wander search state and coordinated search state is established, which effectively solves the real-time obstacle avoidance problem. Moreover, this paper sets the comparison mode of the three search methods; compared to Mode1, the search time T and energy consumption S can be significantly reduced, and the numerical simulations verify its effectiveness. Journal: International Journal of Systems Science Pages: 2635-2652 Issue: 14 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1799110 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1799110 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:14:p:2635-2652 Template-Type: ReDIF-Article 1.0 Author-Name: Reza Rahmani Author-X-Name-First: Reza Author-X-Name-Last: Rahmani Author-Name: Hamid Toshani Author-X-Name-First: Hamid Author-X-Name-Last: Toshani Author-Name: Saleh Mobayen Author-X-Name-First: Saleh Author-X-Name-Last: Mobayen Title: Consensus tracking of multi-agent systems using constrained neural-optimiser-based sliding mode control Abstract: In this paper, an optimal Sliding-Mode Control (SMC) technique based on Projection Recurrent Neural Network (PRNN) is proposed to solve the tracking consensus for the robotic multi-agent system. Based on a connection topology between the leader and agents and relative degree of the system, the sliding surfaces are defined in terms of the error signals. Then, a performance index is defined to realise the exponential reaching law and minimum control effort. By considering the actuator limits, a constrained Quadratic Programming (QP) problem is derived. The solution of the QP is calculated using PRNN, which is developed based on Variational Inequality (VI) problem. The structure of PRNN is composed of a dynamic and an algebraic equation, in which a projection operator acts as an activation function. The convergence analysis of PRNN as a numerical optimiser has been performed using Lyapunov theorem. Moreover, the sufficient conditions are derived for ensuring the robust stability of the closed-loop system. The performance of the proposed algorithm has been investigated by applying it to a robotic multi-agent system and has been compared with an adaptive backstepping SMC. Journal: International Journal of Systems Science Pages: 2653-2674 Issue: 14 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1799257 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1799257 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:14:p:2653-2674 Template-Type: ReDIF-Article 1.0 Author-Name: Dong Shen Author-X-Name-First: Dong Author-X-Name-Last: Shen Title: Iterative learning control using faded measurements without system information: a gradient estimation approach Abstract: This paper studies iterative learning control (ILC) using faded measurements without system information. The measurements are transmitted through fading channels, where the fading phenomenon is modelled by a multiplicative random variable. The system matrices are assumed unknown a priori and a random difference technique is applied to estimate the gradient using the available tracking data. An online ILC algorithm is established with strict convergence analysis along the iteration axis, followed by practical variants and discussions. The generated input sequence is proved to converge to the desired one in the almost sure sense. Illustrative simulations are presented to verify the theoretical results. Journal: International Journal of Systems Science Pages: 2675-2689 Issue: 14 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1799258 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1799258 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:14:p:2675-2689 Template-Type: ReDIF-Article 1.0 Author-Name: Ai-Guo Wu Author-X-Name-First: Ai-Guo Author-X-Name-Last: Wu Author-Name: Hui-Jie Sun Author-X-Name-First: Hui-Jie Author-X-Name-Last: Sun Author-Name: Wanquan Liu Author-X-Name-First: Wanquan Author-X-Name-Last: Liu Title: An iterative algorithm for coupled Riccati equations in continuous-time Markovian jump linear systems Abstract: In this paper, a novel implicit iterative algorithm with some tuning parameters is developed to solve the coupled algebraic Riccati matrix equation arising in the continuous-time Markovian jump linear systems. By introducing some tuning parameters in the proposed iterative algorithm, the current estimation for unknown variables is updated by using the information not only in the last step but also in the current iterative step and previous iterative steps. These tuning parameters can be appropriately chosen such that the proposed algorithm has faster convergence performance than some previous algorithms. It is shown that the proposed algorithm with zero initial conditions can monotonically converge to the unique positive semidefinite solution of the coupled Riccati matrix equation if the corresponding Markovian jump system is stabilisable. Finally, an example is provided to show the effectiveness of the developed algorithm. Journal: International Journal of Systems Science Pages: 2690-2702 Issue: 14 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1800130 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1800130 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:14:p:2690-2702 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaowei Gu Author-X-Name-First: Xiaowei Author-X-Name-Last: Gu Author-Name: Tinggang Jia Author-X-Name-First: Tinggang Author-X-Name-Last: Jia Author-Name: Yugang Niu Author-X-Name-First: Yugang Author-X-Name-Last: Niu Title: Consensus tracking for multi-agent systems subject to channel fading: a sliding mode control method Abstract: This paper considers the consensus tracking problem of second-order multi-agent systems. The key feature in this work is that the state transmission among followers may be subject to channel fading. In order to cope with the adverse factor, this work introduces the statistical information of channel fading into the measure function on the consensus tracking errors. Meanwhile, a feasible distributed sliding mode controller is designed by means of the received fading states. And then, both the reachability and the stability of sliding mode dynamics are analysed, under which the consensus tracking for followers to the leader is attained. Finally, a numerical simulation example is provided for verifying the proposed sliding mode control scheme. Journal: International Journal of Systems Science Pages: 2703-2711 Issue: 14 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1800131 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1800131 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:14:p:2703-2711 Template-Type: ReDIF-Article 1.0 Author-Name: M. Sathishkumar Author-X-Name-First: M. Author-X-Name-Last: Sathishkumar Author-Name: Yen-Chen Liu Author-X-Name-First: Yen-Chen Author-X-Name-Last: Liu Title: Resilient event-triggered fault-tolerant control for networked control systems with randomly occurring nonlinearities and DoS attacks Abstract: This work studies the event-based fault-tolerant control issue of networked control systems with actuator saturation, resilient event-triggering, randomly occurring nonlinearities, and denial-of-service jamming attacks (DoS-JAs). Initially, we aim to design a resilient event-triggered (ET) communication scheme under the attacks, proposed by the known period of the jamming signal. The period values occur in uniform lower bounds for the jammer's sleeping time. Next, a closed-loop networked control system is constructed as a switched-control strategy subject to state-delay, in addition to actuator saturation, actuator faults, DoS jamming attack, parameter uncertainty and resilient ET control schemes. Based on the Lyapunov stability theory, piecewise property and Wirtinger-based integral inequality, a set of sufficient conditions are obtained to ensure that the resulting closed-loop switched system is exponentially stable against DoS jamming attacks and satisfies mixed $H_\infty $H∞ and passivity performance index. Furthermore, the efficacy of the proposed method is demonstrated through simulated examples based on the two practical applications of satellite control systems and aircraft flight control systems. Journal: International Journal of Systems Science Pages: 2712-2732 Issue: 14 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1801880 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1801880 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:14:p:2712-2732 Template-Type: ReDIF-Article 1.0 Author-Name: Huiru Guo Author-X-Name-First: Huiru Author-X-Name-Last: Guo Author-Name: Zhi-Yong Feng Author-X-Name-First: Zhi-Yong Author-X-Name-Last: Feng Author-Name: Jinhua She Author-X-Name-First: Jinhua Author-X-Name-Last: She Title: Discrete-time multivariable PID controller design with application to an overhead crane Abstract: This paper considers the problems of designing multivariable proportional-integral-derivative (PID) controllers for discrete-time systems with D-stability and/or $H_{\infty } $H∞ performance constraints. First, the PID control problem is cast into a static output feedback (SOF) control problem, and linear matrix inequality (LMI) conditions are presented. Then, a cone complementarity linearisation (CCL) method is used to solve the SOF-stabilisation problem, and a coordinate transformation matrix (CTM) optimisation approach is extended to solve the optimal $H_{\infty } $H∞ SOF control problem. Finally, a numerical example is provided to show the effectiveness and advantage of the CTM optimisation approach, and application to the anti-sway and positioning control of an overhead crane demonstrates the validity of the approach. Journal: International Journal of Systems Science Pages: 2733-2745 Issue: 14 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1801881 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1801881 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:14:p:2733-2745 Template-Type: ReDIF-Article 1.0 Author-Name: Li Li Author-X-Name-First: Li Author-X-Name-Last: Li Author-Name: Jingjing Guo Author-X-Name-First: Jingjing Author-X-Name-Last: Guo Author-Name: Yuanqing Xia Author-X-Name-First: Yuanqing Author-X-Name-Last: Xia Author-Name: Hongjiu Yang Author-X-Name-First: Hongjiu Author-X-Name-Last: Yang Title: Distributed secure estimation for cyber-physical systems with fading measurements and false data injection attacks Abstract: This paper is concerned with the distributed secure estimation problem for a cyber-physical system (CPS) with fading measurements and false data injection (FDI) attacks, where the fading probability of measurements is assumed to be individual for each sensor, and the FDI attacks occur at the physical system layer to intensively modify the system's state. For improving security of the system, an attack detection mechanism is proposed based on an FDI attack observer constructed by minimising the upper bound of observation error covariance. Then a complete distributed state estimation algorithm is given to provide locally reliable estimation. A sufficient condition is provided to guarantee boundedness of the estimation error covariance. Finally, the effectiveness of the proposed method is illustrated by numerical simulation and practical example simulation. Journal: International Journal of Systems Science Pages: 2746-2766 Issue: 14 Volume: 51 Year: 2020 Month: 10 X-DOI: 10.1080/00207721.2020.1801883 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1801883 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:14:p:2746-2766 Template-Type: ReDIF-Article 1.0 Author-Name: Jin Zhu Author-X-Name-First: Jin Author-X-Name-Last: Zhu Author-Name: Pengfei Jiang Author-X-Name-First: Pengfei Author-X-Name-Last: Jiang Title: Mean stability for a class of discrete-time non-homogeneous positive Markov jump linear systems Abstract: This paper investigates the mean stability and stabilisation problem for a class of discrete-time positive Markov jump linear systems where the Mode Transition Probability Matrix (MTPM) is a stochastic process instead of time invariant. By assuming the jump of system mode is governed by a low-layer Markov chain and the variation of corresponding MTPM is governed by a high-layer one, a non-homogeneous positive Markov jump linear system model with two Markov chains is then proposed. Based on this, the necessary and sufficient conditions of mean stability for this concerned model are addressed via analysing the time evolution of the first-order moment of state variables. Second, a mode-MTPM-dependent state feedback controller can then be designed according to the given stability conditions which is solvable in terms of linear programming problems. Finally, a numerical example is provided to show the effectiveness of the presented control strategy. Journal: International Journal of Systems Science Pages: 3163-3178 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1809745 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1809745 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3163-3178 Template-Type: ReDIF-Article 1.0 Author-Name: Huan Yu Author-X-Name-First: Huan Author-X-Name-Last: Yu Author-Name: Yuechao Ma Author-X-Name-First: Yuechao Author-X-Name-Last: Ma Author-Name: Junwei Liu Author-X-Name-First: Junwei Author-X-Name-Last: Liu Title: Extended dissipative analysis for T–S fuzzy system with sampled-data input and actuator fault Abstract: This paper is concerned with reliable robust sampled-data control for T–S fuzzy system with time-varying delay. By adjusting the free weight matrix in the concept of extended dissipative, ${{H}_{\infty }} $H∞, ${{L}_{2}}-{{L}_{\infty }} $L2−L∞, passive and $(Q,S,R ) $(Q,S,R)-dissipative performance are solved in a unified framework. A novel mode-dependent Lyapunov–Krasovskii functional (LKF) is constructed, which fully utilises the characteristics of the real sampling period. Based on Lyapunov stability theory, Newton–Leibniz condition and new integral inequality techniques, some less conservative sufficient conditions are obtained to guarantee the close-loop system is asymptotically stable and extended dissipative. Based on sampled-data approach, a robust reliable controller can be developed by solving the linear matrix inequalities (LMIs). The advantage and effectiveness of the proposed design method can be illustrated by several numerical examples. Journal: International Journal of Systems Science Pages: 3179-3198 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1809746 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1809746 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3179-3198 Template-Type: ReDIF-Article 1.0 Author-Name: Yufeng Tian Author-X-Name-First: Yufeng Author-X-Name-Last: Tian Author-Name: Zhanshan Wang Author-X-Name-First: Zhanshan Author-X-Name-Last: Wang Title: Exponential admissibility analysis for singular systems with time-varying delay based on a parameter-dependent reciprocally convex inequality Abstract: This paper is concerned with the exponential admissibility problem of singular systems with interval time-varying delay. A parameter-dependent reciprocally convex inequality (PDRCI) is developed, which covers some existing ones as its special case. By using the system decomposition method, the considered system is decomposed into differential equations and algebraic ones. Unlike some existing works, the components of state vectors of the subsystems are applied to construct a new augmented Lyapunov–Krasovkii functional (LKF) with fewer decision variables. Based on the new integral inequality and augmented LKF, two exponential admissibility criteria are obtained in terms of linear matrix inequalities (LMIs). It should be mentioned that the derivative of the time-varying delay does not need to be smaller than one in this paper. The effectiveness of the proposed methods is demonstrated by two examples. Journal: International Journal of Systems Science Pages: 3199-3212 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1809747 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1809747 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3199-3212 Template-Type: ReDIF-Article 1.0 Author-Name: Rui Shi Author-X-Name-First: Rui Author-X-Name-Last: Shi Author-Name: Guangtian Shi Author-X-Name-First: Guangtian Author-X-Name-Last: Shi Author-Name: Yanliang Cui Author-X-Name-First: Yanliang Author-X-Name-Last: Cui Title: Observer-based control for uncertain T–S fuzzy systems with process disturbances and time-delays Abstract: This paper concerns the observer-based robust control for uncertain Takagi–Sugeno(T–S) fuzzy systems with disturbances and time delays. An observer is firstly employed to estimate the system state, afterwards, a memorise feedback control law is furthermore proposed. Since the observer state can not be directly influenced by the system uncertainties and disturbances, the proposed control law brings merit on improving system robustness. A mode-dependent Lyapunov-Krasovskii functional (LKF) is designed. By aid of a linear decoupling method, the original nonlinear pair of the observer and the controller gains can be feasibly decoupled. By this method, the co-design method of the observer and controller is conveniently presented. In presence of the time-varying delays, process disturbances and the system uncertainties, the asymptotical stability of the closed-loop system can be guaranteed. Numerical example is given the validate effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 3213-3224 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1809748 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1809748 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3213-3224 Template-Type: ReDIF-Article 1.0 Author-Name: Xuefeng Zhang Author-X-Name-First: Xuefeng Author-X-Name-Last: Zhang Author-Name: Zhe Wang Author-X-Name-First: Zhe Author-X-Name-Last: Wang Title: Stabilisation of Takagi–Sugeno fuzzy singular fractional-order systems subject to actuator saturation Abstract: In this paper, the stabilisation of fuzzy singular fractional-order systems (FOSs) with order $0 \lt {\nu } \lt 1 $0<ν<1 is discussed. Firstly, the sufficient conditions of fuzzy singular FOSs with actuator saturation are proposed. Further, the stabilisation criteria are given when the fuzzy singular FOSs are reduced to singular FOSs, including those with equality constraints and without equality constraints. Then, based on the proposed stabilisation conditions, we can estimate the stability region by solving an optimisation problem. Finally, two numerical examples are given to verify the effectiveness of our results. Journal: International Journal of Systems Science Pages: 3225-3236 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1809749 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1809749 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3225-3236 Template-Type: ReDIF-Article 1.0 Author-Name: Belgacem Herissi Author-X-Name-First: Belgacem Author-X-Name-Last: Herissi Author-Name: Djalil Boudjehem Author-X-Name-First: Djalil Author-X-Name-Last: Boudjehem Title: Fractional-order fuzzy controller for a PMSG wind turbine system Abstract: This paper presents a novel Takagi–Sugeno (T-S) fractional-order fuzzy logic control for a permanent magnet synchronous generator wind turbine (PMSG-WT) system. The proposed control strategy is composed of two parts. Firstly, a fractional reference model of the PMSG-WT nonlinear system is provided using T-S model and fractional calculus in order to ensure an accurate and robust model of the system. Secondly, the feedback controller gains are determined by resolving a set of linear matrix inequalities. The effectiveness and the validity of the proposed approach are demonstrated using numerical simulations. Journal: International Journal of Systems Science Pages: 3237-3250 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1810819 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1810819 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3237-3250 Template-Type: ReDIF-Article 1.0 Author-Name: Yu-Han Hu Author-X-Name-First: Yu-Han Author-X-Name-Last: Hu Author-Name: Ling Zhao Author-X-Name-First: Ling Author-X-Name-Last: Zhao Author-Name: Li-Bing Wu Author-X-Name-First: Li-Bing Author-X-Name-Last: Wu Author-Name: Nan-Nan Zhao Author-X-Name-First: Nan-Nan Author-X-Name-Last: Zhao Author-Name: Yu-Jun Zhang Author-X-Name-First: Yu-Jun Author-X-Name-Last: Zhang Title: Adaptive event-triggered fuzzy tracking control of nonlinear systems with dead-zones and unmeasurable states Abstract: In this paper, the adaptive event-triggered tracking control of uncertain nonlinear systems with dead-zone inputs is developed based on fuzzy approximation technique. Firstly, a robust fuzzy state observer is constructed to effectively estimate all the unmeasurable states. Next, an adaptive output feedback controller with parameter updated law only containing one on-line adjusted variable is designed via the backstepping scheme. Concomitantly, a novel event-triggered condition related to the upper and lower bounds of dead-zone parameters and the decreasing function of tracking errors is given to substantially alleviate the computation load of the communication process. Moreover, the desired closed-loop stability of the resulting systems can be achieved by exploiting Lyapunov function analysis. Finally, simulation results verify the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 3251-3268 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1814445 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1814445 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3251-3268 Template-Type: ReDIF-Article 1.0 Author-Name: Vladimir Dombrovskii Author-X-Name-First: Vladimir Author-X-Name-Last: Dombrovskii Author-Name: Tatiana Pashinskaya Author-X-Name-First: Tatiana Author-X-Name-Last: Pashinskaya Title: Model predictive control design for constrained Markov jump bilinear stochastic systems with an application in finance Abstract: In this study, we propose a solution to the model predictive control problem for a class of constrained discrete-time bilinear stochastic systems consisting of two coupled subsystems with Markov jumps. The first one includes a bilinear term in the state variables of the second subsystem and the input, whereas the second subsystem is described by a Markov switching vector autoregressive model. Furthermore, hard constraints imposed on the input manipulated variables. The results obtained are applied to the dynamic investment portfolio selection problem for a financial market with serially dependent returns and switching modes, subject to hard constraints on trading amounts. Our approach is tested on a real dataset from the New York Stock Exchange and the Russian Stock Exchange MOEX. Journal: International Journal of Systems Science Pages: 3269-3284 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1814892 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1814892 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3269-3284 Template-Type: ReDIF-Article 1.0 Author-Name: Huafeng Xia Author-X-Name-First: Huafeng Author-X-Name-Last: Xia Author-Name: Li Xie Author-X-Name-First: Li Author-X-Name-Last: Xie Author-Name: Quanmin Zhu Author-X-Name-First: Quanmin Author-X-Name-Last: Zhu Title: Maximum likelihood iterative identification approaches for multivariable equation-error moving average systems Abstract: The identification issues of a multivariable system with coloured noises are investigated in this paper. The decomposition strategy is utilised for dimension reduction by transforming a multivariable system into several sub-models. A maximum likelihood least squares-based iterative identification approach is presented to enhance the parameter estimation accuracy by combining the iterative identification technique with the maximum likelihood principle. A simulation example is offered to test the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 3285-3298 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1814893 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1814893 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3285-3298 Template-Type: ReDIF-Article 1.0 Author-Name: Xinxin Xie Author-X-Name-First: Xinxin Author-X-Name-Last: Xie Author-Name: Xiaowu Mu Author-X-Name-First: Xiaowu Author-X-Name-Last: Mu Title: Output feedback containment control of multi-agent systems with semi-Markovian switching topologies and input-bounded leaders Abstract: This paper investigates the containment control problem of multi-agent systems with semi-Markovian switching topologies. Different from the related works, this paper considers a more general case that the control inputs of leaders are nonzero, the sojourn time distributions of the semi-Markovian switching topologies are mode transition-dependent, and the states of agents are not measurable. Reduced-order observer-based control protocols are proposed, respectively, for two cases that the transition rates are completely known and partially unknown, which ensures that the containment of the multi-agent systems can be achieved in the mean square sense. Finally, simulation examples are given to illustrate the validity of the theoretical results. Journal: International Journal of Systems Science Pages: 3299-3319 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1814894 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1814894 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3299-3319 Template-Type: ReDIF-Article 1.0 Author-Name: Jin Ke Author-X-Name-First: Jin Author-X-Name-Last: Ke Author-Name: Jingyao Wang Author-X-Name-First: Jingyao Author-X-Name-Last: Wang Author-Name: Jianping Zeng Author-X-Name-First: Jianping Author-X-Name-Last: Zeng Author-Name: Weiyao Lan Author-X-Name-First: Weiyao Author-X-Name-Last: Lan Title: Fast finite-time tracking control for multi-agent systems with mismatched disturbances under directed communication graphs Abstract: In this paper, the fast finite-time consensus problem on multi-agent systems is considered. Multi-agent systems are affected by mismatched disturbances and the communication graph is directed. By a sliding mode observer and a fast nonsingular terminal sliding mode control method, the feedforward-feedback controller is presented for multiple second-order systems and multiple high-order systems to achieve consensus, respectively. The proposed control method can provide short convergence time and improved control input without strong chattering and singularity phenomenon. Finally, simulations are given to verify the availability of the methods. Journal: International Journal of Systems Science Pages: 3320-3338 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1814895 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1814895 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3320-3338 Template-Type: ReDIF-Article 1.0 Author-Name: Yu-Xing Duan Author-X-Name-First: Yu-Xing Author-X-Name-Last: Duan Author-Name: Zong-Yao Sun Author-X-Name-First: Zong-Yao Author-X-Name-Last: Sun Author-Name: Bai-Li Su Author-X-Name-First: Bai-Li Author-X-Name-Last: Su Title: Optimisation control via the distributed model predictive method for nonlinear time-delay systems Abstract: This paper is focused on the optimisation control design for a class of nonlinear time-delay systems. A distributed model predictive control scheme is proposed for the first time to apply the constraint control input in manipulating the presence of time-delay. The continuous controller is divided into two parts in terms of the stabilisation and the optimisation, which guarantees the stability of the closed-loop systems based on the appropriate assumptions. The novelty of this paper is a reasonable separation of the actual control to deal with the function with time-delay. Finally, a simulation is given to verify the correctness of the theoretical results. Journal: International Journal of Systems Science Pages: 3339-3346 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1814896 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1814896 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3339-3346 Template-Type: ReDIF-Article 1.0 Author-Name: Fanchao Kong Author-X-Name-First: Fanchao Author-X-Name-Last: Kong Author-Name: Quanxin Zhu Author-X-Name-First: Quanxin Author-X-Name-Last: Zhu Title: General decay synchronisation of discontinuous fuzzy neural networks with discrete and distributed time-delays via nonlinear feedback control Abstract: This paper aims to provide a new framework to study the general decay synchronisation analysis of a class of fuzzy neural networks with discontinuous activations, discrete and distributed time-delays. To achieve the targets, by using functional differential inclusions theory, inequality technique and the non-smooth analysis of Lyapunov–Krasovskii functional, some verifiable algebraic criteria are given to guarantee the general decay synchronisation via a new nonlinear feedback controller. The nonlinear feedback controller can not only deal with the discontinuous activations but also the mixed time-varying delays. Compared with the previous results on general decay synchronisation of delayed neural networks, the theoretical results of this paper are more generalised and inclusive. Finally, two simulation examples have been shown to verify the correctness and advantages of our main results. Journal: International Journal of Systems Science Pages: 3347-3363 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1814897 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1814897 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3347-3363 Template-Type: ReDIF-Article 1.0 Author-Name: Zhongyi Zhao Author-X-Name-First: Zhongyi Author-X-Name-Last: Zhao Author-Name: Zidong Wang Author-X-Name-First: Zidong Author-X-Name-Last: Wang Author-Name: Lei Zou Author-X-Name-First: Lei Author-X-Name-Last: Zou Author-Name: Jiyue Guo Author-X-Name-First: Jiyue Author-X-Name-Last: Guo Title: Set-membership filtering for time-varying complex networks with uniform quantisations over randomly delayed redundant channels Abstract: This paper investigates the set-membership filtering problem for a class of nonlinear time-varying complex networks with uniformly quantised measurements over redundant channels. The network output is subject to uniform quantisation and then the quantised signal is sent to the filter through redundant channels with random delays. The aim of the proposed problem is to design a set-membership filter such that, at each time instant, the filtering error dynamics is confined within a closed domain whose boundary is a hyper-ellipsoid. Sufficient conditions are proposed to guarantee the existence of addressed set-membership filter in terms of certain recursive matrix inequality. Subsequently, an optimisation problem is proposed to minimise the hyper-ellipsoid (containing the true network state) in the sense of trace and a computational algorithm is then provided. Finally, a simulation example is provided to demonstrate the effectiveness of our proposed method. Journal: International Journal of Systems Science Pages: 3364-3377 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1814898 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1814898 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3364-3377 Template-Type: ReDIF-Article 1.0 Author-Name: Javier Gimenez Author-X-Name-First: Javier Author-X-Name-Last: Gimenez Author-Name: Lucio R. Salinas Author-X-Name-First: Lucio R. Author-X-Name-Last: Salinas Author-Name: Daniel C. Gandolfo Author-X-Name-First: Daniel C. Author-X-Name-Last: Gandolfo Author-Name: Claudio D. Rosales Author-X-Name-First: Claudio D. Author-X-Name-Last: Rosales Author-Name: Ricardo Carelli Author-X-Name-First: Ricardo Author-X-Name-Last: Carelli Title: Control for cooperative transport of a bar-shaped payload with rotorcraft UAVs including a landing stage on mobile robots Abstract: This paper considers the cooperative transport problem of a cable-suspended rigid bar with two rotorcraft UAVs considering collision avoidance, weight distribution, and wind perturbations. The proposal is based on null-space theory and includes a landing stage where the load is settled down on a formation of ground robots. Therefore, a variable formation is considered according to the task phase. In order to simulate the proposal in a realistic environment, very complete dynamic models for UAVs, ground robots, and load are considered. An adaptation stage is incorporated to link the control actions with the inputs required by the dynamic models. Theoretical bounds for the errors are studied under the assumption that perfect velocity tracking is not fulfilled. Journal: International Journal of Systems Science Pages: 3378-3392 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1815096 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1815096 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3378-3392 Template-Type: ReDIF-Article 1.0 Author-Name: Wen-Yuan Fu Author-X-Name-First: Wen-Yuan Author-X-Name-Last: Fu Author-Name: Xiao-Dong Li Author-X-Name-First: Xiao-Dong Author-X-Name-Last: Li Author-Name: Tao Qian Author-X-Name-First: Tao Author-X-Name-Last: Qian Title: AFD-based ILC designs in frequency domain for linear discrete-time systems Abstract: The existing frequency-domain-based iterative learning control (ILC) methods are highly dependent on the mathematical models of the controlled systems. For linear discrete-time single-input single-output (SISO) systems with unknown mathematical models, this paper tries to present fully data-driven ILC designs in frequency domain. With the help of support vector machine (SVM), the input-output data of the linear discrete-time SISO system at the first repetition is utilised to constitute an adaptive Fourier decomposition (AFD) model. Then, based on the AFD model, a P-type ILC law and an extended D-type ILC law with data-driven determining techniques for learning gains are presented. It is noted that comparing with the conventional D-type ILC law, the newly proposed extended D-type ILC law exhibits superior tracking characteristic due to involving the frequency information during the ILC process. A numerical example is utilised to illustrate the effectiveness of the proposed ILC algorithms with the data-driven determining techniques for learning gains. Journal: International Journal of Systems Science Pages: 3393-3407 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1815097 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1815097 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3393-3407 Template-Type: ReDIF-Article 1.0 Author-Name: Huqiang Cheng Author-X-Name-First: Huqiang Author-X-Name-Last: Cheng Author-Name: Huaqing Li Author-X-Name-First: Huaqing Author-X-Name-Last: Li Author-Name: Zheng Wang Author-X-Name-First: Zheng Author-X-Name-Last: Wang Title: On the convergence of exact distributed generalisation and acceleration algorithm for convex optimisation Abstract: In this paper, we study distributed multiagent optimisation over undirected graphs. The optimisation problem is to minimise a global objective function, which is composed of the sum of a set of local objective functions. Recent researches on this problem have made significant progress by using primal-dual methods. However, the inner link among different algorithms is unclear. This paper shows that some state-of-the-art algorithms differ in that they incorporate the slightly different last dual gradient terms based on the augmented Lagrangian analysis. Then, we propose a distributed Nesterov accelerated optimisation algorithm, where a doubly stochastic matrix is allowed to use, and nonidentical local step-sizes are employed. We analyse the convergence of the proposed algorithm by using the generalised small gain theorem under the assumption that each local objective function is strongly convex and has Lipschitz continuous gradient. We prove that the sequence generated by the proposed algorithm linearly converge to an optimal solution if the largest step-size is positive and less than an explicitly estimated upper bound, and the largest momentum parameter is nonnegative and less than an upper bound determined by the largest step-size. Simulation results further illustrate the efficacy of the proposed algorithm. Journal: International Journal of Systems Science Pages: 3408-3424 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1815098 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1815098 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3408-3424 Template-Type: ReDIF-Article 1.0 Author-Name: Juan Diego Sánchez-Torres Author-X-Name-First: Juan Diego Author-X-Name-Last: Sánchez-Torres Author-Name: Aldo Jonathan Muñoz-Vázquez Author-X-Name-First: Aldo Jonathan Author-X-Name-Last: Muñoz-Vázquez Author-Name: Michael Defoort Author-X-Name-First: Michael Author-X-Name-Last: Defoort Author-Name: Rodrigo Aldana-López Author-X-Name-First: Rodrigo Author-X-Name-Last: Aldana-López Author-Name: David Gómez-Gutiérrez Author-X-Name-First: David Author-X-Name-Last: Gómez-Gutiérrez Title: Predefined-time integral sliding mode control of second-order systems Abstract: This manuscript introduces the design of a controller that ensures predefined-time convergence for a class of second-order systems. In contrast to finite- and fixed-time controllers, predefined-time schemes allow to prescribe a bound for the convergence time as a control parameter. First, a predefined-time integral sliding mode controller allows rejecting unknown but bounded matched disturbances. Then, the system dynamics evolve free of the effect of disturbances during the integral sliding motion. Finally, an ideal controller enforces convergence also in predefined-time. A Lyapunov-like characterisation for predefined-time stability is conducted, and numerical results are provided to illustrate the validity of the proposed technique. Journal: International Journal of Systems Science Pages: 3425-3435 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1815893 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1815893 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3425-3435 Template-Type: ReDIF-Article 1.0 Author-Name: Wen-Bo Xie Author-X-Name-First: Wen-Bo Author-X-Name-Last: Xie Author-Name: Tong-Zhi Wang Author-X-Name-First: Tong-Zhi Author-X-Name-Last: Wang Author-Name: Hak Keung Lam Author-X-Name-First: Hak Keung Author-X-Name-Last: Lam Author-Name: Xin Wang Author-X-Name-First: Xin Author-X-Name-Last: Wang Title: Functional observer–controller method for unmeasured premise variables Takagi-Sugeno systems with external disturbance Abstract: A functional observer–controller design problem of Takagi-Sugeno fuzzy systems with unmeasured premise variables and external disturbance is investigated in this paper. First, robust state feedback controller is designed based on a relaxed fuzzy Lyapunov approach. With an estimation membership functions of transformation technique, a fuzzy functional observer is introduced to estimate the unmeasured premise variables and system control input. By using a robust separation principle, the observer and controller errors system is proved to be stable and robust to external disturbance. Finally, the estimation and control effects of the proposed method are verified through several engineering examples. Journal: International Journal of Systems Science Pages: 3436-3450 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1817609 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1817609 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3436-3450 Template-Type: ReDIF-Article 1.0 Author-Name: Bo Min Author-X-Name-First: Bo Author-X-Name-Last: Min Author-Name: Feng Xu Author-X-Name-First: Feng Author-X-Name-Last: Xu Author-Name: Junbo Tan Author-X-Name-First: Junbo Author-X-Name-Last: Tan Author-Name: Xueqian Wang Author-X-Name-First: Xueqian Author-X-Name-Last: Wang Author-Name: Bin Liang Author-X-Name-First: Bin Author-X-Name-Last: Liang Title: Multiple actuator-fault detectability analysis using invariant sets for discrete-time LPV systems Abstract: This paper characterises and analyses the minimum detectable fault (MDF) (named generalised MDF here) for multiple multiplicative actuator faults based on set-separation constraints of healthy and faulty residual sets for discrete-time linear parameter varying (LPV) systems with bounded inputs and uncertainties. First, multiple multiplicative actuator faults are equivalently transformed into the form of multiple additive actuator faults for the sake of obtaining the simplified faulty residual set explicitly. Then, two different generalised MDF for different multiple actuator faults are, respectively, defined, which can be computed via solving simple linear programming (LP) problems. Moreover, we propose three detectability conditions to guarantee the detection of multiple multiplicative actuator faults by using the invariant set-based method. Finally, we provide effective selection guidance for the detection of different multiple multiplicative actuator faults by systematically analysing the conservatism and characteristics of these three guaranteed detectability conditions. At the end of this paper, an electrical circuit example is used to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 3451-3470 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1817610 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1817610 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3451-3470 Template-Type: ReDIF-Article 1.0 Author-Name: M. S. Qian Author-X-Name-First: M. S. Author-X-Name-Last: Qian Author-Name: X. G. Yan Author-X-Name-First: X. G. Author-X-Name-Last: Yan Title: Integrated fault-tolerant control approach for linear time-delay systems using a dynamic event-triggered mechanism Abstract: In this study, a novel integrated fault estimation (FE) and fault-tolerant control (FTC) design approach is developed for a system with time-varying delays and additive fault based on a dynamic event-triggered communication mechanism. The traditional static event-triggered mechanism is modified by adding an internal dynamic variable to increase the inter-event interval and decrease the amount of data transmission. Then, a dynamical observer is designed to estimate both the system state and the unknown fault signal simultaneously. A fault estimation-based FTC approach is then given to remove the effects generated by unknown actuator faults, which guarantees that the faulty closed-loop systems are asymptotical stable with a disturbance attenuation level γ. By theory analysis, the Zeno phenomenon is excluded in this study. Finally, a real aircraft engine example is provided to illustrate the feasibility of the proposed integrated FE and FTC method. Journal: International Journal of Systems Science Pages: 3471-3490 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1817611 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1817611 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3471-3490 Template-Type: ReDIF-Article 1.0 Author-Name: Mohamed Yagoubi Author-X-Name-First: Mohamed Author-X-Name-Last: Yagoubi Author-Name: Redouane Chaibi Author-X-Name-First: Redouane Author-X-Name-Last: Chaibi Title: Reflection-based technique for synthesis of structured controllers with guaranteed local convergence Abstract: This paper deals with stabilisation, $H_2 $H2 and $H_\infty $H∞ static output feedback synthesis, under structure constraints for linear time-invariant systems. The proposed approach relies on a prominent property of Hurwitz-stable matrices set and a Douglas-Rachford (DR) reflection method type for finding a point in the intersection of two closed sets. The method proposed in this paper emulates the genericity of the Linear Matrix Inequalities framework while keeping the feedback gain separated from any matrix with direct or indirect connection to the Lyapunov function. The link between the sequence of iterates generated by the proposed algorithm and a continuous dynamical system results in the use of Lyapunov stability theory for guaranteeing the local convergence. Several examples are given to prove the validity of the proposed method. Journal: International Journal of Systems Science Pages: 3491-3502 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1817612 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1817612 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3491-3502 Template-Type: ReDIF-Article 1.0 Author-Name: Hongyao Li Author-X-Name-First: Hongyao Author-X-Name-Last: Li Author-Name: Haibin Sun Author-X-Name-First: Haibin Author-X-Name-Last: Sun Author-Name: Linlin Hou Author-X-Name-First: Linlin Author-X-Name-Last: Hou Title: Adaptive fuzzy PI output feedback bounded control for a class of switched nonlinear systems with input constraint Abstract: In this paper, the problem of adaptive fuzzy proportional integral (PI) output feedback control is addressed for nonstrict-feedback switched nonlinear systems. An adaptive output feedback control scheme is developed, in which the virtual control laws and the final controller are bounded. The bounds are known in advance, and they can be ascertained using the feedback control gains. The first step is to construct a state observer that can estimate the unmeasurable states. The second step is to design an adaptive fuzzy PI output feedback bounded controller by using backstepping method and fuzzy logic systems technique. To guarantee the virtual control laws and a final controller with a specific range, hyperbolic tangent functions and projection operator are introduced. Subsequently, the boundedness of all signals of the closed-loop system is proven via the average dwell time method and Lyapunov stability theory. Simulation results are employed to verify the effectiveness of the developed scheme. Journal: International Journal of Systems Science Pages: 3503-3522 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1817613 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1817613 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3503-3522 Template-Type: ReDIF-Article 1.0 Author-Name: Jiongqi Wang Author-X-Name-First: Jiongqi Author-X-Name-Last: Wang Author-Name: Donghui Lyu Author-X-Name-First: Donghui Author-X-Name-Last: Lyu Author-Name: Zhangming He Author-X-Name-First: Zhangming Author-X-Name-Last: He Author-Name: Haiyin Zhou Author-X-Name-First: Haiyin Author-X-Name-Last: Zhou Author-Name: Dayi Wang Author-X-Name-First: Dayi Author-X-Name-Last: Wang Title: Cauchy kernel-based maximum correntropy Kalman filter Abstract: Non-Gaussian noise processing is a difficult and hot spot in the study of filters. A currently effective method to deal with non-Gaussian noise is replacing the minimum mean square error criterion with the maximum correntropy criterion. Based on the maximum correntropy criterion, maximum correntropy Kalman filter, which usually uses the Gaussian kernel function to define the distance between vectors, is developed. However, when the non-Gaussian noise is multi-dimensional, maximum correntropy Kalman filter tends to break down due to the appearance of singular matrices. To overcome the drawback, a novel filter named Cauchy kernel-based maximum correntropy Kalman filter is proposed, which utilises the Cauchy kernel function to define the distance between vectors. Due to the insensitive feature to the kernel bandwidth and thick-tailed characteristic of the Cauchy kernel function, Cauchy kernel-based maximum correntropy Kalman filter can effectively avoid filter faults and has a better stability. Simulation results demonstrate the excellent performance of the proposed algorithm by comparing it with other conventional methods, such as Kalman filter, ideal Kalman filter, Huber-based filter, Gaussian sum filter and maximum correntropy Kalman filter. Journal: International Journal of Systems Science Pages: 3523-3538 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1817614 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1817614 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3523-3538 Template-Type: ReDIF-Article 1.0 Author-Name: Ning Ji Author-X-Name-First: Ning Author-X-Name-Last: Ji Author-Name: Jinkun Liu Author-X-Name-First: Jinkun Author-X-Name-Last: Liu Author-Name: Hongjun Yang Author-X-Name-First: Hongjun Author-X-Name-Last: Yang Title: Sliding mode control based on RBF neural network for a class of underactuated systems with unknown sensor and actuator faults Abstract: A sliding mode control method is developed in this study for application to a class of underactuated systems with bounded unknown disturbance and sensor and actuator faults. In the proposed method, a robustness item compensates for the bounded unknown disturbance and a Nussbaum function realises sensor and actuator faults tolerance simultaneously, and all signals of the system are proven to be bounded. A radial basis function (RBF) neural network is developed to estimate the unknown functions of the system. Finally, Hurwitz stability analysis is conducted to guarantee the stability of the closed-loop system. Simulations are conducted wherein a coupled motor driving system is placed under the proposed control laws to validate this approach. Journal: International Journal of Systems Science Pages: 3539-3549 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1817615 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1817615 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3539-3549 Template-Type: ReDIF-Article 1.0 Author-Name: Jin-Zi Yang Author-X-Name-First: Jin-Zi Author-X-Name-Last: Yang Author-Name: Yuan-Xin Li Author-X-Name-First: Yuan-Xin Author-X-Name-Last: Li Title: Fuzzy adaptive asymptotic tracking of uncertain nonlinear systems with full states constraints Abstract: In this paper, the fuzzy adaptive tracking control problem is studied for a class of nonlinear strict feedback systems with time-varying full state constraints. For the full state constraints problem, the nonlinear transformation function is used to transform the constraint problem into a non-constraint problem. A new adaptive control framework is proposed for asymptotic tracking of nonlinear systems with unknown virtual control coefficients (UVCC). Under the proposed control scheme, the effects of UVCC and unknown nonlinear functions are compensated by the introduction of some well-defined smoothing functions and boundary estimation methods. In addition, a new Lyapunov function is constructed, which successfully achieves the tracking error of the closed-loop system converge to zero and all the signals in the closed-loop systems are bounded. In the meanwhile, all states are always keep in their asymmetric time-varying constraints. Finally, a numerical example is presented to show the effectiveness of the proposed control scheme. Journal: International Journal of Systems Science Pages: 3550-3562 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1817616 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1817616 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3550-3562 Template-Type: ReDIF-Article 1.0 Author-Name: Yujiao Liu Author-X-Name-First: Yujiao Author-X-Name-Last: Liu Author-Name: Rongqiang Tang Author-X-Name-First: Rongqiang Author-X-Name-Last: Tang Author-Name: Chao Zhou Author-X-Name-First: Chao Author-X-Name-Last: Zhou Author-Name: Zhengrong Xiang Author-X-Name-First: Zhengrong Author-X-Name-Last: Xiang Author-Name: Xinsong Yang Author-X-Name-First: Xinsong Author-X-Name-Last: Yang Title: Event-triggered leader-following consensus of multiple mechanical systems with switched dynamics Abstract: This paper investigates the event-triggered leader-following consensus problem for a class of multiple mechanical systems with switched dynamics. Based on the graph theory, Lyapunov stability theory, backstepping technique and event-triggered control theory, an event-triggered protocol is proposed for the considered multiple mechanical systems. It is proved that the practical leader-following consensus can be achieved by the proposed protocol. Meanwhile, to exclude the Zeno behaviour, a positive lower bound of inter-event intervals is given. Finally, we provide a numerical simulation to illustrate the effectiveness of the given protocol. Journal: International Journal of Systems Science Pages: 3563-3572 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1818146 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1818146 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3563-3572 Template-Type: ReDIF-Article 1.0 Author-Name: Tianyi Zhao Author-X-Name-First: Tianyi Author-X-Name-Last: Zhao Author-Name: Guangren Duan Author-X-Name-First: Guangren Author-X-Name-Last: Duan Title: Design of globally stabilising switching control law for a type of nonlinear systems Abstract: A new energy-optimised switching control law is proposed for a type of nonlinear systems based on orthogonal decomposition Hamiltonian realisation (ODHR). The proposed method guarantees the global asymptotic stability of the zero equilibrium point of the closed-loop system. Different from the existing ODHR-based control-switching strategy, the control law designed in this paper allows multiple control inputs to work simultaneously. Moreover, it is verified that the peak values of the control inputs and the energy consumed by the control inputs are both much smaller compared to the conventional method. A numerical example is considered and comparative simulations are carried out to verify the effect and superiority of the proposed method. Journal: International Journal of Systems Science Pages: 3573-3584 Issue: 16 Volume: 51 Year: 2020 Month: 12 X-DOI: 10.1080/00207721.2020.1819466 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1819466 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:51:y:2020:i:16:p:3573-3584 Template-Type: ReDIF-Article 1.0 Author-Name: Fazhan Tao Author-X-Name-First: Fazhan Author-X-Name-Last: Tao Author-Name: Mengyang Li Author-X-Name-First: Mengyang Author-X-Name-Last: Li Author-Name: Zhumu Fu Author-X-Name-First: Zhumu Author-X-Name-Last: Fu Title: Operator-based robust stability for nonlinear systems with multiple uncertainties using coprime factorisation method Abstract: In this paper, the robust stability of nonlinear systems with multiple uncertainties is considered by using a composite operator-based coprime factorisation method. Firstly, as for the exogenous external disturbance, the disturbance model is considered and the disturbance output is guaranteed to be bounded. Meantime, the adverse effect resulting from it is transformed to an equivalent effect on the stable part of the systems. By using operator-based coprime factorisation method, a feasible framework on multiple uncertainties is obtained. Then, the obtained equivalent effects resulting from the modelled disturbance and adverse effect from the internal perturbation are unified and addressed. Thirdly, sufficient conditions on guaranteeing robust stability of the considered nonlinear systems are considered by using robust coprime factorisation method, for relaxing computation burden on Bezout identity and avoiding requirement on knowing the perturbation signal. Based on the proposed conditions, two controllers are designed and the robust stability of the considered systems is proved. Finally, simulation results are shown to explain the proposed design scheme and confirm its effectiveness of this paper. Journal: International Journal of Systems Science Pages: 1-11 Issue: 1 Volume: 52 Year: 2021 Month: 01 X-DOI: 10.1080/00207721.2020.1773958 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1773958 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:1:p:1-11 Template-Type: ReDIF-Article 1.0 Author-Name: Hassène Gritli Author-X-Name-First: Hassène Author-X-Name-Last: Gritli Author-Name: Ali Zemouche Author-X-Name-First: Ali Author-X-Name-Last: Zemouche Author-Name: Safya Belghith Author-X-Name-First: Safya Author-X-Name-Last: Belghith Title: On LMI conditions to design robust static output feedback controller for continuous-time linear systems subject to norm-bounded uncertainties Abstract: This paper addresses the problem of Static Output Feedback (SOF) stabilisation for continuous-time linear systems subject to norm-bounded parameter uncertainties using the Linear Matrix Inequality (LMI) approach. Usually, this issue leads to the feasibility of a Bilinear Matrix Inequality (BMI), which is difficult to linearise to get non-conservative LMI conditions. We present first, in this paper, some background results on the SOF controller design and that are found to be extended to the case of norm-bounded uncertainties. We show that some restrictions on the feasibility of these results should be guaranteed. Moreover, by means of some technical Lemmas, we transform the BMI into a new LMI with a line search over a scalar variable. An enhanced and less conservative LMI condition with a line search over two scalar variables is also developed. Furthermore, a simplified version of each LMI condition without a priori fixed parameters is also presented. An extensive portfolio of numerical examples is presented in order to evaluate the conservativeness and to show the superiority of the proposed design method to the background results. Journal: International Journal of Systems Science Pages: 12-46 Issue: 1 Volume: 52 Year: 2021 Month: 01 X-DOI: 10.1080/00207721.2020.1818145 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1818145 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:1:p:12-46 Template-Type: ReDIF-Article 1.0 Author-Name: Zhongyuan Zhao Author-X-Name-First: Zhongyuan Author-X-Name-Last: Zhao Author-Name: Gang Chen Author-X-Name-First: Gang Author-X-Name-Last: Chen Title: Event-triggered scheme for zero-gradient-sum optimisation under directed networks with time delay Abstract: The paper investigates the distributed convex optimisation problem of multi-agent systems over strongly connected and balanced digraph with time delay. To reduce the traffic among agents and the control inputs' update frequency, a sample-based distributed event-triggered zero-gradient-sum optimisation algorithm has been proposed. A sufficient stability condition with respect to the related parameters and time delay is derived via the Lyapunov function approach. Moreover, it is proved that the states of agents asymptotically converge to the global optimal point. Since the sampling control is adopted, Zeno behaviour can be naturally excluded. The results of the numerical simulation illustrate the effectiveness of the proposed algorithm. Journal: International Journal of Systems Science Pages: 47-56 Issue: 1 Volume: 52 Year: 2021 Month: 01 X-DOI: 10.1080/00207721.2020.1819467 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1819467 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:1:p:47-56 Template-Type: ReDIF-Article 1.0 Author-Name: Shaoxin Sun Author-X-Name-First: Shaoxin Author-X-Name-Last: Sun Author-Name: Huaguang Zhang Author-X-Name-First: Huaguang Author-X-Name-Last: Zhang Author-Name: Junyi Wang Author-X-Name-First: Junyi Author-X-Name-Last: Wang Author-Name: Baopeng Zhu Author-X-Name-First: Baopeng Author-X-Name-Last: Zhu Title: Multiple delay-dependent H∞ guaranteed cost control for uncertain semi-Markovian jump random nonlinear systems with intermittent actuator and sensor faults and input constraint Abstract: In this study, multiple delay-dependent $H_\infty $ guaranteed cost control is first investigated for uncertain semi-Markovian jump random nonlinear systems with intermittent actuator and sensor faults and input constraint. First, a semi-Markovian jump dynamic output feedback controller is first designed for this model. Multiple delay-dependent noise-to-state stochastic stability conditions are acquired by involving slack matrices by means of bounded real lemma (BRL) as well as linear matrix inequalities (LMIs), leading to the less conservatism. $H_\infty $ control and guaranteed cost control are achieved simultaneously. Finally, the effectiveness and novelty of the approach are demonstrated through three examples. Journal: International Journal of Systems Science Pages: 57-85 Issue: 1 Volume: 52 Year: 2021 Month: 01 X-DOI: 10.1080/00207721.2020.1819468 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1819468 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:1:p:57-85 Template-Type: ReDIF-Article 1.0 Author-Name: Raaed S. Al-Azzawi Author-X-Name-First: Raaed S. Author-X-Name-Last: Al-Azzawi Author-Name: Marwan A. Simaan Author-X-Name-First: Marwan A. Author-X-Name-Last: Simaan Title: On the selection of leader in Stackelberg games with parameter uncertainty Abstract: In leader-follower Stackelberg games, the leader determines and announces its strategy first by anticipating the follower’s reaction function, and the follower determines its strategy as a best response to the leader’s strategy. Thus, there is a perceived advantage in assuming the role of leader in a Stackelberg game. When the roles of the players are not determined a priori, both players must mutually agree on the selection of the leader. Such an agreement is possible only if the players realise that they are both better off with the agreed selection of leader as compared to when the other player is selected as leader. In games with parameter uncertainty, the availability of this option depends on the parameter space over which the game is defined. In this paper, we describe the partitioning of the parameter space to characterise when a Stackelberg solution based on an agreed leader selection exists and when it does not. The resulting partition can then be used to determine the probability of occurrence of all possible games where agreement can and cannot be reached. We illustrate the results using two examples. Journal: International Journal of Systems Science Pages: 86-94 Issue: 1 Volume: 52 Year: 2021 Month: 01 X-DOI: 10.1080/00207721.2020.1820097 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1820097 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:1:p:86-94 Template-Type: ReDIF-Article 1.0 Author-Name: Ye Wang Author-X-Name-First: Ye Author-X-Name-Last: Wang Author-Name: Vicenç Puig Author-X-Name-First: Vicenç Author-X-Name-Last: Puig Author-Name: Gabriela Cembrano Author-X-Name-First: Gabriela Author-X-Name-Last: Cembrano Author-Name: Yuxin Zhao Author-X-Name-First: Yuxin Author-X-Name-Last: Zhao Title: Zonotopic fault detection observer for discrete-time descriptor systems considering − fault sensitivity Abstract: This paper addresses a zonotopic fault detection (FD) observer for discrete-time descriptor systems subject to additive actuator faults. The considered descriptor systems are also perturbed by unknown-but-bounded uncertainties including state disturbances and measurement noise. Under a set-based framework, the effects of uncertainties and faults are separated into two state zonotopes. Based on this decomposition, the FD observer gain is designed to be robust against uncertainties and meanwhile sensitive to faults based on a $\mathcal {H}_{-} $H− index in a finite-frequency domain. Then, two linear matrix inequality (LMI) conditions are obtained to design an observer that achieves robustness and fault sensitivity at the same time. The generalised KYP lemma is applied to address the fault sensitivity condition. The optimal FD observer gain can be obtained via an offline design procedure. Finally, the proposed fault detection method is applied to a chemical mixing system and the effectiveness is shown. Journal: International Journal of Systems Science Pages: 95-109 Issue: 1 Volume: 52 Year: 2021 Month: 01 X-DOI: 10.1080/00207721.2020.1820098 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1820098 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:1:p:95-109 Template-Type: ReDIF-Article 1.0 Author-Name: Jiayun Liu Author-X-Name-First: Jiayun Author-X-Name-Last: Liu Author-Name: Jin Xie Author-X-Name-First: Jin Author-X-Name-Last: Xie Title: Event-triggered zero-gradient-sum distributed optimisation algorithm with time-varying communication delays Abstract: This paper addresses an event-triggered distributed convex optimisation problem over networks with time-varying delays. The communication between agents is triggered by conditions monitored by nodes. The proposed triggering condition is decentralised and does not require continuous communications among agents to calculate the threshold. By constructing a new Lyapunov–Krasovskii function, the optimisation problem is solved, and the explicit sufficient condition for the maximum admissible time delay is derived. Moreover, the Zeno behaviour of the closed-loop system is excluded. Finally, a simulation example is provided to verify the results obtained in this paper. Journal: International Journal of Systems Science Pages: 110-125 Issue: 1 Volume: 52 Year: 2021 Month: 01 X-DOI: 10.1080/00207721.2020.1820622 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1820622 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:1:p:110-125 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaokai Zhai Author-X-Name-First: Xiaokai Author-X-Name-Last: Zhai Author-Name: Huiling Xu Author-X-Name-First: Huiling Author-X-Name-Last: Xu Title: Nonconservative LMI techniques for robust stabilisation of spatially interconnected systems Abstract: This paper is concerned with the robust stabilisation problem of spatially interconnected systems (SISs) with linear fractional transformation (LFT) representation of uncertainties. A robust stabilisability function for SISs is built with the aid of Routh–Hurwitz criterion. By solving two semidefinite programs (SDPs) with sums-of-squares (SOS) polynomial constraints, necessary and sufficient conditions for establishing the existence of robust stabilising controllers are derived, implying that the derived robust stabilisation results are nonconservative. Moreover, a numerically tractable algorithm is proposed to obtain square matrix representation (SMR) of real polynomials, which enables the SOS constraints to be equivalently checked via linear matrix inequalities (LMIs). A simulation example is finally included to demonstrate the efficiency of the proposed method. Journal: International Journal of Systems Science Pages: 126-140 Issue: 1 Volume: 52 Year: 2021 Month: 01 X-DOI: 10.1080/00207721.2020.1820623 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1820623 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:1:p:126-140 Template-Type: ReDIF-Article 1.0 Author-Name: Jipeng Zhao Author-X-Name-First: Jipeng Author-X-Name-Last: Zhao Author-Name: Xiaomei Li Author-X-Name-First: Xiaomei Author-X-Name-Last: Li Author-Name: Shaocheng Tong Author-X-Name-First: Shaocheng Author-X-Name-Last: Tong Title: Fuzzy adaptive dynamic surface control for strict-feedback nonlinear systems with unknown control gain functions Abstract: In this work, the fuzzy adaptive output feedback control is investigated for single-input single-output (SISO) uncertain nonlinear systems in strict-feedback form. The controlled systems under consideration of this work contain the immeasurable states and unknown control gain functions. The immeasurable states are estimated by constructing a fuzzy state observer, and the uncertain nonlinear functions are approximated by fuzzy logic systems. In order to settle the issue of ‘explosion of complexity’ inherent in the conventional backstepping design process, the ‘dynamic surface control’ (DSC) method is introduced. An observer-based fuzzy adaptive control algorithm is proposed by employing the adaptive backstepping control design technique and constructing the Logarithm Lyapunov functions. The designed fuzzy adaptive control scheme can settle the complexity problem of control scheme and insure that the closed-loop system is semi-globally uniformly ultimately boundedness (SGUUB), a simulation example is considered to illustrate the availability of the designed controller. Journal: International Journal of Systems Science Pages: 141-156 Issue: 1 Volume: 52 Year: 2021 Month: 01 X-DOI: 10.1080/00207721.2020.1820624 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1820624 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:1:p:141-156 Template-Type: ReDIF-Article 1.0 Author-Name: Miao Yu Author-X-Name-First: Miao Author-X-Name-Last: Yu Author-Name: Ge Guo Author-X-Name-First: Ge Author-X-Name-Last: Guo Author-Name: Jianchang Liu Author-X-Name-First: Jianchang Author-X-Name-Last: Liu Title: Continuous-time Laguerre-based subspace identification utilising nuclear norm minimisation Abstract: This paper presents a continuous-time Laguerre-based subspace identification method utilising nuclear norm minimisation. The input–output matrix equation of the systems is deduced by a bank of Laguerre filters in all-pass domain, which can deal with the un-equidistant data. Nuclear norm minimisation is adopted, instead of the truncation of dominant singular values, to obtain low-rank matrix approximations which can easily obtain the system order. Furthermore, the optimisation problem is solved by the alternating direction method of multipliers. Simulation results are provided to show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 157-172 Issue: 1 Volume: 52 Year: 2021 Month: 01 X-DOI: 10.1080/00207721.2020.1823047 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1823047 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:1:p:157-172 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaowu Mu Author-X-Name-First: Xiaowu Author-X-Name-Last: Mu Author-Name: Minhong He Author-X-Name-First: Minhong Author-X-Name-Last: He Title: H∞ consensus of multi-agent systems with semi-Markovian switching topologies and mode-dependent delays Abstract: This paper addresses $H_{\infty } $H∞ leader-following consensus of multi-agent systems with semi-Markovian switching topologies and time-varying delays. Unlike the classic Markovian switching topologies, the transition rates are time-varying in the semi-Markovian switching topologies, which can better model the switching of topologies due to inevitable stochastic changes. Moreover, compared with existing works on multi-agent systems with switching topologies and time delays, the delays in the paper are dependent on the switching modes. By designing the distributed mode-dependent consensus protocol and constructing Lyapunov functional, sufficient conditions in terms of LMIs are derived to ensure that $H_{\infty } $H∞ leader-following consensus is asymptotically achieved in the mean square. Finally, a numerical example is provided to show the effectiveness of the main results. Journal: International Journal of Systems Science Pages: 173-184 Issue: 1 Volume: 52 Year: 2021 Month: 01 X-DOI: 10.1080/00207721.2020.1823048 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1823048 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:1:p:173-184 Template-Type: ReDIF-Article 1.0 Author-Name: Guifang Cheng Author-X-Name-First: Guifang Author-X-Name-Last: Cheng Author-Name: Yuanyuan Ju Author-X-Name-First: Yuanyuan Author-X-Name-Last: Ju Author-Name: Xiaowu Mu Author-X-Name-First: Xiaowu Author-X-Name-Last: Mu Title: Stochastic finite-time stability and stabilisation of semi-Markovian jump linear systems with generally uncertain transition rates Abstract: This paper investigates the stochastic finite-time stability and the state feedback controller design for the linear semi-Markovian jump systems with generally uncertain transition rates. Firstly, sufficient condition is established by using a stochastic Lyapunov functional. Secondly, based on the linear matrix inequality condition, the state feedback controller is obtained to guarantee the finite-time stabilisation. Finally, numerical examples are given to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 185-195 Issue: 1 Volume: 52 Year: 2021 Month: 01 X-DOI: 10.1080/00207721.2020.1823518 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1823518 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:1:p:185-195 Template-Type: ReDIF-Article 1.0 Author-Name: Yijing Wang Author-X-Name-First: Yijing Author-X-Name-Last: Wang Author-Name: Rui Zhao Author-X-Name-First: Rui Author-X-Name-Last: Zhao Author-Name: Zhiqiang Zuo Author-X-Name-First: Zhiqiang Author-X-Name-Last: Zuo Author-Name: Shuyang Guan Author-X-Name-First: Shuyang Author-X-Name-Last: Guan Author-Name: Hongchao Li Author-X-Name-First: Hongchao Author-X-Name-Last: Li Title: Event-triggered dynamic anti-windup augmentation for saturated systems Abstract: This paper considers the dynamic output-based event-triggered strategy design for linear systems subject to input saturation. The dynamic event-triggered control reduces the communication burden, and a minimum inter-event time is explicitly provided to exclude Zeno behaviour. A dynamic linear anti-windup augmentation is presented to deal with the input saturation. For the given anti-windup compensator, a criterion is formulated to achieve practical stability with finite $\mathcal {L}_2 $L2 gain. Moreover, an algorithm with projection lemma is proposed to design the anti-windup augmentation when it is unknown. For two special cases, i.e. the anti-windup compensator is static or of the plant-order, the feasibility conditions become convex. Simulations are given to illustrate the theoretical results. Journal: International Journal of Systems Science Pages: 196-216 Issue: 1 Volume: 52 Year: 2021 Month: 01 X-DOI: 10.1080/00207721.2020.1823519 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1823519 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:1:p:196-216 Template-Type: ReDIF-Article 1.0 Author-Name: Ijaz Hussain Author-X-Name-First: Ijaz Author-X-Name-Last: Hussain Author-Name: Xiaoe Ruan Author-X-Name-First: Xiaoe Author-X-Name-Last: Ruan Author-Name: Yan Liu Author-X-Name-First: Yan Author-X-Name-Last: Liu Title: Convergence characteristics of iterative learning control for discrete-time singular systems Abstract: This paper investigates the convergence characteristics of the conventional P-type iterative learning control (ILC) scheme and exploits a gain-adaptive iterative learning control mechanism for a class of linear discrete-time singular systems. Based on the lifted vector technique, the paper reforms the discrete-time singular system as a kind of algebraic input-output transmission. For the conventional P-type ILC scheme, the asymptotical convergence in terms of the tracking-error vector is achieved and the monotonic convergence in the sense of 2-norm of the tracking-error vector is derived. Further, in order to improve the learning performance, a gain-adaptive iterative learning control (GAILC) strategy is developed, which argues the iteration-time-variable gain vector while minimising the increment of quadratic tracking-error vectors of two adjacent iterations. The existence of the optimal gain vector is explored through the optimisation criterion and the algebraic approach of the columns/ rows exchanging transformation of matrix. Then the non-conditionally strictly monotonic convergence of the GAILC is made by studying the eigenvalues of the quadratic function. Finally, the validity and the effectiveness of the P-type ILC are numerically demonstrated and the remarkable outcomes of the GAILC are illustrated. Journal: International Journal of Systems Science Pages: 217-237 Issue: 2 Volume: 52 Year: 2021 Month: 1 X-DOI: 10.1080/00207721.2020.1824030 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1824030 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:2:p:217-237 Template-Type: ReDIF-Article 1.0 Author-Name: Wei Zhang Author-X-Name-First: Wei Author-X-Name-Last: Zhang Author-Name: Yue Cui Author-X-Name-First: Yue Author-X-Name-Last: Cui Author-Name: Xiangxin Ding Author-X-Name-First: Xiangxin Author-X-Name-Last: Ding Author-Name: Zhong Yin Author-X-Name-First: Zhong Author-X-Name-Last: Yin Author-Name: Yagang Wang Author-X-Name-First: Yagang Author-X-Name-Last: Wang Title: A novel tuning method of differential forward robust PID controller for integrating systems plus time delay based on direct synthesis method Abstract: In this paper, a novel tuning rule of differential forward proportional–integral–derivative (PID) controller for integrating systems with time delay is proposed by using the direct synthesis method. This method is based on comparing the characteristic equation of the system which consists of the differential forward PID controller adding a lead-lag filter and the integrating time-delay process with the desired characteristic equation. The desired characteristic equation is obtained by placing a plurality of poles at the same desired position. Parameters of the differential forward PID are tuned to achieve the desired robustness. Tuning rules are given in terms of plant parameters for various kinds of integrating systems. Compared with the conventional PID controller, the proposed method is more effective for frequently changed set-points. Simulations for various integrating processes as well as the non-linear jacketed CSTR system illustrate the applicability and effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 238-262 Issue: 2 Volume: 52 Year: 2021 Month: 1 X-DOI: 10.1080/00207721.2020.1825871 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1825871 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:2:p:238-262 Template-Type: ReDIF-Article 1.0 Author-Name: Furqan Memon Author-X-Name-First: Furqan Author-X-Name-Last: Memon Author-Name: Cheng Shao Author-X-Name-First: Cheng Author-X-Name-Last: Shao Title: Data-driven optimal PID type ILC for a class of nonlinear batch process Abstract: The paper presents model-free proportional–integral–derivative (PID) type iterative learning control (ILC) approach for the nonlinear batch process. The dynamic linearisation method is considered, which uses the input-output (I/O) measurements to update the model at each iteration. Based on the newly updated model and error information of the previous iteration, optimal PID gains are updated iteratively. The quadratic performance index is employed to optimise the parameters of the PID controller, and then an optimal PID type data-driven iterative learning control (DDILC) scheme is established for nonlinear batch process. The convergence analysis of optimal PID type DDILC is also discussed which can be enhanced by the proper choice of penalty matrices. Simulation examples are also given to demonstrate the effectiveness of the proposed scheme. Journal: International Journal of Systems Science Pages: 263-276 Issue: 2 Volume: 52 Year: 2021 Month: 1 X-DOI: 10.1080/00207721.2020.1825872 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1825872 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:2:p:263-276 Template-Type: ReDIF-Article 1.0 Author-Name: Jie Ren Author-X-Name-First: Jie Author-X-Name-Last: Ren Author-Name: Qiang Song Author-X-Name-First: Qiang Author-X-Name-Last: Song Author-Name: Yanbo Gao Author-X-Name-First: Yanbo Author-X-Name-Last: Gao Author-Name: Min Zhao Author-X-Name-First: Min Author-X-Name-Last: Zhao Author-Name: Guoping Lu Author-X-Name-First: Guoping Author-X-Name-Last: Lu Title: Leader-following consensus of nonlinear singular multi-agent systems under signed digraph Abstract: This paper investigates the leader-following consensus problem for a singular multi-agent system with nonlinear dynamics and signed digraph topology. Firstly, an algorithm is proposed to address the structural balance problem of the signed network, which is suitable for all types of signed graphs. Secondly, by using M-matrix theory, the bipartite consensus conditions for the singular nonlinear multi-agent system are established when the topology digraph is structurally balanced. Thirdly, the global asymptotic stability conditions are presented when the signed network is structurally unbalanced. Both the controllers are designed by using pinning control strategies. Finally, numerical examples are given to illustrate the correctness and effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 277-290 Issue: 2 Volume: 52 Year: 2021 Month: 1 X-DOI: 10.1080/00207721.2020.1825873 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1825873 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:2:p:277-290 Template-Type: ReDIF-Article 1.0 Author-Name: Caiyun Wang Author-X-Name-First: Caiyun Author-X-Name-Last: Wang Author-Name: Xiaoping Liu Author-X-Name-First: Xiaoping Author-X-Name-Last: Liu Author-Name: Huanqing Wang Author-X-Name-First: Huanqing Author-X-Name-Last: Wang Title: An adaptive fault-tolerant control scheme for a class of fractional-order systems with unknown input dead-zones Abstract: An adaptive backstepping fault-tolerant control scheme is presented for a class of fractional-order systems in the presence of unknown input dead-zones. The proposed fault-tolerant control scheme ensures all the closed-loop signals are bounded ultimately. Especially, the tracking error can be made as small as possible by choosing appropriate design parameters. Furthermore, this scheme not only works for fractional-order systems with unknown linear terms but also works for these with unknown nonlinear terms. Finally, several practical examples are simulated to verify the effectiveness of the proposed fault-tolerant control scheme. Journal: International Journal of Systems Science Pages: 291-306 Issue: 2 Volume: 52 Year: 2021 Month: 1 X-DOI: 10.1080/00207721.2020.1825874 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1825874 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:2:p:291-306 Template-Type: ReDIF-Article 1.0 Author-Name: Wei Wu Author-X-Name-First: Wei Author-X-Name-Last: Wu Author-Name: Shaocheng Tong Author-X-Name-First: Shaocheng Author-X-Name-Last: Tong Title: Robust adaptive fuzzy control for non-strict feedback switched nonlinear systems with unmodeled dynamics Abstract: In this paper, a novel fuzzy adaptive output-feedback control design scheme is concerned for a class of non-strict feedback switched nonlinear systems. The considered nonlinear system contains arbitrary switching, unmodeled dynamics, unmeasured states, and unknown nonlinearities. In the design process, fuzzy logic systems (FLSs) are utilised to identify the unknown nonlinear functions. A state observer without depending on the switching signal is constructed to deal with the unmeasured states. By combining adaptive backstepping with dynamic surface control (DSC) technique, a fuzzy adaptive control scheme is presented to overcomes the ‘explosion of complexity’ problem. It is proved that all the signals of the closed-loop system can be bounded by the common Lyapunov function theory. Finally, a simulation example is provided to elaborate the feasibility and effectiveness of the proposed control method. Journal: International Journal of Systems Science Pages: 307-320 Issue: 2 Volume: 52 Year: 2021 Month: 1 X-DOI: 10.1080/00207721.2020.1827078 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1827078 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:2:p:307-320 Template-Type: ReDIF-Article 1.0 Author-Name: Yamei Ju Author-X-Name-First: Yamei Author-X-Name-Last: Ju Author-Name: Yang Liu Author-X-Name-First: Yang Author-X-Name-Last: Liu Author-Name: Xiao He Author-X-Name-First: Xiao Author-X-Name-Last: He Author-Name: Bangcheng Zhang Author-X-Name-First: Bangcheng Author-X-Name-Last: Zhang Title: Finite-horizon H∞ filtering and fault isolation for a class of time-varying systems with sensor saturation Abstract: This paper is concerned with the finite-horizon $H_{\infty } $H∞ filtering and fault isolation problems for a class of discrete time-varying systems subject to possible actuator fault and sensor saturation. A set of filters are designed and the residual signal is generated for a specific actuator fault. A residual matching approach is proposed to isolate different actuator failures once they are detected. The purpose of the addressed problem is to detect and isolate the fault such that the influence from the disturbances onto the errors satisfies the $H_{\infty } $H∞ performance index. By using the stochastic analysis techniques and completing squares method, sufficient conditions are established for the existence of the desired filters, whose parameters can be iteratively calculated online by solving a series of recursive Riccati different equations (RDEs), in a given finite horizon. The effectiveness of the proposed method is demonstrated via a simulation example. Journal: International Journal of Systems Science Pages: 321-333 Issue: 2 Volume: 52 Year: 2021 Month: 1 X-DOI: 10.1080/00207721.2020.1829160 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1829160 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:2:p:321-333 Template-Type: ReDIF-Article 1.0 Author-Name: C. Treesatayapun Author-X-Name-First: C. Author-X-Name-Last: Treesatayapun Title: Prescribed performance controller with affine equivalent model for a class of unknown nonlinear discrete-time systems Abstract: The prescribed performance control is established for a class of unknown nonlinear discrete-time systems. The affine equivalent model is utilised for both positive and negative control directions by fuzzy-rules emulated networks. The tracking error converges to a small residual boundary inaugurated under prescribed performance according to model error and uncertainties. Furthermore, the robust gain developed by the proposed controller enhances the closed-loop performance over the unknown but bounded disturbance. The validation of the proposed scheme is verified by simulation results and the experimental system. Journal: International Journal of Systems Science Pages: 334-349 Issue: 2 Volume: 52 Year: 2021 Month: 1 X-DOI: 10.1080/00207721.2020.1829161 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1829161 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:2:p:334-349 Template-Type: ReDIF-Article 1.0 Author-Name: Zhenyu Liu Author-X-Name-First: Zhenyu Author-X-Name-Last: Liu Author-Name: Shi Liang Author-X-Name-First: Shi Author-X-Name-Last: Liang Author-Name: Chan Qiu Author-X-Name-First: Chan Author-X-Name-Last: Qiu Author-Name: Xiang Peng Author-X-Name-First: Xiang Author-X-Name-Last: Peng Author-Name: Jianrong Tan Author-X-Name-First: Jianrong Author-X-Name-Last: Tan Title: On stability and convergence of suboptimal estimation for systems over lossy networks without acknowledgement Abstract: This paper concentrates on the suboptimal state estimation problem for systems without acknowledgement (ACK). The ACK signal is used for informing the estimator of whether control-input packets have been lost during the transmission or not. For such systems, which are usually regarded as NACK systems, the optimal estimator has been proved to be beset by exponentially increasing computational burden so that it is scarcely possible to be implemented in practice and then the suboptimal estimation becomes a necessary need. Inspired by the idea of multiple-model approaches, we first design an efficient suboptimal estimator for NACK systems to significantly improve computational efficiency. More importantly, we obtained a sufficient and necessary condition to characterise the stability of this proposed suboptimal estimator, which depends only on the packet loss rate (PLR) of the observation regardless of the control-input PLR. We also prove that its estimation error will converge to that of the optimal estimator under a certain condition. A distinguishing feature of the suboptimal estimator proposed in this paper is that not only its stability and convergence can be determined theoretically, but also they are proved to be the same as those of the optimal one for NACK systems. Journal: International Journal of Systems Science Pages: 350-362 Issue: 2 Volume: 52 Year: 2021 Month: 1 X-DOI: 10.1080/00207721.2020.1829162 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1829162 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:2:p:350-362 Template-Type: ReDIF-Article 1.0 Author-Name: Rui-Qi Dong Author-X-Name-First: Rui-Qi Author-X-Name-Last: Dong Author-Name: Ying Zhang Author-X-Name-First: Ying Author-X-Name-Last: Zhang Author-Name: Ai-Guo Wu Author-X-Name-First: Ai-Guo Author-X-Name-Last: Wu Title: Weighted hierarchical stochastic gradient identification algorithms for ARX models Abstract: In this paper, a weighted hierarchical stochastic gradient algorithm and a latest estimation-based weighted hierarchical stochastic gradient algorithm for ARX models are proposed. Different from some existing stochastic gradient algorithms, the correction term of the developed algorithms is in a weighted form of the correction terms in the current and last recursive steps of the hierarchical stochastic gradient algorithm. Further, the convergence property of the presented latest estimation-based weighted hierarchical stochastic gradient algorithm is analysed. It is illustrated by a numerical example that both the weighted hierarchical stochastic gradient and the latest estimation-based weighted hierarchical stochastic gradient algorithms possess higher convergence accuracy compared with some existing hierarchical stochastic gradient algorithms if the weighting factor is appropriately chosen. Journal: International Journal of Systems Science Pages: 363-373 Issue: 2 Volume: 52 Year: 2021 Month: 1 X-DOI: 10.1080/00207721.2020.1829163 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1829163 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:2:p:363-373 Template-Type: ReDIF-Article 1.0 Author-Name: Zifan Gao Author-X-Name-First: Zifan Author-X-Name-Last: Gao Author-Name: Dawei Zhang Author-X-Name-First: Dawei Author-X-Name-Last: Zhang Author-Name: Shuqian Zhu Author-X-Name-First: Shuqian Author-X-Name-Last: Zhu Author-Name: Baolin Zhang Author-X-Name-First: Baolin Author-X-Name-Last: Zhang Title: Network-based reference model tracking for vehicle turning with event-triggered transmission and interval communication delays Abstract: This paper deals with the network-based modelling and reference model tracking control of four-wheel-independent-drive electric vehicles for turning purpose. First, a reference model is designed by adjusting its input to characterise the expected neutral turning of the vehicle. By considering event-triggered transmission and interval communication delays, the network-based tracking control system attaining vehicle turning is modelled as an interval input delay system, where the input delay is bounded by the bounds of communication delays and the sampling period. Second, a new delay-dependent bounded real lemma with less conservatism is derived by proposing a matrix-based binary quadratic convex method, constructing a discontinuous augmented Lyapunov–Krasovskii functional tailored based on second-order Bessel–Legendre inequality, and exploiting the relation among the upper bounds of input delay and interval communication delays, and the sampling period. Third, the network-based $H_\infty $H∞ tracking controller design result is further established by linear matrix inequalities. Finally, an example is provided to confirm the superiority of the analysis results and the effectiveness of control design. Journal: International Journal of Systems Science Pages: 374-391 Issue: 2 Volume: 52 Year: 2021 Month: 1 X-DOI: 10.1080/00207721.2020.1829164 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1829164 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:2:p:374-391 Template-Type: ReDIF-Article 1.0 Author-Name: Renke He Author-X-Name-First: Renke Author-X-Name-Last: He Author-Name: Shuxin Chen Author-X-Name-First: Shuxin Author-X-Name-Last: Chen Author-Name: Hao Wu Author-X-Name-First: Hao Author-X-Name-Last: Wu Author-Name: Fengzhe Zhang Author-X-Name-First: Fengzhe Author-X-Name-Last: Zhang Author-Name: Kun Chen Author-X-Name-First: Kun Author-X-Name-Last: Chen Title: Efficient extended cubature Kalman filtering for nonlinear target tracking Abstract: For states estimation problem of continuous–discrete systems, the numerical approximation methods with high order of accuracy are commonly used to build the continuous–discrete filtering algorithms. However, there is a common contradiction between the computational efficiency and the accuracy. In order to improve the efficiency of state estimation in the continuous–discrete filtering method, continuous–discrete extended cubature Kalman filtering based on Adams–Bashforth–Moulton (ABM) numerical approximation is proposed. ABM is the linear multi-step numerical method, which can achieve the fourth-order accuracy for solving the differential state equation, and its ‘predictor–corrector’ mathematic structure is relatively simple. The performances of ABM method are theoretically analysed; the mixed-type filtering method for continuous–discrete nonlinear states estimation is proposed to integrate the best features of extended Kalman filtering and cubature Kalman filtering. More precisely, the time updates are deduced by extended Kalman filtering whereas the measurement updates are conducted by the third-degree spherical-radial cubature rule. The superior performances of proposed method are illustrated in the simulations under the conditions of different step-sizes and sampling periods. Journal: International Journal of Systems Science Pages: 392-406 Issue: 2 Volume: 52 Year: 2021 Month: 1 X-DOI: 10.1080/00207721.2020.1829165 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1829165 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:2:p:392-406 Template-Type: ReDIF-Article 1.0 Author-Name: Yifang Yan Author-X-Name-First: Yifang Author-X-Name-Last: Yan Author-Name: Chunyu Yang Author-X-Name-First: Chunyu Author-X-Name-Last: Yang Author-Name: Xiaoping Ma Author-X-Name-First: Xiaoping Author-X-Name-Last: Ma Author-Name: Linna Zhou Author-X-Name-First: Linna Author-X-Name-Last: Zhou Title: Event-triggered H∞ filtering for singularly perturbed systems with external disturbance Abstract: The problem of event-triggered $H_{\infty } $H∞ filter design for singularly perturbed systems (SPSs) with external disturbance is investigated in this paper. A scheme consisting of an event-triggered mechanism (ETM) and an $H_{\infty } $H∞ filter is considered. Firstly, $h_{0} $h0-dependent sufficient conditions are derived via constructing an ϵ-dependent Lyapunov–Krasovskii functional, where the conditions ensure that the SPSs are asymptotically stable avoiding Zeno phenomenon. Then, the ETM and the $H_{\infty } $H∞ filter are designed simultaneously on the basis of the aforementioned criteria. Finally, an RC circuit system is presented to demonstrate the effectiveness and superiority of the obtained method. Journal: International Journal of Systems Science Pages: 407-421 Issue: 2 Volume: 52 Year: 2021 Month: 1 X-DOI: 10.1080/00207721.2020.1829166 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1829166 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:2:p:407-421 Template-Type: ReDIF-Article 1.0 Author-Name: Guangren Duan Author-X-Name-First: Guangren Author-X-Name-Last: Duan Title: High-order fully actuated system approaches: Part I. Models and basic procedure Abstract: The state-space approaches have stayed in an absolutely dominant position in the field of systems and control for over a half century. Although a state-space representation is more suitable for deriving the state-response solution and observation (estimation), it does not provide as much convenience as desired for the control problem. In this paper, the concept of high-order fully actuated (HOFA) systems is firstly revisited, and it is pointed out that HOFA systems serve really as models for control systems rather than representing a small portion of physical control systems. Based on the HOFA model, a basic procedure is proposed for control of nonlinear systems satisfying certain conditions, whose first step converts the nonlinear systems into a pseudo strict-feedback system, and the second step establishes the HOFA model of the system. Once an HOFA model is derived, a controller can be immediately designed to make the closed-loop system a constant linear one with a desired eigenstructure. All the design degrees of freedom existing in the closed-loop system are also provided, which can be further utilised to achieve additional system performance. An example demonstrates the design procedure and shows the effect of the proposed HOFA approach. Journal: International Journal of Systems Science Pages: 422-435 Issue: 2 Volume: 52 Year: 2021 Month: 1 X-DOI: 10.1080/00207721.2020.1829167 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1829167 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:2:p:422-435 Template-Type: ReDIF-Article 1.0 Author-Name: Guangren Duan Author-X-Name-First: Guangren Author-X-Name-Last: Duan Title: High-order fully actuated system approaches: Part II. Generalized strict-feedback systems Abstract: An advantage of a high-order fully-actuated (HOFA) system is that there exists a controller such that a constant linear closed-loop system with an arbitrarily assignable eigenstructure can be obtained. In this paper, a generalised form of the conventional first-order strict-feedback systems (SFSs) is firstly proposed, and a recursive solution is proposed to convert equivalently the generalised SFS into a HOFA model. Then the second- and high-order SFSs are defined and their equivalent HOFA models are also derived. It is further shown that, under certain common conditions, the recursive solutions for converting the generalised SFSs into HOFA models can be rearranged into direct analytical explicit solutions. Such a high-order system approach is more direct and simpler than the first-order system approach since it avoids the process of converting firstly these second- and high-order SFSs into first-order ones for control, and can finally produce a constant linear closed-loop system. Particularly, it is more effective than the well-known method of backstepping since, for the generalised complicated SFSs with more subsystems, the method of backstepping may simply be not applicable due to more serious ‘differential explosion’ problem. Two examples are worked out to demonstrate the effect of the approach. Journal: International Journal of Systems Science Pages: 437-454 Issue: 3 Volume: 52 Year: 2021 Month: 2 X-DOI: 10.1080/00207721.2020.1829168 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1829168 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:3:p:437-454 Template-Type: ReDIF-Article 1.0 Author-Name: Yi-Shao Huang Author-X-Name-First: Yi-Shao Author-X-Name-Last: Huang Author-Name: Lei Han Author-X-Name-First: Lei Author-X-Name-Last: Han Author-Name: Zhengwu Wang Author-X-Name-First: Zhengwu Author-X-Name-Last: Wang Title: Combined indirect & direct adaptive fuzzy decentralised control of large-scale systems with strong interconnection and its application Abstract: To achieve better adaptation properties, the proposed controller is a weighted combination of indirect and direct adaptive fuzzy controls such that both fuzzy descriptions and control rules can be incorporated under a united controller design at the same time. By using fuzzy systems and robust control technique, the interconnections between subsystems are extended to general unknown nonlinear functions. No a priori knowledge of lower and upper bounds on lumped uncertainties is required to construct each local controller. The resulting closed-loop large-scale system is proved to be asymptotically stable. The controller design is applicable to an automated highway system, and simulation results confirm its practical usefulness. Journal: International Journal of Systems Science Pages: 455-467 Issue: 3 Volume: 52 Year: 2021 Month: 2 X-DOI: 10.1080/00207721.2020.1829741 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1829741 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:3:p:455-467 Template-Type: ReDIF-Article 1.0 Author-Name: Mengmeng Li Author-X-Name-First: Mengmeng Author-X-Name-Last: Li Author-Name: Yuan Li Author-X-Name-First: Yuan Author-X-Name-Last: Li Author-Name: Qinglin Wang Author-X-Name-First: Qinglin Author-X-Name-Last: Wang Title: Second-order adaptive discrete-time fast terminal sliding mode control of a DEAP actuator with hysteresis nonlinearity Abstract: This paper investigates trajectory tracking control of a dielectric electro-active polymers (DEAP) actuator with hysteresis nonlinearity by using second-order adaptive discrete-time fast terminal sliding mode control (2-ADFTSMC) scheme. Taking into account that the hysteresis behaviour is asymmetric rate-dependent, a Hammerstein model is established to represent the DEAP actuator. Then, based on a novel 2-ADFTSM function and a terminal-sliding-mode-type switching control law, a 2-ADFTSMC scheme is proposed to improve the trajectory tracking performance. Furthermore, the stability of the closed-loop system is proved. Compared with discrete-time sliding mode control (DSMC) and discrete-time fast terminal sliding mode control (DFTSMC) schemes, the proposed control scheme can provide higher tracking accuracy, faster convergence speed, and stronger robustness in presence of model uncertainties and external disturbances. The effectiveness and practicality of the proposed control scheme are validated through the experiments on the DEAP actuator. Journal: International Journal of Systems Science Pages: 468-492 Issue: 3 Volume: 52 Year: 2021 Month: 2 X-DOI: 10.1080/00207721.2020.1830197 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1830197 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:3:p:468-492 Template-Type: ReDIF-Article 1.0 Author-Name: Jianjun Wang Author-X-Name-First: Jianjun Author-X-Name-Last: Wang Author-Name: Renato De Leone Author-X-Name-First: Renato Author-X-Name-Last: De Leone Author-Name: Shihua Fu Author-X-Name-First: Shihua Author-X-Name-Last: Fu Author-Name: Jianwei Xia Author-X-Name-First: Jianwei Author-X-Name-Last: Xia Author-Name: Lishan Qiao Author-X-Name-First: Lishan Author-X-Name-Last: Qiao Title: Event-triggered control design for networked evolutionary games with time invariant delay in strategies Abstract: This paper investigates the dynamics and control problem for a class of networked evolutionary games with time invariant delay (DNEGs) in strategies by using a semi-tensor product based method. A number of new results are presented. First, algebraic forms are constructed for DNEGs. Second, based on the algebraic formulations, necessary and sufficient conditions for the global convergence of desired strategy profile are presented under a state feedback event-triggered controller. Furthermore, the constructive procedure and the number of all valid event-triggered state feedback controllers are derived, which can make the game converge globally. Finally, an illustrative example is given to show the effectiveness of the obtained results. Journal: International Journal of Systems Science Pages: 493-504 Issue: 3 Volume: 52 Year: 2021 Month: 2 X-DOI: 10.1080/00207721.2020.1831646 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1831646 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:3:p:493-504 Template-Type: ReDIF-Article 1.0 Author-Name: Jing He Author-X-Name-First: Jing Author-X-Name-Last: He Author-Name: Yan Liang Author-X-Name-First: Yan Author-X-Name-Last: Liang Author-Name: Feisheng Yang Author-X-Name-First: Feisheng Author-X-Name-Last: Yang Title: Robust control for a class of cyber-physical systems with multi-uncertainties Abstract: In this paper, the important issue is proposed, that is, the robust control of a class of cyber-physical systems (CPSs) in the complex environment where unknown disturbances, unknown bounded delays and stochastic malicious attacks coexist. A Lyapunov–Krasovskii functional (LKF) containing certain double and triple integral terms is constructed to exploit merits of the presented generalised single and double integral inequalities which are tighter than some existing single and double inequalities, leading to the stability analysis result with less conservatism. Furthermore, by using stochastic analysis technique, the stability analysis and $H_{\infty }$H∞ output feedback controller design are transformed into the convex optimisation problems solved by the linear matrix inequality (LMI) strategy. Finally, the actual load frequency control (LFC) power system and the classical numerical examples are provided to show the rationality for modelling and the advancement of the developed method. Journal: International Journal of Systems Science Pages: 505-524 Issue: 3 Volume: 52 Year: 2021 Month: 2 X-DOI: 10.1080/00207721.2020.1831647 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1831647 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:3:p:505-524 Template-Type: ReDIF-Article 1.0 Author-Name: Hailong Wang Author-X-Name-First: Hailong Author-X-Name-Last: Wang Author-Name: Yanhui Tong Author-X-Name-First: Yanhui Author-X-Name-Last: Tong Author-Name: Dongmei Xu Author-X-Name-First: Dongmei Author-X-Name-Last: Xu Author-Name: Wanqing Song Author-X-Name-First: Wanqing Author-X-Name-Last: Song Title: Finite-time H∞ control for discrete-time switched systems with admissible edge-dependent average dwell time Abstract: This paper is concerned with finite-time ${{H}_{\infty }} $H∞ control for discrete-time switched linear systems via admissible edge-dependent switching. The admissible edge-dependent average dwell-time (AED–ADT) is employed to identify a class of constrained switching signals for the resulting closed-loop system. Moreover, multiple discontinuous Lyapunov function (MDLF) approach, which is less conservative than the traditional multiple Lyapunov function (MLF) method, is used to analyse the closed-loop stability and ${{H}_{\infty }} $H∞ performance by incorporating the idea of AED–ADT. By constructing the MDLFs in quadratic forms, a synthesis condition for finite-time bounded control is first proposed, then a synthesis condition for finite-time ${{H}_{\infty }} $H∞ control is further developed based on the obtained result. Finally, two simulation examples are given to verify the effectiveness and practicability of the presented control synthesis method. Journal: International Journal of Systems Science Pages: 525-540 Issue: 3 Volume: 52 Year: 2021 Month: 02 X-DOI: 10.1080/00207721.2020.1832284 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1832284 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:3:p:525-540 Template-Type: ReDIF-Article 1.0 Author-Name: Alejandra Hernandez-Sanchez Author-X-Name-First: Alejandra Author-X-Name-Last: Hernandez-Sanchez Author-Name: Olga Andrianova Author-X-Name-First: Olga Author-X-Name-Last: Andrianova Author-Name: Alexander Poznyak Author-X-Name-First: Alexander Author-X-Name-Last: Poznyak Author-Name: Isaac Chairez Author-X-Name-First: Isaac Author-X-Name-Last: Chairez Title: Tridimensional autonomous motion robust control of submersible ship based on averaged sub-gradient integral sliding mode approach Abstract: The design of a state feedback and robust controller for regulating the tridimensional (3D) movement of autonomous underwater mobile crafts (AUMCs). The controller design is based on the application of Averaged Sub-Gradient Integral Sliding Mode Realisation (ASGISMR). The application of the ASGISMR yields the solution of the closed-loop extreme seeking control for a non-strictly convex functional depending on the tracking error between reference and 3D position of the AUMC. The design of reference trajectories was proposed to enforce the AUMC to follow a continued submersion and ellipsoidal detouring. The mechanical dynamical form of AUMC is well posed for applying the extended version of ASGISMR, considering that integral term represents an ASG associated to the euclidean norm of the tracking error. The time evolution of the functional over the controlled trajectories of the AUMC is compared with the corresponding functional enforced by a traditional state feedback controller with gravity effect compensation. The proposed controller exhibits better tracking and similar control magnitude than the considered reference state feedback realisation. These outcomes justify the potential contributions of the suggested ASGISMR to obtain the local minimisation of the evaluated functional, considering such controller as an extreme seeking realisation for the proposed AUMC. Journal: International Journal of Systems Science Pages: 541-554 Issue: 3 Volume: 52 Year: 2021 Month: 2 X-DOI: 10.1080/00207721.2020.1832285 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1832285 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:3:p:541-554 Template-Type: ReDIF-Article 1.0 Author-Name: Omid Elhaki Author-X-Name-First: Omid Author-X-Name-Last: Elhaki Author-Name: Khoshnam Shojaei Author-X-Name-First: Khoshnam Author-X-Name-Last: Shojaei Title: Robust prescribed performance-based control of autonomous tractor-trailers convoy with limited communication range Abstract: This paper investigates the problem of a nonlinear platoon controller design for a group of autonomous tractor-trailers with limited communication ranges in order to increase the load transportation capacity. The main control objective is to force each consecutive pair of tractor-trailers to follow each other in a convoy-like formation based on their posture and velocity measurements in the presence of unmodelled dynamics and external disturbances. The prescribed performance strategy is effectively applied to the relative range and angle between each successive pair in the group to preserve their connectivity without any possible collision by defining some preassigned performance characteristics on the transient and steady-state responses. A high-gain observer, an adaptive robust controller and a three-layer neural network are heuristically utilised to develop an efficient robust output-feedback platoon controller as well. The stability of the entire state-feedback and output-feedback control system is investigated by the Lyapunov stability method and some numerical simulations are presented to validate the controller efficiency in an autonomous transportation application. Journal: International Journal of Systems Science Pages: 555-582 Issue: 3 Volume: 52 Year: 2021 Month: 2 X-DOI: 10.1080/00207721.2020.1834004 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1834004 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:3:p:555-582 Template-Type: ReDIF-Article 1.0 Author-Name: Tianyi Zhao Author-X-Name-First: Tianyi Author-X-Name-Last: Zhao Author-Name: Guangren Duan Author-X-Name-First: Guangren Author-X-Name-Last: Duan Title: Disturbance attenuation in observer design for linear systems – a new parametric approach Abstract: In this paper, a new parametric approach is developed for disturbance attenuation in observer design of linear time-invariant systems. First, based on the general solution to a type of generalised Sylvester equations, a complete parametric form of the observer gain matrix is established. Secondly, a new disturbance attenuation index is introduced, and the parameters are further optimised to minimise the index. Under certain conditions, the optimal solution of this optimisation problem is obtained. Finally, the proposed method is used to design the robust observer for the yaw/roll channel attitude control system of a nonrotating missile. It is verified from the simulation results that the proposed method shows a stronger tolerance to disturbances compared with the traditional robust pole assignment method. Journal: International Journal of Systems Science Pages: 583-595 Issue: 3 Volume: 52 Year: 2021 Month: 2 X-DOI: 10.1080/00207721.2020.1834005 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1834005 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:3:p:583-595 Template-Type: ReDIF-Article 1.0 Author-Name: Meysam Azhdari Author-X-Name-First: Meysam Author-X-Name-Last: Azhdari Author-Name: Tahereh Binazadeh Author-X-Name-First: Tahereh Author-X-Name-Last: Binazadeh Title: Output tracker design for uncertain nonlinear sandwich systems with sandwiched dead-zone nonlinearity based on adaptive finite-time control Abstract: This paper addresses the adaptive finite-time tracking problem for nonlinear sandwich systems with dead-zone nonlinearity and full state constraints. The existence of the non-smooth dead-zone nonlinearity between the subsystems of the sandwich system makes the controller design as a challenging task. In this paper, a novel adaptive backstepping controller is proposed by employing the finite-time stability theorem and based on the barrier Lyapunov functions and finite-time command filters. The proposed controller guarantees the output tracking of the specified time-varying reference signal with the sufficiently small bounded tracking error in a finite-time. Moreover, all states of the controlled system are confined to predefined compact sets. To verify the theoretical achievements and show the applicability of the proposed method, simulation results are provided for both numerical and practical examples. Journal: International Journal of Systems Science Pages: 596-611 Issue: 3 Volume: 52 Year: 2021 Month: 2 X-DOI: 10.1080/00207721.2020.1834641 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1834641 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:3:p:596-611 Template-Type: ReDIF-Article 1.0 Author-Name: Rodrigo da Ponte Caun Author-X-Name-First: Rodrigo Author-X-Name-Last: da Ponte Caun Author-Name: Edvaldo Assunção Author-X-Name-First: Edvaldo Author-X-Name-Last: Assunção Author-Name: Marcelo Carvalho Minhoto Teixeira Author-X-Name-First: Marcelo Carvalho Author-X-Name-Last: Minhoto Teixeira Title: H2/H∞ formulation of LQR controls based on LMI for continuous-time uncertain systems Abstract: The classical theory of linear matrix inequality (LMI)-based linear quadratic regulator (LQR) control that is well established in literature does not provide, in the controller project phase, the occurrence of exogenous inputs acting on the plants. Therefore, this study proposes sufficient conditions for the robust synthesis of a mixed ${\mathcal H}_2$H2/${\mathcal H}_\infty$H∞ control of the LQR problem. A new mixed polytopic and norm-bounded uncertainties representation for linear time-invariant uncertain systems allows to express different uncertainty models in one single LMI by using the S-procedure. As an additional objective, we propose the study of the robustness of controllers concerned with the sensibility of their coefficients, in such a way that the variations in controller gain matrix are described by norm-bounded uncertainties. A practical implementation in Quanser$^{\circledR}$® active suspension evaluates the control projects through the rejection level of vibrations caused by track irregularities. Journal: International Journal of Systems Science Pages: 612-634 Issue: 3 Volume: 52 Year: 2021 Month: 2 X-DOI: 10.1080/00207721.2020.1836283 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1836283 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:3:p:612-634 Template-Type: ReDIF-Article 1.0 Author-Name: Xuefeng Chen Author-X-Name-First: Xuefeng Author-X-Name-Last: Chen Author-Name: Huiling Xu Author-X-Name-First: Huiling Author-X-Name-Last: Xu Author-Name: Xiaokai Zhai Author-X-Name-First: Xiaokai Author-X-Name-Last: Zhai Author-Name: Zhiping Lin Author-X-Name-First: Zhiping Author-X-Name-Last: Lin Title: Generalised KYP lemma with its application in finite frequency H∞ distributed filter design for nonideally interconnected networked control systems Abstract: This paper addresses the generalised Kalman-Yakubovich-Popov (GKYP) lemma and its application in finite frequency (FF) $H_\infty$H∞ distributed filter design for networked control systems (NCSs). The network communication channels between subsystems are considered to be affected by uncertainties. Firstly, based on the proposed linear matrix inequality characterisation for an FF region and S-procedure, a GKYP lemma is presented for NCSs. After that, the FF bounded realness and FF positive realness in terms of individual subsystems are studied as special cases of the proposed GKYP lemma. Moreover, as an application of the developed GKYP lemma, the FF $H_\infty$H∞ distributed filtering problem for nonideally interconnected NCS is studied. Finally, illustrative examples are given to show that the developed EF methods have less conservation than the common method over the entire frequency region. Journal: International Journal of Systems Science Pages: 635-656 Issue: 3 Volume: 52 Year: 2021 Month: 2 X-DOI: 10.1080/00207721.2020.1837286 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1837286 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:3:p:635-656 Template-Type: ReDIF-Article 1.0 Author-Name: Fei Shen Author-X-Name-First: Fei Author-X-Name-Last: Shen Author-Name: Xinjun Wang Author-X-Name-First: Xinjun Author-X-Name-Last: Wang Author-Name: Xinghui Yin Author-X-Name-First: Xinghui Author-X-Name-Last: Yin Title: Adaptive output-feedback control for a class of stochastic nonlinear systems with unknown control directions and hysteresis input Abstract: This paper is concerned with an adaptive neural output-feedback control for a class of stochastic nonlinear systems with unknown control directions and hysteresis input. An output-feedback controller is developed for stochastic nonlinear via using radial basis function neural networks (RBFNNs) and adaptive backstepping method. A state observer is designed to estimate the unmeasurable system state signals. Nussbaum gain technique is employed to deal with the unknown control directions. Simultaneously, the backlash-like hysteresis input control in this paper is considered. An adaptive controller is designed to ensure that the output tracking error converges on a small region of the origin. Finally, the control scheme ensures that all signals in the closed-loop systems are semi-global uniformly ultimately bounded. Results of simulation cases are presented to prove the effectivity of the theoretical analysis. Journal: International Journal of Systems Science Pages: 657-670 Issue: 3 Volume: 52 Year: 2021 Month: 02 X-DOI: 10.1080/00207721.2020.1837287 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1837287 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:3:p:657-670 Template-Type: ReDIF-Article 1.0 Author-Name: Miguel Gabriel Villarreal-Cervantes Author-X-Name-First: Miguel Gabriel Author-X-Name-Last: Villarreal-Cervantes Author-Name: Jesús Said Pantoja-García Author-X-Name-First: Jesús Said Author-X-Name-Last: Pantoja-García Author-Name: Alejandro Rodríguez-Molina Author-X-Name-First: Alejandro Author-X-Name-Last: Rodríguez-Molina Author-Name: Saul Enrique Benitez-Garcia Author-X-Name-First: Saul Enrique Author-X-Name-Last: Benitez-Garcia Title: Pareto optimal synthesis of eight-bar mechanism using meta-heuristic multi-objective search approaches: application to bipedal gait generation Abstract: The structural complexity of the bipedal locomotion may be reduced by using mechanisms with fewer actuators, which ideally do not degrade the performance and functionality of the robot. However, when the mechanism design considers conflicting design objectives, the search for design solutions with specific trade-offs becomes hard. This work studies different multi-objective search approaches the dominance-based, the decomposition-based and the metric-driven in the dimensional synthesis of the eight-bar mechanism for the bipedal locomotion application in the sagittal plane stated as a mixed discrete-continuous nonlinear multi-objective optimisation problem. This work also proposes a dominance-based multi-objective differential evolution algorithm called Multi-Objective Specialist Population-based Differential Evolution (MOSPDE), which endows specialised subpopulations to exploit different regions of the Pareto front to favour the search for design trade-offs with a suitable generation of the gait and force transmission during the stance phase. The comparative study includes algorithms reported in the specialised literature based on dominance (MOPSO, MODE variants and NSGA-II), decomposition (MOEA/D-DE) and metric-driven (SMS-EMOA). The statistical analysis reveals that using the Pareto dominance search approach based on differential evolution and the inclusion of exhaustive exploitation can promote the reconfigurability of the bipedal locomotion mechanism with better trade-offs that satisfy the conflicting design objectives. Journal: International Journal of Systems Science Pages: 671-693 Issue: 4 Volume: 52 Year: 2021 Month: 03 X-DOI: 10.1080/00207721.2020.1837991 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1837991 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:4:p:671-693 Template-Type: ReDIF-Article 1.0 Author-Name: Pavel Špaček Author-X-Name-First: Pavel Author-X-Name-Last: Špaček Author-Name: Jan Komenda Author-X-Name-First: Jan Author-X-Name-Last: Komenda Author-Name: Sébastien Lahaye Author-X-Name-First: Sébastien Author-X-Name-Last: Lahaye Title: Analysis of P-time event graphs in (max,+) and (min,+) semirings Abstract: In this paper, we investigate the behaviour of P-time event graphs, a class of time Petri nets with non-deterministic timing of places. Our approach is based on combined linear descriptions in both (max,+) and (min,+) semirings, where lower bounds on the state vector are (max,+)-linear and upper bounds are (min,+)-linear. We present necessary and sufficient conditions for the existence of extremal (fastest and slowest) periodic trajectories that are derived from the new description. The results are illustrated by a realistic example of an electroplating process. Journal: International Journal of Systems Science Pages: 694-709 Issue: 4 Volume: 52 Year: 2021 Month: 03 X-DOI: 10.1080/00207721.2020.1837992 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1837992 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:4:p:694-709 Template-Type: ReDIF-Article 1.0 Author-Name: Biyao Hong Author-X-Name-First: Biyao Author-X-Name-Last: Hong Author-Name: Zhaoxu Yu Author-X-Name-First: Zhaoxu Author-X-Name-Last: Yu Author-Name: Shugang Li Author-X-Name-First: Shugang Author-X-Name-Last: Li Title: Observer-based adaptive neural control of nonlinear time-delay systems with unknown output function and unknown control directions Abstract: This paper is concerned with the problem of output feedback adaptive tracking control for a class of uncertain nonlinear time-delay systems (NTDS) with both uncertain output function and unknown control directions. By introducing a linear state transformation, the original system is transformed into a new system for which output feedback control design becomes feasible. Without the precise information on output function, an input-driven high-gain state observer is presented to estimate the unavailable states of the new system. Moreover, some radial basis function neural networks (RBFNNs) are employed to approximate the lumped unknown nonlinear functions during the procedure of control design. Then, by combining the Lyapunov–Krasovskii functional method, the Nussbaum gain function approach and the backstepping technique, a novel adaptive output feedback control scheme including only one parameter to be updated is developed for such systems. As a result, all signals in the closed-loop system are semi-globally uniformly ultimately bounded (SGUUB) while the tracking error can remain in a small neighbourhood of zero. Finally, two simulation examples are given to validate the effectiveness and applicability of the proposed design method. Journal: International Journal of Systems Science Pages: 710-726 Issue: 4 Volume: 52 Year: 2021 Month: 03 X-DOI: 10.1080/00207721.2020.1837993 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1837993 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:4:p:710-726 Template-Type: ReDIF-Article 1.0 Author-Name: Weidong Wang Author-X-Name-First: Weidong Author-X-Name-Last: Wang Author-Name: Qin Yu Author-X-Name-First: Qin Author-X-Name-Last: Yu Author-Name: Maria Fasli Author-X-Name-First: Maria Author-X-Name-Last: Fasli Title: Altering Gaussian process to Student-t process for maximum distribution construction Abstract: Gaussian process (GP) regression is widely used to find the extreme of a black-box function by iteratively approximating an objective function when new evaluation obtained. Such evaluation is usually made by optimising a given acquisition function. However, for non-parametric Bayesian optimisation, the extreme of the objective function is not a deterministic value, but a random variant with distribution. We call such distribution the maximum distribution which is generally non-analytical. To construct such maximum distribution, traditional GP regression method by optimising an acquisition function is computational cost as the GP model has a cubic computation of training data. Moreover, the introduction of acquisition function brings extra hyperparameters which made the optimisation more complicated. Recently, inspired by the idea of Sequential Monte Carlo method and its application in Bayesian optimisation, a Monte Carlo alike method is proposed to approximate the maximum distribution with weighted samples. Alternative to the method on GP model, we construct the maximum distribution within the framework of Student-t process (TP) which considers more uncertainties from the training data. Toy examples and real data experiment show the TP-based Monte Carlo maximum distribution has a competitive performance to the GP-based method. Journal: International Journal of Systems Science Pages: 727-755 Issue: 4 Volume: 52 Year: 2021 Month: 03 X-DOI: 10.1080/00207721.2020.1838663 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1838663 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:4:p:727-755 Template-Type: ReDIF-Article 1.0 Author-Name: Rui Wu Author-X-Name-First: Rui Author-X-Name-Last: Wu Author-Name: Jialu Du Author-X-Name-First: Jialu Author-X-Name-Last: Du Author-Name: Guixian Xu Author-X-Name-First: Guixian Author-X-Name-Last: Xu Author-Name: Donghai Li Author-X-Name-First: Donghai Author-X-Name-Last: Li Title: Active disturbance rejection control for ship course tracking with parameters tuning Abstract: A course tracking control law is designed based on the active disturbance rejection control (ADRC) technique for ships with unknown dynamic parameters and unknown time-varying disturbance under input saturation, which consists of feed-forward compensation and an error feedback proportional-derivative (PD) control law. The compound uncertainties, due to the unknown dynamic parameters, unknown time-varying disturbance, and input saturation, are viewed as a total disturbance, which is estimated through an extended state observer (ESO) and effectively compensated in the feed-forward path. Subsequently, an extremum seeking algorithm without steady-state oscillation (ESA-SSO) is introduced to tune the design parameters of the ADRC-based ship course tracking control law so as to obtain the better performance of ship course tracking control. The strict stability analysis shows that the resulting closed-loop course tracking control system of ships is uniformly stable. Finally, simulation results and comparisons on a frigate are presented to illuminate the effectiveness and the superiority of the designed control law. Journal: International Journal of Systems Science Pages: 756-769 Issue: 4 Volume: 52 Year: 2021 Month: 03 X-DOI: 10.1080/00207721.2020.1838664 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1838664 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:4:p:756-769 Template-Type: ReDIF-Article 1.0 Author-Name: Adolfo Perrusquía Author-X-Name-First: Adolfo Author-X-Name-Last: Perrusquía Author-Name: Wen Yu Author-X-Name-First: Wen Author-X-Name-Last: Yu Title: Continuous-time reinforcement learning for robust control under worst-case uncertainty Abstract: Reinforcement learning (RL) is an effective method to design a robust controller for unknown nonlinear systems. Uncertainty in the worst case requires a large state-action space. Hence, it is natural to use continuous-time RL methods rather than the discretisation of the spaces. In this paper, we propose a novel continuous-time RL using neural network approximation. Our method uses worst-case uncertainty to train the continuous-time RL algorithm. The backward Euler approximation is used to approximate the time derivative of the value function. Compared with the actor–critic (AC) algorithm, our method finds the robust control policy in the presence of worst-case uncertainty by taking into account the applied actions. It is shown that the AC algorithm finds the robust controller in less episodes, but its robustness is less than the results presented by our approach. The convergence of the proposed algorithm is analysed using the contraction property and differential equation techniques. The experiments show that our approach is more robust than the model-based LQR method and the well-known AC method. Journal: International Journal of Systems Science Pages: 770-784 Issue: 4 Volume: 52 Year: 2021 Month: 03 X-DOI: 10.1080/00207721.2020.1839142 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1839142 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:4:p:770-784 Template-Type: ReDIF-Article 1.0 Author-Name: Min Wang Author-X-Name-First: Min Author-X-Name-Last: Wang Author-Name: Lixue Wang Author-X-Name-First: Lixue Author-X-Name-Last: Wang Author-Name: Ruipeng Huang Author-X-Name-First: Ruipeng Author-X-Name-Last: Huang Author-Name: Chenguang Yang Author-X-Name-First: Chenguang Author-X-Name-Last: Yang Title: Event-based disturbance compensation control for discrete-time SPMSM with mismatched disturbances Abstract: This paper investigates the problem of event-based disturbance compensation control for discrete-time surface-mounted permanent magnet synchronous motor (SPMSM) subject to both mismatched external disturbances and the limited communication bandwidth. The mismatched external disturbances make it impossible to transform the original model into the multiple-step-ahead predictor model by using the existing predictor technology. To tackle such a challenge, a novel backstepping-based disturbance compensation control framework is firstly proposed for the discrete-time SPMSM with known system dynamics. In the proposed framework, the disturbance observer is designed to compensate for the external disturbances, and the novel variable substitution/decoupling technology is proposed to design the event-based controller for the original controlled system. The proposed controller is composed of the event-based feedback control signal and the feedforward disturbance compensation signal, thereby improving the system disturbance rejection ability and mitigating the communication resource. Subsequently, an event-based adaptive neural control scheme is proposed by combining a modified neural disturbance observer. The proposed scheme ensures that the tracking error converges to a small neighbourhood of the origin, all the signals in the closed-loop system are bounded and meanwhile the communication resources are greatly reduced. The effectiveness of the proposed controller is illustrated through the simulation results. Journal: International Journal of Systems Science Pages: 785-804 Issue: 4 Volume: 52 Year: 2021 Month: 03 X-DOI: 10.1080/00207721.2020.1840650 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1840650 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:4:p:785-804 Template-Type: ReDIF-Article 1.0 Author-Name: Yun Liu Author-X-Name-First: Yun Author-X-Name-Last: Liu Author-Name: Panshuo Li Author-X-Name-First: Panshuo Author-X-Name-Last: Li Author-Name: Bin Zhang Author-X-Name-First: Bin Author-X-Name-Last: Zhang Title: Non-fragile H∞ control of periodic piecewise time-varying systems based on matrix polynomial approach Abstract: This paper investigates the problem of non-fragile $ H_{\infty } $ H∞ control for periodic piecewise time-varying systems. Based on a Lyapunov function with continuous time-varying Lyapunov matrix polynomial, and combining with the positiveness and negativeness properties of matrix polynomials, the $ H_{\infty } $ H∞ performance analysis is first accomplished. Then consider two types of controller gain perturbations that are formulated by time-varying matrix parameters and norm-bounded uncertainties. The additive and multiplicative non-fragile controllers to guarantee the $ H_{\infty } $ H∞ performance of the system are formed, of which the controller gain could be solved with linear matrix inequalities directly. The designed non-fragile $ H_{\infty } $ H∞ controller is desirable in applications. Finally, numerical examples demonstrate the effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 805-820 Issue: 4 Volume: 52 Year: 2021 Month: 03 X-DOI: 10.1080/00207721.2020.1841846 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1841846 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:4:p:805-820 Template-Type: ReDIF-Article 1.0 Author-Name: Yuanqing Qin Author-X-Name-First: Yuanqing Author-X-Name-Last: Qin Author-Name: Yue Zhao Author-X-Name-First: Yue Author-X-Name-Last: Zhao Author-Name: Kaixing Huang Author-X-Name-First: Kaixing Author-X-Name-Last: Huang Author-Name: Yu-Chu Tian Author-X-Name-First: Yu-Chu Author-X-Name-Last: Tian Author-Name: Chunjie Zhou Author-X-Name-First: Chunjie Author-X-Name-Last: Zhou Title: Dynamic model predictive control for constrained cyber-physical systems subject to actuator attacks Abstract: Modern networked control systems are cyber-physical systems (CPSs), in which the cyber space is tightly integrated with the physical world and human intervention. Forming the basis of future smart services, CPSs are expected to significantly promote our life. However, CPSs also suffer from cyber-attacks due to their increasing connections to the Internet. This paper investigates secure model predictive control (MPC) for constrained CPSs subject to actuator attacks, which intentionally manipulate control commands from a controller to actuators. In our study, the theory of invariant set is used to construct a Luenberger observer for error-bounded state estimation in the presence of actuator attacks. Then, a robust output feedback MPC controller is designed for constrained and attacked systems based on a set-membership state estimator. After that, stability conditions are theoretically established for the proposed MPC controller. A numerical example is also given to demonstrate the effectiveness of the proposed secure MPC approach. Journal: International Journal of Systems Science Pages: 821-831 Issue: 4 Volume: 52 Year: 2021 Month: 03 X-DOI: 10.1080/00207721.2020.1841847 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1841847 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:4:p:821-831 Template-Type: ReDIF-Article 1.0 Author-Name: Chaofang Hu Author-X-Name-First: Chaofang Author-X-Name-Last: Hu Author-Name: Ge Qu Author-X-Name-First: Ge Author-X-Name-Last: Qu Author-Name: Hyo-Sang Shin Author-X-Name-First: Hyo-Sang Author-X-Name-Last: Shin Author-Name: Antonios Tsourdos Author-X-Name-First: Antonios Author-X-Name-Last: Tsourdos Title: Distributed synchronous cooperative tracking algorithm for ground moving target in urban by UAVs Abstract: In this paper, a cooperative path planning method is proposed to track the unknown ground moving target by multiple unmanned aerial vehicles (UAVs). The kinematic UAV model with dual-input including commanded speed and heading rate is adopted, and the unknown target state is forecasted by the Extended Kalman Filter (EKF) with probability estimate. The cooperative path planning with multiple objectives and priorities is designed, where the infrastructure occlusion to line of detection sight and energy consumption are considered. Three optimisation objectives are fuzzified, and the priority is modelled by the relaxed order of satisfactory degrees. With the synchronous communication, the collision avoidance constraints and compatibility constraints under communication delay are designed. Moreover, the obstacle avoidance constraints with high buildings are addressed. Based on the distributed receding horizon control (RHC), the fuzzy multi-objective synchronous cooperative tracking model is built, and the optimal path of UAVs can be obtained by regulating the parameter. The algorithm to find the bound of regulation parameter is developed based on Karush–Kuhn–Tucker (KKT) condition. Finally, simulation results verify that the proposed method is effective and reliable. Journal: International Journal of Systems Science Pages: 832-847 Issue: 4 Volume: 52 Year: 2021 Month: 03 X-DOI: 10.1080/00207721.2020.1844340 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1844340 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:4:p:832-847 Template-Type: ReDIF-Article 1.0 Author-Name: Zhihao Zhang Author-X-Name-First: Zhihao Author-X-Name-Last: Zhang Author-Name: Zhenhua Wang Author-X-Name-First: Zhenhua Author-X-Name-Last: Wang Author-Name: Ye Wang Author-X-Name-First: Ye Author-X-Name-Last: Wang Author-Name: Yi Shen Author-X-Name-First: Yi Author-X-Name-Last: Shen Author-Name: Yipeng Liu Author-X-Name-First: Yipeng Author-X-Name-Last: Liu Title: Zonotopic reachable set estimation for bilinear systems with time-varying delays Abstract: This paper studies reachable set estimation for bilinear discrete-time systems with time-varying delays considering state feedback and unknown-but-bounded disturbance. A novel reachable set estimation method based on the zonotopic technique is proposed for the considered systems under non-zero initial conditions. A series of zonotopes can be obtained in the derived theorem for bounding real-time states of the considered systems. The effectiveness of the proposed method is illustrated by a numerical example. Journal: International Journal of Systems Science Pages: 848-856 Issue: 4 Volume: 52 Year: 2021 Month: 03 X-DOI: 10.1080/00207721.2020.1849857 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1849857 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:4:p:848-856 Template-Type: ReDIF-Article 1.0 Author-Name: Shipei Huang Author-X-Name-First: Shipei Author-X-Name-Last: Huang Author-Name: Zhengbing Yan Author-X-Name-First: Zhengbing Author-X-Name-Last: Yan Author-Name: Guoqiang Zeng Author-X-Name-First: Guoqiang Author-X-Name-Last: Zeng Author-Name: Zhengjiang Zhang Author-X-Name-First: Zhengjiang Author-X-Name-Last: Zhang Author-Name: Zhiliang Zhu Author-X-Name-First: Zhiliang Author-X-Name-Last: Zhu Title: Finite-time prescribed performance control of switched nonlinear systems with input quantisation Abstract: This paper investigates the finite-time performance control of a class of switched nonlinear systems with input quantisation, where the control input is quantised by a class of sector-bounded quantizers. By introducing a barrier Lyapunov function and a hyperbolic tangent function, a control scheme is proposed to achieve the practical finite-time stability with prescribed performance, and a new compensation is constructed for the effects of quantisation error. Furthermore, the proposed result is extended to the case that the quantisation parameters are unknown, and adaptive laws are proposed which do not require the knowledge on the bounds of these unknown parameters. A simulation example is provided to show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 857-873 Issue: 4 Volume: 52 Year: 2021 Month: 03 X-DOI: 10.1080/00207721.2020.1849858 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1849858 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:4:p:857-873 Template-Type: ReDIF-Article 1.0 Author-Name: Qi Chang Author-X-Name-First: Qi Author-X-Name-Last: Chang Author-Name: Aihua Hu Author-X-Name-First: Aihua Author-X-Name-Last: Hu Author-Name: Yongqing Yang Author-X-Name-First: Yongqing Author-X-Name-Last: Yang Author-Name: Li Li Author-X-Name-First: Li Author-X-Name-Last: Li Title: Pinning exponential boundedness of fractional-order multi-agent systems with intermittent combination event-triggered protocol Abstract: This paper mainly deals with the exponential boundedness of fractional-order multi-agent systems (FOMSs). A novel controller, intermittent combination event-triggered strategy, is proposed to save more control resources. Unlike the traditional event-triggered mechanism, the combined event-triggered strategy includes the item of the error function and exponential function. The communication between agents is intermittent. Under the pinning control, only a few agents can receive information from the virtual leader. By utilising the designed controller, sufficient conditions for exponential boundedness of FOMSs are gained along with fractional-order Lyapunov methods, the monotonicity of the Mittag-Leffler function and matrix analysis. The article also investigates the consensus of FOMSs via pinning combination event-triggered control without the intermittent mechanism through the same analytical approach. The Zeno behaviour is also excluded. Simulations are given to verify the availability and applicability of the designed protocol. Experiments demonstrate that the combined event-triggered mechanism can reduce the number of event triggers. Journal: International Journal of Systems Science Pages: 874-888 Issue: 4 Volume: 52 Year: 2021 Month: 03 X-DOI: 10.1080/00207721.2020.1849859 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1849859 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:4:p:874-888 Template-Type: ReDIF-Article 1.0 Author-Name: Tuo Zhou Author-X-Name-First: Tuo Author-X-Name-Last: Zhou Author-Name: Quanli Liu Author-X-Name-First: Quanli Author-X-Name-Last: Liu Author-Name: Dong Wang Author-X-Name-First: Dong Author-X-Name-Last: Wang Author-Name: Wei Wang Author-X-Name-First: Wei Author-X-Name-Last: Wang Title: Distributed non-fragile containment control of nonlinear multi-agent systems with time-varying delays Abstract: Distributed containment control for multi-agent systems with time delay is investigated, where the communication topology is directed. Different from the existing literature which mainly focuses on general linear dynamics with time delay, containment control of nonlinear dynamics is discussed with the help of a new follower-based time-varying delays control protocol. Furthermore, there always exist uncertainties in the controller and observer gain matrices, a novel class of non-fragile containment control with time delay is addressed for the first time, which can be more applicable and more significant to real physical systems. By making use of the convex analysis, algebraic graph theory, matrix transformation and Lyapunov theory, it is derived that the obtained results are cast as feasible linear matrix inequalities and the states of the followers finally converge to the convex hull formed by the leaders. Finally, two simulation examples of nine-agents topology are presented to verify the validity of obtained theoretical analysis. Journal: International Journal of Systems Science Pages: 889-904 Issue: 5 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2020.1849860 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1849860 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:5:p:889-904 Template-Type: ReDIF-Article 1.0 Author-Name: Chaouki Aouiti Author-X-Name-First: Chaouki Author-X-Name-Last: Aouiti Author-Name: Hediene Jallouli Author-X-Name-First: Hediene Author-X-Name-Last: Jallouli Title: State feedback controllers based finite-time and fixed-time stabilisation of high order BAM with reaction–diffusion term Abstract: In this paper, we are interested in the finite time and fixed-time stabilisation of high order bidirectional associative memory neural networks (HOBAMNNs) with time delays and reaction–diffusion terms. Via the theory of topological degree, a set of sufficient conditions are obtained to guarantee the existence of the equilibrium point of HOBAMNNs. The finite time and fixed time stabilisation are introduced based on Lyapunov functional, new designing state feedback controllers and inequality techniques. At the end, some numerical simulations are carried out to support the theoretical results. Journal: International Journal of Systems Science Pages: 905-927 Issue: 5 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2020.1849861 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1849861 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:5:p:905-927 Template-Type: ReDIF-Article 1.0 Author-Name: Zhe Liu Author-X-Name-First: Zhe Author-X-Name-Last: Liu Author-Name: Shurong Li Author-X-Name-First: Shurong Author-X-Name-Last: Li Author-Name: Kai Zhao Author-X-Name-First: Kai Author-X-Name-Last: Zhao Title: Extended multi-interval Legendre-Gauss-Radau pseudospectral method for mixed-integer optimal control problem in engineering Abstract: Many engineering optimisation problems can be summarised as mixed-integer optimal control problems (MIOCPs) owing to the needs for mixed-integer dynamic control decisions. However, the convergence theory of Legendre-Gauss-Radau (LGR) approximation fails to apply to such non-smooth and discontinuous optimal control problems. Therefore, this paper develops an extended multi-interval LGR pseudospectral method (EMLGR), which has the following features: (i) the mixed-integer controls at the end of each interval and the interval intersections are added as two new controls to avoid the unrestrained control and shorten the switching time of integer control, and (ii) a smart adaptive collocation monitor (SACM) is provided to optimise the polynomial order and interval structure for further reducing computational complexity and improving approximation precision. The detailed solution procedure of EMLGR is given in this study, and experimental studies including five challenging practical engineering MIOCPs are taken to verify the superiorities of the proposed EMLGR in efficiency, accuracy and stability. Journal: International Journal of Systems Science Pages: 928-951 Issue: 5 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2020.1849862 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1849862 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:5:p:928-951 Template-Type: ReDIF-Article 1.0 Author-Name: Guangren Duan Author-X-Name-First: Guangren Author-X-Name-Last: Duan Title: High-order fully actuated system approaches: Part III. Robust control and high-order backstepping Abstract: In this paper, three types of uncertain high-order nonlinear models are firstly proposed, namely, a single high-order fully actuated (HOFA) model with nonlinear uncertainties, an uncertain second-order strict-feedback system (SFS) and an uncertain high-order SFS, and the relations among these types of models are also discussed. Secondly, a direct approach for the design of robust stabilising controllers and robust tracking controllers for an uncertain single HOFA model are proposed based on the Lyapunov stability theory. Using the obtained robust control design result, the second- and high-order backstepping methods for the designs of robust stabilising controllers of the introduced second- and high-order SFSs are also proposed. The proposed approaches do not need to convert the high-order systems into first-order ones, and for a specific system design, the proposed high-order backstepping methods need fewer steps than the usual first-order backstepping method, hence are generally more direct and simpler. An illustrative example demonstrates both the effect and the application procedure of the proposed HOFA robust control approaches. Journal: International Journal of Systems Science Pages: 952-971 Issue: 5 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2020.1849863 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1849863 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:5:p:952-971 Template-Type: ReDIF-Article 1.0 Author-Name: Guangren Duan Author-X-Name-First: Guangren Author-X-Name-Last: Duan Title: High-order fully actuated system approaches: Part IV. Adaptive control and high-order backstepping Abstract: Three types of high-order system models with parametric uncertainties are introduced, namely, the high-order fully actuated (HOFA) models, and the second- and high-order strict-feedback system (SFS) models, which possess a common full-actuation structure. Direct design approaches of adaptive stabilising controllers and adaptive tracking controllers of the HOFA models are firstly proposed based on the Lyapunov stability theory. Using the obtained result, direct second- and high-order backstepping methods for the designs of adaptive stabilising controllers of the second- and high-order SFSs with parametric uncertainties are also proposed. These approaches do not need to convert the high-order systems into first-order ones, and are thus more direct and effective. Furthermore, for a specific second- or higher-order SFS, applications of the proposed high-order backstepping methods need fewer steps than the usual first-order backstepping method, hence save much design and computation complexity. Journal: International Journal of Systems Science Pages: 972-989 Issue: 5 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2020.1849864 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1849864 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:5:p:972-989 Template-Type: ReDIF-Article 1.0 Author-Name: Zhibao Song Author-X-Name-First: Zhibao Author-X-Name-Last: Song Author-Name: Ping Li Author-X-Name-First: Ping Author-X-Name-Last: Li Title: Fixed-time stabilisation for switched stochastic nonlinear systems with asymmetric output constraints Abstract: In this paper, the fixed-time stabilisation problem is investigated for switched stochastic nonlinear systems with asymmetric output constraints. A novel universal barrier Lyapunov function is proposed to not only handle systems with asymmetric output constraints but also work for systems with symmetric constraints or without constraints, without reshaping the controller framework. On the basis of the stochastic fixed-time stability theorem and adding a power integrator strategy, an elaborate control method is established to ensure that the system state fixed-time converges to zero almost surely without the knowledge of initial conditions. Meanwhile, the system output is always retained in the preset asymmetric region in probability. A practical example is utilised to verify the validity of the proposed theory. Journal: International Journal of Systems Science Pages: 990-1002 Issue: 5 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2020.1852625 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1852625 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:5:p:990-1002 Template-Type: ReDIF-Article 1.0 Author-Name: Zhenhua Wang Author-X-Name-First: Zhenhua Author-X-Name-Last: Wang Title: Consensus analysis for high-order discrete-time agents with time-varying delay Abstract: In this paper, distributed consensus for a group of high-order discrete multi-agent systems with time-varying delay in the transmission channel is analysed. Suppose that the system is critically unstable and the delay retards the neighbours' state information, some sufficient conditions are built by designing protocol without the delay information in the control gains. Particularly, it is revealed that the constraint of delay on consensus is relaxed thoroughly if the dimension of the system and the parameters of the undirected topology satisfy the developed conditions. Finally, the proposed approaches are supported through two numerical examples. Journal: International Journal of Systems Science Pages: 1003-1013 Issue: 5 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2020.1852626 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1852626 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:5:p:1003-1013 Template-Type: ReDIF-Article 1.0 Author-Name: Ming Wei Author-X-Name-First: Ming Author-X-Name-Last: Wei Author-Name: Yuan-Xin Li Author-X-Name-First: Yuan-Xin Author-X-Name-Last: Li Author-Name: Shaocheng Tong Author-X-Name-First: Shaocheng Author-X-Name-Last: Tong Title: Adaptive fault-tolerant control for a class of fractional order non-strict feedback nonlinear systems Abstract: In this article, an adaptive fuzzy fault-tolerant control problem is investigated for a class of fractional order non-strict feedback nonlinear systems with actuator faults, where the unknown nonlinear functions are approximated by fuzzy logic systems. Within the framework of the backstepping technique we proposed a novel backstepping controller to avoid the algebraic loop problem via the property of fuzzy basis functions. Meanwhile, a compensation term in the form of smoothing functions of conventional control law is utilised to compensate for the effects caused by actuator faults where the number of them is allowed to be infinite. Finally, the fractional Lyapunov stability theory demonstrates that the tracking performance and boundedness of the close-loop systems are achieved in finite time. The simulation results are carried out to validate the effectiveness of the design scheme. Journal: International Journal of Systems Science Pages: 1014-1025 Issue: 5 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2020.1852627 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1852627 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:5:p:1014-1025 Template-Type: ReDIF-Article 1.0 Author-Name: Liyun Zhao Author-X-Name-First: Liyun Author-X-Name-Last: Zhao Author-Name: Jinchen Ji Author-X-Name-First: Jinchen Author-X-Name-Last: Ji Author-Name: Hongbo Bo Author-X-Name-First: Hongbo Author-X-Name-Last: Bo Author-Name: Jianfeng Lv Author-X-Name-First: Jianfeng Author-X-Name-Last: Lv Title: Weighted coordinated motion for coupled harmonic oscillators with heterogeneous interactions of cooperation and competition Abstract: This paper investigates the weighted coordinated motion of coupled harmonic oscillators over weighted cooperative–competitive interactions. First, the traditional synchronisation and containment control concepts are extended to the weighted synchronisation and weighted containment control for the new cooperative–competitive networks. Then, weighted synchronisation problem and weighted containment tracking motion are respectively solved for the coupled harmonic oscillators. Compared with some existing results, the frequency parameters of coupled harmonic oscillators are unknown in this paper and some novel networked structures are introduced in order to make the harmonic oscillator followers converge to the convex hull spanned by leaders' weighted states. Particularly, if the topologies formed by every leader group and follower group are interactively balanced and every follower is weight-product balanced, or if some leader groups are not interactively balanced but satisfy some conditions, the coupled harmonic oscillators can all realise the weighted containment tracking motion. Simulation results are given to demonstrate the effectiveness of the proposed control schemes. Journal: International Journal of Systems Science Pages: 1026-1041 Issue: 5 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2020.1853272 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1853272 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:5:p:1026-1041 Template-Type: ReDIF-Article 1.0 Author-Name: Vimala Kumari Jonnalagadda Author-X-Name-First: Vimala Kumari Author-X-Name-Last: Jonnalagadda Author-Name: Vinodh Kumar Elumalai Author-X-Name-First: Vinodh Kumar Author-X-Name-Last: Elumalai Title: Hardware-in-the-loop testing of current cycle feedback ILC for stabilisation and tracking control of under-actuated visual servo system Abstract: This paper presents an iterative learning control (ILC) scheme augmented with the feedback control for solving the nonlinear stabilisation and tracking control problem of ball on plate system, which is a class of under-actuated visual servo system. To enhance the trajectory tracking performance and deal with the real-time challenges of ball on plate system including the nonlinearity, inter-axis coupling and uncertain dynamics, we present a feed-forward learning control scheme, which iteratively updates the control input from one trial to the next, integrated with the cascade control. The ILC update law is synthesised based on the current iteration tracking error (CITE), and the uniform convergence of the input control sequence is presented using the contraction mapping technique. From image processing standpoint, for detecting the foreground objects from a video stream, a background subtraction algorithm using frame difference technique is employed. The efficacy of the proposed scheme is tested on a laboratory scale ball on plate system using hardware-in-the-loop (HIL) testing. Experimental results substantiate that augmenting the learning control with the feedback control not only reduces the tracking error significantly but also enhances the robustness of the closed loop system against the poor lighting conditions. Journal: International Journal of Systems Science Pages: 1042-1060 Issue: 5 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2020.1853273 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1853273 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:5:p:1042-1060 Template-Type: ReDIF-Article 1.0 Author-Name: Nahid Ebrahimi Author-X-Name-First: Nahid Author-X-Name-Last: Ebrahimi Author-Name: Sadjaad Ozgoli Author-X-Name-First: Sadjaad Author-X-Name-Last: Ozgoli Author-Name: Amin Ramezani Author-X-Name-First: Amin Author-X-Name-Last: Ramezani Title: Model-free high-order terminal sliding mode controller for Lipschitz nonlinear systems. Implemented on Exoped® exoskeleton robot Abstract: In this paper, a model-free high-order terminal sliding mode controller (TSMC) is developed for single input–single output Lipschitz nonlinear systems in presence of external disturbances. The proposed method is data-driven, i.e. it is based on online input and output information. In another word, the method is not model-based and can be applied to systems with unknown dynamics. The proposed method employs a high-order switching surface to mitigate the chattering problem. The disturbance estimation technique is also applied to overcome external disturbances. Rigorous theoretical analysis is carried out to verify convergence of states to the switching surface. To demonstrate the effectiveness and applicability of the proposed approach in different situations, several simulations are provided in addition to experimental studies. Experimental tests are implemented on an exoskeleton robot which follows the human gait trajectory in normal and uncertain conditions. In all studies, the results of the proposed method are compared with model free Linear Sliding Mode Control. It is shown that the proposed method has a better performance. Journal: International Journal of Systems Science Pages: 1061-1073 Issue: 5 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2020.1853848 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1853848 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:5:p:1061-1073 Template-Type: ReDIF-Article 1.0 Author-Name: Ketian Gao Author-X-Name-First: Ketian Author-X-Name-Last: Gao Author-Name: Jun Zhou Author-X-Name-First: Jun Author-X-Name-Last: Zhou Title: Stabilisation of multiply-time-delayed sampled-data systems via quasi ℋ∞ control designed with DLMI Abstract: This paper considers stabilisation of a class of multiply-time-delayed (MTD) sampled-data systems via variation-of-constant discretisation (VOCD) re-modelling and discrete-time $ \mathcal {H}_\infty $ H∞ performance control optimisation. More precisely, by utilising the variation-of-constants formula for solutions to functional differential equations, discrete-time re-modelling of sampled-data systems with MTD plants is derived, which yields finite-dimensional linear time-invariant discrete models with augmented states. Based on the VOCD re-modelling, structural features and dynamics of the MTD sampled-data systems are examined in the discrete-time approximation sense, and then stabilisation is achieved by means of the $ H_\infty $ H∞ performance controller design with the discrete linear matrix inequalities (DLMI). This provides us with necessary and sufficient conditions in stabilisation and the controller parametrisation is numerically tractable in the DLMI sense. Numerical examples are included to illustrate effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1074-1096 Issue: 5 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2020.1854364 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1854364 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:5:p:1074-1096 Template-Type: ReDIF-Article 1.0 Author-Name: Yujie Zhao Author-X-Name-First: Yujie Author-X-Name-Last: Zhao Author-Name: Xiushan Cai Author-X-Name-First: Xiushan Author-X-Name-Last: Cai Author-Name: Cong Lin Author-X-Name-First: Cong Author-X-Name-Last: Lin Author-Name: Junfeng Zhang Author-X-Name-First: Junfeng Author-X-Name-Last: Zhang Author-Name: Leipo Liu Author-X-Name-First: Leipo Author-X-Name-Last: Liu Title: Functional observer design for nonlinear systems with incremental quadratic constraints Abstract: We present a functional observer design method for a class of nonlinear systems with output nonlinearities and incremental quadratic constraints. The system under consideration includes a wider class of nonlinear systems, such as, Lipschitz, one-sided Lipschitz, nondecreasing nonlinearity system as special cases. Based on Moore–Penrose pseudo-inverse and linear matrix inequality theory, the existence conditions of gain matrices of a functional observer are obtained. Moreover, exponential convergence of the estimate errors is achieved. Through the Lorenz system, it is shown that the proposed approach provides a smaller order of observer than that of the conventional approaches, while maintaining satisfactory performances. Journal: International Journal of Systems Science Pages: 1097-1105 Issue: 5 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2020.1854895 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1854895 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:5:p:1097-1105 Template-Type: ReDIF-Article 1.0 Author-Name: Jinnan Zhang Author-X-Name-First: Jinnan Author-X-Name-Last: Zhang Author-Name: Jinbo Song Author-X-Name-First: Jinbo Author-X-Name-Last: Song Author-Name: Jiahui Li Author-X-Name-First: Jiahui Author-X-Name-Last: Li Author-Name: Fei Han Author-X-Name-First: Fei Author-X-Name-Last: Han Author-Name: Hongbin Zhang Author-X-Name-First: Hongbin Author-X-Name-Last: Zhang Title: Observer-based non-fragile H∞-consensus control for multi-agent systems under deception attacks Abstract: This paper addresses the non-fragile $ H_{\infty } $ H∞-consensus control problem for multi-agent systems subject to deception attacks and missing measurements based on the designed observers. First of all, a sequence of Bernoulli distributed stochastic variables is applied to characterise the random nature of the missing measurements, where the changeable missing probability is constrained by a norm-bounded condition to reflect the reality more closely. Next, constraint conditions are given for the malicious signal considered in deception attacks with the purpose of limiting the difference between the attack signal and the true signal. The aim of this research is to design an observer-based non-fragile $ H_{\infty } $ H∞-consensus controller for each agent such that the multi-agent closed-loop system can achieve the stochastic stability and meet the prescribed disturbance attenuation level when encountering the deception attacks and missing measurements. Then, based on Lyapunov stability theory, the sufficient condition is established to ensure the existence of the desired observer and controller. Moreover, the gain parameters are calculated by solving linear matrix inequalities. Finally, an explanative example is employed to demonstrate the effectiveness of the proposed distributed control algorithm. Journal: International Journal of Systems Science Pages: 1223-1236 Issue: 6 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2021.1884917 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1884917 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:6:p:1223-1236 Template-Type: ReDIF-Article 1.0 Author-Name: Derui Ding Author-X-Name-First: Derui Author-X-Name-Last: Ding Author-Name: Xiaohua Ge Author-X-Name-First: Xiaohua Author-X-Name-Last: Ge Author-Name: Qing-Long Han Author-X-Name-First: Qing-Long Author-X-Name-Last: Han Title: Performance analysis and synthesis of industrial cyber-physical systems Journal: International Journal of Systems Science Pages: 1107-1109 Issue: 6 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2021.1905955 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1905955 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:6:p:1107-1109 Template-Type: ReDIF-Article 1.0 Author-Name: Jingyang Mao Author-X-Name-First: Jingyang Author-X-Name-Last: Mao Author-Name: Ying Sun Author-X-Name-First: Ying Author-X-Name-Last: Sun Author-Name: Xiaojian Yi Author-X-Name-First: Xiaojian Author-X-Name-Last: Yi Author-Name: Hongjian Liu Author-X-Name-First: Hongjian Author-X-Name-Last: Liu Author-Name: Derui Ding Author-X-Name-First: Derui Author-X-Name-Last: Ding Title: Recursive filtering of networked nonlinear systems: a survey Abstract: Recursive filtering for nonlinear systems, one of the core technologies of modern industrial systems, is an ever-increasing research topic from the control and computer communities. Some challenges from communication scheduling, limited bandwidth as well as security vulnerability have to be seriously handled though the applications of communication technologies bring into some conveniences. As such, it is of utmost significance in theory and great importance in applications to establish engineering-feasible recursive filtering algorithms for networked nonlinear systems. This paper focuses on the development of this topic and provides an up-to-date survey of the existing nonlinear filtering techniques. The introduction of three classes of communication protocols is first presented in great detail, and then comprehensive reviews and summaries of the nonlinear recursive filtering problems with Gaussian/non-Gaussian noises are elaborated according to different strategies responding to nonlinear functions or noises. Particularly, the reviews are layout from the extended Kalman filtering, the unscented/cubature Kalman filtering, the set-membership filtering as well as the $ H_\infty $ H∞ filtering. Furthermore, several challenging issues are raised to stimulate further related theoretical research and practical applications in this field. Journal: International Journal of Systems Science Pages: 1110-1128 Issue: 6 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2020.1868615 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1868615 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:6:p:1110-1128 Template-Type: ReDIF-Article 1.0 Author-Name: Quanwei Qiu Author-X-Name-First: Quanwei Author-X-Name-Last: Qiu Author-Name: Fuwen Yang Author-X-Name-First: Fuwen Author-X-Name-Last: Yang Author-Name: Yong Zhu Author-X-Name-First: Yong Author-X-Name-Last: Zhu Title: Cyber-attack localisation and tolerant control for microgrid energy management system based on set-membership estimation Abstract: This paper addresses the cyber-security issue of microgrid energy management system, where cyber-attacks, appearing in communication networks, corrupt the transmitted data and falsify the state estimates. This can potentially threaten the physical system and lead to severe physical consequences. Therefore, it is of great significance to detect, locate and tolerate cyber-attacks. To this end, set-membership estimation is employed to detect the occurrence and locate the position of DoS attacks. The model predictive control technique is utilised to schedule the energy management by using the forecasts of photovoltaic generation and load demand. It is shown that the cyber-attack localisation and the desired tolerant control performance against attacks can be both achieved. Simulation results are provided to demonstrate the effectiveness of the proposed strategy. Journal: International Journal of Systems Science Pages: 1206-1222 Issue: 6 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2021.1896051 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1896051 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:6:p:1206-1222 Template-Type: ReDIF-Article 1.0 Author-Name: Lei Liu Author-X-Name-First: Lei Author-X-Name-Last: Liu Author-Name: Lifeng Ma Author-X-Name-First: Lifeng Author-X-Name-Last: Ma Author-Name: Jie Zhang Author-X-Name-First: Jie Author-X-Name-Last: Zhang Author-Name: Yuming Bo Author-X-Name-First: Yuming Author-X-Name-Last: Bo Title: Distributed non-fragile set-membership filtering for nonlinear systems under fading channels and bias injection attacks Abstract: In this paper, the secure distributed set-membership filtering problem is investigated for general nonlinear system over wireless sensor networks. For the purpose of getting close to practical wireless sensor networks, both the bias injection attacks and the channel fading of wireless communication are taken into account in the procedure of filter design. By employing linear matrix inequality (LMI) technique and Taylor's expansion formula, the nonlinearity, the channel fading, the bias injection attacks and the non-fragile are handled simultaneously in the set-membership filtering framework and the filter design problem is addressed. For the pre-specified filtering performance, sufficient conditions are obtain to ensure the existence of desired filter, where the filter gains are acquired via solving certain recursive LMI. Furthermore, in order to look for the locally best performance, an optimal algorithm is proposed. Finally, a simulation example is given to demonstrate the effectiveness of our proposed secure filtering algorithm. Journal: International Journal of Systems Science Pages: 1192-1205 Issue: 6 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2021.1872118 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1872118 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:6:p:1192-1205 Template-Type: ReDIF-Article 1.0 Author-Name: En-Zhi Cao Author-X-Name-First: En-Zhi Author-X-Name-Last: Cao Author-Name: Bao-Lin Zhang Author-X-Name-First: Bao-Lin Author-X-Name-Last: Zhang Author-Name: Zhihui Cai Author-X-Name-First: Zhihui Author-X-Name-Last: Cai Author-Name: Binrui Wang Author-X-Name-First: Binrui Author-X-Name-Last: Wang Author-Name: Qing Li Author-X-Name-First: Qing Author-X-Name-Last: Li Title: Memory-event-triggering H∞ reliable control for networked jacket platforms against earthquakes and stochastic actuator faults Abstract: This paper deals with the problems of networked modelling and memory-event-triggering $ H_{\infty } $ H∞ reliable control for steel jacket-type platforms in network environments. First, a networked model of the jacket platform against earthquakes and probabilistic actuator faults is established. Based on this model, a memory-based event-triggering communication scheme is introduced to account for the constrained communication resources. A distinct feature of the proposed triggering scheme is that it has great potential to identify and trigger the significantly changed data than the existing ones without ‘memory’. Then, by formulating the network-based closed-loop platform system as a stochastic delay system, some sufficient conditions are derived for co-designing the desired controller and the triggering scheme. Finally, comparative simulation results are provided to demonstrate the effectiveness and merits of the proposed triggering and control co-design method. It is shown that compared with some existing event-triggering control methods, the proposed memory-event-triggering $ H_{\infty } $ H∞ reliable controller is effective to mitigate vibrations of the jacket platform and is potentially advantageous to save more network bandwidth and control cost. Journal: International Journal of Systems Science Pages: 1171-1191 Issue: 6 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2021.1883765 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1883765 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:6:p:1171-1191 Template-Type: ReDIF-Article 1.0 Author-Name: Maiying Zhong Author-X-Name-First: Maiying Author-X-Name-Last: Zhong Author-Name: Ting Xue Author-X-Name-First: Ting Author-X-Name-Last: Xue Author-Name: Xiaoqiang Zhu Author-X-Name-First: Xiaoqiang Author-X-Name-Last: Zhu Author-Name: Lu Zhang Author-X-Name-First: Lu Author-X-Name-Last: Zhang Title: An Hi/H∞ optimisation approach to distributed event-triggered fault detection over wireless sensor networks Abstract: This paper is concerned with the problem of distributed event-triggered fault detection (FD) for linear discrete time-varying systems over resource-constrained wireless sensor networks. To reduce unnecessary communication frequency of sensor measurements and thus communication resource expenditure, an event-triggered communication mechanism is employed to determine whether or not each sensor's measurement should be broadcast to the distributed fault detection filter (FDF) over the wireless network at each time step. Then, an $ H_{i}/H_{\infty } $ Hi/H∞ optimisation approach is proposed to achieve distributed event-triggered fault detection for the concerned system. Specifically, a set of distributed event-triggered FDFs is constructed based on the event-triggered measurement information from each sensor node and its adjacent nodes. Different from the existing distributed event-triggered FD schemes, the major contributions of this paper are twofold. First, the proposed FDF for each sensor node can be designed individually and the residual signal on each node is completely decoupled from the event-triggered transmission error. Second, the design of distributed event-triggered FDFs is formulated as an $ H_{i}/H_{\infty } $ Hi/H∞ optimisation problem and an optimal solution can be obtained by recursively computing some Riccati recursions. Finally, a numerical example is given to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1160-1170 Issue: 6 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2021.1897707 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1897707 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:6:p:1160-1170 Template-Type: ReDIF-Article 1.0 Author-Name: Sijing Zhang Author-X-Name-First: Sijing Author-X-Name-Last: Zhang Author-Name: Hailong Tan Author-X-Name-First: Hailong Author-X-Name-Last: Tan Author-Name: Huisheng Shu Author-X-Name-First: Huisheng Author-X-Name-Last: Shu Author-Name: Nan Li Author-X-Name-First: Nan Author-X-Name-Last: Li Title: Event-based state and unknown input estimation for uncertain systems with stochastic nonlinearities Abstract: In this paper, the event-based state and unknown input estimation (SUIE) problem is investigated for a class of stochastic systems subject to parameter uncertainties and stochastic nonlinearities. For the purpose of reducing the energy consumption in data transmission, an event-triggering protocol is employed to regulate whether the current measurement is transmitted by the sensor. Utilising the event-triggered measurement, a recursive estimator is constructed to concurrently estimate the state and the unknown input. The upper bounds of estimation error covariances are given explicitly for both the state and the unknown input estimates. By means of the completing-the-square technique and Lagrange multiplier method, the estimator gain matrices are designed which minimise the obtained upper bounds. Finally, a numerical example is given to show the effectiveness of the proposed SUIE method. Journal: International Journal of Systems Science Pages: 1148-1159 Issue: 6 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2020.1862354 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1862354 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:6:p:1148-1159 Template-Type: ReDIF-Article 1.0 Author-Name: Zhijie Lian Author-X-Name-First: Zhijie Author-X-Name-Last: Lian Author-Name: Chao Deng Author-X-Name-First: Chao Author-X-Name-Last: Deng Title: Distributed security secondary control for cyber-physical microgrids systems under network DoS attacks Abstract: This paper considers the frequency regulation and power-sharing problems for cyber-physical microgrids (MGs) under network denial-of-service (DoS) attacks and time-varying communication delays. Compared to conventional distributed controllers based on a system model with ideal communication, a distributed security control protocol is designed. Benefiting from the developed security control method, the adverse effects of network DoS attacks and communication delays can be resisted. Then, a sufficient condition, which is used to achieve the achieve frequency restoration and power-sharing, is established according to the frequency and duration of DoS attacks. By using the average dwell time method and the Lyapunov stability theory, it is theoretically proved that the proposed control scheme can guarantee the stability of the overall AC microgrid system. In order to illustrate the proposed scheme, simulation studies are carried out based on an islanded AC microgrid system with four distributed generators (DGs) built in the simulation. The results do show its effectiveness and also verify the established theoretical results. Journal: International Journal of Systems Science Pages: 1237-1250 Issue: 6 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2021.1900449 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1900449 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:6:p:1237-1250 Template-Type: ReDIF-Article 1.0 Author-Name: Jun Hu Author-X-Name-First: Jun Author-X-Name-Last: Hu Author-Name: Hongxu Zhang Author-X-Name-First: Hongxu Author-X-Name-Last: Zhang Author-Name: Hongjian Liu Author-X-Name-First: Hongjian Author-X-Name-Last: Liu Author-Name: Xiaoyang Yu Author-X-Name-First: Xiaoyang Author-X-Name-Last: Yu Title: A survey on sliding mode control for networked control systems Abstract: In the framework of the networked control systems (NCSs), the components are connected with each other over a shared band-limited network. The merits of NCSs include easy extensibility, resource sharing, high reliability and so forth. However, the insertion of the communication network brings many challenges, such as network-induced phenomena and cyber-security, which should be handled properly. On the other hand, the sliding mode control (SMC) has become an effective scheme for the synthesis of NCSs due to its strong robustness and SMC has wide applications in NCSs. In this paper, some recent advances on SMC for NCSs are reviewed. In particular, some new SMC schemes for NCSs subject to time-delay, packet losses, quantisation and uncertainty/disturbance are summarised firstly. Subsequently, the problem of SMC for NCSs under scheduling protocols is discussed, where different communication protocols are introduced for the energy saving purpose during the synthesis of NCSs. Next, some recent results on SMC for NCSs with actuator/sensor fault and cyber-attack are recalled. Finally, the conclusion is provided and the potential research challenges on SMC for NCSs are pointed out. Journal: International Journal of Systems Science Pages: 1129-1147 Issue: 6 Volume: 52 Year: 2021 Month: 04 X-DOI: 10.1080/00207721.2021.1885082 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1885082 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:6:p:1129-1147 Template-Type: ReDIF-Article 1.0 Author-Name: Xiasheng Shi Author-X-Name-First: Xiasheng Author-X-Name-Last: Shi Author-Name: Zhiyun Lin Author-X-Name-First: Zhiyun Author-X-Name-Last: Lin Author-Name: Tao Yang Author-X-Name-First: Tao Author-X-Name-Last: Yang Author-Name: Xuesong Wang Author-X-Name-First: Xuesong Author-X-Name-Last: Wang Title: Distributed dynamic event-triggered algorithm with minimum inter-event time for multi-agent convex optimisation Abstract: In this paper, the distributed convex optimisation problem of the multi-agent system over an undirected network is investigated, in which the local objective function of each agent is only known by itself. To reduce the communication consumption between agents, a state-based dynamic event-triggered algorithm with positive minimum inter-event time (MIET) is provided, where the aperiodic information communication only occurs at some discrete triggering time instants. Moreover, the sampling control technology is combined into the previous event-triggered algorithm for verifying the event-triggered condition at every sampling time, instead of continuous access. Finally, several numerical simulations are presented for illustrating and verifying the proposed algorithms. Journal: International Journal of Systems Science Pages: 1440-1451 Issue: 7 Volume: 52 Year: 2021 Month: 05 X-DOI: 10.1080/00207721.2020.1858364 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1858364 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:7:p:1440-1451 Template-Type: ReDIF-Article 1.0 Author-Name: Jun Liu Author-X-Name-First: Jun Author-X-Name-Last: Liu Author-Name: Huawen Ye Author-X-Name-First: Huawen Author-X-Name-Last: Ye Author-Name: Xianting Qi Author-X-Name-First: Xianting Author-X-Name-Last: Qi Title: Stabilization of a class of uncertain feedforward nonlinear systems subject to input delay Abstract: This note presents nested-saturation controllers for stabilising a class of feed-forward nonlinear systems that are subject to uncertain gains and an input delay. To verify the reduction of nested saturations, we adopt the strategy of partitioning the delay-interval, and can thus use the state values in a small domain to calculate a crucial composite term; when proving the asymptotic stability of the reduced time-delay system, we utilise the nested structure of saturations to make a coordinate transformation and consequently, can use a M-matrix based stability criterion. In this way, the analysis in two stages is straightforward, and a single group of parameter conditions are summarised to guarantee the global asymptotic stability of the closed-loop system. Journal: International Journal of Systems Science Pages: 1466-1478 Issue: 7 Volume: 52 Year: 2021 Month: 05 X-DOI: 10.1080/00207721.2020.1859159 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1859159 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:7:p:1466-1478 Template-Type: ReDIF-Article 1.0 Author-Name: Evgeny I. Veremey Author-X-Name-First: Evgeny I. Author-X-Name-Last: Veremey Title: Optimal damping stabilisation based on LQR synthesis Abstract: Significant attention is currently being paid to the synthesis of stabilising controllers for nonlinear and non-autonomous plants. We aimed to present a new method for nonlinear time-dependent control law design based on the application of Zubov’s optimal damping concept. This theory is used to reduce significant computational costs in solving optimal stabilisation problems. The main contribution is the proposition of a new methodology for selecting the functional to be damped. The central idea is to perform parameterisation of a set of admissible items for the mentioned functional. As a particular case, a new method of this parameterisation has been developed, which can be used for constructing an approximate solution of the classical optimisation problem. The emphasis is on the specific choice of the functional to be damped using LQR control to provide the desirable stability and performance features of the closed-loop connection. The applicability and effectiveness of the proposed approach are confirmed using a practical numerical example of the convey-crane control. Journal: International Journal of Systems Science Pages: 1359-1372 Issue: 7 Volume: 52 Year: 2021 Month: 05 X-DOI: 10.1080/00207721.2020.1856969 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1856969 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:7:p:1359-1372 Template-Type: ReDIF-Article 1.0 Author-Name: M. Syed Ali Author-X-Name-First: M. Author-X-Name-Last: Syed Ali Author-Name: M. Usha Author-X-Name-First: M. Author-X-Name-Last: Usha Author-Name: O. M. Kwon Author-X-Name-First: O. M. Author-X-Name-Last: Kwon Author-Name: Nallappan Gunasekaran Author-X-Name-First: Nallappan Author-X-Name-Last: Gunasekaran Author-Name: Ganesh Kumar Thakur Author-X-Name-First: Ganesh Author-X-Name-Last: Kumar Thakur Title: ℋ∞/passive non-fragile synchronisation of Markovian jump stochastic complex dynamical networks with time-varying delays Abstract: This paper deals with the problem of $ \mathcal {H}_\infty $ /passive non-fragile synchronisation for a class of complex dynamical networks subject to Markovian jumping time-varying coupling delays. Gain variation is represented by a stochastic variable that is assumed to satisfy the Bernoulli distribution with white sequences. The synchronisation error system became stable through our designed controller. By Lyapunov–Krasovskii stability theory, a new stochastic synchronisation criterion is established for the considered network in terms of linear matrix inequality (LMI). An illustration is given to show effectiveness of the proposed theoretical results. Journal: International Journal of Systems Science Pages: 1270-1283 Issue: 7 Volume: 52 Year: 2021 Month: 05 X-DOI: 10.1080/00207721.2020.1856445 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1856445 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:7:p:1270-1283 Template-Type: ReDIF-Article 1.0 Author-Name: Lili Zhang Author-X-Name-First: Lili Author-X-Name-Last: Zhang Author-Name: Bing Chen Author-X-Name-First: Bing Author-X-Name-Last: Chen Author-Name: Chong Lin Author-X-Name-First: Chong Author-X-Name-Last: Lin Author-Name: Yun Shang Author-X-Name-First: Yun Author-X-Name-Last: Shang Title: Fuzzy adaptive finite-time consensus tracking control for nonlinear multi-agent systems Abstract: This paper focuses on the finite-time consensus tracking control problem of nonlinear multi-agent systems. Dynamics of each agent has completely unknown nonlinear terms that cannot be directly used for control design. Therefore, fuzzy logic systems are employed to approximate these nonlinear functions. Furthermore, a finite-time fuzzy adaptive consensus tracking protocol is proposed for a class of nonlinear multi-agent systems by using integral-type Lyapunov functions. The developed adaptive backstepping design scheme successfully avoids the singularity problem of the derivatives of virtual control signals. It is shown that with the presented control protocol, the consensus tracking errors converge to a small neighbourhood of the origin in finite time, and the other signals of multi-agent systems are bounded. Finally, a numerical example is used to verify the effectiveness of the proposed control protocol. Journal: International Journal of Systems Science Pages: 1346-1358 Issue: 7 Volume: 52 Year: 2021 Month: 05 X-DOI: 10.1080/00207721.2020.1856450 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1856450 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:7:p:1346-1358 Template-Type: ReDIF-Article 1.0 Author-Name: Ting Li Author-X-Name-First: Ting Author-X-Name-Last: Li Author-Name: Jun Yang Author-X-Name-First: Jun Author-X-Name-Last: Yang Author-Name: Shihua Li Author-X-Name-First: Shihua Author-X-Name-Last: Li Title: Event-triggered state feedback control for p-normal uncertain nonlinear systems Abstract: The problem of event-triggered control for a class of uncertain nonlinear systems subject to p-norm is investigated in this paper. Note that the input-to-state stability (ISS) assumption related to the measurement error and the assumption on the existence of a stable controller are removed in this paper. With the help of adding a power integrator technique, intermediately control signals are presented to address the uncertainties and nonlinearities of the system under a fixed/relative threshold strategy, which plays an important role in the design of the event-triggered controllers. A rigorous Lyapunov stability analysis method is put forward to verify that all the signals of the closed-loop system are globally uniformly bounded and converge to an arbitrarily small set. Finally, an application of an underactuated mechanical system demonstrates the effectiveness of the designed scheme. Journal: International Journal of Systems Science Pages: 1284-1296 Issue: 7 Volume: 52 Year: 2021 Month: 05 X-DOI: 10.1080/00207721.2020.1856446 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1856446 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:7:p:1284-1296 Template-Type: ReDIF-Article 1.0 Author-Name: Tianbo Xu Author-X-Name-First: Tianbo Author-X-Name-Last: Xu Author-Name: Xianwen Gao Author-X-Name-First: Xianwen Author-X-Name-Last: Gao Author-Name: Wenhai Qi Author-X-Name-First: Wenhai Author-X-Name-Last: Qi Title: Anti-disturbance control for time-varying delayed semi-Markovian jump systems with saturation and generally uncertain transition rates via disturbance observer Abstract: The issue of anti-disturbance control for semi-Markovian jump systems (S-MJSs) with saturation via disturbance observer is investigated in this paper. Compared with the existing results, time-varying delay, actuator saturation, exogenous disturbance and generally uncertain transition rates are all considered in S-MJSs. Firstly, the sufficient condition of stochastic stability based on S-MJSs with time-varying delay is proposed by stochastic Lyapunov–Krasovskii functional. Secondly, disturbance observer-based control is applied in S-MJSs for addressing exogenous disturbance, and the controller is designed to guarantee the system performance. After that, the maximum estimation of domain of attraction is solved by an optimisation problem. Finally, two practical cases are introduced for testifying the accuracy of the proposed methods. Journal: International Journal of Systems Science Pages: 1251-1269 Issue: 7 Volume: 52 Year: 2021 Month: 05 X-DOI: 10.1080/00207721.2020.1793235 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1793235 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:7:p:1251-1269 Template-Type: ReDIF-Article 1.0 Author-Name: Thales C. Silva Author-X-Name-First: Thales C. Author-X-Name-Last: Silva Author-Name: Fernando O. Souza Author-X-Name-First: Fernando O. Author-X-Name-Last: Souza Author-Name: Luciano C. A. Pimenta Author-X-Name-First: Luciano C. A. Author-X-Name-Last: Pimenta Title: Consensus in multi-agent systems subject to input saturation and time-varying delays Abstract: This paper deals with the problem of consensus in multi-agent systems. The consensus is investigated considering directed networks composed by identical agents described by linear models of arbitrary order, subject to input saturation and non-uniform time-varying delays. The main results are sufficient conditions for consensus analysis and design of distributed consensus protocols for multi-agent systems. In addition, because the saturation might prevent the multi-agent system to attain consensus on some set of initial conditions, it is also proposed a strategy to calculate a region in which the consensus is guaranteed. The results follow from the Lyapunov–Krasovskii theory and are formulated in the linear matrix inequalities (LMIs) framework. Finally, we present examples to illustrate the effectiveness of the proposed method in contrast with similar approaches existing in the literature. Journal: International Journal of Systems Science Pages: 1479-1498 Issue: 7 Volume: 52 Year: 2021 Month: 05 X-DOI: 10.1080/00207721.2020.1860267 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1860267 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:7:p:1479-1498 Template-Type: ReDIF-Article 1.0 Author-Name: Jian Zhang Author-X-Name-First: Jian Author-X-Name-Last: Zhang Author-Name: Hao Zhao Author-X-Name-First: Hao Author-X-Name-Last: Zhao Author-Name: Zhiguang Feng Author-X-Name-First: Zhiguang Author-X-Name-Last: Feng Author-Name: Long Liu Author-X-Name-First: Long Author-X-Name-Last: Liu Title: Fault-tolerant control for turbocharged diesel engine air path via disturbance observer Abstract: This paper investigates fault-tolerant control algorithm for diesel engine air path system with consideration of system parametric uncertainties, external disturbances and actuator faults. Initially, a finite-time disturbance observer is developed for estimating the synchronised uncertainties including parametric uncertainties and external disturbances. Based on the reconstructed information from the observer, a fault-tolerant control law is designed by using sliding mode control incorporated adaptive method. Furthermore, to attenuate the chattering problem caused by conventional sliding mode control method, the hyperbolic tangent function is utilised. A novel sliding variable is employed for improving the performance of the modified chattering-free control approach. The proposed fault-tolerant control algorithm is feasible for implementing and unnecessary caculations can be avoided, because the synchronised uncertainties and the actuator faults are tackled separately. Besides, the observer does not require the priori knowledge of the upper bounds of the synchronised uncertainties. Finally, simulation results and comparison are carried out and analysed for illustrating the effectiveness and validness of the proposed control schemes. Journal: International Journal of Systems Science Pages: 1329-1345 Issue: 7 Volume: 52 Year: 2021 Month: 05 X-DOI: 10.1080/00207721.2020.1856449 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1856449 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:7:p:1329-1345 Template-Type: ReDIF-Article 1.0 Author-Name: Ali Kazemy Author-X-Name-First: Ali Author-X-Name-Last: Kazemy Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Author-Name: Zhao Chang Author-X-Name-First: Zhao Author-X-Name-Last: Chang Title: Adaptive event-triggered mechanism for networked control systems under deception attacks with uncertain occurring probability Abstract: This paper addresses the problem of adaptive event-triggered control of nonlinear networked control systems under deception attacks. An adaptive event-triggered scheme has been utilised to reduce data transmissions via the communication channel. To model the occurrence of the random deception cyber-attacks on the transmitted data, a Bernoulli random variable is employed. Since the probability of occurrence of this random variable is not completely known in practice, this value is considered with uncertainty while almost all the existing methods consider it to be exactly known. By using the Lyapunov–Krasovskii method, sufficient conditions for the stability of the closed-loop system are derived and presented in terms of linear matrix inequalities. In the end, two illustrative examples are provided to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1426-1439 Issue: 7 Volume: 52 Year: 2021 Month: 05 X-DOI: 10.1080/00207721.2020.1858205 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1858205 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:7:p:1426-1439 Template-Type: ReDIF-Article 1.0 Author-Name: Zengwang Jin Author-X-Name-First: Zengwang Author-X-Name-Last: Jin Author-Name: Yanyan Hu Author-X-Name-First: Yanyan Author-X-Name-Last: Hu Author-Name: Changyin Sun Author-X-Name-First: Changyin Author-X-Name-Last: Sun Author-Name: Youmin Zhang Author-X-Name-First: Youmin Author-X-Name-Last: Zhang Title: State estimation with multi-level vector quantisation and communication uncertainty Abstract: In this paper, we design a state estimation algorithm for vector state-vector measurement systems over wireless sensor networks subject to bandwidth limitation and communication uncertainty. With the aid of Mahalanobis transformation, vector measurement innovations are decorrelated into the normalised ones to facilitate parallel quantisation. Then, taking account of Gaussian channel noises, a generalised multi-level quantisation mechanism and the minimum mean square error (MMSE) estimator are jointly designed, where optimal quantisation parameters can be solved by minimising the estimation error covariance with given quantisation level. The proposed MMSE estimator not only has a similar recursive structure as the classical Kalman filter, but also dramatically reduces the sensor-to-estimator communication requirement with only a slight deterioration of estimation performance. The combined effect of quantisation mechanism and communication uncertainty on estimation performance is also discussed. Finally, Monte Carlo simulation results illustrate the effectiveness and efficiency of the proposed quantised estimator. Journal: International Journal of Systems Science Pages: 1297-1314 Issue: 7 Volume: 52 Year: 2021 Month: 05 X-DOI: 10.1080/00207721.2020.1856447 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1856447 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:7:p:1297-1314 Template-Type: ReDIF-Article 1.0 Author-Name: Manmohan Sharma Author-X-Name-First: Manmohan Author-X-Name-Last: Sharma Author-Name: Indrani Kar Author-X-Name-First: Indrani Author-X-Name-Last: Kar Title: Geometric control of quadrotor with finite-time convergence and improved transients Abstract: A finite-time geometric control of quadrotor has been proposed in this paper by representing the attitude using rotation matrices to avoid the singularities and ambiguities associated with Euler angles and quaternions. One of the unique features of the controller is the use of left tracking error function to simplify controller design. A composite error function is designed and it is proved mathematically that the closed-loop attitude as well as the translational dynamics are finite-time stable. The coordinate invariant approach is another unique features of the proposed method as opposed to the literature. Numerical simulations have been provided at the end to show the effectiveness of the proposed method. Simulation results demonstrate better transient performance of the proposed control method as compared to control law presented in the literature. Journal: International Journal of Systems Science Pages: 1396-1413 Issue: 7 Volume: 52 Year: 2021 Month: 05 X-DOI: 10.1080/00207721.2020.1857880 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1857880 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:7:p:1396-1413 Template-Type: ReDIF-Article 1.0 Author-Name: Nguyen T. Thanh Author-X-Name-First: Nguyen T. Author-X-Name-Last: Thanh Author-Name: Piyapong Niamsup Author-X-Name-First: Piyapong Author-X-Name-Last: Niamsup Author-Name: Vu N. Phat Author-X-Name-First: Vu N. Author-X-Name-Last: Phat Title: Observer-based finite-time control of linear fractional-order systems with interval time-varying delay Abstract: In this paper, the problem of finite-time observer-based control for linear fractional-order systems with interval time-varying delay is studied. The delay is assumed to vary within an interval with known lower and upper bounds. A new proposition on estimating Caputo derivatives of quadratic functions is given. Based on the proposed result, delay-dependent sufficient conditions for finite-time stability and for designing state feedback controllers and observer gains for observer-based control problem are established in terms of a tractable linear matrix inequality and Mittag–Leffler function. A numerical example with simulation is given to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1386-1395 Issue: 7 Volume: 52 Year: 2021 Month: 05 X-DOI: 10.1080/00207721.2020.1857879 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1857879 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:7:p:1386-1395 Template-Type: ReDIF-Article 1.0 Author-Name: Jaejun Lee Author-X-Name-First: Jaejun Author-X-Name-Last: Lee Author-Name: Ji Hyun Moon Author-X-Name-First: Ji Hyun Author-X-Name-Last: Moon Author-Name: Ho Jae Lee Author-X-Name-First: Ho Jae Author-X-Name-Last: Lee Title: Robust ℋ∞ and ℒ∞–ℒ∞ sampled-data dynamic output-feedback control for nonlinear system in T–S form including singular perturbation Abstract: This paper pays attention to the robust sampled-data dynamic output-feedback stabilisation problems for a singularly perturbed nonlinear system in Takagi–Sugeno (T–S) form when the system suffers from parametric uncertainties and $ \mathcal {L}_{2} $ L2 or $ \mathcal {L}_{\infty } $ L∞ disturbances. Two design conditions are proposed in terms of linear matrix inequalities such that the admissible controllers guarantee the prescribed $ \mathcal {H}_{\infty } $ H∞ and $ \mathcal {L}_{\infty } $ L∞– $ \mathcal {L}_{\infty } $ L∞ disturbance-attenuation levels, respectively. The features of the development are that (i) the sampled-data syntheses are performed in a continuous-time domain and (ii) (even approximate) discrete-time modelling of the T–S fuzzy system is not involved. Journal: International Journal of Systems Science Pages: 1315-1328 Issue: 7 Volume: 52 Year: 2021 Month: 05 X-DOI: 10.1080/00207721.2020.1856448 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1856448 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:7:p:1315-1328 Template-Type: ReDIF-Article 1.0 Author-Name: Kajal Kothari Author-X-Name-First: Kajal Author-X-Name-Last: Kothari Author-Name: Utkal Mehta Author-X-Name-First: Utkal Author-X-Name-Last: Mehta Title: Fractional-order two-input two-output process identification based on Haar operational matrix Abstract: The identification of multi-input-multi-output process is always challenging due to significant loop interactions. This article proposes an identification technique for two-input-two-output processes with fractional order models via Haar wavelet feature. The presented technique can estimate independent four fractional single-pole time delay models without additional steps to decouple processes during identification. The method uses a well-known relay feedback test to produce the input-output data for measurements. Then, the Haar wavelet operational matrix based algebraic approach is utilised to identify the unknown process models with reduced complexity. Numerical analysis on various examples show the efficacy even in presence of noise and without additional filter or preprocessing of measured signals. The comparative study proves advantages of the presented approach. Journal: International Journal of Systems Science Pages: 1373-1385 Issue: 7 Volume: 52 Year: 2021 Month: 05 X-DOI: 10.1080/00207721.2020.1857503 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1857503 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:7:p:1373-1385 Template-Type: ReDIF-Article 1.0 Author-Name: Fei Zhu Author-X-Name-First: Fei Author-X-Name-Last: Zhu Author-Name: Xianfu Zhang Author-X-Name-First: Xianfu Author-X-Name-Last: Zhang Author-Name: Hanfeng Li Author-X-Name-First: Hanfeng Author-X-Name-Last: Li Title: Event-triggered decentralised control for large-scale systems with actuator failures Abstract: This paper investigates the trajectory tracking problem for large-scale nonlinear systems in lower triangular form by employing the technology of static gain. For one thing, in the interest of improving the fault tolerance of the concerned system, a novel adaptive compensation method is considered in the tracking strategy for dealing with actuator failures. For another, in order to alleviate the communication burden and maintain satisfactory systems performance, the control method for handling event-triggered input is also added in the tracking strategy. Besides, this paper also proves that the designed strategy can achieve the control goal for large-scale nonlinear systems with bounded disturbance. The simulation example of the machine feed system is given to verify the validity of the proposed strategy. Journal: International Journal of Systems Science Pages: 1414-1425 Issue: 7 Volume: 52 Year: 2021 Month: 05 X-DOI: 10.1080/00207721.2020.1857881 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1857881 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:7:p:1414-1425 Template-Type: ReDIF-Article 1.0 Author-Name: Miao Yu Author-X-Name-First: Miao Author-X-Name-Last: Yu Author-Name: Xianqiang Yang Author-X-Name-First: Xianqiang Author-X-Name-Last: Yang Author-Name: Xinpeng Liu Author-X-Name-First: Xinpeng Author-X-Name-Last: Liu Title: LPV system identification with multiple-model approach based on shifted asymmetric laplace distribution Abstract: The robust linear parameters varying systems identification method with multiple-model approach is addressed in this paper. Various noise and outliers commonly exist in practical industrial processes and have a serious impact on data-driven system identification methods. A statistic approach is proposed in the paper where the centralised asymmetric Laplace (CAL) distribution is employed to model the noise and therefore the parameters estimation algorithm based on CAL distribution is robust to the symmetric/asymmetric noise and outliers. CAL distribution is represented as the product of exponential distribution and Gaussian distribution, and therefore the parameters estimation formulas are deduced in the expectation maximisation algorithm framework. The efficacy and the robustness of the proposed algorithm are verified by a numerical example and the continuous stirred tank reactor system experiment. Journal: International Journal of Systems Science Pages: 1452-1465 Issue: 7 Volume: 52 Year: 2021 Month: 05 X-DOI: 10.1080/00207721.2020.1859158 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1859158 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:7:p:1452-1465 Template-Type: ReDIF-Article 1.0 Author-Name: Carlos Henrique Farias dos Santos Author-X-Name-First: Carlos Henrique Farias Author-X-Name-Last: dos Santos Author-Name: Mohamed Hassan Abdali Author-X-Name-First: Mohamed Hassan Author-X-Name-Last: Abdali Author-Name: Daniel Martins Author-X-Name-First: Daniel Author-X-Name-Last: Martins Author-Name: Campos Bonilla Aníbal Alexandre Author-X-Name-First: Campos Bonilla Author-X-Name-Last: Aníbal Alexandre Title: Geometrical motion planning for cable-climbing robots applied to distribution power lines inspection Abstract: This paper describes a kind of mobile robot, named cable-climbing robot, and its motion planning development. That robotic system is capable of moving over electricity distribution lines, which can easily overcome the obstacles present in those installations like insulators, thanks to its kinematic motion planning of collision avoidance. The cable-climbing robot avoids the obstacles by the adoption of sequential movement planning with the objective of climbing insulators in electric posts. This approach avoids the obstacles, making the robot-articulated suspensions to retract when it is close to the obstacle and to distend after it passes over it. This kind of movement is controlled by a geometric motion planning method which is performed by the quintic polynomial interpolation law. The kinematic modelling uses the screw-based Jacobian Method combining with Virtual Kinematic chains, which permits the usage of the Kirchhoff-Davies method. Thus obtaining the cable-climbing robot inverse kinematic model. Simulation shows the potential use of this technique to cope with the cable-climbing robots control. Journal: International Journal of Systems Science Pages: 1646-1663 Issue: 8 Volume: 52 Year: 2021 Month: 06 X-DOI: 10.1080/00207721.2020.1868612 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1868612 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:8:p:1646-1663 Template-Type: ReDIF-Article 1.0 Author-Name: Tianrui Li Author-X-Name-First: Tianrui Author-X-Name-Last: Li Author-Name: Weiqun Wang Author-X-Name-First: Weiqun Author-X-Name-Last: Wang Author-Name: Weimin Chen Author-X-Name-First: Weimin Author-X-Name-Last: Chen Title: Event-triggered observer-based H∞ control of switched linear systems with time-varying delay Abstract: This paper is devoted to study the issue of event-triggered observer-based $ H_{\infty } $ H∞ control of switched linear systems subject to time-varying state delay and exogenous disturbance. Firstly, an observer-based event-triggered controller is provided under the proposed event-triggered mechanism. Then, based on the average dwell time scheme and Jensen's Inequality technique, delay-dependent less conservative sufficient conditions in terms of Linear Matrix Inequalities (LMIs) are obtained to guarantee the resulting augmented switched systems is exponential stabilisation and satisfies a prescribed $ H_{\infty } $ H∞ control performance. Furthermore, observer-based event-triggered controller is designed, and it is shown that there exists a positive lower bound of inter-event intervals. Finally, numerical example and comparison results are provided to illustrate the effectiveness and advantages of the proposed method. Journal: International Journal of Systems Science Pages: 1618-1632 Issue: 8 Volume: 52 Year: 2021 Month: 06 X-DOI: 10.1080/00207721.2020.1868610 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1868610 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:8:p:1618-1632 Template-Type: ReDIF-Article 1.0 Author-Name: Bilal J. Karaki Author-X-Name-First: Bilal J. Author-X-Name-Last: Karaki Author-Name: Magdi S. Mahmoud Author-X-Name-First: Magdi S. Author-X-Name-Last: Mahmoud Title: Quantised scaled consensus of linear multiagent systems on faulty networks Abstract: In this paper, the practical mean-square scaled-consensus problem of multiagent systems is studied. Higher-order general linear dynamics is investigated, where all agents are subject to faults or denial of service attacks (DoS). The considered network comprises agents taking quantised states under undirected communication channels. Different from the existing works, no strict conditions have been imposed on the eigenvalues of the agents' state matrix. First, we propose a distributed scaled-consensus protocol that utilises a probabilistic quantisation algorithm. Second, scaled-disagreement analysis is provided via mean-square stability methodology. Finally, sufficient conditions in terms of linear matrix inequalities are presented in order to obtain scaled-consensus gain for both leaderless and leader–follower cases. The presented theoretical results are examined through two simulation examples. Journal: International Journal of Systems Science Pages: 1692-1706 Issue: 8 Volume: 52 Year: 2021 Month: 06 X-DOI: 10.1080/00207721.2020.1869343 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1869343 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:8:p:1692-1706 Template-Type: ReDIF-Article 1.0 Author-Name: Junwei Wang Author-X-Name-First: Junwei Author-X-Name-Last: Wang Author-Name: Bo Shen Author-X-Name-First: Bo Author-X-Name-Last: Shen Author-Name: Zidong Wang Author-X-Name-First: Zidong Author-X-Name-Last: Wang Author-Name: Fuad E. Alsaadi Author-X-Name-First: Fuad E. Author-X-Name-Last: Alsaadi Author-Name: Khalid H. Alharbi Author-X-Name-First: Khalid H. Author-X-Name-Last: Alharbi Title: State-of-charge estimation for Li-ion batteries with uncertain parameters and uncorrelated/correlated noises: a recursive approach Abstract: In this paper, the recursive state-of-charge (SOC) estimation problem is investigated for the Li-ion batteries. The uncertain parameters, which are used to account for the effects of the changing temperatures, the battery power and the drift current of current sensors, are considered in the modelling process of the Li-ion batteries. Moreover, the uncorrelated/correlated noises are also considered based on the engineering practice. The aim of the paper is to design a SOC estimation scheme such that an upper bound on the estimation error covariance is guaranteed, and such an upper bound is then minimised by appropriately designing the estimator gain. Finally, simulation experiments are carried out to demonstrate the effectiveness of our proposed SOC estimation scheme. Journal: International Journal of Systems Science Pages: 1675-1691 Issue: 8 Volume: 52 Year: 2021 Month: 06 X-DOI: 10.1080/00207721.2020.1868614 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1868614 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:8:p:1675-1691 Template-Type: ReDIF-Article 1.0 Author-Name: Xiangdong Liu Author-X-Name-First: Xiangdong Author-X-Name-Last: Liu Author-Name: Shengchao He Author-X-Name-First: Shengchao Author-X-Name-Last: He Author-Name: Pingli Lu Author-X-Name-First: Pingli Author-X-Name-Last: Lu Author-Name: Haikuo Liu Author-X-Name-First: Haikuo Author-X-Name-Last: Liu Author-Name: Changkun Du Author-X-Name-First: Changkun Author-X-Name-Last: Du Title: Finite-time consensus for multi-agent systems with nonlinear dynamics under Euler digraph via pinning control Abstract: This paper addresses the finite-time consensus problem for multi-agent systems with nonlinear dynamics under Euler digraph. By pinning control technique, a nonlinear distributed protocol is proposed, which ensures that all the agents can be controlled to the pinner's trajectory in finite time. Furthermore, we solve the challenging and fundamental question that how many nodes should be pinned to reach finite-time consensus. A sufficient condition is proposed to achieve finite-time consensus for multi-agent systems with nonlinear dynamics under Euler digraph. It is found that adding communication connections or increasing feedback gains is an effective way to reduce the settling time. Finally, numerical simulations are presented to verify the effectiveness of the obtained theoretical results. Journal: International Journal of Systems Science Pages: 1664-1674 Issue: 8 Volume: 52 Year: 2021 Month: 06 X-DOI: 10.1080/00207721.2020.1868613 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1868613 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:8:p:1664-1674 Template-Type: ReDIF-Article 1.0 Author-Name: Antonio González Author-X-Name-First: Antonio Author-X-Name-Last: González Title: A novel descriptor redundancy method based on delay partition for exponential stability of time delay systems Abstract: This paper investigates the exponential stability of uncertain time delay systems using a novel descriptor redundancy approach based on delay partitioning. First, the original system is casted into an equivalent descriptor singular state–space representation by introducing redundant state variables so that the resulting delay is progressively reduced. From the equivalent model and applying Lyapunov Functional method, a sufficient condition based on Linear Matrix Inequalities (LMIs) for exponential stability with guaranteed decay rate performance is obtained. As a result, the inherent conservatism of Lyapunov–Krasovskii functional techniques can arbitrarily be reduced by increasing the number of delay partition intervals including decay rate performance and model uncertainties in polytopic form. Various benchmark examples are provided to validate the effectiveness of the proposed method, showing better trade-off between conservatism and performance in comparison to previous approaches. Journal: International Journal of Systems Science Pages: 1707-1718 Issue: 8 Volume: 52 Year: 2021 Month: 06 X-DOI: 10.1080/00207721.2020.1869344 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1869344 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:8:p:1707-1718 Template-Type: ReDIF-Article 1.0 Author-Name: Bacem Ben Nasser Author-X-Name-First: Bacem Author-X-Name-Last: Ben Nasser Author-Name: Mohamed Djemai Author-X-Name-First: Mohamed Author-X-Name-Last: Djemai Author-Name: Michael Defoort Author-X-Name-First: Michael Author-X-Name-Last: Defoort Author-Name: Taous-Meriem Laleg-Kirati Author-X-Name-First: Taous-Meriem Author-X-Name-Last: Laleg-Kirati Title: Time scale state feedback h-stabilisation of linear systems under Lipschitz-type disturbances Abstract: This paper studies the h-stabilisation problem of certain classes of perturbed systems on time scales. Sufficient conditions for the control law design are proposed to ensure the h-stability of the closed-loop dynamical system under Lipschitz-type disturbances. Using the Gronwall inequality approach with time scale theory, the h-stability of the closed-loop system is investigated in non-uniform time domains with bounded graininess. Some numerical examples are provided to show the feasibility of the obtained results using the proposed approach for systems evolving on some arbitrary time scales. Journal: International Journal of Systems Science Pages: 1719-1729 Issue: 8 Volume: 52 Year: 2021 Month: 06 X-DOI: 10.1080/00207721.2020.1869345 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1869345 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:8:p:1719-1729 Template-Type: ReDIF-Article 1.0 Author-Name: Alireza Mousavi Author-X-Name-First: Alireza Author-X-Name-Last: Mousavi Author-Name: Amir H. D. Markazi Author-X-Name-First: Amir H. D. Author-X-Name-Last: Markazi Title: A predictive approach to adaptive fuzzy sliding-mode control of under-actuated nonlinear systems with input saturation Abstract: In this paper, a computationally efficient robust predictive control method is proposed for continuous-time under-actuated SISO systems in the presence of actuator saturation and state-dependent uncertainties. The proposition of this research is to employ the idea of model prediction together with the Adaptive Fuzzy Sliding-Mode Control (AFSMC) for tuning the sliding surface parameters by predicting the anticipated effects of uncertainties. In the proposed scheme, only after the trigger conditions are met, the coefficients of the sliding surface are updated and the AFSMC is applied. Hence, computational complexity can be controlled by adjusting the switching rule. In the AFSMC, a fuzzy system is used to approximate a nonlinear function, and a robust term to compensate for any possible mismatches. An adaptively tuned gain is also applied to the control signal to prevent instability caused by the actuator saturation. Based on the updating sliding surface, fuzzy singletons, the upper bound of the fuzzy approximation error, and the saturation gain are adaptively tuned. Closed-loop stability is shown to be guaranteed using the multiple Lyapunov functions theorem and the Barbalat’s lemma. Finally, the method is applied for the depth control of an Autonomous Underwater Vehicle (AUV), depicting the excellent performance of the proposed method. Journal: International Journal of Systems Science Pages: 1599-1617 Issue: 8 Volume: 52 Year: 2021 Month: 06 X-DOI: 10.1080/00207721.2020.1867775 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1867775 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:8:p:1599-1617 Template-Type: ReDIF-Article 1.0 Author-Name: Xinxin Wang Author-X-Name-First: Xinxin Author-X-Name-Last: Wang Author-Name: Yurui Chang Author-X-Name-First: Yurui Author-X-Name-Last: Chang Author-Name: Zeshui Xu Author-X-Name-First: Zeshui Author-X-Name-Last: Xu Author-Name: Zidong Wang Author-X-Name-First: Zidong Author-X-Name-Last: Wang Author-Name: Visakan Kadirkamanathan Author-X-Name-First: Visakan Author-X-Name-Last: Kadirkamanathan Title: 50 Years of international journal of systems science: a review of the past and trends for the future Abstract: International Journal of Systems Science (IJSS) is an international journal in the fields of Automation & Control Systems, Computer Science, and Operations Research & Management Science. This paper is a celebration of the 50th anniversary of IJSS. A Web of Science count of 7528 documents were derived from 1970 to 2019 as data sources for the bibliometric analysis. First, the fundamental characteristics of the documents were identified from the bibliometric indicators, and features of keywords were revealed over the half century. A timeline and occurrence analyses were conducted via the software tools, through which popular keywords were visualised in different time periods. These were then grouped into four categories by a hierarchical clustering method, and emerging keywords were selected using burst detection analysis. This was followed by the Autoregressive Integrated Moving Average modelling to predict the future research trends in the four clusters as evidenced in the historical data. Documents were discussed in the recent 20 years towards guiding scholars in three aspects, i.e. problems addressed, popular methodologies, and impact in the relevant fields. Finally, a summary of the main findings was given in the conclusions. Journal: International Journal of Systems Science Pages: 1515-1538 Issue: 8 Volume: 52 Year: 2021 Month: 06 X-DOI: 10.1080/00207721.2020.1862937 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1862937 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:8:p:1515-1538 Template-Type: ReDIF-Article 1.0 Author-Name: Haoyan Zhang Author-X-Name-First: Haoyan Author-X-Name-Last: Zhang Author-Name: Ning Xu Author-X-Name-First: Ning Author-X-Name-Last: Xu Author-Name: Guangdeng Zong Author-X-Name-First: Guangdeng Author-X-Name-Last: Zong Author-Name: Abdulhameed F. Alkhateeb Author-X-Name-First: Abdulhameed F. Author-X-Name-Last: Alkhateeb Title: Adaptive fuzzy hierarchical sliding mode control of uncertain under-actuated switched nonlinear systems with actuator faults Abstract: This paper aims at putting forward an adaptive fuzzy hierarchical sliding mode control method to deal with the control problem for uncertain under-actuated switched nonlinear systems with actuator faults. First, both the bias fault and the loss of effectiveness are considered for the actuator faults. Then, the unknown uncertain functions of the under-actuated switched nonlinear system are approximated by utilising the approximation ability of fuzzy logic systems (FLSs). The error terms caused by FLSs and the upper bound of the bias signal of the actuator faults are integrated into a function where the upper bound of the function is on-line estimated. Furthermore, the singular problem of denominators can be well solved by introducing the projection algorithm. Based on our proposed control scheme, the boundedness of all the signals in the closed-loop system can be verified by resorting to the Lyapunov stability theory. Finally, a simulation example is given to verify the effectiveness of the proposed control scheme. Journal: International Journal of Systems Science Pages: 1499-1514 Issue: 8 Volume: 52 Year: 2021 Month: 06 X-DOI: 10.1080/00207721.2020.1831645 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1831645 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:8:p:1499-1514 Template-Type: ReDIF-Article 1.0 Author-Name: Johannes Diwold Author-X-Name-First: Johannes Author-X-Name-Last: Diwold Author-Name: Bernd Kolar Author-X-Name-First: Bernd Author-X-Name-Last: Kolar Author-Name: Markus Schöberl Author-X-Name-First: Markus Author-X-Name-Last: Schöberl Title: A normal form for two-input forward-flat nonlinear discrete-time systems Abstract: We show that every forward-flat nonlinear discrete-time system with two inputs can be transformed into a structurally flat normal form by state- and input transformations. This normal form has a triangular structure and allows to read off the flat output, as well as a systematic construction of the parameterisation of all system variables by the flat output and its forward-shifts. For flat continuous-time systems, no comparable normal form exists. Journal: International Journal of Systems Science Pages: 1586-1598 Issue: 8 Volume: 52 Year: 2021 Month: 06 X-DOI: 10.1080/00207721.2020.1866095 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1866095 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:8:p:1586-1598 Template-Type: ReDIF-Article 1.0 Author-Name: Huiying Liu Author-X-Name-First: Huiying Author-X-Name-Last: Liu Author-Name: Lijun Gao Author-X-Name-First: Lijun Author-X-Name-Last: Gao Author-Name: Zhenyue Wang Author-X-Name-First: Zhenyue Author-X-Name-Last: Wang Author-Name: Zihan Liu Author-X-Name-First: Zihan Author-X-Name-Last: Liu Title: Asynchronous l2 – l∞ filtering of discrete-time impulsive switched systems with admissible edge-dependent average dwell time switching signal Abstract: In this paper, the asynchronous $ l_{2}-l_{\infty } $ l2−l∞ filtering problem is directed at a kind of discrete-time impulsive switched systems, where ‘asynchronous’ implies that there is a delay when switching occurs between filter modes and system modes. A novel Lyapunov function has been constructed. The inventiveness lies in discontinuity of Lyapunov-like function at both the switching time and the instant when the system modes and filter modes are matched. An improved inequality portraying the relationship among Lyapunov-like function, impulse, asynchronous phenomena and disturbance is built to pledge the $ l_{2}-l_{\infty } $ l2−l∞ performance. On the basis of directed graph, the novel Lyapunov function, the improved inequality and admissible edge-dependent average dwell time technology, some criteria suitable for proving the globally uniformly exponential stability of filtering error system are proposed with $ l_{2}-l_{\infty } $ l2−l∞ performance index, and the relevant filter can also be designed. Finally, three numerical examples show the availability of the obtained conclusions. Journal: International Journal of Systems Science Pages: 1564-1585 Issue: 8 Volume: 52 Year: 2021 Month: 06 X-DOI: 10.1080/00207721.2020.1866094 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1866094 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:8:p:1564-1585 Template-Type: ReDIF-Article 1.0 Author-Name: Xin Deng Author-X-Name-First: Xin Author-X-Name-Last: Deng Author-Name: Yang Cui Author-X-Name-First: Yang Author-X-Name-Last: Cui Title: Adaptive fuzzy containment control for nonlinear multi-agent systems with input delay Abstract: This paper focuses on a problem of adaptive fuzzy containment control for nonlinear multi-agent systems with input delay. Through the Pade approximation and intermediate variable, the positive constant delays of nonlinear systems inputs are transferred to the coefficients of the next dynamic equation. The phenomenon of “complexity explosion” in traditional backstepping control technique is avoided by introducing first-order filters, in which a new variable replaces the derivative of the virtual controller. In addition, fuzzy logic systems (FLSs) are used to approximate the unknown nonlinear functions of nonlinear multi-agent systems. No matter what the order of the nonlinear multi-agent systems is, only two adaptive laws need to be designed in the adaptive fuzzy containment controller design process for each follower. Using the proposed control method, all followers can converge to the convex hull established by the leaders, and the closed-loop system is stable. The simulation results can further illustrate the effectiveness of the proposed control method. Journal: International Journal of Systems Science Pages: 1633-1645 Issue: 8 Volume: 52 Year: 2021 Month: 06 X-DOI: 10.1080/00207721.2020.1868611 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1868611 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:8:p:1633-1645 Template-Type: ReDIF-Article 1.0 Author-Name: Si-Yu An Author-X-Name-First: Si-Yu Author-X-Name-Last: An Author-Name: Ming Chen Author-X-Name-First: Ming Author-X-Name-Last: Chen Author-Name: Huan-Qing Wang Author-X-Name-First: Huan-Qing Author-X-Name-Last: Wang Author-Name: Li-Bing Wu Author-X-Name-First: Li-Bing Author-X-Name-Last: Wu Title: Fast finite-time dynamic surface tracking control of a single-joint manipulator system with prescribed performance Abstract: Based on Lyapunov finite-time stability theory and backstepping control strategy, we put forward a novel fast finite-time dynamic surface tracking control scheme for a single-joint manipulator system with prescribed performance. Compared with most of the traditional prescribed performance finite-time control methods, this work uses a new universal asymmetric barrier function and has a faster convergence speed. In addition, our proposed method eliminates the problem of explosion of complexity based on the dynamic surface. The proposed controller ensures that the closed-loop system is finite-time stable, and the output variable tracks the desired output signal at finite time. Meanwhile, the tracking error converges to the prescribed boundary constraints, and all the signals of the closed-loop system are bounded. In the end, a simulation example is presented to demonstrate the effectiveness of the proposed scheme. Journal: International Journal of Systems Science Pages: 1551-1563 Issue: 8 Volume: 52 Year: 2021 Month: 06 X-DOI: 10.1080/00207721.2020.1864506 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1864506 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:8:p:1551-1563 Template-Type: ReDIF-Article 1.0 Author-Name: Zhen-Man Gao Author-X-Name-First: Zhen-Man Author-X-Name-Last: Gao Author-Name: Guo-Ping Liu Author-X-Name-First: Guo-Ping Author-X-Name-Last: Liu Author-Name: Yong He Author-X-Name-First: Yong Author-X-Name-Last: He Author-Name: Min Wu Author-X-Name-First: Min Author-X-Name-Last: Wu Author-Name: Rukshan Navaratne Author-X-Name-First: Rukshan Author-X-Name-Last: Navaratne Title: Novel stability criteria for aperiodic sampled-data systems via a time-squared-dependent augmented functional Abstract: This paper is focusing on the stability analysis of aperiodic sampled-data systems. The augmented Lyapunov functional is powerful to produce a stability criterion with less conservatism owing to the well construction of coupled relationships among time-dependent states. In this paper, a novel augmented Lyapunov functional involving the time-squared-dependent augmented term is presented under the double-side looped-functional technique, which considers coupled relationships more fully than the current ones. Then, an improved negative definiteness lemma based on adjustable parameters is developed, resulting in a less conservative negative definite condition for the derivative of the Lyapunov functional. Finally, a stability criterion is derived based on the Lyapunov functional and the improved lemma, whose effectiveness is illustrated with four numerical examples and one practical example. Journal: International Journal of Systems Science Pages: 1539-1550 Issue: 8 Volume: 52 Year: 2021 Month: 06 X-DOI: 10.1080/00207721.2020.1863502 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1863502 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:8:p:1539-1550 Template-Type: ReDIF-Article 1.0 Author-Name: Mali Xing Author-X-Name-First: Mali Author-X-Name-Last: Xing Author-Name: Feiqi Deng Author-X-Name-First: Feiqi Author-X-Name-Last: Deng Author-Name: Panshuo Li Author-X-Name-First: Panshuo Author-X-Name-Last: Li Author-Name: Hao Yin Author-X-Name-First: Hao Author-X-Name-Last: Yin Author-Name: Muqing Deng Author-X-Name-First: Muqing Author-X-Name-Last: Deng Title: Event-triggered tracking control for multi-agent systems with measurement noises Abstract: This paper considers the mean-square leader-following consensus problem for heterogeneous multi-agent systems (MASs) affected by noises. Because only the output signal of a leader can be measured, a distributed dynamic control driven by an event-triggered mechanism (ETM) is proposed. The proposed ETM can reduce the signal transmission amount from sampler to controller. Using the tine-delay model method, the system under the proposed controller can be modelled as a stochastic time-delay system. Then the time-varying Hanaly inequality is utilised to obtain sufficient conditions that guarantee the consensus of MASs. Further, the quantity-based event-triggered mechanism is proposed to reduce the amount of traffic. Finally, an example is given to illustrate the validity of the obtained results. Journal: International Journal of Systems Science Pages: 1974-1986 Issue: 10 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2021.1874073 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1874073 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:10:p:1974-1986 Template-Type: ReDIF-Article 1.0 Author-Name: Guangren Duan Author-X-Name-First: Guangren Author-X-Name-Last: Duan Title: High-order fully-actuated system approaches: Part VI. Disturbance attenuation and decoupling Abstract: Two types of high-order fully actuated (HOFA) system models subject to external disturbances are firstly introduced. For the type of HOFA systems with deterministic disturbances, the problem of disturbance attenuation via state feedback is treated. While for the type of HOFA systems with dynamical disturbances, the problem of asymptotic disturbance decoupling via output feedback is considered. Utilising the full-actuation feature of the HOFA systems, disturbance attenuation and decoupling controllers for the corresponding systems are conveniently designed such that constant linear closed-loop systems with designed disturbance rejection properties are resulted in. Parametric designs for both controllers are provided, and disturbance attenuation is achieved by establishing a parametric form of the closed-loop transfer function from the disturbance to the output, while the parametric form of the disturbance decoupling controller is derived based on a complete parametric solution to a type of generalised Sylvester equations (GSEs). As a consequence of the parameter approaches, additional performance requirements on the closed-loop systems can be also easily handled. An illustrative example demonstrates the effect of the proposed approach. Journal: International Journal of Systems Science Pages: 2161-2181 Issue: 10 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2021.1879966 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1879966 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:10:p:2161-2181 Template-Type: ReDIF-Article 1.0 Author-Name: Umair Zulfiqar Author-X-Name-First: Umair Author-X-Name-Last: Zulfiqar Author-Name: Victor Sreeram Author-X-Name-First: Victor Author-X-Name-Last: Sreeram Author-Name: Mian Ilyas Ahmad Author-X-Name-First: Mian Author-X-Name-Last: Ilyas Ahmad Author-Name: Xin Du Author-X-Name-First: Xin Author-X-Name-Last: Du Title: Time- and frequency-limited H2-optimal model order reduction of bilinear control systems Abstract: In the time- and frequency-limited model order reduction, a reduced-order approximation of the original high-order model is sought to ensure superior accuracy in some desired time and frequency intervals. We first consider the time-limited $ \mathcal {H}_2 $ H2-optimal model order reduction problem for bilinear control systems and derive first-order optimality conditions that a local optimum reduced-order model should satisfy. We then propose a heuristic algorithm that generates a reduced-order model, which tends to achieve these optimality conditions. The frequency-limited and the time-limited $ \mathcal {H}_2 $ H2-pseudo-optimal model reduction problems are also considered wherein we restrict our focus on constructing a reduced-order model that satisfies a subset of the respective optimality conditions for the local optimum. Two new algorithms have been proposed that enforce two out of four optimality conditions on the reduced-order model upon convergence. The algorithms are tested on three numerical examples to validate the theoretical results presented in the paper. The numerical results confirm the efficacy of the proposed algorithms. Journal: International Journal of Systems Science Pages: 1953-1973 Issue: 10 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2021.1873452 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1873452 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:10:p:1953-1973 Template-Type: ReDIF-Article 1.0 Author-Name: Yang Xu Author-X-Name-First: Yang Author-X-Name-Last: Xu Author-Name: Yuan Yuan Author-X-Name-First: Yuan Author-X-Name-Last: Yuan Author-Name: Hongjiu Yang Author-X-Name-First: Hongjiu Author-X-Name-Last: Yang Author-Name: Dalin Zhou Author-X-Name-First: Dalin Author-X-Name-Last: Zhou Title: The safety region-based model predictive control for discrete-time systems under deception attacks Abstract: In this paper, a resilient control problem is investigated for the discrete-time linear system subjected to both input constraint and additive disturbances. In addition, deception attacks are also taken into consideration which could compromise the communication channels. To deal with the mentioned complexities, the so-called safety region-based defense strategy (SRDS) is designed in the context of the robust model predictive control (RMPC) method. The original constraints of the system are used to establish the safety region. Sufficient conditions are established for the proposed SRDS such that the recursive feasibility and stability of the overall closed-system are guaranteed. Finally, two numerical examples are conducted to verify the effectiveness of the proposed methodology. Journal: International Journal of Systems Science Pages: 2144-2160 Issue: 10 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2021.1879965 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1879965 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:10:p:2144-2160 Template-Type: ReDIF-Article 1.0 Author-Name: Zengyun Wang Author-X-Name-First: Zengyun Author-X-Name-Last: Wang Author-Name: Jinde Cao Author-X-Name-First: Jinde Author-X-Name-Last: Cao Author-Name: Zuowei Cai Author-X-Name-First: Zuowei Author-X-Name-Last: Cai Author-Name: Changfeng Xue Author-X-Name-First: Changfeng Author-X-Name-Last: Xue Title: A novel fixed-time stability of nonlinear impulsive systems: a two-stage comparison principle method Abstract: In this article, we elaborated on the problem of fixed time stability (FxTS) of nonlinear impulsive systems. For handing this problem, we propose a new concept of fixed-time stable function set (FTSFS). By taking advantage of definitions of FTSFS and average impulsive interval, a unified FxTS criterion of nonlinear impulsive systems is presented, which is applicable to both destabilising impulses and stabilising impulses. Comparing with the available work, the proposed Lyapunov function is allowed to possess indefinite derivatives when deriving from the state trajectory of nonlinear impulsive systems. Finally, two numerical examples are provided to support the proposed criterion. Journal: International Journal of Systems Science Pages: 2114-2128 Issue: 10 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2021.1879307 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1879307 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:10:p:2114-2128 Template-Type: ReDIF-Article 1.0 Author-Name: Kamran Mohajeri Author-X-Name-First: Kamran Author-X-Name-Last: Mohajeri Author-Name: Ali Madadi Author-X-Name-First: Ali Author-X-Name-Last: Madadi Author-Name: Babak Tavassoli Author-X-Name-First: Babak Author-X-Name-Last: Tavassoli Title: Tracking control with aperiodic sampling over networks with delay and dropout Abstract: This paper introduces a discrete-time technique for output feedback tracking control with aperiodic sampling over networks suffering delay and dropout. Introducing the concept of pseudo sampling, NCS is modelled as a linear parameter varying (LPV) system. Two methods are explained to obtain a convex approximation of the uncertainty region. It is clarified how to perform the approximation to have the uncertainty space as small as possible. Using this uncertainty space, a polytopic approximation is obtained for the LPV model. The approximated model is used to synthesise a controller for set-point tracking and disturbance rejection. An observer is also synthesised based on this model. The simplicity of the model together with a small uncertainty space, results in less conservative LMI conditions. Compared to the existing results, an improved tracking performance is obtained. The final value theorem for discrete-time LTI systems with constant sampling period is extended to time varying sampling periods. This theorem is used to design a feedforward gain for zero steady-state tracking of staircase reference signals. Journal: International Journal of Systems Science Pages: 1987-2002 Issue: 10 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2021.1874074 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1874074 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:10:p:1987-2002 Template-Type: ReDIF-Article 1.0 Author-Name: Zhen-Zhong Qi Author-X-Name-First: Zhen-Zhong Author-X-Name-Last: Qi Author-Name: Yao-Lin Jiang Author-X-Name-First: Yao-Lin Author-X-Name-Last: Jiang Author-Name: Zhi-Hua Xiao Author-X-Name-First: Zhi-Hua Author-X-Name-Last: Xiao Title: Dimension reduction for k-power bilinear systems using orthogonal polynomials and Arnoldi algorithm Abstract: In this paper, a dimension reduction method via general orthogonal polynomials and multiorder Arnoldi algorithm is proposed, which focuses on the topic of structure-preserving for k-power bilinear systems. The main procedure is using a series of expansion coefficient vectors of each state variables in the space spanned by general orthogonal polynomials that satisfy a recurrence formula to generate a projection based on multiorder Arnoldi algorithm. The resulting reduced-order model not only matches a desired number of expansion coefficients of the original output but also retains the topology structure. Meanwhile, the stability is well preserved under some certain conditions and the error bound is also given. Finally, two numerical simulations are provided to illustrate the effectiveness of our proposed algorithm in the views of accuracy and computational cost. Journal: International Journal of Systems Science Pages: 2048-2063 Issue: 10 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2021.1876276 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1876276 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:10:p:2048-2063 Template-Type: ReDIF-Article 1.0 Author-Name: Yang-Yang Wang Author-X-Name-First: Yang-Yang Author-X-Name-Last: Wang Author-Name: Bing Sun Author-X-Name-First: Bing Author-X-Name-Last: Sun Title: Optimal control of vibrations of two nonlinear Gao beams connected with a joint Abstract: This paper is concerned with optimal control of vibrations of two uniform elastic or viscoelastic nonlinear Gao beams that are connected with a joint. The dynamic contact is modelled with the Signorini non-penetration or unilateral conditions in which the stops are assumed to be perfectly rigid. By the Dubovitskii and Milyutin functional analytical approach, we derive the Pontryagin maximum principle for the optimal control problem with multiple equality and multiple inequality constraints in fixed final horizon case. A remark is made on how to use the obtained results in the case of a quadratic cost functional. Journal: International Journal of Systems Science Pages: 2064-2081 Issue: 10 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2021.1876277 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1876277 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:10:p:2064-2081 Template-Type: ReDIF-Article 1.0 Author-Name: Min-Sung Koo Author-X-Name-First: Min-Sung Author-X-Name-Last: Koo Author-Name: Ho-Lim Choi Author-X-Name-First: Ho-Lim Author-X-Name-Last: Choi Title: State feedback regulation of high-order feedforward nonlinear systems with delays in the state and input under measurement sensitivity Abstract: In this paper, we consider a state feedback regulation problem for a class of high-order feedforward nonlinear systems in which there are delays in the state and input. Then, the feedback information is distorted such that the actually engaged controller is supposed to operate under measurement sensitivity. Both measurement sensitivity and delays are uncertain and time-varying. We propose a dynamic controller and analytically show that the controlled system is globally regulated in the presence of large and arbitrarily fast-varying measurement sensitivity and delays. The simulation results of the numerical and practical examples are presented to demonstrate the validity of our control method. Journal: International Journal of Systems Science Pages: 2034-2047 Issue: 10 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2021.1876275 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1876275 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:10:p:2034-2047 Template-Type: ReDIF-Article 1.0 Author-Name: H. Damak Author-X-Name-First: H. Author-X-Name-Last: Damak Title: Input-to-state stability and integral input-to-state stability of non-autonomous infinite-dimensional systems Abstract: In this paper, we provide Lyapunov-based tools to establish input-to-state stability (ISS) and integral input-to-state stability (iISS) for non-autonomous infinite-dimensional systems. We prove that for a class of admissible inputs the existence of an ISS Lyapunov function implies the ISS of a system in Banach spaces. Furthermore, it is shown that uniform global asymptotic stability is equivalent to their integral input-to-state stability for non-autonomous generalised bilinear systems over Banach spaces. The Lyapunov method is provided to be very useful for both linear and nonlinear tools including partial differential equations (PDEs). In addition, we present a method for construction of iISS Lyapunov function in Hilbert spaces. Finally, two examples are given to verify the effectiveness of the proposed scheme. Journal: International Journal of Systems Science Pages: 2100-2113 Issue: 10 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2021.1879306 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1879306 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:10:p:2100-2113 Template-Type: ReDIF-Article 1.0 Author-Name: Ali Asghar Sheydaeian Arani Author-X-Name-First: Ali Asghar Author-X-Name-Last: Sheydaeian Arani Author-Name: Mahdi Aliyari Shoorehdeli Author-X-Name-First: Mahdi Author-X-Name-Last: Aliyari Shoorehdeli Author-Name: Ali Moarefianpour Author-X-Name-First: Ali Author-X-Name-Last: Moarefianpour Author-Name: Mohammad Teshnehlab Author-X-Name-First: Mohammad Author-X-Name-Last: Teshnehlab Title: Fault estimation based on ensemble unscented Kalman filter for a class of nonlinear systems with multiplicative fault Abstract: In this paper, a method for fault estimation with a multiplicative model in a nonlinear system by the unscented Kalman filter is introduced. The faults appear in the form of component, sensor, and actuator in the system equations. By using the augmented method, a fault signal will be as state variable of the system, the system dynamic equations are rewritten to represent a fault as a state variable. The existence of nonlinear equations in the presence of system noises results in an identical non-Gaussian noise, which leads to the difficulty in solving the problem of fault estimation with the unscented Kalman filter. Therefore, a filter combining a Gaussian mixture model (GMM) and the augmented ensemble unscented Kalman filter (AEnUKF) is designed to estimate the fault in this class of nonlinear systems. Suitable conditions and assumptions are appointed to guarantee the convergence of the estimation error. Next, the performance of the proposed method is evaluated by simulating a bioreactor system. The results of the simulation for the multiplicative fault estimation demonstrated performance by the AEnUKF-GMM algorithm better than the AUKF in the presence of non-Gaussian noise. Journal: International Journal of Systems Science Pages: 2082-2099 Issue: 10 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2021.1876959 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1876959 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:10:p:2082-2099 Template-Type: ReDIF-Article 1.0 Author-Name: Dong Zhao Author-X-Name-First: Dong Author-X-Name-Last: Zhao Author-Name: Bin Jiang Author-X-Name-First: Bin Author-X-Name-Last: Jiang Author-Name: Hao Yang Author-X-Name-First: Hao Author-X-Name-Last: Yang Author-Name: Gang Tao Author-X-Name-First: Gang Author-X-Name-Last: Tao Title: Control separation based fault accommodation for flexible hypersonic vehicles Abstract: This paper addresses a fault accommodation issue for flexible hypersonic vehicles by the static output feedback. Firstly, a longitudinal dynamics for hypersonic vehicles is established in the ODE-beam cascade form and the distributed fault model is built. Next, a novel fault accommodation scheme is developed to achieve fault accommodation and vibration suppression. Such a control strategy is based on the control separation formulation: one component is for accommodating the distributed fault, another one is for the closed-loop stability. The input-to-state stability of the closed-loop system is analysed by using the direct Lyapunov method and bilinear matrix inequalities technique. Then, a new algorithm is provided to obtain the control gain matrices of the fault-tolerant control law. Finally, the simulation results are given to illustrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 2020-2033 Issue: 10 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2021.1876274 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1876274 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:10:p:2020-2033 Template-Type: ReDIF-Article 1.0 Author-Name: Lisai Gao Author-X-Name-First: Lisai Author-X-Name-Last: Gao Author-Name: Fuqiang Li Author-X-Name-First: Fuqiang Author-X-Name-Last: Li Author-Name: Jingqi Fu Author-X-Name-First: Jingqi Author-X-Name-Last: Fu Title: Output-based decentralised event-triggered dissipative control of NCSs under aperiodic DoS attacks Abstract: This paper studies output-based decentralised event-triggered dissipative control of NCSs under aperiodic DoS attacks. Firstly, to save constrained system resources such as network bandwidth, using information on aperiodic DoS attacks, an output-based decentralised resilient event-triggered mechanism (ETM) is introduced. Secondly, a switched system model is built, which characterises effects of aperiodic DoS attacks, decentralised resilient ETM and disturbances in a unified framework. Thirdly, sufficient conditions are derived such that the system is exponentially stable and strictly $ (\mathcal {G} $ (G, $ \mathcal {H} $ H, $ \mathcal {I}) $ I)-dissipative, which establish quantitative relationships among aperiodic DoS attacks, decentralised resilient ETM, disturbances and system performance. Further, co-design conditions are presented to compute parameters of switched dynamic output feedback controller and decentralised resilient ETM simultaneously. Finally, examples illustrate effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2003-2019 Issue: 10 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2021.1874075 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1874075 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:10:p:2003-2019 Template-Type: ReDIF-Article 1.0 Author-Name: Guangren Duan Author-X-Name-First: Guangren Author-X-Name-Last: Duan Title: High-order fully actuated system approaches: Part V. Robust adaptive control Abstract: A type of high-order fully actuated (HOFA) systems with both nonlinear uncertainties and time-varying unknown parameters is considered, and a direct approach for the designs of robust adaptive stabilising controllers and robust adaptive tracking controllers is proposed based on the Lyapunov stability theory. The established controller is composed of three parts, the basic part cancels the known nonlinearities in the system and simultaneously assigns the linear dominant term in the closed-loop system, the robustness part overcomes the effects of the nonlinear uncertainties in the system, and the adaptation part adjusts online the controller to suit the effect of the unknown time-varying parameter vector. The proposed controller guarantees that the tracking error of the state to a given signal and the estimation error of the parameter vector finally converge globally into a bounded ellipsoid. Particularly, in the case that the unknown parameter vector is constant, an adaptive scheme that enables global asymptotical tracking is presented. An example demonstrates the effect of the proposed approach. Journal: International Journal of Systems Science Pages: 2129-2143 Issue: 10 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2021.1879964 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1879964 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:10:p:2129-2143 Template-Type: ReDIF-Article 1.0 Author-Name: Lanjie Guo Author-X-Name-First: Lanjie Author-X-Name-Last: Guo Author-Name: Hao Wang Author-X-Name-First: Hao Author-X-Name-Last: Wang Author-Name: Zhe Lin Author-X-Name-First: Zhe Author-X-Name-Last: Lin Title: Recursive least-squares algorithm for a characteristic model with coloured noise by means of the data filtering technique Abstract: This work investigates the identification problems for a characteristic model with autoregressive moving average noise, and the sum of all coefficients of the model is equal to one. A recursive least-squares (RLS) algorithm using the data filtering technique is derived for the model. The basic idea is to use a linear filter to filter the input–output data, to decompose a characteristic model into a system model and a noise model, but the sum of all coefficients remains equalling to one. Moreover, the traditional RLS algorithm is also presented and compared with the proposed algorithm in terms of computational complexity and effectiveness. Finally, three numerical examples show that the proposed algorithm outperforms the conventional RLS algorithm. Journal: International Journal of Systems Science Pages: 2397-2413 Issue: 11 Volume: 52 Year: 2021 Month: 08 X-DOI: 10.1080/00207721.2021.1889707 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1889707 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:11:p:2397-2413 Template-Type: ReDIF-Article 1.0 Author-Name: Jung-Su Ha Author-X-Name-First: Jung-Su Author-X-Name-Last: Ha Author-Name: Hyeok-Joo Chae Author-X-Name-First: Hyeok-Joo Author-X-Name-Last: Chae Author-Name: Han-Lim Choi Author-X-Name-First: Han-Lim Author-X-Name-Last: Choi Title: A diffusion wavelets-based multiscale framework for inverse optimal control of stochastic systems Abstract: This work presents a multiscale framework to solve a class of inverse optimal control (IOC) problems in the context of robot motion planning and control in a complex environment. In order to handle complications resulting from a large decision space and complex environmental geometry, two key concepts are adopted: (a) a diffusion wavelet representation of the Markov chain for hierarchical abstraction of the state space; and (b) a desirability function-based representation of the Markov decision process (MDP) to efficiently calculate the optimal policy. An IOC problem constructed on a ‘abstract state’ is solved, which is much more tractable than using the original bases set; moreover, the solution can be obtained recursively in the ‘coarse to fine’ direction by utilizing the hierarchical structure of basis functions. The resulting multiscale plan is utilized to finally compute a continuous-time optimal control policy within a receding horizon implementation. Illustrative numerical experiments on a robot path control in a complex environment and on a quadrotor ball-catching task are presented to verify the proposed method. Journal: International Journal of Systems Science Pages: 2228-2240 Issue: 11 Volume: 52 Year: 2021 Month: 08 X-DOI: 10.1080/00207721.2021.1882011 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1882011 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:11:p:2228-2240 Template-Type: ReDIF-Article 1.0 Author-Name: Yunfeng Kang Author-X-Name-First: Yunfeng Author-X-Name-Last: Kang Author-Name: Lina Yao Author-X-Name-First: Lina Author-X-Name-Last: Yao Title: Fault diagnosis and fault-tolerant control for T-S fuzzy time-varying delay stochastic distribution systems with actuator and sensor faults Abstract: The problem of fault diagnosis (FD) and fault-tolerant control (FTC) for a class of nonlinear time-varying delay stochastic distribution control (SDC) systems with actuator and sensor faults is investigated in this paper. The Takagi–Sugeno (T-S) model is used to approximate the nonlinear dynamics. The B-spline function is used to approximate the output probability density function (PDF) of the system. According to the output equivalence principle and Laplace transformation, an augmented state vector is designed to solve the time-varying delay problem. An augmented state adaptive diagnosis observer is proposed to estimate the system state, actuator and sensor faults simultaneously. A new fault-tolerant control algorithm is designed based on the PI control strategy to compensate sensor fault and actuator faults simultaneously. The sensor fault is compensated through the information obtained by the observer. The PI controller can compensate for the influence of the actuator fault, and the output PDF of system can still track the desired PDF when fault occurs. Simulation results are provided to show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2217-2227 Issue: 11 Volume: 52 Year: 2021 Month: 08 X-DOI: 10.1080/00207721.2021.1880666 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1880666 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:11:p:2217-2227 Template-Type: ReDIF-Article 1.0 Author-Name: Ke Xu Author-X-Name-First: Ke Author-X-Name-Last: Xu Author-Name: Huanqing Wang Author-X-Name-First: Huanqing Author-X-Name-Last: Wang Author-Name: Qiang Zhang Author-X-Name-First: Qiang Author-X-Name-Last: Zhang Author-Name: Ming Chen Author-X-Name-First: Ming Author-X-Name-Last: Chen Author-Name: Junfei Qiao Author-X-Name-First: Junfei Author-X-Name-Last: Qiao Author-Name: Ben Niu Author-X-Name-First: Ben Author-X-Name-Last: Niu Title: Command-filter-based adaptive neural tracking control for strict-feedback stochastic nonlinear systems with input dead-zone Abstract: The problem of command-filter-based adaptive tracking control is investigated for a class of stochastic nonlinear systems with strict-feedback structure with input dead-zone in this paper. Radial basis function neural network (RBF NN) is employed to approximate the packaged unknown nonlinearities. In order to eliminate the influence of ‘the explosion of complexity’ which will exist in the conventional controller design process via backstepping technique, the control method of the command-filter is introduced. For the problem of input dead-zone which appears in the stochastic nonlinear systems, which will be dealt by a reasonable method, namely, the dead-zone nonlinearity can be regarded as a combination for a linear term and bounded disturbance-like term. Combined adaptive backstepping design algorithm and Lyapunov stability theorem, an adaptive neural command-filter controller is developed. The proposed control scheme reduces the calculation burden due to the repeated differentiation for the virtual control laws and guarantees all the closed-loop signals remain semi-globally uniformly ultimately bounded (SGUUB) in the sense of the four moment. And the tracking error converges to a small area near zero. Meanwhile, the effectiveness of the presented approach is proved by simulation results. Journal: International Journal of Systems Science Pages: 2283-2297 Issue: 11 Volume: 52 Year: 2021 Month: 08 X-DOI: 10.1080/00207721.2021.1882614 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1882614 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:11:p:2283-2297 Template-Type: ReDIF-Article 1.0 Author-Name: H. Taghavian Author-X-Name-First: H. Author-X-Name-Last: Taghavian Title: A systematic approach towards robust stability analysis of integral delay systems with general interval kernels Abstract: Robust stability problem of integral delay systems with uncertain kernel matrix functions is addressed in this paper. On the basis of the characteristic equation and the argument principle, an algorithm is generated, which is shown to outperform the Lyapunov-Krasovskii (LK) approaches with respect to conservatism in the presented examples. Despite the conventional manual use of the Nyquist criterion, the proposed algorithm is fully algebraic, cheaper and easily implemented in computer programs. The kernel matrix function in this method is not limited to the exponential type and can include any bounded real function as its elements. Journal: International Journal of Systems Science Pages: 2298-2310 Issue: 11 Volume: 52 Year: 2021 Month: 08 X-DOI: 10.1080/00207721.2021.1883146 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1883146 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:11:p:2298-2310 Template-Type: ReDIF-Article 1.0 Author-Name: Shuhui Li Author-X-Name-First: Shuhui Author-X-Name-Last: Li Author-Name: Xiaoxue Feng Author-X-Name-First: Xiaoxue Author-X-Name-Last: Feng Author-Name: Zhihong Deng Author-X-Name-First: Zhihong Author-X-Name-Last: Deng Author-Name: Feng Pan Author-X-Name-First: Feng Author-X-Name-Last: Pan Title: Tobit Kalman filter with channel fading and dead-zone-like censoring Abstract: In complex control systems, the channel fading and the measurement censoring are often unavoidable due to sudden environmental changes, intermittent transmission congestions, random failures and repairs of components. To this end, the Tobit Kalman filtering problem for discrete-time systems with the dead-zone-like censoring and channel fading is studied where the censoring and fading phenomena are, respectively, described by the Tobit measurement model and the $ L_{th} $ Lth-order Rice fading channel model. The design of the filter is carried out in two stages: (1) the state augmentation technique is firstly adopted to remove the time-delay effect caused by the fading channel; and (2) the statistical information of censored measurements is used to determine the optimal filter structure in the minimum mean-square error sense, where the orthogonal projection principle is utilised to avoid the deep correlations among the multiple random variables induced by measurement censoring and channel fading. Besides, the desired filter is also devised based on the approach of the conditional expectation. For the convenience of calculation, the filter with the dead-zone-like censoring is converted into an equivalent one with one-side censoring. Finally, a numerical example of estimating the ballistic ball rates is given to verify the effectiveness of the proposed filters. Journal: International Journal of Systems Science Pages: 2183-2200 Issue: 11 Volume: 52 Year: 2021 Month: 08 X-DOI: 10.1080/00207721.2020.1859160 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1859160 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:11:p:2183-2200 Template-Type: ReDIF-Article 1.0 Author-Name: Zhen Li Author-X-Name-First: Zhen Author-X-Name-Last: Li Author-Name: Yao-Lin Jiang Author-X-Name-First: Yao-Lin Author-X-Name-Last: Jiang Author-Name: Hong-liang Mu Author-X-Name-First: Hong-liang Author-X-Name-Last: Mu Title: Parametric model order reduction based on parallel tensor compression Abstract: In this paper, we for the first time explore the model order reduction (MOR) of parametric systems based on the tensor techniques and a parallel tensor compression algorithm. For the parametric system characterising multidimensional parameter space and nonlinear parametric dependence, we first approximate the system matrices by tensor functions of the parameters, whose first-order coefficients are third-order tensors. In order to effectively reduce the computational cost and the storage burden, we propose a parallel tensor compression algorithm based on Tensor-SVD to deal with the tensors in the tensor functions. Then, we obtain the low-rank approximation in Kruskal form of third-order tensors. After that, by computing the first several expansion coefficients of the state variable with the selected parameter vectors, the projection matrix is constructed to obtain the reduced parametric system. Theoretical analysis shows that the reduced parametric system can match the first several expansion coefficients of the output variable of the original system at the selected parameter vectors. Moreover, the stability of the proposed MOR method is discussed. Finally, the efficiency of the proposed method is illustrated by two numerical examples. Journal: International Journal of Systems Science Pages: 2201-2216 Issue: 11 Volume: 52 Year: 2021 Month: 08 X-DOI: 10.1080/00207721.2021.1880665 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1880665 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:11:p:2201-2216 Template-Type: ReDIF-Article 1.0 Author-Name: Xiuwei Yin Author-X-Name-First: Xiuwei Author-X-Name-Last: Yin Author-Name: Wentao Xu Author-X-Name-First: Wentao Author-X-Name-Last: Xu Author-Name: Guangjun Shen Author-X-Name-First: Guangjun Author-X-Name-Last: Shen Title: Stability of stochastic differential equations driven by the time-changed Lévy process with impulsive effects Abstract: The stability of nonlinear stochastic differential equations driven by time-changed Lévy process with impulsive effects is discussed in this paper. Some sufficient conditions are provided to guarantee the solutions to be stable in different senses. The stochastic perturbation is also investigated for some unstable time-changed differential equations with impulses. The efficiency of the proposed results is illustrated by some examples with numerical simulations. Journal: International Journal of Systems Science Pages: 2338-2357 Issue: 11 Volume: 52 Year: 2021 Month: 08 X-DOI: 10.1080/00207721.2021.1885763 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1885763 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:11:p:2338-2357 Template-Type: ReDIF-Article 1.0 Author-Name: Mohamadreza Homayounzade Author-X-Name-First: Mohamadreza Author-X-Name-Last: Homayounzade Title: Adaptive robust output-feedback boundary control of an unstable parabolic PDE subjected to unknown input disturbance Abstract: In this paper, an adaptive robust boundary controller is designed for an unstable heat equation with external disturbance flowing into the control end. The disturbance and uncertainty effect is cancelled out in the closed-loop system by using on-line approximation of disturbance upper-bound provided as an output of adaptive robust update law. The asymptotic stability of the controlled system in the presence of unknown disturbance and/or parametric uncertainties is proved utilising the Lyapunov theorem. Unlike previous researches, the control implementation does not require prior knowledge of unknown disturbance. Moreover, the controller does not require measuring the system states or estimating the system states by an observer. The adaptive robust controller can be regarded as a combination of the best qualities of the adaptive controller and the robust controller with no prior knowledge of system uncertainty, and asymptotic tracking error performance. Numerical simulations and comparisons are provided to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2324-2337 Issue: 11 Volume: 52 Year: 2021 Month: 08 X-DOI: 10.1080/00207721.2021.1884316 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1884316 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:11:p:2324-2337 Template-Type: ReDIF-Article 1.0 Author-Name: Qian Wu Author-X-Name-First: Qian Author-X-Name-Last: Wu Author-Name: Qiankun Song Author-X-Name-First: Qiankun Author-X-Name-Last: Song Author-Name: Zhenjiang Zhao Author-X-Name-First: Zhenjiang Author-X-Name-Last: Zhao Author-Name: Yurong Liu Author-X-Name-First: Yurong Author-X-Name-Last: Liu Author-Name: Fuad E. Alsaadi Author-X-Name-First: Fuad E. Author-X-Name-Last: Alsaadi Title: Stabilization of T-S fuzzy fractional rectangular descriptor time-delay system Abstract: This paper focuses on the stabilization of the T-S fuzzy fractional rectangular descriptor time-delay system. To convert the fuzzy rectangular time-delay system into the fuzzy square time-delay system, a suitable dynamic compensator of proportional and derivative type is constructed, and the admissibility of the resultant square closed-loop system is enough to guarantee the stabilization of the nonlinear rectangular descriptor time-delay system. A sufficient condition is derived to ensure the stabilization for the considered system and the dynamic compensator parameters can be computed by solving the corresponding linear matrix inequalities (LMIs). A numerical example is provided to manifest the theoretical result. Journal: International Journal of Systems Science Pages: 2268-2282 Issue: 11 Volume: 52 Year: 2021 Month: 08 X-DOI: 10.1080/00207721.2021.1882613 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1882613 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:11:p:2268-2282 Template-Type: ReDIF-Article 1.0 Author-Name: Yujing Xu Author-X-Name-First: Yujing Author-X-Name-Last: Xu Author-Name: Chaoli Wang Author-X-Name-First: Chaoli Author-X-Name-Last: Wang Author-Name: Weigang Yan Author-X-Name-First: Weigang Author-X-Name-Last: Yan Author-Name: Mingfeng Lin Author-X-Name-First: Mingfeng Author-X-Name-Last: Lin Author-Name: Jianguo Tao Author-X-Name-First: Jianguo Author-X-Name-Last: Tao Title: Connectivity-preserving-based distributed adaptive asymptotically synchronised tracking of networked uncertain nonholonomic mobile robots with actuator failures and unknown control directions Abstract: This brief addresses a distributed adaptive asymptotically synchronous tracking problem based on guaranteed connectivity for networked uncertain nonholonomic mobile robots (NMRs) with actuator failures and unknown control directions. First, a radial basis function (RBF) neural network is used to approximate the unknown nonlinear functions, and a distributed nonlinear error surface is introduced to achieve synchronous tracking between NMRs and maintain the initial connectivity patterns. Then, a conditional inequality that allows multiple piecewise Nussbaum functions to achieve robust control is proposed to solve the problem of unknown actuator failures and unknown control directions. Moreover, the proposed protocol ensures that all signals in the closed-loop system are globally bounded and the tracking errors converge asymptotically to zero. Finally, a simulation example verifies the effectiveness of the proposed adaptive laws. Journal: International Journal of Systems Science Pages: 2358-2374 Issue: 11 Volume: 52 Year: 2021 Month: 08 X-DOI: 10.1080/00207721.2021.1888165 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1888165 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:11:p:2358-2374 Template-Type: ReDIF-Article 1.0 Author-Name: Shiqi Gao Author-X-Name-First: Shiqi Author-X-Name-Last: Gao Author-Name: Yuanyuan Zhang Author-X-Name-First: Yuanyuan Author-X-Name-Last: Zhang Author-Name: Jinkun Liu Author-X-Name-First: Jinkun Author-X-Name-Last: Liu Title: Output constraints vibration control for a flexible aircraft wing with prescribed performance Abstract: This study focuses on the vibration control and boundary output constraint problems for a flexible wing system. The coupled twist-bending dynamic model of the flexible wing contains several partial differential equations (PDEs) and ordinary differential equations (ODEs). With the help of prescribed performance functions, an innovative boundary controller is designed to achieve the vibration suppression without the violation of prescribed performance. The proposed controller can make the boundary deformations converge to an arbitrarily small residual set. In addition, a disturbance observer is proposed to eliminate the adverse effect caused by unknown external disturbances. Then the asymptotic stability of the closed-loop system is justified by the Lyapunov’s direct method. Finally, numerical simulations are carried out to demonstrate the effectiveness of the proposed control scheme. Journal: International Journal of Systems Science Pages: 2241-2254 Issue: 11 Volume: 52 Year: 2021 Month: 08 X-DOI: 10.1080/00207721.2021.1882611 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1882611 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:11:p:2241-2254 Template-Type: ReDIF-Article 1.0 Author-Name: Bo Wang Author-X-Name-First: Bo Author-X-Name-Last: Wang Author-Name: Yu-Ping Tian Author-X-Name-First: Yu-Ping Author-X-Name-Last: Tian Title: Consensus of discrete-time multi-agent systems with multiplicative uncertainties and delays Abstract: This paper studies the consensus problem of discrete-time single-integrator multi-agent systems with multiplicative uncertainties and bounded communication delays in switching networks. Some sufficient conditions for non-stochastic consensus are obtained by adopting the constant-gain protocol. For the case that the uncertainty is exponentially decaying (i.e. is $ O(\gamma ^k) $ O(γk) with $ \gamma \in (0,1) $ γ∈(0,1)), it is proved for any bounded delays, the consensus can be achieved if the switching topology is uniformly rooted. For the case that the uncertainty is polynomially decaying (i.e. is $ O( {\frac {1}{(1+k)^\mu }} ) $ O(1(1+k)μ) with $ \mu \gt 0 $ μ>0), under a precondition that the system state is bounded, a similar conclusion is also obtained. The convergence rate of the consensus protocol is quantified in terms of the decay rate of uncertainties. Simulation results are given to verify the correctness of the conclusion. Journal: International Journal of Systems Science Pages: 2311-2323 Issue: 11 Volume: 52 Year: 2021 Month: 08 X-DOI: 10.1080/00207721.2021.1883766 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1883766 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:11:p:2311-2323 Template-Type: ReDIF-Article 1.0 Author-Name: Xuxi Zhang Author-X-Name-First: Xuxi Author-X-Name-Last: Zhang Author-Name: Xia Wang Author-X-Name-First: Xia Author-X-Name-Last: Wang Title: Bipartite consensus of multi-agent systems with reduced-order observer-based distributed control protocols Abstract: This paper considers the bipartite consensus problem for multi-agent systems, in which both bipartite leaderless consensus and bipartite tracking problems are investigated under signed digraph. Two distributed output feedback control laws are proposed based on reduced-order observer design, respectively, for solving the bipartite leaderless consensus and bipartite tracking consensus problems. Some sufficient conditions are obtained for achieving the bipartite consensus of the multi-agent systems, by using the algebraic Riccati equation design and Jordan decomposition technique. Finally, two simulation examples are presented to illustrate the effectiveness of the obtained theoretical results. Journal: International Journal of Systems Science Pages: 2255-2267 Issue: 11 Volume: 52 Year: 2021 Month: 08 X-DOI: 10.1080/00207721.2021.1882612 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1882612 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:11:p:2255-2267 Template-Type: ReDIF-Article 1.0 Author-Name: Vyoma Singh Author-X-Name-First: Vyoma Author-X-Name-Last: Singh Author-Name: Birupaksha Pal Author-X-Name-First: Birupaksha Author-X-Name-Last: Pal Author-Name: Tushar Jain Author-X-Name-First: Tushar Author-X-Name-Last: Jain Title: Integrated methodology for state and parameter estimation of spark-ignition engines Abstract: To develop an effective control and monitoring scheme for automotive engines, a precise knowledge of the parameters and unmeasurable states of the nonlinear model capturing the overall dynamics of engines is of utmost importance. For a new vehicle out of the assembly line, the nonlinear model has constant parameters. However, in the long run, due to regular wear-and-tear, and for other unpredictable disturbances, they may change. The main challenges are how to obtain the information of parameters and states under the influence of process noise and measurement noise. To address these challenges, we present a new integrated state and parameter estimation algorithm in this paper for spark ignition (SI) engines based on the constrained unscented Kalman filter and the improved recursive least square technique. The system under consideration is a highly nonlinear mean value SI engine model consisting of the throttle, intake manifold, engine speed dynamics, and fuel system. The performance of the proposed algorithm in terms of root-mean-square-error and robustness with regards to initial conditions and random noises is analysed through exhaustive simulation scenarios considering constant, and time-varying parameters. In addition, the performance of other state-of-the-art estimation algorithms is also compared with that of the developed integrated algorithm. Journal: International Journal of Systems Science Pages: 2375-2396 Issue: 11 Volume: 52 Year: 2021 Month: 08 X-DOI: 10.1080/00207721.2021.1888166 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1888166 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:11:p:2375-2396 Template-Type: ReDIF-Article 1.0 Author-Name: Xueyan Xing Author-X-Name-First: Xueyan Author-X-Name-Last: Xing Author-Name: Jinkun Liu Author-X-Name-First: Jinkun Author-X-Name-Last: Liu Title: Modelling and neural adaptive vibration control for three-dimensional Timoshenko beam with output restrictions and external disturbances Abstract: In this paper, the dynamic modelling and adaptive boundary control of a three-dimensional Timoshenko beam are presented for vibration suppression. In order to ensure that no modal information is left out, partial differential equations (PDEs) are employed to describe the nonlinear dynamic characteristics of the system by applying the extended Hamilton’s principle. Based on the established model, barrier Lyapunov functions (BLFs) are utilised for dealing with system output restrictions. For practical consideration, parameter uncertainties and external disturbances are also taken into account. Under the proposed neural adaptive control scheme, undesirable elastic vibration of the three-dimensional Timoshenko beam is restricted and constrained within given bounds even subject to external perturbations, without needing to know any system parameters. The system stability is proved by the Lyapunov’s direct method. The control performance is verified via using numerical simulations. Journal: International Journal of Systems Science Pages: 1850-1867 Issue: 9 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2021.1871676 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1871676 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:9:p:1850-1867 Template-Type: ReDIF-Article 1.0 Author-Name: Yi Chang Author-X-Name-First: Yi Author-X-Name-Last: Chang Author-Name: Peng Zhou Author-X-Name-First: Peng Author-X-Name-Last: Zhou Author-Name: Ben Niu Author-X-Name-First: Ben Author-X-Name-Last: Niu Author-Name: Huanqing Wang Author-X-Name-First: Huanqing Author-X-Name-Last: Wang Author-Name: Ning Xu Author-X-Name-First: Ning Author-X-Name-Last: Xu Author-Name: M. O. Alassafi Author-X-Name-First: M. O. Author-X-Name-Last: Alassafi Author-Name: A. M. Ahmad Author-X-Name-First: A. M. Author-X-Name-Last: Ahmad Title: Switched-observer-based adaptive output-feedback control design with unknown gain for pure-feedback switched nonlinear systems via average dwell time Abstract: This paper studies the problem of adaptive fuzzy tracking control for a class of pure-feedback switched nonlinear systems with unknown gain. First, the studied system is handled by using the mean value theorem, the initial pure-feedback nonlinear systems become affine nonlinear systems. Then, the unknown signal is handled through a linear transformation, the Nussbaum-type functions are used to design an effective controller for the processed system. To avoid the issue of ‘explosion of complexity’ caused by mean value theorem and backstepping procedure, a first-order sliding-mode differentiator is employed to simplify the calculation. Combined with the average dwell time (ADT) method, a set of switching signals are given to sure the stability of the system. The Lyapunov theorem is used to verify that all signals are semiglobal uniformly ultimately boundness (SGUUB), and the errors can be regulated arbitrarily small. Finally, simulation results show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1731-1745 Issue: 9 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2020.1863503 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1863503 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:9:p:1731-1745 Template-Type: ReDIF-Article 1.0 Author-Name: Xinyu Fu Author-X-Name-First: Xinyu Author-X-Name-Last: Fu Author-Name: Song Liu Author-X-Name-First: Song Author-X-Name-Last: Liu Author-Name: Xiaoyan Li Author-X-Name-First: Xiaoyan Author-X-Name-Last: Li Title: Containment control for delayed fractional multiple agent systems in Riemann–Liouville sense Abstract: This paper analyses containment control (CC) of Riemann–Liouville fractional multiple agent systems with time delays. A reliable and simple method is addressed to deal with CC, some simple sufficient conditions are proposed by utilising traditional Lyapunov direct method, properties of fractional calculus and analytical technique. The main advantage of our method is that the first-order derivative of Lyapunov function can be taken to avoid complicated calculation, which may overcome well the difficulties arising from fractional derivatives and time delays. In the end, numerical examples are offered to further demonstrate the reliability of our conclusions. Journal: International Journal of Systems Science Pages: 1913-1924 Issue: 9 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2021.1872117 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1872117 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:9:p:1913-1924 Template-Type: ReDIF-Article 1.0 Author-Name: Pradosh Ranjan Sahoo Author-X-Name-First: Pradosh Ranjan Author-X-Name-Last: Sahoo Author-Name: Abhilash Patel Author-X-Name-First: Abhilash Author-X-Name-Last: Patel Author-Name: Sandip Ghosh Author-X-Name-First: Sandip Author-X-Name-Last: Ghosh Author-Name: Asim K. Naskar Author-X-Name-First: Asim K. Author-X-Name-Last: Naskar Title: Selection of overlapping interactions through approximate decentralised fixed mode measure Abstract: This work proposes selection of overlapping interactions for removing decentralised fixed modes through approximate decentralised fixed mode measure. Also, a framework for selection of overlapping interactions for systems with approximate decentralised fixed mode is given. Application of the proposed method is demonstrated through several numerical examples including problems form the wide-area loop selection in electrical power systems. Journal: International Journal of Systems Science Pages: 1882-1893 Issue: 9 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2021.1872115 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1872115 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:9:p:1882-1893 Template-Type: ReDIF-Article 1.0 Author-Name: Ling Xu Author-X-Name-First: Ling Author-X-Name-Last: Xu Author-Name: Feng Ding Author-X-Name-First: Feng Author-X-Name-Last: Ding Author-Name: Quanmin Zhu Author-X-Name-First: Quanmin Author-X-Name-Last: Zhu Title: Decomposition strategy-based hierarchical least mean square algorithm for control systems from the impulse responses Abstract: In this research, the issue of parameter estimation for control systems is considered to develop a highly efficient estimation approach for the purpose of satisfying the need of industrial process modelling. For dynamical production processes, an error objective function in accordance with the dynamically sampled data is constructed for on-line identification. In order to simulate the instantaneous response of dynamical processes, the experimental scheme of impulse responses is adopted, and the observational data of impulse responses are used as the identification experimental data. In order to acquire high accuracy and stable performance, a hierarchical least mean square method is designed by means of the decomposition technique and the hierarchical principle. Finally, the superiority of the hierarchical least mean square approach is verified by the comparison simulation experiment and the effectiveness of the hierarchical least mean square method is proved by the detailed numerical examples. Journal: International Journal of Systems Science Pages: 1806-1821 Issue: 9 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2020.1871107 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1871107 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:9:p:1806-1821 Template-Type: ReDIF-Article 1.0 Author-Name: Rui Yan Author-X-Name-First: Rui Author-X-Name-Last: Yan Author-Name: Zongying Shi Author-X-Name-First: Zongying Author-X-Name-Last: Shi Author-Name: Yisheng Zhong Author-X-Name-First: Yisheng Author-X-Name-Last: Zhong Title: Cooperative strategies for two-evader-one-pursuer reach-avoid differential games Abstract: A reach-avoid differential game with two evaders and one pursuer is considered in the plane which is divided into a play region and a goal region by a straight line. Two evaders, starting from the play region, aim at reaching the goal region protected by the faster pursuer who tries to capture the evaders. This game is analysed from kind and degree in analytical forms. The information structure involves that the evaders know which one is being pursued by the pursuer while the pursuer has access to the evaders' current control inputs. We are concerned with the barrier and winning regions, by which the number of evaders reaching the goal region before being captured can be determined. Cooperative strategies for two evaders are derived based on the goal priority between team goal and individual goal. An Apollonius circle based pursuit strategy is explicitly proposed. The δ-Apollonius circle is introduced to handle with the pursuit of the second-pursued evader. When two evaders are both possible to be captured, motivated by the cooperation between two prey animals against a predator, an aiding strategy is proposed such that one evader sacrifices itself to help the other's evasion. Numerical simulations are presented. Journal: International Journal of Systems Science Pages: 1894-1912 Issue: 9 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2021.1872116 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1872116 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:9:p:1894-1912 Template-Type: ReDIF-Article 1.0 Author-Name: Sadek Belamfedel Alaoui Author-X-Name-First: Sadek Author-X-Name-Last: Belamfedel Alaoui Author-Name: El Houssaine Tissir Author-X-Name-First: El Houssaine Author-X-Name-Last: Tissir Author-Name: Noreddine Chaibi Author-X-Name-First: Noreddine Author-X-Name-Last: Chaibi Title: New design of anti-windup and dynamic output feedback control for TCP/AQM system with asymmetrical input constraints Abstract: In this paper two important problems, i.e. Denial of Service (DoS) attack and saturated input, are considered for the TCP/AQM system. The first problem is modelled in a quantitative manner over the system dynamics. Then, Linear Matrix Inequality (LMI) condition for synthesising a Dynamic Output Feedback (DOF) controller with guaranteed cost approach is proposed. The second problem is inherently asymmetric, and a generalised sector condition is derived to obtain stability conditions based on quadratic Lyapunov functions. Sufficient conditions in terms of LMIs for designing the anti-windup compensator are then derived. By solving these LMIs, the controller matrices along with the less bound of the cost function and an appropriate anti-windup compensator are obtained. Through Network Simulator 3 (NS3) the efficiency of the theory is illustrated. Journal: International Journal of Systems Science Pages: 1822-1834 Issue: 9 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2020.1871108 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1871108 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:9:p:1822-1834 Template-Type: ReDIF-Article 1.0 Author-Name: Wang Jianhong Author-X-Name-First: Wang Author-X-Name-Last: Jianhong Author-Name: Wang Yanxiang Author-X-Name-First: Wang Author-X-Name-Last: Yanxiang Author-Name: Ricardo A. Ramirez-Mendoza Author-X-Name-First: Ricardo A. Author-X-Name-Last: Ramirez-Mendoza Author-Name: Ruben Morales-Menendez Author-X-Name-First: Ruben Author-X-Name-Last: Morales-Menendez Title: Adaptive iterative correlation tuning for closed loop system with two parametrised controllers Abstract: In this paper, we study the problem of controller design for one closed loop system with feedforward controller and feedback controller simultaneously. After parametrised these two controllers by two unknown parameter vectors, iterative correlation tuning control is proposed to design these unknown controller parameters through one process of finding roots with respect to one correlation function. As no identification process is needed for the unknown plant in iterative correlation tuning control, the unknown controller parameters are identified by using only input–output measured data. Through applying the adaptive idea to guarantee iterative parameter estimators converge to their true values, MIT rule is regarded as a gradient scheme for the constructed correlation in the parameter adjustment mechanism. Further, Lyapunov stability is applied to derive one parameter adjustment law satisfying the stability for the whole adaptive system. From the point of adaptive analysis, some new results about the sensitivity functions are derived for three types of disturbances to consider tracking and regulation with independent object. Generally, iterative correlation tuning control can design controllers directly without any knowledge about the unknown plant and adjust the unknown controller parameters adaptively through one established parameter adjustment mechanism. Finally two simulation examples are performed to demonstrate the effectiveness of the theories. Journal: International Journal of Systems Science Pages: 1835-1849 Issue: 9 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2020.1871527 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1871527 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:9:p:1835-1849 Template-Type: ReDIF-Article 1.0 Author-Name: Dehri Khadija Author-X-Name-First: Dehri Author-X-Name-Last: Khadija Author-Name: Messaoud Anis Author-X-Name-First: Messaoud Author-X-Name-Last: Anis Author-Name: Ben Abdennour Ridha Author-X-Name-First: Ben Abdennour Author-X-Name-Last: Ridha Title: A discrete repetitive sliding mode multicontrol for non-linear systems Abstract: The identification and the design of an accurate control are still an active researches of nonlinear systems subject to harmonic disturbances. In this paper, we propose two techniques to deal with nonlinear system identification and control problems. First, a new identification scheme based only on input/output measurements is proposed. In this scheme, an adaptive filter is used to extract the periodic disturbance and the non-perturbed system dynamics from the real output. Then, a multimodel approach is adopted to obtain the models base of the real non-perturbed system. Secondly,the models base is used to develop a multi-model sliding mode control (MM-SMC). Thereafter, the structure of plug-in repetitive control is incorporated into the MM-SMC to ensure good closed loop performances in terms of harmonic disturbance rejection and tracking in the case of nonlinear systems. Simulation results of two numerical examples shows the effectiveness of the proposed identification and control strategies in spite the presence of nonlinearities and harmonic disturbances. Journal: International Journal of Systems Science Pages: 1761-1779 Issue: 9 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2020.1870017 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1870017 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:9:p:1761-1779 Template-Type: ReDIF-Article 1.0 Author-Name: Shu-Ting Sun Author-X-Name-First: Shu-Ting Author-X-Name-Last: Sun Author-Name: Xiao-Dong Li Author-X-Name-First: Xiao-Dong Author-X-Name-Last: Li Title: Robust networked ILC for switched nonlinear discrete systems with non-repetitive uncertainties and random data dropouts Abstract: In this article, a robust networked iterative learning control (ILC) method is presented for switched nonlinear discrete-time systems (NDTS) subject to non-repetitive uncertainties and random data dropouts. In the proposed robust networked ILC scheme, the switching law, iterative initial state, and disturbances, all of which vary with iterations, are well addressed. Corresponding to the actuator side and the measurement side of the networked switched NDTS, the random data dropouts occurred are compensated by the input signals at last iteration and the reference outputs, respectively. As a result, it is theoretically proved that under the non-repetitive uncertainties of the switched NDTS, the mathematical expectation of ILC tracking error remains bounded during the ILC process. While the non-repetitive uncertainties are progressively convergent in iteration domain, a precise tracking to the reference trajectory in mathematical expectation sense can be achieved. The effectiveness of the proposed networked ILC design is validated by a numerical example. Journal: International Journal of Systems Science Pages: 1746-1760 Issue: 9 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2020.1869855 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1869855 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:9:p:1746-1760 Template-Type: ReDIF-Article 1.0 Author-Name: Fenglan Sun Author-X-Name-First: Fenglan Author-X-Name-Last: Sun Author-Name: Peiyong Liu Author-X-Name-First: Peiyong Author-X-Name-Last: Liu Author-Name: Hao Li Author-X-Name-First: Hao Author-X-Name-Last: Li Author-Name: Wei Zhu Author-X-Name-First: Wei Author-X-Name-Last: Zhu Title: Fixed-time consensus of heterogeneous multi-agent systems based on distributed observer Abstract: Fixed-time consensus of the heterogeneous multi-agent system, which consisting of first-order and second-order agents with a leader, is studied in this paper. A new control algorithm based on the distributed observer is proposed. By adopting the graph theory, matrix theory, control theory and Lyapunov stability method, some sufficient conditions for the fixed-time consensus and an upper bound of settling time are given. An example is presented to illustrate the potential correctness of the main results. Journal: International Journal of Systems Science Pages: 1780-1789 Issue: 9 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2020.1871105 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1871105 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:9:p:1780-1789 Template-Type: ReDIF-Article 1.0 Author-Name: Thi Hiep Luu Author-X-Name-First: Thi Hiep Author-X-Name-Last: Luu Author-Name: Phan Thanh Nam Author-X-Name-First: Phan Thanh Author-X-Name-Last: Nam Title: Stability analysis of singular time-delay systems using the auxiliary function-based double integral inequalities Abstract: Recently, there have been a few developments reported on using the Wirtinger/free-matrix-based single integral inequality to stability problem of singular time-delay systems but there has been no report on the double ones. This paper presents an extension on applying the auxiliary function-based double integral inequality to the problem. Furthermore, an extension of the delay-dependent matrix technique into the single integral term of the Lyapunov–Krasovskii function to reduce more the conservatism has also been presented. By proposing an extended Lyapunov–Krasovskii functional (LKF) with triple integral terms and three delay-dependent matrices, a new delay-derivative-dependent stability criterion is derived. The effectiveness of the obtained result is illustrated through a numerical example. Journal: International Journal of Systems Science Pages: 1868-1881 Issue: 9 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2021.1871983 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1871983 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:9:p:1868-1881 Template-Type: ReDIF-Article 1.0 Author-Name: J. Guzman Author-X-Name-First: J. Author-X-Name-Last: Guzman Author-Name: F.-R. López-Estrada Author-X-Name-First: F.-R. Author-X-Name-Last: López-Estrada Author-Name: V. Estrada-Manzo Author-X-Name-First: V. Author-X-Name-Last: Estrada-Manzo Author-Name: G. Valencia-Palomo Author-X-Name-First: G. Author-X-Name-Last: Valencia-Palomo Title: Actuator fault estimation based on a proportional-integral observer with nonquadratic Lyapunov functions Abstract: This work proposes a proportional-integral fault estimation observer for nonlinear systems by means of convex structures. Unlike the traditional approaches that consider quadratic Lyapunov functions, this work employs nonquadratic ones. As a result, less conservative conditions in the form of linear matrix inequalities are obtained. Furthermore, an $ H_\infty $ H∞ performance is employed in order to ensure robustness against sensor noise and disturbances; thus, the designed observer estimates both the state and the actuator faults even in the presence of disturbances. The performance of the proposed methodology is illustrated through a numerical example and a three-tank hydraulic system. Journal: International Journal of Systems Science Pages: 1938-1951 Issue: 9 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2021.1873451 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1873451 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:9:p:1938-1951 Template-Type: ReDIF-Article 1.0 Author-Name: Mai Viet Thuan Author-X-Name-First: Mai Viet Author-X-Name-Last: Thuan Author-Name: Le Ba Phuong Author-X-Name-First: Le Ba Author-X-Name-Last: Phuong Author-Name: Do Thi Thanh Author-X-Name-First: Do Thi Author-X-Name-Last: Thanh Author-Name: Tran Thi Hong Trang Author-X-Name-First: Tran Thi Author-X-Name-Last: Hong Trang Author-Name: Nguyen Huu Sau Author-X-Name-First: Nguyen Author-X-Name-Last: Huu Sau Title: State bounding and L∞-gain for positive singular systems with unbounded time-variable delay Abstract: This paper studies the problems of state bounding and $ L_\infty $ L∞-gain analysis for positive singular systems with unbounded time-variable delays and bounded disturbance for the first time. By a novel approach, we derive componentwise state bounds for positive singular system with or without bounded disturbances. An application to $ L_{\infty } $ L∞-gain problem of positive singular systems with unbounded time-variable delays is also presented. A numerical example is conducted to validate the effectiveness of our results. Journal: International Journal of Systems Science Pages: 1925-1937 Issue: 9 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2021.1872729 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1872729 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:9:p:1925-1937 Template-Type: ReDIF-Article 1.0 Author-Name: Ying Yang Author-X-Name-First: Ying Author-X-Name-Last: Yang Author-Name: Yong Wang Author-X-Name-First: Yong Author-X-Name-Last: Wang Author-Name: Zhilong Huang Author-X-Name-First: Zhilong Author-X-Name-Last: Huang Title: Probabilistic tracking control of dissipated Hamiltonian systems excited by Gaussian white noises Abstract: This paper devotes to a feedback control strategy for nonlinear stochastic dynamical system to track a prespecified stationary response probability density. The system description and control design are conducted in Hamiltonian framework, and the excitations are confined to Gaussian white noises. The control design consists of several successive steps: firstly, separating the control into conservative and dissipative components by physical intuition, and expanding two components as polynomials; secondly, deriving the low-dimensional averaged equations of controlled Hamiltonian by stochastic averaging, and obtaining the stationary probability density of controlled responses by solving the associated Fokker-Planck-Kolmogorov (FPK) equation; thirdly and finally, determining the polynomial coefficients by minimising the performance index which balances the tracking performance and control cost. Two examples, i.e. Duffing oscillator and frictional system are adopted to illustrate the application and efficacy of this control strategy to track Gaussian and non-Gaussian response probability density. Journal: International Journal of Systems Science Pages: 1790-1805 Issue: 9 Volume: 52 Year: 2021 Month: 07 X-DOI: 10.1080/00207721.2020.1871106 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1871106 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:9:p:1790-1805 Template-Type: ReDIF-Article 1.0 Author-Name: Huan Xu Author-X-Name-First: Huan Author-X-Name-Last: Xu Author-Name: Feng Ding Author-X-Name-First: Feng Author-X-Name-Last: Ding Author-Name: Min Gan Author-X-Name-First: Min Author-X-Name-Last: Gan Author-Name: Ahmed Alsaedi Author-X-Name-First: Ahmed Author-X-Name-Last: Alsaedi Author-Name: Tasawar Hayat Author-X-Name-First: Tasawar Author-X-Name-Last: Hayat Title: Parameter estimation for an exponential autoregressive time series model by the Newton search and multi-innovation theory Abstract: This paper focuses on the recursive parameter estimation problem of the exponential autoregressive (ExpAR) model. Applying the Newton search and multi-innovation theory, a multi-innovation Newton recursive algorithm is presented for identifying the ExpAR model. In order to improve the computational efficiency, the hierarchical identification principle is employed to decompose an ExpAR model into two sub-models, and to derive a hierarchical multi-innovation Newton recursive algorithm. A simulation example is provided to demonstrate the effectiveness of the proposed algorithms. Journal: International Journal of Systems Science Pages: 2630-2645 Issue: 12 Volume: 52 Year: 2021 Month: 09 X-DOI: 10.1080/00207721.2021.1895356 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1895356 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:12:p:2630-2645 Template-Type: ReDIF-Article 1.0 Author-Name: Ilyasse Aksikas Author-X-Name-First: Ilyasse Author-X-Name-Last: Aksikas Title: Optimal control and duality-based observer design for a hyperbolic PDEs system with application to fixed-bed reactor Abstract: This paper is devoted to the design of an optimal infinite-dimensional Luenberger observer combined with a linear-quadratic state feedback controller for a system of hyperbolic PDEs. The design is based on the duality fact between the control design and the observer design. Both the original linear-quadratic and dual control problems have been solved by using the associated Riccati equations. A general algorithm that combines the designed observer together with the (estimated) state-feedback controller has been developed. The theoretical development has been applied to a fixed-bed reactor to validate the performances of the designed observer-controller via numerical simulation. Estimation and control of the temperature and the reactant concentration in a fixed-bed reactor is investigated by using the developed algorithm, which lead to express the jacket temperature (manipulated variable) as a feedback of the estimated temperature and concentration in the reactor. Journal: International Journal of Systems Science Pages: 2493-2504 Issue: 12 Volume: 52 Year: 2021 Month: 09 X-DOI: 10.1080/00207721.2021.1890856 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1890856 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:12:p:2493-2504 Template-Type: ReDIF-Article 1.0 Author-Name: Liuliu Zhang Author-X-Name-First: Liuliu Author-X-Name-Last: Zhang Author-Name: Lingchen Zhu Author-X-Name-First: Lingchen Author-X-Name-Last: Zhu Author-Name: Changchun Hua Author-X-Name-First: Changchun Author-X-Name-Last: Hua Author-Name: Cheng Qian Author-X-Name-First: Cheng Author-X-Name-Last: Qian Title: Decentralised state-feedback prescribed performance control for a class of interconnected nonlinear full-state time-delay systems with strong interconnection Abstract: This paper investigates the problem of the state-feedback control design for a class of interconnected nonlinear full-state time-delay systems with strong interconnection and prescribed performance. Based on the dynamic gain approach and Lyapunov-Krasovskii method, it overcomes the rigorous restriction that the interconnected time-delay functions should satisfy linear growth condition. Compared with the existing results, the main contribution is that the dynamic gain approach is extended to state-feedback control for interconnected time-delay systems, and it is strictly proved that the closed-loop system is globally bounded stable with the proposed decentralised control strategy. The problem of the strong interconnection terms is solved by combining the backstepping approach and graph theory. Furthermore, the expected transient and steady-state performance of the output can be guaranteed by considering prescribed performance control into such strongly interconnected systems. Finally, simulation is performed and the results show the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2580-2596 Issue: 12 Volume: 52 Year: 2021 Month: 09 X-DOI: 10.1080/00207721.2021.1892237 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1892237 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:12:p:2580-2596 Template-Type: ReDIF-Article 1.0 Author-Name: J. Zhou Author-X-Name-First: J. Author-X-Name-Last: Zhou Author-Name: R. Huang Author-X-Name-First: R. Author-X-Name-Last: Huang Author-Name: H. Q. Huang Author-X-Name-First: H. Q. Author-X-Name-Last: Huang Title: Manoeuvrable multi-agent formation control via time-varying flocking and iterative learning tracking Abstract: Manoeuvrable (or time-varying) formation control of second-order integral multi-agent networks with single virtual leaders is contrived by incorporating time-varying weighting matrices into flocking algorithms. Existence and properties are examined, including control bounded-ness, average trajectory and formation manoeuvrability with respect to the weighting matrices and virtual leader reference input. More specifically, it is shown that under the time-varying flocking algorithms, the multi-agents ultimately run into lattice formations and their kinematical features in terms of orientation, scaling, subspace specification and homogeneous/heterogeneous consensus can be manoeuvred. Moreover, by gain-scheduling assignment for the leader-average dynamics via the variation-of-constant formula and iterative learning optimisation, trajectory-tracking manoeuvrable formation control can be achieved. Technical advantages include: flexible formations rather than rigid ones can be dealt with; formation and trajectory tracking can be designed separately and implemented simultaneously; diverse formations are achievable by selecting the weighting matrices; trajectory-tracking control is independent of trajectory modelling. Numerical examples are illustrated to show the main results. Journal: International Journal of Systems Science Pages: 2460-2479 Issue: 12 Volume: 52 Year: 2021 Month: 09 X-DOI: 10.1080/00207721.2021.1890271 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1890271 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:12:p:2460-2479 Template-Type: ReDIF-Article 1.0 Author-Name: Roozbeh Abolpour Author-X-Name-First: Roozbeh Author-X-Name-Last: Abolpour Author-Name: Maryam Dehghani Author-X-Name-First: Maryam Author-X-Name-Last: Dehghani Author-Name: Heidar Ali Talebi Author-X-Name-First: Heidar Ali Author-X-Name-Last: Talebi Title: A non-conservative state feedback control methodology for linear systems with state delay Abstract: This paper deals with the state feedback control for linear systems in the presence of state delay using a direct numerical design methodology. The design algorithm iteratively searches the solution space of controller parameters to find a proper controller gain that guarantees the delay-independent stability of the closed-loop system. The algorithm divides the solution space to some simplexes, selects one simplex and evaluates two checking methods on this simplex. The first method checks the stabilisability of the corner points (to establish the feasible point) and the other detects the total infeasibility (total de-stabilisability) of the simplex (to omit the undesired parts). One interesting property of the method is its capability in detecting total de-stabilisability of a simplex through its corner points. If none of these methods is successful, the simplex is divided into two smaller ones which will be checked in the next algorithm’s iterations. According to the direct search nature, the algorithm is non-conservative and assuredly reaches a stabilizable point in the feasible space of the design space. The proposed algorithm and previous methods are evaluated on a set of random generated systems to compare the feasibility of the methods. Simulation results reveal the superiority of the proposed algorithm. Journal: International Journal of Systems Science Pages: 2549-2563 Issue: 12 Volume: 52 Year: 2021 Month: 09 X-DOI: 10.1080/00207721.2021.1892235 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1892235 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:12:p:2549-2563 Template-Type: ReDIF-Article 1.0 Author-Name: Luca Cavanini Author-X-Name-First: Luca Author-X-Name-Last: Cavanini Author-Name: Francesco Ferracuti Author-X-Name-First: Francesco Author-X-Name-Last: Ferracuti Author-Name: Andrea Monteriù Author-X-Name-First: Andrea Author-X-Name-Last: Monteriù Title: Optimal error governor for PID controllers Abstract: Error Governor (EG) deals with the problem of dynamically modifying the feedback error driving a controller having bounded control signals, for preventing controller or actuators saturation, avoiding integrator and/or slow dynamics windup and preserving the nominal linear controller behaviour. In this paper, an optimisation-based EG scheme is proposed for discrete-time Proportional–Integral–Derivative (PID) controllers driving Single-Input Single-Output (SISO) plants. The PID controller is considered in state-space form, and this formulation is used to pose the EG problem as a constrained quadratic program (QP). Because the QP problem is subject to inequality constraints related to controller saturation, in order to use the proposed scheme in real-world applications, it should be necessary to consider appropriate algorithms for efficiently solving the optimisation problem. An efficient way to efficiently compute the solution of the EG problem is presented, reducing the computational effort required to solve the EG QP for using the proposed scheme in real control loops with high sampling rate. An analysis of control performance and computational burden is provided, comparing in simulation studies the optimal EG scheme performance with respect to control results provided by saturated PID with and without anti-windup action. Journal: International Journal of Systems Science Pages: 2480-2492 Issue: 12 Volume: 52 Year: 2021 Month: 09 X-DOI: 10.1080/00207721.2021.1890272 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1890272 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:12:p:2480-2492 Template-Type: ReDIF-Article 1.0 Author-Name: Yuman Li Author-X-Name-First: Yuman Author-X-Name-Last: Li Author-Name: Yiheng Wei Author-X-Name-First: Yiheng Author-X-Name-Last: Wei Author-Name: Chen Yuquan Author-X-Name-First: Chen Author-X-Name-Last: Yuquan Author-Name: Yong Wang Author-X-Name-First: Yong Author-X-Name-Last: Wang Title: H∞ bounded real lemma for singular fractional-order systems Abstract: This paper derives the bounded real lemma corresponding to $ H_\infty $ H∞ norm of the singular fractional-order system (SFOS). The $ H_\infty $ H∞ bounded real lemma established for both cases of $ 0 \lt \alpha \lt 1 $ 0<α<1 and $ 1 \lt \alpha \lt 2 $ 1<α<2 has no conservatism and it turns the original complex computation of $ H_\infty $ H∞ norm into linear matrix inequality (LMI) problem, which can be performed in a computationally efficient fashion. In addition, it can test the system stability automatically, which is critical for system analysis. From this advantage, the synthesis problem of $ H_\infty $ H∞ control for the SFOS is addressed in the form of LMI. The simulation study is performed to validate the effectiveness and efficiency of the proposed methods. Journal: International Journal of Systems Science Pages: 2538-2548 Issue: 12 Volume: 52 Year: 2021 Month: 09 X-DOI: 10.1080/00207721.2021.1891482 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1891482 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:12:p:2538-2548 Template-Type: ReDIF-Article 1.0 Author-Name: Yijing Wang Author-X-Name-First: Yijing Author-X-Name-Last: Wang Author-Name: Shizhuo Cao Author-X-Name-First: Shizhuo Author-X-Name-Last: Cao Author-Name: Hongjiu Yang Author-X-Name-First: Hongjiu Author-X-Name-Last: Yang Author-Name: Zhiqiang Zuo Author-X-Name-First: Zhiqiang Author-X-Name-Last: Zuo Author-Name: Li Wang Author-X-Name-First: Li Author-X-Name-Last: Wang Author-Name: Xiaoyuan Luo Author-X-Name-First: Xiaoyuan Author-X-Name-Last: Luo Title: Model predictive longitudinal control for autonomous electric vehicles with tracking differentiator Abstract: In this paper, the longitudinal control is investigated for an autonomous electric vehicle with a tracking differentiator. The autonomous electric vehicle is modelled as a longitudinal system for model predictive control. The tracking differentiator is proposed to obtain the transition profile and acceleration information. A dual-mode model predictive controller is designed for the longitudinal system to find the optimal control input, which is restricted with some constraints on the desired acceleration and its increment. Both iterative feasibility and its stability issues are analysed for the longitudinal system under the dual-mode model predictive controller. Experimental results are given to show the effectiveness of the proposed strategy. Journal: International Journal of Systems Science Pages: 2564-2579 Issue: 12 Volume: 52 Year: 2021 Month: 09 X-DOI: 10.1080/00207721.2021.1892236 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1892236 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:12:p:2564-2579 Template-Type: ReDIF-Article 1.0 Author-Name: Xuechao Qiu Author-X-Name-First: Xuechao Author-X-Name-Last: Qiu Author-Name: Changchun Hua Author-X-Name-First: Changchun Author-X-Name-Last: Hua Author-Name: Jiannan Chen Author-X-Name-First: Jiannan Author-X-Name-Last: Chen Author-Name: Yu Zhang Author-X-Name-First: Yu Author-X-Name-Last: Zhang Author-Name: Xinping Guan Author-X-Name-First: Xinping Author-X-Name-Last: Guan Title: Event-triggered based adaptive neural network control of a robotic manipulator with output constraints and disturbance Abstract: This paper studies event-triggered based adaptive neural network (NN) tracking control of a robotic manipulator with output constraints and disturbance. First, a novel asymmetric tan-type barrier Lyapunov function (BLF) is developed to satisfy the requirement of time-varying output constraints. Then, a fixed threshold event triggering is proposed to reduce the energy consumption, which avoids the happening of Zeno behaviour after analysis. Further, a disturbance observer (DO) and an adaptive neural network are devised to estimate the bounded disturbance and the unknown dynamics of the robotic manipulator. The proposed controller can achieve uniform boundness of the solution and adjustment of transient performance. Finally, the effectiveness of the presented methods is verified by related simulation results. Journal: International Journal of Systems Science Pages: 2415-2426 Issue: 12 Volume: 52 Year: 2021 Month: 09 X-DOI: 10.1080/00207721.2020.1856443 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1856443 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:12:p:2415-2426 Template-Type: ReDIF-Article 1.0 Author-Name: Marco Antonio Leite Beteto Author-X-Name-First: Marco Antonio Leite Author-X-Name-Last: Beteto Author-Name: Edvaldo Assunção Author-X-Name-First: Edvaldo Author-X-Name-Last: Assunção Author-Name: Marcelo Carvalho Minhoto Teixeira Author-X-Name-First: Marcelo Carvalho Minhoto Author-X-Name-Last: Teixeira Author-Name: Emerson Ravazzi Pires da Silva Author-X-Name-First: Emerson Ravazzi Pires da Author-X-Name-Last: Silva Author-Name: Luiz Francisco Sanches Buzachero Author-X-Name-First: Luiz Francisco Sanches Author-X-Name-Last: Buzachero Author-Name: Rodrigo da Ponte Caun Author-X-Name-First: Rodrigo Author-X-Name-Last: da Ponte Caun Title: Less conservative conditions for robust LQR-state-derivative controller design: an LMI approach Abstract: This study proposes less conservative conditions for robust linear quadratic regulator controllers using state-derivative feedback (SDF). The algebraic Ricatti equation was formulated using the SDF, and its solution was obtained by linear matrix inequalities. SDF was chosen owing to the presence of accelerometers as sensors. Since accelerometers are the main sensors in mechanical systems, the proposed technique may be used to control/attenuate their vibrations/oscillations. Moreover, to formulate the less conservative conditions, some methods in the specialised literature were used, such as, for example, slack variables by Finler's Lemma. The paper also offers necessary and sufficient conditions for an arbitrary convex combination of square real matrices $ A_1, A_2,\ldots , A_r $ A1,A2,…,Ar to be a nonsingular matrix, and thus an invertible one: $ A_1 $ A1 must be nonsingular and all the real eigenvalues of $ A_1^{-1}A_2, A_1^{-1}A_3,\ldots , A_1^{-1}A_r $ A1−1A2,A1−1A3,…,A1−1Ar must be positive. This result is important in the formulation of the proposed less conservative conditions since it was assumed that a given convex combination is nonsingular. A feasibility analysis demonstrates that the proposed conditions reduce the conservatism. Thereby, it is possible to stabilise a higher number of systems and to reduce the guaranteed cost. Furthermore, a practical implementation illustrated the application of the proposed conditions. Journal: International Journal of Systems Science Pages: 2518-2537 Issue: 12 Volume: 52 Year: 2021 Month: 09 X-DOI: 10.1080/00207721.2021.1891325 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1891325 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:12:p:2518-2537 Template-Type: ReDIF-Article 1.0 Author-Name: Qijia Yao Author-X-Name-First: Qijia Author-X-Name-Last: Yao Title: Robust constrained trajectory tracking control for a PVTOL aircraft subject to external disturbances Abstract: This paper addresses the trajectory tracking control problem of a planar vertical take-off and landing (PVTOL) aircraft in the presence of position constraints and external disturbances. A novel robust constrained control approach is proposed by incorporating the barrier Lyapunov function (BLF) and nonlinear damping items within the framework of dynamic surface control design. The dynamic surface control is used to avoid the ‘explosion of terms’ problem of the traditional backstepping control. The tan-type BLF is utilised to preserve the position tracking errors always within the predefined position constraints. The nonlinear damping items are applied to handle the effect of external disturbances. The uniform ultimate boundedness of the resulting closed-loop system is rigorously proved through the Lyapunov’s direct method. A distinct feature of the proposed control approach is that it is a general methodology for the trajectory tracking control of PVTOL aircraft with or without position constraints. Both theoretical analysis and numerical simulations illustrate the effectiveness and benefits of the proposed control approach. Journal: International Journal of Systems Science Pages: 2617-2629 Issue: 12 Volume: 52 Year: 2021 Month: 09 X-DOI: 10.1080/00207721.2021.1892862 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1892862 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:12:p:2617-2629 Template-Type: ReDIF-Article 1.0 Author-Name: Guangtai Tian Author-X-Name-First: Guangtai Author-X-Name-Last: Tian Title: Finite-time H∞ control for stochastic Markovian jump systems with time-varying delay and generally uncertain transition rates Abstract: This paper considers the finite-time $ H_{\infty } $ H∞ control problem for Markovian jump systems (MJSs) with time-varying delay and generally uncertain transition rates (GUTRs). Based on Lyapunov-Krasovskii functionals and free-weight matrices, some sufficient conditions for finite-time boundedness and $ H_{\infty } $ H∞ finite-time boundedness of MJSs are derived in the presence of external disturbances and It $ \hat {o} $ o^-type stochastic disturbances. A state feedback controller is proposed to achieve $ H_{\infty } $ H∞ finite-time boundedness performance. By applying linear matrix inequalities (LMIs), the parameterisation of the controller is converted to a convex optimisation problem. Finally, a practical example demonstrates the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2446-2459 Issue: 12 Volume: 52 Year: 2021 Month: 09 X-DOI: 10.1080/00207721.2021.1889709 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1889709 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:12:p:2446-2459 Template-Type: ReDIF-Article 1.0 Author-Name: Soumaya Marzougui Author-X-Name-First: Soumaya Author-X-Name-Last: Marzougui Author-Name: Asma Atitallah Author-X-Name-First: Asma Author-X-Name-Last: Atitallah Author-Name: Saida Bedoui Author-X-Name-First: Saida Author-X-Name-Last: Bedoui Author-Name: Kamel Abderrahim Author-X-Name-First: Kamel Author-X-Name-Last: Abderrahim Title: Hierarchical fractional-order Hammerstein system identification Abstract: For the fractional-order Hammerstein system with white noise, the difficulty of identification is that the parameters of the linear and the nonlinear blocks and the fractional order are unknown and the intermediate variable and the states are unmeasurable. To overcome this difficulty, we transform the system from an input nonlinear pseudo-state-space system to an input–output representation and we develop an algorithm based on the Recursive Least Squares, the Levenberg–Marquardt and the Auxiliary Model Principle. The convergence of the identified parameters is studied. The performance of the proposed algorithm are tested by two numerical examples. Journal: International Journal of Systems Science Pages: 2505-2517 Issue: 12 Volume: 52 Year: 2021 Month: 09 X-DOI: 10.1080/00207721.2021.1891324 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1891324 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:12:p:2505-2517 Template-Type: ReDIF-Article 1.0 Author-Name: R. Sakthivel Author-X-Name-First: R. Author-X-Name-Last: Sakthivel Author-Name: R. Sakthivel Author-X-Name-First: R. Author-X-Name-Last: Sakthivel Author-Name: P. Selvaraj Author-X-Name-First: P. Author-X-Name-Last: Selvaraj Author-Name: Faris Alzahrani Author-X-Name-First: Faris Author-X-Name-Last: Alzahrani Author-Name: S. Marshal Anthoni Author-X-Name-First: S. Author-X-Name-Last: Marshal Anthoni Title: Robust non-fragile memory feedback control for multi-weighted complex dynamical networks with randomly occurring gain fluctuations Abstract: This paper deals with the robust observer-based synchronisation problem for a class of complex dynamic networks subject to multi-weights, time-varying coupling delay and external disturbance. Specifically, the gain fluctuation appears in the proposed controller and is represented in terms of a random variable obeying the Bernoulli distribution. The main objective of this paper is to design a non-fragile memory state feedback controller such that the resulting error system is stochastically synchronised under a prescribed $ H_\infty $ performance level $ \gamma \gt 0 $ . First, a Luenberger-type state observer is constructed to estimate the state variables of the addressed system. Second, by constructing an appropriate Lyapunov–Krasovskii functional and using Wirtinger-based integral inequality techniques, the required set of sufficient conditions for the synchronisation of the proposed system is established in the form of linear matrix inequalities. In the end, two numerical examples are provided to demonstrate the validity and feasibility of the developed theoretical results. Journal: International Journal of Systems Science Pages: 2597-2616 Issue: 12 Volume: 52 Year: 2021 Month: 09 X-DOI: 10.1080/00207721.2021.1892861 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1892861 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:12:p:2597-2616 Template-Type: ReDIF-Article 1.0 Author-Name: Ahmad Mirzaei Author-X-Name-First: Ahmad Author-X-Name-Last: Mirzaei Author-Name: Amin Ramezani Author-X-Name-First: Amin Author-X-Name-Last: Ramezani Title: Distributed model predictive control for nonlinear large-scale systems based on reduced-order cooperative optimisation Abstract: In this paper, a novel cooperative constrained distributed model predictive control algorithm is proposed to control the nonlinear interconnected constrained large-scale systems. In this algorithm, a novel reduced-order cooperative optimisation approach is proposed which is its main contribution that reconstructs and improves the global cost function of any local controller. In proposed algorithm, each local controller computes its optimal control by minimising the corresponding global cost function which is a combination of its own and its neighbouring subsystems’ cost functions. The sufficient conditions are derived to guarantee the recursive feasibility and closed-loop stability specifications to ensure the convergence of the overall states into the positive region which is the neighbourhood of origin. The performance of the proposed algorithm is illustrated via simulation results of a nonlinear large-scale cart-spring-damper system. Journal: International Journal of Systems Science Pages: 2427-2445 Issue: 12 Volume: 52 Year: 2021 Month: 09 X-DOI: 10.1080/00207721.2021.1889708 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1889708 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:12:p:2427-2445 Template-Type: ReDIF-Article 1.0 Author-Name: Yana Yang Author-X-Name-First: Yana Author-X-Name-Last: Yang Author-Name: Xiangduan Zeng Author-X-Name-First: Xiangduan Author-X-Name-Last: Zeng Author-Name: Junpeng Li Author-X-Name-First: Junpeng Author-X-Name-Last: Li Title: Fixed-time output tracking control for a class of uncertain nonlinear MIMO systems Abstract: This article proposed a new fixed-time output tracking control scheme for a class of high-order MIMO nonlinear systems with unknown nonlinearities, parameter uncertainties and external disturbances. Firstly, a novel nonsingular recursive integral terminal sliding mode (ITSM) surface is designed by employing appropriate integral function and integer orders. Then the lumped system matched and mismatched uncertainties are estimated by developing a new adaptive fixed-time disturbance observer (AFTDO) based on super-twisting technique. The chattering problem existed in traditional disturbance observer (DO) can be reduced with the proposed AFTDO allowing the gains to adapt the changed derivative of lumped disturbances, effectively. Furthermore, semi-global fixed-time stability analysis is presented by means of Lyapunov stability theorem and it is proved that the system convergence time is independent of the system initial states and allowed to be arbitrarily adjusted based on practical demands. Finally, theoretical results are supported by numerical simulation and experimental results. Journal: International Journal of Systems Science Pages: 2798-2812 Issue: 13 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1907632 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1907632 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:13:p:2798-2812 Template-Type: ReDIF-Article 1.0 Author-Name: Qiang Yu Author-X-Name-First: Qiang Author-X-Name-Last: Yu Author-Name: Guisheng Zhai Author-X-Name-First: Guisheng Author-X-Name-Last: Zhai Title: New stability criteria of switched systems with unstable modes under a weighted ADT scheme Abstract: Two concepts of the weighted average dwell time (WADT) and the fast weighted average dwell time (FWADT) are introduced for continuous-time switched systems. The stability problems for a switched system with WADT and FWADT are investigated under a class of ergodic switching signals. The relationship between the ADT/mode-dependent ADT schemes and the WADT scheme is also discussed, which shows that the classic schemes are included in the new one under some conditions. The proposed switching law based on the (F)WADT scheme is more flexible and has a larger feasible region than the existing results. Finally, two numerical examples with some comparisons among several schemes are included to illustrate the validity and superiority of the developed techniques. Journal: International Journal of Systems Science Pages: 2735-2751 Issue: 13 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1898695 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1898695 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:13:p:2735-2751 Template-Type: ReDIF-Article 1.0 Author-Name: Cheng-Lin Liu Author-X-Name-First: Cheng-Lin Author-X-Name-Last: Liu Author-Name: He Li Author-X-Name-First: He Author-X-Name-Last: Li Author-Name: Liang Shan Author-X-Name-First: Liang Author-X-Name-Last: Shan Title: Stationary average-tracking problem of unmatched constant reference signals based on delayed-state feedback Abstract: Stationary average-tracking problems of unmatched constant reference signals are investigated for first-order multi-agent systems, and an integral-type average-tracking algorithm with delayed-state feedback is constructed. With identical communication delays and different introduced self-delays, sufficient conditions are obtained for the agents converging to the average-value of unmatched reference signals asymptotically by using the frequency-domain analysis method. To our delight, introducing delayed-state feedback improves the robustness to communication delay and unmatched reference signals. Simulation results show the effectiveness of our proposed algorithm. Journal: International Journal of Systems Science Pages: 2725-2734 Issue: 13 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1898694 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1898694 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:13:p:2725-2734 Template-Type: ReDIF-Article 1.0 Author-Name: Chuang Yang Author-X-Name-First: Chuang Author-X-Name-Last: Yang Author-Name: Zhe Gao Author-X-Name-First: Zhe Author-X-Name-Last: Gao Author-Name: Xuanang Li Author-X-Name-First: Xuanang Author-X-Name-Last: Li Author-Name: Xiaomin Huang Author-X-Name-First: Xiaomin Author-X-Name-Last: Huang Title: Adaptive fractional-order Kalman filters for continuous-time nonlinear fractional-order systems with unknown parameters and fractional-orders Abstract: In this paper, two types of adaptive Kalman filters are proposed by using the Grünwald-Letnikov (G-L) difference method to estimate the state information of continuous-time nonlinear fractional-order systems with unknown parameters and fractional-orders. An adaptive extended Kalman filter is designed by using the first-order Taylor expansion to deal with the nonlinear function in a nonlinear fractional-order system with unknown parameters and fractional-order. Based on the third-degree spherical-radial rule, an adaptive cubature Kalman filter as another adaptive fractional-order Kalman filter discussed in this paper is provided by the cubature points to deal with the nonlinear function. The augmented vector consisting of the unknown state vectors, parameters and fractional-order is constructed, and the corresponding augmented equation is established to solve the estimation problem with unknown parameters and fractional-order. The state estimations of nonlinear fractional-order systems with unknown parameters and fractional-orders are carried out by the augmented vector method. Finally, four  examples are given to verify the effectiveness of the proposed adaptive Kalman filters with unknown parameters and fractional-orders in this paper. Journal: International Journal of Systems Science Pages: 2777-2797 Issue: 13 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1904303 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1904303 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:13:p:2777-2797 Template-Type: ReDIF-Article 1.0 Author-Name: Yongliang Zhan Author-X-Name-First: Yongliang Author-X-Name-Last: Zhan Author-Name: Shuai Sui Author-X-Name-First: Shuai Author-X-Name-Last: Sui Author-Name: Shaocheng Tong Author-X-Name-First: Shaocheng Author-X-Name-Last: Tong Title: Adaptive fuzzy decentralised control for fractional-order interconnected nonlinear systems with input saturation Abstract: This paper studies the fuzzy decentralised control issue for the fractional-order interconnected nonlinear systems with input saturation. The fuzzy logic systems (FLSs) and piecewise functions are used to approximate unknown nonlinear continuous functions and the input saturation of the considered systems. Under the frameworks of the backstepping control design technique and adaptive fuzzy decentralised control theory, an adaptive fuzzy decentralised control strategy is proposed. In view of fractional-order Lyapunov stability theory, it confirms the stability of the control plants and the convergence of the tracking errors. Finally, two simulation examples are applied to confirm the practicability and validity of the presented control strategy, in which, one is the two-order numerical fractional-order large-scale systems, the other one is the fractional-order permanent magnet synchronous motor (PMSM) model. Journal: International Journal of Systems Science Pages: 2689-2703 Issue: 13 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1895359 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1895359 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:13:p:2689-2703 Template-Type: ReDIF-Article 1.0 Author-Name: Mohammad Ali Masoumnia Author-X-Name-First: Mohammad Ali Author-X-Name-Last: Masoumnia Author-Name: Mohammad Bagher Menhaj Author-X-Name-First: Mohammad Bagher Author-X-Name-Last: Menhaj Author-Name: Amir Sooratgar Author-X-Name-First: Amir Author-X-Name-Last: Sooratgar Title: A unified structure for basic guidance laws of moving objects Abstract: In this paper, it is shown that most guidance methods can be considered as a specific form of the cross-product steering law which is based on aligning two physical vectors along with each other, and the only difference between these guidance schemes is the pair of vectors that should be aligned during the guidance process. After verifying this fact, it is concluded that the angle between these aligning vectors can be considered as a sliding surface and based on this observation, a generalised guidance structure is proposed using the sliding mode control. This approach presents a unified strategy for analysing and implementing different guidance methods such as velocity-to-be-gained, pure pursuit, proportional navigation and path following. The main advantages of this structure are its generality and simple extension to the three-dimensional space. Finally, the superiority of the proposed approach to traditional strategies is demonstrated through simulation results. Journal: International Journal of Systems Science Pages: 2647-2659 Issue: 13 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1871984 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1871984 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:13:p:2647-2659 Template-Type: ReDIF-Article 1.0 Author-Name: Emre Yildirim Author-X-Name-First: Emre Author-X-Name-Last: Yildirim Author-Name: Tansel Yucelen Author-X-Name-First: Tansel Author-X-Name-Last: Yucelen Title: Control of multiagent networks with misbehaving nodes Abstract: We study multiagent networks with floating, driver, and unmodelled nodes, where floating nodes exchange local information, driver nodes not only exchange local information but also take input and output roles, and unmodelled nodes have an unknown but bounded behaviour. Specifically, we consider the presence of misbehaving nodes within the floating and driver nodes in addition to the misbehaviours resulting from the unmodelled nodes, and propose a feedback control approach applied to the driver nodes for suppressing the effect of all misbehaving nodes in the multiagent network. We show closed-loop stability with the proposed approach, where the driver nodes asymptotically or closely follow a given command and the remaining nodes may also follow this command or remain bounded depending on the location of driver nodes in the multiagent network. Considering limited resources in that the number of driver nodes is generally fewer than the number of floating nodes, we further characterize the effect of the location of the driver nodes to closed-loop stability. Our findings reveal how the driver nodes need to be selected for isolating the effect of misbehaving nodes in certain portions of the multiagent network such that the nodes in those portions also follow the given command. Journal: International Journal of Systems Science Pages: 2858-2874 Issue: 13 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1910875 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1910875 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:13:p:2858-2874 Template-Type: ReDIF-Article 1.0 Author-Name: Yang Li Author-X-Name-First: Yang Author-X-Name-Last: Li Author-Name: Yong He Author-X-Name-First: Yong Author-X-Name-Last: He Title: New insight into admissibility analysis for singular systems with time-varying delays Abstract: This paper focuses on the admissibility analysis of singular systems with time-varying delays. The goal is to obtain admissibility criterion with less conservatism and fewer decision variables. After decomposing singular systems into differential subsystems and algebraic ones, an improved augmented Lyapunov–Krasovskii functional is established according to decomposed state vectors. Then, combining the auxiliary function-based inequality and the extended reciprocally convex matrix method, a less conservative admissibility criterion with fewer decision variables is obtained. Finally, a numerical example verifies the reduced conservatism and calculation burden of the presented method. Journal: International Journal of Systems Science Pages: 2752-2762 Issue: 13 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1902016 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1902016 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:13:p:2752-2762 Template-Type: ReDIF-Article 1.0 Author-Name: Jie Kong Author-X-Name-First: Jie Author-X-Name-Last: Kong Author-Name: Ben Niu Author-X-Name-First: Ben Author-X-Name-Last: Niu Author-Name: Zhenhua Wang Author-X-Name-First: Zhenhua Author-X-Name-Last: Wang Author-Name: Ping Zhao Author-X-Name-First: Ping Author-X-Name-Last: Zhao Author-Name: Wenhai Qi Author-X-Name-First: Wenhai Author-X-Name-Last: Qi Title: Adaptive output-feedback neural tracking control for uncertain switched MIMO nonlinear systems with time delays Abstract: This paper investigates the problem of adaptive output-feedback neural tracking control for a class of uncertain switched multiple-input multiple-output (MIMO) nonstrict-feedback nonlinear systems with time delays. It should be emphasised that the design for the considered system is quite difficult due to its unknown factors caused by the unknown system coefficients and the unknown functions. In our proposed design procedure, neural networks (NNs) are introduced to identify the unknown nonlinear functions and a valid hypothesis is used to deal with the unknown system coefficients. Then, the developed switched filter can be utilised to estimate the unmeasured system states. On the basis of the backstepping technique and the common Lyapunov function (CLF) approach, an adaptive neural controller is constructed for each subsystem. It is proved that all signals existing in the switched closed-loop system are ultimately bounded under arbitrary switching and each system output can track the corresponding target trajectory within a small bounded error. Finally, simulation results are presented to illustrate the efficiency of the proposed control method. Journal: International Journal of Systems Science Pages: 2813-2830 Issue: 13 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1909775 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1909775 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:13:p:2813-2830 Template-Type: ReDIF-Article 1.0 Author-Name: Lu Lv Author-X-Name-First: Lu Author-X-Name-Last: Lv Author-Name: Xinggao Liu Author-X-Name-First: Xinggao Author-X-Name-Last: Liu Author-Name: Long Xiao Author-X-Name-First: Long Author-X-Name-Last: Xiao Author-Name: Weihua Ma Author-X-Name-First: Weihua Author-X-Name-Last: Ma Author-Name: Zhenqiang Qi Author-X-Name-First: Zhenqiang Author-X-Name-Last: Qi Author-Name: Song Ye Author-X-Name-First: Song Author-X-Name-Last: Ye Author-Name: Guoqiang Xu Author-X-Name-First: Guoqiang Author-X-Name-Last: Xu Author-Name: Zongzhun Zheng Author-X-Name-First: Zongzhun Author-X-Name-Last: Zheng Author-Name: Sen Wang Author-X-Name-First: Sen Author-X-Name-Last: Wang Author-Name: Zeyin Zhang Author-X-Name-First: Zeyin Author-X-Name-Last: Zhang Title: A novel non-uniform optimal control approach for hypersonic cruise vehicle with waypoint and no-fly zone constraints Abstract: Dynamic optimisation for hypersonic cruise vehicle (HCV) is a challenge for the complex nonlinear constraints with waypoint and no-fly zone during a global strike mission. Because the passing time of each waypoint is unknown, it is difficult to guarantee the precision of waypoint constraints on non-collocation points for traditional pseudospectral method. A novel optimal control approach is therefore proposed, where waypoints are firstly transformed into variable optimisation parameters of pseudospectral method, which can satisfy the waypoint constraints completely. Then, a novel non-uniform pseudospectral approach with mesh refinement is further proposed by introducing the adaptive gradient analysis to provide a time grid iteratively. With this refinement, the proposed approach needs fewer computational time to achieve better performance of accuracy compared with traditional uniform refinement pseudospectral method. The proposed approaches are finally applied to a classic HCV problem with waypoints and no-fly zone constraints and compared with other methods reported in literature in detail. The research results validate both the effectiveness and the time saving benefit of the proposed methods. Journal: International Journal of Systems Science Pages: 2704-2724 Issue: 13 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1896050 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1896050 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:13:p:2704-2724 Template-Type: ReDIF-Article 1.0 Author-Name: Zhengqi Wang Author-X-Name-First: Zhengqi Author-X-Name-Last: Wang Author-Name: Xiaoping Liu Author-X-Name-First: Xiaoping Author-X-Name-Last: Liu Author-Name: Wilson Wang Author-X-Name-First: Wilson Author-X-Name-Last: Wang Title: Prescribed performance control with a standard second-order transient response for strict feedback affine nonlinear systems Abstract: In this paper, a novel prescribed performance control method is proposed. The proposed controller features with standard second-order transient performance. By using a standard second-order response performance function and a new error transformation method, the prescribed performance of the system is achieved in a preset range of the performance function. The error transformation method is universal, therefore, it can also be applied to other performance functions. The proposed controller is designed by the backstepping technique based on Lyapunov stability. By using the proposed controller, the asymptotic stability can be achieved. The proposed controller is firstly tested on a simple second-order system, which can be directly controlled by the proposed control method. Then, the proposed controller is tested on a complex quaternion based aircraft attitude stabilisation system. The proposed method cannot be directly applied to the attitude control system, so some advanced derivations are conducted. The simulation results are given for each of the closed-loop systems and some analysis is conducted. Expected results with prescribed performance are illustrated and some comparisons are made. Journal: International Journal of Systems Science Pages: 2677-2688 Issue: 13 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1895358 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1895358 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:13:p:2677-2688 Template-Type: ReDIF-Article 1.0 Author-Name: Guanghao Su Author-X-Name-First: Guanghao Author-X-Name-Last: Su Author-Name: Jinggao Sun Author-X-Name-First: Jinggao Author-X-Name-Last: Sun Author-Name: Zhichen Li Author-X-Name-First: Zhichen Author-X-Name-Last: Li Author-Name: Hongguang Pan Author-X-Name-First: Hongguang Author-X-Name-Last: Pan Title: Data-driven anti-windup compensator synthesis for unknown linear systems with time delay Abstract: Delay and actuator saturation are inevitable in practical control engineering, which may lead to system performance degradation, or even divergence of controlled variables. Combination of Smith predictor (SP) and model recovery anti-windup method is an effective solution to anti-windup synthesis for linear delayed systems, but model-dependent property brings obstacles for the application and promotion. To overcome such a difficulty, a few-shot data-driven approach has been proposed in this paper, and operating data are collected to simultaneously tune feedback controller parameters and estimate internal model applied in SP. Subsequently, the anti-windup compensator is constructed with the estimated model and compensator gain is calculated by using the Lyapunov equation. Finally, the effectiveness of the proposed method is verified through simulations that implemented three typical processes in engineering. Journal: International Journal of Systems Science Pages: 2831-2844 Issue: 13 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1909776 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1909776 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:13:p:2831-2844 Template-Type: ReDIF-Article 1.0 Author-Name: Hicham El Aiss Author-X-Name-First: Hicham Author-X-Name-Last: El Aiss Author-Name: Redouane Chaibi Author-X-Name-First: Redouane Author-X-Name-Last: Chaibi Author-Name: Ahmed El Hajjaji Author-X-Name-First: Ahmed Author-X-Name-Last: El Hajjaji Author-Name: Abdelaziz Hmamed Author-X-Name-First: Abdelaziz Author-X-Name-Last: Hmamed Title: Input–output stability and stabilisation conditions for discrete-time delayed fuzzy systems Abstract: The problem of input–output stability analysis and stabilisation of discrete Takagi–Sugeno (T–S) fuzzy systems with a time-varying delay via an input–output (I–O) approach is investigated in this paper. Using a three-term approximation-based model, a forward subsystem with three constant delays and a feedback subsystem are presented. Two separate input–output stability criteria have been formulated, using an input–output approach and a scaled small gain theorem: a criterion based on the lifting method, a non-quadratic Lyapunov function, and bounded real lemma, another criterion based on a non-quadratic Lyapunov–krasovskii functional approach. Using this result, the input–output stabilisation problem is resolved through the so-called parallel distributed compensation (PDC) scheme. The conditions obtained are presented in terms of linear matrix inequalities (LMIs). Three numerical examples are provided to demonstrate the advantages and merit of the proposed method. Journal: International Journal of Systems Science Pages: 2660-2676 Issue: 13 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1895357 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1895357 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:13:p:2660-2676 Template-Type: ReDIF-Article 1.0 Author-Name: Yushu Yu Author-X-Name-First: Yushu Author-X-Name-Last: Yu Author-Name: Kaidi Wang Author-X-Name-First: Kaidi Author-X-Name-Last: Wang Author-Name: Rong Guo Author-X-Name-First: Rong Author-X-Name-Last: Guo Author-Name: Vincenzo Lippiello Author-X-Name-First: Vincenzo Author-X-Name-Last: Lippiello Author-Name: Xiaojian Yi Author-X-Name-First: Xiaojian Author-X-Name-Last: Yi Title: A framework to design interaction control of aerial slung load systems: transfer from existing flight control of under-actuated aerial vehicles Abstract: This paper establishes a framework within which interaction control is designed for the aerial slung load system composed of an underactuated aerial vehicle, a cable and a load. Instead of developing a new control law for the system, we propose the interaction control scheme by the controllers for under-actuated aerial systems. By selecting the deferentially flat output as the configuration, the equations of motion of the two systems are described in an identical form. The flight control task of the under-actuated aerial vehicle is thus converted into the control of the aerial slung load system. With the help of an admittance filter, the compliant trajectory is generated for the load subject to external interaction force. Moreover, the convergence of the whole system is proved by using the boundedness of the tracking error of vehicle attitude tracking as well as the estimation error of external force. Based on the developed theoretical results, an example is provided to illustrate the design algorithm of interaction controller for the aerial slung load via an existing flight controller directly. The correctness and applicability of the obtained results are demonstrated via the illustrative numerical example. Journal: International Journal of Systems Science Pages: 2845-2857 Issue: 13 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1909777 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1909777 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:13:p:2845-2857 Template-Type: ReDIF-Article 1.0 Author-Name: Yuwei Ren Author-X-Name-First: Yuwei Author-X-Name-Last: Ren Author-Name: Yixian Fang Author-X-Name-First: Yixian Author-X-Name-Last: Fang Author-Name: Ju H. Park Author-X-Name-First: Ju H. Author-X-Name-Last: Park Title: An adaptive neural network collaborative fault-tolerant controller design for non-Gaussian interconnected systems Abstract: Aiming at the sequential signal transmission for an interconnected control system with a non-Gaussian random distribution, we design an Adaptive Neural Network Collaborative Fault-Tolerant Controller (ANN-CFTC). ANN-CFTC adopts adaptive neural networks to directly estimate the unknown couplings and faults. The collaborative fault-tolerant controller is designed by means of a fault-free subsystem to compensate for the fault. This design can better guarantee the stability of the overall system, not of a single subsystem. Simulation results demonstrate the effectiveness of the ANN-CFTC controller design. Journal: International Journal of Systems Science Pages: 2763-2776 Issue: 13 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1904302 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1904302 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:13:p:2763-2776 Template-Type: ReDIF-Article 1.0 Author-Name: Lifan Li Author-X-Name-First: Lifan Author-X-Name-Last: Li Author-Name: Lina Yao Author-X-Name-First: Lina Author-X-Name-Last: Yao Title: Incipient fault prediction based on generalised correntropy filtering for non-Gaussian stochastic systems Abstract: In this paper, the problem of incipient fault prediction is studied for the nonlinear stochastic system with non-Gaussian noises and actuator fault. The incipient fault is expressed as a nonlinear function with two unknown parameters (the occurring time of fault and the incipient fault evolution rate). Based on the generalised correntropy criterion, the fault detection filter is proposed, and then the occurring time of fault can be obtained. Once the fault is detected, the unknown fault evolution rate is estimated by designing a new generalised correntropy filter-based. According to the estimated fault occurrence time and the estimated fault evolution rate, the trend of incipient fault can be predicted. Finally, the simulation results of a single-link robotic flexible manipulator system are given to show that the proposed method is validated. Journal: International Journal of Systems Science Pages: 3035-3043 Issue: 14 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1918281 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1918281 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:14:p:3035-3043 Template-Type: ReDIF-Article 1.0 Author-Name: Sofiane Aberkane Author-X-Name-First: Sofiane Author-X-Name-Last: Aberkane Author-Name: Redouane Kara Author-X-Name-First: Redouane Author-X-Name-Last: Kara Author-Name: Saïd Amari Author-X-Name-First: Saïd Author-X-Name-Last: Amari Title: Modelling and feedback control for a class of Petri Nets with shared resources subject to strict time constraints using Max-plus algebra Abstract: We address a modelling framework and a state feedback control problem of discrete event systems with shared resources using Max-plus algebra. In this paper, we consider the class of Networked Conflicting Timed Event Graphs (NCTEGs), which are timed Petri nets with conflicts, subjected to strict temporal constraints. Firstly, an algebraic formalisation in terms of switching Max-plus linear systems is proposed to describe the dynamic behaviour of a NCTEG. Secondly, closed-loop control laws are calculated to ensure the compliance of these time constraints imposed on a certain number of places. For this, sufficient conditions for the existence of such control laws have been provided. Finally, these theoretical approaches are illustrated by a realistic example of a time-critical railway network crossing system. Journal: International Journal of Systems Science Pages: 3060-3075 Issue: 14 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1919937 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1919937 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:14:p:3060-3075 Template-Type: ReDIF-Article 1.0 Author-Name: Kaiqun Zhu Author-X-Name-First: Kaiqun Author-X-Name-Last: Zhu Author-Name: Jun Hu Author-X-Name-First: Jun Author-X-Name-Last: Hu Author-Name: Yurong Liu Author-X-Name-First: Yurong Author-X-Name-Last: Liu Author-Name: Naif D. Alotaibi Author-X-Name-First: Naif D. Author-X-Name-Last: Alotaibi Author-Name: Fuad E. Alsaadi Author-X-Name-First: Fuad E. Author-X-Name-Last: Alsaadi Title: On ℓ2–ℓ∞ output-feedback control scheduled by stochastic communication protocol for two-dimensional switched systems Abstract: This paper is concerned with the $ \ell _{2} $ ℓ2– $ \ell _{\infty } $ ℓ∞ output-feedback control problem for a class of two-dimensional (2-D) switched systems described by the general Fornasini–Marchesini second model under the stochastic communication protocol (SCP). In a networked 2-D switched control system, the sensors and the controller are typically connected through a shared communication network of limited bandwidth, which is likely to result in data collision problem. To circumvent this network-induced problem, a new SCP is dedicatedly put forward for the 2-D switched system in order to orchestrate the transmission order of sensor nodes, under which only one sensor node obtains the privilege to access the network at each transmission instant. Then, based on the nominal system information compensation, a set of new mode-dependent output-feedback controllers is designed for 2-D switched systems subject to SCP and external disturbances. Moreover, using the average dwell-time approach, sufficient conditions are established to ensure the existence of the desired controllers that guarantee both the exponential mean-square stability and the $ \ell _{2} $ ℓ2– $ \ell _{\infty } $ ℓ∞ performance. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed controller design method. Journal: International Journal of Systems Science Pages: 2961-2976 Issue: 14 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1914768 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1914768 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:14:p:2961-2976 Template-Type: ReDIF-Article 1.0 Author-Name: Ghorbanali Mohammadi Author-X-Name-First: Ghorbanali Author-X-Name-Last: Mohammadi Author-Name: Erfan Moaddabi Author-X-Name-First: Erfan Author-X-Name-Last: Moaddabi Title: Using two metaheuristic algorithms for scheduling parallel machines with sequence dependent set-up times in job shop industries Abstract: Nowadays, scheduling problem in the field of production planning has been considered by many researchers and this issue is used in various industries. Using the same parallel machines reduces the queue of WIP behind the machine and also increases production. Since scheduling problems in large scale are NP-hard, to solve them, metaheuristic algorithms are used. In this paper, Ant colony optimisation and Harmony Search algorithm are used to solve the problem as well as comparison with two other algorithms and finally, their performance is analysed and the efficient algorithm is investigated. Journal: International Journal of Systems Science Pages: 2904-2917 Issue: 14 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1913534 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1913534 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:14:p:2904-2917 Template-Type: ReDIF-Article 1.0 Author-Name: Lei Zou Author-X-Name-First: Lei Author-X-Name-Last: Zou Author-Name: Zidong Wang Author-X-Name-First: Zidong Author-X-Name-Last: Wang Author-Name: Jun Hu Author-X-Name-First: Jun Author-X-Name-Last: Hu Author-Name: Yurong Liu Author-X-Name-First: Yurong Author-X-Name-Last: Liu Author-Name: Xiaohui Liu Author-X-Name-First: Xiaohui Author-X-Name-Last: Liu Title: Communication-protocol-based analysis and synthesis of networked systems: progress, prospects and challenges Abstract: In recent years, the communication-protocol-based synthesis and analysis issues have gained substantial research interest owing mainly to their significance in networked systems. In this work, we survey the control and filtering problems of networked systems under the effects induced by communication protocols. First, we introduce the engineering background of networked systems as well as the theoretical frameworks established to deal with the communication-protocol-based analysis and synthesis problems. Then, recent advances (especially the latest results) are reviewed on the stability analysis issue subject to protocol scheduling. Subsequently, the particular effort is devoted to presenting the latest progress on various communication-protocol-based control and filtering problems according to the characteristics of networked systems (e.g. time-varying nature, random behaviours, types of parameter uncertainties, and kinds of distributed structure). After that, we provide a systematic review of the communication-protocol-based fault diagnosis problems. Finally, some research challenges of communication-protocol-based control and filtering problems are outlined for future research. Journal: International Journal of Systems Science Pages: 3013-3034 Issue: 14 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1917721 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1917721 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:14:p:3013-3034 Template-Type: ReDIF-Article 1.0 Author-Name: Guangchen Zhang Author-X-Name-First: Guangchen Author-X-Name-Last: Zhang Author-Name: Xufei Li Author-X-Name-First: Xufei Author-X-Name-Last: Li Author-Name: Yuanqing Xia Author-X-Name-First: Yuanqing Author-X-Name-Last: Xia Author-Name: Shuping He Author-X-Name-First: Shuping Author-X-Name-Last: He Title: Adaptive sliding mode control for 2D nonlinear Fornasini–Marchesini model subject to quantisation and packet dropouts Abstract: This paper aims to solve the sliding mode control issue for the discrete nonlinear two-dimensional (2D) Fornasini–Marchesini second (FMII) model under the influence of quantisation error and stochastic packet loss. Firstly, an innovative stochastic 2D FMII sliding mode control model is constructed by considering quantisation error and Bernoulli packet loss process. And then we study the stability issue and formulate the corresponding stability criterion by virtue of the 2D sliding mode surface and a 2D sliding mode control law with data compensation. Subsequently, the reachability for the 2D sliding surface is verified by a innovative and executable 2D sliding mode control law. Besides, the article also formulates the adaptive intelligent iterative algorithms for the sliding mode surface gain and 2D sliding mode control algorithm, respectively. To conclude the paper, an example is provided to analyse its SMC problem under quantisation and stochastic packet loss. This example also shows the effectiveness of the theorems and algorithms proposed in this paper. Journal: International Journal of Systems Science Pages: 3001-3012 Issue: 14 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1916642 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1916642 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:14:p:3001-3012 Template-Type: ReDIF-Article 1.0 Author-Name: Meng Zhao Author-X-Name-First: Meng Author-X-Name-Last: Zhao Author-Name: Yugang Niu Author-X-Name-First: Yugang Author-X-Name-Last: Niu Title: Parameter-dependent sliding mode control for Markovian jump systems within finite-time interval: handling randomly occurring actuator faults Abstract: In this article, the finite-time sliding mode control problem is studied for the Markovian jump systems. The uncertainties and actuator faults are randomly occurring and varying, which are simultaneously considered in the controlled systems. In order to characterise the stochastic phenomenon, two independent exponentials distributed random variables are introduced. To implement finite-time control performance, a suitable sliding mode controller is developed, which forces the trajectories of the system onto the specified sliding surface in a given finite-time (possibly short) interval. Besides, sufficient conditions are obtained to guarantee the stochastic finite-time boundedness within the entire finite-time interval, including the reaching and the sliding motion phases. Finally, simulation results demonstrate the feasibility of the proposed control strategy. Journal: International Journal of Systems Science Pages: 2988-3000 Issue: 14 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1916641 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1916641 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:14:p:2988-3000 Template-Type: ReDIF-Article 1.0 Author-Name: Guangren Duan Author-X-Name-First: Guangren Author-X-Name-Last: Duan Title: High-order fully actuated system approaches: part VII. Controllability, stabilisability and parametric designs Abstract: In this paper, high-order fully actuated (HOFA) models with multiple orders for general dynamical control systems are firstly proposed, for which controllers can be easily designed such that the closed-loop systems are constant linear ones with completely assignable eigenstructures. Based on this special feature of the type of HOFA models, controllability of general dynamical control systems is proposed. It is revealed that a general dynamical control system can be represented by a controllable subsystem described by a HOFA model, and an extra uncontrollable one or supplementary one. While a general dynamical control system is called stabilisable if its uncontrollable (autonomous) subsystem does not exist, or is stable in a certain sense. Finally, two parametric design approaches for control of the type of general HOFA models are proposed, which provide all the design degrees of freedom. Several examples, including ones of sub-fully actuated systems, are treated, which demonstrate the effect of the proposed theories. Journal: International Journal of Systems Science Pages: 3091-3114 Issue: 14 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1921307 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1921307 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:14:p:3091-3114 Template-Type: ReDIF-Article 1.0 Author-Name: Lingli Cheng Author-X-Name-First: Lingli Author-X-Name-Last: Cheng Author-Name: Huaicheng Yan Author-X-Name-First: Huaicheng Author-X-Name-Last: Yan Author-Name: Xisheng Zhan Author-X-Name-First: Xisheng Author-X-Name-Last: Zhan Author-Name: Sha Fan Author-X-Name-First: Sha Author-X-Name-Last: Fan Author-Name: Kaibo Shi Author-X-Name-First: Kaibo Author-X-Name-Last: Shi Title: Stability analysis of networked control systems under DoS attacks in frequency domain via game theory strategy Abstract: In this paper, the stability analysis of networked control systems (NCSs) under Denial-of-Service (DoS) attacks is studied. Firstly, the stability analysis for NCSs free of DoS attacks is investigated. Considering the DoS attacks, the game theory is introduced to establish the non-cooperative game between defender and attacker of NCSs. At the same time, the stability of NCSs is analysed in frequency domain, and the signal-to-noise ratio (SNR) expression is given by using spectral decomposition technique and Nash equilibrium (NE) strategy. The packet dropout phenomenon caused by DoS attacks is described by Bernoulli distribution. By virtue of the NE strategy, the stability of NCSs can be optimised. In the obtained results, the influence of the traditional constraints and DoS attacks is illustrated. Finally, some numerical examples are given to show the effectiveness of the derived theoretical results. Journal: International Journal of Systems Science Pages: 2934-2946 Issue: 14 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1913664 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1913664 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:14:p:2934-2946 Template-Type: ReDIF-Article 1.0 Author-Name: Yongchao Liu Author-X-Name-First: Yongchao Author-X-Name-Last: Liu Author-Name: Qidan Zhu Author-X-Name-First: Qidan Author-X-Name-Last: Zhu Title: Adaptive fuzzy event-triggered control for nonstrict-feedback switched stochastic nonlinear systems with state constraints Abstract: Due to the frequent occurrence of random disturbances in practical physical systems, the control design of stochastic systems has a significant application background. This article presents an event-triggered adaptive fuzzy control scheme for nonstrict-feedback switched stochastic nonlinear systems with state constraints. The barrier Lyapunov functions are deployed to make all states maintain the prescribed regions. In addition, the event-triggered mechanism is incorporated into the backstepping framework to mitigate the data transmission. The fuzzy logic systems are exploited to cope with the system uncertainties, and then the adaptive fuzzy control strategy is recursively constructed. The devised event-triggered adaptive fuzzy controller can not only surmount the influence of state constraints but also decrease unnecessary resource consumption. In virtue of common Lyapunov function method, it is shown that all system signals are bounded under switching signals and the predefined constraints are not violated. Finally, the validity of the presented scheme is elucidated by simulation results. Journal: International Journal of Systems Science Pages: 2889-2903 Issue: 14 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1910878 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1910878 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:14:p:2889-2903 Template-Type: ReDIF-Article 1.0 Author-Name: Chen Chen Author-X-Name-First: Chen Author-X-Name-Last: Chen Author-Name: Xiang Wu Author-X-Name-First: Xiang Author-X-Name-Last: Wu Author-Name: Yuming Bo Author-X-Name-First: Yuming Author-X-Name-Last: Bo Author-Name: Yuwei Chen Author-X-Name-First: Yuwei Author-X-Name-Last: Chen Author-Name: Yurong Liu Author-X-Name-First: Yurong Author-X-Name-Last: Liu Author-Name: Fuad E. Alsaadi Author-X-Name-First: Fuad E. Author-X-Name-Last: Alsaadi Title: SARSA in extended Kalman Filter for complex urban environments positioning Abstract: Nowadays, the Inertial Navigation System/Global Navigation Satellite System (INS/GNSS) integrated navigation system is widely used in many applications. The extended Kalman Filter (EKF) is a popular data fusion method for the INS/GNSS integrated navigation system. However, the process and measurement noise covariance matrices of the EKF cannot be modelled accurately due to varied scenes and complicated GNSS signal errors in urban environments, which undermines or deteriorates the EKF's performance. To mitigate noise covariance uncertainties' influence, this paper proposes an adaptive EKF algorithm named SARSA EKF, which enables the State-Action-Reward-State-Action (SARSA) method in EKF to realise the autonomous selection of the noise covariance matrices based on the Q-value. Meanwhile, a pruning algorithm is designed to remove inappropriate selections of noise covariance matrices and enhance the performance. The simulation and field test results indicate that the positioning accuracy of the SARSA EKF is better than the traditional EKF and the Q-learning EKF (QLEKF). The positioning accuracy's mean error of the SARSA EKF decreases by 34.32% and 25.95% compared with the traditional EKF and the QLEKF, respectively. And the positioning accuracy's standard deviation of the SARSA EKF decreases by 41.74% and 32.99% compared with the traditional EKF and the QLEKF, respectively. Journal: International Journal of Systems Science Pages: 3044-3059 Issue: 14 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1919337 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1919337 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:14:p:3044-3059 Template-Type: ReDIF-Article 1.0 Author-Name: Kunting Yu Author-X-Name-First: Kunting Author-X-Name-Last: Yu Author-Name: Yongming Li Author-X-Name-First: Yongming Author-X-Name-Last: Li Title: Fuzzy adaptive event-triggered output feedback control for nonlinear systems with tracking error constrained and unknown dead-zone Abstract: In this paper, an adaptive fuzzy event-triggered output feedback control scheme is studied for a class of non-strict feedback systems with tracking error constrained and unknown dead-zone. Fuzzy logical systems (FLSs) are employed to solve the uncertainties of the controlled plant, and the immeasurable states are estimated by employing the fuzzy observer. In the designed observer, to compensate for the effect of unknown dead-zone by invoking the known designed event-triggered input signal, an adaptive parameter is designed. Furthermore, due to event-triggered control (ETC) places a great burden on the computing space, the dynamic surface control (DSC) technique is used to solve the problem of ‘explosion of complexity’ in each step, and the simplified barrier Lyapunov function (SBLF) is utilised to restrict the tracking error within the prescribed boundaries. Consequently, the designed parameter adaptive laws and event-triggered controller can ensure that all signals of the closed-loop system are semi-globally uniformly ultimately bounded (SGUUB). Ultimately, two numerical simulation examples are provided to illustrate the effectiveness of the proposed event-triggered control theory. Journal: International Journal of Systems Science Pages: 2918-2933 Issue: 14 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1913663 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1913663 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:14:p:2918-2933 Template-Type: ReDIF-Article 1.0 Author-Name: Yufeng Tian Author-X-Name-First: Yufeng Author-X-Name-Last: Tian Author-Name: Yuzhong Wang Author-X-Name-First: Yuzhong Author-X-Name-Last: Wang Author-Name: Limin Ma Author-X-Name-First: Limin Author-X-Name-Last: Ma Author-Name: Junchao Ren Author-X-Name-First: Junchao Author-X-Name-Last: Ren Title: Stochastic admissibility analysis of singular Markovian jump systems via improved techniques Abstract: This paper studies the problem of the stochastic admissibility for singular Markovian jump systems with time-varying delay. By introducing two exponential parameters, a new version of reciprocally convex inequality named exponential type reciprocally convex inequality is proposed, which covers some existing results as its special cases. Based on the second-order B-L inequality, a novel delay-product-type functional is proposed to fully capture the information among system states and time-varying delay. Based on the two improved techniques, a less conservative admissibility condition is obtained in terms of linear matrix inequalities. Two examples are introduced to illustrate the effectiveness of the proposed result. Journal: International Journal of Systems Science Pages: 2977-2987 Issue: 14 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1915409 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1915409 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:14:p:2977-2987 Template-Type: ReDIF-Article 1.0 Author-Name: Yuanyuan Tu Author-X-Name-First: Yuanyuan Author-X-Name-Last: Tu Author-Name: Dayi Wang Author-X-Name-First: Dayi Author-X-Name-Last: Wang Author-Name: Wenbo Li Author-X-Name-First: Wenbo Author-X-Name-Last: Li Author-Name: Maodeng Li Author-X-Name-First: Maodeng Author-X-Name-Last: Li Title: Optimisation of controller reconfiguration instant for spacecraft control systems with additive actuator faults Abstract: This paper aims to propose a method of optimising the controller reconfiguration (CR) instant for spacecraft control systems with additive actuator faults. Due to severe resource constraints, it is ‘expensive’ for spacecraft to handle the faults in orbit. To overcome the constraints, we try to reduce the CR cost from a perspective of time management. The basic idea of this method is to propose a reconfigurability evaluation index to quantify the capability of the fault system in maintaining admissible performance by CR measures, and then to derive the mathematical relationship between the reconfigurability index and four crucial instants during the CR process. Based on this, the CR instant is optimised by maximising the reconfigurability index. Finally, the effectiveness of the proposed method is illustrated through an example. The results show that by enhancing the time management efficiency during the CR process, the limited resources can be economised to some extent. Journal: International Journal of Systems Science Pages: 3076-3090 Issue: 14 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1921306 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1921306 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:14:p:3076-3090 Template-Type: ReDIF-Article 1.0 Author-Name: Yongchao Liu Author-X-Name-First: Yongchao Author-X-Name-Last: Liu Author-Name: Qidan Zhu Author-X-Name-First: Qidan Author-X-Name-Last: Zhu Title: Neural network-based asymptotic tracking control design for stochastic nonlinear systems Abstract: This article is focused on the adaptive neural network (ANN) asymptotic tracking control design for stochastic nonlinear systems with state constraints. The neural networks are utilised to deal with unknown uncertainties. The existence of state constraints and unknown virtual control coefficients (UVCC) bring many difficulties for control synthesis and analysis. With the aid of barrier Lyapunov function, the predefined state constraints are guaranteed. By fusing the lower bounds of UVCC into Lyapunov function construction, a novel ANN asymptotic tracking control method is devised by employing the bound estimation approach and backstepping technique. The presented asymptotic tracking controller can guarantee that the tracking error converges to zero in probability and the state constraints are not violated. The validity of the developed scheme is elucidated by simulation example. Journal: International Journal of Systems Science Pages: 2947-2960 Issue: 14 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1913665 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1913665 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:14:p:2947-2960 Template-Type: ReDIF-Article 1.0 Author-Name: Dengyu Liang Author-X-Name-First: Dengyu Author-X-Name-Last: Liang Author-Name: Chaoli Wang Author-X-Name-First: Chaoli Author-X-Name-Last: Wang Author-Name: Yujing Xu Author-X-Name-First: Yujing Author-X-Name-Last: Xu Author-Name: Yu Li Author-X-Name-First: Yu Author-X-Name-Last: Li Title: Predefined-time leader-following consensus for nonholonomic chained-form multiagent dynamic systems Abstract: In addition to stability and accuracy, rapidity is another important index of the performance of control systems. The current fixed time design cannot meet the requirement for rapidity. The design to meet this requirement must be such that the settling time can be given in advance, that is, the so-called predefined-time design. This paper deals with the predefined-time consensus problem for a class of nonholonomic chained-form multiagent dynamic systems with unknown disturbances. First, a distributed observer for each follower is investigated such that the leader state can be estimated by the followers in a predefined time. Based on this observer, a switching consensus tracking controller is proposed to ensure that the tracking errors converge to zero within a predefined time. Compared with the existing finite-time and fixed-time schemes, the upper bound of the settling time is an directly tunable control parameter, and the settling time can be easily tuned by the control parameter. The stability of the closed-loop system is proved by the Lyapunov method. A simulation example of wheeled mobile robots is performed to demonstrate the effectiveness of the proposed controllers. Journal: International Journal of Systems Science Pages: 2875-2888 Issue: 14 Volume: 52 Year: 2021 Month: 10 X-DOI: 10.1080/00207721.2021.1910877 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1910877 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:14:p:2875-2888 Template-Type: ReDIF-Article 1.0 Author-Name: Hizia Khelifa Author-X-Name-First: Hizia Author-X-Name-Last: Khelifa Author-Name: Ines Ellouze Author-X-Name-First: Ines Author-X-Name-Last: Ellouze Title: Adaptive robust state stabilisation of uncertain non linear time-varying systems with delayed perturbation Abstract: The problem of robust stabilisation for a class of uncertain dynamical systems with multiple delayed state perturbations is considered. In this paper, the upper bound of the nonlinearity and uncertainty, including delayed states, is assumed to be a linear function of some parameters which are still assumed to be unknown and an improved adaptation law with $ \sigma - $ σ−modification is proposed to estimate these unknown gains. Moreover, by making use of the updated values of these unknown bounds, we propose a memoryless state feedback controller for such a class of uncertain time-delay systems. Based on Lyapunov stability theory and Lyapunov-Krasovskii functional, it is shown that the closed-loop dynamical system resulting from the proposed adaptive robust control schemes in the presence of multiple delayed state perturbations is globally uniformly practically exponentially stable. Finally, a numerical example is given to demonstrate the validity of the results. Journal: International Journal of Systems Science Pages: 3241-3253 Issue: 15 Volume: 52 Year: 2021 Month: 11 X-DOI: 10.1080/00207721.2021.1925374 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1925374 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:15:p:3241-3253 Template-Type: ReDIF-Article 1.0 Author-Name: Jiange Wang Author-X-Name-First: Jiange Author-X-Name-Last: Wang Author-Name: Xiaoyuan Luo Author-X-Name-First: Xiaoyuan Author-X-Name-Last: Luo Author-Name: Xiaolei Li Author-X-Name-First: Xiaolei Author-X-Name-Last: Li Author-Name: Xinping Guan Author-X-Name-First: Xinping Author-X-Name-Last: Guan Title: Robust predefined-time platoon control of networked vehicles with uncertain disturbances Abstract: In this paper, we consider the specified-time platoon control for the networked vehicles modelled by the third-order dynamics with uncertain external bounded disturbance. The vehicles are subjected to disturbance and parameter uncertainties. To ensure the platoon can converge within a predefined time, a novel disturbance observer with a time-varying dynamic gain is proposed. By the time transformation approach, the disturbance observer is proved to be uniformly ultimate bounded (UUB) stable in a specified time. The time-varying dynamic gain is also applied to design the novel specified-time controller for the vehicle platoon and rigorous proof is presented based on Lyapunov stability. Under the proposed disturbance observer and controller, the vehicle platoon can be stabilised within the predefined time without depending on any system parameters and initial conditions. Finally, some comparison simulation results are given to verify the effectiveness of the proposed protocols. Journal: International Journal of Systems Science Pages: 3128-3140 Issue: 15 Volume: 52 Year: 2021 Month: 11 X-DOI: 10.1080/00207721.2021.1921309 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1921309 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:15:p:3128-3140 Template-Type: ReDIF-Article 1.0 Author-Name: Daikun Chao Author-X-Name-First: Daikun Author-X-Name-Last: Chao Author-Name: Ruiyun Qi Author-X-Name-First: Ruiyun Author-X-Name-Last: Qi Author-Name: Bin Jiang Author-X-Name-First: Bin Author-X-Name-Last: Jiang Title: Constrained fault-tolerant control for hypersonic vehicle subject to actuator failure and with unmeasurable states Abstract: In this article, a novel constrained fault-tolerant control (FTC) scheme is proposed to solve the attitude tracking control problem of the hypersonic vehicle (HSV) subject to multiple constraints, actuator faults, and disturbances. The reentry model of HSV with state constraints and the fault model of aerodynamic surface considering surface deflection constraints are constructed firstly. The adaptive robust unscented Kalman filter (ARUKF)-based estimation algorithm is designed, which can quickly estimate state variables, stuck faults, partial loss of effectiveness (PLOE) faults, and disturbances at the same time. By utilising the improved model predictive static programming (MPSP) technique, the complexity of processing multiple constraints and the computation are significantly reduced. Moreover, the closed-loop control system stability of HSV is analysed and the simulation results under two fault cases are given to demonstrate the effectiveness of the presented FTC scheme. Journal: International Journal of Systems Science Pages: 3296-3322 Issue: 15 Volume: 52 Year: 2021 Month: 11 X-DOI: 10.1080/00207721.2021.1928327 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1928327 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:15:p:3296-3322 Template-Type: ReDIF-Article 1.0 Author-Name: Magdi S. Mahmoud Author-X-Name-First: Magdi S. Author-X-Name-Last: Mahmoud Author-Name: Muhammad Maaruf Author-X-Name-First: Muhammad Author-X-Name-Last: Maaruf Title: Prescribed performance output feedback synchronisation control of bilateral teleoperation system with actuator nonlinearities Abstract: This work investigates output feedback synchronisation control of uncertain bilateral teleoperation system with synchronisation error constraints, time-varying delay, actuator backlash-like hysteresis and unknown control direction. The constrained system is transformed into unconstrained one via the output error transformation. A Prescribed-Performance Function (PPF) is proposed to ensure that all the outputs with predefined transient and steady states' performances converge to a predefined set. In addition, a radial basis function neural network (RBFNN) is utilised to estimate the uncertain dynamics. Moreover, a Nussbaum-type function is introduced to tackle the loss of control direction due to the actuator backlash-like hysteresis. By Lyapunov stability analysis, all the closed-loop signals are guaranteed to converge to a small neighbourhood of the origin. Finally, simulation results are provided to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 3115-3127 Issue: 15 Volume: 52 Year: 2021 Month: 11 X-DOI: 10.1080/00207721.2021.1921308 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1921308 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:15:p:3115-3127 Template-Type: ReDIF-Article 1.0 Author-Name: Miao Yu Author-X-Name-First: Miao Author-X-Name-Last: Yu Author-Name: Ge Guo Author-X-Name-First: Ge Author-X-Name-Last: Guo Author-Name: Jianchang Liu Author-X-Name-First: Jianchang Author-X-Name-Last: Liu Title: Closed-loop delta-operator-based subspace identification for continuous-time systems utilising the parity space Abstract: This paper presents a closed-loop delta-operator-based subspace identification method for continuous-time systems utilising the parity space. The continuous-time systems are transformed to the delta-operator-based state space models which converge to the original systems with the sampling period going to zero. Instead of using the observable subspace, we focus on the parity space which is commonly employed in fault detection. The system is estimated consistently by the instrumental variable method and principal component analysis, which solves the identification problems of biased results as the system operates in closed-loop due to the feedback controller. The effectiveness of the proposed method is illustrated by simulation results. Journal: International Journal of Systems Science Pages: 3323-3334 Issue: 15 Volume: 52 Year: 2021 Month: 11 X-DOI: 10.1080/00207721.2021.1928328 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1928328 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:15:p:3323-3334 Template-Type: ReDIF-Article 1.0 Author-Name: Xin Wang Author-X-Name-First: Xin Author-X-Name-Last: Wang Author-Name: Huilan Yang Author-X-Name-First: Huilan Author-X-Name-Last: Yang Author-Name: Shouming Zhong Author-X-Name-First: Shouming Author-X-Name-Last: Zhong Title: Reliable asynchronous control for delayed multi-agent systems with stochastic faults and switching topologies Abstract: The issue of exponential consensus for delayed multi-agent systems (MASs) with stochastic faults and switching topologies is addressed in this work. In contrast with the existing relative works on MASs with a fixed communication topology, the topological graph is governed by an uncertain Markov chain, where the restrictions on transition rates (TRs) of Markov switching topologies are loose, which may be partially known or completely unknown. Moreover, a reliable asynchronous control protocol with the stochastic failure behaviour of the actuator on account of the relative information of neighbouring agents is devised. Relaxation of criterions with respect to the consensus of delayed MASs based on the Lyapunov methodology, Wirtinger's inequality and an improved reciprocally convex combination strategy are derived. An unmanned aerial vehicle (UAV) is presented to demonstrate the superiority and applicability of the proposed method. Journal: International Journal of Systems Science Pages: 3214-3225 Issue: 15 Volume: 52 Year: 2021 Month: 11 X-DOI: 10.1080/00207721.2021.1924308 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1924308 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:15:p:3214-3225 Template-Type: ReDIF-Article 1.0 Author-Name: Celeste Rodríguez-Carreón Author-X-Name-First: Celeste Author-X-Name-Last: Rodríguez-Carreón Author-Name: Manuel Jiménez-Lizárraga Author-X-Name-First: Manuel Author-X-Name-Last: Jiménez-Lizárraga Author-Name: César Emilio Villarreal Author-X-Name-First: César Emilio Author-X-Name-Last: Villarreal Author-Name: Ignacio Quiroz-Vázquez Author-X-Name-First: Ignacio Author-X-Name-Last: Quiroz-Vázquez Title: Mini-max incentive strategy for leader–follower games under uncertain dynamics Abstract: This paper studies the problem of designing an incentive strategy for a leader–follower dynamic game affected by some sort of uncertainties. As is traditionally understood in the standard theory of incentives, the leader has complete knowledge of the game parameters, including the follower's performance index. So then he can compute the strategy that will lead the game to the global optimum that is favourable for him. Most of the current work is devoted to this situation. Nevertheless, such an assumption is unrealistic. This paper proposes an incentive scheme in which the game's dynamic depends on an unknown value that belongs to a finite set. The solution of the incentive strategy is computed in terms of the worst-case scenario, of the team's optimal solution. Based on the Robust Maximum Principle, the new incentive is presented in the form of a mini-max feedback control. Two numerical examples illustrate the effectiveness of the approach. Journal: International Journal of Systems Science Pages: 3159-3175 Issue: 15 Volume: 52 Year: 2021 Month: 11 X-DOI: 10.1080/00207721.2021.1922951 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1922951 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:15:p:3159-3175 Template-Type: ReDIF-Article 1.0 Author-Name: Cheng-Cheng Ma Author-X-Name-First: Cheng-Cheng Author-X-Name-Last: Ma Author-Name: Bing Sun Author-X-Name-First: Bing Author-X-Name-Last: Sun Title: Pontryagin's maximum principle for optimal control of an extrusion process Abstract: In this article, two optimal control problems of an extrusion process are considered in the isothermal case. The controlled system consists of a hyperbolic partial differential equation coupled with a nonlinear ordinary differential equation. Equipped with two control variables, the system describes the evolution of a moving interface between a fully filled zone and a partially filled zone. The Dubovitskii and Milyutin functional analytical approach is adopted in the investigation of the Pontryagin maximum principle for the optimal control problem. In both fixed and free final horizon cases, the corresponding necessary optimality conditions are, respectively, established. A remark is then made for illustrating the applicability of the obtained results. Journal: International Journal of Systems Science Pages: 3226-3240 Issue: 15 Volume: 52 Year: 2021 Month: 11 X-DOI: 10.1080/00207721.2021.1924309 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1924309 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:15:p:3226-3240 Template-Type: ReDIF-Article 1.0 Author-Name: Yiwen Qi Author-X-Name-First: Yiwen Author-X-Name-Last: Qi Author-Name: Wenke Yu Author-X-Name-First: Wenke Author-X-Name-Last: Yu Author-Name: Ziyang Liu Author-X-Name-First: Ziyang Author-X-Name-Last: Liu Author-Name: Ning Xing Author-X-Name-First: Ning Author-X-Name-Last: Xing Title: Event-triggered model predictive control for switched systems: a memory-based anti-attack strategy Abstract: This paper investigates $ H_{\infty} $ H∞ event-triggered model predictive control (MPC) problem for switched systems. In network transmission processes, two problems (including limited resources and denial of service (DoS) attacks) profoundly affect the usability of control systems. Especially, DoS attacks that occur in feedback channel can make the systems open-loop. In this regard, a novel memory-based anti-attack strategy is presented, which is implemented by adding a cache function to network controllers. An event-triggering mechanism is adopted to improve network resource utilisation and reduce the probability of transmission data being attacked. MPC technology is employed for network controllers, which optimises the control input and state by minimising an upper bound of a quadratic cost function. Then, closed-loop switched system is established, and the coupling relationship between switching and attacking is clearly discussed. Based on average dwell time approach, $ H_{\infty} $ H∞ performance is analysed. The co-design of MPC controllers and event-triggering matrices are given by solving linear matrix inequalities (LMIs). Finally, a numerical example is provided to demonstrate the feasibility. Journal: International Journal of Systems Science Pages: 3280-3295 Issue: 15 Volume: 52 Year: 2021 Month: 11 X-DOI: 10.1080/00207721.2021.1925993 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1925993 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:15:p:3280-3295 Template-Type: ReDIF-Article 1.0 Author-Name: Sang-Young Oh Author-X-Name-First: Sang-Young Author-X-Name-Last: Oh Author-Name: Ho-Lim Choi Author-X-Name-First: Ho-Lim Author-X-Name-Last: Choi Title: Global exponential stabilisation of nonlinear systems by reduced-order observer-based output feedback control via matrix inequality approach Abstract: In this paper, we consider the global exponential stabilisation problem by output feedback for a class of nonlinear systems with the extended structure of nonlinearity over the existing control scheme. The new feature is that we present a newly designed reduced-order observer-based output feedback controller with a gain-scaling factor. In our proposed method, we provide more flexibility in the selection of control parameters by utilising a matrix inequality approach under the extended structure of nonlinearity. Using examples, we illustrate the improved results of the proposed control scheme over the existing control scheme. Journal: International Journal of Systems Science Pages: 3266-3279 Issue: 15 Volume: 52 Year: 2021 Month: 11 X-DOI: 10.1080/00207721.2021.1925992 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1925992 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:15:p:3266-3279 Template-Type: ReDIF-Article 1.0 Author-Name: Yuanbo Su Author-X-Name-First: Yuanbo Author-X-Name-Last: Su Author-Name: Hong Xue Author-X-Name-First: Hong Author-X-Name-Last: Xue Author-Name: Yan Wang Author-X-Name-First: Yan Author-X-Name-Last: Wang Author-Name: Yingnan Pan Author-X-Name-First: Yingnan Author-X-Name-Last: Pan Title: Command filter-based event-triggered adaptive fixed-time output-feedback control for large-scale nonlinear systems Abstract: This paper studies the issue of event-triggered adaptive fixed-time control for uncertain large-scale nonlinear systems. A state observer is employed to estimate unknown states. By combining the technologies of command filter and backstepping control, a command filtered-based fixed-time adaptive control approach is proposed, which can cope with the issue of ‘complexity explosion’ in the backstepping design scheme. Meanwhile, a novel continuous hyperbolic tangent function is designed to handle the difficulty of fixed-time stability analysis with output-feedback control form, where two types of observer errors are needed in the designed Lyapunov function to achieve the fixed-time stability. Further, based on the event-triggered strategy, an event-triggered fixed-time adaptive controller is designed. Based on Lyapunov stability theory, it is proven that all signals of the closed-loop system are bounded. Finally, the effectiveness of the presented approach is validated by a simulation. Journal: International Journal of Systems Science Pages: 3190-3205 Issue: 15 Volume: 52 Year: 2021 Month: 11 X-DOI: 10.1080/00207721.2021.1922953 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1922953 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:15:p:3190-3205 Template-Type: ReDIF-Article 1.0 Author-Name: Zhijie Li Author-X-Name-First: Zhijie Author-X-Name-Last: Li Author-Name: Jie Ding Author-X-Name-First: Jie Author-X-Name-Last: Ding Author-Name: Min Wu Author-X-Name-First: Min Author-X-Name-Last: Wu Author-Name: Jinxing Lin Author-X-Name-First: Jinxing Author-X-Name-Last: Lin Title: Discrete fractional order PID controller design for nonlinear systems Abstract: In this study, a discrete fractional order PID controller for nonlinear systems is proposed. U-model is firstly employed to transform nonlinear systems into a linear-like model and model complexity is then degraded and easier for controller design. Then, a new discrete fractional order PID control law in difference equation is presented which takes advantage of two more adjustable parameters. Finally, robust stability of the control law is analysed. Both deterministic and stochastic examples are provided to illustrate the effectiveness and superiority of the proposed controller. Journal: International Journal of Systems Science Pages: 3206-3213 Issue: 15 Volume: 52 Year: 2021 Month: 11 X-DOI: 10.1080/00207721.2021.1924307 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1924307 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:15:p:3206-3213 Template-Type: ReDIF-Article 1.0 Author-Name: Zhiyu Duan Author-X-Name-First: Zhiyu Author-X-Name-Last: Duan Author-Name: Lingyu Kong Author-X-Name-First: Lingyu Author-X-Name-Last: Kong Author-Name: Debao Fan Author-X-Name-First: Debao Author-X-Name-Last: Fan Author-Name: Xianfu Zhang Author-X-Name-First: Xianfu Author-X-Name-Last: Zhang Title: Adaptive tracking control of uncertain large-scale nonlinear time-delay systems with input saturation Abstract: This paper investigates the adaptive tracking control problem of uncertain large-scale nonlinear time-delay systems with input saturation. Unknown constants and continuous functions with respect to output or delayed output are allowed in the nonlinear interconnected functions. The dynamic gain control technique is used to study the tracking control problem of considered system, which simplifies design process and form of controller. By introducing a full-order state observer and three dynamic equations, output feedback tracking control scheme is constructed to ensure that all signals of the closed-loop system are globally uniformly ultimately bounded (GUUB). In addition, the tracking error can converge to a small neighbourhood around the origin by selecting appropriate parameters. Finally, a practical example is presented to illustrate the feasibility of the proposed control scheme. Journal: International Journal of Systems Science Pages: 3254-3265 Issue: 15 Volume: 52 Year: 2021 Month: 11 X-DOI: 10.1080/00207721.2021.1925773 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1925773 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:15:p:3254-3265 Template-Type: ReDIF-Article 1.0 Author-Name: Xu Cai Author-X-Name-First: Xu Author-X-Name-Last: Cai Author-Name: Xuyang Lou Author-X-Name-First: Xuyang Author-X-Name-Last: Lou Author-Name: Wei Wu Author-X-Name-First: Wei Author-X-Name-Last: Wu Title: Event-triggered controller design for linear systems with saturated input and bounded disturbance Abstract: This paper deals with the stabilisation problem of linear systems subject to saturated input and bounded disturbance via event-triggered control strategy. In a hybrid systems framework, both a state feedback law and a static output feedback law are proposed to design the event-triggered controllers, which provide solutions to the event-triggered control collaborative design problem. For the case of using static output feedback, an iterative linear matrix inequality algorithm is proposed to obtain the feedback gain. In addition, the local uniform ultimate boundedness of the closed-loop system is ensured. Finally, two examples are given to illustrate the effectiveness of the proposed controllers. Journal: International Journal of Systems Science Pages: 3141-3158 Issue: 15 Volume: 52 Year: 2021 Month: 11 X-DOI: 10.1080/00207721.2021.1922950 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1922950 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:15:p:3141-3158 Template-Type: ReDIF-Article 1.0 Author-Name: Yu Wang Author-X-Name-First: Yu Author-X-Name-Last: Wang Author-Name: Haoping Wang Author-X-Name-First: Haoping Author-X-Name-Last: Wang Author-Name: Yang Tian Author-X-Name-First: Yang Author-X-Name-Last: Tian Title: Nonlinear disturbance observer based flexible-boundary prescribed performance control for a lower limb exoskeleton Abstract: In this article, a nonlinear disturbance observer based flexible-boundary prescribed performance controller (NDOPPC) is proposed to achieve outstanding transient and steady-state tracking performance for a lower limb exoskeleton. To estimate and compensate the lumped disturbance consisting of unmodelled dynamics and interaction torques applied by the wearer, a nonlinear disturbance observer (NDO) is utilised. The prescribed performance of the trajectory tracking of the exoskeleton is guaranteed by constraining the tracking error between the preset upper and lower boundaries. The boundaries of the proposed NDOPPC can be asymmetric functions in various forms, which increases the flexibility of the prescribed performance. The proposed NDOPPC is designed based on backstepping and the stability is analysed with Lyapunov theorem. Comparative simulations have been conducted with MATLAB/Simulink. Compared to computed torque controller (CTC) and nonlinear disturbance observer based computed torque controller (NDOCTC), the obtained results of comparative simulations demonstrate the effectiveness and superiority of NDOPPC. Finally, different types of boundaries are considered to demonstrate the flexibility of the proposed NDOPPC. Journal: International Journal of Systems Science Pages: 3176-3189 Issue: 15 Volume: 52 Year: 2021 Month: 11 X-DOI: 10.1080/00207721.2021.1922952 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1922952 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:15:p:3176-3189 Template-Type: ReDIF-Article 1.0 Author-Name: Yingying Ge Author-X-Name-First: Yingying Author-X-Name-Last: Ge Author-Name: Xikui Liu Author-X-Name-First: Xikui Author-X-Name-Last: Liu Author-Name: Yan Li Author-X-Name-First: Yan Author-X-Name-Last: Li Title: Optimal control for unknown mean-field discrete-time system based on Q-Learning Abstract: Solving the optimal mean-field control problem usually requires complete system information. In this paper, a Q-learning algorithm is discussed to solve the optimal control problem of the unknown mean-field discrete-time stochastic system. First, through the corresponding transformation, we turn the stochastic mean-field control problem into a deterministic problem. Second, the H matrix is obtained through Q-function, and the control strategy relies only on the H matrix. Therefore, solving H matrix is equivalent to solving the mean-field optimal control. The proposed Q-learning method iteratively solves H matrix and gain matrix according to input system state information, without the need for system parameter knowledge. Next, it is proved that the control matrix sequence obtained by Q-learning converge to the optimal control, which shows theoretical feasibility of the Q-learning. Finally, two simulation cases verify the effectiveness of Q-learning algorithm. Journal: International Journal of Systems Science Pages: 3335-3349 Issue: 15 Volume: 52 Year: 2021 Month: 11 X-DOI: 10.1080/00207721.2021.1929554 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1929554 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:15:p:3335-3349 Template-Type: ReDIF-Article 1.0 Author-Name: Feng Yu Author-X-Name-First: Feng Author-X-Name-Last: Yu Author-Name: Xia Hong Author-X-Name-First: Xia Author-X-Name-Last: Hong Title: Parameter tracking of time-varying Hammerstein-Wiener systems Abstract: A two-stage identification algorithm is introduced for tracking the parameters in time-varying Hammerstein-Wiener systems. The Kalman filtering algorithm and parameter separation technique are employed in the proposed algorithm. The convergence analysis of this two-stage algorithm is provided. It is shown that the proposed algorithm can guarantee the boundedness of the parameter estimation error. Four simulation examples, including a practical system application of electric arc furnace, have been employed to validate the effectiveness of the proposed approaches, for a range of simulated time-varying characteristics. Journal: International Journal of Systems Science Pages: 3478-3492 Issue: 16 Volume: 52 Year: 2021 Month: 12 X-DOI: 10.1080/00207721.2021.1931546 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1931546 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:16:p:3478-3492 Template-Type: ReDIF-Article 1.0 Author-Name: Lufeng Zhang Author-X-Name-First: Lufeng Author-X-Name-Last: Zhang Author-Name: Xuemei Ren Author-X-Name-First: Xuemei Author-X-Name-Last: Ren Author-Name: Qing Guo Author-X-Name-First: Qing Author-X-Name-Last: Guo Title: Balance and velocity control of a novel spherical robot with structural asymmetry Abstract: This paper proposes a novel spherical robot design. The pendulum of this robot is actuated by the step motor with cable being the transmission mechanism. Compared to the existing spherical robots, this design concept can reduce the influence of the gear backlash and pendulum vibrations. Until now, few published results have presented rigorous analysis for the asymmetry of the spherical robot system. In order to solve this issue, asymmetry is considered when the dynamic model of the spherical robot is established in our paper and then the system is decoupled into two underactuated subsystems. The relationship between the two subsystems is explored by projection method. Finally, we proposed adaptive hierarchical sliding mode controller (AHSMC), which is a combination of hierarchical sliding mode (HSMC) and adaptive laws for the eccentric moment/resistance torque estimation. The simulated and experimental results were provided to verify the proposed method for balance and velocity control. Journal: International Journal of Systems Science Pages: 3556-3568 Issue: 16 Volume: 52 Year: 2021 Month: 12 X-DOI: 10.1080/00207721.2021.1933253 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1933253 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:16:p:3556-3568 Template-Type: ReDIF-Article 1.0 Author-Name: Hansheng Wu Author-X-Name-First: Hansheng Author-X-Name-Last: Wu Title: Decentralised robust tracking and model following for uncertain large-scale interconnected systems with time-varying delays and dead-zone inputs Abstract: The problem of decentralised robust tracking and model following is investigated for a class of uncertain large-scale interconnected systems with both any time-varying delays and any dead-zone input constraints. By combining an adaptive approach with a multiply integral inequality proposed recently in the control literature, a new design method is developed so that (i) the designed decentralised robust tracking control schemes are direct, i.e. not the complicated ones composed of two parts, which can overwhelm the dead-zone input constraints; (ii) it is unnecessary to know any information on the characteristic parameters of dead-zone functions and the time-varying delays, which makes the decentralised robust tracking control rather simple. It is also proved that the local tracking error between the output of each actual subsystem with delays and input constraints and the dynamical signals of the corresponding local reference model is uniformly exponentially bounded. Finally, a numerical example is also given to describe the design procedure and the simulations of this numerical example are implemented to demonstrate the validity of the theoretical results. Journal: International Journal of Systems Science Pages: 3569-3581 Issue: 16 Volume: 52 Year: 2021 Month: 12 X-DOI: 10.1080/00207721.2021.1933254 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1933254 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:16:p:3569-3581 Template-Type: ReDIF-Article 1.0 Author-Name: Hang Geng Author-X-Name-First: Hang Author-X-Name-Last: Geng Author-Name: Hongjian Liu Author-X-Name-First: Hongjian Author-X-Name-Last: Liu Author-Name: Lifeng Ma Author-X-Name-First: Lifeng Author-X-Name-Last: Ma Author-Name: Xiaojian Yi Author-X-Name-First: Xiaojian Author-X-Name-Last: Yi Title: Multi-sensor filtering fusion meets censored measurements under a constrained network environment: advances, challenges and prospects Abstract: Multi-sensor filtering fusion (MSFF) is a fascinating subject in the realm of networked filtering due to its advantage of effectively integrating sensor outputs from multiple sources. Owing to the massive usage of low-cost commercial and off-the-shelf sensors, MSFF could be easily prone to a very special kind of measurement nonlinearity named censored measurements. Meanwhile, taking into account the limited network resources, data transmission in a networked environment is unavoidably subject to communication constraints. As such, it would be quite interesting to examine the impacts from both censored measurements and communication constraints onto MSFF and moreover, develop certain suitable MSFF schemes to accurately reconstruct system states of interest. In this paper, we aim to provide a bibliographical review on MSFF problems with censored measurements under a constrained network environment. Canonical MSFF approaches are first surveyed and subsequently, the mathematical models and handling strategies of the censored measurements are systematically recaped. Later on, typical communication constraints are introduced in detail according to their respective engineering backgrounds, occurring manners and modelling strategies. In addition, latest MSFF progress is discussed at great length and the underlying challenges are also clearly highlighted. Finally, general concluding remarks along with possible future directions are explicitly pointed out. Journal: International Journal of Systems Science Pages: 3410-3436 Issue: 16 Volume: 52 Year: 2021 Month: 12 X-DOI: 10.1080/00207721.2021.2005178 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2005178 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:16:p:3410-3436 Template-Type: ReDIF-Article 1.0 Author-Name: Jun Hu Author-X-Name-First: Jun Author-X-Name-Last: Hu Author-Name: Chaoqing Jia Author-X-Name-First: Chaoqing Author-X-Name-Last: Jia Author-Name: Hongjian Liu Author-X-Name-First: Hongjian Author-X-Name-Last: Liu Author-Name: Xiaojian Yi Author-X-Name-First: Xiaojian Author-X-Name-Last: Yi Author-Name: Yurong Liu Author-X-Name-First: Yurong Author-X-Name-Last: Liu Title: A survey on state estimation of complex dynamical networks Abstract: The analysis and synthesis issues have gained widespread attention for complex dynamical networks (CDNs) over the past few years. Accordingly, some challenges including protocol-based scheduling, security vulnerability, limited communication resources as well as network-induced phenomena have to be handled by developing effective analysis and design approaches. In this paper, we make an attempt to review the latest state estimation schemes for CDNs especially those over the networked environment. Firstly, the engineering background and the current attractive topics in regard to CDNs are presented. Subsequently, we provide a review of several types of state estimation methods under different performance indices, for example, $ H_\infty $ H∞ state estimation, set-membership state estimation, optimal state estimation and fault estimation. Next, particular effort is devoted to show the up-to-date progresses on the protocol-based state estimation and compensation-based state estimation approaches for CDNs. Finally, some challenging problems are outlined regarding the future research to promote the theoretical developments in related fields. Journal: International Journal of Systems Science Pages: 3351-3367 Issue: 16 Volume: 52 Year: 2021 Month: 12 X-DOI: 10.1080/00207721.2021.1995528 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1995528 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:16:p:3351-3367 Template-Type: ReDIF-Article 1.0 Author-Name: V. Vafaei Author-X-Name-First: V. Author-X-Name-Last: Vafaei Author-Name: A. Jodayree Akbarfam Author-X-Name-First: A. Author-X-Name-Last: Jodayree Akbarfam Author-Name: H. Kheiri Author-X-Name-First: H. Author-X-Name-Last: Kheiri Title: A new synchronisation method of fractional-order chaotic systems with distinct orders and dimensions and its application in secure communication Abstract: In this paper, an adaptive generalised function projective synchronisation scheme of fractional-order chaotic systems with different dimensions and orders and fully unknown parameters is presented. On the basis of the Lyapunov method of fractional-order systems, a stability theorem of the fractional-order system with non-identical orders is proven. Using the fractional-order controller and adaptive control theory, sufficient conditions for synchronisation and unknown parameters update rules are obtained. Theoretical analysis and numerical simulations are provided to verify the validity of the proposed scheme. Moreover, synchronisation results are applied to secure communication via modified chaotic masking (MCM) method. The unpredictability of the scaling function matrix and the use of fractional-order systems with different orders can increase the security of the cryptosystem. The security analysis shows that the introduced algorithm has large key space, high sensitivity to encryption keys, higher security and the acceptable encryption speed. Journal: International Journal of Systems Science Pages: 3437-3450 Issue: 16 Volume: 52 Year: 2021 Month: 12 X-DOI: 10.1080/00207721.2020.1836282 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1836282 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:16:p:3437-3450 Template-Type: ReDIF-Article 1.0 Author-Name: Xin-Chun Jia Author-X-Name-First: Xin-Chun Author-X-Name-Last: Jia Title: Resource-efficient and secure distributed state estimation over wireless sensor networks: a survey Abstract: Wireless sensor networks (WSNs) are extensively adopted for remote monitoring and tracking scenarios, such as battlefield surveillance, target detection and tracking, traffic condition detection, power system monitoring and health monitoring, thanks to their promising benefits in terms of flexibility, reliability and cost-effectiveness. However, some critical WSN applications, such as intelligent transportation and smart grid monitoring, have stringent requirements in terms of resource budget and security. This paper provides a survey of the trending resource-efficient and secure techniques currently used with distributed estimation algorithms over WSNs. Recent progresses on these two major research trends are reviewed, respectively, for WSN-based monitoring systems. More specifically, the first part of the survey covers the state-of-the-art in resource-efficient distributed state estimation. The main results along this line of research are classified into protocol-based scheduling, static event-triggered scheduling, dynamic event-triggered scheduling and stochastic event-triggered scheduling. Then, in the second part, the latest results on secure distributed state estimation are reviewed, where secure distributed state estimation under data integrity attacks and data available attacks, and distributed attack detection are examined, respectively. Finally, several challenging issues in the context of distributed state estimation are discussed for potential future research. Journal: International Journal of Systems Science Pages: 3368-3389 Issue: 16 Volume: 52 Year: 2021 Month: 12 X-DOI: 10.1080/00207721.2021.1998843 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1998843 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:16:p:3368-3389 Template-Type: ReDIF-Article 1.0 Author-Name: Massoud Hemmasian Ettefagh Author-X-Name-First: Massoud Author-X-Name-Last: Hemmasian Ettefagh Author-Name: Jose De Dona Author-X-Name-First: Jose Author-X-Name-Last: De Dona Author-Name: Farzad Towhidkhah Author-X-Name-First: Farzad Author-X-Name-Last: Towhidkhah Author-Name: Mahyar Naraghi Author-X-Name-First: Mahyar Author-X-Name-Last: Naraghi Title: Adaptive-pole selection in the Laguerre parametrisation of model predictive control to achieve high performance Abstract: In this paper, we study an adaptive method to select online the pole value for a Laguerre scheme in Model Predictive Control (MPC) that yields high performance. It has been observed that, while still using a small numbers of decision variables, the location of the pole affects the closed-loop behaviour significantly. In the present paper, an adaptive algorithm is developed to systematically improve the closed-loop performance of the system as well as the volume of the feasible region and robust feasible region in the case of using a small numbers of decision variables. In order to do this, a method to select a pole value that yields high performance for the initial condition of the system is proposed. The method generates a lookup table of the high-performance pole value obtained through off-line computations. Then, the table is used to assign the pole in the online process. Closed-loop stability for the scheme is established using sub-optimality arguments. Simulations illustrate the suggested method's effectiveness to achieve a balance between performance, optimality, and computational load. Journal: International Journal of Systems Science Pages: 3539-3555 Issue: 16 Volume: 52 Year: 2021 Month: 12 X-DOI: 10.1080/00207721.2021.1933252 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1933252 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:16:p:3539-3555 Template-Type: ReDIF-Article 1.0 Author-Name: Guoyan Cao Author-X-Name-First: Guoyan Author-X-Name-Last: Cao Author-Name: Karolos M. Grigoriadis Author-X-Name-First: Karolos M. Author-X-Name-Last: Grigoriadis Author-Name: Puchen Liu Author-X-Name-First: Puchen Author-X-Name-Last: Liu Title: Control synthesis of reaction–diffusion systems with varying parameters and varying delays Abstract: In this paper, the analysis and state-feedback control synthesis for reaction–diffusion linear parameter-varying (LPV) systems with time delays and Robin boundary conditions are addressed. We explore the stability and $ \mathcal {L}_2 $ L2 gain performance for reaction–diffusion LPV systems using parameter-dependent Lyapunov functionals. Both analysis and synthesis conditions are formulated in terms of linear matrix inequalities (LMIs) that can be solved via efficient convex optimisation solvers. A numerical example of automated blood pressure regulation via vasoactive drug infusion is explored to demonstrate the effectiveness of the proposed state-feedback control synthesis. Journal: International Journal of Systems Science Pages: 3451-3465 Issue: 16 Volume: 52 Year: 2021 Month: 12 X-DOI: 10.1080/00207721.2021.1929555 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1929555 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:16:p:3451-3465 Template-Type: ReDIF-Article 1.0 Author-Name: Fei Shen Author-X-Name-First: Fei Author-X-Name-Last: Shen Author-Name: Xinjun Wang Author-X-Name-First: Xinjun Author-X-Name-Last: Wang Author-Name: Xinghui Yin Author-X-Name-First: Xinghui Author-X-Name-Last: Yin Title: Adaptive neural output-feedback control for a class of output-constrained switched stochastic nonlinear systems Abstract: In this paper, a neural network-based adaptive output-feedback control problem is investigated for a class of output-constrained switched stochastic nonlinear systems. By introducing nonlinear mapping, the asymmetric and symmetric output constrained stochastic nonlinear system is transformed into a new system without any constraint. It is the first time that a switching system is used to convert symmetric and asymmetric output constraints in the same system. An adaptive neural output-feedback controller is developed based on the backstepping technique. A state observer is designed to estimate the unmeasurable system state signals. An adaptive controller is designed to ensure that the output tracking error converges to a small region of the origin. The control scheme ensures that all signals in the closed-loop systems are semi-global uniformly ultimately bounded. Results of simulation cases are presented to prove the effectiveness of the theoretical analysis. Journal: International Journal of Systems Science Pages: 3526-3538 Issue: 16 Volume: 52 Year: 2021 Month: 12 X-DOI: 10.1080/00207721.2021.1931728 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1931728 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:16:p:3526-3538 Template-Type: ReDIF-Article 1.0 Author-Name: Nourreddine Nafir Author-X-Name-First: Nourreddine Author-X-Name-Last: Nafir Author-Name: Zahir Ahmida Author-X-Name-First: Zahir Author-X-Name-Last: Ahmida Author-Name: Kevin Guelton Author-X-Name-First: Kevin Author-X-Name-Last: Guelton Author-Name: Fayçal Bourahala Author-X-Name-First: Fayçal Author-X-Name-Last: Bourahala Author-Name: Mohamed Rouamel Author-X-Name-First: Mohamed Author-X-Name-Last: Rouamel Title: Improved robust H∞ stability analysis and stabilisation of uncertain and disturbed networked control systems with network-induced delay and packets dropout Abstract: This paper is concerned with stability analysis and stabilisation of uncertain Networked Control Systems (NCS) with network-induced delay and packet dropouts. This proposal aims at maximising the allowable upper bound of network-induced delay, together with the number of consecutive packet dropouts, from which uncertain and disturbed NCS plants are stable. A novel augmented Lyapunov–Krasovskii functionals (LKF), dependent on both the lower and upper bounds of the network-induced time-varying delay, is considered to derive the proposed delay-dependent LMI-based $ H_\infty $ H∞ stability conditions. Relaxation of these conditions are obtained by exploiting simple and double integral Wirtinger's inequalities to introduce more degrees of freedom from the LKF terms than existing related conditions in the literature. Finally, numerical examples and simulation results are presented to illustrate the effectiveness and the conservatism improvement raised by this proposal compared to previous related results. Journal: International Journal of Systems Science Pages: 3493-3510 Issue: 16 Volume: 52 Year: 2021 Month: 12 X-DOI: 10.1080/00207721.2021.1931547 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1931547 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:16:p:3493-3510 Template-Type: ReDIF-Article 1.0 Author-Name: Xiao Lu Author-X-Name-First: Xiao Author-X-Name-Last: Lu Author-Name: Ruidong Liu Author-X-Name-First: Ruidong Author-X-Name-Last: Liu Author-Name: Chuanzhi Lv Author-X-Name-First: Chuanzhi Author-X-Name-Last: Lv Author-Name: Na Wang Author-X-Name-First: Na Author-X-Name-Last: Wang Author-Name: Qiyan Zhang Author-X-Name-First: Qiyan Author-X-Name-Last: Zhang Author-Name: Haixia Wang Author-X-Name-First: Haixia Author-X-Name-Last: Wang Author-Name: Guilin Zhang Author-X-Name-First: Guilin Author-X-Name-Last: Zhang Author-Name: Xiao Liang Author-X-Name-First: Xiao Author-X-Name-Last: Liang Title: Control for networked control systems with multiplicative noises, packet dropouts and multiple delays Abstract: This paper mainly focuses on the optimal output feedback control problem for networked control systems (NCSs) involving multiplicative noises, packet dropouts, input delays and measurement delays. The main contributions of this paper can be concluded as follows. Firstly, different from the previous results, this paper overcomes the barrier of the packet dropouts and measurement delays. Based on the measurement data, the optimal estimator is given. Secondly, by using maximum principle, a sufficient and necessary condition for the optimal control problem is presented. Moreover, the explicit output feedback controller is derived with feedback gain based on the coupled Riccati difference equations. Numerical example is illustrated to show the effectiveness of the proposed algorithm. Journal: International Journal of Systems Science Pages: 3466-3477 Issue: 16 Volume: 52 Year: 2021 Month: 12 X-DOI: 10.1080/00207721.2021.1929556 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1929556 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:16:p:3466-3477 Template-Type: ReDIF-Article 1.0 Author-Name: Li Li Author-X-Name-First: Li Author-X-Name-Last: Li Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Remote observer-based robust control for cyber-physical systems under asynchronous DoS attacks: an intelligent approach Abstract: In this paper, the input-to-state stability (ISS) control problem is studied for cyber-physical systems (CPSs) in the presence of asynchronous denial-of-service (DoS) attacks. To enhance the exponential ISS, an intelligent packet-based control method with buffering is proposed by introducing the acknowledgement signal (ACK), in which the trial transmission attempts of the control packet are intelligently determined by the situation (successful or failed) of its last sampling transmission instant after identifying the unnecessary transmission points and the necessary transmission points. Then, inspired by the packet-based control technology with buffering, the sufficient condition for attempting transmission of the control packet is given, in which the exponential ISS with maximum robustness index can be preserved. Compared with the existing method with a fixed transmission rate for the control packet, it is shown that the considered framework improves the exponential ISS performance with equal or less communication resource costs. Journal: International Journal of Systems Science Pages: 3511-3525 Issue: 16 Volume: 52 Year: 2021 Month: 12 X-DOI: 10.1080/00207721.2021.1931727 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1931727 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:16:p:3511-3525 Template-Type: ReDIF-Article 1.0 Author-Name: Yamei Ju Author-X-Name-First: Yamei Author-X-Name-Last: Ju Author-Name: Xin Tian Author-X-Name-First: Xin Author-X-Name-Last: Tian Author-Name: Hongjian Liu Author-X-Name-First: Hongjian Author-X-Name-Last: Liu Author-Name: Lifeng Ma Author-X-Name-First: Lifeng Author-X-Name-Last: Ma Title: Fault detection of networked dynamical systems: a survey of trends and techniques Abstract: Fault detection of networked dynamical systems (NDSs) has attracted ever-increasing attention since it can maintain high-quality products as well as operational safety. Considering the utilisation of communication networks, it is desirable to develop engineering-oriented approaches to NDSs subject to the incompleteness from network-induced phenomena (NIP) and the sparsity from communication scheduling. As such, this paper presents a survey of trends and techniques of fault detection in NDSs. First, some typical fault detection methods are summarised based on the various residual assessment functions. Then, some interesting developments are systematically reviewed from two aspects, that is, fault detection with NIP and fault detection under various communication scheduling schemes. In addition, some frontier topics are extensively discussed on fault detection with communication protocols, cyber-attacks, and its applications. Finally, several future works of fault detection problems are investigated to motivate future research. Journal: International Journal of Systems Science Pages: 3390-3409 Issue: 16 Volume: 52 Year: 2021 Month: 12 X-DOI: 10.1080/00207721.2021.1998722 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1998722 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:52:y:2021:i:16:p:3390-3409 Template-Type: ReDIF-Article 1.0 Author-Name: Zhenyu Lu Author-X-Name-First: Zhenyu Author-X-Name-Last: Lu Author-Name: Ning Wang Author-X-Name-First: Ning Author-X-Name-Last: Wang Author-Name: Chenguang Yang Author-X-Name-First: Chenguang Author-X-Name-Last: Yang Title: A novel iterative identification based on the optimised topology for common state monitoring in wireless sensor networks Abstract: Power consumption and data redundancy of wireless sensor networks (WSN) are widely considered for a distributed state monitoring network. For reducing the energy consumption and data amount, we propose a topology optimisation and an iterative parameter identification method for estimating the common model factors in WSN. The former method optimises the decentralised topology such that all the leaf nodes in a community connect to the head node directly. A circle topology is built to enable the remote leaf nodes to link to the head node through two adjoining relay nodes to reduce the whole communication distance and power consumption. Based on the optimised topology, an iterative identification method is proposed to minimise the information capacity by transmitting the processed results instead of raw data to reduce the data amount for calculation and storage. Then, we prove the consensus and convergence of the proposed identification method. Finally, two simulations verify the effectiveness of the proposed method and the comparative results present the data reduction for the on-board calculation, communication, and storage in the practical use of WSN. Journal: International Journal of Systems Science Pages: 25-39 Issue: 1 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1936275 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1936275 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:1:p:25-39 Template-Type: ReDIF-Article 1.0 Author-Name: Alberto García Author-X-Name-First: Alberto Author-X-Name-Last: García Author-Name: J. Ernesto Solanes Author-X-Name-First: J. Author-X-Name-Last: Ernesto Solanes Author-Name: Luis Gracia Author-X-Name-First: Luis Author-X-Name-Last: Gracia Author-Name: Pau Muñoz-Benavent Author-X-Name-First: Pau Author-X-Name-Last: Muñoz-Benavent Author-Name: Vicent Girbés-Juan Author-X-Name-First: Vicent Author-X-Name-Last: Girbés-Juan Author-Name: Josep Tornero Author-X-Name-First: Josep Author-X-Name-Last: Tornero Title: Bimanual robot control for surface treatment tasks Abstract: This work develops a method to perform surface treatment tasks using a bimanual robotic system, i.e. two robot arms cooperatively performing the task. In particular, one robot arm holds the workpiece while the other robot arm has the treatment tool attached to its end-effector. Moreover, the human user teleoperates all the six coordinates of the former robot arm and two coordinates of the latter robot arm, i.e. the teleoperator can move the treatment tool on the plane given by the workpiece surface. Furthermore, a force sensor attached to the treatment tool is used to automatically attain the desired pressure between the tool and the workpiece and to automatically keep the tool orientation orthogonal to the workpiece surface. In addition, to assist the human user during the teleoperation, several constraints are defined for both robot arms in order to avoid exceeding the allowed workspace, e.g. to avoid collisions with other objects in the environment. The theory used in this work to develop the bimanual robot control relies on sliding mode control and task prioritisation. Finally, the feasibility and effectiveness of the method are shown through experimental results using two robot arms. Journal: International Journal of Systems Science Pages: 74-107 Issue: 1 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1938279 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1938279 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:1:p:74-107 Template-Type: ReDIF-Article 1.0 Author-Name: Sahaj Saxena Author-X-Name-First: Sahaj Author-X-Name-Last: Saxena Author-Name: Shivanagouda Biradar Author-X-Name-First: Shivanagouda Author-X-Name-Last: Biradar Title: Fractional-order IMC controller for high-order system using reduced-order modelling via Big-Bang, Big-Crunch optimisation Abstract: Striking developments have taken place in feedback control theory after the evolution of the fractional-order (FO) control concept. However, for large-scale (high-order) systems, these well-established FO techniques become rigorous and lead to an infeasible solution. To overcome this issue, this paper proposes a three-fold control policy. The first step finds the optimal reduced-order (low-order) model using Big-Bang, Big-Crunch (BB–BC) optimisation algorithm. Based on the obtained reduced model, the control structure is formulated in the internal model control (IMC) framework. The controller acquires a PID form followed by an additional term and FO integrator. Unlike the FO-PID controller which demands five tuning parameters, the proposed controller requires only two tuning parameters whose evaluation is done on the basis of user specified gain crossover frequency and phase margin. To substantiate the design approach, a detailed simulation study has been carried out, in which the problems of tracking control, disturbance rejection, and time-delay compensation are illustrated. Journal: International Journal of Systems Science Pages: 168-181 Issue: 1 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1942587 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1942587 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:1:p:168-181 Template-Type: ReDIF-Article 1.0 Author-Name: Rodrigo A. Ricco Author-X-Name-First: Rodrigo A. Author-X-Name-Last: Ricco Author-Name: Bruno O. S. Teixeira Author-X-Name-First: Bruno O. S. Author-X-Name-Last: Teixeira Title: Least-squares parameter estimation for state-space models with state equality constraints Abstract: If a dynamic system has active constraints on the state vector and they are known, then taking them into account during modeling is often advantageous. Unfortunately, in the constrained discrete-time state-space estimation, the state equality constraint is defined for a parameter matrix and not on a parameter vector as commonly found in regression problems. To address this problem, firstly, we show how to rewrite the state equality constraints as equality constraints on the state matrices to be estimated. Then, we vectorise the matricial least squares problem defined for modeling state-space systems such that any method from the equality-constrained least squares framework may be employed. Both time-invariant and time-varying cases are considered as well as the case where the state equality constraint is not exactly known. Journal: International Journal of Systems Science Pages: 1-13 Issue: 1 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1936273 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1936273 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:1:p:1-13 Template-Type: ReDIF-Article 1.0 Author-Name: Guangren Duan Author-X-Name-First: Guangren Author-X-Name-Last: Duan Title: High-order fully actuated system approaches: Part VIII. Optimal control with application in spacecraft attitude stabilisation Abstract: In this paper, the optimal control problem for dynamical systems represented by general high-order fully actuated (HOFA) models is formulated. The problem aims to minimise an objective in the quadratic form of the states and their derivatives of certain orders. The designed controller is a combination of the linearising nonlinear controller and an optimal quadratic controller for a converted linear system. In the infinite-time output regulation case, the solution is in essence a nonlinear state feedback dependent on a well-known Riccati algebraic equation. In the sub-fully actuated system case, the feasibility of the controller is investigated and guaranteed by properly characterising a ball restriction area of the system initial values. Application of the optimal control technique for sub-fully actuated systems to a spacecraft attitude control provides very smooth and steady responses and well demonstrates the effect and simplicity of the proposed approach. Journal: International Journal of Systems Science Pages: 54-73 Issue: 1 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1937750 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1937750 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:1:p:54-73 Template-Type: ReDIF-Article 1.0 Author-Name: Wendi Huang Author-X-Name-First: Wendi Author-X-Name-Last: Huang Author-Name: Min Wu Author-X-Name-First: Min Author-X-Name-Last: Wu Author-Name: Jie Hu Author-X-Name-First: Jie Author-X-Name-Last: Hu Author-Name: Luefeng Chen Author-X-Name-First: Luefeng Author-X-Name-Last: Chen Author-Name: Chengda Lu Author-X-Name-First: Chengda Author-X-Name-Last: Lu Author-Name: Xin Chen Author-X-Name-First: Xin Author-X-Name-Last: Chen Author-Name: Weihua Cao Author-X-Name-First: Weihua Author-X-Name-Last: Cao Title: A multi-objective optimisation algorithm for a drilling trajectory constrained to wellbore stability Abstract: The design of a trajectory is significant to the efficiency and safety of a drilling process. In this paper, wellbore stability, indicated by the safe mud weight, is introduced as constraints to formulate a drilling trajectory optimisation problem. The upper and lower bounds of the safe mud weight are analysed according to the real data of a well. To solve the optimisation problem with strict constraints, we devise a new multi-objective optimisation algorithm. The devised algorithm takes advantage of inverted generational distance and knee points, and improves the convergence and diversity of the obtained solutions by modifying the selection process. Simulation results show that the devised algorithm is effective on the drilling trajectory optimisation problem constrained to wellbore stability. Journal: International Journal of Systems Science Pages: 154-167 Issue: 1 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1941396 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1941396 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:1:p:154-167 Template-Type: ReDIF-Article 1.0 Author-Name: Gholamreza Hesamian Author-X-Name-First: Gholamreza Author-X-Name-Last: Hesamian Author-Name: Mohamad Ghasem Akbari Author-X-Name-First: Mohamad Author-X-Name-Last: Ghasem Akbari Title: Testing hypotheses for multivariate normal distribution with fuzzy random variables Abstract: There are several studies on fuzzy univariate hypothesis tests corresponding to a normal distribution. A fuzzy statistical test was proposed in this study for mean and variance–covariance matrix of a multivariate normal with fuzzy random variables. For this purpose, a notion of fuzzy multivariate normal random variable with fuzzy mean and non-fuzzy variance–covariance matrix was first developed. Then, the concepts of the fuzzy type-I error, fuzzy type-II error, fuzzy power, non-fuzzy significance level and fuzzy p-value were extended. A degree-based criterion was also suggested to compare the fuzzy p-values as well as a specific significance level to decide whether accepting or rejecting the underlying hypotheses. The effectiveness of the proposed fuzzy hypothesis test was also examined through some numerical examples. Journal: International Journal of Systems Science Pages: 14-24 Issue: 1 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1936274 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1936274 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:1:p:14-24 Template-Type: ReDIF-Article 1.0 Author-Name: Qian Wang Author-X-Name-First: Qian Author-X-Name-Last: Wang Author-Name: Qingxia Lin Author-X-Name-First: Qingxia Author-X-Name-Last: Lin Author-Name: Yuetao Yang Author-X-Name-First: Yuetao Author-X-Name-Last: Yang Title: Continuous dynamic gain scheduling control for input-saturated switched systems Abstract: In this paper, we proposed a continuous dynamic gain scheduling control for the input-saturated switched system. The state feedback controller and the compensator-based output feedback controller are both designed based on the parametric Lyapunov equation, sliding mode control and gain scheduling control. The advantages of the proposed methods are improving the dynamic performance of the switched system, guaranteeing the exponential stability of the closed-loop system and the proposed method has stronger disturbance rejection ability. The designed controllers can be computed by solving the parametric Lyapunov equation. The numerical simulations are carried out to illustrate the usefulness of the proposed methods. Journal: International Journal of Systems Science Pages: 40-53 Issue: 1 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1936276 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1936276 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:1:p:40-53 Template-Type: ReDIF-Article 1.0 Author-Name: Yulin Li Author-X-Name-First: Yulin Author-X-Name-Last: Li Author-Name: Ben Niu Author-X-Name-First: Ben Author-X-Name-Last: Niu Author-Name: Guangdeng Zong Author-X-Name-First: Guangdeng Author-X-Name-Last: Zong Author-Name: Jinfeng Zhao Author-X-Name-First: Jinfeng Author-X-Name-Last: Zhao Author-Name: Xudong Zhao Author-X-Name-First: Xudong Author-X-Name-Last: Zhao Title: Command filter-based adaptive neural finite-time control for stochastic nonlinear systems with time-varying full-state constraints and asymmetric input saturation Abstract: This article studies a tracking control problem for a class of stochastic nonlinear systems with time-varying full-state constraints and asymmetric input saturation. Firstly, the Gauss Error Function is introduced to solve the difficulty arising from the saturation nonlinearity. Meanwhile, to overcome the problem of calculating explosion caused by the repeated differentiation of the virtual control signals, a finite-time command filter with a compensation mechanism is developed. Combining the neural networks' approximation ability and the backstepping technique, an adaptive neural finite-time control strategy is proposed for the considered system by constructing the time-varying barrier Lyapunov function. Under the proposed control strategy, it is guaranteed that all signals are bounded in a sense of mean square, the output of the system can track the reference signal within a finite time and all states will not violate the constraints. Furthermore, the stability of the closed-loop system is analysed based on the stochastic finite-time stability theory. Finally, a simulation example verifies the effectiveness of the proposed control strategy. Journal: International Journal of Systems Science Pages: 199-221 Issue: 1 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1943562 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1943562 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:1:p:199-221 Template-Type: ReDIF-Article 1.0 Author-Name: Ye Chen Author-X-Name-First: Ye Author-X-Name-Last: Chen Author-Name: Yinya Li Author-X-Name-First: Yinya Author-X-Name-Last: Li Title: Diffusion event-triggered sequential asynchronous state estimation algorithm for stochastic multiplicative noise systems Abstract: This article focuses on the problem of the diffusion event-triggered sequential asynchronous state estimation for the stochastic multiplicative noise systems. In this paper, we propose a diffusion sequential asynchronous state estimation algorithm for each node to obtain the final estimate. In order to ease the communication burden of the system, we propose a two-stage event-triggered mechanism to avoid the unnecessary information transmissions, and the corresponding state estimation algorithm is derived. The sufficient conditions to guarantee the boundedness of the estimation error of the proposed algorithm are established. The effectiveness of the proposed algorithm is verified through its application to a target tracking system. Journal: International Journal of Systems Science Pages: 122-137 Issue: 1 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1939192 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1939192 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:1:p:122-137 Template-Type: ReDIF-Article 1.0 Author-Name: Karnika Biswas Author-X-Name-First: Karnika Author-X-Name-Last: Biswas Author-Name: Indrani Kar Author-X-Name-First: Indrani Author-X-Name-Last: Kar Author-Name: Eric Feron Author-X-Name-First: Eric Author-X-Name-Last: Feron Title: A priority-driven optimal guidance approach to moving target tracking for safe navigation in a narrow space Abstract: This paper presents an ‘optimally designed’ anti-collision trajectory plan suitable for moving target tracking in narrow spaces like corridors, aisles, etc. Narrow spaces constitute of highly constrained reachable states in the context of dynamic motion. Tracking is the default mode, while the safe trajectory is triggered on a priority-basis. The optimal switching point plays a key role in preventing a possible collision due to a ‘mis-timed’ change of manoeuvre, in case the obstacle shows unanticipated motion. Moreover, it also ensures that tracking is resumed at a point which minimises tracking error under the said deviation from the desired path. A smoothening filter has been proposed to make seamless transitions at the switching points. Journal: International Journal of Systems Science Pages: 138-153 Issue: 1 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1941395 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1941395 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:1:p:138-153 Template-Type: ReDIF-Article 1.0 Author-Name: Umair Zulfiqar Author-X-Name-First: Umair Author-X-Name-Last: Zulfiqar Author-Name: Victor Sreeram Author-X-Name-First: Victor Author-X-Name-Last: Sreeram Author-Name: Mian Ilyas Ahmad Author-X-Name-First: Mian Ilyas Author-X-Name-Last: Ahmad Author-Name: Xin Du Author-X-Name-First: Xin Author-X-Name-Last: Du Title: Frequency-weighted ℋ2-optimal model order reduction via oblique projection Abstract: In projection-based model order reduction, a reduced-order approximation of the original full-order system is obtained by projecting it onto a reduced subspace that contains its dominant characteristics. The problem of frequency-weighted $ \mathcal {H}_2 $ H2-optimal model order reduction is to construct a local optimum in terms of the $ \mathcal {H}_2 $ H2-norm of the weighted error transfer function. In this paper, a projection-based model order reduction algorithm is proposed that constructs a reduced-order model, which nearly satisfies the first-order optimality conditions for the frequency-weighted $ \mathcal {H}_2 $ H2-optimal model order reduction problem. It is shown that as the order of the reduced model is increased, the deviation in the satisfaction of the optimality conditions reduces further. Numerical methods are also discussed that improve the computational efficiency of the proposed algorithm. Four numerical examples are presented to demonstrate the efficacy of the proposed algorithm. Journal: International Journal of Systems Science Pages: 182-198 Issue: 1 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1943561 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1943561 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:1:p:182-198 Template-Type: ReDIF-Article 1.0 Author-Name: Bilal J. Karaki Author-X-Name-First: Bilal J. Author-X-Name-Last: Karaki Author-Name: Magdi S. Mahmoud Author-X-Name-First: Magdi S. Author-X-Name-Last: Mahmoud Title: Scaled consensus for multiagent systems under denial-of-service attacks and exogenous disturbance Abstract: In this paper, the scaled group consensus problem of high-order multi-agent systems is investigated over directed graphs. In terms of an appropriate Lyapunov function, sufficient conditions are derived to guarantee scaled consensus for high-order continuous-time systems for strongly connected networks. For the case where the agents are subject to exogenous inputs, the scaled consensus is achieved with a guaranteed $ \mathcal {H}_2 $ H2/ $ \mathcal {H}_\infty $ H∞ performance. Moreover, the scaled-consensus problem for multiagents subject Denial-of-Service (DoS) attack is investigated. The considered attack model allows the adversaries to compromise agents independently. Decay rates for each attack mode are obtained based on a set of linear matrix inequalities. Sufficient conditions in terms of decay rates are derived to guarantee secure scaled consensus. Simulation results are also presented to illustrate the effectiveness of the proposed theoretical results. Journal: International Journal of Systems Science Pages: 108-121 Issue: 1 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1938280 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1938280 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:1:p:108-121 Template-Type: ReDIF-Article 1.0 Author-Name: Yufeng Tian Author-X-Name-First: Yufeng Author-X-Name-Last: Tian Author-Name: Zhanshan Wang Author-X-Name-First: Zhanshan Author-X-Name-Last: Wang Title: Stability analysis of linear time-varying system via flexible polynomial-based functions Abstract: In the last five years, the slack matrices-based function has been widely investigated by constructing appropriate polynomials since it is an appropriate tool to derive tractable stability conditions expressed in terms of linear matrix inequalities (LMIs). However, the inherently complexitiy of slack matrices has not been considered until now, which is an open problem. In this paper, novel flexible polynomial-based functions (FPFs) are proposed by constructing flexible polynomials. Not only the inherently complex dimensions of the slack matrices but also higher-order time delays and zero components in the existing works are relaxed. Benefitting from FPFs, two representative stability criteria are, respectively, obtained for linear delay systems. According to the two stability conditions, all permutations and combinations of flexible vectors in FPFs can be freely chosen. An example is illustrated to demonstrate the effectiveness of the obtained results. Journal: International Journal of Systems Science Pages: 402-411 Issue: 2 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1958026 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1958026 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:2:p:402-411 Template-Type: ReDIF-Article 1.0 Author-Name: Yanjun Liang Author-X-Name-First: Yanjun Author-X-Name-Last: Liang Author-Name: Yuan-Xin Li Author-X-Name-First: Yuan-Xin Author-X-Name-Last: Li Author-Name: Weiwei Che Author-X-Name-First: Weiwei Author-X-Name-Last: Che Title: Exponentially asymptotic adaptive tracking control of nonstrict feedback nonlinear systems Abstract: This paper considers the asymptotic adaptive tracking control issues for the nonstrict feedback nonlinear systems. By adding the negative exponential function to the Lyapunov function, the exponentially asymptotic convergence is realised for the first time. In addition, the prior knowledge of the lower and upper bounds of unknown nonlinear functions have been removed in this article. The unknown nonlinear functions and uncertain external disturbance are solved by using fuzzy logical systems (FLS) and the bound-estimation method. It is shown that the tracking error can converge to zero at an exponential rate and the whole signals of the controlled system are bounded. Finally, simulation examples have been presented to prove the effectiveness of the raised scheme. Journal: International Journal of Systems Science Pages: 337-350 Issue: 2 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1954720 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1954720 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:2:p:337-350 Template-Type: ReDIF-Article 1.0 Author-Name: Fatih Adıgüzel Author-X-Name-First: Fatih Author-X-Name-Last: Adıgüzel Author-Name: Yaprak Yalçın Author-X-Name-First: Yaprak Author-X-Name-Last: Yalçın Title: Immersion and invariance disturbance observer-based nonlinear discrete-time control for fully actuated mechanical systems Abstract: This paper addresses the attenuation problem of input disturbances in the control of fully actuated mechanical systems in the discrete-time setting. Firstly, a discrete-time disturbance estimator design with immersion and invariance (I&I) approach is presented for the n-degrees of freedom (DOF) fully actuated mechanical systems. Then, a discrete-time combined feedback linearising and backstepping control is established that this controller uses the estimated disturbance information. Global asymptotic stability of the estimator and local asymptotic stability of the entire closed-loop system in an arbitrarily large compact set are shown utilising the Lyapunov stability theory. In order to show the effectiveness of the proposed composite observer-based discrete-time control method, it is applied to the 3-DOF robotic manipulator. Performance of proposed direct discrete-time combined feedback linearising and backstepping controller with discrete-time I&I observer is compared with a direct discrete-time conventional second-order sliding mode controller with another discrete-time nonlinear disturbance observer via simulations. The superior performance of the proposed method is demonstrated with simulation results. Journal: International Journal of Systems Science Pages: 388-401 Issue: 2 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1958025 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1958025 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:2:p:388-401 Template-Type: ReDIF-Article 1.0 Author-Name: Bo Wang Author-X-Name-First: Bo Author-X-Name-Last: Wang Author-Name: Yu-Ping Tian Author-X-Name-First: Yu-Ping Author-X-Name-Last: Tian Author-Name: Zhimin Han Author-X-Name-First: Zhimin Author-X-Name-Last: Han Title: Consensus in possibly unbalanced switching networks with relative-state-dependent noises Abstract: This paper studies the consensus problem of discrete-time single-integrator multi-agent systems (MASs) with relative-state-dependent (RSD) noises in possibly unbalanced switching networks. By using a time-varying quadratic Lyapunov function, we prove that the mean square and almost sure consensus of the single-integrator MASs with RSD noises can always be achieved by adopting a constant gain protocol if the switching network is uniformly strongly connected. We also give the statistic property of the convergent random variable with respect to the initial state of the system. Simulation results are given to verify the correctness of the consensus conclusion. Journal: International Journal of Systems Science Pages: 313-324 Issue: 2 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1954718 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1954718 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:2:p:313-324 Template-Type: ReDIF-Article 1.0 Author-Name: M. H. Heydari Author-X-Name-First: M. H. Author-X-Name-Last: Heydari Author-Name: M. Razzaghi Author-X-Name-First: M. Author-X-Name-Last: Razzaghi Title: A new class of orthonormal basis functions: application for fractional optimal control problems Abstract: This study aims to generate a novel set of basis functions called the orthonormal piecewise Chelyshkov functions to solve a certain category of optimal control problems whose dynamical system is governed by a nonlinear fractional differential equation. A new fractional integral matrix associated with these basis functions is derived. This matrix significantly reduces the computations in solving such problems. The proposed approach transforms the original problem into a nonlinear programming one by expanding the control and state variables in terms of the orthonormal piecewise Chelyshkov functions and employing the derived fractional integral matrix. Some numerical problems are examined for verification of the proposed method. Journal: International Journal of Systems Science Pages: 240-252 Issue: 2 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1947411 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1947411 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:2:p:240-252 Template-Type: ReDIF-Article 1.0 Author-Name: Y. Shang Author-X-Name-First: Y. Author-X-Name-Last: Shang Title: Interval consensus of switched multiagent systems Abstract: This paper studies interval consensus for switched multiagent systems over directed networks, which consist of a continuous-time subsystem and a discrete-time subsystem regulated by a switching rule. Interval consensus refers to a state constrained consensus, where each agent is allowed to propose an acceptable interval to saturate their expressed states and the final consensus state lies in the nonempty intersection of all these intervals. We establish conditions guaranteeing interval consensus for switched multiagent system under arbitrary switching rules. Furthermore, we introduce the scaled interval consensus notion, which allows both the convergence of states to a pre-assigned proportion and the scaled consensus values lying in the desired range. Simulation results are provided to verify the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 351-362 Issue: 2 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1954721 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1954721 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:2:p:351-362 Template-Type: ReDIF-Article 1.0 Author-Name: Jindong Shen Author-X-Name-First: Jindong Author-X-Name-Last: Shen Author-Name: Yuanwei Jing Author-X-Name-First: Yuanwei Author-X-Name-Last: Jing Author-Name: Tao Ren Author-X-Name-First: Tao Author-X-Name-Last: Ren Title: Adaptive finite time congestion tracking control for TCP/AQM system with input-saturation Abstract: In this paper, the finite time tracking control issue of the TCP/AQM system with input saturation and non-response flows such as UDP is studied. A novel AQM control algorithm is proposed by combining finite time control, prescribed performance control and fuzzy logic system. In order to obtain better disturbance suppression performance, the fuzzy logic system is adopted to deal with the external disturbance and the error disturbance generated by approximate input saturation function. The controller is designed to ensure that the queue tracking error converges to a specific region and achieve the practical finite time stability of all signals in the closed-loop system. The simulation results demonstrate the feasibility and superiority of the proposed method. Journal: International Journal of Systems Science Pages: 253-264 Issue: 2 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1947412 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1947412 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:2:p:253-264 Template-Type: ReDIF-Article 1.0 Author-Name: Mohammad Ali Nojoumian Author-X-Name-First: Mohammad Ali Author-X-Name-Last: Nojoumian Author-Name: Moosa Ayati Author-X-Name-First: Moosa Author-X-Name-Last: Ayati Author-Name: Mohammad Reza Zakerzadeh Author-X-Name-First: Mohammad Reza Author-X-Name-Last: Zakerzadeh Title: Bumpless stabilisation of uncertain switched positive linear systems under synchronous and asynchronous switching Abstract: This paper deals with stabilising uncertain Switched Positive Linear Systems (SPLSs) with a bumpless transfer controller. The contribution of this study is to improve switching controller robustness at the switching instances and also guarantee the $ {L_1} $ L1–gain performance of the positive systems. Positive systems are widespread; most of the biological, economic systems, disease, etc., have nonnegative variables belonging to this class of systems. Positive Systems modelling encounters different types of uncertainties; therefore, stability analysis and stabilisation of uncertain SPLSs are crucial in analysing positive systems. The stability of the SPLSs can be guarantee by using multiple copositive Lyapunov functions with the Dwell Time (DT) strategy. The stability of the SPLS has been investigated under synchronous and asynchronous switching modes. The so-called asynchronous switching means that the switches between the candidate controllers and system modes are asynchronous. Also, the $ {L_1} $ L1–gain performance of the system is derived. Finally, two illustrative examples are provided to demonstrate the proposed scheme’s effectiveness compared with the foremost existing solutions. Journal: International Journal of Systems Science Pages: 363-374 Issue: 2 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1954722 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1954722 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:2:p:363-374 Template-Type: ReDIF-Article 1.0 Author-Name: Ruicong Yang Author-X-Name-First: Ruicong Author-X-Name-Last: Yang Author-Name: Damiano Rotondo Author-X-Name-First: Damiano Author-X-Name-Last: Rotondo Author-Name: Vicenç Puig Author-X-Name-First: Vicenç Author-X-Name-Last: Puig Title: LMI-based design of state-feedback controllers for pole clustering of LPV systems in a union of 𝒟R-regions Abstract: This paper introduces an approach for the design of a state-feedback controller that achieves pole clustering in a union of $ \mathcal {D}_R $ DR-regions for linear parameter varying systems. The design conditions, obtained using a partial pole placement theorem, are eventually expressed in terms of linear matrix inequalities. In addition, it is shown that the approach can be modified in a shifting sense. Hence, the controller gain is computed such that different values of the varying parameters imply different regions of the complex plane where the closed-loop poles are situated. This approach enables the online modification of the closed-loop performance. The effectiveness of the proposed method is demonstrated by means of simulations. Journal: International Journal of Systems Science Pages: 291-312 Issue: 2 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1954717 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1954717 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:2:p:291-312 Template-Type: ReDIF-Article 1.0 Author-Name: Huimin Zhang Author-X-Name-First: Huimin Author-X-Name-Last: Zhang Author-Name: Ronghu Chi Author-X-Name-First: Ronghu Author-X-Name-Last: Chi Author-Name: Zhongsheng Hou Author-X-Name-First: Zhongsheng Author-X-Name-Last: Hou Author-Name: Biao Huang Author-X-Name-First: Biao Author-X-Name-Last: Huang Title: Quantisation compensated data-driven iterative learning control for nonlinear systems Abstract: This work presents a quantisation compensation-based data-driven iterative learning control (QC-DDILC) scheme by incorporating a uniform quantiser and an encoding–decoding mechanism (E-DM) to deal with the problem of limited communication resources in a networked control system. Since it is directly aimed at a nonlinear nonaffine system, an iterative dynamic linearisation method is employed to transfer it to a linear data model. Then, the QC-DDILC method is developed by the use of optimisation technique for the learning control law and the parameter updating law, respectively, where the quantised output from the E-DM is used. Since the direct output measurement of the system is unavailable, the linear data model is also acted as an iterative predictive model to estimate the system outputs utilised as the compensator in the consequent QC-DDILC. The proposed QC-DDILC is a data-driven method without relying on any explicit mechanism model information. The convergence analysis is conducted by using the mathematical tools of contraction mapping and induction. Simulations verify the theoretical results. Journal: International Journal of Systems Science Pages: 275-290 Issue: 2 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1950232 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1950232 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:2:p:275-290 Template-Type: ReDIF-Article 1.0 Author-Name: Orhan Dalkılıç Author-X-Name-First: Orhan Author-X-Name-Last: Dalkılıç Title: A decision-making approach to reduce the margin of error of decision makers for bipolar soft set theory Abstract: In order for a mathematical model to express the uncertainty problems encountered in the most ideal way, it must be able to express the relationships between the parameters and objects in the problem in the most accurate way. In this paper, the bipolar soft set theory is taken into consideration since it also deals with the negative parameters of parameters in a parameter set. The main purpose of the paper is to determine the membership degrees between parameters and objects by minimising the effectiveness of the decision maker, and thus to build an impressive decision-making approach. For this, the concepts ‘Bipolar Relational Membership Function’ and ‘NOT Bipolar Relational Membership Function’ are defined and some important properties are given. Thanks to these proposed concepts, it is ensured that the decision maker is asked to express only firm judgments as 0 and 1, and the membership degrees between $ (0,1) $ (0,1) can be determined. Finally, the difference of our proposed decision-making approach from other decision-making approaches previously introduced in the literature has been clearly demonstrated and a comparative analysis has been made. Journal: International Journal of Systems Science Pages: 265-274 Issue: 2 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1949644 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1949644 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:2:p:265-274 Template-Type: ReDIF-Article 1.0 Author-Name: Ruiping Xu Author-X-Name-First: Ruiping Author-X-Name-Last: Xu Author-Name: Zhen Liu Author-X-Name-First: Zhen Author-X-Name-Last: Liu Author-Name: Yunlong Liu Author-X-Name-First: Yunlong Author-X-Name-Last: Liu Title: State-estimation-based adaptive sliding mode control for a class of uncertain time-delay systems: a new design Abstract: In this article, state estimation-based adaptive control problem for a class of uncertain systems subject to time-delay and external disturbance is investigated within sliding mode framework. A simplified state observer without any inputs is designed to reconstruct the unmeasured state variables, from which a novel linear switching surface is provided. By applying a novel adaptive reaching motion controller, the existence and arrival of the defined switching surface are established. It is shown that in the framework of Lyapunov stability theory and linear matrix inequality technique, the proposed control scheme achieves the desirable performance for the closed-loop system. Two illustrative examples are given to substantiate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 375-387 Issue: 2 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1958024 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1958024 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:2:p:375-387 Template-Type: ReDIF-Article 1.0 Author-Name: Lingxiang Cheng Author-X-Name-First: Lingxiang Author-X-Name-Last: Cheng Author-Name: Lin Tie Author-X-Name-First: Lin Author-X-Name-Last: Tie Title: Constrained controllability of discrete-time bilinear systems Abstract: In real systems, control inputs are often constrained, and the constrained controllability problems are far more difficult to deal with than the unconstrained controllability ones. In this paper, we consider the constrained controllability problem of discrete-time bilinear systems. Specifically, we study the bounds of the control inputs for the systems to be controllable. Our approach is to first prove constrained near-controllability of a special class of bilinear system and then use constrained near-controllability to approximate constrained controllability of general bilinear systems. Based on this approach, we derive conditions for constrained controllability of the systems, where the upper bound of the control inputs can be easily computed. Algorithms and examples are provided to demonstrate the results of this paper. Journal: International Journal of Systems Science Pages: 431-446 Issue: 2 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1961911 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1961911 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:2:p:431-446 Template-Type: ReDIF-Article 1.0 Author-Name: Yang Yang Author-X-Name-First: Yang Author-X-Name-Last: Yang Author-Name: Xin Fan Author-X-Name-First: Xin Author-X-Name-Last: Fan Author-Name: Baohua Sun Author-X-Name-First: Baohua Author-X-Name-Last: Sun Author-Name: Chuang Xu Author-X-Name-First: Chuang Author-X-Name-Last: Xu Author-Name: Shan Zuo Author-X-Name-First: Shan Author-X-Name-Last: Zuo Author-Name: Dong Yue Author-X-Name-First: Dong Author-X-Name-Last: Yue Title: Event-triggered adaptive approximately optimal tracking control of a class of non-affine SISO nonlinear systems via output feedback Abstract: In this paper, an event-triggered adaptive approximately optimal tracking control approach is proposed for a class of non-affine nonlinear single-input single-output (SISO) systems via output feedback. With the help of fuzzy logic systems (FLSs), a fuzzy state observer is designed for the estimation of internal states by approximating unknown nonlinear functions, where a low-pass filter (LPF) is added for the algebraic loop problem. Then, the output feedback control approach, in the backstepping framework and the event-triggered mechanism, is presented. It contains the adaptive backstepping control and the approximately optimal control via adaptive dynamic programming (ADP) technology, and the computation cost and transmission load are reduced while guaranteeing that the performance index of the system is approximately minimised. Finally, two simulation examples are provided to verify the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 223-239 Issue: 2 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1947410 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1947410 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:2:p:223-239 Template-Type: ReDIF-Article 1.0 Author-Name: Huadi Shan Author-X-Name-First: Huadi Author-X-Name-Last: Shan Author-Name: Hong Xue Author-X-Name-First: Hong Author-X-Name-Last: Xue Author-Name: Shenglin Hu Author-X-Name-First: Shenglin Author-X-Name-Last: Hu Author-Name: Hongjing Liang Author-X-Name-First: Hongjing Author-X-Name-Last: Liang Title: Finite-time dynamic surface control for multi-agent systems with prescribed performance and unknown control directions Abstract: In this paper, the finite-time adaptive fuzzy control method is proposed for nonlinear nonstrict-feedback multi-agent systems (MASs) with unknown control directions. The Nussbaum function is introduced to compensate the influence of unknown control directions. By combining the finite-time stability criterion, an adaptive fuzzy controller is constructed to ensure that systems reach a steady state in a finite time, and the tracking errors of all output signals converge to a small neighbourhood of the origin. By using the Lyapunov finite-time stability theorem, all signals are proved to be semi-global practically finite-time stable. Finally, the effectiveness of the proposed control method is proved through some results of simulation experiments. Journal: International Journal of Systems Science Pages: 325-336 Issue: 2 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1954719 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1954719 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:2:p:325-336 Template-Type: ReDIF-Article 1.0 Author-Name: Jesús Sandoval Author-X-Name-First: Jesús Author-X-Name-Last: Sandoval Author-Name: Rafael Kelly Author-X-Name-First: Rafael Author-X-Name-Last: Kelly Author-Name: Víctor Santibáñez Author-X-Name-First: Víctor Author-X-Name-Last: Santibáñez Title: A speed regulator for a force-driven cart-pole system Abstract: In this paper, we present a speed regulator for a force-driven cart-pole system. The proposed controller allows bringing the pole towards its upright position, while the cart moves asymptotically at desired constant speed, recovering the position regulation when we assign a desired constant position of the cart. The main motivation for addressing speed regulation is to broaden the scope of control of underactuated mechanical systems, because so far, the control of this class of mechanical systems has been focused primarily on position regulation; and therefore, there is few information and results available on broader control objectives, such as speed regulation. In particular, we design a speed regulator for the cart-pole system, as this system is one of the more representative test benches of underactuated mechanical system found in many automatic control research laboratories. Another novelty is the introduction of an alternative energy shaping approach for the velocity control design of a class of underactuated mechanical systems. A complete asymptotic stability analysis based on the Lyapunov theory and the Barbashin–Krasovskii theorem is presented. Local asymptotic stability is concluded. Simulation results upon a force-driven cart-pole model illustrate the performance of the proposed controller. Journal: International Journal of Systems Science Pages: 412-430 Issue: 2 Volume: 53 Year: 2022 Month: 01 X-DOI: 10.1080/00207721.2021.1958950 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1958950 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:2:p:412-430 Template-Type: ReDIF-Article 1.0 Author-Name: H. R. Ghazisaeedi Author-X-Name-First: H. R. Author-X-Name-Last: Ghazisaeedi Author-Name: M. S. Tavazoei Author-X-Name-First: M. S. Author-X-Name-Last: Tavazoei Title: Finite-time stabilisation of a class of time-varying nonlinear systems by a mixed event-based and continuous-time strategy Abstract: In this paper, a mixed event-triggered and continuous-time control method is proposed, which can guarantee finite-time stabilisation of the fixed point in a class of time-varying nonlinear systems. Benefiting from an event-triggered framework, which is constructed based on the indefinite Lyapunov theory, the communication/computation costs in the transient time can be reduced by using the proposed method. In a special case, this method is converted to a fully event-triggered control strategy for asymptotic stabilisation of the fixed point in the considered class of time-varying nonlinear systems. The effectiveness of the proposed method is verified by numerical simulations. Journal: International Journal of Systems Science Pages: 526-537 Issue: 3 Volume: 53 Year: 2022 Month: 02 X-DOI: 10.1080/00207721.2021.1963006 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1963006 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:3:p:526-537 Template-Type: ReDIF-Article 1.0 Author-Name: David Santos Author-X-Name-First: David Author-X-Name-Last: Santos Author-Name: Pedro Batista Author-X-Name-First: Pedro Author-X-Name-Last: Batista Author-Name: Paulo Oliveira Author-X-Name-First: Paulo Author-X-Name-Last: Oliveira Author-Name: Carlos Silvestre Author-X-Name-First: Carlos Author-X-Name-Last: Silvestre Title: Decentralised navigation systems for bearing-based position and velocity estimation in tiered formations Abstract: This paper presents a novel decentralised navigation system based on bearing measurements for tiered vehicle formations. In the proposed framework, some vehicles have access to measurements of their own position, whereas others have access to bearing measurements to one or more neighbouring vehicles. Depth measurement may also be available. Local observers for the position and fluid velocity are designed based on the derivation of an equivalent observable linear time-varying system, thus yielding globally exponentially stable error dynamics. The local observers rely on local measurements, as well as limited communications between the vehicles. The stability of the system as a whole is analysed by studying the robustness of the local observers to exponentially decaying perturbations. Thorough Monte Carlo simulations are presented and discussed to compare the performance of the proposed solution with the extended Kalman filter, the unscented Kalman filter, and the Bayesian Cramér-Rao bound. Journal: International Journal of Systems Science Pages: 504-525 Issue: 3 Volume: 53 Year: 2022 Month: 02 X-DOI: 10.1080/00207721.2021.1961916 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1961916 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:3:p:504-525 Template-Type: ReDIF-Article 1.0 Author-Name: Wenhui Dou Author-X-Name-First: Wenhui Author-X-Name-Last: Dou Author-Name: Guodong Zhao Author-X-Name-First: Guodong Author-X-Name-Last: Zhao Author-Name: Haitao Li Author-X-Name-First: Haitao Author-X-Name-Last: Li Author-Name: Qi Chen Author-X-Name-First: Qi Author-X-Name-Last: Chen Title: Off-line fault detection of logical control networks Abstract: This paper investigates the off-line fault detectability of logical control networks (LCNs) by the method of semi-tensor product. Firstly, two concepts of off-line fault detectability, that is, weak off-line fault detectability and strong off-line detectability, are presented. Secondly, based on a recursive algorithm, the verification matrix for off-line fault detection is proposed to verify the off-line detectability of LCNs. Thirdly, necessary and sufficient conditions are presented to analyse the off-line fault detectability of LCNs. Finally, two illustrative examples show the effectiveness of the obtained new results. Journal: International Journal of Systems Science Pages: 478-487 Issue: 3 Volume: 53 Year: 2022 Month: 02 X-DOI: 10.1080/00207721.2021.1961914 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1961914 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:3:p:478-487 Template-Type: ReDIF-Article 1.0 Author-Name: Hao Jin Author-X-Name-First: Hao Author-X-Name-Last: Jin Author-Name: Shuli Sun Author-X-Name-First: Shuli Author-X-Name-Last: Sun Title: Distributed Kalman filtering for sensor networks with random sensor activation, delays, and packet dropouts Abstract: This paper studies a distributed Kalman filtering problem for sensor networks, where sensor nodes may suffer from measuring the target state with a random activation nature and random delayed and lost state estimates of neighbour nodes due to unreliability of communication links. A distributed Kalman filter (DKF) is proposed, where predictor compensations for delayed and lost estimates of neighbour nodes and different consensus filter gains for state estimates of different neighbour nodes are used to improve estimation accuracy. Optimal filter gains with optimal parameters are designed to obtain a local minimum upper bound of filtering error covariance matrix, where optimal filter gains include an optimal Kalman filter gain for each sensor node and optimal multi-consensus filter gains for state estimates of its neighbour nodes. Our proposed DKF has a low computational cost because the calculation of cross-covariance matrices between estimates of sensor nodes is avoided. Besides, the boundedness of the proposed DKF is analysed. Finally, an example of a target tracking system in sensor networks demonstrates effectiveness of the proposed DKF. Journal: International Journal of Systems Science Pages: 575-592 Issue: 3 Volume: 53 Year: 2022 Month: 02 X-DOI: 10.1080/00207721.2021.1963502 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1963502 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:3:p:575-592 Template-Type: ReDIF-Article 1.0 Author-Name: Yanping Wang Author-X-Name-First: Yanping Author-X-Name-Last: Wang Author-Name: Xiaoming Chen Author-X-Name-First: Xiaoming Author-X-Name-Last: Chen Author-Name: Haixiao Guo Author-X-Name-First: Haixiao Author-X-Name-Last: Guo Title: Event-triggered H–/L∞ fault detection observer design for discrete-time Lipschitz nonlinear networked control systems in finite-frequency domain Abstract: This paper proposes an event-triggered $ H_{\_}/L_{\infty } $ H−/L∞ fault detection observer (FDO) design method for discrete-time Lipschitz nonlinear networked control systems (NCSs) in finite-frequency domain. First, a discrete event-triggered transmission scheme is proposed to mitigate the utility of limited network bandwidth. Second, with the aid of a reformulated Lipschitz property, the nonlinear error dynamics are converted into a linear parameter varying (LPV) networked system model. Third, based on this model, the finite-frequency $ H_{\_} $ H_/L∞ index is used to measure the worst-case fault sensitivity performance and the $ L_{\infty } $ H_ norm from unknown disturbance to residual is used to measure disturbance robustness performance. Next, a residual evaluation and a dynamic threshold are synthesised based on the $ L_{\infty } $ L∞ norm. Furthermore, sufficient conditions of the FDO design are derived and transformed by a set of linear matrix inequalities (LMIs). The proposed FDO design method can significantly reduce the data transmission to relieve the communication pressure, and can also achieve better FD performance than the full frequency domain. Finally, A numerical example is provided to demonstrate the effectiveness and applicability of the proposed design approach. Journal: International Journal of Systems Science Pages: 488-503 Issue: 3 Volume: 53 Year: 2022 Month: 02 X-DOI: 10.1080/00207721.2021.1961915 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1961915 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:3:p:488-503 Template-Type: ReDIF-Article 1.0 Author-Name: Zhengqi Wang Author-X-Name-First: Zhengqi Author-X-Name-Last: Wang Author-Name: Xiaoping Liu Author-X-Name-First: Xiaoping Author-X-Name-Last: Liu Author-Name: Wilson Wang Author-X-Name-First: Wilson Author-X-Name-Last: Wang Title: Pole placement method on a class of nonlinear systems with adaptive backstepping technique Abstract: In this paper, a gain determining method for nonlinear adaptive backstepping technique is proposed by the pole placement method. By introducing a subsystem that can be linearised as a linear system, controller gains can be solved by the pole placement method. Compared with the existing techniques, the proposed method can achieve a transient performance like a linear system with the pole placement method instead of constraining the system in a predefined performance range. Meanwhile, the proposed method does not change the structure of adaptive backstepping controllers, which preserves the advantages of the original backstepping design and avoids increasing the computing effort for the control system. In addition, the applications of the proposed method are demonstrated by three examples, including a 2nd-order nonlinear system, a 3rd-order nonlinear system, and a single-link robot arm. The corresponding simulations are conducted, and the simulation results are illustrated and analysed. Moreover, comparative simulations are conducted to verify the proposed method. Journal: International Journal of Systems Science Pages: 613-633 Issue: 3 Volume: 53 Year: 2022 Month: 02 X-DOI: 10.1080/00207721.2021.1966548 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1966548 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:3:p:613-633 Template-Type: ReDIF-Article 1.0 Author-Name: Zhifeng Gao Author-X-Name-First: Zhifeng Author-X-Name-Last: Gao Author-Name: Donghao Liu Author-X-Name-First: Donghao Author-X-Name-Last: Liu Author-Name: Moshu Qian Author-X-Name-First: Moshu Author-X-Name-Last: Qian Title: Decentralised fault-tolerant tracking control for interconnected nonlinear time delay systems using dynamic event triggering mechanism Abstract: In this study, a novel decentralised fault-tolerant control strategy is developed for a class of interconnected nonlinear time delay systems with unmeasurable state variables and actuator faults by using dynamic event triggering mechanism. The interconnected system model includes nonlinear time delay functions and unstructured uncertainties, which could be identified by the radial basis function neural networks approximation technique. The adaptive nonlinear observer is designed for each interconnected subsystem to obtain the estimated values of unmeasurable state variables and unknown system faults simultaneously. Then, a decentralised fault-tolerant tracking controller is designed for the considered interconnected time delay systems using both backstepping control procedures and a dynamic event triggering mechanism, which has the smaller event trigger frequency by comparing the traditional static event-triggered control scheme, such that the tracking error signals converge to a small neighbourhood near the origin and all the signals of the closed-loop system are globally bounded. Finally, a chemical reactor example is given to illustrate the feasibility and significance of the designed control scheme. Journal: International Journal of Systems Science Pages: 593-612 Issue: 3 Volume: 53 Year: 2022 Month: 02 X-DOI: 10.1080/00207721.2021.1966547 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1966547 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:3:p:593-612 Template-Type: ReDIF-Article 1.0 Author-Name: E. G. Hernandez-Martinez Author-X-Name-First: E. G. Author-X-Name-Last: Hernandez-Martinez Author-Name: Jaime González-Sierra Author-X-Name-First: Jaime Author-X-Name-Last: González-Sierra Author-Name: Eduardo Alvarez-Guzman Author-X-Name-First: Eduardo Author-X-Name-Last: Alvarez-Guzman Author-Name: Guillermo Fernandez-Anaya Author-X-Name-First: Guillermo Author-X-Name-Last: Fernandez-Anaya Author-Name: Enrique D. Ferreira-Vazquez Author-X-Name-First: Enrique D. Author-X-Name-Last: Ferreira-Vazquez Author-Name: José-Job Flores-Godoy Author-X-Name-First: José-Job Author-X-Name-Last: Flores-Godoy Title: Multi-robot formation based on RSSI power level and radiation pattern Abstract: This paper studies a formation control scheme to achieve a ‘dispersion’ of a group of robots using the Received Signal Strength Indication (RSSI) measurements of their on-board wireless nodes as feedback signals and their antenna radiation patterns (which is not omnidirectional in most of the cases) as a distance sensor between pairs of robots. In this sense, the multi-robot coordination evolves from a distance formation control to a power-based dispersion strategy. Thus, with the use of feedback through RSSI levels, the heading angle between the agents and the differences of its orientation angles, the control law becomes decentralised, avoiding the need of distance sensors. The result applies to a group of robots with a directed spanning tree topology, with root in the leader and the rest of followers are formed with respect to a unique local leader. The approach considers distinct radiation patterns found in Bluetooth or WiFi communication devices. As the approach ensures the convergence to desired values of RSSI, then a connectivity between the wireless nodes can be adjusted to maintain a desired communication data rate and wireless coverage by the robots posture. Simulations and real-time experiments illustrate the performance of the system. Journal: International Journal of Systems Science Pages: 634-651 Issue: 3 Volume: 53 Year: 2022 Month: 02 X-DOI: 10.1080/00207721.2021.1969467 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1969467 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:3:p:634-651 Template-Type: ReDIF-Article 1.0 Author-Name: Ondřej Straka Author-X-Name-First: Ondřej Author-X-Name-Last: Straka Author-Name: Ivo Punčochář Author-X-Name-First: Ivo Author-X-Name-Last: Punčochář Title: Distributed design for active fault diagnosis Abstract: The paper deals with active fault diagnosis of stochastic large-scale systems consisting of several subsystems with separate inputs and observations, which are coupled through the system state. The subsystems are described by multiple models expressing their fault-free and faulty behaviour. The transition between the models is governed by a Markov chain. The paper proposes a distributed design of an active fault diagnosis algorithm, which takes into account the coupling among the subsystems in all stages of the algorithm. This results in a higher quality of the excitation signal and consequently in better decisions. The numerical example shows the improved performance of the proposed algorithm in comparison with the algorithms based on the decentralised design. Journal: International Journal of Systems Science Pages: 562-574 Issue: 3 Volume: 53 Year: 2022 Month: 02 X-DOI: 10.1080/00207721.2021.1963501 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1963501 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:3:p:562-574 Template-Type: ReDIF-Article 1.0 Author-Name: Mourad Kchaou Author-X-Name-First: Mourad Author-X-Name-Last: Kchaou Author-Name: Houssem Jerbi Author-X-Name-First: Houssem Author-X-Name-Last: Jerbi Author-Name: Belgacem Toual Author-X-Name-First: Belgacem Author-X-Name-Last: Toual Author-Name: Abdallah Kouzou Author-X-Name-First: Abdallah Author-X-Name-Last: Kouzou Title: Non-fragile mixed H∞/passive-based asynchronous sliding mode control for nonlinear singular Markovian jump systems Abstract: In this paper, the problem of asynchronous sliding mode control (SMC) is addressed for discrete-time singular Markovian jump systems (DSMJSs) with external disturbances and randomly occurring nonlinearities. Moreover, the states of DSMJSs are unavailable for measurement, and the synchronisation between the controller and the system modes is not surely ensured. Our attention is mainly focused on solving the control problem by proposing an observer-based adaptive sliding mode controller for such a class of complex systems. First, a non-fragile observer is designed not only to estimate the system states but also to relax the multiplicative gain variations and to construct an appropriate mode-dependent sliding mode surface function. Then, by assuming that the bounds of nonlinear terms are unknown, an adaptive SMC control law is synthesised to drive the system trajectories onto the specified sliding surface and completely compensate for the influences of the external disturbances and fluctuations of the controller and observer gains. Sufficient conditions are established to ensure that the closed-loop system is stochastically admissible with a γ level of the mixed $ H_\infty $ H∞/passive performance, and to provide the observer and controller gain matrices. Finally, to numerically substantiate the efficacy of the proposed control scheme, two examples are given. Journal: International Journal of Systems Science Pages: 447-467 Issue: 3 Volume: 53 Year: 2022 Month: 02 X-DOI: 10.1080/00207721.2021.1961912 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1961912 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:3:p:447-467 Template-Type: ReDIF-Article 1.0 Author-Name: Guangren Duan Author-X-Name-First: Guangren Author-X-Name-Last: Duan Title: High-order fully-actuated system approaches: Part IX. Generalised PID control and model reference tracking Abstract: Tracking control of general dynamical systems in high-order fully actuated (HOFA) system representation is solved. For the case of tracking a constant or slow time-varying signal in the presence of constant or slow time-varying disturbances, a generalised PID control scheme is proposed, which realises asymptotical tracking to a prescribed signal and also guarantees that the state derivatives of certain orders converge to the origin. For the case that the signal to be tracked is generated by a reference model, a model reference tracking (MRT) controller is presented, which relies on the solution to a type of generalised Sylvester matrix equations and guarantees the desired asymptotical tracking requirement. Due to the full-actuation property of the HOFA models, closed-loop systems under both control schemes are constant and linear. Furthermore, based on a general parametric solution to the type of Sylvester matrix equations and a general parametric eigenstructure assignment result, simple and complete parameterisation of the two types of control designs are provided, and feasibility conditions in terms of the system initial values for sub-fully actuated systems are also derived. An illustrative example is presented to demonstrate the application of the proposed approaches and their effects. Journal: International Journal of Systems Science Pages: 652-674 Issue: 3 Volume: 53 Year: 2022 Month: 02 X-DOI: 10.1080/00207721.2021.1970277 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1970277 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:3:p:652-674 Template-Type: ReDIF-Article 1.0 Author-Name: Ji Qi Author-X-Name-First: Ji Author-X-Name-Last: Qi Author-Name: Yanhui Li Author-X-Name-First: Yanhui Author-X-Name-Last: Li Title: Event-triggered L2 − L∞ filtering for asynchronous switched LPV systems with mode-dependent average dwell time Abstract: In this paper, event-triggered L2 − L∞ filtering problem for a class of switched linear parameter varying systems with both mode-dependent average dwell time and asynchronous switching is concerned. A new sampled delay-dependent and parameterised filtering error switched system is constructed on the basis of event-triggered communication scheme. Results on exponential stability with a prescribed L2 − L∞ performance are proposed by exploiting the parameter-dependent Lyapunov–Krasovskii functional and the mode-dependent average dwell time method, which is less rigid with requirement of minimal average dwell time of the switching signal. Furthermore, the gains of the parameter-dependent filter with mismatched system mode are solved in terms of linear matrix inequalities, meanwhile, the parallel results with the matched case are also obtained. Finally, a numerical example is provided to show the effectiveness and potential of the proposed design scheme. Journal: International Journal of Systems Science Pages: 538-561 Issue: 3 Volume: 53 Year: 2022 Month: 02 X-DOI: 10.1080/00207721.2021.1963500 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1963500 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:3:p:538-561 Template-Type: ReDIF-Article 1.0 Author-Name: Huifang Sun Author-X-Name-First: Huifang Author-X-Name-Last: Sun Author-Name: Xiaowen Wang Author-X-Name-First: Xiaowen Author-X-Name-Last: Wang Author-Name: Jing Zhang Author-X-Name-First: Jing Author-X-Name-Last: Zhang Author-Name: Shuai Liu Author-X-Name-First: Shuai Author-X-Name-Last: Liu Title: Distributed constrained consensus for discrete multi-agent systems with additive noises Abstract: In this paper, we investigate the constrained consensus problem for discrete multi-agent systems subject to additive noises. Each agent can only receive relative state measurements corrupted by noises from its neighbours. Two control protocols are designed under some mild assumptions of the noises and the structure of the network. The first protocol is designed with constant control gain, and the constrained consensus error bound is obtained. Asymptotic constrained consensus can be further achieved under the second control protocol in which case time-varying gains are adopted. Finally, two numerical examples are given to illustrate the effectiveness of our results. Journal: International Journal of Systems Science Pages: 468-477 Issue: 3 Volume: 53 Year: 2022 Month: 02 X-DOI: 10.1080/00207721.2021.1961913 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1961913 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:3:p:468-477 Template-Type: ReDIF-Article 1.0 Author-Name: Rajini Makam Author-X-Name-First: Rajini Author-X-Name-Last: Makam Author-Name: Koshy George Author-X-Name-First: Koshy Author-X-Name-Last: George Title: Convex combination of multiple models for discrete-time adaptive control Abstract: The principal drawback of traditional adaptive systems is the possibility of rather poor transient response. In this regard, the multiple-model methodology has been beneficial over the past couple of decades. However, the application of this methodology requires proven indirect model reference adaptive control. Such a gap exists in the case of discrete-time linear time-invariant systems with unknown parameters. The principal contribution of this paper is to fill this void by arriving at proof of global stability of discrete-time adaptive systems that use the prediction error rather than the control error to update the parameters of the prediction model. This proof is based on the theory of Lyapunov and the properties of square-summable sequences. An analysis of the available literature reveals that such a result is not available even for linear time-invariant systems. Therefore, the proof is first provided for adaptive systems with a single prediction model wherein the transfer function of the plant has an arbitrary relative degree. Subsequently, this proof is extended to the case of multiple prediction models in the context of multiple-model methodology with second-level adaptation. Two parameter update algorithms are considered. Simulation studies are included to demonstrate the improvement in transient performance. Journal: International Journal of Systems Science Pages: 743-756 Issue: 4 Volume: 53 Year: 2022 Month: 03 X-DOI: 10.1080/00207721.2021.1972355 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1972355 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:4:p:743-756 Template-Type: ReDIF-Article 1.0 Author-Name: Shahram Hosseini Author-X-Name-First: Shahram Author-X-Name-Last: Hosseini Author-Name: M. Navabi Author-X-Name-First: M. Author-X-Name-Last: Navabi Author-Name: Masoud Hajarian Author-X-Name-First: Masoud Author-X-Name-Last: Hajarian Title: A robust meta-heuristic adaptive Bi-CGSTAB algorithm to online estimation of a three DoF state–space model in the presence of disturbance and uncertainty Abstract: Most control systems require a fairly accurate model of dynamic system to design or implement a controller. When system dynamics change, the dynamic model must undergo online or offline re-estimation. The online model estimation algorithms in the time domain, especially for large models in presence of sensor noise, model uncertainty and external disturbance are almost inaccurate and unstable. In this paper, based on the dynamic model characteristics a novel online robust meta-heuristic adaptive Bi Conjugate Gradient Stabilized (Bi-CGSTAB) algorithm is proposed to estimate the model parameters and attitude simultaneously. First, the model is estimated iteratively using the output of attitude estimation from the Kalman filter algorithm, and the attitude is estimated by the output of estimated model from the least square method. The estimation method focuses on the solving algorithm of the matrix equations of the model estimation. The online robust meta-heuristic adaptive Bi-CGSTAB method uses the information of previous iteration in the current iteration to set the solving-steps toward the local optimums. This method leads to a broader and more intelligent search in the Krylov subspace of answers. The numerical results show a higher performance, robustness and more accurate model estimation than the other stated methods in the paper. $ 50\% $ 50% Journal: International Journal of Systems Science Pages: 833-850 Issue: 4 Volume: 53 Year: 2022 Month: 03 X-DOI: 10.1080/00207721.2021.1975849 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1975849 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:4:p:833-850 Template-Type: ReDIF-Article 1.0 Author-Name: Ghodsieh Ghanbari Author-X-Name-First: Ghodsieh Author-X-Name-Last: Ghanbari Author-Name: Mohsen Razzaghi Author-X-Name-First: Mohsen Author-X-Name-Last: Razzaghi Title: Numerical solutions for fractional optimal control problems by using generalised fractional-order Chebyshev wavelets Abstract: This paper proposes a new numerical method for solving fractional optimal control problems (FOCPs). The method is based on generalised fractional-order Chebyshev wavelets (GFOCW). The exact value of the Riemann–Liouville fractional integral operator of the GFOCW is given by applying the incomplete beta function. By using the properties of GFOCW and the collocation method, the FOCP is reduced to a parameter optimisation problem. The last problem is solved by known algorithms. Six numerical examples are given. One of them is an application example in a cancer model. Through these numerical examples, we will show that for some cases of our examples, we will get the exact solutions. These solutions were not obtained previously in the literature. In addition, our method gives more accurate results in comparison with the existing methods. Journal: International Journal of Systems Science Pages: 778-792 Issue: 4 Volume: 53 Year: 2022 Month: 03 X-DOI: 10.1080/00207721.2021.1972357 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1972357 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:4:p:778-792 Template-Type: ReDIF-Article 1.0 Author-Name: Kooktae Lee Author-X-Name-First: Kooktae Author-X-Name-Last: Lee Author-Name: Rabiul Hasan Kabir Author-X-Name-First: Rabiul Author-X-Name-Last: Hasan Kabir Title: Density-aware decentralised multi-agent exploration with energy constraint based on optimal transport theory Abstract: This paper addresses a density-aware multi-agent exploration problem based on an Optimal Transport (OT) theory while considering energy constraints of a multi-agent system. The density-aware exploration means how a team of agents (robots) cover a given domain, reflecting a priority of areas of interest represented by a density distribution, rather than simply following a preset of uniform patterns. To achieve the density-aware multi-agent exploration, the optimal transport theory that quantifies a distance between two density distributions is employed as a tool, which also serves as a means of similarity measure. Energy constraints for a multi-agent system are then incorporated into the OT-based density-aware multi-agent exploration scheme. The proposed method is developed targeting a decentralised control to cope with more realistic scenarios such as communication range limits between agents. To measure the exploration efficiency, the upper bound of the similarity measure is proposed, which is computationally tractable. The developed multi-agent exploration scheme is applicable to a time-varying distribution as well, where a spatio-temporal evolution of the given reference distribution is desired. To validate the proposed method, multiple simulation results are provided. Journal: International Journal of Systems Science Pages: 851-869 Issue: 4 Volume: 53 Year: 2022 Month: 03 X-DOI: 10.1080/00207721.2021.1976305 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1976305 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:4:p:851-869 Template-Type: ReDIF-Article 1.0 Author-Name: Farshid Entessari Author-X-Name-First: Farshid Author-X-Name-Last: Entessari Author-Name: Ali Najafi Ardekany Author-X-Name-First: Ali Author-X-Name-Last: Najafi Ardekany Author-Name: Aria Alasty Author-X-Name-First: Aria Author-X-Name-Last: Alasty Title: Boundary control of a vertical nonlinear flexible manipulator considering disturbance observer and deflection constraint with torque and boundary force feedback signals Abstract: In this paper, boundary control (BC) laws are designed to find a BC solution for a single-link nonlinear vertical manipulator to suppress the link’s transverse vibrations and control the rigid body nonlinear large rotating motion. The governing equations of motions and boundary conditions, which all consist of a set of PDEs and ODEs have been derived based on the Hamilton principle. It is desired to regulate large angular orientation, suppress the flexible link’s transverse vibrations and compensate the boundary disturbance simultaneously. The amount of elastic boundary vibration has remained within the constraint range. By considering novel Barrier-Integral Lyapunov functional in order to prevent the amount of boundary deflection from violating the constraints and avoiding any simplifications, in the presence of external boundary disturbance, proper control feedbacks and boundary disturbance observer are adopted in order to reach control objectives and to compensate external boundary disturbance effects simultaneously. By choosing proper boundary feedback, system states are proven to be uniform ultimate bounded and converge exponentially toward a small neighbourhood of zero. In order to illustrate the performance of the proposed control approach, numerical simulation results are provided. Journal: International Journal of Systems Science Pages: 704-725 Issue: 4 Volume: 53 Year: 2022 Month: 03 X-DOI: 10.1080/00207721.2021.1971793 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1971793 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:4:p:704-725 Template-Type: ReDIF-Article 1.0 Author-Name: Yamiao Zhang Author-X-Name-First: Yamiao Author-X-Name-Last: Zhang Author-Name: Jian Liu Author-X-Name-First: Jian Author-X-Name-Last: Liu Author-Name: Xiaoe Ruan Author-X-Name-First: Xiaoe Author-X-Name-Last: Ruan Title: Learning ability of iterative learning control system with a randomly varying trial length Abstract: This paper investigates the learning ability of iterative learning control (ILC) system with a randomly varying trial length (RVTL). The randomness of trial length is modelled as a discrete stochastic sequence. Firstly, we study the output controllability of the control system over a finite time interval. It is shown that the control system is completely controllable if and only if the input–output coupling matrix (IOCM) is full-row rank. Secondly, we propose an intermittent learning scheme with state feedback. It is strictly proved that under appropriate constraints on the learning gain and the IOCM, the ILC system with RVTL has full learning ability if and only if the probability that the trial length is equal to the desired one is greater than zero. There must exist state feedback such that the ILC process is monotonically convergent. Meanwhile, we illustrate that the proposed convergence conditions can ensure the almost sure convergence property of system output. Finally, an example is given to illustrate the merits of the ILC system with state feedback. Journal: International Journal of Systems Science Pages: 870-882 Issue: 4 Volume: 53 Year: 2022 Month: 03 X-DOI: 10.1080/00207721.2021.1976306 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1976306 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:4:p:870-882 Template-Type: ReDIF-Article 1.0 Author-Name: Dan Peng Author-X-Name-First: Dan Author-X-Name-Last: Peng Author-Name: Hanmei Nie Author-X-Name-First: Hanmei Author-X-Name-Last: Nie Title: Stabilisation for 2-D discrete-time switched nonlinear systems with mixed time-varying delays under all modes unstable Abstract: The problem of delay-dependent stability is concerned for two-dimensional switched systems in Fornasini-Marchesini local state-space model with mixed time-varying delays and with a class of generalised Lipschitz nonlinearities in this paper. The mixed time-varying delays consist of both the discrete and the distributed delays, and the time-varying delays are allowed in the states. Adopting the fast average dwell-time switching technique with Lyapunov functional, a sufficient condition of the exponential stability for two-dimensional nonlinear switched systems with all subsystems unstable is derived in terms of linear matrix inequality. Specifically, two-dimensional Abel lemma-based finite-sum inequalities approach and Jensen inequalities approach are applied to reduce the conservativeness of the result. The obtained result on stability analysis is then utilised to design a dynamic output feedback controller to stabilise the nonlinear closed-loop switched system. Finally, two numerical examples are shown to demonstrate the validity of the proposed results. Journal: International Journal of Systems Science Pages: 757-777 Issue: 4 Volume: 53 Year: 2022 Month: 03 X-DOI: 10.1080/00207721.2021.1972356 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1972356 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:4:p:757-777 Template-Type: ReDIF-Article 1.0 Author-Name: Qijia Yao Author-X-Name-First: Qijia Author-X-Name-Last: Yao Title: Robust fixed-time trajectory tracking control of marine surface vessel with feedforward disturbance compensation Abstract: This paper proposes a novel robust fixed-time control approach for the trajectory tracking control of a fully actuated marine surface vessel (MSV) subject to system uncertainties and external disturbances. First, a nominal fixed-time controller is originally designed based on the bi-limit homogeneous method. The nominal fixed-time controller can guarantee the position and velocity tracking errors converge to zero in fixed time in the absence of lumped disturbance. Then, a new type of fixed-time disturbance observer is introduced to estimate the lumped disturbance in fixed time. Finally, a robust fixed-time controller is developed by integrating the nominal fixed-time controller with the fixed-time disturbance observer. The robust fixed-time controller can guarantee the position and velocity tracking errors converge to zero in fixed time even in the presence of lumped disturbance. Benefiting from the feedforward disturbance compensation, the robust fixed-time controller has the strong robustness and excellent disturbance attenuation capability. Numerical simulations and comparisons demonstrate the effectiveness and advantages of the proposed control approach. Journal: International Journal of Systems Science Pages: 726-742 Issue: 4 Volume: 53 Year: 2022 Month: 03 X-DOI: 10.1080/00207721.2021.1972354 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1972354 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:4:p:726-742 Template-Type: ReDIF-Article 1.0 Author-Name: Toshio Yoshimura Author-X-Name-First: Toshio Author-X-Name-Last: Yoshimura Title: Prescribed performance control for MIMO stochastic discrete-time nonlinear systems in a strict-feedback form using a set of noisy measurements Abstract: This paper presents a prescribed performance control for MIMO stochastic discrete-time nonlinear systems in a strict-feedback form using a set of noisy measurements. The prescribed performance control is proposed as follows. Transforming the un-constrained states into the constrained states, the proposed prescribed performance control with state constraints is designed based on the approach of backstepping control and the Lyapunov function without using approximate approaches. The nonlinear uncertainty is approximated as the fuzzy logic system based on the simplified extended single input rule modules to reduce the number of the fuzzy IF–THEN rules. The estimator to take the estimates for the unmeasurable states and the adjustable parameters is in a simplified structure designed. The effectiveness of the proposed approach is indicated through the simulation experiment of a simple numerical system. Journal: International Journal of Systems Science Pages: 689-703 Issue: 4 Volume: 53 Year: 2022 Month: 03 X-DOI: 10.1080/00207721.2021.1971322 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1971322 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:4:p:689-703 Template-Type: ReDIF-Article 1.0 Author-Name: Chang Liu Author-X-Name-First: Chang Author-X-Name-Last: Liu Author-Name: Jie Li Author-X-Name-First: Jie Author-X-Name-Last: Li Author-Name: Ming Lin Author-X-Name-First: Ming Author-X-Name-Last: Lin Author-Name: Yanling Yang Author-X-Name-First: Yanling Author-X-Name-Last: Yang Author-Name: Hongxia Rao Author-X-Name-First: Hongxia Author-X-Name-Last: Rao Title: Finite-time synchronisation for periodic delayed master-slave neural networks with weighted try-once-discard protocol Abstract: This paper focuses on the finite-time (FT) synchronisation for master-slave periodic neural networks (NNs) with mixed time-varying delays. In order to make full use of the limited network bandwidth caused by sensor energy constraint, a transmission channel assignment method is established, and a weighted try-once-discard (WTOD) protocol is employed for each channel. A WTOD protocol-dependent periodic controller is designed to ensure that the slave periodic NNs can synchronise with the master one. Based on a periodic Lyapunov–Krasovskii function, sufficient conditions are established to guarantee that the synchronisation error system is FT bounded. Finally, a numerical example is presented to demonstrate the validity of the theoretical results. Journal: International Journal of Systems Science Pages: 675-688 Issue: 4 Volume: 53 Year: 2022 Month: 03 X-DOI: 10.1080/00207721.2021.1970278 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1970278 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:4:p:675-688 Template-Type: ReDIF-Article 1.0 Author-Name: Mohamed Siddiq Zatout Author-X-Name-First: Mohamed Siddiq Author-X-Name-Last: Zatout Author-Name: Amar Rezoug Author-X-Name-First: Amar Author-X-Name-Last: Rezoug Author-Name: Abdellah Rezoug Author-X-Name-First: Abdellah Author-X-Name-Last: Rezoug Author-Name: Khalifa Baizid Author-X-Name-First: Khalifa Author-X-Name-Last: Baizid Author-Name: Jamshed Iqbal Author-X-Name-First: Jamshed Author-X-Name-Last: Iqbal Title: Optimisation of fuzzy logic quadrotor attitude controller – particle swarm, cuckoo search and BAT algorithms Abstract: Bio-inspired optimisation algorithms have recently attracted much attention in the control community. Most of these algorithms mimic particular behaviours of some animal species in such a way that allows solving optimisation problems. The present paper aims at applying three metaheuristic methods for optimising fuzzy logic controllers used for quadrotor attitude stabilisation. The investigated methods are particle swarm optimisation (PSO), BAT algorithm and cuckoo search (CS). These methods are applied to find the best output distribution of singleton membership functions of the fuzzy controllers. The quadrotor control requires measured responses, therefore, three objective functions are considered: integral squared error, integral time-weighted absolute error and integral time-squared error. These metrics allow performance comparison of the controllers in terms of tracking errors and speed of convergence. The simulation results indicate that BAT algorithm demonstrated higher performance than both PSO and CS. Furthermore, BAT algorithm is capable of offering 50% less computation time than CS and 10% less time than PSO. In terms of fitness, BAT algorithm achieved an average of 5% better fitness than PSO and 15% better than CS. According to these results, the BAT-based fuzzy controller exhibits superior performance compared with other algorithms to stabilise the quadrotor. Journal: International Journal of Systems Science Pages: 883-908 Issue: 4 Volume: 53 Year: 2022 Month: 03 X-DOI: 10.1080/00207721.2021.1978012 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1978012 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:4:p:883-908 Template-Type: ReDIF-Article 1.0 Author-Name: Guangren Duan Author-X-Name-First: Guangren Author-X-Name-Last: Duan Title: High-order fully actuated system approaches: Part X. Basics of discrete-time systems Abstract: A basic introduction to high-order fully actuated (HOFA) approaches for discrete-time systems is given. Firstly, it is shown that, different from the continuous-time systems, general dynamical discrete-time systems can be represented by two types of discrete-time HOFA models, namely, the step forward HOFA models and the step backward HOFA models. Secondly, controllers for the step backward HOFA models are designed, which result in constant linear closed-loop systems with arbitrarily assignable eigenstructures. The related problem of feasibility is also discussed. The well-known discrete-time feedback linearisable systems and strict-feedback systems are shown to be equivalent to both the step forward and step backward HOFA models. Finally, a generalised step backward HOFA model containing control vectors of different time instants is proposed and investigated and demonstrated with a type of proposed pseudo feed-forward systems. The contribution in this paper has laid a fundamental basis for discrete-time HOFA approaches. Further analysis and design problems can be naturally established parallel to the continuous-time system case. Journal: International Journal of Systems Science Pages: 810-832 Issue: 4 Volume: 53 Year: 2022 Month: 03 X-DOI: 10.1080/00207721.2021.1975848 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1975848 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:4:p:810-832 Template-Type: ReDIF-Article 1.0 Author-Name: Lisai Gao Author-X-Name-First: Lisai Author-X-Name-Last: Gao Author-Name: Fuqiang Li Author-X-Name-First: Fuqiang Author-X-Name-Last: Li Author-Name: Jingqi Fu Author-X-Name-First: Jingqi Author-X-Name-Last: Fu Title: Event-triggered output-based control of T-S fuzzy systems under quantisation, actuator saturation and cyber attacks Abstract: This paper studies output-based event-triggered security control of networked T-S fuzzy systems under signal quantisation, actuator saturation and deception attacks governed by a Bernoulli distribution. Firstly, using periodically sampled output of a T-S fuzzy system, a discrete event-triggered mechanism (ETM) is introduced to save network bandwidth, which excludes Zeno behaviour absolutely. Secondly, a closed-loop system model is built, which integrates parameters of the T-S fuzzy plant, the ETM, quantiser, actuator saturation, stochastic attacks, network-induced delays and fuzzy dynamic output feedback controller in a unified framework. Thirdly, sufficient conditions for asymptotic stability of the T-S fuzzy system are obtained, and further a fuzzy output-based security controller is designed. Finally, examples confirm effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 793-809 Issue: 4 Volume: 53 Year: 2022 Month: 03 X-DOI: 10.1080/00207721.2021.1973145 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1973145 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:4:p:793-809 Template-Type: ReDIF-Article 1.0 Author-Name: Jianye Gong Author-X-Name-First: Jianye Author-X-Name-Last: Gong Author-Name: Bin Jiang Author-X-Name-First: Bin Author-X-Name-Last: Jiang Author-Name: Yajie Ma Author-X-Name-First: Yajie Author-X-Name-Last: Ma Author-Name: Xiaodong Han Author-X-Name-First: Xiaodong Author-X-Name-Last: Han Author-Name: Jianglei Gong Author-X-Name-First: Jianglei Author-X-Name-Last: Gong Title: Distributed adaptive fault-tolerant supervisory control for leader-following systems with actuator faults Abstract: This paper investigates an adaptive cooperative fault-tolerant supervisory control problem for nonlinear strict-feedback leader-following systems with unknown control coefficients and actuator faults under the fixed directed graph. Radial basis function neural networks are used to approximate system uncertainties. The Nussbaum gain technique is introduced to address unknown signs of control gains. Then, based on the dynamic surface control method, a distributed adaptive fault-tolerant control scheme is presented to compensate for the actuator faults of followers. For neural networks approximation theory, the unknown smooth function can only be approximated on a compact set due to the approximation errors. By theoretic analysis, the supervisory-based adaptive controllers are proposed to guarantee that system state signals can converge to compact sets and the leader-following systems can achieve the practical output consensus. Finally, the simulation results are provided to show the validity of the proposed consensus scheme. Journal: International Journal of Systems Science Pages: 967-981 Issue: 5 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1979688 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1979688 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:5:p:967-981 Template-Type: ReDIF-Article 1.0 Author-Name: Changda Zhang Author-X-Name-First: Changda Author-X-Name-Last: Zhang Author-Name: Dajun Du Author-X-Name-First: Dajun Author-X-Name-Last: Du Author-Name: Qing Sun Author-X-Name-First: Qing Author-X-Name-Last: Sun Author-Name: Xue Li Author-X-Name-First: Xue Author-X-Name-Last: Li Author-Name: Aleksandar Rakić Author-X-Name-First: Aleksandar Author-X-Name-Last: Rakić Author-Name: Minrui Fei Author-X-Name-First: Minrui Author-X-Name-Last: Fei Title: Security weakness of dynamic watermarking-based detection for generalised replay attacks Abstract: Dynamic watermarking (DW)-based detection methods can effectively detect replay attacks, however these detection methods cannot achieve the desired effectiveness for generalised replay attacks (GRAs). The objectiveness of this paper is to investigate security weakness of DW-based detection for GRAs. Firstly, unlike replaying history data from replay attacks, data accuracy compromised by GRAs is analysed, where their characteristics are similar to that compromised by replay attacks, and the current data are distorted by typical GRAs such as injection, replacement and scaling attacks. Secondly, considering the corresponding hidden Markov models of different types of GRAs, the stealthiness is quantified by auto covariance of residuals and cross covariance between residuals and watermarking signals. It is found that if both auto and cross covariance keep unchanged or increase along with watermarking intensity increasing, GRAs cannot be detected effectively. Thirdly, after DW-based detection is invalid for GRAs, it is proved that the stability of closed-loop systems for open-loop unstable dynamics will be destroyed, or the admissible system state bounds can be crossed within a finite time. Finally, experiments are operated on a networked inverted pendulum platform, and experimental results confirm security weakness of DW-based detection for GRAs. Journal: International Journal of Systems Science Pages: 948-966 Issue: 5 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1979687 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1979687 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:5:p:948-966 Template-Type: ReDIF-Article 1.0 Author-Name: Gholamreza Hesamian Author-X-Name-First: Gholamreza Author-X-Name-Last: Hesamian Author-Name: Mohamad Ghasem Akbari Author-X-Name-First: Mohamad Ghasem Author-X-Name-Last: Akbari Title: Fuzzy cumulative entropy and its estimation based on fuzzy random variables Abstract: The development of a conventional cumulative entropy was reported in this research within a fuzzy domain. For this purpose, the cumulative entropy and its estimators were developed based on fuzzy random variables to explore the predictability of the failure time of a system. Some common properties of the proposed fuzzy cumulative entropy and fuzzy empirical cumulative entropy were also discussed. The developed fuzzy entropies were illustrated via several numerical evaluations. Journal: International Journal of Systems Science Pages: 982-991 Issue: 5 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1983064 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1983064 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:5:p:982-991 Template-Type: ReDIF-Article 1.0 Author-Name: M. H. Heydari Author-X-Name-First: M. H. Author-X-Name-Last: Heydari Author-Name: M. Razzaghi Author-X-Name-First: M. Author-X-Name-Last: Razzaghi Title: Extended Chebyshev cardinal wavelets for nonlinear fractional delay optimal control problems Abstract: In this study, a new family of cardinal wavelets called the extended Chebyshev cardinal wavelets is introduced to investigate problems on arbitrary finite domains. These wavelets possess many beneficial properties, such as spectral (exponential) accuracy, cardinality and orthogonality. The classical and fractional derivative matrices together with the fractional integral matrix of these wavelets are obtained. Two formulations of delay optimal control problems with a dynamical system involved with fractional derivatives are introduced. Two direct approaches based on these wavelets, together with their fractional derivative and integral matrices, are adopted for solving such problems. The presented methods transform solving the problems under study into solving constrained minimisation problems by approximating the state and control variables via the expressed wavelets. Some numerical examples are provided to show the efficiency of the expressed wavelet methods. Journal: International Journal of Systems Science Pages: 1048-1067 Issue: 5 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1987579 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1987579 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:5:p:1048-1067 Template-Type: ReDIF-Article 1.0 Author-Name: Kai Wan Author-X-Name-First: Kai Author-X-Name-Last: Wan Title: Robust high-order iterative learning control approach for two-dimensional linear discrete time-varying Fornasini–Marchesini systems with iteration-dependent reference trajectory Abstract: This paper first investigates robust tracking problem of a high-order iterative learning control (HOILC) algorithm for two classes of two-dimensional linear discrete time-varying Fornasini–Marchesini systems (2-D LDTVFMS) and 2-D LDTVFMS with input delays with iteration-dependent reference trajectory described by a high-order internal model (HOIM) operator, boundary states and disturbances. An extended high-order linear discrete inequality is proposed to guarantee the ILC tracking error of 2-D LDTVFMS converge robustly to a bounded range, the bound of which is relied on iteration-dependent uncertainties from reference trajectory, boundary states and disturbances. A simulation example on a practical thermal process is used to validate the effectiveness and feasibility of the proposed HOILC law. Additionally, it is verified by theory analysis and simulation that no matter how the ILC controller gain is selected, the convergence condition in Theorem 2 of Wan and Li [(2021). High-order internal model based iterative learning control for 2-D linear FMMI systems with iteration-varying trajectory tracking. IEEE Transactions on Systems Man and Cybernetics: Systems, 51, 1462–1472] is not satisfied. Using the proposed HOILC law, perfect tracking result in Theorem 2 of Wan and Li (2021) can be obtained. Journal: International Journal of Systems Science Pages: 1068-1089 Issue: 5 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1988188 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1988188 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:5:p:1068-1089 Template-Type: ReDIF-Article 1.0 Author-Name: Erfan Amini Author-X-Name-First: Erfan Author-X-Name-Last: Amini Author-Name: Mehdi Rahmani Author-X-Name-First: Mehdi Author-X-Name-Last: Rahmani Title: Stabilising PID controller for time-delay systems with guaranteed gain and phase margins Abstract: A new analytical-graphical method is proposed for computing the region of stability for proportional-integral-derivative (PID) controllers based on the Hermite–Biehler theorem. By this method, a PID controller is designed to ensure the Hurwitz stability of a time-delay system with any order of transfer function. First, the possible range of the derivative part that makes the system stable is obtained. Then, the stability region is found by applying the Hermite–Biehler theorem. It is shown that this theorem can be extended to quasi-polynomials functions in the form of $ \psi (\nu,e^\nu ) $ ψ(ν,eν) to find the stability region of systems with time delay under certain conditions. Using this, the proposed approach can guarantee specified gain and phase margins for time-delay systems; therefore, it is very beneficial and advantageous for the control of practical plants. Five different examples including two practical systems are studied throughout the paper to illustrate the applicability, performance, and efficiency of the proposed control approach. Journal: International Journal of Systems Science Pages: 1004-1016 Issue: 5 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1986598 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1986598 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:5:p:1004-1016 Template-Type: ReDIF-Article 1.0 Author-Name: Qiliang Luo Author-X-Name-First: Qiliang Author-X-Name-Last: Luo Author-Name: Shan Xue Author-X-Name-First: Shan Author-X-Name-Last: Xue Author-Name: Derong Liu Author-X-Name-First: Derong Author-X-Name-Last: Liu Title: Adaptive critic designs for decentralised robust control of nonlinear interconnected systems via event-triggering mechanism Abstract: In this article, a novel decentralised event-triggered control scheme is developed for the robust stabilisation of interconnected systems. The existing literature about decentralised robust control by adaptive critic designs (ACDs) is mostly time-triggered which requires extensive communication and computation. To extend the ACD framework and save the communication and computational resources, the event-triggered decentralised control using ACDs is investigated. First, we utilise a series of auxiliary subsystems to restructure the interconnected systems in a distributed way, so as to transform the robust control problem into the corresponding optimal control problem. Then, adaptive critic designs with event-triggering mechanism are investigated to solve the Hamilton–Jacobi–Bellman equations via local policy iteration algorithm. The single-critic networks are employed to achieve the approximation of optimal value functions. The Lyapunov stability proof ensures the asymptotic stability of the whole system and the uniform ultimate boundedness of the critic neural networks. Finally, an interconnected plant is employed to demonstrate the effectiveness of proposed method. Journal: International Journal of Systems Science Pages: 1031-1047 Issue: 5 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1987578 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1987578 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:5:p:1031-1047 Template-Type: ReDIF-Article 1.0 Author-Name: Huaying Li Author-X-Name-First: Huaying Author-X-Name-Last: Li Author-Name: Na Lin Author-X-Name-First: Na Author-X-Name-Last: Lin Author-Name: Ronghu Chi Author-X-Name-First: Ronghu Author-X-Name-Last: Chi Title: Event-triggered iterative learning control for linear time-varying systems Abstract: In this paper, an event-triggered P-type iterative learning control (ILC) scheme is developed, where the control input update only occurs in the event-triggered iterations. The event-triggered iterations are determined by a pre-defined event-triggering condition, which is composed of two parts, one is the threshold condition to ensure convergence, the other is derived from the Lyapunov stability principle to ensure stability. The convergence analysis theorem is deduced mathematically. Further, using similar steps, event-triggered PD-type ILC and event-triggered PID-type ILC are proposed. Finally, the simulation results illustrate that the presented algorithms can ensure that the error converges and make the control input update less frequently, so as to realise the goal of saving resources. Journal: International Journal of Systems Science Pages: 1110-1124 Issue: 5 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1989724 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1989724 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:5:p:1110-1124 Template-Type: ReDIF-Article 1.0 Author-Name: Nan Ji Author-X-Name-First: Nan Author-X-Name-Last: Ji Author-Name: Xing-Gang Yan Author-X-Name-First: Xing-Gang Author-X-Name-Last: Yan Author-Name: Zehui Mao Author-X-Name-First: Zehui Author-X-Name-Last: Mao Author-Name: Dongya Zhao Author-X-Name-First: Dongya Author-X-Name-Last: Zhao Author-Name: Bin Jiang Author-X-Name-First: Bin Author-X-Name-Last: Jiang Title: Decentralised state feedback stabilisation for nonlinear interconnected systems using sliding mode control* Abstract: In this paper, the stabilisation problem is considered for a class of nonlinear interconnected systems with matched uncertainties and mismatched unknown interconnections. A composite sliding surface is designed firstly, and a set of conditions is developed to guarantee that the corresponding sliding motion is uniformly asymptotically stable. Then, decentralised state feedback sliding mode control is proposed to drive the interconnected systems to the designed sliding surface in finite time, and a sliding motion is maintained thereafter. The bounds on the uncertainties and interconnections have more general nonlinear forms, which are employed in the control design to reject the effects of uncertainties and unknown interconnections to enhance the robustness. It is not required either the isolated nominal subsystems linearisable or the interconnections linearisable. Finally, a numerical simulation example is presented to demonstrate the effectiveness of the proposed control strategy. Journal: International Journal of Systems Science Pages: 1017-1030 Issue: 5 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1986599 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1986599 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:5:p:1017-1030 Template-Type: ReDIF-Article 1.0 Author-Name: Yongchao Liu Author-X-Name-First: Yongchao Author-X-Name-Last: Liu Author-Name: Qidan Zhu Author-X-Name-First: Qidan Author-X-Name-Last: Zhu Title: Adaptive fuzzy asymptotic control for switched nonlinear systems with state constraints Abstract: This article presents an adaptive fuzzy asymptotic tracking control method for switched nonlinear systems with state constraints. The fuzzy logic systems are employed to dispose the lumped unknown dynamics. The state constraints are addressed with the aid of the barrier Lyapunov function. Moreover, drawing support from some well-defined smooth functions, the asymptotic tracking controller is recursively constructed based on backstepping technique. Through Lyapunov analysis and the common Lyapunov function method, it is shown that the system output tracking error asymptotically converges to zero and all system signals are bounded under the switching signal. Finally, the validity of the developed scheme is elucidated by simulation example. Journal: International Journal of Systems Science Pages: 922-933 Issue: 5 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1979684 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1979684 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:5:p:922-933 Template-Type: ReDIF-Article 1.0 Author-Name: Yang Yu Author-X-Name-First: Yang Author-X-Name-Last: Yu Author-Name: Lusong Ding Author-X-Name-First: Lusong Author-X-Name-Last: Ding Author-Name: Wei Wang Author-X-Name-First: Wei Author-X-Name-Last: Wang Title: Finite-time adaptive fuzzy asymptotic tracking control for PMSMs with full-state constraints Abstract: In this paper, a finite-time adaptive fuzzy control approach is developed for asymptotic tracking control of permanent magnet synchronous motors (PMSMs) with full-state constraints. Multiple nonlinear state-dependent functions are introduced in the control design, such that the rotor position, the rotor angular velocity and the currents of the d-q axis are confined to effective ranges. By combining backstepping control design with the finite-time control technique, a novel adaptive fuzzy tracking control is developed, which can accelerate the convergence speed and improve the robustness of the PMSM servo systems. Moreover, the asymptotic tracking control can be achieved with the aid of a scaling function. It is proven that all signals of the closed-loop system are uniformly ultimately bounded, and the position tracking error can converge to zero asymptotically in finite time. Finally, the simulation results are provided to verify the effectiveness of the proposed control approach, and some comparisons are given to show the rapid and accurate position tracking performance. Journal: International Journal of Systems Science Pages: 992-1003 Issue: 5 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1983065 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1983065 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:5:p:992-1003 Template-Type: ReDIF-Article 1.0 Author-Name: L. P. Fagundes Author-X-Name-First: L. P. Author-X-Name-Last: Fagundes Author-Name: A. S. Morais Author-X-Name-First: A. S. Author-X-Name-Last: Morais Author-Name: L. C. Oliveira-Lopes Author-X-Name-First: L. C. Author-X-Name-Last: Oliveira-Lopes Author-Name: J. S. Morais Author-X-Name-First: J. S. Author-X-Name-Last: Morais Title: Enhanced algorithm for randomised model structure selection Abstract: Model structure selection for nonlinear system identification has been widely studied over the last 30 years due to its great importance. There are many methods in the literature to deal with structure selection, although these methods have their specific benefits, they face some difficulties in selecting the structure for a parsimonious model. In this paper, two methods based on the Randomised Model Structure Selection (RaMSS) approach are introduced in order to deal with the structure selection problem. The first one is the Randomised Model Structure Selection with Error Reduction Ratio (RaMSS-ERR) that uses the error reduction ratio as a filter for the terms analysis, improving the convergence, and the second one is the Randomised Model Structure Selection with Genetic Inheritance (RaMSS-EGI) that uses a genetic inheritance in order to get a faster convergence. The methods were applied to benchmark models and the results are encouraging. Applications to systems with a large candidate regressor set and to a continuous stirred-tank reactor are also carried out. The results show that the proposed method may be used to identify both linear and nonlinear model structures with a reduced number of iterations, computational time, and number of explored models. Journal: International Journal of Systems Science Pages: 1090-1109 Issue: 5 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1988755 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1988755 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:5:p:1090-1109 Template-Type: ReDIF-Article 1.0 Author-Name: Chao Huang Author-X-Name-First: Chao Author-X-Name-Last: Huang Author-Name: Linlin Zhang Author-X-Name-First: Linlin Author-X-Name-Last: Zhang Author-Name: Changzhu Zhang Author-X-Name-First: Changzhu Author-X-Name-Last: Zhang Author-Name: Hao Zhang Author-X-Name-First: Hao Author-X-Name-Last: Zhang Title: A GEVP formulation for robust predictor feedback controller design of linear systems with uncertain input delay Abstract: Predictor feedback controllers are irreplaceable and widely used for systems with long input delays. However, it is also known to be sensitive to mismatch between the nominal input delay and the true unknown one. In this paper, we propose a robust predictor feedback controller design to enlarge the admissible delay mismatch, while keeping the convergence rate within a prescribed level. It is shown that the controller synthesis problem can be cast into a generalised eigenvalue problem (GEVP). Journal: International Journal of Systems Science Pages: 909-921 Issue: 5 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1979683 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1979683 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:5:p:909-921 Template-Type: ReDIF-Article 1.0 Author-Name: Hong-Tao Sun Author-X-Name-First: Hong-Tao Author-X-Name-Last: Sun Author-Name: Chen Peng Author-X-Name-First: Chen Author-X-Name-Last: Peng Author-Name: Cheng Tan Author-X-Name-First: Cheng Author-X-Name-Last: Tan Title: Self-discipline predictive control against large-scale packet dropouts using input delay approach Abstract: This paper develops a novel self-discipline predictive control (SPC) scheme to compensate the missing control inputs of networked control systems (NCS) under arbitrary bounded packet dropouts. Since no feedback measurements are available when there are packet dropouts, the key idea of SPC scheme is that one can adjust its controller gains only based on the latest received state measurement rather than waiting the next available measurement. Then, the future controller gains are predicted by using input delay approach while input to state stability (ISS) is arrived under Lypunov–Krasovskii method and switched system framework. In what follows, the SPC scheme based on the predicted controller gains are used to update the control inputs during packet dropout intervals. A main advantage of this work lies in that the proposed SPC scheme realises a self-stabilisation with only limited feedback measurements under large-scale packet dropouts. At last, simulations on path following control of autonomous vehicles are carried out to show the validity of the proposed SPC scheme. Journal: International Journal of Systems Science Pages: 934-947 Issue: 5 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1979685 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1979685 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:5:p:934-947 Template-Type: ReDIF-Article 1.0 Author-Name: Jie Xu Author-X-Name-First: Jie Author-X-Name-Last: Xu Author-Name: Zongli Lin Author-X-Name-First: Zongli Author-X-Name-Last: Lin Title: Semi-global stabilisation of fractional-order linear systems with actuator saturation by output feedback Abstract: This paper considers the problem of the semi-global asymptotic stabilisation of fractional-order (FO) linear systems subject to actuator saturation by output feedback. To solve the problem, a family of observer-based linear output feedback laws, parameterised in a positive scalar, is proposed by means of the low gain feedback design technique. The design applies to FO linear systems that are stabilisable and detectable, but not exponentially unstable. For such an FO system under the proposed observer-based linear low gain output feedback, the peak value of the control input for a given initial condition can be made arbitrarily small to avoid actuator saturation by decreasing the value of the parameter towards zero and thus semi-global asymptotic stabilisation is achieved. To obtain these results, we establish the properties of low gain feedback, derive asymptotic expansions and the bounds of high-order derivatives of the Mittag-Leffler (ML) functions to estimate the state responses of FO linear systems, and explicitly construct a Hermitian matrix to satisfy a linear matrix inequality (LMI) stability condition for FO linear systems. The results in this paper extend the corresponding results for integer-order (IO) linear systems. Journal: International Journal of Systems Science Pages: 1125-1137 Issue: 6 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1989725 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1989725 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:6:p:1125-1137 Template-Type: ReDIF-Article 1.0 Author-Name: Wen Li Author-X-Name-First: Wen Author-X-Name-Last: Li Author-Name: Yugang Niu Author-X-Name-First: Yugang Author-X-Name-Last: Niu Author-Name: Zhiru Cao Author-X-Name-First: Zhiru Author-X-Name-Last: Cao Title: Event-triggered sliding mode control for multi-agent systems subject to channel fading Abstract: This study considers the consensus tracking problem for second-order multi-agent systems subject to channel fading. In order to reduce the network burden, an event-triggered strategy is introduced to lessen the frequency of information transmission between agents, based on which an event-triggered sliding mode controller is designed. Meanwhile, considering that the transmission among followers will be affected by channel fading, the statistical characteristic of channel fading is integrated into the measurement function of consensus tracking errors. Both the reachability and stability of the multi-agent system are analysed theoretically, and it is also proved that the event triggering strategy can exclude Zeno behaviour. Finally, a simulation example is provided. Journal: International Journal of Systems Science Pages: 1233-1244 Issue: 6 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1995527 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1995527 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:6:p:1233-1244 Template-Type: ReDIF-Article 1.0 Author-Name: Leonardo Pedroso Author-X-Name-First: Leonardo Author-X-Name-Last: Pedroso Author-Name: Pedro Batista Author-X-Name-First: Pedro Author-X-Name-Last: Batista Author-Name: Paulo Oliveira Author-X-Name-First: Paulo Author-X-Name-Last: Oliveira Author-Name: Carlos Silvestre Author-X-Name-First: Carlos Author-X-Name-Last: Silvestre Title: Discrete-time distributed Kalman filter design for networks of interconnected systems with linear time-varying dynamics Abstract: This paper addresses the problem of designing distributed state estimation solutions for a network of interconnected systems modelled by linear time-varying (LTV) dynamics in a discrete-time framework. The problem is formulated as a classical optimal estimation problem, for the global system, subject to a given sparsity constraint on the filter gain, which reflects the distributed nature of the network. Two methods are presented, both of them able to compute a sequence of well-performing stabilising gains. Moreover, both methods are validated by resorting to simulations of: (i) a randomly generated synthetic LTV system; and (ii) a large-scale nonlinear network of interconnected tanks. One of the proposed methods relies on a computationally efficient solution, thus it is computed very rapidly. The other achieves better performance, but it is computationally more expensive and requires that a window of the future dynamics of the system is known. When implemented to a nonlinear network, approximated by an LTV system, the proposed methods are able to compute well-performing gains that stabilise the estimation error dynamics. Both algorithms are scalable, being adequate for implementation in large-scale networks. Journal: International Journal of Systems Science Pages: 1334-1351 Issue: 6 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.2002461 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2002461 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:6:p:1334-1351 Template-Type: ReDIF-Article 1.0 Author-Name: Lijie You Author-X-Name-First: Lijie Author-X-Name-Last: You Author-Name: Xiaowu Mu Author-X-Name-First: Xiaowu Author-X-Name-Last: Mu Author-Name: Zhe Yang Author-X-Name-First: Zhe Author-X-Name-Last: Yang Title: Asynchronous H∞ filtering for networked switched systems under effective DoS attacks Abstract: In this paper, the asynchronous $ H_{\infty } $ H∞ filtering problem of discrete-time networked switched systems under effective DoS attacks is studied. DoS attacks launched by the opponent are not always successful, and effective DoS attacks refers to successful attacks. First, based on event-triggered communication mechanism (ETCM), combining multiple Lyapunov functions with the merging switching signal technique, sufficient conditions are given to make the filter error system mean square exponentially stable (MSES) and satisfy an $ H_{\infty } $ H∞ performance. Then, switched filters and ETCM are co-designed by solving linear matrix inequalities. Furthermore, the relationship between the upper bound of attack duty cycle and the success rate of DoS attack is analysed. Finally, a practical example is given to illustrate the validity of the results. Journal: International Journal of Systems Science Pages: 1220-1232 Issue: 6 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1995526 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1995526 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:6:p:1220-1232 Template-Type: ReDIF-Article 1.0 Author-Name: Hongsheng Hu Author-X-Name-First: Hongsheng Author-X-Name-Last: Hu Author-Name: Shipei Huang Author-X-Name-First: Shipei Author-X-Name-Last: Huang Author-Name: Hui Wu Author-X-Name-First: Hui Author-X-Name-Last: Wu Title: Finite-time event-triggered control for switched affine systems with time-varying delay under state-dependent switching Abstract: Finite-time event-triggered control problem for switched affine systems with time-varying delay is investigated in this paper. A dynamical event-triggered scheme with multiple parameter matrices is proposed to avoid the waste of communication resources, which is more general than some existing event-triggered schemes with a common parameter matrix. By applying the proposed event-triggered scheme, a state-dependent switching signal and a state feedback controller are designed. By utilising an appropriate Lyapunov–Krasovskii functional and Metzler matrices, sufficient conditions for the existence of controller gains are firstly proposed such that the closed-loop system is finite-time bounded with finite-time disturbance attenuation performance. It is also proved that there is a lower bound between two adjacent triggers, i.e. Zeno phenomenon can be avoided. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1317-1333 Issue: 6 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.2002460 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2002460 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:6:p:1317-1333 Template-Type: ReDIF-Article 1.0 Author-Name: Zhoujian Ma Author-X-Name-First: Zhoujian Author-X-Name-Last: Ma Author-Name: Yinya Li Author-X-Name-First: Yinya Author-X-Name-Last: Li Title: Finite-time circumnavigation by irregular-shaped trajectory with bearing-only measurements Abstract: This paper investigates the problem of multiple agents circumnavigating group targets within finite time. Unlike most existing works in which agents can circumnavigate with a regular-shaped trajectory in the mission area, the problem of agents with an irregular-shaped trajectory in the area with obstacles is addressed in the paper. The agents can only obtain the bearing information of the targets. First, a scheme for establishing the group targets as an extended convex hull is presented. And the boundary of the extended convex hull is taken as the scheduled irregular-shaped trajectory. Then, a finite-time estimator is presented to localise the positions of the targets and their geometric centre. Afterward, a finite-time control protocol is proposed to drive agents along the irregular-shaped trajectory within finite time. Subsequently, an obstacle avoidance method is provided for agents to avoid obstacles on the path to the expected trajectory. Finally, simulation results validate the effectiveness of the theoretical results in this paper. Journal: International Journal of Systems Science Pages: 1170-1190 Issue: 6 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1993379 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1993379 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:6:p:1170-1190 Template-Type: ReDIF-Article 1.0 Author-Name: Jin-Zi Yang Author-X-Name-First: Jin-Zi Author-X-Name-Last: Yang Author-Name: Yuan-Xin Li Author-X-Name-First: Yuan-Xin Author-X-Name-Last: Li Title: Nussbaum gain adaptive neural asymptotic tracking of nonlinear systems with full-state constraints Abstract: The adaptive neural tracking control problem of a class of strict-feedback nonlinear systems with unknown control directions (UCD) and full-state constraints is investigated in this paper. The neural network (NN) is adopted to identify the totally unknown nonlinear functions. In the meanwhile, by resorting to the Nussbaum gain technique, the effects caused by the UCD and output dead zone are counteracted. Given physical limits and safety demands, a novel barrier Lyapunov function (BLF)-based adaptive neural control scheme is devised for the strict-feedback nonlinear systems to ensure that the constraints are not violated during operations. Besides, a rigorous theoretical analysis has been given to indicate that all of the closed-loop signals are bounded and the tracking error achieves asymptotic convergence performance. Finally, the effectiveness and flexibility of our proposed scheme are illustrated by two numerical examples. Journal: International Journal of Systems Science Pages: 1274-1287 Issue: 6 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1998720 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1998720 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:6:p:1274-1287 Template-Type: ReDIF-Article 1.0 Author-Name: Xuefei Yang Author-X-Name-First: Xuefei Author-X-Name-Last: Yang Author-Name: Bin Zhou Author-X-Name-First: Bin Author-X-Name-Last: Zhou Author-Name: James Lam Author-X-Name-First: James Author-X-Name-Last: Lam Title: Stabilisation of quadrotor aircraft with constrained controls Abstract: This paper is concerned with the stabilisation problem of the quadrotor aircraft with constrained controls. Two control methods based on linearised/nonlinear model are, respectively, established. By utilising some specific canonical forms, nonlinear control laws consisting of saturation functions are proposed, in which the total saturation levels are not restricted to some fixed levels. Moreover, explicit conditions are given to guarantee the stability of the closed-loop systems, and some free parameters which can help to improve the control performance are introduced into these controllers. Finally, numerical simulations are given to illustrate the effectiveness and superiority of the proposed methods. Journal: International Journal of Systems Science Pages: 1245-1259 Issue: 6 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1998718 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1998718 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:6:p:1245-1259 Template-Type: ReDIF-Article 1.0 Author-Name: A. M. de Oliveira Author-X-Name-First: A. M. Author-X-Name-Last: de Oliveira Author-Name: O. L. V. Costa Author-X-Name-First: O. L. V. Author-X-Name-Last: Costa Author-Name: G. W. Gabriel Author-X-Name-First: G. W. Author-X-Name-Last: Gabriel Title: Robust static output feedback control for hidden Markov jump linear systems Abstract: This paper studies the robust static output feedback control of discrete-time Markov jump systems considering that the mode of operation cannot be directly measured. It is assumed that the only available information concerning the main jump process comes from a detector, so that the jump and detector processes can be modelled as a hidden Markov model. Initially, it is considered that the system's dynamic matrix is subject to parametric uncertainties. By assuming a full row rank condition for the output matrix and employing a clusterisation technique for the state space of the hidden Markov model, it is derived a set of linear matrix inequalities (LMIs) that guarantees robust stability in the mean-square sense of the closed-loop system, as well as a bound on its $ H_{2} $ H2 norm. It is also shown that this design technique is linked to the bounded real lemma, so that a new set of LMIs conditions can be obtained for the ‘pure’ $ H_\infty $ H∞ control problem, which can be extended to cover the robust polytopic case. The paper is concluded with an illustrative example. Journal: International Journal of Systems Science Pages: 1298-1316 Issue: 6 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1999532 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1999532 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:6:p:1298-1316 Template-Type: ReDIF-Article 1.0 Author-Name: Fanrong Qu Author-X-Name-First: Fanrong Author-X-Name-Last: Qu Author-Name: Xia Zhao Author-X-Name-First: Xia Author-X-Name-Last: Zhao Author-Name: Xinmeng Wang Author-X-Name-First: Xinmeng Author-X-Name-Last: Wang Author-Name: Engang Tian Author-X-Name-First: Engang Author-X-Name-Last: Tian Title: Probabilistic-constrained distributed fusion filtering for a class of time-varying systems over sensor networks: a torus-event-triggering mechanism Abstract: This paper investigates the problem of distributed fusion over sensor networks with probabilistic constraints and stochastic perturbations. In order to save the bandwidth resources, a new event-triggering mechanism (ETM), called torus-event-triggering mechanism (TETM), is utilised for data transmission. Compared with the traditional ETMs, the TETM has two thresholds, which will not only discard the sampling data smaller than the lower threshold but also hold back the packet larger than the upper threshold. The main purpose of this paper is to design a time-varying distributed fusion filter such that: (1) the probability of the filtering error falling in a given ellipsoid domain is greater than a specified value and (2) the ellipsoidal set is minimised in the sense of matrix norm at each time point. To achieve the above-mentioned purpose, sufficient conditions are given to obtain the global fusion with the help of the recursive linear matrix inequality technique. The desired local filter parameters are then computed by solving an optimisation problem with some inequality constraints. Finally, a numerical simulation is given to illustrate the effectiveness and applicability of the proposed distributed fusion strategy. Journal: International Journal of Systems Science Pages: 1288-1297 Issue: 6 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1998721 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1998721 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:6:p:1288-1297 Template-Type: ReDIF-Article 1.0 Author-Name: Quanmin Zhu Author-X-Name-First: Quanmin Author-X-Name-Last: Zhu Author-Name: Ruobing Li Author-X-Name-First: Ruobing Author-X-Name-Last: Li Author-Name: Xinggang Yan Author-X-Name-First: Xinggang Author-X-Name-Last: Yan Title: U-model-based double sliding mode control (UDSM-control) of nonlinear dynamic systems Abstract: This study proposes a double sliding mode control-augmented U-control ( $ {\textrm{U}_{\textrm{DSM}}} $ UDSM-control) method for a class of single-input single-output nonlinear systems with internal uncertain parameters, model mismatching and external system noise/disturbance to improve robustness in nonlinear dynamic inversion in the U-control system design. For the configuration, the $ {\textrm{U}_{\textrm{DSM}}} $ UDSM-control system takes up (1) a double sliding mode dynamic inverter to cancel nonlinearities and dynamics of the plant, (2) a linear invariant controller, the other dynamic inverter of the specified whole desired system performance, so that the whole system dynamic inversion is split into two designs in double feedback loops. For using the framework, this study analyses the associated properties on (1) global stability, (2) double sliding from a switching control driving the states to a sliding band and an equivalent control driving the states to a sliding line and (3) robustness against uncertainties/disturbances and a potential data-driven prototype. To validate the developed control system, it selects bench test examples for simulation studies using Matlab/Simulink, which demonstrates the $ {\textrm{U}_{\textrm{DSM}}} $ UDSM-control in terms of accuracy, tracking, and robustness. The tests also present a step-by-step design procedure for potential applications. Journal: International Journal of Systems Science Pages: 1153-1169 Issue: 6 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1991503 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1991503 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:6:p:1153-1169 Template-Type: ReDIF-Article 1.0 Author-Name: Qian Wang Author-X-Name-First: Qian Author-X-Name-Last: Wang Author-Name: Yuetao Yang Author-X-Name-First: Yuetao Author-X-Name-Last: Yang Author-Name: Hui Fang Author-X-Name-First: Hui Author-X-Name-Last: Fang Author-Name: Yuehua Wan Author-X-Name-First: Yuehua Author-X-Name-Last: Wan Title: Input saturation: academic insights and future trends Abstract: Input saturation is very important for the analysis and design of control system. Ignoring the input saturation will have an adverse effect on the control system, and even cause the control system to be unstable. In practice, almost all the control systems are affected by input saturation, involving switched systems, multi-agent systems, robot systems and spacecraft rendezvous systems, etc. In the past few decades, a large number of research results have been obtained on input saturation. This paper attempts to give an overview through a bibliometric analysis based on the publications related to input saturation which were published from 2010 to 2020 and retrieved from the Science Citation Index Expanded database. We give a detailed discussion based on countries, institutions, research areas, journals, authors and author keywords. The main results show that Automatica takes the leading position among the top 10 academic journals, followed by International Journal of Robust and Nonlinear Control and IEEE Transactions on Automatic Control. China ranks a leading position in this field, followed by the United States and France. Harbin Institute of Technology has the topmost total articles, citations and h-index. The future research works are highlighted and we summarise the conclusion in end. Journal: International Journal of Systems Science Pages: 1138-1152 Issue: 6 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1989726 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1989726 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:6:p:1138-1152 Template-Type: ReDIF-Article 1.0 Author-Name: Toshio Yoshimura Author-X-Name-First: Toshio Author-X-Name-Last: Yoshimura Title: Adaptive fuzzy control for uncertain switched discrete-time nonlinear systems in a pure-feedback form with state constraints Abstract: This paper is concerned with the adaptive fuzzy control for uncertain switched discrete-time nonlinear systems in a pure-feedback form under arbitrary switchings. The design and the stability analysis of the adaptive fuzzy control with state constraints are based on the adaptive fuzzy backstepping control and the Lyapunov function. The feature of the proposed approach is as follows. (i) The proposed adaptive fuzzy control is designed by suppressing the explosion problem of the complexity in the backstepping control, (ii) In the fuzzy inference approach, the nonlinear uncertainties are approximated by using the fuzzy logic systems based on the simplified extended single-input rule modules, and (iii) The proposed estimator to take the estimates for the unmeasurable states, the adjustable parameters and the real control is in a simplified structure designed. The simulation experiment provides that the proposed approach improves the system performance. Journal: International Journal of Systems Science Pages: 1191-1206 Issue: 6 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1994049 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1994049 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:6:p:1191-1206 Template-Type: ReDIF-Article 1.0 Author-Name: Wenting Song Author-X-Name-First: Wenting Author-X-Name-Last: Song Author-Name: Wei Wang Author-X-Name-First: Wei Author-X-Name-Last: Wang Author-Name: Shaocheng Tong Author-X-Name-First: Shaocheng Author-X-Name-Last: Tong Title: Interval type-2 fuzzy decentralised event-triggered H∞ control for nonlinear interconnected systems with time delays Abstract: This paper studies the interval type-2 fuzzy decentralised event-triggered control design problem for the nonlinear time-delay interconnected systems. The considered plant is first represented by an interval type-2 Takagi-Sugeno (IT2 T-S) fuzzy time-delay interconnected system and then an event-triggered mechanism is established through using the sampled states. By using the PDC algorithm, a fuzzy decentralised event-triggered controller is developed. Furthermore, the asymptotic stable conditions with a $ {H_\infty } $ H∞ performance of closed-loop system are obtained, which are formulated in the form of linear matrix inequalities. Finally, an example of the nonlinear Tuned Mass Damper system with time delays is given to illustrate the effectiveness of the proposed fuzzy decentralised controller. Journal: International Journal of Systems Science Pages: 1207-1219 Issue: 6 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1995525 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1995525 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:6:p:1207-1219 Template-Type: ReDIF-Article 1.0 Author-Name: Hui Peng Author-X-Name-First: Hui Author-X-Name-Last: Peng Author-Name: Yu Zhang Author-X-Name-First: Yu Author-X-Name-Last: Zhang Author-Name: Jiawen Lei Author-X-Name-First: Jiawen Author-X-Name-Last: Lei Author-Name: Ming Lin Author-X-Name-First: Ming Author-X-Name-Last: Lin Title: H∞ asynchronous synchronisation control for Markovian coupled delayed neural networks with missing information Abstract: This paper first studies $ H_\infty $ H∞ asynchronous synchronisation control problem for Markovian coupled neural networks with missing information. As information exchanges among neural networks, which can help achieving synchronisation, are conducted via a generally unprotected communication network with limited bandwidth, nodes' state information and the synchronised state information may not be available to node i, and a Bernoulli process is used to model this phenomenon. Furthermore, considering that the amount of information needs to be transmitted is decided by the coupling relationship, missing information rate is assumed to be node- and coupling dependent. By introducing another nonhomogeneous Markov chain with transition probability matrix depending on coupling mode, the asynchronous synchronisation controller is designed, which can describe complex asynchronous switch phenomenon between system and controller modes and covers mode-dependent controller and mode-independent one as two special cases. Three sufficient conditions respectively guaranteeing the global synchronisation and the $ H_\infty $ H∞ global synchronisation of the addressed networks are obtained, and then the asynchronous synchronisation controller design method is proposed. Finally, an illustrative example with results demonstrating the effectiveness of the given controller design approach is provided. Journal: International Journal of Systems Science Pages: 1260-1273 Issue: 6 Volume: 53 Year: 2022 Month: 04 X-DOI: 10.1080/00207721.2021.1998719 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1998719 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:6:p:1260-1273 Template-Type: ReDIF-Article 1.0 Author-Name: Jianqiu Lu Author-X-Name-First: Jianqiu Author-X-Name-Last: Lu Author-Name: Yun Lu Author-X-Name-First: Yun Author-X-Name-Last: Lu Author-Name: Simin Wang Author-X-Name-First: Simin Author-X-Name-Last: Wang Author-Name: Liangjian Hu Author-X-Name-First: Liangjian Author-X-Name-Last: Hu Author-Name: Yanan Jiang Author-X-Name-First: Yanan Author-X-Name-Last: Jiang Title: Stabilisation of nonlinear hybrid stochastic systems with time-varying delay by discrete-time feedback controls with a time delay Abstract: In this paper, we investigate stabilisation of hybrid stochastic systems with time-varying delay by feedback control based on discrete-time state and mode observations with a time delay. By constructing a proper Lyapunov functional, the $ H_\infty $ H∞, asymptotic and exponential stability of the controlled systems are studied in the pth moment sense for p>1. Meanwhile, we obtain the upper bound on the duration τ between two consecutive state and mode observations. At last, two numerical examples are illustrated to support our theoretical results. Journal: International Journal of Systems Science Pages: 1483-1502 Issue: 7 Volume: 53 Year: 2022 Month: 05 X-DOI: 10.1080/00207721.2021.2010832 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2010832 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:7:p:1483-1502 Template-Type: ReDIF-Article 1.0 Author-Name: Yuanbo Su Author-X-Name-First: Yuanbo Author-X-Name-Last: Su Author-Name: Hongjing Liang Author-X-Name-First: Hongjing Author-X-Name-Last: Liang Author-Name: Yingnan Pan Author-X-Name-First: Yingnan Author-X-Name-Last: Pan Author-Name: Duxin Chen Author-X-Name-First: Duxin Author-X-Name-Last: Chen Title: Event-triggered adaptive fuzzy fault-tolerant control for autonomous underwater vehicles with prescribed tracking performance Abstract: In this paper, we solve the trajectory tracking control problem of autonomous underwater vehicles (AUVs) with actuator faults and model uncertainties. In order to achieve the output tracking with prescribed transient performance, we develop a novel tan-type barrier Lyapunov function (BLF)-based funnel tracking control strategy to constrain the position tracking error of the AUV within prespecified performance funnels. Furthermore, to maintain the predesigned transient tracking performance of the AUV when the actuator fault occurs, an event-triggered adaptive fuzzy fault-tolerant control (FTC) scheme is proposed to compensate actuator faults. Meanwhile, to handle the uncertainties caused by the system model, fuzzy logic systems (FLSs) are adopted to approximate the unknown hydrodynamic parameters and actuator fault parameters. Different from the existing results, the communication burden and the excess wear from the controller to the actuators are reduced utilising the event-triggered mechanism. By using the theory of Lyapunov stability, it is proven that all the signals of the closed-loop system are semiglobally uniformly bounded. Finally, the effectiveness of the proposed method is demonstrated by a simulation example. Journal: International Journal of Systems Science Pages: 1353-1366 Issue: 7 Volume: 53 Year: 2022 Month: 05 X-DOI: 10.1080/00207721.2021.2002462 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2002462 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:7:p:1353-1366 Template-Type: ReDIF-Article 1.0 Author-Name: Lixun Huang Author-X-Name-First: Lixun Author-X-Name-Last: Huang Author-Name: Lijun Sun Author-X-Name-First: Lijun Author-X-Name-Last: Sun Author-Name: Tao Wang Author-X-Name-First: Tao Author-X-Name-Last: Wang Author-Name: Qiuwen Zhang Author-X-Name-First: Qiuwen Author-X-Name-Last: Zhang Author-Name: Weihua Liu Author-X-Name-First: Weihua Author-X-Name-Last: Liu Author-Name: Zhe Zhang Author-X-Name-First: Zhe Author-X-Name-Last: Zhang Title: An optimal filter for updated input of iterative learning controllers with multiplicative and additive noises Abstract: Multiplicative and additive noises, arising from both sensor-to-controller and controller-to-actuator channels, affect the convergence performance of wireless networked iterative learning control (ILC) systems. In order to guarantee the convergence performance of such ILC systems, this paper designs an input filter at the actuator side for estimating the controller updated input. Specifically, a P-type learning controller is considered firstly, and then a mathematical model is developed to describe the transmission processes of both measured output data and updated input data with the effect of those noises. On the basis of state augmentation, these two data transmission processes are further combined with the controller learning process to build a filtering model. Finally, according to this filtering model and the orthogonality projection theory, the optimal input filter in the sense of linear minimum variance is designed in front of actuators. The convergence performance of the filtering error covariance matrix is analysed theoretically. Furthermore, because the input filter is designed only with the controller learning process and the two data transmission processes, the convergence performance of any system with the considered controller can be improved by driving with the filtered input. Finally, numerical results are given to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1516-1528 Issue: 7 Volume: 53 Year: 2022 Month: 05 X-DOI: 10.1080/00207721.2021.2012726 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2012726 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:7:p:1516-1528 Template-Type: ReDIF-Article 1.0 Author-Name: Xi Li Author-X-Name-First: Xi Author-X-Name-Last: Li Author-Name: Qiankun Song Author-X-Name-First: Qiankun Author-X-Name-Last: Song Author-Name: Zhenjiang Zhao Author-X-Name-First: Zhenjiang Author-X-Name-Last: Zhao Author-Name: Yurong Liu Author-X-Name-First: Yurong Author-X-Name-Last: Liu Author-Name: Fuad E. Alsaadi Author-X-Name-First: Fuad E. Author-X-Name-Last: Alsaadi Title: Optimal control and zero-sum differential game for Hurwicz model considering singular systems with multifactor and uncertainty Abstract: Uncertainty theory is a new branch of mathematics concerned with the analysis of subjective indeterminacy. Based on the concept of uncertain theory, this paper considers optimal control and zero-sum differential game for multi-factor uncertain continuous-time singular systems with Hurwicz criterion, where dynamic systems are modelled by a type of uncertain differential equation driven by canonical Liu process. Using the approach of dynamic programming, the principle of optimality is proposed and then the equation of optimality is derived to resolve an uncertain control model. A two-player zero-sum uncertain differential game is further investigated based on the optimality equation above, and an equilibrium equation is presented to locate a saddle-point in the game. Finally, an example is discussed to illuminate the effectiveness of the results. Journal: International Journal of Systems Science Pages: 1416-1435 Issue: 7 Volume: 53 Year: 2022 Month: 05 X-DOI: 10.1080/00207721.2021.2005175 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2005175 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:7:p:1416-1435 Template-Type: ReDIF-Article 1.0 Author-Name: Shen Zhang Author-X-Name-First: Shen Author-X-Name-Last: Zhang Author-Name: Juanjuan Xu Author-X-Name-First: Juanjuan Author-X-Name-Last: Xu Author-Name: Guangchen Wang Author-X-Name-First: Guangchen Author-X-Name-Last: Wang Author-Name: Huanshui Zhang Author-X-Name-First: Huanshui Author-X-Name-Last: Zhang Title: LQ control of forward and backward stochastic difference system Abstract: This paper studies linear quadratic (LQ) control of forward and backward stochastic difference system (FBSDS). There are two main contributions: first, the equivalent condition is obtained for the solvability of optimal control of FBSDS with multi-multiplicative noises under complete information and the analytic solution is also stated by the proposed Riccati equation. Second, the result of complete information is deduced to the situation of incomplete information, that is, the equivalent conditions of solvability and analytical solution are obtained based on Riccati equation. The main technique we use is to solve the forward–backward stochastic difference equations (FBSDEs) originated from maximum principle (MP). Journal: International Journal of Systems Science Pages: 1401-1415 Issue: 7 Volume: 53 Year: 2022 Month: 05 X-DOI: 10.1080/00207721.2021.2004260 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2004260 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:7:p:1401-1415 Template-Type: ReDIF-Article 1.0 Author-Name: Jun Zhou Author-X-Name-First: Jun Author-X-Name-Last: Zhou Title: Convergence aspects on internal model principle and tracking control in linear dynamical systems: classification and properties Abstract: This paper talks about asymptotic convergence aspects about the internal model principle (IMP) and trajectory tracking control (TTC) in linear dynamical systems. First, IMP and asymptotic TTC are re-formulated and explicated. Second, TTC under internal models of trajectory and disturbance is classified in terms of tracking error bias into bounded; nonzero steady-state; zero steady-state; unbounded (tracking failure). Third, TTC attainability and tracking error biases are examined via asymptotic convergence analysis. In particular, bounded TTC is attainable if trajectory and disturbance are essentially bounded; zero/nonzero-steady-state TTC is attainable if trajectory and disturbance $ t\to \infty $ t→∞ limits are well-defined so that the Laplace ultimate value theorem holds; zero-steady-state TTC is realisable if internal models exactly reflect all unstable modes of trajectory and disturbance. Fourth, when internal models are subject to mismatches and sampled-data approximates, several interesting convergence facts are revealed. More specifically, for addressing zero-steady-state TTC to periodic trajectory and disturbance, stabilisation may be insufficient; for addressing TTC under sampled-data internal models, unknown convergence features are claimed. Finally, TTC controller parametrisation via pole assignment stabilisation is scrutinised under static output and state feedback. Numerical examples are included to illustrate the main results. Journal: International Journal of Systems Science Pages: 1367-1389 Issue: 7 Volume: 53 Year: 2022 Month: 05 X-DOI: 10.1080/00207721.2021.2002970 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2002970 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:7:p:1367-1389 Template-Type: ReDIF-Article 1.0 Author-Name: Xiaolin Shi Author-X-Name-First: Xiaolin Author-X-Name-Last: Shi Author-Name: Yimin Shi Author-X-Name-First: Yimin Author-X-Name-Last: Shi Author-Name: Qiankun Song Author-X-Name-First: Qiankun Author-X-Name-Last: Song Title: Reliability analysis of J-out-of-N system with Nadarajah-Haghighi component under generalised progressive hybrid censoring Abstract: In reliability analysis of the J-out-of-N system, people usually assume that the lifetime of components in the system follows the exponential, Weibull or gamma distribution. However, this assumption has some limitations in fitting real-life data. Nadarajah–Haghighi distribution has more advantages than exponential, Weibull and gamma distributions in reliability modelling of real data. This paper investigates the reliability analysis of a J-out-of-N system in which the lifetimes of components follow Nadarajah–Haghighi distribution. Based on the generalised progressive hybrid censoring (GPHC) sample, the maximum likelihood estimates (MLEs), and the asymptotic confidence intervals of unknown parameters and the reliability function of the system are obtained by using the numerical procedure and asymptotic normality theory of MLEs, respectively. The Bayesian estimates under squared error loss are derived using the Tierney–Kadane’s (T–K) method. Furthermore, the Bayesian credible intervals are constructed based on Metropolis–Hastings method. Monte Carlo simulations are carried out to evaluate the performance of the proposed estimation methods. Finally, two real data sets are analysed for illustrative purposes. Journal: International Journal of Systems Science Pages: 1436-1455 Issue: 7 Volume: 53 Year: 2022 Month: 05 X-DOI: 10.1080/00207721.2021.2005176 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2005176 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:7:p:1436-1455 Template-Type: ReDIF-Article 1.0 Author-Name: Ly-Inn Chung Author-X-Name-First: Ly-Inn Author-X-Name-Last: Chung Author-Name: Tsair-Chuan Lin Author-X-Name-First: Tsair-Chuan Author-X-Name-Last: Lin Author-Name: Chun-Chao Wang Author-X-Name-First: Chun-Chao Author-X-Name-Last: Wang Title: Semirecursive nonparametric algorithms for Hammerstein systems with stochastic autocorrelated input Abstract: A Hammerstein system comprises a nonlinear static subsystem and a linear dynamic subsystem. Herein, semirecursive nonparametric estimators are proposed for the nonlinear static subsystem, and its asymptotic unbiasedness and consistency properties are demonstrated. The estimators are competitive in terms of computational cost and data storage capacity. The performance of the proposed algorithms was examined through both Monte Carlo simulation and application to empirical data. Journal: International Journal of Systems Science Pages: 1503-1515 Issue: 7 Volume: 53 Year: 2022 Month: 05 X-DOI: 10.1080/00207721.2021.2010833 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2010833 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:7:p:1503-1515 Template-Type: ReDIF-Article 1.0 Author-Name: Lianghao Ji Author-X-Name-First: Lianghao Author-X-Name-Last: Ji Author-Name: Yanxue Shi Author-X-Name-First: Yanxue Author-X-Name-Last: Shi Author-Name: Cuijuan Zhang Author-X-Name-First: Cuijuan Author-X-Name-Last: Zhang Title: Multi-group consensus for heterogeneous agents in cooperative–competitive networks via pinning and adaptive coupling weight methods Abstract: This paper investigates the multi-group consensus problem for heterogeneous networks via pinning control and adaptive coupling weight methods. In view of the network's topology with connected components, the cooperative–competitive interactions among the agents and Markov switching topology are considered. Based on Lyapunov stability theory and algebraic graph theory, several sufficient conditions and pinning control strategies are presented to guarantee the network reach multi-group consensus. The results reveal that the in-degree of the agents and pinning gains of the second-order agents are closely related to the achievement of multi-group consensus. Finally, simulation experiments are given to verify the correctness of the theoretical results. Moreover, the simulated results show that the adaptive coupling weight method can increase the convergence rate of the network. Journal: International Journal of Systems Science Pages: 1469-1482 Issue: 7 Volume: 53 Year: 2022 Month: 05 X-DOI: 10.1080/00207721.2021.2010831 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2010831 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:7:p:1469-1482 Template-Type: ReDIF-Article 1.0 Author-Name: Edi Kurniawan Author-X-Name-First: Edi Author-X-Name-Last: Kurniawan Author-Name: Hendra G. Harno Author-X-Name-First: Hendra G. Author-X-Name-Last: Harno Author-Name: Hendra Adinanta Author-X-Name-First: Hendra Author-X-Name-Last: Adinanta Title: High-order repetitive model reference control for linear systems with uncertain periodic references and disturbances Abstract: This paper presents a systematic method to design a high-order repetitive model reference controller (HO-RMRC) for a discrete-time linear system that is subject to uncertain periodic references and disturbances. The controller design method we propose is established by combining two controller design schemes: high-order repetitive control (HORC) and model reference control (MRC). Here, the HORC is used to suppress uncertain periodic disturbances significantly and the MRC is used to track time-varying references without introducing new transient responses. The stability analysis of the resulting closed-loop system is provided and describes how admissible learning gains are determined to achieve stability and a desirable convergence rate. The efficacy of the proposed control method is demonstrated via numerical simulations where the performance of the resulting HO-RMRC is compared with those of the HORC and the MRC as standalone controllers. It is evident that the HO-RMRC outperforms the HORC and the MRC in simultaneously achieving perfect reference tracking and disturbance cancellation/attenuation. Journal: International Journal of Systems Science Pages: 1456-1468 Issue: 7 Volume: 53 Year: 2022 Month: 05 X-DOI: 10.1080/00207721.2021.2008545 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2008545 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:7:p:1456-1468 Template-Type: ReDIF-Article 1.0 Author-Name: M. Sathishkumar Author-X-Name-First: M. Author-X-Name-Last: Sathishkumar Author-Name: Yen-Chen Liu Author-X-Name-First: Yen-Chen Author-X-Name-Last: Liu Title: Resilient adaptive event-triggered dissipative control for networked control systems with DoS attacks Abstract: This paper focuses the design of resilient control for networked control systems with an adaptive event-triggered mechanism in the presence of denial-of-service attacks, actuator saturation and actuator faults. The model for denial-of-service attacks (DoS-As) in networked control systems, which mainly destroy the control channel and occur aperiodically with an unknown attack strategy, is constructed. An adaptive event-triggered mechanism (AETM) is introduced to reduce unimportant communication transmissions in a network provided adaptive varying threshold while maintaining satisfactory system performance. By using the Lyapunov function approach, linear matrix inequality (LMI)-based sufficient conditions are obtained to ensure the exponential stability and satisfying the prescribed performance index of the closed-loop systems under DoS-As. Moreover, the feasibility of the jointly developed schemes for the control gain and event-triggered parameters is calculated using the presented LMIs. The potentiality of the proposed scheme is validated using a numerical example. Journal: International Journal of Systems Science Pages: 1562-1578 Issue: 7 Volume: 53 Year: 2022 Month: 05 X-DOI: 10.1080/00207721.2021.2017508 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2017508 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:7:p:1562-1578 Template-Type: ReDIF-Article 1.0 Author-Name: Alexey Zhirabok Author-X-Name-First: Alexey Author-X-Name-Last: Zhirabok Author-Name: Alexander Zuev Author-X-Name-First: Alexander Author-X-Name-Last: Zuev Author-Name: Vladimir Filaretov Author-X-Name-First: Vladimir Author-X-Name-Last: Filaretov Author-Name: Alexey Shumsky Author-X-Name-First: Alexey Author-X-Name-Last: Shumsky Title: Fault identification in nonlinear dynamic systems not satisfying matching, minimum phase, and detectability conditions Abstract: The paper studies the fault identification problem for nonlinear control systems under unmatched disturbances. A novel approach to construct a sliding mode observer is proposed for systems that do not satisfy common conditions required for fault estimation, in particular matching condition, minimum phase condition, and detectability conditions. The suggested approach is based on the reduced order model of the original system and on the canonical form of matrices describing such a model. This allows to reduce the complexity of sliding mode observers and relax the limitations imposed on the original system. Three different cases for disturbances are considered and the appropriate solutions are suggested. Journal: International Journal of Systems Science Pages: 1390-1400 Issue: 7 Volume: 53 Year: 2022 Month: 05 X-DOI: 10.1080/00207721.2021.2003471 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2003471 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:7:p:1390-1400 Template-Type: ReDIF-Article 1.0 Author-Name: Guolin Hu Author-X-Name-First: Guolin Author-X-Name-Last: Hu Author-Name: Jian Zhang Author-X-Name-First: Jian Author-X-Name-Last: Zhang Author-Name: Zhiguo Yan Author-X-Name-First: Zhiguo Author-X-Name-Last: Yan Title: An improved approach to fuzzy dynamic output feedback H∞ control of continuous-time Takagi–Sugeno fuzzy systems Abstract: This paper studies the problem of dynamic output feedback $ H_{\infty } $ H∞ control for continuous-time Takagi–Sugeno fuzzy systems. Based on the fuzzy Lyapunov functions without the special structure, a controller design method is developed and the relaxed stabilisation conditions are proposed. First, some shortcomings of the existing results are improved and a new approach is proposed for bounding the time derivatives of the membership functions. Then, less conservative conditions are obtained by introducing regulable parameters and applying the matrix decoupling techniques, which guarantee the prescribed $ H_{\infty } $ H∞ performance. Moreover, the relaxation technique proposed in this paper is also suitable for the fuzzy system with immeasurable premise variables. Finally, some examples are provided to demonstrate the validity of the approach. Journal: International Journal of Systems Science Pages: 1529-1544 Issue: 7 Volume: 53 Year: 2022 Month: 05 X-DOI: 10.1080/00207721.2021.2013976 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2013976 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:7:p:1529-1544 Template-Type: ReDIF-Article 1.0 Author-Name: Yanwei Zhao Author-X-Name-First: Yanwei Author-X-Name-Last: Zhao Author-Name: Haoyan Zhang Author-X-Name-First: Haoyan Author-X-Name-Last: Zhang Author-Name: Zhongyu Chen Author-X-Name-First: Zhongyu Author-X-Name-Last: Chen Author-Name: Huanqing Wang Author-X-Name-First: Huanqing Author-X-Name-Last: Wang Author-Name: Xudong Zhao Author-X-Name-First: Xudong Author-X-Name-Last: Zhao Title: Adaptive neural decentralised control for switched interconnected nonlinear systems with backlash-like hysteresis and output constraints Abstract: This paper considers the issue of adaptive neural decentralised tracking control for a class of output-constraint switched interconnected nonlinear systems with unknown backlash-like hysteresis control input. First, neural networks (NNs) are applied to approximate unknown nonlinear functions, and an NNs switched state observer is designed to estimate unmeasured system states. Then, the dynamic surface control technique is used to avoid the influence of explosion of complexity. In addition, the problem of output constraints is solved by introducing the barrier Lyapunov functions. Based on the Lyapunov stability theory, all signals in the switched closed-loop system can be verified to be uniformly ultimately bounded under the proposed control method. Moreover, the system output can track the target trajectory well within a small bounded error. Finally, a numerical simulation result is given to illustrate the effectiveness of the adaptive decentralised control scheme. Journal: International Journal of Systems Science Pages: 1545-1561 Issue: 7 Volume: 53 Year: 2022 Month: 05 X-DOI: 10.1080/00207721.2021.2017063 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2017063 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:7:p:1545-1561 Template-Type: ReDIF-Article 1.0 Author-Name: Yassin Farhat Author-X-Name-First: Yassin Author-X-Name-Last: Farhat Author-Name: Ali Zribi Author-X-Name-First: Ali Author-X-Name-Last: Zribi Author-Name: Asma Atig Author-X-Name-First: Asma Author-X-Name-Last: Atig Author-Name: Ridha Ben Abdennour Author-X-Name-First: Ridha Author-X-Name-Last: Ben Abdennour Title: A neural multicontroller for strongly nonlinear systems Abstract: The application of neural networks can present some limitations for the control of strongly nonlinear systems. In this paper, a new control scheme based on a neural multicontroller (NMC) is proposed. Indeed, the developed strategy considers a set of local neural controllers which adapt their parameters thanks to an online adaptation algorithm. The instantaneous choice of the adequate local controller is based on a switching mechanism. The advantages of the proposed method are (1) to avoid the computational complexity issues due to the search for an optimal adapting rate when a single neural controller is used, and in presence of strongly nonlinear systems, and (2) to improve the control law by selecting the suitable controller which generates the most valid control law satisfying the desired closed-loop performances. Numerical examples are illustrated to evaluate the performance of the proposed control scheme compared to the classical one. An application of the new strategy on a chemical reactor model validates satisfactory results. Journal: International Journal of Systems Science Pages: 1778-1795 Issue: 8 Volume: 53 Year: 2022 Month: 06 X-DOI: 10.1080/00207721.2021.2024295 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2024295 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:8:p:1778-1795 Template-Type: ReDIF-Article 1.0 Author-Name: Roberto Kawakami Harrop Galvão Author-X-Name-First: Roberto Kawakami Harrop Author-X-Name-Last: Galvão Author-Name: Marcelo Carvalho Minhoto Teixeira Author-X-Name-First: Marcelo Carvalho Minhoto Author-X-Name-Last: Teixeira Author-Name: Tomasz Szulc Author-X-Name-First: Tomasz Author-X-Name-Last: Szulc Author-Name: Edvaldo Assunção Author-X-Name-First: Edvaldo Author-X-Name-Last: Assunção Author-Name: Marco Antonio Leite Beteto Author-X-Name-First: Marco Antonio Leite Author-X-Name-Last: Beteto Title: Comments on ‘Less conservative conditions for robust LQR-state-derivative controller design: an LMI approach’ and new sufficient LMI conditions for invertibility of a convex combination of matrices Abstract: This note is concerned with conditions on a set of non-singular matrices $ A_i \in \mathbb {R}^{n \times n} $ Ai∈Rn×n, $ i = 1, 2, \ldots, r $ i=1,2,…,r, so that any convex combination of these matrices is also non-singular. The first part of the note points out that Theorem 2.3 in a previous paper [Beteto et al. (2021). Less conservative conditions for robust LQR-state derivative controller design: An LMI approach. International Journal of Systems Science] provides only necessary conditions, which are not sufficient in the general case. In the second part, some stability results based on Linear Matrix Inequalities (LMIs) for a class of fractional order systems are used to establish new sufficient conditions. Numerical examples are presented for illustration. The results suggest that the new LMI conditions may be less conservative compared to a test proposed in the literature on P-matrices, and also to a positive-definiteness test based on matrix cross-products. Journal: International Journal of Systems Science Pages: 1769-1777 Issue: 8 Volume: 53 Year: 2022 Month: 06 X-DOI: 10.1080/00207721.2021.2023689 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2023689 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:8:p:1769-1777 Template-Type: ReDIF-Article 1.0 Author-Name: Hua Zhang Author-X-Name-First: Hua Author-X-Name-Last: Zhang Author-Name: Fujin Jia Author-X-Name-First: Fujin Author-X-Name-Last: Jia Author-Name: Junwei Lu Author-X-Name-First: Junwei Author-X-Name-Last: Lu Title: Global adaptive output regulation for nonlinear output feedback affine systems Abstract: In this paper, the global output regulation problem (ORP) for nonlinear output feedback affine systems with unknown functions (UFs) and unmeasured states is studied. Firstly, a Lemma is proposed to solve not only the global ORP of nonlinear systems, but also the ‘explosion of terms’ problem of backstepping. Secondly, the control scheme is designed based on backstepping method, which avoids an Assumption to solve the ORP. Therefore, the algorithm reduces the conservatism and increases the applicability. Finally, the algorithm is applied to Duffing system to verify the effectiveness of the algorithm. Journal: International Journal of Systems Science Pages: 1706-1718 Issue: 8 Volume: 53 Year: 2022 Month: 06 X-DOI: 10.1080/00207721.2021.2021314 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2021314 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:8:p:1706-1718 Template-Type: ReDIF-Article 1.0 Author-Name: Orhan Dalkılıç Author-X-Name-First: Orhan Author-X-Name-Last: Dalkılıç Title: Determining the membership degrees in the range (0, 1) for hypersoft sets independently of the decision-maker Abstract: Today, Molodtsov's soft set has been generalised to hypersoft sets, and the use of hypersoft set theory for uncertain data has become more preferable than soft sets. However, the membership degree of an object in hypersoft sets is 0 or 1. In order to express this situation in the range $ (0,1) $ (0,1), many mathematical models have been constructed by considering hypersoft sets together with fuzzy sets and their derivatives. However, these mathematical models require the decision-maker to express the membership degrees. It is a very difficult task for a decision-maker to determine a value in $ (0,1) $ (0,1) and the probability of an error is very high. For this reason, the concepts relational hypersoft membership degree and inverse relational hypersoft membership degree, which are given less dependent on decision-makers, are proposed in this paper. Moreover, two decision-making algorithms are given to use these concepts in an environment of uncertainty. Finally, the decision-making process for the given algorithms is analysed. Journal: International Journal of Systems Science Pages: 1733-1743 Issue: 8 Volume: 53 Year: 2022 Month: 06 X-DOI: 10.1080/00207721.2021.2023686 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2023686 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:8:p:1733-1743 Template-Type: ReDIF-Article 1.0 Author-Name: Chunxiao He Author-X-Name-First: Chunxiao Author-X-Name-Last: He Author-Name: Jinxiang Chen Author-X-Name-First: Jinxiang Author-X-Name-Last: Chen Author-Name: Xisheng Li Author-X-Name-First: Xisheng Author-X-Name-Last: Li Title: Sensor fault detection based on fuzzy singularly perturbed model Abstract: Fuzzy singularly perturbed modelling and sensor fault detection for nonlinear singularly perturbed systems (NSPSs) are investigated. A continuous-time fuzzy singularly perturbed model with superimposed faults on state variables and external disturbances are established to describe NSPSs with sensor faults. Based on the model, a novelty $ H_\infty $ H∞ fuzzy fault detector (FFD) is designed, and the sufficient conditions for $ H_\infty $ H∞ performance are derived. The above approaches are applied to a CE150 helicopter with abrupt and intermittent faults on sensors. The innovations of this paper are as follows: (i) The nonlinear and slow–fast time-scales are described by a united continuous-time fuzzy singularly perturbed model, and based-it a FFD is designed, which can avoid the incomplete decoupling problem caused by decomposition methods; (ii) The sensor faults are expressed by the superimposed faults on state variables when the continuous-time fuzzy singularly perturbed model is constructed, which is less conservative than existing methods; (iii) In the FFD design, the first-order derivative model of the estimate function for sensor faults is established, and it is combined with a fuzzy observer, which can improve the detection accuracy of the FFD; (iv) $ H_\infty $ H∞ control technology is introduced into the FFD design process to suppress external disturbances. Journal: International Journal of Systems Science Pages: 1690-1705 Issue: 8 Volume: 53 Year: 2022 Month: 06 X-DOI: 10.1080/00207721.2021.2020368 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2020368 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:8:p:1690-1705 Template-Type: ReDIF-Article 1.0 Author-Name: Saeed Salavati Author-X-Name-First: Saeed Author-X-Name-Last: Salavati Author-Name: Karolos Grigoriadis Author-X-Name-First: Karolos Author-X-Name-Last: Grigoriadis Title: Gain-scheduled output-feedback control of uncertain input-delay LPV systems with saturation via polytopic differential inclusion Abstract: This paper examines the control design for parameter-dependent input-delay linear parameter-varying (LPV) systems with saturation constraints. A linear differential inclusion approach is implemented to formulate the saturation nonlinearity. Subsequently, a gain-scheduled dynamic output-feedback controller is structured to conform to the saturation representation. By means of a Lyapunov–Krasovskii functional, sufficient delay-dependent conditions are derived for the analysis and feedback control synthesis of the closed-loop system in the presence of uncertainties and exogenous disturbances. Disturbance rejection objectives following an induced $ \mathcal {L}_2 $ L2-norm and an $ \mathcal {L}_2-\mathcal {L}_\infty $ L2−L∞ norm formulation are examined. Estimation of the domain of attraction with the parametrisation of the admissible LPV controllers is presented. Three different optimisation objectives with respect to disturbance rejection, disturbance tolerance, and domain of attraction expansion are formulated. The proposed design methodology is examined in the context of the air-fuel ratio (AFR) regulation in a spark ignition (SI) engine with a speed-dependent delay and model parameters in the presence of canister purge disturbances and AFR dynamics uncertainty. The injector is restricted in the amount of fuel it can deliver to the cylinder. The three-way catalytic converter's performance in terms of oxygen storage and emission reduction is taken into consideration. Closed-loop simulation results are provided to validate the methodology. Journal: International Journal of Systems Science Pages: 1579-1599 Issue: 8 Volume: 53 Year: 2022 Month: 06 X-DOI: 10.1080/00207721.2021.1986597 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1986597 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:8:p:1579-1599 Template-Type: ReDIF-Article 1.0 Author-Name: Fangzheng Gao Author-X-Name-First: Fangzheng Author-X-Name-Last: Gao Author-Name: Jiacai Huang Author-X-Name-First: Jiacai Author-X-Name-Last: Huang Author-Name: Yuqiang Wu Author-X-Name-First: Yuqiang Author-X-Name-Last: Wu Author-Name: Xianlin Zhao Author-X-Name-First: Xianlin Author-X-Name-Last: Zhao Title: A time-scale transformation approach to prescribed-time stabilisation of non-holonomic systems with inputs quantisation Abstract: This article addresses the problem of global stabilisation using state feedback for a kind of uncertain non-holonomic systems in chained form. Two distinct characteristics of this study are that the considered system suffers from the input-quantised actuator, and the system states are expected to converge to zero in prescribed finite time. To address these, a time-scale transformation, that can change the original stabilisation into the finite-time stabilisation of the transformed one, is first introduced. Then, under the new framework of equivalent transformation, a quantised state feedback controller that achieves of the performance requirements is developed with the aid of the recursive technique. Finally, simulation results of a unicycle-type mobile robot are provided to confirm the efficacy of the proposed approach. Journal: International Journal of Systems Science Pages: 1796-1808 Issue: 8 Volume: 53 Year: 2022 Month: 06 X-DOI: 10.1080/00207721.2021.2024296 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2024296 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:8:p:1796-1808 Template-Type: ReDIF-Article 1.0 Author-Name: Xiangying Guo Author-X-Name-First: Xiangying Author-X-Name-Last: Guo Author-Name: Jianyin Fang Author-X-Name-First: Jianyin Author-X-Name-Last: Fang Author-Name: Xiaowu Mu Author-X-Name-First: Xiaowu Author-X-Name-Last: Mu Title: Finite-time fault tolerant neural control of nonlinear multi-agent systems under switching topologies Abstract: The neural tracking control problem for nonlinear strict-feedback multi-agent systems (MASs) subject to actuator faults in finite-time is considered, where each agent communicates with its neighbours on a time-varying directed topology. Radial basis function neural networks (RBFNNs) are used to approximate the unknown internal dynamics of system. By utilising backstepping method and dynamic surface control (DSC) technique, a novel adaptive fault tolerant controller is put forward. It turns out that the designed controller can compensate the effect of uncertainties and actuator faults. Meanwhile, by constructing piecewise Lyapunov functions, sufficient conditions for dwell time of topologies are given such that system achieves finite-time tracking consensus under the designed controller. Finally, an example is carried out to verify feasibility of the theoretical result. Journal: International Journal of Systems Science Pages: 1659-1673 Issue: 8 Volume: 53 Year: 2022 Month: 06 X-DOI: 10.1080/00207721.2021.2019347 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2019347 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:8:p:1659-1673 Template-Type: ReDIF-Article 1.0 Author-Name: Yutong Yin Author-X-Name-First: Yutong Author-X-Name-Last: Yin Author-Name: Ben Niu Author-X-Name-First: Ben Author-X-Name-Last: Niu Author-Name: Kun Jiang Author-X-Name-First: Kun Author-X-Name-Last: Jiang Author-Name: Hao Jiang Author-X-Name-First: Hao Author-X-Name-Last: Jiang Author-Name: Huanqing Wang Author-X-Name-First: Huanqing Author-X-Name-Last: Wang Title: Event-triggered adaptive decentralised control for switched interconnected nonlinear systems with unmodeled dynamics and full state constraints Abstract: In this paper, an event-triggered adaptive decentralised control strategy for a class of switched interconnected nonlinear systems is presented, which considers full-state constraints and unmodeled dynamics, simultaneously. In the controller design process, the approximation capability of radical basis function neural networks (RBF NNs) is used to estimate the unknown functions of the system. The interference caused by unmodeled dynamics is overcome by introducing a dynamic signal. In addition, the barrier Lyapunov function (BLF) is constructed for each subsystem to dispose the influence of state constraints. An adaptive control scheme with event-triggered mechanism is proposed to reduce communication burden. It is shown that the proposed event-triggered controller and an adaptive neural decentralised control strategy are designed such that all the signals in the closed-loop system are guaranteed to be bounded, the tracking errors of the system converge to a small neighbourhood of the origin and the full state constraints are not violated. Finally, a simulation result shows the effectiveness of the developed approach. Journal: International Journal of Systems Science Pages: 1639-1658 Issue: 8 Volume: 53 Year: 2022 Month: 06 X-DOI: 10.1080/00207721.2021.2019346 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2019346 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:8:p:1639-1658 Template-Type: ReDIF-Article 1.0 Author-Name: Ding Wang Author-X-Name-First: Ding Author-X-Name-Last: Wang Author-Name: Xin Xu Author-X-Name-First: Xin Author-X-Name-Last: Xu Title: A data-based neural policy learning strategy towards robust tracking control design for uncertain dynamic systems Abstract: In this paper, a data-based neural policy learning method is established to solve the robust tracking control problem of a class of continuous-time systems which have two kinds of uncertainties at the same time. First, the robust trajectory tracking is achieved by controlling the tracking error to zero. The specific implementation strategy is to construct an augmented system including the tracking error and then transform the robust tracking control problem into an optimal control problem by selecting a suitable cost function. Then, a neural network identifier is built to reconstruct the unknown dynamics and a policy iteration algorithm is adopted by using a critic neural network. In this way, the Hamilton–Jacobi–Bellman equation can be solved. Through this learning algorithm, the approximate optimal control policy is obtained and the solution of the robust tracking control problem can be derived. Finally, two simulation examples are proposed to verify the effectiveness of the developed method. Journal: International Journal of Systems Science Pages: 1719-1732 Issue: 8 Volume: 53 Year: 2022 Month: 06 X-DOI: 10.1080/00207721.2021.2023685 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2023685 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:8:p:1719-1732 Template-Type: ReDIF-Article 1.0 Author-Name: Feiyang Yang Author-X-Name-First: Feiyang Author-X-Name-Last: Yang Author-Name: Zhiyong Yu Author-X-Name-First: Zhiyong Author-X-Name-Last: Yu Author-Name: Haijun Jiang Author-X-Name-First: Haijun Author-X-Name-Last: Jiang Title: Distributed finite-time optimisation for multi-agent systems via event-triggered aperiodically intermittent communication Abstract: In this paper, the finite-time distributed optimisation problem for multi-agent systems (MASs) is investigated by proposing a kind of new event-based aperiodically intermittent communication strategy. Firstly, the distributed optimisation problem with the sum of local objective functions is considered. A novel finite-time event-triggered intermittent control protocol is proposed over undirected networks, and some sufficient conditions are obtained to ensure the finite-time consensus of MASs and the asymptotical solvability of the optimisation problem. Secondly, a more general distributed optimisation problem, in which the optimisation objective is the convex combination of local objective functions, is considered and we also prove that MASs can achieve consensus in finite-time and asymptotically reach the optimal solution under the proposed protocol over directed networks. Finally, two numerical examples are given to demonstrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 1674-1689 Issue: 8 Volume: 53 Year: 2022 Month: 06 X-DOI: 10.1080/00207721.2021.2019348 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2019348 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:8:p:1674-1689 Template-Type: ReDIF-Article 1.0 Author-Name: Yanxi Chen Author-X-Name-First: Yanxi Author-X-Name-Last: Chen Author-Name: Qiankun Song Author-X-Name-First: Qiankun Author-X-Name-Last: Song Author-Name: Zhenjiang Zhao Author-X-Name-First: Zhenjiang Author-X-Name-Last: Zhao Author-Name: Yurong Liu Author-X-Name-First: Yurong Author-X-Name-Last: Liu Author-Name: Fuad E. Alsaadi Author-X-Name-First: Fuad E. Author-X-Name-Last: Alsaadi Title: Global Mittag-Leffler stability for fractional-order quaternion-valued neural networks with piecewise constant arguments and impulses Abstract: This paper is devoted to analysing the global Mittag-Leffler stability of fractional-order quaternion-valued neural networks with piecewise constant arguments and impulses. The quaternion direct method is adopted to address the considered model avoiding any decomposition. By utilising the matrix inequality technique and Lyapunov direct method, some sufficient conditions to guarantee the global Mittag-Leffler stability of equilibrium point for the considered model are obtained in the form of quaternion-valued linear matrix inequalities (LMIs). To certify the validity of the derived result, a numerical example is presented. Journal: International Journal of Systems Science Pages: 1756-1768 Issue: 8 Volume: 53 Year: 2022 Month: 06 X-DOI: 10.1080/00207721.2021.2023688 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2023688 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:8:p:1756-1768 Template-Type: ReDIF-Article 1.0 Author-Name: Changyuan Tian Author-X-Name-First: Changyuan Author-X-Name-Last: Tian Author-Name: Kaien Liu Author-X-Name-First: Kaien Author-X-Name-Last: Liu Author-Name: Zhijian Ji Author-X-Name-First: Zhijian Author-X-Name-Last: Ji Title: Adaptive event-triggered consensus of multi-agent systems with general linear dynamics Abstract: This paper is concerned with adaptive event-triggered consensus of general linear multi-agent systems (MASs). Leaderless consensus and leader-following consensus are both considered. In order to avoid dependence on global information about system topology and reduce communication frequency, distributed adaptive event-triggered consensus protocols are designed. Through model transformation, the consensus problems of MASs are transformed into the stability problems of the corresponding error systems. By using algebraic graph theory and Lyapunov stability theory, some sufficient criteria for MASs to achieve consensus are obtained. Meanwhile, it is proved that the proposed event-trigger conditions can exclude Zeno behaviour effectively. One simulation example is provided to validate the effectiveness of obtained theoretical results. Journal: International Journal of Systems Science Pages: 1744-1755 Issue: 8 Volume: 53 Year: 2022 Month: 06 X-DOI: 10.1080/00207721.2021.2023687 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2023687 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:8:p:1744-1755 Template-Type: ReDIF-Article 1.0 Author-Name: Xu Zhang Author-X-Name-First: Xu Author-X-Name-Last: Zhang Author-Name: Jieqing Tan Author-X-Name-First: Jieqing Author-X-Name-Last: Tan Author-Name: Lei He Author-X-Name-First: Lei Author-X-Name-Last: He Author-Name: Yangang Yao Author-X-Name-First: Yangang Author-X-Name-Last: Yao Author-Name: Jian Wu Author-X-Name-First: Jian Author-X-Name-Last: Wu Title: Event-triggered-based fixed-time adaptive prescribed tracking control for stochastic nonlinear systems with actuator faults Abstract: In this paper, the event-triggered fixed-time control scheme is developed for a class of stochastic nonlinear systems with prescribed boundary constraints and actuator faults. For the controlled systems with unknown nonlinear functions, the neural networks are employed to reestablish the system model. Based on the event-triggered control technology, an original adaptive fixed-time control strategy with prescribed performance and the fault state is proposed by using the backstepping technique. Under the developed adaptive controller, the tracking error satisfies the predefined boundary functions and all the closed-loop system signals are bounded in probability in a fixed time, and the convergence time is irrelevant to the initial states of the system. The practicability of the designed controller is illustrated by a simulation example. Journal: International Journal of Systems Science Pages: 1600-1614 Issue: 8 Volume: 53 Year: 2022 Month: 06 X-DOI: 10.1080/00207721.2021.2017509 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2017509 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:8:p:1600-1614 Template-Type: ReDIF-Article 1.0 Author-Name: Hadi Mahmoodi Author-X-Name-First: Hadi Author-X-Name-Last: Mahmoodi Author-Name: Khoshnam Shojaei Author-X-Name-First: Khoshnam Author-X-Name-Last: Shojaei Title: Adaptive bipartite output consensus of nonlinear fractional-order multi-agent systems Abstract: A distributed control approach is proposed for a class of fractional-order multi-agent systems with unknown nonlinearities under signed bipartite digraphs. Unlike the existing results, the follower's dynamics are studied with strict-feedback fractional-order form as well as a general class of actuator faults with unknown magnitude, pattern and occurrence time is studied. To provide a simple and efficient control strategy, first a novel command fractional-order filter based on the backstepping design is proposed such that the difficulty of calculation of the fractional derivative order of the virtual control laws is removed, as well as improving the bipartite output consensus accuracy. Then, to cope with dynamic's uncertainties, the proposed method is integrated with adaptive neural approximator and minimal learning parameter scheme which reduces communication loads. Besides, a distributed fault compensation protocol based upon the proposed command fractional-order filter and relative output information of neighbours' agents is extended to ensure bipartite output consensus, without relying on any global information of the singed digraph as well as any explicit fault detection mechanism. Finally, it is guaranteed that all the error signals within the closed-loop network system are converged into adjustable compact sets around the origin. The simulation results verify the validity of the presented control approach. Journal: International Journal of Systems Science Pages: 1615-1638 Issue: 8 Volume: 53 Year: 2022 Month: 06 X-DOI: 10.1080/00207721.2021.2019345 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2019345 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:8:p:1615-1638 Template-Type: ReDIF-Article 1.0 Author-Name: Minglei Xiong Author-X-Name-First: Minglei Author-X-Name-Last: Xiong Author-Name: Guangming Xie Author-X-Name-First: Guangming Author-X-Name-Last: Xie Title: Simple agents, smart swarms: a cooperative search algorithm for swarms of autonomous underwater vehicles Abstract: Searching within an unknown environment quickly by utilising a small number of high-capacity robots or a large number of low-cost robots poses an endless question with a non-trivial answer. If the robot's operating environment is underwater, the problem becomes even more complicated due to its three-dimensional nature and the communication restrictions. In this paper, we propose an algorithm appropriate for target searching in unknown underwater environments. The proposed method considers a homogeneous decentralised multi-robot coordination scheme applied from a single-robot configuration to a large swarm. In this model, simple agents (SA) form smart swarms (SS), despite SA do not need to have a strong ability to transmit search and location information, and the SS can efficiently perform search tasks in unknown environments. Specifically, when a swarm performs a search task, agents only search according to the simple strategy and share mapping information within their communication range, enhancing search efficiency. Simulation results demonstrate the effectiveness and that search time reduces proportionally by increasing the number of robots comprising the swarm, while the repetition search rate does not increase with the expansion of the swarm size. We believe that our SS architecture provides insights into the future application of swarm intelligence. Journal: International Journal of Systems Science Pages: 1995-2009 Issue: 9 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2032465 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2032465 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:9:p:1995-2009 Template-Type: ReDIF-Article 1.0 Author-Name: Hongzhen Xie Author-X-Name-First: Hongzhen Author-X-Name-Last: Xie Author-Name: Guangdeng Zong Author-X-Name-First: Guangdeng Author-X-Name-Last: Zong Author-Name: Wei Bu Author-X-Name-First: Wei Author-X-Name-Last: Bu Author-Name: Dong Yang Author-X-Name-First: Dong Author-X-Name-Last: Yang Author-Name: Kaibo Shi Author-X-Name-First: Kaibo Author-X-Name-Last: Shi Title: Input-to-state practical stability of switched affine systems with time-varying delay: an event-triggered mechanism Abstract: This paper investigates the problem of the input-to-state practical stability for switched affine systems with time-varying delay and essentially bounded exogenous disturbance. The presence of affine terms makes switched systems have multiple switched equilibria and brings further difficulties in the stability analysis, control synthesis and avoiding Zeno behaviours compared with the non-affine switched systems. To overcome these difficulties, first, a convex combination approach is employed to acquire a set of attainable equilibria limited by the system matrix, the delay term matrix, and affine terms. Second, a mode-dependent event-triggered mechanism with sampled-data information is established, which not only ignores Zeno behaviour but also effectively reduces network resource waste. An input-to-state practical stability criterion is proposed for the closed-loop system by converting the event-triggered control system into a time-delay system and introducing a less conservative time-dependent Lyapunov–Krasovskii functional. Moreover, a sampled-data switching law and a set of executable controllers are also co-designed. Finally, an application example of the flyback DC–DC converter demonstrates the efficiency of the proposed result. Journal: International Journal of Systems Science Pages: 1983-1994 Issue: 9 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2031341 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2031341 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:9:p:1983-1994 Template-Type: ReDIF-Article 1.0 Author-Name: Lakshmi Dutta Author-X-Name-First: Lakshmi Author-X-Name-Last: Dutta Author-Name: Dushmanta Kumar Das Author-X-Name-First: Dushmanta Kumar Author-X-Name-Last: Das Title: Nonlinear disturbance observer-based adaptive nonlinear model predictive control design for a class of nonlinear MIMO system Abstract: Model predictive control with less prior knowledge of system uncertainty and external disturbance is a long-standing theoretical and practical problem. In this paper, a solution is presented by proposing a disturbance observer-based adaptive nonlinear model predictive control scheme for a class of nonlinear MIMO systems. Our scheme requires the state and parameterdependent state-space model to linearise the nonlinear system along the prediction horizon. To cope with the unknown system uncertainty, the multiple estimation model and the concept of second-level adaptation [Pandey, V. K., Kar, I., & Mahanta, C. (2014). Multiple models and second level adaptation for a class of nonlinear systems with nonlinear parameterisation. In Industrial and Information Systems (ICIIS), 2014 9th International Conference on (pp. 1–6). IEEE.] technique for the nonlinear system is used. To ensure the boundedness of the estimated parameter, a projection-based adaptive law [Hovakimyan, N., & Cao, C. (2010). L1 adaptive control theory: Guaranteed robustness with fast adaptation. SIAM.] is used. Using a twin-rotor MIMO system (TRMS), the effectiveness of the proposed control algorithm has been verified. Simulation and real-time results show that the proposed control algorithm performs better than the existing control algorithm in the presence of unknown external disturbance and parameter uncertainties. Journal: International Journal of Systems Science Pages: 2010-2031 Issue: 9 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2034067 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2034067 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:9:p:2010-2031 Template-Type: ReDIF-Article 1.0 Author-Name: Wenjie Si Author-X-Name-First: Wenjie Author-X-Name-Last: Si Author-Name: Xunde Dong Author-X-Name-First: Xunde Author-X-Name-Last: Dong Author-Name: Yanfei Dong Author-X-Name-First: Yanfei Author-X-Name-Last: Dong Title: Adaptive neural smooth finite-time controller for large-scale stochastic nonlinear state-constrained systems with feasibility removal and time delays Abstract: This paper studies the adaptive smooth finite-time neural controller design for large-scale stochastic nonlinear systems  subject to command filter and time-delay interactions. The main features are (1) the communication interconnection  has the output delay between subsystems; (2) the smooth finite time strategy is given  for stochastic disturbances; (3) all states are confined in the constrained space without feasibility conditions. First, the state time-delay interactions are tackled by the appropriate establishment of Lyapunov–Krasovskii functionals. Second, for full-state constraints, state-related mappings are employed to remove the feasibility. Then, by constructing the switching virtual control signals, the smooth fast finite-time feature is attached to the controller. Finally, based on finite-time stability theory in probability, command filter, and backstepping technique, the smooth fast finite-time neural controller is constructed to make that all system states converge in finite time, all closed-loop variables are bounded in probability, and full-state constraints are satisfied. Simulation results are provided to test the correctness of the method. Journal: International Journal of Systems Science Pages: 1830-1847 Issue: 9 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2025501 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2025501 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:9:p:1830-1847 Template-Type: ReDIF-Article 1.0 Author-Name: Xiang Chen Author-X-Name-First: Xiang Author-X-Name-Last: Chen Author-Name: Zhengrong Xiang Author-X-Name-First: Zhengrong Author-X-Name-Last: Xiang Title: Decentralised adaptive fuzzy event-triggered control for nonlinear switched large-scale systems with unknown backlash-like hysteresis Abstract: A decentralised adaptive fuzzy event-triggered control problem of nonlinear switched large-scale systems with unknown hysteresis is investigated in this article, in which the unknown hysteresis is expressed by several nonlinear differential equations. The unknown nonlinearities in the systems are generally approximated by fuzzy logic systems due to their excellent function approximation abilities. Through employing dynamic surface control technology, the issue of complexity explosion resulting from repeated differentiation in the traditional backstepping method is overcome. A decentralised event-triggered controller is developed through adopting the common Lyapunov function approach. In the closed-loop system, the whole signals are semi-globally uniformly ultimately bounded which can be guaranteed through adopting the proposed scheme. Ultimately, the simulation results of two examples demonstrate the validity of the proposed strategy. Journal: International Journal of Systems Science Pages: 1809-1829 Issue: 9 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2021.2024297 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2024297 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:9:p:1809-1829 Template-Type: ReDIF-Article 1.0 Author-Name: Ye Zhao Author-X-Name-First: Ye Author-X-Name-Last: Zhao Author-Name: Xiao He Author-X-Name-First: Xiao Author-X-Name-Last: He Author-Name: Lifeng Ma Author-X-Name-First: Lifeng Author-X-Name-Last: Ma Author-Name: Hongjian Liu Author-X-Name-First: Hongjian Author-X-Name-Last: Liu Title: Unbiasedness-constrained least squares state estimation for time-varying systems with missing measurements under round-robin protocol Abstract: In this paper, we present an unbiasedness-constrained approach to deal with the state estimation issue for a class of time-varying stochastic systems subject to missing measurements. The state estimates are generated from measurements collected by multiple sensing nodes whose information are transmitted via communication networks under scheduling of the Round-Robin protocol. The purpose of the addressed problem is to design an optimal state estimation algorithm in the sense of least mean square with an unknown initial condition in the existence of possible data missing. By resorting to the batch form technique, the optimal filter is proposed by minimising the estimation error covariance in the sense of matrix trace subject to the unbiasedness constraint. Then, a recursive computational algorithm is exploited for the optimal filter to facilitate practical realisation. Finally, simulations are carried out to demonstrate that the proposed method can be utilised to handle missing measurements in the multi-sensor systems when the initial states are unavailable, which outperforms the Kalman filter especially in the initial stage. Journal: International Journal of Systems Science Pages: 1925-1941 Issue: 9 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2031338 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2031338 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:9:p:1925-1941 Template-Type: ReDIF-Article 1.0 Author-Name: Amine Othmane Author-X-Name-First: Amine Author-X-Name-Last: Othmane Author-Name: Lothar Kiltz Author-X-Name-First: Lothar Author-X-Name-Last: Kiltz Author-Name: Joachim Rudolph Author-X-Name-First: Joachim Author-X-Name-Last: Rudolph Title: Survey on algebraic numerical differentiation: historical developments, parametrization, examples, and applications Abstract: The historical developments, parametrization, and numerous applications of algebraic numerical differentiation methods initiated by Fliess, Mboup, Join, and Sira-Ramírez are presented. These numerical non-asymptotic approximation approaches for higher-order derivatives of noisy signals are suited for real-time embedded systems. The different derivation approaches are reviewed according to their historical developments. Links to numerous established numerical differentiation algorithms like the Savitzky-Golay filters are discussed. Recent tuning approaches that are reviewed facilitate a parametrization for a good estimation accuracy without relying on trial-and-error approaches, which is essential for industrial applications. The use of these guidelines is demonstrated using two concrete examples: Identification of system parameters from noisy measurements and numerical inversion of the dynamics of analogue anti-aliasing filters. Moreover, an extensive literature survey with various applications of these methods by the control community in all engineering areas is presented. The problems solved include, but are not limited to, parameter estimation, state reconstruction, feedback control, fault diagnosis, anomaly detection, fault-tolerant control, and model-free control. A MATLAB and Python toolbox implementing all necessary functions for the design, analysis, and discretization of the filters is made available, for which a link is provided. Its use is demonstrated in a short appendix. Journal: International Journal of Systems Science Pages: 1848-1887 Issue: 9 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2025948 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2025948 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:9:p:1848-1887 Template-Type: ReDIF-Article 1.0 Author-Name: Han Dong Author-X-Name-First: Han Author-X-Name-Last: Dong Author-Name: Shaosheng Zhou Author-X-Name-First: Shaosheng Author-X-Name-Last: Zhou Title: Extended dissipativity and dynamical output feedback control for interval type-2 singular semi-Markovian jump fuzzy systems Abstract: This paper considers the problems of stochastic admissibility and extended dissipativity analysis, as well as dynamical output feedback controller design for interval type-2 singular semi-Markovian jump fuzzy systems. By utilising the partition method and the matrix decomposition technique, an improved approach of handling the time-varying transition rates is proposed. Based on this approach, a sufficient condition with less conservatism is established to guarantee that the closed-loop system is regular, impulse-free, exponentially stable in mean square and extended dissipative. Determining the parametric matrices of the controller via the obtained sufficient condition is difficult, since some parametric matrices factor between two nonsquare matrices. A dynamical output feedback control scheme is proposed by utilising a vital result which is proposed inspired by Projection lemma. It is worth noting that no conservatism is introduced in controller design due to the sufficiency and necessity of this result. Finally, simulation examples are given to show the effectiveness of the proposed scheme. Journal: International Journal of Systems Science Pages: 1906-1924 Issue: 9 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2031337 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2031337 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:9:p:1906-1924 Template-Type: ReDIF-Article 1.0 Author-Name: Wei Zhou Author-X-Name-First: Wei Author-X-Name-Last: Zhou Author-Name: Danxue Luo Author-X-Name-First: Danxue Author-X-Name-Last: Luo Author-Name: Zeshui Xu Author-X-Name-First: Zeshui Author-X-Name-Last: Xu Title: Review of fuzzy investment research considering modelling environment and element fusion Abstract: Reasonable investment strategies are of great importance for investors, companies, or even countries. Therefore, many investment methods have been proposed to assist people with their investment decision-makings. In this paper, we focus on qualitative investment methods, namely fuzzy investment theory, and provide an overview of the related studies via numerical analysis and literature review. As for the numerical analysis, the status quo and evolution track of fuzzy investment research are presented from static and dynamic perspectives. Specifically, the main publish stages, the whole development trend and the theory diffusion paths of this field are provided in detail. Regarding the literature review, we summaries the fuzzy investment models with consideration of diverse fuzzy environments such as the interval-valued fuzzy, intuitionistic fuzzy, and hesitant fuzzy environments. Various elements fused in the fuzzy investment models such as risk factor, decision-making technique, and portfolio construction are introduced and overviewed as well. Furthermore, we demonstrate the corresponding practical applications of the fuzzy investment methods and clarify their application processes. This study would be helpful for readers, investors, and researchers to comprehensively learn and apply the fuzzy investment theory, which is an effective tool to fuse their subjective opinions into real investment decision-makings. Journal: International Journal of Systems Science Pages: 1958-1982 Issue: 9 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2031340 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2031340 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:9:p:1958-1982 Template-Type: ReDIF-Article 1.0 Author-Name: Chen Yuan Author-X-Name-First: Chen Author-X-Name-Last: Yuan Author-Name: Huaicheng Yan Author-X-Name-First: Huaicheng Author-X-Name-Last: Yan Author-Name: Yuan Wang Author-X-Name-First: Yuan Author-X-Name-Last: Wang Author-Name: Yufang Chang Author-X-Name-First: Yufang Author-X-Name-Last: Chang Author-Name: Xisheng Zhan Author-X-Name-First: Xisheng Author-X-Name-Last: Zhan Title: Formation-containment control of heterogeneous linear multi-agent systems with adaptive event-triggered strategies Abstract: This paper investigates the formation-containment (FC) control issue for heterogeneous linear multi-agent systems (MASs) via distributed event-triggered control. The target for leaders is to form a time-varying formation (TVF) shape around a reference signal which is the virtual leader. To estimate the virtual leader's state, we devise an adaptive event-triggered observer for leaders. In that case, followers are required to converge to the convex combinations of the leaders' outputs. Similarly, another observer is designed for followers to estimate the state information of the convex hull. With the TVF shapes and local sampled information of the designed observers, two distributed event-based protocols are proposed for leaders and followers based on the output regulation framework. Continuous communications are not required for either control laws updating or triggering functions and it is proved that Zeno behaviour is strictly excluded for each agent. Finally, a simulation example is provided to demonstrate the practicability of the theoretical results. Journal: International Journal of Systems Science Pages: 1942-1957 Issue: 9 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2031339 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2031339 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:9:p:1942-1957 Template-Type: ReDIF-Article 1.0 Author-Name: Weizhao Song Author-X-Name-First: Weizhao Author-X-Name-Last: Song Author-Name: Jian Feng Author-X-Name-First: Jian Author-X-Name-Last: Feng Author-Name: Jinze Liu Author-X-Name-First: Jinze Author-X-Name-Last: Liu Title: Distributed MIMO MFAC-based consensus tracking strategy for multiagent systems with fixed and switching topologies Abstract: In this research, the MIMO model-free-adaptive-control-based (MFAC-based) consensus tracking scheme for multiagent systems (MASs) has been proposed. The unknown system model of each agent is constructed by the compact form dynamic linearisation (CFDL) technique. The agents can receive the information from their neighbours, and only some agents, not all agents, can obtain the reference trajectory. Firstly, the distributed MIMO MFAC-based consensus tracking strategy for each follower agent with fixed communication topology is proposed. The proof of tracking convergence for this control strategy indicates that each agent can follow the reference trajectory. Then, we prove the MFAC-based consensus tracking scheme can be also applied to the MASs with switching topologies. Compared with prior work, the main features of this paper are that the dynamic models of agents are built only using real-time input/output data, and the MFAC-based consensus strategy can be utilised for MIMO MASs with switching topologies. Finally, two numerical simulations are provided to verify the merits and feasibility of the consensus strategy for MASs with fixed and switching topologies, respectively. Journal: International Journal of Systems Science Pages: 1888-1905 Issue: 9 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2031336 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2031336 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:9:p:1888-1905 Template-Type: ReDIF-Article 1.0 Author-Name: Helmut Niederwieser Author-X-Name-First: Helmut Author-X-Name-Last: Niederwieser Author-Name: Markus Tranninger Author-X-Name-First: Markus Author-X-Name-Last: Tranninger Author-Name: Richard Seeber Author-X-Name-First: Richard Author-X-Name-Last: Seeber Author-Name: Markus Reichhartinger Author-X-Name-First: Markus Author-X-Name-Last: Reichhartinger Title: Unknown input observer design for linear time-invariant multivariable systems based on a new observer normal form Abstract: In various applications in the field of control engineering, the estimation of the state variables of dynamic systems in the presence of unknown inputs plays an important role. Existing methods require the so-called observer matching condition to be satisfied, rely on the boundedness e variables or exhibit an increased observer order of at least twice the plant order. In this article, a novel observer normal form for strongly observable linear time-invariant multivariable systems is proposed. In contrast to classical normal forms, the proposed approach also takes the unknown inputs into account. The proposed observer normal form allows for the straightforward construction of a higher-order sliding mode observer, which ensures global convergence of the estimation error within finite time even in the presence of unknown bounded inputs. Its application is not restricted to systems which satisfy the aforementioned limitations of already existing unknown input observers. The proposed approach can be exploited for the reconstruction of unknown inputs with bounded derivative and robust state-feedback control, which is shown by means of a tutorial example. Numerical simulations confirm the effectiveness of the presented work. Journal: International Journal of Systems Science Pages: 2180-2206 Issue: 10 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2046201 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2046201 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:10:p:2180-2206 Template-Type: ReDIF-Article 1.0 Author-Name: Pan Zhang Author-X-Name-First: Pan Author-X-Name-Last: Zhang Author-Name: Xuzhi Lai Author-X-Name-First: Xuzhi Author-X-Name-Last: Lai Author-Name: Yawu Wang Author-X-Name-First: Yawu Author-X-Name-Last: Wang Author-Name: Chun-Yi Su Author-X-Name-First: Chun-Yi Author-X-Name-Last: Su Author-Name: Min Wu Author-X-Name-First: Min Author-X-Name-Last: Wu Title: PSO-based nonlinear model predictive planning and discrete-time sliding tracking control for uncertain planar underactuated manipulators Abstract: Control of planar underactuated manipulators (PUM) with unknown parameter perturbations and external disturbances is still a challenging task due to their complex and peculiar characteristics. The research on it is significant in the view of wide applications in practice. In this paper, taking an uncertain 3-degree of freedom PUM with a free first joint as a benchmark example, we discuss its position control issue. Specifically, an integrated control method is developed, including the nonlinear model prediction control (NMPC) based on an improved particle swarm optimisation (PSO) algorithm and the discrete-time fast terminal sliding mode (FTSM) control. The PSO-based NMPC is proposed for planning discrete trajectories of the active joint angles in real time, along which the manipulator end-point can reach the desired position. Then the discrete-time FTSM controllers are designed to keep the active joints tracking the discrete trajectories, where the uncertainties related to the active links/joints are estimated by time delay estimation method. Besides, the influence of the uncertainties related to the free link/joint on the system can be made up by the NMPC in real time. It is confirmed via simulations that the above method can achieve the accurate positioning of such an uncertain manipulator. Journal: International Journal of Systems Science Pages: 2075-2089 Issue: 10 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2039797 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2039797 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:10:p:2075-2089 Template-Type: ReDIF-Article 1.0 Author-Name: Matheus S. de Oliveira Author-X-Name-First: Matheus S. Author-X-Name-Last: de Oliveira Author-Name: Kayol S. Mayer Author-X-Name-First: Kayol S. Author-X-Name-Last: Mayer Author-Name: Renan L. Pereira Author-X-Name-First: Renan L. Author-X-Name-Last: Pereira Title: Discrete-time ℋ2 and ℋ∞ poly-quadratic filter designs for polytopic LPV systems Abstract: This paper addresses novel discrete-time $ \mathcal {H}_2 $ H2 and $ \mathcal {H}_\infty $ H∞ filter designs for polytopic linear parameter-varying (LPV) systems. A less conservative approach is employed to obtain the synthesis conditions, such that the polytopic LPV system state-space representation may have all its matrices subject to time-varying parameters and be solved by an efficient procedure. Parameter-dependent Lyapunov functions are used to derive both $ \mathcal {H}_2 $ H2 and $ \mathcal {H}_\infty $ H∞ discrete-time filter design conditions resulting in a poly-quadratic approach in terms of linear matrix inequalities. A multi-objective $ \mathcal {H}_2/\mathcal {H}_\infty $ H2/H∞ solution is also provided. The proposed conditions have the advantage of recovering the established poly-quadratic concept as a particular case, which was an unresolved problem until the present paper. Moreover, using the addressed approach, it is possible to obtain improved quadratic $ \mathcal {H}_2 $ H2 and $ \mathcal {H}_\infty $ H∞ filters. Numerical examples illustrate the proposed design methods applicability as an observer to estimate LPV system states and its performance in comparison with other approaches. Journal: International Journal of Systems Science Pages: 2219-2234 Issue: 10 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2049394 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2049394 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:10:p:2219-2234 Template-Type: ReDIF-Article 1.0 Author-Name: Wookyong Kwon Author-X-Name-First: Wookyong Author-X-Name-Last: Kwon Author-Name: JunMin Park Author-X-Name-First: JunMin Author-X-Name-Last: Park Author-Name: Sangmoon Lee Author-X-Name-First: Sangmoon Author-X-Name-Last: Lee Title: Bidirectional fragmentation approach on the stability analysis of sampled-data linear systems Abstract: In this paper, a novel stability analysis method for continuous-time linear systems with aperiodic sampling is presented by using a partitioned looped-functional approach. Based on the Lyapunov function with a new looped-functional, the stability condition is derived by using a bidirectional fragmentation of a sampling interval from $ t_{k} $ tk to $ t_{k+1} $ tk+1, which is divided into two sides forward and backward directions based on time t. For the bidirectional regions, the new looped functional is constructed by taking into account relations between states defined at the fragmented time and the sampling time. The improvement using the proposed scheme is shown through the comparisons with existing methods. Journal: International Journal of Systems Science Pages: 2033-2044 Issue: 10 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2035012 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2035012 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:10:p:2033-2044 Template-Type: ReDIF-Article 1.0 Author-Name: A. V. Platonov Author-X-Name-First: A. V. Author-X-Name-Last: Platonov Title: Stability conditions for some classes of time-varying switched systems Abstract: In the paper, some classes of time-varying nonlinear switched systems are considered. The stability problem is investigated. The Lyapunov direct method and the theory of differential inequalities are used. The non-stationary switched comparison equation with hybrid degrees is constructed for the considered system. Switching in the comparison equation can be caused by changing the operating modes, as well as changing non-stationary parameters of the system. Sufficient conditions of the asymptotic and finite-time stability are obtained. The region of attraction for the given equilibrium position is estimated. Some examples are presented to illustrate the results. In particular, some classes of nonlinear mechanical system are studied. Journal: International Journal of Systems Science Pages: 2235-2246 Issue: 10 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2049917 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2049917 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:10:p:2235-2246 Template-Type: ReDIF-Article 1.0 Author-Name: Yuefei Yuan Author-X-Name-First: Yuefei Author-X-Name-Last: Yuan Author-Name: Qiankun Song Author-X-Name-First: Qiankun Author-X-Name-Last: Song Author-Name: Bo Zhou Author-X-Name-First: Bo Author-X-Name-Last: Zhou Title: A Wasserstein distributionally robust chance constrained programming approach for emergency medical system planning problem Abstract: This paper proposes a distributionally robust chance constrained programming model for an emergency medical system location problem with uncertain demands. By minimising the total expected cost, the location of emergency medical stations, the allocation of the ambulances and demand assignments of system are optimised. The Wasserstein-metric is employed to construct the ambiguity set centred at an empirical distribution with a proper radius, which contains all the probability distributions of the uncertainties. We introduce a big-M technique to reformulate distributionally robust chance constrained programming into a corresponding mixed integer programm, which can be inner and outer approximated by Value-at-Risk (VaR) and Conditional-Value-at-Risk (CVaR). Numerical experiments are illustrated to demonstrate the effectiveness of the formulations. Journal: International Journal of Systems Science Pages: 2136-2148 Issue: 10 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2040641 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2040641 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:10:p:2136-2148 Template-Type: ReDIF-Article 1.0 Author-Name: Huan Pan Author-X-Name-First: Huan Author-X-Name-Last: Pan Author-Name: Xinghuo Yu Author-X-Name-First: Xinghuo Author-X-Name-Last: Yu Author-Name: Ling Guo Author-X-Name-First: Ling Author-X-Name-Last: Guo Author-Name: Li Xue Author-X-Name-First: Li Author-X-Name-Last: Xue Title: Consensus of fractional-order multi-agent systems via current and time-delay states feedback Abstract: The consensus problems of fractional-order multi-agent systems(FOMAS) are investigated under a fixed interaction graph. A consensus protocol that has current and time-delay states is designed. The conception of practical consensus of FOMAS is proposed. The asymptotical consensus condition is obtained by taking advantage of Laplace transform. Furthermore, the practical consensus condition of the FOMAS with the protocol is given by direct derivation. Through numerical simulation, we find that the standard control protocol can not achieve consensus in some situations. However, the proposed protocol could make the states of multi-agent be consensus or even practical consensus. Journal: International Journal of Systems Science Pages: 2110-2120 Issue: 10 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2040639 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2040639 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:10:p:2110-2120 Template-Type: ReDIF-Article 1.0 Author-Name: Yonggang Chen Author-X-Name-First: Yonggang Author-X-Name-Last: Chen Author-Name: Kunbao Ma Author-X-Name-First: Kunbao Author-X-Name-Last: Ma Author-Name: Rui Dong Author-X-Name-First: Rui Author-X-Name-Last: Dong Title: Dynamic anti-windup design for linear systems with time-varying state delay and input saturations Abstract: This paper considers the dynamic anti-windup design problem for linear systems with time-varying state delay, input saturations and external disturbances. A dynamic anti-windup compensator is first designed that is dependent on the upper bound of the time-varying delay. Then, using an augmented Lyapunov–Krasovskii functional, a distributed-delay-dependent sector condition, some advanced inequalities and some congruence transformations, sufficient conditions are established under which the state trajectories of the closed-loop systems are bounded and meanwhile, the $ H_\infty $ H∞ performance can be guaranteed. The anti-windup compensator gain can be explicitly solved by means of linear matrix inequalities. For the case of constant delay, the corresponding result is also presented. Finally, two numerical examples illustrate the effectiveness and advantages of the proposed results. Journal: International Journal of Systems Science Pages: 2165-2179 Issue: 10 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2043483 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2043483 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:10:p:2165-2179 Template-Type: ReDIF-Article 1.0 Author-Name: Abhijit Mazumdar Author-X-Name-First: Abhijit Author-X-Name-Last: Mazumdar Author-Name: Srinivasan Krishnaswamy Author-X-Name-First: Srinivasan Author-X-Name-Last: Krishnaswamy Author-Name: Somanath Majhi Author-X-Name-First: Somanath Author-X-Name-Last: Majhi Title: On passivity, feedback passivity, and feedback passivity over erasure network: a piecewise affine approximation approach Abstract: In this paper, we deal with the problem of local passivity and local feedback passivation of smooth discrete-time nonlinear systems by considering their piecewise affine approximations. Sufficient conditions are derived for local passivity and local feedback passivity. These results are then extended to systems that operate over Gilbert-Elliott type communication channels. One of the main features of the approach presented in this paper is that it allows us to design the controller by solving a few linear matrix inequalities (LMIs) that are subject to certain constraints. As a special case, results for feedback passivity of piecewise affine systems over a lossy channel are also derived. Journal: International Journal of Systems Science Pages: 2090-2109 Issue: 10 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2039974 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2039974 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:10:p:2090-2109 Template-Type: ReDIF-Article 1.0 Author-Name: Licheng Wang Author-X-Name-First: Licheng Author-X-Name-Last: Wang Author-Name: Shuai Liu Author-X-Name-First: Shuai Author-X-Name-Last: Liu Author-Name: Yuhan Zhang Author-X-Name-First: Yuhan Author-X-Name-Last: Zhang Author-Name: Derui Ding Author-X-Name-First: Derui Author-X-Name-Last: Ding Author-Name: Xiaojian Yi Author-X-Name-First: Xiaojian Author-X-Name-Last: Yi Title: Non-fragile l2-l∞ state estimation for time-delayed artificial neural networks: an adaptive event-triggered approach Abstract: In this paper, the state estimation problem is investigated for a kind of time-delayed artificial neural networks subject to gain perturbations under the adaptive event-triggering scheme. To avoid wasting resources, the event-triggering scheme is adopted during the data transmission process from the sensors to the estimator where the triggering threshold can be dynamically adjusted. By means of the Lyapunov stability theory, sufficient conditions are provided to ensure that the estimation error dynamics achieves both the asymptotical stability and the $ l_2 $ l2- $ l_{\infty } $ l∞ performance. The desired non-fragile estimator gain is parameterised by solving certain matrix inequalities. At last, the usefulness of the proposed event-based non-fragile state estimator is shown via a numerical simulation example. Journal: International Journal of Systems Science Pages: 2247-2259 Issue: 10 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2049919 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2049919 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:10:p:2247-2259 Template-Type: ReDIF-Article 1.0 Author-Name: Xi Li Author-X-Name-First: Xi Author-X-Name-Last: Li Author-Name: Qiankun Song Author-X-Name-First: Qiankun Author-X-Name-Last: Song Author-Name: Yurong Liu Author-X-Name-First: Yurong Author-X-Name-Last: Liu Author-Name: Fuad E. Alsaadi Author-X-Name-First: Fuad E. Author-X-Name-Last: Alsaadi Title: Nash equilibrium and bang-bang property for the non-zero-sum differential game of multi-player uncertain systems with Hurwicz criterion Abstract: How to select the optimisation criterion of the performance function is a pivotal research topic for the uncertain differential game. The Hurwicz criterion is a flexible optimisation measure to allocate some weight between optimism and pessimism to achieve balance for both of them. Based on uncertainty theory, this paper considers the Nash equilibrium and bang-bang property for the multi-player non-zero-sum uncertain differential game model by applying the Hurwicz criterion to optimise the performance function. To coordinate onto the Nash equilibrium, an equilibrium equation is derived. In addition, the application of bang-bang optimal control in the multi-player game problem of the uncertain linear system is investigated. Finally, an example is shown to validate the results obtained. Journal: International Journal of Systems Science Pages: 2207-2218 Issue: 10 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2046202 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2046202 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:10:p:2207-2218 Template-Type: ReDIF-Article 1.0 Author-Name: Zhao-Hong Wang Author-X-Name-First: Zhao-Hong Author-X-Name-Last: Wang Author-Name: Yao-Lin Jiang Author-X-Name-First: Yao-Lin Author-X-Name-Last: Jiang Author-Name: Kang-Li Xu Author-X-Name-First: Kang-Li Author-X-Name-Last: Xu Title: Discrete orthogonal polynomials reduced models based on shift-transformation and discrete Walsh functions Abstract: This paper investigates model order reduction (MOR) methods of discrete-time systems via discrete orthogonal polynomials in the time domain. First, this system is expanded under discrete orthogonal polynomials, and the expansion coefficients are computed from a linear equation. Then the reduced-order system is produced by using the orthogonal projection matrix that is defined in terms of the expansion coefficients, which can match the first several expansion coefficients of the original output, and preserve the asymptotic stability and bounded-input/bounded-output (BIBO) stability. We also study the output error between the original system and its reduced-order system. Besides, the MOR method using discrete Walsh functions is proposed for discrete-time systems with inhomogeneous initial conditions. Finally, three numerical examples are given to illustrate the feasibility of the proposed methods. Journal: International Journal of Systems Science Pages: 2045-2062 Issue: 10 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2037780 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2037780 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:10:p:2045-2062 Template-Type: ReDIF-Article 1.0 Author-Name: Do Duc Thuan Author-X-Name-First: Do Duc Author-X-Name-Last: Thuan Author-Name: Nguyen Hong Son Author-X-Name-First: Nguyen Hong Author-X-Name-Last: Son Title: Solvability and stability of stochastic singular difference equations with constant coefficient matrices of index-ν Abstract: In this paper, we shall deal with stochastic singular difference equations (SSDEs) with constant coefficient matrices and nonlinear stochastic perturbations. The solvability and stability of SSDEs are difficult to study because of the singularity of the leading coefficient matrix. An index-ν concept is derived and formulas of solution are established for these equations. The continuous dependence of solution on initial condition is also considered. Finally, the stability of SSDEs is studied by using the method of Lyapunov functions. Some examples are given to illustrate the results. Journal: International Journal of Systems Science Pages: 2063-2074 Issue: 10 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2037781 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2037781 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:10:p:2063-2074 Template-Type: ReDIF-Article 1.0 Author-Name: J. Álvarez Author-X-Name-First: J. Author-X-Name-Last: Álvarez Author-Name: J. Servín Author-X-Name-First: J. Author-X-Name-Last: Servín Author-Name: J. A. Díaz Author-X-Name-First: J. A. Author-X-Name-Last: Díaz Author-Name: M. Bernal Author-X-Name-First: M. Author-X-Name-Last: Bernal Title: Differential algebraic observer-based trajectory tracking for parallel robots via linear matrix inequalities Abstract: This paper develops a novel observer-based trajectory tracking technique for parallel robots, modelled as differential algebraic equations, which assumes that only positions are available for control purposes while joint velocities should be estimated. Based on the direct Lyapunov method and a recently appeared factorisation for expressions in the differential mean value theorem, convex modelling and Finsler's lemma are combined to incorporate restrictions into the analysis. Two generalisations are thus achieved: the inner-loop feedback is allowed to use velocity estimates instead of the real values and the outer-loop feedback becomes fully nonlinear while taking into account the parallel characteristics of mechanisms. Moreover, both the observer and the controller design conditions are linear matrix inequalities, which can be efficiently solved via commercially available software. Illustrative examples are provided that show the advantages of the proposal against former works on the subject. Journal: International Journal of Systems Science Pages: 2149-2164 Issue: 10 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2043482 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2043482 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:10:p:2149-2164 Template-Type: ReDIF-Article 1.0 Author-Name: Yanxin Zhang Author-X-Name-First: Yanxin Author-X-Name-Last: Zhang Author-Name: Juan Chen Author-X-Name-First: Juan Author-X-Name-Last: Chen Author-Name: Bo Zhuang Author-X-Name-First: Bo Author-X-Name-Last: Zhuang Title: Observer design for time fractional reaction–diffusion systems with spatially varying coefficients and weighted spatial averages measurement Abstract: In this paper, we consider an observer design problem of a time fractional reaction–diffusion system with space-dependent coefficients and measurement of weighted spatial averages. Different from the boundary measurement, here, the output is a weighted spatial average of the state over the entire spatial domain. In order to apply the backstepping approach to obtain the observer gains, we first use a conversion of weighting functions to transform the error system into an intermediate system. With a change of variable, this intermediate system is then converted into the final target system with boundary measurement where backstepping is easily applicable. The resultant observer realises Mittag-Leffler convergence of the error system. Finally, numerical simulations are provided to check the effectiveness of the proposed observer. Journal: International Journal of Systems Science Pages: 2121-2135 Issue: 10 Volume: 53 Year: 2022 Month: 07 X-DOI: 10.1080/00207721.2022.2040640 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2040640 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:10:p:2121-2135 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2053232_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220804T044749 git hash: 24b08f8188 Author-Name: Haoyang Yu Author-X-Name-First: Haoyang Author-X-Name-Last: Yu Author-Name: Jun Hu Author-X-Name-First: Jun Author-X-Name-Last: Hu Author-Name: Baoye Song Author-X-Name-First: Baoye Author-X-Name-Last: Song Author-Name: Hongjian Liu Author-X-Name-First: Hongjian Author-X-Name-Last: Liu Author-Name: Xiaojian Yi Author-X-Name-First: Xiaojian Author-X-Name-Last: Yi Title: Resilient energy-to-peak filtering for linear parameter-varying systems under random access protocol Abstract: In this paper, we consider the energy-to-peak filtering issue for a class of linear parameter-varying (LPV) systems with time delays subject to certain communication regulation under which only one sensor is allowed to transmit its measurement data at each transmission instant. The data communication is regulated by the random access protocol (RAP) for the purpose of avoiding data collisions. The main purpose of this paper is to design an LPV filter such that the resultant filtering error system is asymptotically stable and also satisfies the prescribed $ l_2 $ l2- $ l_\infty $ l∞ performance in the mean square. Taking into account both the LPV nature and the possible gain perturbations, a parameter-dependent resilient filter is constructed according to the plant dynamics and scheduling behaviour of the RAP. The desired filter gain matrices are obtained by solving a set of linear matrix inequalities. Finally, a simulation example is given to validate the effectiveness and correctness of the filter design scheme. Journal: International Journal of Systems Science Pages: 2421-2436 Issue: 11 Volume: 53 Year: 2022 Month: 08 X-DOI: 10.1080/00207721.2022.2053232 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2053232 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:11:p:2421-2436 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2053891_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220804T044749 git hash: 24b08f8188 Author-Name: Wen Bai Author-X-Name-First: Wen Author-X-Name-Last: Bai Author-Name: Peter Xiaoping Liu Author-X-Name-First: Peter Author-X-Name-Last: Xiaoping Liu Author-Name: Huanqing Wang Author-X-Name-First: Huanqing Author-X-Name-Last: Wang Author-Name: Ming Chen Author-X-Name-First: Ming Author-X-Name-Last: Chen Title: Adaptive finite-time control for nonlinear multi-agent high-order systems with actuator faults Abstract: This paper addresses the adaptive finite-time tracking control problem for a class of multi-agent high-order systems with actuator faults. By adding a power integrator and taking advantage of the approximation capabilities of radial basis function in neural networks, an adaptive backstepping controller is developed to overcome difficulties associated with the positive odd integer terms of nonlinear multi-agent high-order systems. Moreover, fault-tolerant control is used to tackle the impact of actuator failures. The developed adaptive finite-time control scheme ensures that the outputs of all followers track synchronously the reference signal quickly in finite time, and all signals of the controlled system are semi-globally uniformly finite-time stable. Simulation results demonstrate the feasibility of the proposed scheme. Journal: International Journal of Systems Science Pages: 2437-2460 Issue: 11 Volume: 53 Year: 2022 Month: 08 X-DOI: 10.1080/00207721.2022.2053891 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2053891 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:11:p:2437-2460 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2050436_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220804T044749 git hash: 24b08f8188 Author-Name: Ding-Xue Zhang Author-X-Name-First: Ding-Xue Author-X-Name-Last: Zhang Author-Name: Jiayuan Yan Author-X-Name-First: Jiayuan Author-X-Name-Last: Yan Author-Name: Bin Hu Author-X-Name-First: Bin Author-X-Name-Last: Hu Author-Name: Zhi-Hong Guan Author-X-Name-First: Zhi-Hong Author-X-Name-Last: Guan Author-Name: Ding-Fu Zheng Author-X-Name-First: Ding-Fu Author-X-Name-Last: Zheng Title: Controllability on a class of switched time-varying systems with impulses and multiple time delays Abstract: The problem of complete controllability is addressed for a class of switched time-varying impulsive systems under multiple input delays. Several controllability criteria are obtained with the aid of algebraic and geometric tools. Firstly, the explicit expression of solution on every impulsive interval for such systems is derived by mathematical induction and variation of parameters. Then, complete controllability is investigated for the underlying system based on the solution established. Specifically, the new necessary or/and sufficient algebraic controllability conditions are obtained without assuming that all impulse-dependent matrices are non-singular. In addition, the geometric criteria with regard to the constant matrices are further discussed when the considered system reduces to a time-invariant case. Finally, numerical examples are worked out to demonstrate the controllability tests derived in this paper. It is shown that the existence of the delayed term will potentially affect the controllability of the studied system. In contrast to the existing literatures, the criteria derived in this paper removing some constrained assumptions have less conservatism and can be used to verify the controllability of a more general linear hybrid system. Journal: International Journal of Systems Science Pages: 2261-2280 Issue: 11 Volume: 53 Year: 2022 Month: 08 X-DOI: 10.1080/00207721.2022.2050436 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2050436 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:11:p:2261-2280 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2051094_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220804T044749 git hash: 24b08f8188 Author-Name: Qitian Yin Author-X-Name-First: Qitian Author-X-Name-Last: Yin Author-Name: Yixin Bian Author-X-Name-First: Yixin Author-X-Name-Last: Bian Author-Name: Jun Du Author-X-Name-First: Jun Author-X-Name-Last: Du Author-Name: Wei Zhao Author-X-Name-First: Wei Author-X-Name-Last: Zhao Author-Name: Shengbin Yang Author-X-Name-First: Shengbin Author-X-Name-Last: Yang Title: Dual backstepping variable structure switching control of bounded uncertain nonlinear system Abstract: This paper proposes a dual backstepping variable structure switching control strategy to realise the stable reference signal tracking of bounded uncertain nonlinear system. Compared with the conventional backstepping control scheme, the proposed approach contains double distinct backstepping recursive sequences instead of the single sequence. According to the saturation switching condition, the first backstepping sub-controller is applicable to the saturation switching phase to ensure stability in a large region. The second backstepping sub-controller is applicable to the linear transient phase to shrink the convergence domain further for improving the control performance. The proposed control mechanism consists of double distinct backstepping sub-controllers which are regulated and tuned based on variable structure switching logic. The most significant advantage is that the switching controllers expand the traditional single backstepping variable structure control to double backstepping. This method not only guarantees the tracking error global uniform convergence but also improves the tracking control performance. In addition, this method absorbs both the advantages of backstepping and variable structure to protect the beneficial nonlinear properties in states and suppress the chatting. To evaluate the control performance and tracking effectiveness of the proposed control mechanism, a numerical comparing example is presented and discussed. Journal: International Journal of Systems Science Pages: 2341-2357 Issue: 11 Volume: 53 Year: 2022 Month: 08 X-DOI: 10.1080/00207721.2022.2051094 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2051094 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:11:p:2341-2357 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2053231_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220804T044749 git hash: 24b08f8188 Author-Name: Miao Tong Author-X-Name-First: Miao Author-X-Name-Last: Tong Author-Name: Huanqing Wang Author-X-Name-First: Huanqing Author-X-Name-Last: Wang Title: Observer-based adaptive fuzzy finite-time tracking control of switched nonlinear systems Abstract: In this article, we investigate the finite-time output feedback control issue for switched nonlinear systems. In the design procedure, fuzzy logic systems are used for identifying the unknown functions in switched nonlinear systems. A common state observer is constructed such that the unmeasured states can be measured. Based on the framework of the backstepping algorithm, an observer-based finite-time adaptive tracking control strategy is proposed via the common Lyapunov function approach. The stability analysis process confirms in detail that all the closed-loop signals are bounded under arbitrary switchings and the tracking error can converge to a small neighbourhood of the origin after a finite period of time. In order to verify the feasibility of the proposed control scheme, a numerical simulation example is shown in this paper. Journal: International Journal of Systems Science Pages: 2407-2420 Issue: 11 Volume: 53 Year: 2022 Month: 08 X-DOI: 10.1080/00207721.2022.2053231 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2053231 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:11:p:2407-2420 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2051768_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220804T044749 git hash: 24b08f8188 Author-Name: Xiao Li Author-X-Name-First: Xiao Author-X-Name-Last: Li Author-Name: Yuan-Xin Li Author-X-Name-First: Yuan-Xin Author-X-Name-Last: Li Title: Event-based fuzzy adaptive decentralised asymptotic tracking control for large-scale fractional-order nonlinear systems with strong interconnections Abstract: An adaptive fuzzy event-triggered asymptotic tracking control scheme is investigated for large-scale fractional-order nonlinear systems with unknown strong interconnections in this article. First, intelligent estimation technologies are employed to deal with interconnection terms and unknown nonlinear functions, which can largely relax some additional assumptions regarding the interconnections and eliminate the impacts of uncertainties. Second, by introducing dynamic surface control technology, the problem of ‘explosion of complexity’ is solved. Moreover, a novel event-triggered mechanism is proposed to save communication resources. The system stability and the asymptotic tracking performance are proved by utilising fractional Lyapunov function theory. Finally, a simulation example verifies the effectiveness of the proposed control method. Journal: International Journal of Systems Science Pages: 2358-2373 Issue: 11 Volume: 53 Year: 2022 Month: 08 X-DOI: 10.1080/00207721.2022.2051768 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2051768 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:11:p:2358-2373 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2053230_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220804T044749 git hash: 24b08f8188 Author-Name: Luyang Yu Author-X-Name-First: Luyang Author-X-Name-Last: Yu Author-Name: Ying Cui Author-X-Name-First: Ying Author-X-Name-Last: Cui Author-Name: Yurong Liu Author-X-Name-First: Yurong Author-X-Name-Last: Liu Author-Name: Naif D. Alotaibi Author-X-Name-First: Naif D. Author-X-Name-Last: Alotaibi Author-Name: Fawaz E. Alsaadi Author-X-Name-First: Fawaz E. Author-X-Name-Last: Alsaadi Title: Sampled-based consensus of multi-agent systems with bounded distributed time-delays and dynamic quantisation effects Abstract: In this paper, we are concerned with the sampled-based consensus problem of multi-agent systems with bounded distributed time-delays and quantisation effects. A dynamic quantisation scheme is introduced to save the constrained communication resources, where some adjustable parameters are introduced to exclude the phenomena of quantiser saturation. In addition, to reduce the actuation burden of controller and quantiser cost, a sampled-data control strategy is employed to investigate the consensus problem. Several sufficient criteria are derived to achieve consensus of multi-agent systems based on the matrix theory and Lyapunov control techniques. Finally, two numerical examples are provided to demonstrate the effectiveness of the derived results. Journal: International Journal of Systems Science Pages: 2390-2406 Issue: 11 Volume: 53 Year: 2022 Month: 08 X-DOI: 10.1080/00207721.2022.2053230 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2053230 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:11:p:2390-2406 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2053229_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220804T044749 git hash: 24b08f8188 Author-Name: Hooshang Jafari Author-X-Name-First: Hooshang Author-X-Name-Last: Jafari Author-Name: Amin Ramezani Author-X-Name-First: Amin Author-X-Name-Last: Ramezani Author-Name: Mehdi Forouzanfar Author-X-Name-First: Mehdi Author-X-Name-Last: Forouzanfar Title: Parameter-dependent Lyapunov function based fault estimation and fault-tolerant control for LPV systems Abstract: In this paper, an integrated fault estimation (FE) and fault-tolerant control (FTC) method is proposed for linear parameter varying (LPV) systems using the parameter-dependent Lyapunov function. The observer-based estimation and fault-tolerant control structure causes an uncertainty between systems which is called the bi-directional uncertainty. Additionally, with simultaneous actuator and sensor faults, disturbances, the overall performance of the FTC system decreases. To maintain robust stability of closed-loop systems, an unknown input observer fault estimator approach with both state feedback control and sliding mode control is implemented as a solution by solving $ H_\infty $ H∞ optimisation using a linear matrix inequality (LMI) formulation. The efficiency of the integrated FE/FTC design is demonstrated using the pitch-axis missile LPV model and simulated to evaluate the merits of the suggested approach. Journal: International Journal of Systems Science Pages: 2374-2389 Issue: 11 Volume: 53 Year: 2022 Month: 08 X-DOI: 10.1080/00207721.2022.2053229 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2053229 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:11:p:2374-2389 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2051093_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220804T044749 git hash: 24b08f8188 Author-Name: Shaobin Rao Author-X-Name-First: Shaobin Author-X-Name-Last: Rao Author-Name: Tianwei Zhang Author-X-Name-First: Tianwei Author-X-Name-Last: Zhang Author-Name: Lijun Xu Author-X-Name-First: Lijun Author-X-Name-Last: Xu Title: Exponential stability and synchronisation of fuzzy Mittag–Leffler discrete-time Cohen–Grossberg neural networks with time delays Abstract: Exponential Euler differences for semi-linear differential equations of first order have got rapid development in the past few years and a variety of exponential Euler difference methods have become very significant researching topics. Therefore, exponential Euler differences for fractional-order differential models are novel and significant. In allusion to fuzzy Cohen–Grossberg neural networks of fractional order, this paper establishes a Mittag–Leffler Euler difference model on the basis of the constant variation formula in fractional calculus. In the second place, the existence of a unique global bounded solution and equilibrium point is studied by using the contractive mapping principle. Thirdly, global exponential stability and synchronisation of the derived difference models are investigated by employing some inequality techniques and reductio. At last, some illustrative examples and numerical simulations are employed to demonstrate the main results of this paper. Journal: International Journal of Systems Science Pages: 2318-2340 Issue: 11 Volume: 53 Year: 2022 Month: 08 X-DOI: 10.1080/00207721.2022.2051093 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2051093 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:11:p:2318-2340 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2050437_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220804T044749 git hash: 24b08f8188 Author-Name: Zhen Yang Author-X-Name-First: Zhen Author-X-Name-Last: Yang Author-Name: Zhengqiu Zhang Author-X-Name-First: Zhengqiu Author-X-Name-Last: Zhang Title: Global asymptotic synchronisation of fuzzy inertial neural networks with time-varying delays by applying maximum-value approach Abstract: In the paper, we are concerned about the global asymptotic synchronisation for a class of fuzzy master–slave inertial neural networks with time-varying delays. At present, most of the research on the global asymptotic synchronisation of fuzzy master–slave inertial neural networks with time-varying delays adopt the matrix measure method, linear matrix inequality approach and integral inequality method. While in our paper, we attain three criteria to assure the global asymptotic synchronisation between the master system and the slave system by designing three classes of different novel controllers via the maximum-value analysis approach. The controllers designed and the maximum-value method used in this paper are completely novel compared with these in the existing literatures, which enrich and extend the published results. Journal: International Journal of Systems Science Pages: 2281-2300 Issue: 11 Volume: 53 Year: 2022 Month: 08 X-DOI: 10.1080/00207721.2022.2050437 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2050437 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:11:p:2281-2300 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2053892_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220804T044749 git hash: 24b08f8188 Author-Name: Weidi Cheng Author-X-Name-First: Weidi Author-X-Name-Last: Cheng Author-Name: Hongjing Liang Author-X-Name-First: Hongjing Author-X-Name-Last: Liang Author-Name: Shenglin Hu Author-X-Name-First: Shenglin Author-X-Name-Last: Hu Title: Event-triggered neural adaptive anti-disturbance control of nonlinear multi-agent systems with asymmetric constraints Abstract: The event-triggered adaptive control problem of stochastic nonlinear multi-agent systems subject to stochastic faults and asymmetric output constraints is investigated in this paper. Radial basis function neural networks (RBFNNs) are employed to adaptively approximate the unknown nonlinearities and changes in system dynamics model due to stochastic failures. By utilising a one-to-one nonlinear mapping, the asymmetric output constraints stochastic system is converted into a system without any constraints. Furthermore, to save the communication resources between controller and actuator, an improved dynamic event-triggered mechanism is developed, which contains threshold parameters and an exponential convergence term. Then, based on the stochastic Lyapunov function method, an event-triggered adaptive fault-tolerant controller is proposed for the considered systems. It is shown that the developed adaptive fault-tolerant controller can guarantee that all the signals remain semi-globally uniformly ultimately bounded while the output constraint is satisfied, even if the system is affected by stochastic failures. Eventually, the example results are provided to illustrate the effectiveness of the proposed control methodology. Journal: International Journal of Systems Science Pages: 2461-2476 Issue: 11 Volume: 53 Year: 2022 Month: 08 X-DOI: 10.1080/00207721.2022.2053892 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2053892 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:11:p:2461-2476 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2050959_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220804T044749 git hash: 24b08f8188 Author-Name: H. M. Güzey Author-X-Name-First: H. M. Author-X-Name-Last: Güzey Author-Name: N. Güzey Author-X-Name-First: N. Author-X-Name-Last: Güzey Title: Adaptive hybrid formation-search and track controller of UAVs Abstract: In this paper, a novel search and track scheme is developed through adaptive hybrid formation- search and track controller of networked unmanned aerial vehicles (UAVs). The search and the track algorithm is carried out with antennas placed on at least four UAVs that kept the ‘+’ formation on the x-y plane. The x-axis is assumed to lie in the east–west direction and the y-axis in the north–south direction. UAVs flying in the ‘+’ formation are divided into 4 main groups: east, west, north, and south. UAVs on the x-axis are driven from the difference in signal strengths of the east group and the west group, and on the y-axis from the difference in signal strengths of the north and south groups respectively. The hybrid controller consists of two discrete modes: (1) formation mode (2) search and track mode. The back-stepping formation controller is derived through Lyapunov stability criteria to make the UAVs fly in ‘+’shape and at a fixed altitude. Then, received signal power consensus-based search and track controller is developed for networked UAV groups flying in a desired ‘+’ formation. Simulation results verify our theoretical claims. Journal: International Journal of Systems Science Pages: 2301-2317 Issue: 11 Volume: 53 Year: 2022 Month: 08 X-DOI: 10.1080/00207721.2022.2050959 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2050959 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:11:p:2301-2317 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2008043_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Fang Liu Author-X-Name-First: Fang Author-X-Name-Last: Liu Author-Name: Qianyi Liu Author-X-Name-First: Qianyi Author-X-Name-Last: Liu Author-Name: Weiru Guo Author-X-Name-First: Weiru Author-X-Name-Last: Guo Author-Name: Yong Li Author-X-Name-First: Yong Author-X-Name-Last: Li Title: Stochastic stability analysis of Markovian jump systems with additive mode-dependent time-varying delays and partially known transition rates Abstract: This paper focuses on the stochastic stability of the Markovian jump systems with two additive mode-dependent time-varying delays and partially known transition rates. First, a novel mode-dependent Lyapunov-Krasovskii functional (LKF) is constructed and the single integral terms in the derivative of LKF are estimated by the generalised free-weighting-matrix-based integral inequality. Then, some stability criteria in terms of linear matrix inequalities are obtained by using the convex combination technique. Finally, two numerical examples are presented to illustrate the feasibility of the proposed method. Journal: International Journal of Systems Science Pages: 2612-2623 Issue: 12 Volume: 53 Year: 2022 Month: 09 X-DOI: 10.1080/00207721.2021.2008043 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2008043 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:12:p:2612-2623 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2067910_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Shuailei Zhang Author-X-Name-First: Shuailei Author-X-Name-Last: Zhang Author-Name: Xinge Liu Author-X-Name-First: Xinge Author-X-Name-Last: Liu Author-Name: Xuemei Li Author-X-Name-First: Xuemei Author-X-Name-Last: Li Title: Finite-time synchronisation of delayed fractional-order coupled neural networks Abstract: This paper considers the global synchronisation and finite-time synchronisation for a class of delayed fractional-order complex neural networks (DFOCNNs). Based on the properties of fractional-order calculus and the Razumikhin-type Lyapunov theorem of a fractional-order system, two new lemmas are proved. These lemmas are employed to formulate a couple of novel criteria for both finite-time synchronisation and global synchronisation of DFOCNNs. Moreover, the upper bound of the setting time for synchronisation is given. Three examples are provided to verify the effectiveness of the obtained results. Journal: International Journal of Systems Science Pages: 2597-2611 Issue: 12 Volume: 53 Year: 2022 Month: 09 X-DOI: 10.1080/00207721.2022.2067910 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2067910 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:12:p:2597-2611 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2006356_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Xian-Ming Zhang Author-X-Name-First: Xian-Ming Author-X-Name-Last: Zhang Author-Name: Qing-Long Han Author-X-Name-First: Qing-Long Author-X-Name-Last: Han Author-Name: Xiaohua Ge Author-X-Name-First: Xiaohua Author-X-Name-Last: Ge Title: The construction of augmented Lyapunov-Krasovskii functionals and the estimation of their derivatives in stability analysis of time-delay systems: a survey Abstract: The Bessel-Legendre inequality plays an important role in stability analysis of linear systems with time-varying delays. However, various integral vectors inherited from the Bessel-Legendre inequality bring some challenging issues, such as the construction of suitable augmented Lyapunov-Krasovskii functionals (LKFs); high-degree polynomial estimation on the derivative of the chosen LKF. This paper offers an overview of recent developments on these issues. First, an instructive review on the construction of suitable augmented LKFs catering for the use of the Bessel-Legendre inequality is given in detail. Second, an in-depth analysis and insightful understanding of high-degree polynomial inequalities on closed intervals are made. Third, recent results on reciprocally convex combination inequalities are briefly discussed. Finally, several challenging problems are presented for future research. Journal: International Journal of Systems Science Pages: 2480-2495 Issue: 12 Volume: 53 Year: 2022 Month: 09 X-DOI: 10.1080/00207721.2021.2006356 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2006356 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:12:p:2480-2495 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2111888_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Xian-Ming Zhang Author-X-Name-First: Xian-Ming Author-X-Name-Last: Zhang Author-Name: Qing-Long Han Author-X-Name-First: Qing-Long Author-X-Name-Last: Han Title: Time-delay systems and their applications Journal: International Journal of Systems Science Pages: 2477-2479 Issue: 12 Volume: 53 Year: 2022 Month: 09 X-DOI: 10.1080/00207721.2022.2111888 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2111888 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:12:p:2477-2479 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2056654_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Yang Deng Author-X-Name-First: Yang Author-X-Name-Last: Deng Author-Name: Vincent Léchappé Author-X-Name-First: Vincent Author-X-Name-Last: Léchappé Author-Name: Emmanuel Moulay Author-X-Name-First: Emmanuel Author-X-Name-Last: Moulay Author-Name: Zhang Chen Author-X-Name-First: Zhang Author-X-Name-Last: Chen Author-Name: Bin Liang Author-X-Name-First: Bin Author-X-Name-Last: Liang Author-Name: Franck Plestan Author-X-Name-First: Franck Author-X-Name-Last: Plestan Author-Name: Qing-Long Han Author-X-Name-First: Qing-Long Author-X-Name-Last: Han Title: Predictor-based control of time-delay systems: a survey Abstract: With the developments of wireless data communication and network technology, time-delays are widely found in nowadays' control systems, e.g. networked control systems, mobile robot systems, and multi-agent systems. Predictor-based control is an effective method dealing with long time-delays because it can generally lead to a delay-free closed-loop system by introducing a prediction for future states. Recently, various predictor-based control methods have been developed for numerous control systems subject to different time-delays, which motivates this survey. This paper presents a comprehensive review of the up-to-date results on the predictor-based control of time-delay systems. Firstly, the ordinary differential equation-based approaches for designing and analysing predictor-based controllers are summarised. Secondly, one reports an alternative method of predictor-based control, in which the systems/controllers are understood in the sense of partial differential equations. Next, several integration-free predictor-based controllers are introduced: by abandoning the infinite-dimensional integral terms, the control laws become easier to realise in practice. Hereafter, the paper discusses the real-time implementations and the practical applications of predictor-based control methods to several particular control systems. Finally, this paper suggests some new trends of predictor-based control for future research. Journal: International Journal of Systems Science Pages: 2496-2534 Issue: 12 Volume: 53 Year: 2022 Month: 09 X-DOI: 10.1080/00207721.2022.2056654 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2056654 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:12:p:2496-2534 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2037782_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Xiao-Jie Peng Author-X-Name-First: Xiao-Jie Author-X-Name-Last: Peng Author-Name: Yong He Author-X-Name-First: Yong Author-X-Name-Last: He Title: Consensus of multi-agent systems with state and input delays via non-fragile protocol Abstract: This paper studies the non-fragile consensus problem of nonlinear multi-agent systems (MASs) with state and input time-varying delays. The main purpose of this paper is to provide new approaches for the non-fragile consensus research of MASs with time-varying delay. To achieve this goal, a quadratic polynomial Lyapunov–Krasovskii functional is constructed and the generalised free-matrix-based integral inequality is employed. In addition, the quadratic function negative-determination method is applied to the consensus analysis of MASs with controller gain fluctuation. Finally, two novel consensus criteria are established. A simulation example is given to examine the effectiveness and superiority of the obtained criteria. Journal: International Journal of Systems Science Pages: 2584-2596 Issue: 12 Volume: 53 Year: 2022 Month: 09 X-DOI: 10.1080/00207721.2022.2037782 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2037782 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:12:p:2584-2596 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2063966_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Yan-Dong Zhao Author-X-Name-First: Yan-Dong Author-X-Name-Last: Zhao Author-Name: Yue-Ting Sun Author-X-Name-First: Yue-Ting Author-X-Name-Last: Sun Author-Name: Bao-Lin Zhang Author-X-Name-First: Bao-Lin Author-X-Name-Last: Zhang Author-Name: Dawei Zhang Author-X-Name-First: Dawei Author-X-Name-Last: Zhang Title: Delay-feedback-based recoil control for deepwater drilling riser systems Abstract: This paper deals with the dynamic modelling and pure delayed $ H_{\infty } $ H∞ control for a deepwater drilling riser system in the presence of the friction force of seawater and drilling discharge mud. First, by simplifying a drilling riser system as a spring-mass-damping unit with three degrees of freedom, an increment equation of the riser system subject to friction force of seawater and drilling discharge mud is established. Then, by artificially introducing a time-varying delay with given lower and upper bounds into the control channel, a pure delayed $ H_\infty $ H∞ control scheme is presented to restrain the recoil responses of the riser system. Based on the Lyapunov–Krasovskii functional approach, several new sufficient conditions are derived to design the pure delayed $ H_\infty $ H∞ controller. Finally, comparative simulation results are given to show the effectiveness and merits of the proposed control scheme. It is demonstrated that to mitigate recoil response of the deepwater riser in the event of emergency disconnection, the proposed pure delayed $ H_{\infty } $ H∞ controllers are more economic than the delay-free $ H_\infty $ H∞ controller. Journal: International Journal of Systems Science Pages: 2535-2548 Issue: 12 Volume: 53 Year: 2022 Month: 09 X-DOI: 10.1080/00207721.2022.2063966 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2063966 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:12:p:2535-2548 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2053893_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Jiancun Wu Author-X-Name-First: Jiancun Author-X-Name-Last: Wu Author-Name: Chen Peng Author-X-Name-First: Chen Author-X-Name-Last: Peng Author-Name: Hongchenyu Yang Author-X-Name-First: Hongchenyu Author-X-Name-Last: Yang Author-Name: Yu-Long Wang Author-X-Name-First: Yu-Long Author-X-Name-Last: Wang Title: Recent advances in event-triggered security control of networked systems: a survey Abstract: Security control of networked control systems (NCSs) under vulnerable communication environments has become an important topic both in theory and in practice. Due to malicious attacks, some control issues like event-triggered control are difficult to be addressed since digital signals may be modified by hackers when transmitted through the communication networks. This paper aims to provide a survey of recent advances in event-triggered security control for NCSs under malicious attacks. First, several typical models on cyber-attacks from the communication layer are elaborated. Second, a number of secure control results reported in the literature are reviewed and in-depth analysis is made on several improved event-triggered strategies resilient to cyber-attacks, including the hybrid-triggered strategy, the adaptive event-triggered strategy, the dynamic event-triggered strategy, the memory-based event-triggered strategy, the switching-like event-triggered strategy, and the stochastic event-triggered strategy. Third, under randomly occurring denial-of-service attacks, an application of part event-triggered secure resilient control to power systems with a load frequency control scheme coordinated electric vehicles is analysed. Finally, several challenging issues on event-triggered control based on cyber-attacks are presented to direct the future research in the field. Journal: International Journal of Systems Science Pages: 2624-2643 Issue: 12 Volume: 53 Year: 2022 Month: 09 X-DOI: 10.1080/00207721.2022.2053893 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2053893 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:12:p:2624-2643 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2058109_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Ankit Kumar Author-X-Name-First: Ankit Author-X-Name-Last: Kumar Author-Name: Subir Das Author-X-Name-First: Subir Author-X-Name-Last: Das Author-Name: Sapna Baluni Author-X-Name-First: Sapna Author-X-Name-Last: Baluni Author-Name: Vijay K. Yadav Author-X-Name-First: Vijay K. Author-X-Name-Last: Yadav Author-Name: Jianquan Lu Author-X-Name-First: Jianquan Author-X-Name-Last: Lu Title: Global quasi-synchronisation of fuzzy cellular neural networks with time varying delay and interaction terms Abstract: In this article, the global quasi-synchronisation of fuzzy cellular neural networks (FCNNs) in the presence of interaction terms and time-varying delay has been studied. The quasi-synchronisation criteria of FCNNs have been found with the help of p-norm and inequalities defined in Lemmas 2.1 and 2.2. Under the Lyapunov stability theory, the quasi-synchronisation of fuzzy-based CNNs with time-varying delay and interaction terms is attained using state-feedback controllers. A significant result for the two nonidentical FCNNs with time varying delay and interaction terms is provided. The error bounds of the global quasi-synchronisation have also been estimated. It is also seen that the global quasi-synchronisation of FCNNs is quite new. Two numerical simulation results are given to exhibit the viability and unwavering quality of the obtained results under several conditions. Journal: International Journal of Systems Science Pages: 2679-2693 Issue: 12 Volume: 53 Year: 2022 Month: 09 X-DOI: 10.1080/00207721.2022.2058109 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2058109 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:12:p:2679-2693 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2067911_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: R. Resmi Author-X-Name-First: R. Author-X-Name-Last: Resmi Author-Name: S. J. Mija Author-X-Name-First: S. J. Author-X-Name-Last: Mija Author-Name: Jeevamma Jacob Author-X-Name-First: Jeevamma Author-X-Name-Last: Jacob Title: Discrete Laguerre-based model predictive control for dynamic consensus of a vehicle platoon with time delay Abstract: Dynamic consensus of linear time-invariant multi-agent systems (MASs) using distributed model predictive control under the influence of input delay is addressed in this technical note. Model predictive control (MPC) is well suited to solve the consensus problem with its ability to handle multivariable systems and constraints. However, the increased computational complexity of MPC restricts its area of applications. An attempt to bridge this gap is made by proposing a Laguerre-based MPC design to bring down the computational load and make it viable for implementation. The effect of input delay on consensus is examined and the stability margin of a MAS with input delay is computed using the location of the closed-loop poles. A comparison of the proposed algorithm with conventional MPC establishes its superiority in convergence time, robustness to input delay and smoothness of the trajectories. The effectiveness of the proposed design is validated through the simulation of dynamic consensus on the benchmark problem of platoon configuration of vehicles.Abbreviations DLQR: discrete linear quadratic regulator; DMPC: distributed model predictive control; LMI: linear matrix inequality; LTI: linear time invariant; SISO: single-input single-output; MAS: multi-agent system; MIMO: multi-input multi-output; MPC: model predictive control Journal: International Journal of Systems Science Pages: 2566-2583 Issue: 12 Volume: 53 Year: 2022 Month: 09 X-DOI: 10.1080/00207721.2022.2067911 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2067911 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:12:p:2566-2583 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2005177_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Zifan Gao Author-X-Name-First: Zifan Author-X-Name-Last: Gao Author-Name: Tao Wu Author-X-Name-First: Tao Author-X-Name-Last: Wu Author-Name: Dawei Zhang Author-X-Name-First: Dawei Author-X-Name-Last: Zhang Author-Name: Shuqian Zhu Author-X-Name-First: Shuqian Author-X-Name-Last: Zhu Title: Network-based gain-scheduled control for preview path tracking of autonomous electric vehicles subject to communication delays Abstract: The preview path tracking problem of autonomous electric vehicles with event-triggered transmission and bounded communication delays is addressed using polytope modelling and asynchronous gain-scheduled control methods. By finding a polytope with as few vertices as possible to wrap the curve composed of all time-varying parameters, a new polytope modelling method is proposed to describe the vehicle lateral dynamics, which can not only reduce the modelling complexity greatly but also keep the modelling accuracy. Based on the polytope system model, a network-based gain-scheduled controller that operates asynchronously with the polytope system is constructed, where the scheduling parameters are driven by transmitted longitudinal velocity. By computing the deviation bounds of scheduling parameters and utilising the deviation-bound-dependent method, an asynchronous gain-scheduled control design method is presented. The feasibility and advantages of the proposed methods are shown by numerical verification. Journal: International Journal of Systems Science Pages: 2549-2565 Issue: 12 Volume: 53 Year: 2022 Month: 09 X-DOI: 10.1080/00207721.2021.2005177 File-URL: http://hdl.handle.net/10.1080/00207721.2021.2005177 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:12:p:2549-2565 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2056653_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Chaouki Aouiti Author-X-Name-First: Chaouki Author-X-Name-Last: Aouiti Author-Name: Qing Hui Author-X-Name-First: Qing Author-X-Name-Last: Hui Author-Name: Emmanuel Moulay Author-X-Name-First: Emmanuel Author-X-Name-Last: Moulay Author-Name: Farid Touati Author-X-Name-First: Farid Author-X-Name-Last: Touati Title: Global dissipativity of fuzzy genetic regulatory networks with mixed delays Abstract: The synthetic genetic regulatory networks have proven to be a powerful tool in studying gene regulation processes in living organisms. In this article, the global dissipativity and corresponding attractive set for the fuzzy genetic regulatory networks with mixed delays are investigated. By utilising the Lyapunov functional method and the linear matrix inequalities (LMIs) techniques, new sufficient conditions ensuring the global dissipativity and the global exponential dissipativity of the suggested system are given. Moreover, the global attractive set and global exponential attractive set are obtained. The derived criteria are of the form of LMI, and hence they can be verified easily by the numerical software. Lastly, two numerical examples with its simulations are given to illustrate the effectiveness of the obtained results. Journal: International Journal of Systems Science Pages: 2644-2663 Issue: 12 Volume: 53 Year: 2022 Month: 09 X-DOI: 10.1080/00207721.2022.2056653 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2056653 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:12:p:2644-2663 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2058107_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Mojtaba Ayatinia Author-X-Name-First: Mojtaba Author-X-Name-Last: Ayatinia Author-Name: Mehdi Forouzanfar Author-X-Name-First: Mehdi Author-X-Name-Last: Forouzanfar Author-Name: Amin Ramezani Author-X-Name-First: Amin Author-X-Name-Last: Ramezani Title: An LMI approach to robust iterative learning control with initial state learning Abstract: This paper presents a new robust convergence condition of iterative learning control with initial state learning (ILC-ISL) for linear multivariable discrete-time systems in the presence of iteration-varying uncertainty. This method is based on linear matrix inequality (LMI) and provides fixed learning gains during time and iteration. Since the convergence of the ILC algorithm may change due to uncertainty in the parameters of a system, and the ILC algorithm is incapable of dealing with iteration-related challenges, it is a major challenge to reject the effect of iteration varying uncertainty. Besides, in the basic ILC algorithm, the initial state is constant in each iteration and consequently always leads to a tracking error. In this paper, first, a convergence condition of the ILC-ISL algorithm is designed based on closed-loop system stability in the iteration domain, and second, a new robust convergence condition is achieved by the LMI approach. Finally, the effectiveness of the proposed robust convergence scheme is evaluated through a numerical example and a mechanical system, respectively. Journal: International Journal of Systems Science Pages: 2664-2678 Issue: 12 Volume: 53 Year: 2022 Month: 09 X-DOI: 10.1080/00207721.2022.2058107 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2058107 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:12:p:2664-2678 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2058640_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: M. H. Heydari Author-X-Name-First: M. H. Author-X-Name-Last: Heydari Author-Name: R. Tavakoli Author-X-Name-First: R. Author-X-Name-Last: Tavakoli Author-Name: M. Razzaghi Author-X-Name-First: M. Author-X-Name-Last: Razzaghi Title: Application of the extended Chebyshev cardinal wavelets in solving fractional optimal control problems with ABC fractional derivative Abstract: In this study, two categories of fractional optimal control problems are investigated. One category is optimal control problems, which includes a fractional dynamic system, and the other category, in addition to the fractional dynamics system, includes inequality constraints. The Atangana–Baleanu fractional derivative in the Caputo sense is used to define these problems. The extended Chebyshev cardinal wavelets as an appropriate class of basis functions are introduced to construct two numerical methods for these problems. To solve these problems, at first, an operational matrix for the Atangana–Baleanu fractional integral of these wavelets is derived. Then, by approximating the fractional derivative of the state variables and control variables in terms of the extended Chebyshev cardinal wavelets, and employing the fractional integral operational matrix of these wavelets and the Lagrange multipliers method, the problems under consideration are converted into systems of algebraic equations, which can be easily solved. To examine the accuracy of the established methods, some numerical examples are solved. Journal: International Journal of Systems Science Pages: 2694-2708 Issue: 12 Volume: 53 Year: 2022 Month: 09 X-DOI: 10.1080/00207721.2022.2058640 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2058640 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:12:p:2694-2708 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2049918_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Meiyu Li Author-X-Name-First: Meiyu Author-X-Name-Last: Li Author-Name: Jinling Liang Author-X-Name-First: Jinling Author-X-Name-Last: Liang Author-Name: Fan Wang Author-X-Name-First: Fan Author-X-Name-Last: Wang Title: Robust set-membership filtering for two-dimensional systems with sensor saturation under the Round-Robin protocol Abstract: In this paper, the set-membership filtering problem is investigated for a class of polytopic uncertain two-dimensional shift-varying systems with delays and sensor saturation. The measurement information is transmitted between the sensors and the filter through a shared communication network. To avoid data congestions, the Round-Robin (R-R) protocol is employed to regulate the data transmission order. This paper aims to design a robust set-membership filter such that the real system states are always contained in the state estimate ellipsoid in the presence of the state delays, the sensor saturation, the parameter uncertainties, the R-R protocol and the unknown-but-bounded external perturbations. By using the mathematical induction, sufficient condition for the existence of the desired robust set-membership filter is given in the form of recursive linear matrix inequalities, and a convex optimisation method is also proposed to determine the optimal state estimation ellipsoid in the trace sense. One numerical example is also given to illustrate effectiveness of the proposed filtering strategy. Journal: International Journal of Systems Science Pages: 2773-2785 Issue: 13 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2049918 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2049918 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:13:p:2773-2785 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2062802_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Zhibin Hu Author-X-Name-First: Zhibin Author-X-Name-Last: Hu Author-Name: Jun Hu Author-X-Name-First: Jun Author-X-Name-Last: Hu Author-Name: Hailong Tan Author-X-Name-First: Hailong Author-X-Name-Last: Tan Author-Name: Jinpeng Huang Author-X-Name-First: Jinpeng Author-X-Name-Last: Huang Author-Name: Zhipeng Cao Author-X-Name-First: Zhipeng Author-X-Name-Last: Cao Title: Distributed resilient fusion filtering for nonlinear systems with random sensor delay under round-robin protocol Abstract: In this paper, we address the distributed resilient fusion filtering (DRFF) problem for a class of nonlinear multi-sensor networked systems (MSNSs) with random sensor delay (RSD) under round-robin protocol (RRP). The RSD is depicted by the Bernoulli random variable with known occurrence probability. In order to relieve the network congestion, the RRP that can deal with information overload issue of the transmission process from sensor to the estimator is utilised. The major objective of this paper is that the resilient fusion filter is designed for nonlinear MSNSs with RSD and RRP in the light of the inverse covariance intersection approach, where the local upper bound regarding the filtering error covariance is obtained and then minimised by suitably exploiting the local filter gain. Finally, a simulation example that can show the validity of the provided DRFF algorithm is presented. Journal: International Journal of Systems Science Pages: 2786-2799 Issue: 13 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2062802 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2062802 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:13:p:2786-2799 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2055192_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Juanjuan Yang Author-X-Name-First: Juanjuan Author-X-Name-Last: Yang Author-Name: Lifeng Ma Author-X-Name-First: Lifeng Author-X-Name-Last: Ma Author-Name: Yonggang Chen Author-X-Name-First: Yonggang Author-X-Name-Last: Chen Author-Name: Xiaojian Yi Author-X-Name-First: Xiaojian Author-X-Name-Last: Yi Title: L2-L∞ state estimation for continuous stochastic delayed neural networks via memory event-triggering strategy Abstract: In this paper, we study the memory event-triggering $ L_2 $ L2- $ L_\infty $ L∞ state estimation for a type of continuous stochastic neural networks (NNs) subject to time-varying delays. The information of some recent released packets is made use in the proposed triggering conditions to schedule the data propagation, thereby reducing communication frequency and saving energy. By taking into account network-induced complexities (i.e. transmission delays and random disturbances), we first formulate the evolutions of estimation error in an augmented form, and then propose the conditions under with the design goals could be met. By using certain novel Lyapunov–Krasovskii (L–K) functionals in combination with stochastic analysis technique, sufficient conditions have been provided for the existence of desired estimator, guaranteeing both the globally asymptotically mean-square stability and the prescribed $ L_2 $ L2- $ L_\infty $ L∞ performance simultaneously. Moreover, the estimator gains are obtained by virtue of certain convex optimisation algorithms. Finally, we use an illustrative example to verify the obtained theoretical algorithm. Journal: International Journal of Systems Science Pages: 2742-2757 Issue: 13 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2055192 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2055192 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:13:p:2742-2757 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2063968_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Fan Yang Author-X-Name-First: Fan Author-X-Name-Last: Yang Author-Name: Jiahui Li Author-X-Name-First: Jiahui Author-X-Name-Last: Li Author-Name: Hongli Dong Author-X-Name-First: Hongli Author-X-Name-Last: Dong Author-Name: Yuxuan Shen Author-X-Name-First: Yuxuan Author-X-Name-Last: Shen Title: Proportional–integral-type estimator design for delayed recurrent neural networks under encoding–decoding mechanism Abstract: In this paper, the proportional–integral-type estimator design problem is studied for recurrent neural networks under the encoding–decoding communication mechanism. In the process of the measurement data transmission, an encoding–decoding mechanism is introduced to improve the security of the network by encrypting the measurement data. The purpose of this paper is to design a proportional–integral-type estimation algorithm such that the estimation error dynamics is exponentially ultimately bounded in mean square. First, a sufficient condition is obtained for the existence of the desired estimator. Then, the parameters of the estimator are obtained by solving certain matrix inequality. Finally, a simulation example is given to verify the effectiveness of the designed estimation algorithm. Journal: International Journal of Systems Science Pages: 2729-2741 Issue: 13 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2063968 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2063968 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:13:p:2729-2741 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2111891_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Bo Shen Author-X-Name-First: Bo Author-X-Name-Last: Shen Author-Name: Derui Ding Author-X-Name-First: Derui Author-X-Name-Last: Ding Author-Name: Qinyuan Liu Author-X-Name-First: Qinyuan Author-X-Name-Last: Liu Title: Special issue on performance analysis and synthesis of networked systems under coding-decoding communication mechanisms Journal: International Journal of Systems Science Pages: 2709-2710 Issue: 13 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2111891 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2111891 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:13:p:2709-2710 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2083257_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Jinghui Suo Author-X-Name-First: Jinghui Author-X-Name-Last: Suo Author-Name: Nan Li Author-X-Name-First: Nan Author-X-Name-Last: Li Title: Observer-based synchronisation control for discrete-time delayed switched complex networks with coding–decoding approach Abstract: In this paper, we investigate the synchronisation control problem for a class of discrete-time switched complex networks with time-varying delays via a coding–decoding-based approach. An observer-based control scheme is proposed for each node by utilising the outputs of complex networks. The data are transmitted in a digital manner and only the sequence of finite coded signals is sent from the observer to the controller. We design a proper coding–decoding procedure for each node to ensure that the closed-loop networks achieve the expected synchronisation performance. By applying the average dwell-time switching strategy and a uniform quantisation approach, some criteria are firstly presented to ensure the detectability of the complex networks. Then sufficient conditions are provided for the existence of desired observer-based controller, guaranteeing the synchronisation of complex networks. Finally, a numerical example is given to illustrate the effectiveness of the obtained theoretical results. Journal: International Journal of Systems Science Pages: 2711-2728 Issue: 13 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2083257 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2083257 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:13:p:2711-2728 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2056772_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Chen Gao Author-X-Name-First: Chen Author-X-Name-Last: Gao Author-Name: Xiao He Author-X-Name-First: Xiao Author-X-Name-Last: He Author-Name: Hongli Dong Author-X-Name-First: Hongli Author-X-Name-Last: Dong Author-Name: Hongjian Liu Author-X-Name-First: Hongjian Author-X-Name-Last: Liu Author-Name: Guangran Lyu Author-X-Name-First: Guangran Author-X-Name-Last: Lyu Title: A survey on fault-tolerant consensus control of multi-agent systems: trends, methodologies and prospects Abstract: The consensus control problem of multi-agent systems (MASs) has received an increasing research interest with ever-developing consensus theory. Before it can be widely applied to actual engineering, the consensus theory needs to be improved by addressing some practical problems. One of the key problems is how to ensure the desirable performance of each agent as well as the entire MAS when confronted with faults, which is referred to as the fault-tolerant consensus control (FTCC) issue. In this survey, we review the classic and recent results in the context of FTCC from two aspects, namely, physical security and logical security. In addition, we provide the latest results on FTCC where the physical and logical security are considered simultaneously in a framework. Finally, we outline several potential future research topics on the FTCC issue. Journal: International Journal of Systems Science Pages: 2800-2813 Issue: 13 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2056772 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2056772 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:13:p:2800-2813 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2063967_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Wenjing An Author-X-Name-First: Wenjing Author-X-Name-Last: An Author-Name: Peifeng Zhao Author-X-Name-First: Peifeng Author-X-Name-Last: Zhao Author-Name: Hongjian Liu Author-X-Name-First: Hongjian Author-X-Name-Last: Liu Author-Name: Jun Hu Author-X-Name-First: Jun Author-X-Name-Last: Hu Title: Distributed multi-step subgradient projection algorithm with adaptive event-triggering protocols: a framework of multiagent systems Abstract: This paper discusses a convex optimisation problem with a common set of constraints in the framework of multi-agent systems. Each agent only exchanges information with its neighbours and collaboratively searches for the optimal solution of the global function. To this addressed problem, a distributed multi-step subgradient projection algorithm is developed, where an adaptive event-triggering protocol is designed to govern the information exchange. It is disclosed that the state of each agent representing the estimate of the optimal solution asymptotically converges to one of the optimal solutions under suitably chosen stepsizes and momentum parameters. Simulation results verify that the proposed algorithm has better convergence performance than the standard event-triggered subgradient projection algorithm. In addition, the communication frequency between agents can be effectively reduced to save communication resource consumption. Journal: International Journal of Systems Science Pages: 2758-2772 Issue: 13 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2063967 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2063967 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:13:p:2758-2772 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2083256_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Ying Sun Author-X-Name-First: Ying Author-X-Name-Last: Sun Author-Name: Xin Tian Author-X-Name-First: Xin Author-X-Name-Last: Tian Author-Name: Guoliang Wei Author-X-Name-First: Guoliang Author-X-Name-Last: Wei Title: Finite-time distributed resilient state estimation subject to hybrid cyber-attacks: a new dynamic event-triggered case Abstract: This paper is concerned with the issues of finite-time distributed resilient state estimation subject to hybrid cyber-attacks. The information exchanges among estimators are governed by an improved dynamic event-triggered mechanism, in which the time-varying threshold with predetermined upper and lower bounds is updated by artificial internal dynamics. With the help of the Lyapunov stability theory combined with the S-procedure, a sufficient condition is developed such that the augmented error dynamics are stochastic finite-time bounded. Furthermore, the desired estimator gains are acquired in terms of the solution to certain matrix inequalities which involve the information of communication topology, cyber-attack probabilities as well as the uncertainty of gain matrices. Finally, the effectiveness of the designed distributed state estimator is illustrated by a numerical example. Journal: International Journal of Systems Science Pages: 2832-2844 Issue: 13 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2083256 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2083256 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:13:p:2832-2844 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2070794_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Zewei Yang Author-X-Name-First: Zewei Author-X-Name-Last: Yang Author-Name: Yurong Liu Author-X-Name-First: Yurong Author-X-Name-Last: Liu Author-Name: Wenbing Zhang Author-X-Name-First: Wenbing Author-X-Name-Last: Zhang Author-Name: Fawaz E. Alsaadi Author-X-Name-First: Fawaz E. Author-X-Name-Last: Alsaadi Author-Name: Khalid H. Alharbi Author-X-Name-First: Khalid H. Author-X-Name-Last: Alharbi Title: Differentially private containment control for multi-agent systems Abstract: This paper is concerned with the differential privacy-based containment control problem for a class of discrete-time multi-agent systems (MASs) with time-varying topology. The classical containment control implementation relies on the explicit information exchange between agents, which will lead to the possible leakage of agents' private information, especially the initial states. In this paper, to prevent such data disclosure to neighbours inside the MASs and the outside eavesdroppers, uncorrelated noise is injected into the data during information transmission, which will bring about a more complicated scenario to the containment control. Under a milder assumption on the connectivity of the MAS – ‘average graph topology’, by resorting to the Lyapunov stability theory and algebraic graph theory, and utilising stochastic analysis techniques, sufficient conditions are derived to ensure that the discrete-time MAS subjecting to the privacy protection mechanism can achieve bounded containment control. Then, convergence accuracy is studied from the viewpoint of probability. Specially, Markov inequality is first utilised to estimate the lower bound of the probability that followers' states converge to the neighbourhood of the convex hull formed by leaders' states. Besides, differential privacy analysis is carried out to verify the validity of the proposed privacy protection mechanism in protecting the followers' initial states. Finally, two numerical examples are simulated to verify the theoretical results. Journal: International Journal of Systems Science Pages: 2814-2831 Issue: 13 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2070794 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2070794 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:13:p:2814-2831 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2062801_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Jie Li Author-X-Name-First: Jie Author-X-Name-Last: Li Author-Name: Yu Zhang Author-X-Name-First: Yu Author-X-Name-Last: Zhang Title: Input-to-state stability of discrete-time time-varying impulsive delay systems Abstract: This paper investigates the input-to-state stability (ISS) of nonlinear discrete-time time-varying impulsive delay systems with the coexistence of stabilising and destabilising impulses. Some ISS criteria are established for discrete-time impulsive delay systems by employing the Lyapunov functional where the coefficient of the estimated upper bound of the time difference of the Lyapunov functional is allowed to be a time-varying function which can take both negative and positive values. In addition, the ISS of a class of discrete-time linear time-varying impulsive delay systems is discussed by utilising a non-quadratic Lyapunov functional. Numerical examples are presented to verify the effectiveness of the main results. Journal: International Journal of Systems Science Pages: 2860-2875 Issue: 14 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2062801 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2062801 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:14:p:2860-2875 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2065706_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Xiangshan Kong Author-X-Name-First: Xiangshan Author-X-Name-Last: Kong Author-Name: Haitao Li Author-X-Name-First: Haitao Author-X-Name-Last: Li Title: Finite-time sampled-data set stabilisation of delayed probabilistic Boolean control networks Abstract: In this paper, the finite-time constrained set stabilisation of delayed probabilistic Boolean control networks (DPBCNs) is considered via sampled-data control (SDC). The main mathematical tool is semi-tensor product of matrices, which is used to convert the dynamics of DPBCNs into an equivalent algebraic state space representation (ASSR). Based on the ASSR of DPBCNs, the constrained sampled-data transition probability matrix is constructed. Then, new criteria are proposed for the finite-time constrained reachability of DPBCNs under uniform SDC. By virtue of finite-time constrained reachability, a procedure is established to design state feedback sampled-data stabilisers for DPBCNs. The obtained results are applied to the ‘minimal’ model of lactose operon in E. coli. Journal: International Journal of Systems Science Pages: 2935-2947 Issue: 14 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2065706 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2065706 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:14:p:2935-2947 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2070790_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Zhan Li Author-X-Name-First: Zhan Author-X-Name-Last: Li Author-Name: Shuai Li Author-X-Name-First: Shuai Author-X-Name-Last: Li Title: Model-based recurrent neural network for redundancy resolution of manipulator with remote centre of motion constraints Abstract: Redundancy resolution is a critical issue to achieve accurate kinematic control for manipulators. End-effectors of manipulators can track desired paths well with suitable resolved joint variables. In some manipulation applications such as selecting insertion paths to thrill through a set of points, it requires the distal link of a manipulator to translate along such fixed point and then perform manipulation tasks. The point is known as remote centre of motion (RCM) to constrain motion planning and kinematic control of manipulators. Together with its end-effector finishing path tracking tasks, the redundancy resolution of a manipulators has to maintain RCM to produce reliable resolved joint angles. However, current existing redundancy resolution schemes on manipulators based on recurrent neural networks (RNNs) mainly are focusing on unrestricted motion without RCM constraints considered. In this paper, an RNN-based approach is proposed to solve the redundancy resolution issue with RCM constraints, developing a new general dynamic optimisation formulation containing the RCM constraints. Theoretical analysis shows the theoretical derivation and convergence of the proposed RNN for redundancy resolution of manipulators with RCM constraints. Simulation results further demonstrate the efficiency of the proposed method in end-effector path tracking control under RCM constraints based on an industrial redundant manipulator system. Journal: International Journal of Systems Science Pages: 3056-3069 Issue: 14 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2070790 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2070790 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:14:p:3056-3069 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2064556_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Théo Plénet Author-X-Name-First: Théo Author-X-Name-Last: Plénet Author-Name: Samira El Yacoubi Author-X-Name-First: Samira Author-X-Name-Last: El Yacoubi Author-Name: Clément Raïevsky Author-X-Name-First: Clément Author-X-Name-Last: Raïevsky Author-Name: Laurent Lefèvre Author-X-Name-First: Laurent Author-X-Name-Last: Lefèvre Title: Observability and reconstructibility of bounded cellular automata Abstract: The aim of this article is to provide several ways to assess the observability and the reconstructibility of bounded cellular automata (CA). First, generic definitions for the considered CA and their associated sensors are given, as well as the definitions for observability and reconstructibility of these measured dynamical systems. Criteria of observability and reconstructibility are proposed for linear and affine CA through an extension of the Kalman criterion and for non-linear CA from an extension of the results on observability and reconstructibility of Boolean networks. A method for decentralised observability calculation is presented for non-linear CA in order to reduce the algorithmic complexity. These criteria are analyzed and illustrated through several examples, either with fixed or mobile sensors. Numerical methods and related complexity issues are discussed. Journal: International Journal of Systems Science Pages: 2901-2917 Issue: 14 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2064556 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2064556 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:14:p:2901-2917 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2067908_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Yanliang Cui Author-X-Name-First: Yanliang Author-X-Name-Last: Cui Author-Name: Lanlan Xu Author-X-Name-First: Lanlan Author-X-Name-Last: Xu Title: Dynamic event-triggered average dwell time control for switching linear systems Abstract: This paper concerns to an event-triggered control for switching linear systems. For reducing the data transmission amount of the communication network from sensor to controller, a switching-mode independent dynamic event-trigger (DET) is constructed wherein a positive constant and a positive auxiliary variable are simultaneously involved. Based on the received discrete-time state measurements, a mode-dependent feedback control law is proposed. Given some prior activation probabilities of switching signal, an average dwell time (ADT) based controller designed method is presented. It is proved that the closed-loop system achieves Zeno-free mean square bounded exponentially stable (MSBES). Significantly, the minimal event-triggered interval can be accurately given while the maximal event-triggered interval can be approximated. Numerical examples are provided to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2980-2997 Issue: 14 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2067908 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2067908 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:14:p:2980-2997 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2065705_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Meng Liu Author-X-Name-First: Meng Author-X-Name-Last: Liu Author-Name: Yong He Author-X-Name-First: Yong Author-X-Name-Last: He Author-Name: Lin Jiang Author-X-Name-First: Lin Author-X-Name-Last: Jiang Title: A relaxed binary quadratic function negative-determination lemma and its application to neutral systems with interval time-varying delays and nonlinear disturbances Abstract: This paper considers the stability problem of neutral systems with interval time-varying delays and nonlinear disturbances. Firstly, an augmented vector containing two double integral terms is introduced into the Lyapunov-Krasovskii functional (LKF). In this case, a binary quadratic function with discrete and neutral delay arises in the time derivative. To gain the negativity condition of such function, by taking full advantage of the idea of partial differential of the binary quadratic function and Taylor's formula, a relaxed binary quadratic function negative-determination lemma with two adjustable parameters is proposed, which contains the existing lemmas as its special cases and shows the great potential of reducing conservatism for the case where the tangent slope at the endpoint is far from zero. Then, based on the improved lemma, more relaxing stability criteria have been obtained via an augmented LKF. Finally, two classic numerical examples are given to attest the effectiveness and strengths of the obtained stability criteria. Journal: International Journal of Systems Science Pages: 2918-2934 Issue: 14 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2065705 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2065705 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:14:p:2918-2934 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2068693_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Zhenzhen Pan Author-X-Name-First: Zhenzhen Author-X-Name-Last: Pan Author-Name: Zhongsheng Hou Author-X-Name-First: Zhongsheng Author-X-Name-Last: Hou Author-Name: Ronghu Chi Author-X-Name-First: Ronghu Author-X-Name-Last: Chi Title: Distributed model-free adaptive predictive control for heterogeneous nonlinear multi-agent systems Abstract: This paper investigates the data-driven consensus tracking problem for heterogeneous multi-agent systems. All of the heterogeneous dynamics, disturbances and measurement noises are considered for the output tracking consensus of nonlinear multi-agent network under a data-driven scheme. A dynamic linearisation method is introduced to deal with the nonlinear nonaffine structures of the agents and a heterogeneous linear data model for the agent is obtained due to the heterogeneous dynamics of the agent itself. On this basis, a distributed model-free adaptive predictive control (DMFAPC) algorithm is constructed by the use of consensus errors and the robustness analysis is conducted in the presence of disturbances. Further, the results are modified by using measured outputs to replace the system outputs, and thus a measured output-based DMFAPC is presented to deal with the omnipresent measurement noises in practical applications. The two proposed DMFAPC methods are data driven since no mechanistic model information is required wherein. And thus, no unmodelled dynamics affects the consensus performance. Instead, they can improve the control performance by utilising additional predictive information. The two proposed DMFAPC methods are verified using numerical simulations. Journal: International Journal of Systems Science Pages: 3027-3041 Issue: 14 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2068693 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2068693 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:14:p:3027-3041 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2070793_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Hsien-Chung Wu Author-X-Name-First: Hsien-Chung Author-X-Name-Last: Wu Title: Solving multiobjective optimisation problems using genetic algorithms and solutions concepts of cooperative games Abstract: A new methodology is proposed in this paper to solve multiobjective optimisation problems (MOPs) by invoking genetic algorithms and solutions concepts of cooperative games. The weighting problems that are formulated by assigning some suitable weights to the multiple objective functions are usually solved to obtain the Pareto optimal solutions of MOPs. In this paper, the suitable weights will be taken from the core values of a cooperative game that is formulated from the original MOP by regarding the objective functions as players. Under these settings, we shall obtain a large set of all so-called Core-Pareto optimal solutions. In order to choose the best Core-Pareto optimal solution from this set, we shall invoke the genetic algorithms by setting a reasonable fitness function. Journal: International Journal of Systems Science Pages: 3095-3111 Issue: 14 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2070793 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2070793 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:14:p:3095-3111 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2063965_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Ahcene Hamoudi Author-X-Name-First: Ahcene Author-X-Name-Last: Hamoudi Author-Name: Nadia Djeghali Author-X-Name-First: Nadia Author-X-Name-Last: Djeghali Author-Name: Maamar Bettayeb Author-X-Name-First: Maamar Author-X-Name-Last: Bettayeb Title: High-order sliding mode-based synchronisation of fractional-order chaotic systems subject to output delay and unknown disturbance Abstract: This work deals with chaos synchronisation. One of the commonly used methods is the master-slave configuration, where the response of the chaotic receiver (slave) system must converge to the chaotic trajectory of the transmitter (master). The major problem with this configuration is the delay that occurs during the transmission of the drive signal from the master to the slave, which can degrade the synchronisation. The objective of this paper is to propose a solution to the synchronisation problem of nonlinear fractional-order chaotic systems in the presence of a transmission delay at the output and unknown disturbance. The proposed approach consists of combining a fractional high-order sliding mode observer (FHOSMO) and a predictor arranged in a cascade to compensate for the delayed transmission signal from the transmitter to the receiver. The observer permits to estimate the delayed states and the delayed total disturbance (uncertainties and external disturbances) in finite time. These estimates are injected into the predictor to obtain the estimated states at the current time. The finite time convergence of the proposed method is established. The numerical simulations illustrate the theoretical results and the performance of the proposed method. The proposed synchronisation method is compared with other synchronisation methods using the chattering free sliding mode approach such as the fractional first-order sliding mode observer using the continuous function instead of the discontinuous sign function and the fractional second-order sliding mode observer. In addition, a conventional first-order sliding mode observer with the sign function is also considered. Journal: International Journal of Systems Science Pages: 2876-2900 Issue: 14 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2063965 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2063965 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:14:p:2876-2900 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2060366_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Longyan Hao Author-X-Name-First: Longyan Author-X-Name-Last: Hao Author-Name: Chaoli Wang Author-X-Name-First: Chaoli Author-X-Name-Last: Wang Author-Name: Guang Zhang Author-X-Name-First: Guang Author-X-Name-Last: Zhang Author-Name: Chonglin Jing Author-X-Name-First: Chonglin Author-X-Name-Last: Jing Author-Name: Yibo Shi Author-X-Name-First: Yibo Author-X-Name-Last: Shi Title: Data-driven optimal tracking control of discrete-time linear systems with multiple delays via the value iteration algorithm Abstract: In this paper, the optimal tracking problem for discrete-time linear systems with multiple delays is studied without system dynamics. It is known that the total state of a system without specific dynamic characteristics is hard to be measured, unless such a system is equipped with massive sensors, which, however, may lead to an increase in cost and complexity for analysing. To deal with this problem and avoid adverse effects caused by using system state information, a new data-driven value iteration (DDVI) algorithm is proposed by considering three factors: past control inputs, system outputs, and external reference trajectories. Before the algorithm is proposed, a transformation is made to the original system according to the characteristics of the time-delay system, so that the time-delay number can be reduced or become a delay-free system. A novel data-driven state equation is derived from the historical data of the three factors, and then, it is adopted to solve the optimal control of multi-delay systems. Further results show that the proposed DDVI algorithm is convergent and the tracking error is asymptotically stable. Finally, simulations are provided to show the effectiveness of the controller. Journal: International Journal of Systems Science Pages: 2845-2859 Issue: 14 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2060366 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2060366 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:14:p:2845-2859 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2067912_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Rihab El Houda Thabet Author-X-Name-First: Rihab Author-X-Name-Last: El Houda Thabet Author-Name: Sofiane Ahmed Ali Author-X-Name-First: Sofiane Author-X-Name-Last: Ahmed Ali Author-Name: Vicenç Puig Author-X-Name-First: Vicenç Author-X-Name-Last: Puig Title: High-gain interval observer for continuous–discrete-time systems using an LMI design approach Abstract: In this paper, a high-gain interval observer (HGIO) for a class of partially linear continuous-time systems with sampled measured outputs in the presence of bounded noise and additive disturbances is proposed. The design of the HGIO is formulated in the Linear Matrix Inequality (LMI) framework. The gain of the HGIO is designed to satisfy the cooperative property using a time-varying change of coordinates based on pole placement in separate LMI regions. Moreover, a procedure for designing the HGIO gain to minimise the effect of the noise and disturbance in the estimation is provided. The stability of the proposed HGIO is also guaranteed. The proposed approach is assessed in simulation using a numerical example. Journal: International Journal of Systems Science Pages: 3010-3026 Issue: 14 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2067912 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2067912 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:14:p:3010-3026 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2068694_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Xiongbo Wan Author-X-Name-First: Xiongbo Author-X-Name-Last: Wan Author-Name: Fan Wei Author-X-Name-First: Fan Author-X-Name-Last: Wei Author-Name: Chuan-Ke Zhang Author-X-Name-First: Chuan-Ke Author-X-Name-Last: Zhang Author-Name: Min Wu Author-X-Name-First: Min Author-X-Name-Last: Wu Title: Hybrid variables-dependent event-triggered model predictive control subject to polytopic uncertainties Abstract: This paper focuses on the model predictive control (MPC) issue where the measurable state is released under an event-triggered mechanism (ETM) to implement MPC over an infinite horizon. A new dynamic ETM (DETM) is devised to conserve network resources, which contains an additive internal dynamic variable (IDV), a multiplicative adaptively adjusting variable, a time-varying weighting matrix and several flexible scalars. The MPC problem is formulated as a ‘min–max’ optimisation problem (OP), where a hard constraint and robust positive invariant set on the predictive state/IDV are considered simultaneously. By resorting to a Lyapunov-like function that depends on the IDV, we put forward an auxiliary OP with matrix-inequality-based constraints. By the feasible solutions of such an auxiliary OP, the feedback gain matrix is designed which ensures the asymptotic stability of the closed-loop system. Two examples are presented to demonstrate the validity of the devised DETM and the DETM-based MPC algorithm. The study verifies that the devised DETM has advantages over an existing counterpart in conserving network resources while achieving the desired performance. Journal: International Journal of Systems Science Pages: 3042-3055 Issue: 14 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2068694 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2068694 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:14:p:3042-3055 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2067907_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Qian Liu Author-X-Name-First: Qian Author-X-Name-Last: Liu Author-Name: Zhaojing Wu Author-X-Name-First: Zhaojing Author-X-Name-Last: Wu Author-Name: Senping Tian Author-X-Name-First: Senping Author-X-Name-Last: Tian Title: Analysis on PDα iterative learning control algorithm for fractional differential nonlinear singular systems Abstract: The issue of iterative learning control for the fractional differential nonlinear singular system is discussed in this research. The PD $ ^\alpha $ α iterative learning control algorithm is proposed for such systems for the sake of tracking the desired trajectory. Analysis on iterative learning control for fractional differential nonlinear singular systems with time delay and interfere are considered in the paper. Sufficient conditions for the convergence have been analysed thoroughly. Finally, simulation illustrations are given to guarantee the validity and efficiency of the algorithm. Journal: International Journal of Systems Science Pages: 2967-2979 Issue: 14 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2067907 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2067907 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:14:p:2967-2979 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2067366_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Furkan Nur Deniz Author-X-Name-First: Furkan Nur Author-X-Name-Last: Deniz Title: An effective Smith predictor based fractional-order PID controller design methodology for preservation of design optimality and robust control performance in practice Abstract: In this study, an optimal and robust fractional order PID (FOPID) controller design approach is suggested for Smith predictor based FOPID (SP-FOPID) control system design. This new design approach considers continued fraction expansion (CFE) based approximate models in the optimal design task of FOPID controllers, and this approach preserves the design optimality in control applications. For this purpose, an inverse controller loop shaping design methodology is performed in order to approximate the frequency response of a Bode’s ideal loop reference model, and robust performance CFE based FOPID controller models are obtained by solving a multi-objective optimisation problem via a genetic algorithm. Thus, the suggested algorithm can deal with several controller realisation concerns in the design task of FOPID controllers and overcome real-world controller performance issues related with model approximation errors and signal saturation boundaries of electronic hardware. Illustrative design examples demonstrate that the suggested design scheme can preserve design optimality and improve practical control performance in practice. Journal: International Journal of Systems Science Pages: 2948-2966 Issue: 14 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2067366 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2067366 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:14:p:2948-2966 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2067909_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Hao Wang Author-X-Name-First: Hao Author-X-Name-Last: Wang Author-Name: Zhaoliang Sheng Author-X-Name-First: Zhaoliang Author-X-Name-Last: Sheng Author-Name: Chong Lin Author-X-Name-First: Chong Author-X-Name-Last: Lin Author-Name: Bing Chen Author-X-Name-First: Bing Author-X-Name-Last: Chen Title: Asymmetric Lyapunov–Krasovskii functional method for admissibility analysis and stabilisation of T-S fuzzy singular systems with time delay Abstract: In this paper, the admissibility analysis and stabilisation of T-S fuzzy singular systems with time delay are studied based on the asymmetric Lyapunov–Krasovskii functional method. The criteria for admissibility analysis and stabilisation are given by using linear matrix inequality, and the conservatism is reduced by combining the membership-function-dependent method. Finally, three examples are given to verify the advantages of the method. Journal: International Journal of Systems Science Pages: 2998-3009 Issue: 14 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2067909 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2067909 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:14:p:2998-3009 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2070792_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Muhammad Imran Author-X-Name-First: Muhammad Author-X-Name-Last: Imran Author-Name: Muhammad Imran Author-X-Name-First: Muhammad Author-X-Name-Last: Imran Title: Model order reduction framework for discrete-time systems with error bound via balanced structure Abstract: Two-dimensional models are challenging to deal with because of their complex structure. As the model's order grows larger, simulation, analysis, design, and control become more challenging. For one-dimensional and two-dimensional models, Enns' weighted (i.e. frequency and time) model reduction procedures result in an unstable reduced-order model. For one-dimensional reduced-order systems, researchers devised a number of frequency-weighted stability-preserving solutions; nevertheless, these solutions result in significant approximation errors. However, to the best of the authors' knowledge, no time-weighted stability-preserving model reduction framework is available in the literature for the discrete-time one-dimensional and two-dimensional systems. In this research, two-dimensional models are separated into two sub-models (i.e. two cascaded one-dimensional models) and reduced using time-weighted Gramians utilising minimal rank-decomposition. The approach applies to both one-dimensional and two-dimensional models. For one-dimensional and two-dimensional models, the suggested methodology additionally gives a priori error-bounds expressions. Numerical results and comparisons to existing methodologies illustrate the efficacy of the proposed methodology. Journal: International Journal of Systems Science Pages: 3081-3094 Issue: 14 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2070792 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2070792 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:14:p:3081-3094 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2074567_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Juan Chen Author-X-Name-First: Juan Author-X-Name-Last: Chen Author-Name: Bo Zhuang Author-X-Name-First: Bo Author-X-Name-Last: Zhuang Author-Name: Yajuan Yu Author-X-Name-First: Yajuan Author-X-Name-Last: Yu Title: Asymptotic stabilisation of coupled delayed time fractional reaction diffusion systems with boundary input disturbances via backstepping sliding-mode control Abstract: In this paper we study the asymptotic stabilisation for coupled time fractional reaction diffusion (FRD) systems with time varying delays and input disturbances by backstepping-based boundary sliding-mode control. Here, the spatially varying diffusion coefficients can be same or distinct. To stabilise the system, we first use an invertible backstepping transformation to convert an original dynamics into a target dynamics with new manipulable inputs and perturbations. Then, we employ the sliding-mode algorithm to design this discontinuous controller to suppress disturbances. In this case, we obtain the combined backstepping/sliding-mode controller of the original dynamics. By using the fractional Halanay's inequality, the delay-independent stability condition is obtained for the asymptotic stabilisation of the delayed target system and therefore of the delayed original system under the combined controller. Fractional numerical examples are given to verify the efficiency of the proposed synthesis. Journal: International Journal of Systems Science Pages: 3112-3130 Issue: 14 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2074567 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2074567 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:14:p:3112-3130 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2076172_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Karpagavalli Subramanian Author-X-Name-First: Karpagavalli Author-X-Name-Last: Subramanian Author-Name: T. S. Chandar Author-X-Name-First: T. S. Author-X-Name-Last: Chandar Title: A novel strategy for identification and control of a class of linear systems Abstract: Control of time-varying systems has become increasingly popular in recent years, as various domains such as aviation, automobile and manufacturing industries require a quick and precise response in the presence of uncertainties. Adaptive control, a popular strategy is used to control systems with unknown or time-varying properties. Classic adaptive control is insufficient to cope with time-varying parameters to produce desired results with minimal parametric error. Furthermore, for these strategies to work, identification model must be initialised closer to the plant. Else the transient response of the plant is likely to grow unbounded. This paper mainly concentrates on employing adaptive control for a type of linear time-invariant (LTI) and linear time-varying (LTV) systems. The time variations in LTV plant parameters are either slow, rapid or fast. This research in turn proposes a two-stage adaptive scheme which swiftly determines the compact region in which plant parameters reside. This method in turn ensures atleast one model to be initialised closer to the plant which significantly reduces parametric estimation error. The uniform boundedness of identification error, tracking error as well as the parametric error of LTI and LTV systems, are deduced. Sufficient examples are also considered to demonstrate the efficacy of the proposed two-stage scheme. Journal: International Journal of Systems Science Pages: 3131-3144 Issue: 14 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2076172 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2076172 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:14:p:3131-3144 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2070791_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Aoxue Xiang Author-X-Name-First: Aoxue Author-X-Name-Last: Xiang Author-Name: Siqi Wang Author-X-Name-First: Siqi Author-X-Name-Last: Wang Author-Name: Ruicheng Ma Author-X-Name-First: Ruicheng Author-X-Name-Last: Ma Title: Discounted-cost linear quadratic regulation of switched linear systems Abstract: This paper investigates the design of discounted-cost linear quadratic regulator for a class of switched linear systems. The distinguishing feature of the proposed method is that the designed discounted-cost linear quadratic regulator achieves not only the desired optimisation index but also the exponentially convergent of the state trajectory of the closed-loop switched linear systems. First, the studied problem is transformed into a quadratic-programming problem by embedding transformation. Then, the bang-bang type solution of the embedded optimal control problem on a finite-time horizon is derived, which is the optimal solution to the original problems. The computable sufficient conditions on discounted-cost linear quadratic regulator are proposed for finite-time and infinite-time horizon cases, respectively. Finally, two examples are provided to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 3070-3080 Issue: 14 Volume: 53 Year: 2022 Month: 10 X-DOI: 10.1080/00207721.2022.2070791 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2070791 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:14:p:3070-3080 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2079753_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Jiawei Zhuang Author-X-Name-First: Jiawei Author-X-Name-Last: Zhuang Author-Name: Shiguo Peng Author-X-Name-First: Shiguo Author-X-Name-Last: Peng Author-Name: Yonghua Wang Author-X-Name-First: Yonghua Author-X-Name-Last: Wang Title: Exponential consensus of nonlinear stochastic discrete-time multi-agent systems with time-varying delay via impulsive control Abstract: This paper tackles the leader-following exponential consensus (LFEC) problem of nonlinear stochastic discrete-time multi-agent systems (DTMASs), which are subject to parameter uncertainties, stochastic disturbances and time-varying delay. An effective impulsive control strategy is utilised to guarantee that the leader-following consensus can be achieved exponentially. Particularly, several sufficient criteria regarding LFEC are derived by exploring the Lyapunov–Krasovskii functional and the linear matrix inequality technique. Additionally, the definition of the average impulsive interval is embedded into our developed results, which makes the results to be less conservative than those utilising the maximum and minimum impulsive intervals. At last, by the demonstration of numerical simulation results, the developed results are proven to be effective for achieving the LFEC of DTMASs. Journal: International Journal of Systems Science Pages: 3286-3301 Issue: 15 Volume: 53 Year: 2022 Month: 11 X-DOI: 10.1080/00207721.2022.2079753 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2079753 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:15:p:3286-3301 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2076952_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Yaping Xia Author-X-Name-First: Yaping Author-X-Name-Last: Xia Author-Name: Yuanting Wu Author-X-Name-First: Yuanting Author-X-Name-Last: Wu Author-Name: Wenyong Duan Author-X-Name-First: Wenyong Author-X-Name-Last: Duan Title: Cluster synchronisation of nonlinear singular complex networks with multi-links and time delays Abstract: This paper investigates the cluster synchronisation problem of singular nonlinear networks with multi-links and time delays. A two-layer nonlinearly coupled multiplex model composed of many pairs of multi-link leader–follower subnets is introduced, which can more accurately reveal the structure between leader–follower layers. Based on Lyapunov stability theory, some stability criteria for cluster synchronisation are proposed by adaptive pinning control. Finally, numerical examples are employed to illustrate the effectiveness of the proposed methods. Journal: International Journal of Systems Science Pages: 3226-3241 Issue: 15 Volume: 53 Year: 2022 Month: 11 X-DOI: 10.1080/00207721.2022.2076952 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2076952 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:15:p:3226-3241 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2079754_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Xue Song Author-X-Name-First: Xue Author-X-Name-Last: Song Author-Name: Shuping Ma Author-X-Name-First: Shuping Author-X-Name-Last: Ma Title: Indefinite linear quadratic optimal control for continuous-time rectangular descriptor Markov jump systems: infinite-time case Abstract: The indefinite linear quadratic (ILQ) optimal control problem has many important applications in financial, economic systems, etc., which has been widely researched in stochastic systems and descriptor systems, etc. However, for ILQ problem of rectangular descriptor Markov jump systems (DMJSs), because there are impulses simultaneously in descriptor subsystems and at the switching time, it is theoretically difficult to research and there is no result yet. This paper discusses the ILQ optimal control problem for continuous-time linear rectangular DMJSs. Firstly, under some rank conditions and inequality conditions, the ILQ problem for rectangular DMJSs can be equivalently transformed into standard LQ problem for Markov jump systems (MJSs) by using elementary linear algebra method. Then based on the LQ theory of MJSs, the solvable sufficient condition of the ILQ problem for rectangular DMJSs and the non-negative optimal cost value are obtained. The optimal control can be synthesised as state feedback, and the resulting optimal closed-loop system has the stochastically stable solution. In addition, with some rank inequality assumptions, the differential subsystem of the resulting optimal closed-loop system can be ensured to have a unique solution. Finally, two numerical examples are provided to illustrate the effectiveness of the methods proposed in this paper. Journal: International Journal of Systems Science Pages: 3302-3321 Issue: 15 Volume: 53 Year: 2022 Month: 11 X-DOI: 10.1080/00207721.2022.2079754 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2079754 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:15:p:3302-3321 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2076171_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Peng Cheng Author-X-Name-First: Peng Author-X-Name-Last: Cheng Author-Name: Hai Wang Author-X-Name-First: Hai Author-X-Name-Last: Wang Author-Name: Vladimir Stojanovic Author-X-Name-First: Vladimir Author-X-Name-Last: Stojanovic Author-Name: Fei Liu Author-X-Name-First: Fei Author-X-Name-Last: Liu Author-Name: Shuping He Author-X-Name-First: Shuping Author-X-Name-Last: He Author-Name: Kaibo Shi Author-X-Name-First: Kaibo Author-X-Name-Last: Shi Title: Dissipativity-based finite-time asynchronous output feedback control for wind turbine system via a hidden Markov model Abstract: This paper concerns the issue of finite-time dissipative asynchronous output feedback control for a wind turbine system that can be modelled as Markov jump Lur'e systems. Due to quantisation, time delays and ubiquitous data dropouts, the actual controller modes in practical application cannot always operate synchronously with the plant modes. To conquer this difficulty, a hidden Markov model is employed to provide some estimated modes information for controlling. In addition, by the Lyapunov function approach and linear matrix inequality technology, sufficient conditions are developed to guarantee finite-time boundedness of the continuous-time closed-loop system subject to strictly $ (\mathcal {U}, \mathcal {G}, \mathcal {V}) $ (U,G,V)-α-dissipative performance. Finally, a simulation example of a wind turbine system is given to verify the correctness and applicability of the proposed controller. Journal: International Journal of Systems Science Pages: 3177-3189 Issue: 15 Volume: 53 Year: 2022 Month: 11 X-DOI: 10.1080/00207721.2022.2076171 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2076171 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:15:p:3177-3189 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2083255_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Miao Wei Author-X-Name-First: Miao Author-X-Name-Last: Wei Author-Name: Yijun Zhang Author-X-Name-First: Yijun Author-X-Name-Last: Zhang Author-Name: Baoyong Zhang Author-X-Name-First: Baoyong Author-X-Name-Last: Zhang Title: Dual-channel event-triggered control for positive nonlinear systems Abstract: This paper focuses on the problem of dual-channel event-triggered control for positive nonlinear systems. A dual-channel event-triggered transmission scheme is proposed to determine whether the data packets should be released or not. Two 1-norm-based event-trigger conditions are designed for the sensor-controller channel and controller-actuator channel, respectively. The condition of the system remaining positivity with the designed event-trigger conditions and feedback control law is provided. By using the Lyapunov method and matrix decomposition technique, a sufficient criterion ensuring the closed loop system to be asymptotically stable is proposed. For the linearisation purpose, the control gain is delicately decomposed into a nonnegative component and a non-positive component. Zeno behaviour of the designed event-triggered transmission of sampled data packets is further rigorously proved to be excluded. An example of water pollution control system is provided to show the effectiveness of the obtained results. Journal: International Journal of Systems Science Pages: 3351-3363 Issue: 15 Volume: 53 Year: 2022 Month: 11 X-DOI: 10.1080/00207721.2022.2083255 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2083255 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:15:p:3351-3363 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2075486_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Qian Wang Author-X-Name-First: Qian Author-X-Name-Last: Wang Author-Name: Chuang Gao Author-X-Name-First: Chuang Author-X-Name-Last: Gao Author-Name: Yang Cui Author-X-Name-First: Yang Author-X-Name-Last: Cui Author-Name: Li-Bing Wu Author-X-Name-First: Li-Bing Author-X-Name-Last: Wu Title: Adaptive control-based barrier Lyapunov functions for strict-feedback stochastic nonlinear systems with input saturation and dead zone Abstract: The purpose of this paper is to design an adaptive controller for uncertain strict-feedback stochastic nonlinear systems with dead zone and input saturation. A barrier Lyapunov function in asymmetric forms is constructed which can relax the requirements for initial conditions. To simplify the design process of the controller, a dead zone-based model of saturation is implemented and neural networks are used to approximate uncertain nonlinear functions and to construct an observer to cope with difficulties raised by the presence of immeasurable state variables. By applying the backstepping technique, a smooth tracking controller with adaptive law is proposed to ensure all the signals in the closed-loop system are semi-globally uniformly ultimately bounded. Furthermore, the tracking error can converge to a small neighbourhood of the origin. The effectiveness of the proposed scheme is presented by simulations on a numerical example. Journal: International Journal of Systems Science Pages: 3165-3176 Issue: 15 Volume: 53 Year: 2022 Month: 11 X-DOI: 10.1080/00207721.2022.2075486 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2075486 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:15:p:3165-3176 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2074568_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Bin Li Author-X-Name-First: Bin Author-X-Name-Last: Li Author-Name: Xue Yang Author-X-Name-First: Xue Author-X-Name-Last: Yang Author-Name: Ranran Zhou Author-X-Name-First: Ranran Author-X-Name-Last: Zhou Author-Name: Guoxing Wen Author-X-Name-First: Guoxing Author-X-Name-Last: Wen Title: Reinforcement learning-based optimised control for a class of second-order nonlinear dynamic systems Abstract: This paper presents an optimised tracking control scheme based on reinforcement learning (RL) for a class of second-order nonlinear systems with unknown dynamics. Different from the first-order dynamic system control, the second-order case is required to synchronously steer two variables of position and velocity, hence it makes this optimised control more challenging to accomplish. To achieve the optimised control, first, neural network (NN) is employed to approximate the solution of Hamilton–Jacobi–Bellman (HJB), and then an RL is performed by constructing both critic and actor based on the NN approximation. Since the RL training laws are derived from the negative gradient of a simple positive function generated in accordance with the partial derivative of HJB equation, it can make the control algorithm significantly simple to compare with the existing optimal control methods. Meanwhile, it can also release the condition of persistence excitation and compensate for the nonlinear uncertainty. Finally, the proposed adaptive control method can guarantee the desired results that are demonstrated by theorem, proof and simulation. Journal: International Journal of Systems Science Pages: 3154-3164 Issue: 15 Volume: 53 Year: 2022 Month: 11 X-DOI: 10.1080/00207721.2022.2074568 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2074568 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:15:p:3154-3164 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2076173_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Qizhe Chen Author-X-Name-First: Qizhe Author-X-Name-Last: Chen Author-Name: Xia Huang Author-X-Name-First: Xia Author-X-Name-Last: Huang Author-Name: Lan Yao Author-X-Name-First: Lan Author-X-Name-Last: Yao Author-Name: Yuxia Li Author-X-Name-First: Yuxia Author-X-Name-Last: Li Title: Exponential stabilisation of delayed Lur'e systems with multi-rate sampled-data control Abstract: In this paper, we focus on the multi-rate sampled-data based exponential stabilisation problem of delayed Lur'e systems. First, a merging time sequence $ \{t_k\} $ {tk} is constructed from the sampling instants of multiple sensors to form the so-called analysis interval and the closed-loop system is represented by a system with multiple time-varying delays over the constructed analysis interval. Then, a useful estimation about the norm of the system state is established. On this basis, a stabilisation criterion is proposed by constructing a two-sided looped-functional. The proposed functional drops positive definite restrictions over the whole analysis interval $ [t_k,t_{k+1}) $ [tk,tk+1). Therefore, it can reduce the conservatism of the derived criterion. And, the feasible solution of the multi-rate sampled-data controller gain can be provided by solving a set of LMIs. Finally, the given example shows the advantage of the main results. Journal: International Journal of Systems Science Pages: 3190-3204 Issue: 15 Volume: 53 Year: 2022 Month: 11 X-DOI: 10.1080/00207721.2022.2076173 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2076173 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:15:p:3190-3204 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2080297_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Xueyang Meng Author-X-Name-First: Xueyang Author-X-Name-Last: Meng Author-Name: Yun Chen Author-X-Name-First: Yun Author-X-Name-Last: Chen Author-Name: Lifeng Ma Author-X-Name-First: Lifeng Author-X-Name-Last: Ma Author-Name: Hongjian Liu Author-X-Name-First: Hongjian Author-X-Name-Last: Liu Title: Protocol-based variance-constrained distributed secure filtering with measurement censoring Abstract: In this article, the variance-constrained distributed secure filtering issue based on communication protocol is investigated for time-varying stochastic systems with measurement censoring and cyber attacks over wireless sensor networks. In order to accurately characterise the measurement censoring property of real instruments, a two-sided censoring model is introduced for each sensor node, where the actual measurement value can be obtained only when the pre-set condition is satisfied. The DoS attack, occurring in a random way, is considered on the sensor-to-filter channel. The try-once-discard (TOD) protocol is employed to reduce the transmitted data and alleviate the burdens of shared communication networks, such that only one sensor node is granted to transmit the measurement data at each time instant. By the aid of the Lyapunov stability theory and recursive linear matrix inequality (RLMI) method, the sufficient condition is acquired to guarantee that the desired secure filter under cyber attacks ensures certain $ H_{\infty } $ H∞ performance index and the filtering error variance constraint over a finite horizon. Finally, an illustrative example is provided to exhibit the effectiveness of the designed filtering algorithm. Journal: International Journal of Systems Science Pages: 3322-3338 Issue: 15 Volume: 53 Year: 2022 Month: 11 X-DOI: 10.1080/00207721.2022.2080297 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2080297 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:15:p:3322-3338 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2081373_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Ankit Sachan Author-X-Name-First: Ankit Author-X-Name-Last: Sachan Author-Name: Neeraj Gupta Author-X-Name-First: Neeraj Author-X-Name-Last: Gupta Author-Name: Sunil Kumar Author-X-Name-First: Sunil Author-X-Name-Last: Kumar Author-Name: Kranthi Kumar Deveerasetty Author-X-Name-First: Kranthi Author-X-Name-Last: Kumar Deveerasetty Title: Switching controller for nonlinear systems: an invariant [K, KL] sector approach* Abstract: This paper addresses the invariant $ \mathcal {[K,KL]} $ [K,KL] sector as a special class of $ \mathcal {[K,KL]} $ [K,KL] sector that holds the invariant characteristics with some appropriate control input, i.e. the energy of the system drastically decreases and state trajectory always remains inside the sector once it moves into it by the suitable control signal. The analysis of the nonlinear sector is regarded in comparison function prospective to outreach the property of uniformity. Here, the construction of $ \mathcal {[K,KL]} $ [K,KL] sector and invariant $ \mathcal {[K,KL]} $ [K,KL] sector relies on the selection of well-suited control-Lyapunov function. The switching control with invariant $ \mathcal {[K,KL]} $ [K,KL] sector is designed to ensure the state trajectories move inside the nonlinear sector in finite-time and stay inside for all future time. Finally, the effectiveness of the proposed algorithm is illustrated with real physical examples. Journal: International Journal of Systems Science Pages: 3339-3350 Issue: 15 Volume: 53 Year: 2022 Month: 11 X-DOI: 10.1080/00207721.2022.2081373 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2081373 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:15:p:3339-3350 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2079752_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Swapnil Tripathi Author-X-Name-First: Swapnil Author-X-Name-Last: Tripathi Author-Name: Nikita Agarwal Author-X-Name-First: Nikita Author-X-Name-Last: Agarwal Title: Stability of bimodal planar switched linear systems with both stable and unstable subsystems Abstract: We study dynamics of a bimodal planar linear switched system with a Hurwitz stable and an unstable subsystem. For given flee time from the unstable subsystem, the goal is to find corresponding dwell time in the Hurwitz stable subsystem so that the switched system is asymptotically stable. The dwell-flee relations obtained are in terms of certain smooth functions of the eigenvalues and (generalised) eigenvectors of the subsystem matrices. The results are extended to a special class of symmetric bilinear systems. The results are also extended to a multimodal planar linear switched system in which the switching is governed by an undirected star graph, where the internal node corresponds to a Hurwitz stable (unstable, respectively) subsystem and all the leaves correspond to unstable (Hurwitz stable, respectively) subsystems. For this multimodal system, dwell-flee relations are obtained as solutions of a minimax optimisation problem. Journal: International Journal of Systems Science Pages: 3254-3285 Issue: 15 Volume: 53 Year: 2022 Month: 11 X-DOI: 10.1080/00207721.2022.2079752 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2079752 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:15:p:3254-3285 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2076175_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Zhiyu Duan Author-X-Name-First: Zhiyu Author-X-Name-Last: Duan Author-Name: Airong Wei Author-X-Name-First: Airong Author-X-Name-Last: Wei Author-Name: Xianfu Zhang Author-X-Name-First: Xianfu Author-X-Name-Last: Zhang Author-Name: Rui Mu Author-X-Name-First: Rui Author-X-Name-Last: Mu Title: Observer-based formation tracking control for feedforward nonlinear multi-agent systems with dead-zone input Abstract: In this paper, the formation tracking control problem is addressed for feedforward nonlinear multi-agent systems with dead-zone input. For each follower, a dynamic observer is constructed by the output information of itself and its neighbours. Based on the observer, a distributed control protocol is designed with a bounded time-varying gain to achieve the formation tracking between each follower and the leader. It should be pointed out that the control protocol has fewer communication variables and simpler structure, while improving the convergence speed and transient performance of system. In addition, the results are extended to the feedback nonlinear multi-agent systems. Finally, a practical example is performed for nonlinear liquid level resonant circuit system to demonstrate the feasibility of the control protocol proposed. Journal: International Journal of Systems Science Pages: 3215-3225 Issue: 15 Volume: 53 Year: 2022 Month: 11 X-DOI: 10.1080/00207721.2022.2076175 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2076175 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:15:p:3215-3225 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2076953_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: M. G. Farajzadeh Devin Author-X-Name-First: M. G. Author-X-Name-Last: Farajzadeh Devin Author-Name: S. K. Hosseini Sani Author-X-Name-First: S. K. Author-X-Name-Last: Hosseini Sani Title: Two-loop robust model predictive control with improved tube for industrial applications Abstract: In this paper, a two-loop Model Predictive Controller (MPC) with an improved tube is proposed for industrial application with bounded uncertainties subject to input and state constraints. This scheme attempts to remove some existing obstacles against exploiting MPC in industrial applications, such as (i) risk and cost of a new controller replacement, (ii) difficulties of attaining a precise open-loop model of an industrial system and (iii) high computational burden of MPC methods. To this end, tube conservatism and calculation burden are reduced using the transient response of the error dynamics. Thus the feasible region of the MPC is enlarged and its computation time is reduced. To reduce modelling difficulties, the investigated approach does not require the open-loop model dynamics of the system and utilises the closed-loop model instead. On the other hand, it allows the existing inner-loop controller to remain unchanged without any manipulations, which results in eliminating a new controller replacement risk and cost. Additionally, for the proposed control method, robust stability and recursive feasibility are guaranteed without terminal gradients. Finally, an illustrative example is carried out in the simulation results to show the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 3242-3253 Issue: 15 Volume: 53 Year: 2022 Month: 11 X-DOI: 10.1080/00207721.2022.2076953 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2076953 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:15:p:3242-3253 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2083258_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Mario Lefebvre Author-X-Name-First: Mario Author-X-Name-Last: Lefebvre Author-Name: Peiman Pazhoheshfar Author-X-Name-First: Peiman Author-X-Name-Last: Pazhoheshfar Title: An optimal control problem for the maintenance of a machine Abstract: A controlled discrete-time stochastic process is proposed as a model for the state of a machine. In the proposed model, normal and random wear of the machine are considered. The random wear of the machine during a time unit can be either a discrete or a continuous random variable. The objective is to find a control policy that maximises the profits generated by the machine over its useful lifetime. In this problem, the optimiser must decide whether to do or not to do the maintenance work on the machine at each time unit. The significance of the paper is that the final time in the optimal control problem is a random variable denoting the first time the machine must be replaced. To obtain the optimal control, one can try to solve the dynamic programming equation, which reduces to a difference or an integral equation, satisfied by the value function. Finally, particular cases are solved exactly, or approximately, and explicitly to demonstrate and validate the proposed model. Journal: International Journal of Systems Science Pages: 3364-3373 Issue: 15 Volume: 53 Year: 2022 Month: 11 X-DOI: 10.1080/00207721.2022.2083258 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2083258 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:15:p:3364-3373 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2070795_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Peilin Yu Author-X-Name-First: Peilin Author-X-Name-Last: Yu Author-Name: Feiqi Deng Author-X-Name-First: Feiqi Author-X-Name-Last: Deng Author-Name: Fangzhe Wan Author-X-Name-First: Fangzhe Author-X-Name-Last: Wan Author-Name: Xiongding Liu Author-X-Name-First: Xiongding Author-X-Name-Last: Liu Title: pth moment polynomial input-to-state stability of switched neutral pantograph stochastic hybrid systems with Lévy noise Abstract: This article discusses pth ( $ p\geq 1 $ p≥1) moment polynomial integral input-to-state stability (iISS) and $ (t+1)^{\theta _0} $ (t+1)θ0-weighted integral input-to-state stability ( $ (t+1)^{\theta _0} $ (t+1)θ0-weighted iISS) of the switched neutral pantograph stochastic hybrid systems with Lévy noise (SNPSHSs-LN) provided that all dynamical subsystems are input-to-state stability (ISS). Under the linear growth hypothesis, the criteria of ISS-type characterisation are deduced by using random analysis techniques, Lyapunov stability theory and some useful inequality techniques on the basis of the dynamic conditions of the system itself, which is an improvement on existing results about neutral systems. Finally, the theoretical results are demonstrated with a numerical example. Journal: International Journal of Systems Science Pages: 3145-3153 Issue: 15 Volume: 53 Year: 2022 Month: 11 X-DOI: 10.1080/00207721.2022.2070795 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2070795 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:15:p:3145-3153 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2076174_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Bo Yang Author-X-Name-First: Bo Author-X-Name-Last: Yang Author-Name: Huaicheng Yan Author-X-Name-First: Huaicheng Author-X-Name-Last: Yan Author-Name: Lu Zeng Author-X-Name-First: Lu Author-X-Name-Last: Zeng Author-Name: Xisheng Zhan Author-X-Name-First: Xisheng Author-X-Name-Last: Zhan Author-Name: Kaibo Shi Author-X-Name-First: Kaibo Author-X-Name-Last: Shi Title: Decoupled design of distributed event-triggered circle formation control for multi-agent system Abstract: In this paper, the problem of circle formation of multi-agent system in a plane is investigated. Inspired by the idea of decouple design, we decompose the overall control objective into two sub-goals, the first one is circle forming that agents need to move to a circle with a desired radius and centred on a predefined target, and the second one is space adjustment that each agent form and maintain a desired relative position with its neighbours. Since the completion of the second objective requires information from neighbouring agents, a distributed event-triggered controller is proposed to save communication resources and reduce the number of controller updates, which consists of two parts corresponding to two sub-goals. Furthermore, it is proved that there exists no Zeno behaviour under the proposed control laws. Finally, a numerical simulation verifies the effectiveness of the distributed event-triggered circle formation controller proposed in this paper. Journal: International Journal of Systems Science Pages: 3205-3214 Issue: 15 Volume: 53 Year: 2022 Month: 11 X-DOI: 10.1080/00207721.2022.2076174 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2076174 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:15:p:3205-3214 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2085343_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Xuan Cai Author-X-Name-First: Xuan Author-X-Name-Last: Cai Author-Name: Chaoli Wang Author-X-Name-First: Chaoli Author-X-Name-Last: Wang Author-Name: Shuxin Liu Author-X-Name-First: Shuxin Author-X-Name-Last: Liu Author-Name: Guochu Chen Author-X-Name-First: Guochu Author-X-Name-Last: Chen Author-Name: Gang Wang Author-X-Name-First: Gang Author-X-Name-Last: Wang Title: Optimal output tracking control of linear discrete-time systems with unknown dynamics by adaptive dynamic programming and output feedback Abstract: This paper discusses the output-feedback-based model-free optimal output tracking control problem of discrete-time systems with completely unknown system models under mild assumptions. The only information that allows utilisation is the system output and the reference output. To overcome these challenges, the paper aims to solve a model-free optimal output regulation problem for achieving optimal output tracking control; solving an optimal output regulation problem is equivalent to solving a linear quadratic regulation (LQR) problem and a constrained static optimisation problem. The state reconstruction is first given to represent the system state in terms of the input and output sequences. A data-driven value iteration (VI) algorithm is then proposed to iteratively approximate the solution to the discrete-time algebraic Riccati equation (ARE) of the corresponding LQR problem on the basis of input and output data. Next, based on the iterative solutions with respect to the ARE, a model-free solution is provided for the corresponding constrained static optimisation problem. Finally, an alternative reference system equivalent to the original reference system is established to avoid the requirement of having the knowledge of the reference system dynamics and the reference state. A numerical example is employed to demonstrate the effectiveness of the proposed control scheme. Journal: International Journal of Systems Science Pages: 3426-3448 Issue: 16 Volume: 53 Year: 2022 Month: 12 X-DOI: 10.1080/00207721.2022.2085343 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2085343 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:16:p:3426-3448 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2093419_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Wen-Hua Chen Author-X-Name-First: Wen-Hua Author-X-Name-Last: Chen Title: Stability of finite horizon optimisation based control without terminal weight Abstract: This paper presents a stability analysis tool for model predictive control (MPC) where control action is generated by optimising a cost function over a finite horizon. Stability analysis of MPC with a limited horizon but without terminal weight is a well-known challenging problem. We define a new value function based on an auxiliary one-step optimisation related to stage cost, namely optimal one-step value function (OSVF). It is shown that a finite horizon MPC can be made to be asymptotically stable if OSVF is a (local) control Lyapunov function (CLF). More specifically, by exploiting the CLF property of OSFV to construct a contractive terminal set, a new stabilising MPC algorithm (CMPC) is proposed. We show that CMPC is recursively feasible and guarantees stability under the condition that OSVF is a CLF. Checking this condition and estimation of the maximal terminal set are discussed. Numerical examples are presented to demonstrate the effectiveness of the proposed stability condition and corresponding CMPC algorithm. Journal: International Journal of Systems Science Pages: 3524-3537 Issue: 16 Volume: 53 Year: 2022 Month: 12 X-DOI: 10.1080/00207721.2022.2093419 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2093419 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:16:p:3524-3537 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2083259_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Trung Thanh Cao Author-X-Name-First: Trung Author-X-Name-Last: Thanh Cao Author-Name: Phuoc Doan Nguyen Author-X-Name-First: Phuoc Author-X-Name-Last: Doan Nguyen Author-Name: Nam Hoai Nguyen Author-X-Name-First: Nam Author-X-Name-Last: Hoai Nguyen Author-Name: Ha Thu Nguyen Author-X-Name-First: Ha Author-X-Name-Last: Thu Nguyen Title: An indirect iterative learning controller for nonlinear systems with mismatched uncertainties and matched disturbances Abstract: The article proposes an intelligent controller for output regulation of nonlinear non-autonomous continuous-time systems with mismatched uncertainties and matched disturbances. This controller is established by firstly converting the original system into an input-to-state stable one via learning-based compensation of lumped system disturbances and then applying the standard P-type iterative learning control. The learning-based disturbance compensator is basically created with the numerical backward differentiation in iterative mode. The control performance of the obtained sampled data system using the proposed controller has been verified throughout both in theory and comparison with the existing method via numerical simulations. Journal: International Journal of Systems Science Pages: 3375-3389 Issue: 16 Volume: 53 Year: 2022 Month: 12 X-DOI: 10.1080/00207721.2022.2083259 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2083259 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:16:p:3375-3389 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2093418_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Xiuping Yang Author-X-Name-First: Xiuping Author-X-Name-Last: Yang Author-Name: Yajian Zhang Author-X-Name-First: Yajian Author-X-Name-Last: Zhang Author-Name: Chen Peng Author-X-Name-First: Chen Author-X-Name-Last: Peng Title: Adaptive event-triggered scheme for load frequency control of smart grid under DoS attacks Abstract: This paper studies the load frequency control (LFC) problem of smart grids under aperiodic denial-of-service (DoS) attacks. First, a switching observer model is constructed to deal with the unavailability of system status. Second, an adaptive event-triggered LFC scheme is proposed, which effectively reduces the update frequency of control signals and reduces the impact of aperiodic DoS attacks simultaneously. Third, by considering the impact of DoS attacks and event-triggered mechanisms at the same time, the system is modelled as a switching model. Then, by constructing a suitable piecewise Lyapunov functional, sufficient conditions are derived to ensure the exponential stability of the system with $ {H_\infty } $ H∞ performance. In addition, the joint design method of observer and controller is also developed. Finally, a single-area power system is taken as an example to verify the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 3508-3523 Issue: 16 Volume: 53 Year: 2022 Month: 12 X-DOI: 10.1080/00207721.2022.2093418 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2093418 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:16:p:3508-3523 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2093420_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Hongjun Zhang Author-X-Name-First: Hongjun Author-X-Name-Last: Zhang Author-Name: Chi Zhang Author-X-Name-First: Chi Author-X-Name-Last: Zhang Author-Name: Jie Dong Author-X-Name-First: Jie Author-X-Name-Last: Dong Author-Name: Kaixiang Peng Author-X-Name-First: Kaixiang Author-X-Name-Last: Peng Title: A new key performance indicator oriented industrial process monitoring and operating performance assessment method based on improved Hessian locally linear embedding Abstract: The industrial process monitoring and operating performance assessment techniques are of great significance to ensure the safety and efficiency of the production and to improve the comprehensive economic benefits for the modern enterprises. In this paper, a new key performance indicator (KPI) oriented nonlinear process monitoring and operating performance assessment method is proposed based on the improved Hessian locally linear embedding (HLLE), in view of the problems of strong nonlinearity, high dimension and information redundancy in actual industrial process data. Firstly, in order to characterise the similarities of samples in both temporal and spatial dimensions, a new measurement, based on Finite Markov theory, is defined to replace the Euclidean distance in traditional HLLE. Secondly, by mining the relationships between process variables and the key performance indicator, the KPI oriented feature extraction method is developed. On this basis, the monitoring statistics is constructed and the corresponding control limit is determined for the real-time fault detection. After that, a new operating performance assessment approach based on sliding window Kullback–Leibler divergence is put forward to facilitate maintenance or adjustments. Finally, the proposed method is applied to the hot strip mill process, and the results show the effectiveness. Journal: International Journal of Systems Science Pages: 3538-3555 Issue: 16 Volume: 53 Year: 2022 Month: 12 X-DOI: 10.1080/00207721.2022.2093420 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2093420 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:16:p:3538-3555 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2090639_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Vojtech Veselý Author-X-Name-First: Vojtech Author-X-Name-Last: Veselý Author-Name: Jana Paulusová Author-X-Name-First: Jana Author-X-Name-Last: Paulusová Author-Name: Vladimír Kučera Author-X-Name-First: Vladimír Author-X-Name-Last: Kučera Title: Decentralised controller design for a large-scale linear discrete-time polytopic uncertain systems Abstract: One of the great challenges to control theory is to design controllers for the increasing size of uncertain large-scale systems. Such problems arise in many real-word applications and the systems are too large and too complex to be centralised controlled. For these reasons, the complex system is split into several interconnected subsystems and it is controlled in a decentralized fashion. In this article, a novel, original approach to the control of large-scale uncertain linear discrete-time systems by a decentralised controller is presented. In the existing references, such systems are divided into two groups: complex systems with strong or weak interactions. However, the new proposed approach depends on whether the system is stable or not. The design procedure consists of two steps: In the first step, the dynamic properties of the closed-loop decentralised controlled subsystems are determined in such a way that the stability, robustness, and performance of the closed-loop subsystems and the entire system are guaranteed. In the second step, a decentralised control algorithm must be designed that ensures the required properties of the subsystems that have been obtained in the first step. The advantage of this approach is that the decentralized controller design is performed on the subsystem level. Journal: International Journal of Systems Science Pages: 3496-3507 Issue: 16 Volume: 53 Year: 2022 Month: 12 X-DOI: 10.1080/00207721.2022.2090639 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2090639 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:16:p:3496-3507 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2090638_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Rajesh Dhayal Author-X-Name-First: Rajesh Author-X-Name-Last: Dhayal Author-Name: J. F. Gómez-Aguilar Author-X-Name-First: J. F. Author-X-Name-Last: Gómez-Aguilar Author-Name: J. Torres-Jiménez Author-X-Name-First: J. Author-X-Name-Last: Torres-Jiménez Title: Stability analysis of Atangana–Baleanu fractional stochastic differential systems with impulses Abstract: This paper is devoted to exploring a new class of Atangana–Baleanu fractional stochastic differential systems driven by fractional Brownian motion with non-instantaneous impulsive effects. Using resolvent family, fixed point technique, and fractional calculus, we analysed the existence and uniqueness of the mild solution. Moreover, we discussed the stability criteria for the proposed problem. A numerical example is given to illustrate the theoretical results. Journal: International Journal of Systems Science Pages: 3481-3495 Issue: 16 Volume: 53 Year: 2022 Month: 12 X-DOI: 10.1080/00207721.2022.2090638 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2090638 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:16:p:3481-3495 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2143735_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Zhong-Hua Pang Author-X-Name-First: Zhong-Hua Author-X-Name-Last: Pang Author-Name: Lan-Zhi Fan Author-X-Name-First: Lan-Zhi Author-X-Name-Last: Fan Author-Name: Haibin Guo Author-X-Name-First: Haibin Author-X-Name-Last: Guo Author-Name: Yuntao Shi Author-X-Name-First: Yuntao Author-X-Name-Last: Shi Author-Name: Runqi Chai Author-X-Name-First: Runqi Author-X-Name-Last: Chai Author-Name: Jian Sun Author-X-Name-First: Jian Author-X-Name-Last: Sun Author-Name: Guo-Ping Liu Author-X-Name-First: Guo-Ping Author-X-Name-Last: Liu Title: Security of networked control systems subject to deception attacks: a survey Abstract: A networked control system (NCS), which integrates various physical components by utilising communication networks, is a complex intelligent control system with high flexibility and reliability. It has been widely applied in various areas, such as power grids, intelligent transportation, and smart manufacturing. However, compared with traditional control systems, NCSs expose more extra vulnerabilities with the openness of communication networks, leading to long-term concerns for the security of NCSs against cyber attacks. This paper gives a survey in detail on recent developments on the security of NCSs subject to deception attacks from the two domains of information technology (IT) and system control, respectively. First, several security incidents reported in recent years are reviewed and a couple of prevailing cyber attacks are analysed. Besides, the results on IT security with respect to the protection-detection-reaction model are summarised. Then, from the domain of system control, the security issues on attack design, attack detection, secure state estimation and resilient control are surveyed in depth. Furthermore, several novel security topics from the combination of IT and system control are also discussed. Finally, several future research directions are presented on this topic. Journal: International Journal of Systems Science Pages: 3577-3598 Issue: 16 Volume: 53 Year: 2022 Month: 12 X-DOI: 10.1080/00207721.2022.2143735 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2143735 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:16:p:3577-3598 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2090635_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Zhaoxia Duan Author-X-Name-First: Zhaoxia Author-X-Name-Last: Duan Author-Name: Yuchen Han Author-X-Name-First: Yuchen Author-X-Name-Last: Han Author-Name: Zhengrong Xiang Author-X-Name-First: Zhengrong Author-X-Name-Last: Xiang Author-Name: Imran Ghous Author-X-Name-First: Imran Author-X-Name-Last: Ghous Title: On l1-gain control for 2D delayed positive systems in FM LSS models: necessary and sufficient conditions Abstract: This paper presents an $ l_{1} $ l1-gain control design for two-dimensional (2D) delayed positive systems (PSs) in the Fornasini-Marchesini local state-space model. First, for a stable 2D delayed PS, the necessary and sufficient conditions are derived for the calculation of the exact value of the $ l_{1} $ l1-gain. Then, the controller design is given with the aid of the singular value decomposition method, which ensures that the closed-loop system is asymptotically stable at the specified $ l_{1} $ l1-gain level. In the end, two examples are provided to identify the validity and correctness of the results of the theory. Journal: International Journal of Systems Science Pages: 3449-3464 Issue: 16 Volume: 53 Year: 2022 Month: 12 X-DOI: 10.1080/00207721.2022.2090635 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2090635 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:16:p:3449-3464 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2090637_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Yang Liu Author-X-Name-First: Yang Author-X-Name-Last: Liu Author-Name: Dongmei Xie Author-X-Name-First: Dongmei Author-X-Name-Last: Xie Author-Name: Lin Shi Author-X-Name-First: Lin Author-X-Name-Last: Shi Author-Name: Lingling Yao Author-X-Name-First: Lingling Author-X-Name-Last: Yao Title: The effect of reverse edges on convergence rate of directed weighted chain network Abstract: For a multi-agent system (MAS) with a directed weighted chain graph, this article studies the effect of adding reverse edges on its convergence rate. The introduction of weights leads to our research being more complex and challenging. Firstly, for the case of one reverse edge, there are two completely opposite conclusions about the effect of adding one reverse edge on the convergence rate under certain conditions, which is dependent on whether the end node of the reverse edge is the root node of the chain graph or not. Subsequently, we discuss the relative positions of two reverse edges in three cases and obtain the convergence rate of the whole network is determined by the ranges, the relative positions of these two reverse edges, and the sizes and distribution of weights in the directed weighted graph. Moreover, as the number of reverse edges increases, we overcome the complex relationships among multiple reverse edges and establish similar theories. Finally, some numerical examples are given to illustrate our main theorems. Our results generalise the results from unweighted directed graph to a weighted directed graph. Journal: International Journal of Systems Science Pages: 3465-3480 Issue: 16 Volume: 53 Year: 2022 Month: 12 X-DOI: 10.1080/00207721.2022.2090637 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2090637 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:16:p:3465-3480 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2083260_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Fuqiang Li Author-X-Name-First: Fuqiang Author-X-Name-Last: Li Author-Name: Kang Li Author-X-Name-First: Kang Author-X-Name-Last: Li Author-Name: Chen Peng Author-X-Name-First: Chen Author-X-Name-Last: Peng Author-Name: Lisai Gao Author-X-Name-First: Lisai Author-X-Name-Last: Gao Title: Event-triggered output feedback dissipative control of nonlinear systems under DoS attacks and actuator saturation Abstract: This paper presents a novel event-triggered dynamic output feedback dissipative control of nonlinear systems under intermittent denial-of-service (DoS) attacks and actuator saturation. Firstly, based on attack information, a secure event-triggered mechanism (ETM) is introduced, which not only saves systems resources but also is Zeno-free and resilient to DoS attacks. Secondly, a switched T–S fuzzy closed-loop system model is built, which unifies the parameters of nonlinear plant, noises, ETM, DoS attacks, switched output feedback fuzzy controller, and actuator saturation all in one framework. Thirdly, low conservative exponential stability criteria are derived while guaranteeing strict $ (\mathcal {G} $ (G, $ \mathcal {H} $ H, $ \mathcal {I}) $ I)-dissipativity, and hence the relationships between system performance and factors such as DoS attacks, secure ETM, noises and actuator saturation are established. Further, sufficient conditions are given for the co-design of the switched output-based fuzzy controller and the secure ETM. Finally, the effectiveness of the proposed method is confirmed by numerical examples, achieving over 92% system resources. Journal: International Journal of Systems Science Pages: 3390-3407 Issue: 16 Volume: 53 Year: 2022 Month: 12 X-DOI: 10.1080/00207721.2022.2083260 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2083260 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:16:p:3390-3407 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2083262_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Han Li Author-X-Name-First: Han Author-X-Name-Last: Li Author-Name: Peishu Wu Author-X-Name-First: Peishu Author-X-Name-Last: Wu Author-Name: Nianyin Zeng Author-X-Name-First: Nianyin Author-X-Name-Last: Zeng Author-Name: Yurong Liu Author-X-Name-First: Yurong Author-X-Name-Last: Liu Author-Name: Fuad E. Alsaadi Author-X-Name-First: Fuad E. Author-X-Name-Last: Alsaadi Title: A survey on parameter identification, state estimation and data analytics for lateral flow immunoassay: from systems science perspective Abstract: Lateral flow immunoassay (LFIA), as a well-known point-of-care testing (POCT) technique, is of vital significance in a variety of application scenarios due to the advantages of convenience and high efficiency. With rapid development of computational intelligence (CI), algorithms have played an important role in enhancing LFIA performance, and it is necessary to summary how algorithms can assist LFIA improvement for providing experiences. However, most existing works on LFIA are from biochemical field which pay more attention to material and reagent. Therefore, in this paper, a systematical survey is proposed to review works on applying mathematical tools to promote LFIA development. Particularly, a novel two-level taxonomy is designed for a better inspection, including LFIA-oriented mathematical modelling, CI-assisted post-processing and quantification in LFIA, and each level is further subdivided for in-depth understanding. In addition, from a higher viewpoint, outlooks of jointly developing POCT with other state-of-the-art techniques are presented from perspectives of implementation principle, technical approach and algorithm application. Moreover, this survey aims to highlight that applying CI methods is competent for boosting POCT development, so as to raise attentions from more areas like information science, extend deeper researches and inspire more interdisciplinary works. Journal: International Journal of Systems Science Pages: 3556-3576 Issue: 16 Volume: 53 Year: 2022 Month: 12 X-DOI: 10.1080/00207721.2022.2083262 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2083262 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:16:p:3556-3576 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2083261_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Miao Cai Author-X-Name-First: Miao Author-X-Name-Last: Cai Author-Name: Xiao He Author-X-Name-First: Xiao Author-X-Name-Last: He Author-Name: Donghua Zhou Author-X-Name-First: Donghua Author-X-Name-Last: Zhou Title: Performance-improved finite-time fault-tolerant control for linear uncertain systems with intermittent faults: an overshoot suppression strategy Abstract: This paper presents a novel prespecified finite-time and overshoot-restrained fault-tolerant tracking control scheme to compensate the intermittent faults in linear uncertain systems. Starting from the system tracking error dynamics model, we design a speed excitation function to improve the response speed of the control. A finite-time performance index function is established in the zero-sum game framework for the fault-free $ \mathcal {H}_{\infty } $ H∞ optimal control policy. Based on Lyapunov stability theory, a fault compensation oriented fault estimation and diagnosis method is proposed to ensure the uniformly ultimately bounded stability of tracking errors. It is noteworthy that the proposed speeding fault-tolerant control can accelerate the trajectory tracking, narrow the upper bound of tracking errors and restrain the overshoot. Numerical and practical experiments fully illustrate the effectiveness of the proposed strategy. Journal: International Journal of Systems Science Pages: 3408-3425 Issue: 16 Volume: 53 Year: 2022 Month: 12 X-DOI: 10.1080/00207721.2022.2083261 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2083261 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:53:y:2022:i:16:p:3408-3425 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2096939_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Xuan-Zhi Zhu Author-X-Name-First: Xuan-Zhi Author-X-Name-Last: Zhu Author-Name: David Cabecinhas Author-X-Name-First: David Author-X-Name-Last: Cabecinhas Author-Name: Wei Xie Author-X-Name-First: Wei Author-X-Name-Last: Xie Author-Name: Pedro Casau Author-X-Name-First: Pedro Author-X-Name-Last: Casau Author-Name: Carlos Silvestre Author-X-Name-First: Carlos Author-X-Name-Last: Silvestre Author-Name: Pedro Batista Author-X-Name-First: Pedro Author-X-Name-Last: Batista Author-Name: Paulo Oliveira Author-X-Name-First: Paulo Author-X-Name-Last: Oliveira Title: Kalman–Bucy filter-based tracking controller design and experimental validations for a quadcopter with parametric uncertainties and disturbances Abstract: This paper addresses the problem of trajectory tracking for a quadcopter subject to parametric uncertainties and disturbances. Using the backstepping technique and ignoring parametric uncertainties and disturbances, a nominal controller is proposed for the quadcopter. In order to ensure that the controller is adaptive to parametric uncertainties (i.e. unknown but constant mass and tensor of inertia) and external disturbances, an exponentially stable estimator is designed based on the Kalman–Bucy filter. The closed-loop system resulting from the interconnection of the plant, the controller, and the estimator is such that the backstepping error is uniformly ultimately bounded. Furthermore, simulation and experimental results are presented, validating the stability and robustness properties of the proposed control strategy. Journal: International Journal of Systems Science Pages: 17-41 Issue: 1 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2096939 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2096939 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:1:p:17-41 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2097332_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Zibao Lu Author-X-Name-First: Zibao Author-X-Name-Last: Lu Author-Name: Ge Guo Author-X-Name-First: Ge Author-X-Name-Last: Guo Title: Control and communication scheduling co-design for networked control systems: a survey Abstract: Communication and control are two intensively coupled aspects in a networked control system (NCS), the design of one may affect the quality or performance of the other. The co-design problem of control and communication scheduling for NCSs has attracted tremendous attention. This paper provides an overview of recent advances in control and scheduling co-design for networked control systems. First, a basic framework of control and scheduling co-design problem setup is established. Second, representative results and methodologies reported in the literature are reviewed and some in-depth analysis and discussions are given, along the lines of the scheduling schemes including static scheduling, dynamic scheduling, and random scheduling. Finally, some unsettled issues and trending topics in this direction are outlined for future research. Journal: International Journal of Systems Science Pages: 189-203 Issue: 1 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2097332 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2097332 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:1:p:189-203 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2111236_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Wei Wang Author-X-Name-First: Wei Author-X-Name-Last: Wang Author-Name: Xin Chen Author-X-Name-First: Xin Author-X-Name-Last: Chen Author-Name: Jianhua Du Author-X-Name-First: Jianhua Author-X-Name-Last: Du Title: Model-free finite-horizon optimal control of discrete-time two-player zero-sum games Abstract: Conventionally, as the system dynamics is known, the finite-horizon optimal control of zero-sum games relies on solving the time-varying Riccati equations. In this paper, with unknown system dynamics being considered, a Q-function-based finite-horizon control method is introduced to approximate the solutions of the time-varying Riccati equations. First, a time-varying Q-function explicitly dependent on the time-varying control and disturbance is defined. Then the defined time-varying Q-function is utilised to represent the time-varying control and disturbance which are equivalent to the solutions of the time-varying Riccati equations by relaxing the system dynamics. Finally, a model-free method is introduced to approximate the defined time-varying Q-function. Simulation studies are conducted to demonstrate the validity of the developed method. Journal: International Journal of Systems Science Pages: 167-179 Issue: 1 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2111236 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2111236 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:1:p:167-179 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2104401_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Li-Juan Cai Author-X-Name-First: Li-Juan Author-X-Name-Last: Cai Author-Name: Xiao-Heng Chang Author-X-Name-First: Xiao-Heng Author-X-Name-Last: Chang Title: Reduced-order filtering for discrete-time singular systems under fading channels Abstract: In this paper, the reduced-order $ \mathcal {H}_\infty $ H∞ filtering problem for discrete-time singular systems under fading channels is studied. Our aim is to design a reduced-order filter to ensure the filtering error system with fading measurements is stochastically admissible and meets the given performance index. And the designed method is less conservative. However, the standard linear matrix inequality (LMI) cannot be obtained due to the nonlinear terms in decoupling. For this purpose, a new LMI is obtained by using new decoupling method. Finally, numerical example and electrical circuit example are given to clearly illustrate that the proposed method is less conservative than that of the existing method. Journal: International Journal of Systems Science Pages: 99-112 Issue: 1 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2104401 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2104401 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:1:p:99-112 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2096941_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Hui Yu Author-X-Name-First: Hui Author-X-Name-Last: Yu Author-Name: Wei Yang Author-X-Name-First: Wei Author-X-Name-Last: Yang Author-Name: Dongyan Chen Author-X-Name-First: Dongyan Author-X-Name-Last: Chen Author-Name: Zhihui Wu Author-X-Name-First: Zhihui Author-X-Name-Last: Wu Title: H∞ state-feedback control for saturated 2-D Roesser systems: the event-triggered case Abstract: This work discusses the $ H_{\infty } $ H∞ state-feedback control issue for a class of state saturated two-dimensional (2-D) Roesser systems under the event-triggered mechanism. Here, the state saturation is considered to cater the practical situation. First, an event-triggered strategy is exploited to make use of resources rationally in the communication network with finite capacity. Based on the Lyapunov method, the sufficient criterion is presented to achieve the desired $ H_{\infty } $ H∞ performance of the corresponding closed-loop saturated 2-D system and the existence of event-triggered state-feedback (ET-SF) controller is ensured. Particularly, a positive scalar is introduced to cope with the state saturation term. With the aid of sufficient criterion and cone complementary linearisation (CCL) algorithm, the design problem of ET-SF controller can further be transformed into seeking the feasible solution to linear matrix inequalities. Eventually, a simulation example is implemented to reveal the usefulness of the presented control scheme. Journal: International Journal of Systems Science Pages: 59-72 Issue: 1 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2096941 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2096941 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:1:p:59-72 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2111235_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Liang Qiao Author-X-Name-First: Liang Author-X-Name-Last: Qiao Author-Name: Jian Huang Author-X-Name-First: Jian Author-X-Name-Last: Huang Title: Admissibility and admissibilization for T–S fuzzy descriptor systems with partially unknown membership functions Abstract: In this paper, the admissibility analysis and controller design issues for a class of nonlinear descriptor systems described by the T–S descriptor fuzzy model with partially unknown membership functions are discussed. New sufficient conditions are first given to ensure the admissibility of such fuzzy descriptor systems. To fully utilise the information of membership functions, the known and unknown parts of membership functions are handled by staircase functions and the bounds of the unknown part, respectively. Different from the traditional parallel distribution compensation (PDC) method, the state-feedback controller design condition is given under an imperfect premise matching method via linear matrix inequalities (LMIs). Some examples are given to show the validity of the proposed methods. Journal: International Journal of Systems Science Pages: 153-166 Issue: 1 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2111235 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2111235 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:1:p:153-166 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2104952_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Mehdi Rahmani Author-X-Name-First: Mehdi Author-X-Name-Last: Rahmani Author-Name: Zahra Shams Author-X-Name-First: Zahra Author-X-Name-Last: Shams Title: Robust L11 observer design and circuit implementation for a class of faulty nonlinear systems Abstract: This paper presents a novel method to design a robust $ \mathcal {L}_1 $ L1 observer and its circuit implementation for the problems of fault diagnosis and state estimation in nonlinear systems expressed by Takagi–Sugeno models. The proposed observer is able to estimate states of system, process/actuator and sensor faults at the same time, and also has a high resistance to disturbances. The sufficient conditions to design the proposed observer such that ensuring the stability of the system based on to the Lyapunov theory and minimising an $ \mathcal {L}_1 $ L1 performance index are given by Linear Matrix Inequality (LMI) optimisation problems. Moreover, the circuit implementation of the Van der Pol system and the proposed observer scheme is provided in detail. Also, the simulation results validate the effectiveness of the proposed $ \mathcal {L}_1 $ L1 observer and fault diagnosis approach. Journal: International Journal of Systems Science Pages: 113-123 Issue: 1 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2104952 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2104952 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:1:p:113-123 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2096940_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Jiamin Liu Author-X-Name-First: Jiamin Author-X-Name-Last: Liu Author-Name: Zhao-Yan Li Author-X-Name-First: Zhao-Yan Author-X-Name-Last: Li Title: Asymptotic behaviour analysis of stochastic functional differential equations with semi-Markovian switching signal Abstract: In this paper, we develop the moment and almost-sure stability with a general decay rate for stochastic functional differential equations with semi-Markovian switching signal (SFDESMS). We first present a new equivalent concept of moment stability with general decay rate and its implication to almost-sure stability with general decay rate. Subsequently, using the present equivalent concept and implication relationship, we formulate some explicit sufficient criteria of the moment and almost sure stability with general decay rate for SFDESMS. In addition, we consider the application of our results to two special classes of SFDESMS and obtain the moment and almost-sure stability with general decay rate for two special classes of SFDESMS. At last, we illustrate the obtained theoretical results by numerical examples. Journal: International Journal of Systems Science Pages: 42-58 Issue: 1 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2096940 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2096940 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:1:p:42-58 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2153635_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Huiling Chen Author-X-Name-First: Huiling Author-X-Name-Last: Chen Author-Name: Chenyang Li Author-X-Name-First: Chenyang Author-X-Name-Last: Li Author-Name: Majdi Mafarja Author-X-Name-First: Majdi Author-X-Name-Last: Mafarja Author-Name: Ali Asghar Heidari Author-X-Name-First: Ali Asghar Author-X-Name-Last: Heidari Author-Name: Yi Chen Author-X-Name-First: Yi Author-X-Name-Last: Chen Author-Name: Zhennao Cai Author-X-Name-First: Zhennao Author-X-Name-Last: Cai Title: Slime mould algorithm: a comprehensive review of recent variants and applications Abstract: Slime Mould Algorithm (SMA) has recently received much attention from researchers because of its simple structure, excellent optimisation capabilities, and acceptable convergence in dealing with various types of complex real-world problems. this study aims to retrieve, identify, summarise and analyse critical studies related to SMA development. Based on this, 98 SMA-related studies in the Web of Science were retrieved, selected, and identified. The two main review vectors were advanced versions of SMAs and application domains. First, we counted and analysed various advanced versions of SMAs, summarised, classified, and discussed their improvement methods and directions. Secondly, we sort out the application domains of SMA and analyse the role, development status, and shortcomings of SMA in each domain. A survey based on the existing literature shows that SMAs clearly outperform some established metaheuristics in terms of speed and accuracy in handling various benchmark problems and solving multiple realistic optimization problems. This review not only suggests possible future directions in the field but, due to the inclusion of graphical and tabular comparisons of various properties, also provides future researchers with a comprehensive source of information about SMA and advanced versions of SAMs and the scope of adaptation for multiple application domains. Journal: International Journal of Systems Science Pages: 204-235 Issue: 1 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2153635 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2153635 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:1:p:204-235 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2093421_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Shuang Liang Author-X-Name-First: Shuang Author-X-Name-Last: Liang Author-Name: Jinling Liang Author-X-Name-First: Jinling Author-X-Name-Last: Liang Author-Name: Jianlong Qiu Author-X-Name-First: Jianlong Author-X-Name-Last: Qiu Title: Finite-time input-to-state stability of discrete-time stochastic switched systems: a comparison principle-based method Abstract: This paper studies the input-to-state stability (ISS) and the finite-time input-to-state stability issues for the discrete-time stochastic switched nonlinear systems with time-varying delay. Based on the improved vector-version comparison principle and by employing the stochastic analysis method, sufficient conditions are first derived to guarantee the discrete-time stochastic switched system to be finite-time input-to-state stable in mean and finite-time stochastic input-to-state stable. Then, the comparison principle is further utilised to establish the p-th moment ISS result. As an application, the mean-square ISS is analysed for the linear discrete-time stochastic switched system. At the end of the paper, two numerical examples are provided to illustrate the feasibility/effectiveness of the obtained results. Journal: International Journal of Systems Science Pages: 1-16 Issue: 1 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2093421 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2093421 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:1:p:1-16 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2110848_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Wei-Jie Zhou Author-X-Name-First: Wei-Jie Author-X-Name-Last: Zhou Author-Name: Min Long Author-X-Name-First: Min Author-X-Name-Last: Long Author-Name: Xiao-Zhen Liu Author-X-Name-First: Xiao-Zhen Author-X-Name-Last: Liu Author-Name: Kai-Ning Wu Author-X-Name-First: Kai-Ning Author-X-Name-Last: Wu Title: Passivity-based boundary control for stochastic delay reaction–diffusion systems Abstract: This paper considers the passivity-based boundary control for stochastic delay reaction–diffusion systems (SDRDSs) with boundary input–output. Delay-dependent sufficient conditions are obtained in the sense of expectation for SDRDSs by the use of Lyapunov functional method, for the input strict passivity and the output strict passivity, respectively. Then delay-dependent sufficient conditions are presented to ensure the uncertainty SDRDSs to achieve the robust passivity. Moreover, by utilising the techniques of Green formula and Poincare's inequality, the difficulty is handled caused by the boundary input and boundary controller. Besides, the troubles brought by the existence of the stochastic term and uncertain parameters are resolved by stochastic inequality techniques. Finally, numerical simulations are provided to show the validity of our theoretical results. Journal: International Journal of Systems Science Pages: 124-135 Issue: 1 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2110848 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2110848 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:1:p:124-135 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2103199_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Hao Wu Author-X-Name-First: Hao Author-X-Name-Last: Wu Author-Name: Shicheng Huo Author-X-Name-First: Shicheng Author-X-Name-Last: Huo Author-Name: Ya Zhang Author-X-Name-First: Ya Author-X-Name-Last: Zhang Title: Adaptive fully distributed anti-disturbance containment control for heterogeneous multi-agent systems Abstract: This paper studies the output containment control problem for heterogeneous multi-agent systems subject to unknown time-varying disturbances by designing fully distributed anti-disturbance control protocols. Fully distributed observers are designed to estimate convex combination of leader states, which are independent of any global information including global leaders' dynamics and global graph. There are external disturbances to contaminate the control inputs of the followers, which may damage the cooperation of the systems. Then adaptive anti-disturbance compensators are designed to eliminate the adverse effects of the external disturbances. Based on the proposed fully distributed observers and adaptive anti-disturbance compensators, adaptive anti-disturbance containment control protocols are provided to ensure that the output trajectories of each follower can converge to the dynamic convex hull spanned by the leader outputs. Finally, a numerical example and a practical example of heterogeneous mobile vehicles are given to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 73-86 Issue: 1 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2103199 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2103199 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:1:p:73-86 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2111234_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Ao Dun Author-X-Name-First: Ao Author-X-Name-Last: Dun Author-Name: Qianjiao Xu Author-X-Name-First: Qianjiao Author-X-Name-Last: Xu Author-Name: Fei Lei Author-X-Name-First: Fei Author-X-Name-Last: Lei Title: Finite frequency domain H∞ consensus control of neutral multi-agent systems with input delay Abstract: The finite frequency domain $ H_{\infty } $ H∞ consensus control problem of neutral multi-agent systems with the input delay is investigated in this paper for the first time. According to the linear transformation, the problem of $ H_{\infty } $ H∞ consensus is converted into a set of $ H_{\infty } $ H∞ stability problems. Through the Lyapunov theory, combined with the time-delay interval decomposition method, a less conservative controller design method for the state feedback controller is presented. And the obtained controller can ensure closed-loop multi-agent systems to fulfil the consensus. Utilizing the generalised Kalman-Yakubovich-Popov (GKYP) lemma, the sufficient condition is derived for multi-agent systems achieving the $ H_{\infty } $ H∞ performance in the finite frequency domain (FFD). Then, via the orthogonal spatial information of the input matrix, the conservativeness of obtained design approach is further declined. Moreover, the design method with less conservativeness is proposed for the dynamic output feedback controller. Finally, a numerical case and a multi-pendulum system controlled by the multi-motor system are presented in this paper to demonstrate the availability and applicability of the proposed methods. Journal: International Journal of Systems Science Pages: 136-152 Issue: 1 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2111234 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2111234 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:1:p:136-152 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2103200_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Zhengliang Zhai Author-X-Name-First: Zhengliang Author-X-Name-Last: Zhai Author-Name: Huaicheng Yan Author-X-Name-First: Huaicheng Author-X-Name-Last: Yan Author-Name: Shiming Chen Author-X-Name-First: Shiming Author-X-Name-Last: Chen Author-Name: Yongxiao Tian Author-X-Name-First: Yongxiao Author-X-Name-Last: Tian Author-Name: Jing Zhou Author-X-Name-First: Jing Author-X-Name-Last: Zhou Title: Two novel stability criteria for linear systems with interval time-varying delays Abstract: This paper analyses the stability problem of linear systems with interval time-varying delay. In regard to the delay, it has the lower and upper bounds and its derivative is unknown or itself is not differentiable. First of all, it is the first time that the delay-related triple integral terms are used to construct the augmented Lyapunov–Krasovskii functional (LKF) and the delay-related integral quadratic terms are estimated by the third-order free-matrix-based integral inequalities (TFIIs). Then, based on the same LKF and same TFIIs and by introducing two sets of state vectors, the derivative of the LKF is presented as the quadratic and quintic polynomials about the delay respectively. Next, for the quadratic and quintic polynomials, new negative definite conditions (NDCs) are provided to form the linear matrix inequality (LMI) conditions. Finally, the advantages of these two criteria are checked through some classical numerical examples. Journal: International Journal of Systems Science Pages: 87-98 Issue: 1 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2103200 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2103200 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:1:p:87-98 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2111237_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20220907T060133 git hash: 85d61bd949 Author-Name: Meryem Hamidaoui Author-X-Name-First: Meryem Author-X-Name-Last: Hamidaoui Author-Name: Cheng Shao Author-X-Name-First: Cheng Author-X-Name-Last: Shao Author-Name: Samia Haouassi Author-X-Name-First: Samia Author-X-Name-Last: Haouassi Title: Iterative learning control for time-delay nonlinear hyperbolic distributed parameter systems Abstract: In this paper, we study the application of iterative learning control to a class of nonlinear varying time-delay equations. The handled procedure is the distributed parameter system, hyperbolic type. The selected plan is based on PD-type iterative learning control with initial state learning. Initially, we present the equation and the control law utilised. Subsequently, we presented some dilemmas. Then, sufficient conditions for monotone convergence of the error under the proper assumption are found. Also, a detailed convergence analysis is given based on the once-offered lemmas and Gronwall inequality. Finally, we show the usefulness of the method utilising a numerical model.AbbreviationsDPS: distributed parameter system; ILC: iterative learning control; PDE:partial differential equation; DPS: partial difference system; PD: proportional derivative Journal: International Journal of Systems Science Pages: 180-188 Issue: 1 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2111237 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2111237 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:1:p:180-188 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2113175_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: F. Zhou Author-X-Name-First: F. Author-X-Name-Last: Zhou Author-Name: Y. Shen Author-X-Name-First: Y. Author-X-Name-Last: Shen Author-Name: L. Lin Author-X-Name-First: L. Author-X-Name-Last: Lin Title: Adaptive output feedback controller of resisting large measurement noises for MIMO nonlinear systems Abstract: In this paper, we propose an adaptive output feedback control law for MIMO nonlinear systems with distinct unknown measurement errors in each output. The nonlinear terms have incremental rates which include nonlinear functions of output and polynomials of output multiplying unknown constants. By introducing an observer, and two classes of particular dual adaptive high-gains and a class of exclusive constant high-gains, an output feedback controller is developed to stabilise the MIMO nonlinear system. The designed controller is able to tolerate uncertain measurement errors with a relatively wide range. Finally, some simulations are provided to corroborate the theoretical analysis. Journal: International Journal of Systems Science Pages: 264-282 Issue: 2 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2113175 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2113175 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:2:p:264-282 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2122759_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Fuat Peker Author-X-Name-First: Fuat Author-X-Name-Last: Peker Author-Name: Ibrahim Kaya Author-X-Name-First: Ibrahim Author-X-Name-Last: Kaya Title: Maximum sensitivity (Ms)-based I-PD controller design for the control of integrating processes with time delay Abstract: Integrating processes, whose one or more poles are located at the origin, are common in the process industry. This paper focuses on maximum sensitivity (Ms)-based control of these types of processes. Integral–proportional derivative (I-PD) controllers are designed by exploiting the direct synthesis method for different forms of integrating processes. The suggested design approach is based on comparing the characteristic equation of the closed-loop system, which comprises the integrating system and I-PD controller with a lead/lag filter, with the desired characteristic equation. Simple and analytical adjusting rules are followed to determine the parameters of the I-PD controller and the lead/lag filter according to desired robustness specified by maximum sensitivity (Ms). The formulas provided contain process transfer function parameters and a tuning parameter that is used for setting the desired Ms. The benefits of the proposed technique are demonstrated by simulation examples and a real-time application of cart position control on an experimental set-up. Comparisons with some reported proportional–integral–derivative (PID) and I-PD design techniques are presented to demonstrate the advantages of the proposed design method more evidently. Journal: International Journal of Systems Science Pages: 313-332 Issue: 2 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2122759 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2122759 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:2:p:313-332 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2111238_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Lingzhi Hu Author-X-Name-First: Lingzhi Author-X-Name-Last: Hu Author-Name: Ding Wang Author-X-Name-First: Ding Author-X-Name-Last: Wang Author-Name: Jin Ren Author-X-Name-First: Jin Author-X-Name-Last: Ren Author-Name: Jiangyu Wang Author-X-Name-First: Jiangyu Author-X-Name-Last: Wang Author-Name: Junfei Qiao Author-X-Name-First: Junfei Author-X-Name-Last: Qiao Title: An event-triggered neural critic technique for nonzero-sum game design with control constraints Abstract: In this paper, an event-triggered neural critic learning algorithm is investigated to address constrained nonzero-sum game problems with discrete-time nonaffine dynamics. First, in order to ensure the saturation independence of two controllers in the nonzero-sum game problem, we adopt two different boundaries to constrain them respectively. Then, a novel triggering condition is designed to reduce the update times of the controllers, which achieves the purpose of less calculation. It is emphasised that the triggering condition is established based on the iteration of the time-triggered mechanism. Meanwhile, we prove that the real cost function possesses a predetermined upper bound, which realises the cost guarantee of the controlled system. In addition, we prove that the closed-loop system using the developed algorithm is asymptotically stable and that the system state and the sampling state are uniformly ultimately bounded during the process of training neural networks. Finally, two simulation examples are conducted to demonstrate the effectiveness of the proposed algorithm. Journal: International Journal of Systems Science Pages: 237-250 Issue: 2 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2111238 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2111238 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:2:p:237-250 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2123264_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: R. Sakthivel Author-X-Name-First: R. Author-X-Name-Last: Sakthivel Author-Name: T. Satheesh Author-X-Name-First: T. Author-X-Name-Last: Satheesh Author-Name: S. Harshavarthini Author-X-Name-First: S. Author-X-Name-Last: Harshavarthini Author-Name: Dhafer J. Almakhles Author-X-Name-First: Dhafer J. Author-X-Name-Last: Almakhles Title: State estimation-based robust control design for periodic piecewise systems with time-varying delays Abstract: In this article, the issue of finite-time boundedness is investigated for a class of uncertain periodic piecewise systems subject to time-varying input/state delays and external disturbances. The main aim of this article is to design an $ \mathcal {H}_{\infty } $ H∞ observer-based control protocol for guaranteeing the resulting closed-loop system to be finite-time bounded. The state dynamics of the system are not always directly measurable, so that a system states are reconstructed by constructing a periodic piecewise observer system to get the required result. Subsequently, the Lyapunov–Krasovskii functional by the decomposition of periodic positive-definite matrices is built and in conjunction with convex optimisation technique and extended Wirtinger's integral inequality, the sufficient conditions are derived to assure the finite-time boundedness of the closed-loop system. In particular, the corresponding periodic piecewise time-varying controller and observer gain matrices can be obtained as solutions to a set of derived sufficient linear matrix inequality-based conditions. Finally, the efficacy of the proposed control design is examined by utilizing two numerical examples with simulation results including a vibration system model. Journal: International Journal of Systems Science Pages: 405-422 Issue: 2 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2123264 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2123264 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:2:p:405-422 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2114115_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Yueheng Ding Author-X-Name-First: Yueheng Author-X-Name-Last: Ding Author-Name: Xinggang Yan Author-X-Name-First: Xinggang Author-X-Name-Last: Yan Author-Name: Zehui Mao Author-X-Name-First: Zehui Author-X-Name-Last: Mao Author-Name: Bin Jiang Author-X-Name-First: Bin Author-X-Name-Last: Jiang Author-Name: Sarah K. Spurgeon Author-X-Name-First: Sarah K. Author-X-Name-Last: Spurgeon Title: Decentralised output tracking of interconnected systems with unknown interconnections using sliding mode control Abstract: In this paper, a class of nonlinear interconnected systems with matched and unmatched uncertainties is considered. The isolated subsystem dynamics are described by linear systems with nonlinear components. The matched uncertainties and unmatched unknown interconnection terms are assumed to be bounded by known nonlinear functions. Based on sliding mode techniques, a state feedback decentralised control scheme is proposed such that the outputs of the controlled interconnected system track given desired signals uniformly ultimately. The desired reference signals are allowed to be time-varying. Using appropriate transformations, the considered system is transformed into a new interconnected system with an appropriate structure to facilitate the sliding surface design and the decentralised control design. A set of conditions is proposed to guarantee that the designed controller drives the tracking errors onto the sliding surface. The sliding motion exhibited by the error dynamics is uniformly ultimately bounded. The developed results are applied to a river quality control problem. Simulation results show that the proposed decentralised control strategy is effective and feasible. Journal: International Journal of Systems Science Pages: 283-294 Issue: 2 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2114115 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2114115 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:2:p:283-294 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2122758_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Sen Kong Author-X-Name-First: Sen Author-X-Name-Last: Kong Author-Name: Meng Wang Author-X-Name-First: Meng Author-X-Name-Last: Wang Author-Name: Huaicheng Yan Author-X-Name-First: Huaicheng Author-X-Name-Last: Yan Author-Name: Yongxiao Tian Author-X-Name-First: Yongxiao Author-X-Name-Last: Tian Author-Name: Zhichen Li Author-X-Name-First: Zhichen Author-X-Name-Last: Li Title: Membership-function-dependent memory controller design for interval type-2 fuzzy systems under fading channels Abstract: This paper studies the problem of membership-function-dependent memory output feedback (MOF) controller design for interval type-2 (IT2) fuzzy systems under fading channels. A time-varying stochastic process is introduced to model the unpredictable channel fading phenomenon. Taking the impact of channel fading into consideration, a non-parallel distribution compensation (non-PDC) strategy is employed to construct a class of memory output feedback fuzzy controllers. By fully exploiting the membership functions, the membership-function-dependent performance analysis and controller synthesis results have been obtained, such that the closed-loop system can be guaranteed with mean-square exponential stability and $ H_{\infty } $ H∞ performance γ. Finally, simulation studies have been presented to demonstrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 295-312 Issue: 2 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2122758 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2122758 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:2:p:295-312 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2122900_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Sonia Maalej Author-X-Name-First: Sonia Author-X-Name-Last: Maalej Author-Name: Alexandre Kruszewski Author-X-Name-First: Alexandre Author-X-Name-Last: Kruszewski Title: Stability and performances synthesis of a class of Takagi–Sugeno systems with unmeasured premises: restricted-model-based approach Abstract: This paper presents the design of a robust Restricted-Model-Based control providing tools for both stability and performance analysis of a class of Single-Input-Single-Output (SISO) Takagi–Sugeno (T–S) systems. The proposed method is evaluated in terms of induced $ \mathcal {L}_2 $ L2-gain (or so-called $ \mathcal {H}_{\infty } $ H∞ norm) to be robust to disturbances, sensor noises and uncertainties on the premise variables. Unlike the common approaches reported in the literature that consider exact premise variables, this work deals with the problem of unmeasured premises. The main results of this paper illustrate that stability and performance conditions can be evaluated by examining the feasibility of parametrised sets of linear matrix inequalities (LMIs). The proof of stability is based on the non-linear sector approach of the closed loop under Lyapunov conditions, $ \mathcal {L}_2 $ L2 norm and system transformations. The result is a control structure with only one parameter tuned via simple conditions. The performance and applicability of the proposed approach are illustrated through numerical simulations of an academic example. Journal: International Journal of Systems Science Pages: 443-461 Issue: 2 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2122900 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2122900 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:2:p:443-461 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2122903_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Xi Li Author-X-Name-First: Xi Author-X-Name-Last: Li Author-Name: Qiankun Song Author-X-Name-First: Qiankun Author-X-Name-Last: Song Author-Name: Yurong Liu Author-X-Name-First: Yurong Author-X-Name-Last: Liu Author-Name: Fuad E. Alsaadi Author-X-Name-First: Fuad E. Author-X-Name-Last: Alsaadi Title: Saddle-point equilibrium for Hurwicz model considering zero-sum differential game of uncertain dynamical systems with jump Abstract: As an effective vehicle, uncertainty theory is applicable for handling subjective indeterminacy. Based on uncertainty theory, the Hurwicz model of the zero-sum uncertain differential game with jump is formulated, in which the dynamic system is portrayed by an uncertain differential equation satisfying both the canonical Liu process and V-jump uncertain process. An equilibrium equation for solving the saddle-point of the above game is proposed. In addition, the game with a linear dynamic system and the quadratic objective function is further analysed. At last, a resource extraction problem using our theoretical results is described. Journal: International Journal of Systems Science Pages: 357-370 Issue: 2 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2122903 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2122903 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:2:p:357-370 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2122905_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: R. Caballero-Águila Author-X-Name-First: R. Author-X-Name-Last: Caballero-Águila Author-Name: J. Linares-Pérez Author-X-Name-First: J. Author-X-Name-Last: Linares-Pérez Title: Distributed fusion filtering for uncertain systems with coupled noises, random delays and packet loss prediction compensation Abstract: The design of recursive estimation algorithms in networked systems is an important research challenge from both theoretical and practical perspectives. The growing number of application fields are demanding the development of new mathematical models and algorithms that accommodate the effect of the unavoidable network-induced uncertainties. Special relevance have transmission delays and packet dropouts, which may yield a significant degradation in the performance of conventional estimators. This paper discusses the distributed fusion estimation problem in a class of linear stochastic uncertain systems whose measurement noises are cross-correlated and coupled with the process noise. The uncertainty of the system is not only described by additive noises, but also by multiplicative noise in the state equation and random parameter matrices in the measurement model. Both one-step delays and packet dropouts can randomly occur during the transmission of the sensor measurements to the local processors and a compensation strategy based on measurement prediction is used. Under the least-squares criterion and using an innovation approach, a recursive algorithm for the local filtering estimators is designed. These local estimators are then fused at a processing centre, where the distributed fusion filter is generated as the least-squares matrix-weighted linear combination of the local ones. Journal: International Journal of Systems Science Pages: 371-390 Issue: 2 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2122905 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2122905 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:2:p:371-390 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2111239_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Yingying Han Author-X-Name-First: Yingying Author-X-Name-Last: Han Author-Name: Shaosheng Zhou Author-X-Name-First: Shaosheng Author-X-Name-Last: Zhou Title: H∞ filtering of discrete-time Markovian jump singular systems via bounded real lemma and supermartingale-liked approach Abstract: This paper addresses the $ H_{\infty } $ H∞ filtering for discrete-time Markovian jump singular systems (MJSSs). While the existing researches have only given the sufficient conditions, in this paper a sufficient and necessary condition is established to guarantee that the filtering error system is regular, causal, stochastically stable and $ H_{\infty } $ H∞ performance in light of supermartingale-liked approach and property of conditional expectation as well as – bounded real lemma. For obtaining the filter, an equivalent matrix inequality to the obtained one in nonlinear form is provided in terms of congruence transformation. Thus the desired filter can be developed by choosing matrix variables with certain structures. Finally, two simulations are provided to show the effectiveness of the proposed techniques in this paper. Journal: International Journal of Systems Science Pages: 251-263 Issue: 2 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2111239 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2111239 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:2:p:251-263 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2122901_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Jia-Rui Zhang Author-X-Name-First: Jia-Rui Author-X-Name-Last: Zhang Author-Name: Jun-Guo Lu Author-X-Name-First: Jun-Guo Author-X-Name-Last: Lu Author-Name: Zhen Zhu Author-X-Name-First: Zhen Author-X-Name-Last: Zhu Title: Stability analysis and stabilisation of continuous-discrete fractional-order 2D Fornasini–Marchesini first model Abstract: This paper focuses on the structural stability and stabilisation of the continuous-discrete fractional-order two-dimensional Fornasini-Marchesini first model. The sufficient and necessary stability conditions are given in polynomial form at first. Secondly, to make the problem solvable, based on the property of Kronecker product and the Generalized–Kalman–Yakubovich–Popov Lemma, the new sufficient and necessary stability conditions are established in the form of linear matrix inequalities. Thirdly, with the help of the Projection Lemma, the stabilisation conditions are obtained after introducing a state feedback controller, which can be solved with an iterative linear matrix inequality algorithm. In the end, the effectiveness of the proposed results is verified by two numerical examples. Journal: International Journal of Systems Science Pages: 333-344 Issue: 2 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2122901 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2122901 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:2:p:333-344 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2122902_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Siqi Wang Author-X-Name-First: Siqi Author-X-Name-Last: Wang Author-Name: Ruicheng Ma Author-X-Name-First: Ruicheng Author-X-Name-Last: Ma Title: Prescribed-time stabilisation design for a class of nonlinear systems with state constraints Abstract: This paper will investigate the prescribed-time stabilisation problem for a class of nonlinear systems with state constraints. A recursive design algorithm is proposed to solve the prescribed-time stabilisation problem. Firstly, a barrier Lyapunov function (BLF) is employed and a time-varying coordinate transformation is utilised. Then, a modified method of $ {L_g}V $ LgV-backstepping is proposed, and a novel stabilising function by adding a fractional term proposed in this paper which is capable of decreasing the BLF to the origin within any desired settling time and then achieving the prescribed-time stabilisation. Such a fractional term plays an important role in achieving prescribed-time stabilisation. Next, the analysis of the prescribed-time stabilisation with state constraints is presented. Finally, an example shows the effectiveness of the proposed method. The feature of this paper is that the settling time is not only independent of the design parameters, nor does it depend on the initial conditions, and can be set according to per our will. Other is that the constraints of all the states are not violated. Journal: International Journal of Systems Science Pages: 345-356 Issue: 2 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2122902 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2122902 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:2:p:345-356 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2127341_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Shijie Wang Author-X-Name-First: Shijie Author-X-Name-Last: Wang Author-Name: Zhikun She Author-X-Name-First: Zhikun Author-X-Name-Last: She Author-Name: Quanyi Liang Author-X-Name-First: Quanyi Author-X-Name-Last: Liang Author-Name: Junjie Lu Author-X-Name-First: Junjie Author-X-Name-Last: Lu Author-Name: Wenyuan Wu Author-X-Name-First: Wenyuan Author-X-Name-Last: Wu Title: Inner-estimating domains of attraction for discrete-time non-polynomial systems with piecewise difference inclusions Abstract: In this paper, we propose two successive heuristic iterative methods for inner-estimating domains of attraction for discrete-time non-polynomial systems. Firstly, we utilise a discrete-time fuzzy model to derive a piecewise difference inclusion for the discrete-time non-polynomial system. Then, an initial heuristic iterative method is presented to inner-estimate the domain of attraction as large as possible by first iteratively calculating common Lyapunov-like functions and then heuristically updating piecewise difference inclusions. Afterwards, the initial heuristic iterative method is further improved by piecewise Lyapunov-like functions, arriving at a refined heuristic iterative method. Especially, we introduce homotopy continuation method to decrease the computational complexity. At last, our methods are applied to three discrete-time non-polynomial examples with a brief discussion. Journal: International Journal of Systems Science Pages: 423-442 Issue: 2 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2127341 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2127341 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:2:p:423-442 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2122906_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Haocheng Yu Author-X-Name-First: Haocheng Author-X-Name-Last: Yu Author-Name: Zhengtian Wu Author-X-Name-First: Zhengtian Author-X-Name-Last: Wu Author-Name: Baoping Jiang Author-X-Name-First: Baoping Author-X-Name-Last: Jiang Author-Name: Hamid Reza Karimi Author-X-Name-First: Hamid Reza Author-X-Name-Last: Karimi Title: Fault section location for distribution network based on linear integer programming Abstract: In the power society, the fault location of the distribution network has always been the focus of scholars. When a fault occurs, it needs to be located quickly and accurately to avoid more significant losses. Due to the wide application of distributed generation in the distribution network, many traditional methods are no longer applicable. Thus, a fast and high fault tolerance method is urgently needed to solve the complex fault location problem of the distribution network. According to the logical and algebraic relationship of fault location, a linear integer programming model for fault section location of the distribution network is established. This paper adopts a new method for solving integer programming, called the fixed-point iterative method. This method has unique advantages in dealing with such large-scale problems and is easily realised through distributed computing, thereby saving time. Finally, through MATLAB experimental simulation, results show that the integer programming method can quickly locate the fault and has high fault tolerance. Journal: International Journal of Systems Science Pages: 391-404 Issue: 2 Volume: 54 Year: 2023 Month: 01 X-DOI: 10.1080/00207721.2022.2122906 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2122906 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:2:p:391-404 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2135419_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Zhen Li Author-X-Name-First: Zhen Author-X-Name-Last: Li Author-Name: Yao-Lin Jiang Author-X-Name-First: Yao-Lin Author-X-Name-Last: Jiang Title: Parallel model order reduction based on block discrete Fourier transform and Krylov subspace for parametric systems Abstract: This paper explores a time-domain parallel parametric model order reduction (PMOR) method for parametric systems based on the block discrete Fourier transform (DFT) and Krylov subspace. The proposed method is suitable for parametric systems with non-affine parametric dependence. With Taylor expansion, the expansion coefficients of the state variable are first obtained. Then, we show that the subspace spanned by the expansion coefficients belongs to a Krylov subspace. To speed up the PMOR process, a parallel strategy based on the block DFT and the structured matrices is proposed to compute the matrices involved in the Krylov subspace. This can avoid directly computing the inverse of the large-scale matrix. After that, the reduced parametric systems are constructed with the projection matrix obtained by the Arnoldi algorithm and orthonormalisation. Furthermore, we analyse the invertibility and the error estimations to guarantee the feasibility of the proposed PMOR method. Finally, the numerical experiments are given to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 594-606 Issue: 3 Volume: 54 Year: 2023 Month: 02 X-DOI: 10.1080/00207721.2022.2135419 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2135419 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:3:p:594-606 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2141592_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Xu Cai Author-X-Name-First: Xu Author-X-Name-Last: Cai Author-Name: Xuyang Lou Author-X-Name-First: Xuyang Author-X-Name-Last: Lou Title: L2-gain analysis of reset control for piecewise-affine systems with input saturation Abstract: This paper is concerned with reset control and $ \mathcal {L}_2 $ L2-gain stability of piecewise-affine systems with input saturation and external disturbance under the framework of hybrid systems. Firstly, we present a reset controller and establish exponential stability conditions of piecewise-affine systems with input saturation under the reset controller. Secondly, sufficient conditions for $ \mathcal {L}_2 $ L2-gain stability of the closed-loop systems with input saturation and external disturbance are provided and a reset controller is designed to enhance the $ \mathcal {L}_2 $ L2-gain performance of piecewise-affine systems with input saturation. Furthermore, robustness to inflations of the flow and jump sets is established. Finally, a numerical simulation is provided to illustrate the results. Journal: International Journal of Systems Science Pages: 684-703 Issue: 3 Volume: 54 Year: 2023 Month: 02 X-DOI: 10.1080/00207721.2022.2141592 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2141592 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:3:p:684-703 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2141593_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Yuefei Yuan Author-X-Name-First: Yuefei Author-X-Name-Last: Yuan Author-Name: Qiankun Song Author-X-Name-First: Qiankun Author-X-Name-Last: Song Author-Name: Bo Zhou Author-X-Name-First: Bo Author-X-Name-Last: Zhou Title: Emergency medical service location problem based on physical bounds using chance-constrained programming approach Abstract: This paper studies a location and sizing problem for an emergency medical service system using distributionally robust chance-constrained programming approach. The medical demands are uncertain and described in an ambiguity set, which is constructed based on Wasserstein-metric. The location problem is modelled through minimising the total expected costs, including construction costs of facilities, purchase of ambulances and maintenance costs. The chance constraints are introduced to guarantee the service level of geographical areas. For the chance constraints, three reformulations such as CVaR-approximation, the mixed integer linear programme exact reformulation and the physically bounded bilinear reformulation are studied. A numerical study is conducted to illustrate the computational performance and objective values. Journal: International Journal of Systems Science Pages: 704-716 Issue: 3 Volume: 54 Year: 2023 Month: 02 X-DOI: 10.1080/00207721.2022.2141593 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2141593 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:3:p:704-716 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2130019_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Lei Chu Author-X-Name-First: Lei Author-X-Name-Last: Chu Author-Name: Yungang Liu Author-X-Name-First: Yungang Author-X-Name-Last: Liu Title: Adaptive event-triggered control with dynamic dwell time of uncertain nonlinear systems Abstract: Event-triggered control, as networked systems are popular, is increasingly appreciated. Such control could arouse essential saving of communication/computation and would lay the groundwork for networked (control) systems. However, due to the discontinuity and hybrid nature of event-triggered control, the exclusion of Zeno phenomenon is the premise of its workability. Aiming to circumvent the Zeno behaviour more explicitly, we attach a dynamic dwell time to triggering mechanism and propose a new adaptive event-triggered control scheme for uncertain nonlinear systems. Specifically, a set of dynamic gains are first introduced to compensate for large uncertainties and nonlinearities, and the indispensability of a set of gains rather than a gain is elaborated on. Then, from a dynamic-gain-dependent monitoring rule, the positive dwell time is generated so that the Zeno phenomenon can be excluded automatically. In particular, the rule enables system behaviour to be always monitored by evaluating the sampling errors of gains. Based on this, we construct an adaptive controller with linear structure, which allows the execution error can be estimated explicitly, and in turn suppressed by the gains. It is shown that, with the proposed event-triggered control, all the closed-loop system signals are bounded and the system state ultimately converges to zero. Notably, the designed triggering mechanism could save more resources in theory since the event detection and gains monitoring are performed alternately. The effectiveness and superiority of the proposed scheme is illustrated by two simulation examples. Journal: International Journal of Systems Science Pages: 504-530 Issue: 3 Volume: 54 Year: 2023 Month: 02 X-DOI: 10.1080/00207721.2022.2130019 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2130019 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:3:p:504-530 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2138626_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Pushkar Prakash Arya Author-X-Name-First: Pushkar Prakash Author-X-Name-Last: Arya Author-Name: Sohom Chakrabarty Author-X-Name-First: Sohom Author-X-Name-Last: Chakrabarty Title: Robust modified partial internal model control for stable, unstable and integrating processes Abstract: For open-loop stable processes, the internal model control (IMC) provides a simple and effective parameterisation of stabilising controllers. However, for unstable processes, it cannot be directly used for control system implementation. In this paper, a new unified approach for the IMC design is proposed for stable, unstable and integrating processes, using the modified IMC (m-IMC) structure in which an additional controller $ K(s) $ K(s) is introduced along with the basic IMC. Also, the partial IMC (PIMC) concept is utilised, wherein we write the plant as the summation of stable and unstable parts and consider only the stable part as the internal model. The combined approach is thereby referred to as modified partial IMC (m-PIMC). This paper presents a graphical method to obtain controller parameters for the proposed m-PIMC to satisfy the given gain margin ( $ A_m $ Am) and phase margin ( $ \phi _m $ ϕm) specifications. Further, stability boundary and robust boundary for the controller parameters are obtained which respectively give a set of all controller parameters stabilising the close loop and a set of all controller parameters ensuring robust stability. Seven different well-known standard stable, unstable and integrating process models are considered for the proposed m-PIMC design, and simulation examples are given for four selected plant models. Journal: International Journal of Systems Science Pages: 652-671 Issue: 3 Volume: 54 Year: 2023 Month: 02 X-DOI: 10.1080/00207721.2022.2138626 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2138626 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:3:p:652-671 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2141591_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Jing Wang Author-X-Name-First: Jing Author-X-Name-Last: Wang Author-Name: Yong Peng Author-X-Name-First: Yong Author-X-Name-Last: Peng Author-Name: Liya Dou Author-X-Name-First: Liya Author-X-Name-Last: Dou Author-Name: Shuang Ju Author-X-Name-First: Shuang Author-X-Name-Last: Ju Title: Mean square consensus for linear multi-agent systems with time delays and relative-state-dependent noises Abstract: This work investigates the consensus problem of a linear multi-agent system with relative-state-dependent noises and time delays, where the noises are proportional to the relative states of agents and the delays are time-variant and uniform. The network topology of the information flow between agents is a directed graph. Based on the analysis of stochastic delayed differential equation and Lyapunov stability theory, sufficient conditions for the mean square consensus of the multi-agent system are given by deriving out the upper bounds of delays and the intensities of the noises. Serval numerical simulation examples are shown to verify the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 672-683 Issue: 3 Volume: 54 Year: 2023 Month: 02 X-DOI: 10.1080/00207721.2022.2141591 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2141591 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:3:p:672-683 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2135975_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Shengnan Tian Author-X-Name-First: Shengnan Author-X-Name-Last: Tian Author-Name: Kang-Zhi Liu Author-X-Name-First: Kang-Zhi Author-X-Name-Last: Liu Author-Name: Manli Zhang Author-X-Name-First: Manli Author-X-Name-Last: Zhang Author-Name: Chengda Lu Author-X-Name-First: Chengda Author-X-Name-Last: Lu Author-Name: Luefeng Chen Author-X-Name-First: Luefeng Author-X-Name-Last: Chen Author-Name: Min Wu Author-X-Name-First: Min Author-X-Name-Last: Wu Author-Name: Jinhua She Author-X-Name-First: Jinhua Author-X-Name-Last: She Title: Disturbance rejection of T–S fuzzy systems: a membership function-dependent EID method Abstract: The disturbance rejection problem of T–S fuzzy systems is concerned. Since the T–S fuzzy system is characterised by its membership function, less conservative stabilisation conditions can be derived from membership function-dependent Lyapunov function which contributes to the improvement of disturbance rejection performance. Specifically, we utilise a configuration composed of a membership function-dependent state observer for the state estimation, a membership function-dependent equivalent-input-disturbance estimator for the estimation and compensation of disturbance and an internal model for the reference tracking. It is revealed that this membership function-dependent Lyapunov function naturally leads to control gains switching in accordance with the derivative signs of the normalised premise variables. The switching rules and the design conditions for all control gains are obtained explicitly. In particular, the free-weighting-matrix approach is used to lessen the conservatism in the stability condition. Moreover, a concrete procedure for the controller design including the switching rule is given. Finally, the developed method is tested via simulations. The advantage of the membership function-dependent equivalent-input-disturbance method is validated by comparing with conventional methods. Journal: International Journal of Systems Science Pages: 618-632 Issue: 3 Volume: 54 Year: 2023 Month: 02 X-DOI: 10.1080/00207721.2022.2135975 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2135975 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:3:p:618-632 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2135974_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Yi-Fan Dun Author-X-Name-First: Yi-Fan Author-X-Name-Last: Dun Author-Name: Li-Bing Wu Author-X-Name-First: Li-Bing Author-X-Name-Last: Wu Title: Fixed-time prescribed performance fault compensation control of uncertain pure-feedback nonlinear systems Abstract: This study is primarily focused on the issue of low-complexity global fixed-time prescribed performance fault compensation control for uncertain nonlinear systems with actuator failures, and extra disturbance. First of all, a new fixed-time function in view of inverse trigonometric function is proposed and used to define the state errors. Then, proper root-type error conversion functions and smooth orientation functions are linked to design the continuous control signals in the state feedback controller. In addition, based on the idea of proof by contradiction, it is shown that the state errors converge to a predictable compact aggregate at a definite rate at a fixed time. Meanwhile, the boundedness of any closed-loop signals might be guaranteed. The simulation results and algorithm comparisons are delivered to demonstrate the effectiveness and superiority of the developed control strategy at last. Journal: International Journal of Systems Science Pages: 607-617 Issue: 3 Volume: 54 Year: 2023 Month: 02 X-DOI: 10.1080/00207721.2022.2135974 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2135974 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:3:p:607-617 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2135417_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Jin Zhu Author-X-Name-First: Jin Author-X-Name-Last: Zhu Author-Name: Qingkun Zhang Author-X-Name-First: Qingkun Author-X-Name-Last: Zhang Title: Optimal decision strategy for discrete-time Markovian jump linear systems Abstract: This paper investigates the discrete-time Markovian jump linear systems (MJLSs) whose mode transition probability matrix (MTPM) can be adjusted by decisions. Motivated by switching law design in switched systems, the optimal decision strategy is proposed for stabilisation and optimisation of such MJLSs where decision cost is taken into account. First, aiming at system stability, the feasible domain of decision is given for stable and unstable MJLSs with initial MTPM. Second, a generalised performance index is put forward which contains both state cost and decision cost, and we obtain the quantitative relationship between the index and decision via stochastic dynamic programming. Finally, for the optimisation of the performance index, a value iteration algorithm is proposed with its convergence proof. This algorithm, searching for the optimal decision within the feasible domain, achieves superior performance on the basis of ensuring stability. Simulation results illustrate the effectiveness of the proposed optimal decision strategy. Journal: International Journal of Systems Science Pages: 565-582 Issue: 3 Volume: 54 Year: 2023 Month: 02 X-DOI: 10.1080/00207721.2022.2135417 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2135417 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:3:p:565-582 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2128602_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Qingbin Gao Author-X-Name-First: Qingbin Author-X-Name-Last: Gao Author-Name: Jiazhi Cai Author-X-Name-First: Jiazhi Author-X-Name-Last: Cai Author-Name: Zhenyu Zhang Author-X-Name-First: Zhenyu Author-X-Name-Last: Zhang Author-Name: Zhili Long Author-X-Name-First: Zhili Author-X-Name-Last: Long Title: Complete stability assessment of LTI systems with multiple constant-coefficient distributed delays using the improved frequency sweeping framework Abstract: The stability problem of linear time-invariant systems with multiple constant-coefficient distributed delays is investigated from a new perspective. We present an equivalent system with multiple lumped delays and then apply the Dixon resultant to determine the exact upper bound of the projected imaginary spectra of the system. We then adopt the improved frequency sweeping framework over the obtained range to get the kernel and offspring hypersurfaces (KOH). Furthermore, the singularity at the zero characteristic root is scrutinised, leading to what we call the stationary root boundary (SRB) in the domain of the delays. With these, we resort to the Cluster Treatment of Characteristic Roots (CTCR) paradigm to determine the complete stability map of the system with the complete knowledge of the KOH and SRB. Finally, the effectiveness of our proposed procedure is shown by two case studies. Journal: International Journal of Systems Science Pages: 478-490 Issue: 3 Volume: 54 Year: 2023 Month: 02 X-DOI: 10.1080/00207721.2022.2128602 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2128602 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:3:p:478-490 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2128702_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Muhammad Imran Author-X-Name-First: Muhammad Author-X-Name-Last: Imran Author-Name: Muhammad Imran Author-X-Name-First: Muhammad Author-X-Name-Last: Imran Title: Transformation of two-dimensional model into two-dimensional decoupled model and decomposition into one-dimensional models Abstract: Two-dimensional models are challenging to deals with because of their complex structure. Two-dimensional models can be separated into two sub-models only if they are represented in separable-denominator form. However, the separable-denominator form must satisfy the minimal rank-decomposition criteria to decompose the two-dimensional model into two sub-models. This research proposes a transformation that transforms the original two-dimensional general model into a two-dimensional decoupled model form without involving separable-denominator form and minimal rank-decomposition criteria and then decomposes into two one-dimensional sub-models (i.e. two cascaded one-dimensional models). Furthermore, the suggested transformation preserves the symmetry of the decomposed one-dimensional sub-models. These sub-models are used for ease in the design, analysis, control, and model reduction. Numerical outcomes show that the suggested transformation efficiently transforms the original two-dimensional model into decoupled model form, demonstrating the proposed transformation's effectiveness. Journal: International Journal of Systems Science Pages: 491-503 Issue: 3 Volume: 54 Year: 2023 Month: 02 X-DOI: 10.1080/00207721.2022.2128702 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2128702 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:3:p:491-503 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2135416_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Zhuanglin Mei Author-X-Name-First: Zhuanglin Author-X-Name-Last: Mei Author-Name: Toshiki Oguchi Author-X-Name-First: Toshiki Author-X-Name-Last: Oguchi Title: A real-time identification method of network structure in complex network systems Abstract: This paper develops a real-time identification algorithm for structures of network systems. We have already proposed a structure identification method for nonlinear network systems with nonlinear couplings by combining Koopman operator theory and a sparse identification method. However, the proposed method is only applicable for offline use under the assumption that the state of an isolated system is available. To relax this assumption, this paper shows that the dynamical model of isolated systems can be extracted from measured data of interconnected systems under some weak restrictions on network structures. We also modify the identification algorithm to obtain real-time identification results with fewer calculation resources and analyse the convergence of the proposed methods. Numerical examples demonstrate that the proposed method can identify network structures in real-time and detect changes in networks correctly. Journal: International Journal of Systems Science Pages: 549-564 Issue: 3 Volume: 54 Year: 2023 Month: 02 X-DOI: 10.1080/00207721.2022.2135416 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2135416 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:3:p:549-564 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2135976_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Tiancheng Zong Author-X-Name-First: Tiancheng Author-X-Name-Last: Zong Author-Name: Junhong Li Author-X-Name-First: Junhong Author-X-Name-Last: Li Author-Name: Guoping Lu Author-X-Name-First: Guoping Author-X-Name-Last: Lu Title: Bias-compensated least squares and fuzzy PSO based hierarchical identification of errors-in-variables Wiener systems Abstract: This paper investigates the parameter estimation of errors-in-variables Wiener (EIV-W) nonlinear systems. In such nonlinear systems, both input and output contain interference noises, and some intermediate processes are also interfered by noises. The hierarchical technology is applied to decompose the whole system into two subsystems firstly. For the linear subsystem, in order to obtain unbiased estimates of model parameters, a bias compensation method is introduced. Then, the bias-compensated least squares (BLS) algorithm is proposed. For the nonlinear subsystem, on the basis of particle swarm optimisation (PSO), the fuzzy control technology is added to improve the ability of jumping out of the local optimum. Thus, a bias-compensated least squares and fuzzy PSO based hierarchical (BLS-FPSO-H) method is derived at last. In simulation, a numerical example and a case study about the carbon fibre stretching process are implemented. Results indicate that the BLS-FPSO-H algorithm can effectively identify EIV-W nonlinear systems, the convergence speed and identification accuracy are greatly improved than the basic PSO method and some other PSO variants. Journal: International Journal of Systems Science Pages: 633-651 Issue: 3 Volume: 54 Year: 2023 Month: 02 X-DOI: 10.1080/00207721.2022.2135976 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2135976 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:3:p:633-651 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2132545_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Suna Duan Author-X-Name-First: Suna Author-X-Name-Last: Duan Author-Name: Zhiyong Yu Author-X-Name-First: Zhiyong Author-X-Name-Last: Yu Author-Name: Da Huang Author-X-Name-First: Da Author-X-Name-Last: Huang Author-Name: Haijun Jiang Author-X-Name-First: Haijun Author-X-Name-Last: Jiang Title: Distributed fixed-time cluster optimisation for multi-agent systems Abstract: This paper considers the distributed cluster optimisation problem of multi-agent systems (MASs). Different from existing optimisation problems, the MASs are divided into several clusters, and each cluster has its own optimisation objective which is the sum of their local objective functions. Firstly, based on communication topology, the distributed optimisation problem with two clusters is considered and a kind of distributed control protocol is proposed. By using the fixed-time stability theory and the convexity of function, it is proved that the MASs can not only achieve cluster consensus in a fixed-time interval, but also solve the optimisation problem asymptotically. Secondly, the MASs with multiple clusters are further considered. We extend the proposed protocol to a more general case and also prove that MASs can achieve cluster consensus in fixed-time and asymptotically reach the optimal solution of the optimisation objective. Finally, some numerical simulations are presented to show the efficacy of the theoretical results. Journal: International Journal of Systems Science Pages: 531-548 Issue: 3 Volume: 54 Year: 2023 Month: 02 X-DOI: 10.1080/00207721.2022.2132545 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2132545 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:3:p:531-548 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2127342_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Nematollah Changizi Author-X-Name-First: Nematollah Author-X-Name-Last: Changizi Author-Name: Karim Salahshoor Author-X-Name-First: Karim Author-X-Name-Last: Salahshoor Author-Name: Mehdi Siahi Author-X-Name-First: Mehdi Author-X-Name-Last: Siahi Title: Complexity reduction of explicit MPC based on fuzzy reshaped polyhedrons for use in industrial controllers Abstract: The explicit model predictive control (EMPC) generates the rules of control defined for a set of polyhedral regions. Online EMPC calculations consist of searching a look-up table to find the appropriate control law according to a particular state. This paper discusses the complexity of online computation and the memory required to store data in an EMPC implementation. Therefore, a new reshaping method is applied to the active regions so that the definition of the polyhedron has regular boundaries. This approach has made some improvements. First, the usable memory will be a lot less for the actual implementation compared to the traditional EMPC approach. Second, the small number of new clusters reduces search time in explicit lookup tables and speeds up overall implementation. To this end, fuzzy clustering is used to introduce a novel method of transforming polyhedrons in the context of fuzzy explicit model predictive (FEMPC) control, followed by a new fuzzy-based piece-wise affine (PWA) explicit formulation for control law calculations. The stability of the proposed method is investigated using the Lyapunov stability criteria. The proposed algorithm has been tested on a nonlinear continuous stirred tank reactor (CSTR) benchmark system and simulation tests show that the proposed approach involves a compromise between storage space requirements and online efficiency. Journal: International Journal of Systems Science Pages: 463-477 Issue: 3 Volume: 54 Year: 2023 Month: 02 X-DOI: 10.1080/00207721.2022.2127342 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2127342 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:3:p:463-477 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2135418_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Shuang Liang Author-X-Name-First: Shuang Author-X-Name-Last: Liang Author-Name: Jinling Liang Author-X-Name-First: Jinling Author-X-Name-Last: Liang Title: Finite-time input-to-state stability of nonlinear systems: the discrete-time case Abstract: This paper extends the finite-time input-to-state stability (FTISS) issue to the discrete-time dynamical systems. Based on the Lyapunov method, sufficient conditions are derived to check the FTISS property of the discrete-time nonlinear systems with inputs. In addition, the generalised class- $ \mathcal {KL} $ KL functions and the settling-time function capturing the finite settling-time behaviour of the dynamical system are constructed explicitly and well studied. In the end of the paper, a numerical example is provided to illustrate the feasibility/effectiveness of the obtained results. Journal: International Journal of Systems Science Pages: 583-593 Issue: 3 Volume: 54 Year: 2023 Month: 02 X-DOI: 10.1080/00207721.2022.2135418 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2135418 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:3:p:583-593 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2141594_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Yinyan Zhang Author-X-Name-First: Yinyan Author-X-Name-Last: Zhang Author-Name: Gang Xiao Author-X-Name-First: Gang Author-X-Name-Last: Xiao Author-Name: Shuai Li Author-X-Name-First: Shuai Author-X-Name-Last: Li Title: Adaptive quadratic optimisation with application to kinematic control of redundant robot manipulators Abstract: The primal-dual gradient dynamics is a broadly investigated approach for handling optimisation problems. In this paper, we provide an extension of such dynamics under the adaptive updating framework for solving equality-constrained quadratic programmes. We show that the performance of the proposed method is theoretically guaranteed and it has asymptotic convergence to the solution of the optimisation problem and the minimum inter-event time is non-trivial. A numerical example and an application show the effectiveness and advantages of the proposed method. Journal: International Journal of Systems Science Pages: 717-730 Issue: 4 Volume: 54 Year: 2023 Month: 03 X-DOI: 10.1080/00207721.2022.2141594 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2141594 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:4:p:717-730 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2143248_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Junwei Wang Author-X-Name-First: Junwei Author-X-Name-Last: Wang Author-Name: Qijun Ren Author-X-Name-First: Qijun Author-X-Name-Last: Ren Author-Name: Chuance Yan Author-X-Name-First: Chuance Author-X-Name-Last: Yan Author-Name: Kairui Chen Author-X-Name-First: Kairui Author-X-Name-Last: Chen Title: Stochastic synchronisation of nonlinear networks with additive measurement noise Abstract: Stochastic synchronisation of complex networks has recently attracted considerable attention because of the ubiquitousness of random noise in real-world complex systems. Previous works have mainly considered noise-corrupted communication by ignoring intrinsic dynamics of nodes. This work provides a systematic study of complex networks by taking into account both additive noise and nonlinear dynamics of nodes, examining their stochastic synchronisation problems. We model the deterministic diffusive coupling and noisy additive coupling with the time-invariant strength and the time-varying strength, respectively. Using the stochastic Lyapunov technique, this framework enables an analytical treatment of the problem, ultimately leading to sufficient conditions for the onset of synchronisation. For symmetrical/asymmetrical connections, the synchronisation condition for the time-invariant coupling strength can be stated elegantly in terms of node dynamics and network topology, whereas that for the time-varying coupling strength is described as a robust condition. Finally, two simulation examples are carried out to illustrate the effectiveness of theoretical findings. Journal: International Journal of Systems Science Pages: 768-779 Issue: 4 Volume: 54 Year: 2023 Month: 03 X-DOI: 10.1080/00207721.2022.2143248 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2143248 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:4:p:768-779 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2146987_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Yanrong Lu Author-X-Name-First: Yanrong Author-X-Name-Last: Lu Author-Name: Xiaomeng Zhang Author-X-Name-First: Xiaomeng Author-X-Name-Last: Zhang Author-Name: Zhiwen Wang Author-X-Name-First: Zhiwen Author-X-Name-Last: Wang Author-Name: Liang Qiao Author-X-Name-First: Liang Author-X-Name-Last: Qiao Title: Optimal containment preview control for continuous-time multi-agent systems using internal model principle Abstract: Optimal containment preview analysis and distributed design for multi-agent systems with general continuous-time linear dynamics and directed acyclic communication topology are considered. Firstly, the state augmentation technique and topology reconstruction method are applied to formulate the original problem as a set of internal-model based local optimal output regulation problem. Secondly, the linear superposition principle is employed to obtain the preview feed-forward compensations corresponding to multiple leaders. Thirdly, by expressing each preview compensation term as a form about the current state of the leader, the solvability of the local optimal output regulation problem, as well as the optimal regulation problems, are proved. On this basis, the sufficient conditions and the distributed optimal control strategy are derived, which ensure the convergence of the containment preview problem. Finally, the effectiveness of the distributed design is illustrated by a numerical experiment. Journal: International Journal of Systems Science Pages: 802-821 Issue: 4 Volume: 54 Year: 2023 Month: 03 X-DOI: 10.1080/00207721.2022.2146987 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2146987 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:4:p:802-821 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2141596_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Jiyang Jia Author-X-Name-First: Jiyang Author-X-Name-Last: Jia Author-Name: Jie Lan Author-X-Name-First: Jie Author-X-Name-Last: Lan Author-Name: Yan-Jun Liu Author-X-Name-First: Yan-Jun Author-X-Name-Last: Liu Author-Name: Lei Liu Author-X-Name-First: Lei Author-X-Name-Last: Liu Title: Disturbance observer-based adaptive neural network FTC for a class of nonlinear MASs with an estimated efficiency factor Abstract: An adaptive neural network fault-tolerant control(FTC) scheme is proposed for nonlinear and nonstrict-feedback multi-agent systems (MASs) with directed fixed topology. Firstly, a disturbance observer is designed to estimate the unknown external disturbances in the systems, and realise the dynamic estimation of the disturbances. Secondly, the efficiency factor is estimated online, and then the FTC scheme is designed successfully under the backstepping framework. It is proved that all signals in the closed-loop systems are semi-globally uniformly bounded and the tracking error is controlled in a small range. Finally, an example is given to verify the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 751-767 Issue: 4 Volume: 54 Year: 2023 Month: 03 X-DOI: 10.1080/00207721.2022.2141596 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2141596 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:4:p:751-767 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2141595_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Le Zhao Author-X-Name-First: Le Author-X-Name-Last: Zhao Author-Name: Yungang Liu Author-X-Name-First: Yungang Author-X-Name-Last: Liu Author-Name: Fengzhong Li Author-X-Name-First: Fengzhong Author-X-Name-Last: Li Title: Fully distributed adaptive finite-time consensus over uncertain network topology Abstract: Communication network could suffer uncertainties originating from link faults and network attacks. This situation, in multi-agent systems, can be featured by unknown weights of network topology. To impair the influence of the uncertain topology, typical compensation should be taken into account in distributed protocols to the workability of multi-agent systems. This paper, in the context of uncertain topology, addresses finite-time leader-following consensus for second-order uncertain nonlinear multi-agent systems. In addition to uncertainties in topology, the systems also allow unknown control coefficients, which together with the unknown weights renders the realisation of finite-time leader-following consensus nontrivial. Specifically, a fully distributed protocol based on distributed finite-time observer is designed via integrating the adaptive compensation scheme. Notably, in the designed protocol, dynamic high gains are introduced for the compensations of the network uncertainties and agents uncertainties. It turns out that the designed fully distributed protocol guarantees the global finite-time leader-following consensus. Simulation examples are provided to illustrate the validity of the proposed approach. Journal: International Journal of Systems Science Pages: 731-750 Issue: 4 Volume: 54 Year: 2023 Month: 03 X-DOI: 10.1080/00207721.2022.2141595 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2141595 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:4:p:731-750 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2148493_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Xiang Zhang Author-X-Name-First: Xiang Author-X-Name-Last: Zhang Author-Name: Jun Song Author-X-Name-First: Jun Author-X-Name-Last: Song Author-Name: Peng Cheng Author-X-Name-First: Peng Author-X-Name-Last: Cheng Author-Name: Kaibo Shi Author-X-Name-First: Kaibo Author-X-Name-Last: Shi Author-Name: Shuping He Author-X-Name-First: Shuping Author-X-Name-Last: He Title: Mean square exponential stabilisation for directional 2D Roesser hidden Markov model Abstract: Based on the two-dimensional (2D) Roesser model, this paper focuses on the asynchronous controller design for directional 2D Markov jump systems (MJSs). Considering the more practical situation that the modes of the 2D MJSs in the horizontal and vertical directions are independent, and the system modes are asynchronous with that of the controller, the directional 2D MJSs are proposed and the asynchronous controller is designed, respectively. Based on the Lyapunov theory, a sufficient condition for the mean square exponential stability of the controlled directional 2D MJSs is given. Moreover, the partially unknown transition probabilities in systems and controllers are considered. Finally, an example is given to illustrate that the proposed method is effective. Journal: International Journal of Systems Science Pages: 867-879 Issue: 4 Volume: 54 Year: 2023 Month: 03 X-DOI: 10.1080/00207721.2022.2148493 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2148493 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:4:p:867-879 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2145860_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Deniz Kurtoglu Author-X-Name-First: Deniz Author-X-Name-Last: Kurtoglu Author-Name: Tansel Yucelen Author-X-Name-First: Tansel Author-X-Name-Last: Yucelen Author-Name: Stefan Ristevski Author-X-Name-First: Stefan Author-X-Name-Last: Ristevski Author-Name: Jonathan A. Muse Author-X-Name-First: Jonathan A. Author-X-Name-Last: Muse Title: Norm-free adaptive event-triggering rule for distributed control of multiagent systems Abstract: We focus on reducing agent-to-agent information exchange in distributed control of multiagent systems. Specifically, our contribution is a norm-free and adaptive event-triggering rule for each agent, where it is decentralised and predicated on the solution-predictor curve method. The decentralised feature means that the proposed event-triggering rule depends on the own error signals of an agent without requiring any neighbouring or global information. The norm-free feature means that the left-hand side of the proposed event-triggering rule inequality does not depend on distances such as absolute values of error signals to allow for better agent-to-agent information exchange reduction. To achieve both decentralised and norm-free features together, an adaptive term is utilised in the event-triggering rule for each agent to estimate unknown variable unavailable to an agent. Here, the presented system-theoretical analysis of the proposed event-triggering rule holds for both the sampled data exchange case and the data exchange case predicated on the solution-predictor curve method. In contrast to standard sampled data exchange, the solution-predictor curve method has the ability to further reduce agent-to-agent information exchange, where each agent stores this curve and exchanges its parameters when an event occurs in a distributed manner for approximating the solution trajectory of each agent. Journal: International Journal of Systems Science Pages: 791-801 Issue: 4 Volume: 54 Year: 2023 Month: 03 X-DOI: 10.1080/00207721.2022.2145860 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2145860 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:4:p:791-801 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2146988_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Meryem Deniz Author-X-Name-First: Meryem Author-X-Name-Last: Deniz Author-Name: K. Merve Dogan Author-X-Name-First: K. Merve Author-X-Name-Last: Dogan Author-Name: Tansel Yucelen Author-X-Name-First: Tansel Author-X-Name-Last: Yucelen Title: A distributed adaptive architecture with the nonlinear reference model for safe finite-time control of uncertain multiagent systems Abstract: We propose a new distributed adaptive control architecture for finite-time control of uncertain nonlinear multiagent systems. The proposed architecture employs three key components for each agent; a nonlinear reference model, a weight update rule, and an adaptive control signal. Predicated on agent-wise reference model state exchange, an ideal finite-time behaviour of overall multiagent system is captured by nonlinear reference models. The weight update rule of each agent, which is driven by a local error signal between the actual uncertain state of an agent and its reference model state, then adjusts agent-wise controller parameters in real-time to drive the local error signals of each agent to zero in finite-time. That is, not only the states of agents converge to their nonlinear reference model states in finite-time, but also the latter states converge to the given ideal behaviour in finite-time. Considering safety, the distinct feature of our architecture is that it does not rely on agent-wise actual state exchange between agents, which involves the effect of system uncertainties. This implies that when a subset of agents exhibits, for example, Byzantine behaviour, then their behaviour do not affect the rest of multiagent system from functioning. Journal: International Journal of Systems Science Pages: 822-834 Issue: 4 Volume: 54 Year: 2023 Month: 03 X-DOI: 10.1080/00207721.2022.2146988 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2146988 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:4:p:822-834 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2148495_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Peitao Gao Author-X-Name-First: Peitao Author-X-Name-Last: Gao Author-Name: Yinhe Wang Author-X-Name-First: Yinhe Author-X-Name-Last: Wang Author-Name: Lizhi Liu Author-X-Name-First: Lizhi Author-X-Name-Last: Liu Author-Name: LiLi Zhang Author-X-Name-First: LiLi Author-X-Name-Last: Zhang Author-Name: Shengping Li Author-X-Name-First: Shengping Author-X-Name-Last: Li Title: Double tracking control for the directed complex dynamic network via the state observer of outgoing links Abstract: From the perspective of large system, a directed complex dynamic network (DCDN) is regarded as being made up of the nodes subsystem (NS) and the links subsystem (LS), which are coupled to each other. Different from previous studies, which propose the dynamic model of LS with the matrix differential equations, this paper describes the dynamic behaviour of LS with the outgoing links vector at every node, by which the dynamic model of LS can be represented as the vector differential equation to form the outgoing links subsystem (OLS). Due to the fact that vectors have more flexible mathematical properties than matrices, this paper proposes the more convenient mathematic method to investigate the double tracking control problem of NS and OLS. Under the condition that the states of NS are available and the states of OLS are unavailable, the asymptotical state observer of OLS is designed, by which the tracking controllers of NS and OLS are synthesised to ensure achieving the double tracking goals. Finally, an example simulation for supporting the theoretical results is also provided. Journal: International Journal of Systems Science Pages: 895-906 Issue: 4 Volume: 54 Year: 2023 Month: 03 X-DOI: 10.1080/00207721.2022.2148495 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2148495 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:4:p:895-906 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2146990_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Maiying Zhong Author-X-Name-First: Maiying Author-X-Name-Last: Zhong Author-Name: Xiaoqiang Zhu Author-X-Name-First: Xiaoqiang Author-X-Name-Last: Zhu Author-Name: Ting Xue Author-X-Name-First: Ting Author-X-Name-Last: Xue Author-Name: Lu Zhang Author-X-Name-First: Lu Author-X-Name-Last: Zhang Title: An overview of recent advances in model-based event-triggered fault detection and estimation Abstract: Event-triggered fault diagnosis has attracted tremendous research attention in the last decade due to its superiority in improving the utilisation efficiency of communication resources. Different from traditional works of time-driven, event-triggered schemes are used to determine whether the current measurement output should be released to the fault detection filter, while the sensor data not satisfying a predefined triggering condition will be discarded directly. As such, research on event-triggered fault diagnosis has been a challenging issue and many outstanding results have been reported. This paper presents a survey of model-based event-triggered fault detection (FD) and fault estimation (FE) methods mainly based on the techniques of residual generation. First, an overview of recent advances in state estimation-based methods of event-triggered FD is provided, which include the event-triggered FD for dynamic systems subject to Gaussian noises, the $ H_\infty $ H∞ filtering formulation of event-triggered FD, and the event-triggered $ H_i/H_\infty $ Hi/H∞ optimisation-based FD. Second, the representative results of parity space-based event-triggered FD are reviewed. Third, recent results on event-triggered FE are also reviewed. Finally, several challenging issues on event-triggered fault diagnosis are provided for future research. Journal: International Journal of Systems Science Pages: 929-943 Issue: 4 Volume: 54 Year: 2023 Month: 03 X-DOI: 10.1080/00207721.2022.2146990 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2146990 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:4:p:929-943 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2147279_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Qi Zhang Author-X-Name-First: Qi Author-X-Name-Last: Zhang Author-Name: Weiwei Sun Author-X-Name-First: Weiwei Author-X-Name-Last: Sun Author-Name: Chaoqian Qiao Author-X-Name-First: Chaoqian Author-X-Name-Last: Qiao Title: Event-triggered stabilisation of switched nonlinear systems with actuator saturation: a Hamiltonian approach Abstract: This paper presents a Hamiltonian approach to study the event-triggered stabilisation problem of switched affine nonlinear systems with actuator saturation. The key idea is to obtain an event-triggered control strategy by developing a constant Hamiltonian realisation method, an average dwell time (ADT) scheme and a nonlinear sector method. The proposed strategy can ensure the asymptotic stability of the plant without violating actuator saturation, even if there exists asynchronous phenomenon between the subsystems and their candidate controllers. The results presented in this paper remove the common assumption that the system's mode and controller's mode have to be synchronised and that the triggering condition has to be monitored continuously. This extends available results for switched nonlinear systems and reduces energy consumptions. Finally, an example is provided to verify the validity of the proposed results. Journal: International Journal of Systems Science Pages: 849-866 Issue: 4 Volume: 54 Year: 2023 Month: 03 X-DOI: 10.1080/00207721.2022.2147279 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2147279 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:4:p:849-866 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2146989_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Wen Chen Author-X-Name-First: Wen Author-X-Name-Last: Chen Author-Name: Baoquan Kou Author-X-Name-First: Baoquan Author-X-Name-Last: Kou Author-Name: Mengyao Wang Author-X-Name-First: Mengyao Author-X-Name-Last: Wang Author-Name: Xv Niu Author-X-Name-First: Xv Author-X-Name-Last: Niu Title: Speed-based multiobjective optimisation of a cage-secondary permanent magnet linear eddy current brake Abstract: This paper proposes a multiobjective optimisation scheme for a new cage-secondary permanent magnet linear eddy current brake, where the secondary is designed to own the cage configuration with variable parameters. This unique structure is suitable for applying to the high-speed rail transit braking system. Via speed-based multiobjective optimisation for this eddy current brake, the objectives of short braking distance, light weight, and low manufacturing cost can be achieved. First, the detailed structure and principle are described. Second, the braking force performance is accurately predicted by the proposed 3D analytical method. And the influence of secondary materials and secondary parameter values on braking force performance in all speed ranges is analysed. Third, the sensitivity of the optimisation design variables is analysed by the gene distribution maps. Then, the genetic algorithm based on the analytical model is used for multiobjective optimisation in all speed ranges and the best design scheme is selected. Finally, the accuracy of optimisation and the analytical model is verified by prototype experiment and simulation. Journal: International Journal of Systems Science Pages: 835-848 Issue: 4 Volume: 54 Year: 2023 Month: 03 X-DOI: 10.1080/00207721.2022.2146989 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2146989 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:4:p:835-848 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2145859_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Yongkun Li Author-X-Name-First: Yongkun Author-X-Name-Last: Li Author-Name: Xiaoli Huang Author-X-Name-First: Xiaoli Author-X-Name-Last: Huang Title: Almost periodic oscillation of octonion-valued neural networks with delays on time scales Abstract: In this paper, we propose an octonion-valued neural network model governed by dynamic equations, and study the existence and stability of its almost periodic solutions by employing the fixed point method and the time scale calculus theory. The method we use is the direct one, that is, we do not split the considered systems into real-valued ones, but directly study octonion-valued systems. Even when the time scale $ \mathbb {T}=\mathbb {R} $ T=R, in other words, even if we consider continuous time real-valued systems, our results are novel. Finally, we illustrate the effectiveness of our results through a numerical example and computer simulation. Journal: International Journal of Systems Science Pages: 780-790 Issue: 4 Volume: 54 Year: 2023 Month: 03 X-DOI: 10.1080/00207721.2022.2145859 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2145859 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:4:p:780-790 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2148494_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Rui Mu Author-X-Name-First: Rui Author-X-Name-Last: Mu Author-Name: Airong Wei Author-X-Name-First: Airong Author-X-Name-Last: Wei Author-Name: Haitao Li Author-X-Name-First: Haitao Author-X-Name-Last: Li Author-Name: Zi-Ming Wang Author-X-Name-First: Zi-Ming Author-X-Name-Last: Wang Title: Distributed adaptive fault-tolerant consensus control for multi-agent systems with event-triggered communication Abstract: In this paper, the distributed fault-tolerant consensus control problem is studied for multi-agent systems with event-triggered communication. Unknown time-varying actuator faults including partial loss of effectiveness and bias are taken into consideration. For the sake of fault compensations, a novel distributed event-triggered control law is put forward via the adaptive fault-tolerant technique in the leaderless network. Then, two event-triggered mechanisms are constructed, and a positive $ L_{1} $ L1 function introduced therein is greatly useful for scheduling the information transmission as well as excluding the Zeno behavior. Under the proposed protocol, the consensus errors are proved to converge to zero asymptotically in a scalable and fully distributed way. Furthermore, the results obtained in the leaderless network are extended to the leader-following case. Finally, simulation examples are conducted to confirm the validity of the presented results. Journal: International Journal of Systems Science Pages: 880-894 Issue: 4 Volume: 54 Year: 2023 Month: 03 X-DOI: 10.1080/00207721.2022.2148494 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2148494 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:4:p:880-894 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2152297_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Renzhong Li Author-X-Name-First: Renzhong Author-X-Name-Last: Li Author-Name: Chen Fei Author-X-Name-First: Chen Author-X-Name-Last: Fei Author-Name: Haifeng Pan Author-X-Name-First: Haifeng Author-X-Name-Last: Pan Author-Name: Weiyin Fei Author-X-Name-First: Weiyin Author-X-Name-Last: Fei Title: Analysis of investment and decision-making based on ESG token platform under jump-diffusion Abstract: Token financing is operated by a platform based on blockchain technology. This paper mainly studies the influence of ESG factors on the decision-making of various participants on the platform and analyses the influence of the persistent shock environment on the operation of the token platform. We first characterise developers' token holdings by a jump-diffusion stochastic differential equation. Besides, the nonpecuniary benefits specific to the ESG environment is introduced to the developers' objective function and an incentive of government capital gain tax for green platform developers is also considered. Moreover, the Hamilton–Jacob–Bellman (HJB) equation satisfied by the developers' value function is derived while the equilibrium price of the token is obtained. Then, we compare the differences between some features, which include users' transaction volume, speculators' transaction volume and expected token returns, on the green platform (ESG score greater than 0) and the same features on the brown one (ESG score less than 0). We also analyse the impact of speculators' ESG preferences on the expected token returns, users' and speculators' transaction volume. Finally, by using numerical simulation, we illustrate the impact of the intensity of persistent shock and investment risk (token return volatility) on the operation of the token platform. Journal: International Journal of Systems Science Pages: 907-928 Issue: 4 Volume: 54 Year: 2023 Month: 03 X-DOI: 10.1080/00207721.2022.2152297 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2152297 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:4:p:907-928 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2158445_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Xiaohua Liu Author-X-Name-First: Xiaohua Author-X-Name-Last: Liu Author-Name: Feiqi Deng Author-X-Name-First: Feiqi Author-X-Name-Last: Deng Author-Name: Pengyu Zeng Author-X-Name-First: Pengyu Author-X-Name-Last: Zeng Author-Name: Xiaobin Gao Author-X-Name-First: Xiaobin Author-X-Name-Last: Gao Author-Name: Xueyan Zhao Author-X-Name-First: Xueyan Author-X-Name-Last: Zhao Title: Sampled-data resilient control for stochastic nonlinear CPSs under DoS attacks Abstract: This paper studies the sampled-data resilient control for stochastic nonlinear cyber-physical systems (CPSs) under denial-of-service (DoS) attacks. First, under the sampled-data control scheme, DoS attacks are described and under-considered in the stochastic nonlinear CPSs. Secondly, according to the influence of DoS attack, a new switching stochastic nonlinear closed-loop system is established under a full-state feedback controller. Then, by using the piecewise Lyapunov functional method, sufficient conditions are provided to ensure the mean square exponential stability of the obtained closed-loop system. In addition, some criterions are given to design controller parameters. Finally, an example is given to illustrate the effectiveness of our results. Journal: International Journal of Systems Science Pages: 1165-1171 Issue: 5 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2022.2158445 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2158445 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:5:p:1165-1171 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2168140_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Hanxue Yue Author-X-Name-First: Hanxue Author-X-Name-Last: Yue Author-Name: Huanqing Wang Author-X-Name-First: Huanqing Author-X-Name-Last: Wang Title: Adaptive fast finite-time control for nonstrict-feedback time-dealy systems with unknown control directions and dead zone Abstract: This paper concentrates on the study of the adaptive fast finite-time control method for a class of nonlinear time-delay systems with unknown control directions and dead zone. Fuzzy logic systems (FLSs) are employed to handle the problem of uncertain nonlinear terms. The Nussbaum function is utilised to deals with the problem of unknown control directions. Based on the fast finite-time stability theory, a novel adaptive fast finite-time fault tolerant control scheme is proposed under the framework of adaptive backstepping control. Choosing an appropriate Lyapunov-Krasovskii function, it is theoretically proved that the proposed control scheme can not only ensure that the control system is semi-global practical fast finite-time stable but also the tracking error converges to a small neighbourhood of the origin in a fast finite-time. Finally, simulation studies are given to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1101-1116 Issue: 5 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2023.2168140 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2168140 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:5:p:1101-1116 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2163205_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Jundong Wu Author-X-Name-First: Jundong Author-X-Name-Last: Wu Author-Name: Yawu Wang Author-X-Name-First: Yawu Author-X-Name-Last: Wang Author-Name: Wenjun Ye Author-X-Name-First: Wenjun Author-X-Name-Last: Ye Author-Name: Jinhua She Author-X-Name-First: Jinhua Author-X-Name-Last: She Author-Name: Chun-Yi Su Author-X-Name-First: Chun-Yi Author-X-Name-Last: Su Title: Dynamic modelling of liquid crystal elastomer actuators based on a physics-phenomenon-combined approach Abstract: Liquid crystal elastomer-based actuators (LCEAs) exhibit large, reversible deformation, which demonstrates superior advantages in developing remote controlled, light-weighted soft robots. However, deformation of LCEAs undergoes complicated physical dynamics and exhibits highly nonlinear hysteretic characteristics, posing challenges in the realization of related applications. It is necessary to develop a dynamic model that captures the characteristics of LCEAs. With this purpose, this paper proposes a dynamic modelling approach for LCEAs to provide a hybrid model for LCEAs with reduced computational complexity and high precision. In the research, a modelling scheme based on a physics-phenomenon-combined approach for LCEAs is proposed, which considers the elastic free energy, the nematic free energy and dissipation of the LCEA. Physics-based models are then developed to describe these energies. Meanwhile, a phenomenon-based model is proposed to characterise the hysteresis as a component of the nematic free energy. The above models are combined together to provide the final hybrid model for the LCEA. To verify the proposed model, a photo-responsive LCEA experimental platform is established and experiments are conducted. Model parameters are identified based on the nonlinear least-squares method. The experimental results demonstrate the proposed model as an excellent representative to characterise LCEAs' dynamic behaviours. Journal: International Journal of Systems Science Pages: 1087-1100 Issue: 5 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2022.2163205 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2163205 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:5:p:1087-1100 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2160675_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Yuyuan Li Author-X-Name-First: Yuyuan Author-X-Name-Last: Li Author-Name: Surong You Author-X-Name-First: Surong Author-X-Name-Last: You Author-Name: Jianqiu Lu Author-X-Name-First: Jianqiu Author-X-Name-Last: Lu Author-Name: Yanan Jiang Author-X-Name-First: Yanan Author-X-Name-Last: Jiang Author-Name: Liangjian Hu Author-X-Name-First: Liangjian Author-X-Name-Last: Hu Author-Name: Xuerong Mao Author-X-Name-First: Xuerong Author-X-Name-Last: Mao Title: Stabilisation in distribution by delay feedback controls for hybrid stochastic delay differential equations Abstract: This article aims to design a linear delay feedback control to stabilise an unstable hybrid stochastic delay differential equation in distribution. Under the global Lipschitz condition, sufficient criteria are established to guarantee the stability of the controlled system. Then LMI techniques are employed to design the control law in two structure forms: state feedback and output injection. Journal: International Journal of Systems Science Pages: 1070-1086 Issue: 5 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2022.2160675 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2160675 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:5:p:1070-1086 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2158444_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Xin Chen Author-X-Name-First: Xin Author-X-Name-Last: Chen Author-Name: Shixian Luo Author-X-Name-First: Shixian Author-X-Name-Last: Luo Author-Name: Wu-Hua Chen Author-X-Name-First: Wu-Hua Author-X-Name-Last: Chen Title: Moment observability and output feedback stabilisation for linear stochastic impulsive systems Abstract: This paper is concerned with the observability of linear stochastic impulsive systems with multiplicative noise. The concept of 2pth moment observability is first introduced. Then, to explore the moment observability, a deterministic expanded system is established for the linear stochastic impulsive systems by the generalised $ \mathcal {H} $ H-representation technique. It shows that the linear stochastic impulsive system is 2pth moment observability if and only if the expanded system is completely observable. Subsequently, a series of algebraic criteria and geometric criteria for 2pth moment observability of linear stochastic impulsive systems are established by analysing the solution of the expanded system. The impulsive observer-based stabilisation problem for linear stochastic systems is further studied based on these observability criteria. Finally, two numerical examples illustrate the proposed theoretical results. Journal: International Journal of Systems Science Pages: 1015-1032 Issue: 5 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2022.2158444 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2158444 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:5:p:1015-1032 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2168143_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Ding Wang Author-X-Name-First: Ding Author-X-Name-Last: Wang Author-Name: Wenqian Fan Author-X-Name-First: Wenqian Author-X-Name-Last: Fan Author-Name: Menghua Li Author-X-Name-First: Menghua Author-X-Name-Last: Li Author-Name: Junfei Qiao Author-X-Name-First: Junfei Author-X-Name-Last: Qiao Title: Decentralised tracking control based on critic learning for nonlinear disturbed interconnected systems Abstract: In this paper, the decentralised tracking control (DTC) problem is investigated for a class of continuous-time large-scale systems with external disturbance by utilising adaptive dynamic programming (ADP). Firstly, the DTC problem is solved by designing corresponding optimal controllers of the isolated subsystems, which are formulated with N augmented subsystems consisting of the tracking error and the reference trajectory. Then, considering the external disturbance, we can effectively construct the DTC scheme by means of adding suitable feedback gains to the optimal control strategies associated with each augmented tracking isolated subsystems (ATISs). Due to the approximate nature, a series of critic neural networks are constructed to solve the Hamilton–Jacobi–Isaacs equation, so as to derive the estimation of the Nash equilibrium solution containing the optimal control strategy and the worst disturbance law. Herein, a modified weight updating criterion is developed by employing a stabilising term. Consequently, we remove the requirement of initial admissible control in the proposed algorithm. After that, stability analysis of the ATIS is performed through the Lyapunov theory, in the sense that tracking states and weight approximation errors are uniformly ultimately bounded. Finally, an experimental simulation is demonstrated to ensure the validity of the proposed DTC scheme. Journal: International Journal of Systems Science Pages: 1150-1164 Issue: 5 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2023.2168143 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2168143 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:5:p:1150-1164 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2158446_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Wenbo Zhu Author-X-Name-First: Wenbo Author-X-Name-Last: Zhu Author-Name: Qingling Wang Author-X-Name-First: Qingling Author-X-Name-Last: Wang Title: Distributed finite-time optimisation of multi-agent systems with unknown high-frequency gain signs under switching digraphs Abstract: In this paper, we are concerned with distributed finite-time optimisation of multi-agent systems with unknown high-frequency gain signs under switching digraphs. First, a distributed finite-time gradient estimator-based optimal signal generator is constructed by adopting finite-time stability theory and graph theory. Then, considering the existence of unknown high-frequency gain signs in multi-agent systems, we propose new distributed asymptotic optimisation algorithms via the Nussbaum-type function. Additionally, in order to accelerate convergence, the novel distributed finite-time optimisation algorithms are presented. Both of the newly proposed algorithms can realise optimal consensus of multi-agent systems with unknown high-frequency gain signs under switching digraphs. Finally, two simulation examples are illustrated to verify the proposed algorithms. Journal: International Journal of Systems Science Pages: 1033-1046 Issue: 5 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2022.2158446 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2158446 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:5:p:1033-1046 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2168142_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Peyman Ahmadi Author-X-Name-First: Peyman Author-X-Name-Last: Ahmadi Author-Name: Mehdi Rahmani Author-X-Name-First: Mehdi Author-X-Name-Last: Rahmani Author-Name: Aref Shahmansoorian Author-X-Name-First: Aref Author-X-Name-Last: Shahmansoorian Title: LQR based optimal co-design for linear control systems with input and state constraints Abstract: This paper considers a constrained co-design problem for linear time-invariant (LTI) systems. With a practical vision of real-world problems, constraints on the control signal and system states are involved in the proposed algorithm. The main goal is to design a sub-optimal controller by simultaneously obtaining the control policy and the model parameters. To this end, the conventional problem of solving the Hamiltonian-Jacobi-Bellman (HJB) equation is transformed into a nonlinear non-convex optimisation problem. Then, by reformulating the constraints of the optimisation problem, it is relaxed into a convex Semi-Definite Programming (SDP). By presenting an iterative method, the control cost, the performance, and the number of iterations are improved compared to conventional methods, and a closer result to the optimal solution is obtained. The performance and efficacy of the proposed algorithm are investigated through a case study on the physical load positioning system. Journal: International Journal of Systems Science Pages: 1136-1149 Issue: 5 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2023.2168142 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2168142 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:5:p:1136-1149 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2158695_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Pengchao Zhang Author-X-Name-First: Pengchao Author-X-Name-Last: Zhang Author-Name: Liang Cao Author-X-Name-First: Liang Author-X-Name-Last: Cao Author-Name: Yingnan Pan Author-X-Name-First: Yingnan Author-X-Name-Last: Pan Author-Name: Yang Liu Author-X-Name-First: Yang Author-X-Name-Last: Liu Title: Active disturbance rejection-based distributed containment control for stochastic nonlinear multiagent systems Abstract: This paper investigates a distributed active disturbance rejection containment control problem for stochastic nonlinear multiagent systems under a directed topology. First, a class of nonlinear extended state observers predicated on the fractional power functions are proposed and extended state estimations are employed to compensate completely unknown stochastic terms and total disturbances in real time. Then the tracking differentiator is adopted to avoid the issue of computational burden caused by the repeated differentiation of virtual controllers. In light of the active disturbance rejection control technique, a distributed containment control scheme is put forward, which effectively deals with the problems of unknown nonlinearities and uncertain dynamics. Moreover, it is proved that containment errors of all followers converge to a small neighbourhood of the origin via the stochastic Lyapunov theory. Finally, the effectiveness of the proposed control method is verified by simulation results. Journal: International Journal of Systems Science Pages: 1056-1069 Issue: 5 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2022.2158695 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2158695 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:5:p:1056-1069 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2153634_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Arturo Zavala-Río Author-X-Name-First: Arturo Author-X-Name-Last: Zavala-Río Author-Name: Griselda I. Zamora-Gómez Author-X-Name-First: Griselda I. Author-X-Name-Last: Zamora-Gómez Author-Name: Tonametl Sanchez Author-X-Name-First: Tonametl Author-X-Name-Last: Sanchez Author-Name: Fernando Reyes-Cortes Author-X-Name-First: Fernando Author-X-Name-Last: Reyes-Cortes Title: A generalised proportional-derivative type scheme with multiple saturating structure for the finite-time and exponential tracking continuous control of Euler–Lagrange systems with bounded inputs Abstract: A generalised proportional-derivative type scheme for the finite-time and exponential tracking continuous control of Euler–Lagrange systems with input constraints is developed. Its generalised design permits the choice among multiple saturating structures. Suitable functions are involved for the appropriate shaping of every error correction term, and complementarily of their addition, to achieve the concerned type of convergence (in addition to the input saturation avoidance). Such a shaping is carried out through control parameters that act as exponential weights on the gained configuration and generalised velocity errors and on their joint action. Compared to previous finite-time approaches, such exponential weights are required to satisfy generalised comparative conditions, avoiding a fixed equivalence relation among any of them. This permits to give rise to a wider spectrum of finite-time convergent closed-loop trajectories and gives an optional type of (unconventional) exponential convergence (in addition to the conventional one). The resulting extended conditions on the exponential weights and the generalised saturating structure enlarge the controller potential for performance improvement or adjustment. The generalised design is supported through a more general analysis based on more general strict Lyapunov functions, stating more solid analytical bases for possible design extensions on the accomplishment of other control objectives. The study is further supported through experimental tests on a 3-degree-of-freedom robot manipulator. Journal: International Journal of Systems Science Pages: 945-976 Issue: 5 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2022.2153634 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2153634 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:5:p:945-976 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2156768_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Jiannan Chen Author-X-Name-First: Jiannan Author-X-Name-Last: Chen Author-Name: Fuchun Sun Author-X-Name-First: Fuchun Author-X-Name-Last: Sun Author-Name: Changchun Hua Author-X-Name-First: Changchun Author-X-Name-Last: Hua Title: Finite/fixed/predefined/exact time control: a unified framework Abstract: This paper investigates the settling time problem for dynamical systems, and some novel results are proposed. First, by reviewing classic achievements about the settling time problem of the control system, a new framework is designed. Then, based on the proposed framework, the classic fixed time control scheme is improved to predefined time control and exact time control results, respectively. Similarly, finite time control scheme is transformed into predefined time control and exact time control results. Furthermore, considering the bounded control results are vital in actual applications, the novel predefined time-bounded control and exact time-bounded control schemes are given. In the end, numerical simulations are conducted for robotic manipulators to demonstrate the effectiveness of the developed control strategies. Journal: International Journal of Systems Science Pages: 977-990 Issue: 5 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2022.2156768 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2156768 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:5:p:977-990 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2158447_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Lei Song Author-X-Name-First: Lei Author-X-Name-Last: Song Author-Name: Shaocheng Tong Author-X-Name-First: Shaocheng Author-X-Name-Last: Tong Title: Finite-time mean-nonovershooting control for stochastic nonlinear systems Abstract: The problem of finite-time mean-nonovershooting control is investigated for a class of stochastic nonlinear systems in this paper. For general stochastic strict-feedback nonlinear systems, a new controller is designed, which uses the framework of the backstepping technique, to assure that the mean of overshoot can be adjusted arbitrarily small (by changing controller gains) while all the states of the closed-loop system in finite-time to get bounded in probability. In contrast with corresponding deterministic systems, it has better performance that control gains did not rely on the initial conditions of system states and derivatives of the reference trajectory. Finally, a simulation example is showing the appealing performance of the proposed scheme. Journal: International Journal of Systems Science Pages: 1047-1055 Issue: 5 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2022.2158447 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2158447 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:5:p:1047-1055 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2168141_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Marco Antonio Leite Beteto Author-X-Name-First: Marco Antonio Leite Author-X-Name-Last: Beteto Author-Name: Edvaldo Assunção Author-X-Name-First: Edvaldo Author-X-Name-Last: Assunção Author-Name: Marcelo Carvalho Minhoto Teixeira Author-X-Name-First: Marcelo Carvalho Minhoto Author-X-Name-Last: Teixeira Title: Design of a mixed ℋ2/ℋ∞ gain scheduling state derivative feedback controller for linear parameter-varying systems Abstract: In this paper, the mixed $ \mathcal {H}_2/\mathcal {H}_{\infty } $ H2/H∞ guaranteed cost for continuous-time linear parameter-varying (LPV) systems is proposed. In addition, the gain scheduling (GS) strategy and the state derivative feedback (SDF) were considered. The time-varying parameter is assumed to be available for online measurement, and the conditions are based on linear matrix inequalities (LMIs). To improve the behaviour of the system, the $ \mathcal {D} $ D-stability is used. Examples show that the proposed conditions achieved good results in reducing the disturbance effect in the system. Furthermore, with the proposed methods, it is possible to guarantee the asymptotic stability and a mixed $ \mathcal {H}_2/\mathcal {H}_{\infty } $ H2/H∞ guaranteed cost minimisation. Journal: International Journal of Systems Science Pages: 1117-1135 Issue: 5 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2023.2168141 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2168141 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:5:p:1117-1135 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2157198_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Yong He Author-X-Name-First: Yong Author-X-Name-Last: He Author-Name: Chuan-Ke Zhang Author-X-Name-First: Chuan-Ke Author-X-Name-Last: Zhang Author-Name: Hong-Bing Zeng Author-X-Name-First: Hong-Bing Author-X-Name-Last: Zeng Author-Name: Min Wu Author-X-Name-First: Min Author-X-Name-Last: Wu Title: Additional functions of variable-augmented-based free-weighting matrices and application to systems with time-varying delay Abstract: This paper investigates the characteristics of the variable-augmented-based free-weighting matrices and studies their application to the stability analysis of the systems with time-varying delay. First, the higher-order terms of time-varying delay are avoided in estimating the derivative of the Lyapunov–Krasovskii functionals by introducing the variable-augmented-based free-weighting matrices such that an improved stability condition is obtained. Then, a general form of the variable-augmented-based free-weighting matrices is given and their common characteristics and additional functions are analysed. As a result, a basic criterion to remove the unnecessary free-weighting matrices is given to derive some results with less free-weighting matrices. Finally, a numerical example is given to show the effectiveness and merits of the presented method and analysis. Journal: International Journal of Systems Science Pages: 991-1003 Issue: 5 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2022.2157198 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2157198 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:5:p:991-1003 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2157686_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Cao Thanh Tinh Author-X-Name-First: Cao Thanh Author-X-Name-Last: Tinh Author-Name: Do Duc Thuan Author-X-Name-First: Do Duc Author-X-Name-Last: Thuan Title: Stability of stochastic singular difference equations with delay Abstract: In this paper, we shall deal with stochastic singular difference equations (SSDEs) with delay. The aim of the paper is to study the solvability and stability of SSDEs with delay. It is difficult to investigate these properties for SSDEs with a delay because of the singularity of the leading coefficient matrix. An index-ν concept is derived for the solvability of these equations. Stability of SSDEs with delay is studied by using the method of Lyapunov functions and comparison principle. An example is given to illustrate the results. To the best of our knowledge, these results are novel for SSDEs with delay. Journal: International Journal of Systems Science Pages: 1004-1014 Issue: 5 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2022.2157686 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2157686 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:5:p:1004-1014 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2173541_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Qiuyan Cui Author-X-Name-First: Qiuyan Author-X-Name-Last: Cui Author-Name: Kaien Liu Author-X-Name-First: Kaien Author-X-Name-Last: Liu Author-Name: Zhijian Ji Author-X-Name-First: Zhijian Author-X-Name-Last: Ji Author-Name: Wenjie Song Author-X-Name-First: Wenjie Author-X-Name-Last: Song Title: Sampling-data-based distributed optimisation of second-order multi-agent systems with PI strategy Abstract: This paper investigates the optimisation problem of second-order multi-agent systems. Distributed optimisation algorithms are proposed based on sampling data. Two kinds of sampling techniques, namely, aperiodic sampling and dynamic event-triggered sampling, are utilised. Moreover, the proportional integral (PI) strategy is utilised in the proposed algorithms. Compared with the existing distributed optimisation algorithm based on periodic sampling, the proposed algorithm dependent on aperiodic sampling is more general. Compared with the existing steady event-triggered algorithm, the distributed optimisation algorithm based on dynamic event-triggered sampling has the merit of lower energy consumption. Under the assumption that the global cost function is strongly convex about global minimum point, it is proved that the proposed algorithms solve the optimisation problem. Lyapunov stability theory is applied to give sufficient criteria guaranteeing convergence to optimal point. Finally, the effectiveness of the proposed algorithms is illustrated by numerical simulation. Journal: International Journal of Systems Science Pages: 1299-1312 Issue: 6 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2023.2173541 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2173541 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:6:p:1299-1312 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2169059_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Hufsa Khan Author-X-Name-First: Hufsa Author-X-Name-Last: Khan Author-Name: Xizhao Wang Author-X-Name-First: Xizhao Author-X-Name-Last: Wang Author-Name: Han Liu Author-X-Name-First: Han Author-X-Name-Last: Liu Title: A study on relationship between prediction uncertainty and robustness to noisy data Abstract: The presence of noise results in the decrease of the data quality, and thus affects seriously the learning performance. In this paper, we investigate theoretically and empirically how adjusting the temperature value of the softmax function to control the prediction uncertainty can help improve the model robustness to noise. Moreover, we design a modified loss function, where a regularisation term based on the uncertainty of distinguishing those non-ground truth labels is incorporated in the loss function to simultaneously improve the training accuracy and the model robustness to noise. This study theoretically and experimentally validates that the temperature parameter of the softmax function significantly impacts the classification accuracy and the proposed loss function is effective in improving the performance in the presence of noise. The study provides some practical guidelines for improving classifier performance through clearly expressing and understanding the relationship between uncertainty and noise robustness. Journal: International Journal of Systems Science Pages: 1243-1258 Issue: 6 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2023.2169059 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2169059 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:6:p:1243-1258 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2168145_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Shijuan Li Author-X-Name-First: Shijuan Author-X-Name-Last: Li Author-Name: Qiankun Song Author-X-Name-First: Qiankun Author-X-Name-Last: Song Author-Name: Yurong Liu Author-X-Name-First: Yurong Author-X-Name-Last: Liu Title: Stabilisation of distributed-order nonlinear systems via event-triggered control Abstract: This paper investigates the stability for a class of distributed-order nonlinear systems via event-triggered control method. First of all, an inequality of the solution is established for distributed-order nonlinear inequality systems by employing Laplace transform. And then, by designing an appropriate state feedback controller and event-triggered strategy, and using Lyapunov stability theory and matrix inequality technique, a sufficient condition to ensure the asymptotic stability of the considered distributed-order nonlinear systems is obtained in the form of linear matrix inequality. Moreover, a criterion to exclude Zeno behaviour in event-triggered strategy is provided. Finally, the feasibility and effectiveness of the proposed method are verified by a simulation example. Journal: International Journal of Systems Science Pages: 1186-1195 Issue: 6 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2023.2168145 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2168145 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:6:p:1186-1195 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2169845_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Yan Cheng Author-X-Name-First: Yan Author-X-Name-Last: Cheng Author-Name: Ben Niu Author-X-Name-First: Ben Author-X-Name-Last: Niu Author-Name: Xudong Zhao Author-X-Name-First: Xudong Author-X-Name-Last: Zhao Author-Name: Guangdeng Zong Author-X-Name-First: Guangdeng Author-X-Name-Last: Zong Author-Name: Adil M. Ahmad Author-X-Name-First: Adil M. Author-X-Name-Last: Ahmad Title: Event-triggered adaptive decentralised control of interconnected nonlinear systems with Bouc-Wen hysteresis input Abstract: This article presents an event-based adaptive decentralised output feedback control scheme for interconnected systems with Bouc-Wen hysteresis and unmeasured system states. To reduce some unnecessary data transmissions, a novel dynamic threshold adjustable event-triggering mechanism is proposed. In contrast with the traditional static threshold event-triggering mechanism, communication efficiency is greatly enhanced. Then, a neural networks-based observer is constructed to address the problem of unmeasured states, and the dynamic surface control method is used to address the ‘explosion of complexity’ that comes up when traditional backstepping design processes are used. Meanwhile, the Nussbaum function is introduced to eliminate the effect of unknown hysteresis. By resorting to the Lyapunov stability theory, it can be verified that all signals in the close-loop system are uniformly ultimately bounded. Finally, a simulation example is given to verify the effectiveness of the developed control scheme. Journal: International Journal of Systems Science Pages: 1275-1288 Issue: 6 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2023.2169845 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2169845 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:6:p:1275-1288 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2169057_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Zhicheng Kou Author-X-Name-First: Zhicheng Author-X-Name-Last: Kou Author-Name: Jinggao Sun Author-X-Name-First: Jinggao Author-X-Name-Last: Sun Title: Test-based model-free adaptive iterative learning control with strong robustness Abstract: A test-based model-free adaptive iterative learning control algorithm (TB-MFAILC) with strong robustness is proposed in this paper. The algorithm improves the situation where existing model-free adaptive iterative learning control algorithms fail to converge or converge relatively slowly in noisy environments. Also, this work demonstrates the convergence and robustness of the proposed algorithm in different environments. Subsequently, the effectiveness of the proposed algorithm is illustrated by numerical comparison simulations with the existing model-free adaptive iterative learning control algorithm and the PD-based adaptive switching learning control algorithm in noisy environments. Finally, the advantages of the proposed algorithm are further illustrated through the analysis of relevant parameters. Journal: International Journal of Systems Science Pages: 1213-1228 Issue: 6 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2023.2169057 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2169057 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:6:p:1213-1228 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2177900_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Negin Sayyaf Author-X-Name-First: Negin Author-X-Name-Last: Sayyaf Title: Analytical design of robust FO-PID controller for diffusion processes despite of uncertainty on all model parameters Abstract: Diffusion processes, as fundamental mechanisms for particle movement in systems with different concentrations, are used to describe many real-world physical, chemical, biological, engineering, economic and social phenomena. A diffusion process can be modelled via a fractional-order transfer function with time-delay, where its parameters may be affected by circumstance. Hereupon, this study proposes a pioneer robustness indicator to achieve the phase margin invariance regardless of concurrent uncertainty on different parameters of a diffusion process. Afterwards, an analytical procedure is suggested to tune a Fractional-Order Proportional-Integral-Derivative (FO-PID) controller for a diffusion process, to favourably regulate the values of gain crossover frequency and phase margin, such that the proposed robustness criterion is met. Moreover, the solvability of the problem is analytically investigated. Finally, a numerical simulation on robust temperature control during magnetic local hyperthermia, i.e. a common method to treat cancerous tumours, is presented to validate the efficiency of the paper achievements. Journal: International Journal of Systems Science Pages: 1344-1359 Issue: 6 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2023.2177900 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2177900 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:6:p:1344-1359 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2169060_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Fateme Baneshi Author-X-Name-First: Fateme Author-X-Name-Last: Baneshi Author-Name: Valiollah Ghaffari Author-X-Name-First: Valiollah Author-X-Name-Last: Ghaffari Author-Name: Manuel Soler Author-X-Name-First: Manuel Author-X-Name-Last: Soler Title: Non-fragile robust model predictive controller design for uncertain time-delay systems with input constraints Abstract: This paper addresses a non-fragile robust model predictive control design for a class of continuous-time uncertain systems with multiple state-delay and constrained control signals. The parameters of the system and the control gain are assumed to have perturbation in the additive form. The Lyapunov–Krasovskii functional approach is employed to derive sufficient conditions for determining a non-fragile robust state-feedback controller for all admissible uncertainties by minimising the upper bound of the defined quadratic cost function with respect to some linear matrix inequalities (LMIs). An additional inequality condition is imposed to address the constraint associated with the control signals. Numerical simulations are provided to assess the performance of the proposed controller. Journal: International Journal of Systems Science Pages: 1259-1274 Issue: 6 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2023.2169060 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2169060 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:6:p:1259-1274 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2177899_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Haijuan Zhao Author-X-Name-First: Haijuan Author-X-Name-Last: Zhao Author-Name: Juan Ma Author-X-Name-First: Juan Author-X-Name-Last: Ma Title: Sliding mode control of Lur'e nonlinear switched systems under dynamic schedule protocol Abstract: In this work, the sliding mode control (SMC) problem is investigated for a class of Lur'e nonlinear switched systems subject to finite channels constraints, which may lead to data collision. To solve this phenomenon, the Weighted Try-Once-Discard (WTOD) protocol is proposed on the sensor-to-controller (S/C) channels to regulate which one sensor node is permitted to send data via the communication network at each instant. A key issue of this work is how to integrate the WTOD protocol into the design of observer and the sliding mode controller for the switched systems. To this end, a token-dependent observer is constructed to estimate the unmeasured states, and then an observer-based SMC law is properly designed. Moreover, by constructing a Lur'e-type Lyapunov function interconnected with a cone-bounded nonlinearity, some sufficient conditions are established such that the reachability with a sliding domain around the specified sliding surface is achieved, meanwhile, the exponential stability of the resultant closed-loop switched systems is guaranteed. Finally, some numerical simulation results are provided. Journal: International Journal of Systems Science Pages: 1330-1343 Issue: 6 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2023.2177899 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2177899 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:6:p:1330-1343 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2169056_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Libin Ma Author-X-Name-First: Libin Author-X-Name-Last: Ma Author-Name: Mao Wang Author-X-Name-First: Mao Author-X-Name-Last: Wang Title: Neural network adaptive compensation control based on the backstepping method for nonlinear systems with time-varying delays Abstract: Control of nonlinear systems with time-varying delays is a common problem, particularly when the time-varying delays are unknown. This paper presents an adaptive compensation control method based on multiple neural networks. Firstly, considering the nonlinear systems with time-varying delays, a neural network method is adopted to approximate the unknown nonlinear structure with time-varying delays. On this basis, a backstepping controller is designed. Considering the unknown time-varying delays, the control effect of the neural network controller based on the backstepping method is not optimal. To deal with the problem, a double-layer adaptive compensator for the neural network is proposed. Furthermore, for the neural network adaptive compensation controller based on the backstepping method, the stability is also proved by a Lyapunov method. Finally, simulation results demonstrate the effectiveness of the scheme, especially when the nonlinear systems have an unknown time-varying delay. Journal: International Journal of Systems Science Pages: 1196-1212 Issue: 6 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2023.2169056 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2169056 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:6:p:1196-1212 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2168144_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Yuefei Yuan Author-X-Name-First: Yuefei Author-X-Name-Last: Yuan Author-Name: Qiankun Song Author-X-Name-First: Qiankun Author-X-Name-Last: Song Author-Name: Bo Zhou Author-X-Name-First: Bo Author-X-Name-Last: Zhou Title: A multi-period emergency medical service location problem based on Wasserstein-metric approach using generalised benders decomposition method Abstract: This paper considers a multi-period location and sizing problem for an emergency medical service (EMS) system based on a distributionally robust optimisation (DRO) chance-constrained programming approach. The dynamic uncertain emergency medical requests are described in the ambiguity set, which is constructed based on Wasserstein-metric. The model of this problem focuses on minimising long-term operation costs. The chance constraints ensure the reliability of EMS system for the entire geographic areas. A reformulation of chance constraints is provided in Mixed Integer Linear Program form. For problem solution, a generalised Benders decomposition (GBD) implementation is proposed. A numerical simulation is conducted to illustrate the performance of two solution approaches in terms of computational convergence speed and optimality of the problem. Journal: International Journal of Systems Science Pages: 1173-1185 Issue: 6 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2023.2168144 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2168144 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:6:p:1173-1185 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2177898_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Zhichen Li Author-X-Name-First: Zhichen Author-X-Name-Last: Li Author-Name: Yu Zhao Author-X-Name-First: Yu Author-X-Name-Last: Zhao Author-Name: Huaicheng Yan Author-X-Name-First: Huaicheng Author-X-Name-Last: Yan Author-Name: Meng Wang Author-X-Name-First: Meng Author-X-Name-Last: Wang Author-Name: Lu Zeng Author-X-Name-First: Lu Author-X-Name-Last: Zeng Title: Prescribed-time zero-error active disturbance rejection control for uncertain wheeled mobile robots subject to skidding and slipping Abstract: This paper investigates the prescribed-time control problem for a class of wheeled mobile robot (WMR) subject to nonparametric skidding, slipping and input disturbance in an inner-outer loop framework. First, by backstepping approach, the virtual linear and angular velocities are acquired to follow the reference path to one special point. Then, different from the conventional ones for canonical integral cascade model, a novel prescribed-time extended state observer (PTESO) is designed for WMR such that the unknown skidding and slipping can be observed and compensated. By developing the active disturbance rejection control technique, the zero-error control is achieved for WMR in prescribed time instead of ultimately uniform boundedness. Moreover, the influence of the uncertainty is attenuated by the compensation scheme based on the PTESO estimation. Finally, some simulation results are presented to demonstrate the superiority and effectiveness of the developed method. Journal: International Journal of Systems Science Pages: 1313-1329 Issue: 6 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2023.2177898 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2177898 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:6:p:1313-1329 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2171710_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Shanling Dong Author-X-Name-First: Shanling Author-X-Name-Last: Dong Author-Name: Meiqin Liu Author-X-Name-First: Meiqin Author-X-Name-Last: Liu Author-Name: Zheng-Guang Wu Author-X-Name-First: Zheng-Guang Author-X-Name-Last: Wu Title: A survey on hidden Markov jump systems: asynchronous control and filtering Abstract: In recent years, the problems of asynchronous control and filtering for Markov jump systems (MJSs) have received great research attention from scientific and engineering communities. The asynchronous situation between the original MJSs and the controller/filter is modelled by the hidden Markov model (HMM). This work gives a survey on the recent development of the HMM-based asynchronous controller and filter design for different MJSs, covering linear MJSs, fuzzy MJSs, semi-MJSs and 2D MJSs. Finally, a conclusion is drawn and the potential future research directions of MJSs are also discussed. Journal: International Journal of Systems Science Pages: 1360-1376 Issue: 6 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2023.2171710 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2171710 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:6:p:1360-1376 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2172327_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Huichao Lin Author-X-Name-First: Huichao Author-X-Name-Last: Lin Author-Name: Jiuxiang Dong Author-X-Name-First: Jiuxiang Author-X-Name-Last: Dong Title: Stability analysis of T–S fuzzy systems with time-varying delay via parameter-dependent reciprocally convex inequality Abstract: The stability problem of T–S fuzzy systems with time-varying delay is investigated in this article. The purpose is to establish the less conservative stability conditions for T–S fuzzy systems with time-varying delays. Firstly, a parameter-dependent reciprocally convex inequality is proposed to improve the estimation accuracy of reciprocal convex terms. Secondly, based on the line-integral Lyapunov–Krasovskii (L–K) function and the developed parameter-dependent reciprocally convex inequality, a less conservative stability condition is established. Finally, two examples are used to verify the feasibility and superiority of the proposed method. Journal: International Journal of Systems Science Pages: 1289-1298 Issue: 6 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2023.2172327 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2172327 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:6:p:1289-1298 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2169058_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Lijie Wang Author-X-Name-First: Lijie Author-X-Name-Last: Wang Author-Name: Zuhua Xu Author-X-Name-First: Zuhua Author-X-Name-Last: Xu Author-Name: Jun Zhao Author-X-Name-First: Jun Author-X-Name-Last: Zhao Author-Name: Zhijiang Shao Author-X-Name-First: Zhijiang Author-X-Name-Last: Shao Title: Nonparametric identification based on Gaussian process regression for distributed parameter systems Abstract: This paper proposes a nonparametric identification method based on Gaussian process regression (GPR) for completely unknown nonlinear distributed parameter systems (DPSs). Inspired by linear parameter-varying (LPV) modelling approach, an interpolated spatio-temporal Volterra model is developed to represent the DPSs in nonparametric form, in which local Volterra models are interpreted as Gaussian processes. According to the empirical Bayesian approach, we design the third-order stable kernel structure used for embedding prior knowledge and derive the estimation of hyperparameters. The hyperparameters included in local weighting functions and kernel functions are determined by the maximum likelihood method. By utilising the nonparametric identification approach to avoid model structure selection, the proposed method can improve identification result for completely unknown distributed parameter systems. Finally, two case studies validate the effectiveness of the proposed identification method. Journal: International Journal of Systems Science Pages: 1229-1242 Issue: 6 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2023.2169058 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2169058 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:6:p:1229-1242 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2177897_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: El Hafid Chelliq Author-X-Name-First: El Hafid Author-X-Name-Last: Chelliq Author-Name: Mohammed Alfidi Author-X-Name-First: Mohammed Author-X-Name-Last: Alfidi Author-Name: Zakaria Chalh Author-X-Name-First: Zakaria Author-X-Name-Last: Chalh Title: Admissibility and robust H∞ controller design for uncertain 2D singular continuous systems with interval time-varying delays Abstract: Admissibility and robust $ H_{\infty } $ H∞ controller design are considered here for uncertain 2-D continuous singular systems with interval time-varying delays and norm-bounded parameter uncertainties. A new delay-dependent admissibility condition is obtained by using an augmented Lyapunov–Krasovskii's functional and then using the Wirtinger inequality combined with an improved reciprocally convex approach. Then, a robust controller is designed in terms of a linear matrix inequality. Numerical examples are proposed to demonstrate the efficiency of the proposed methods. Journal: International Journal of Systems Science Pages: 1377-1397 Issue: 6 Volume: 54 Year: 2023 Month: 04 X-DOI: 10.1080/00207721.2023.2177897 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2177897 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:6:p:1377-1397 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2186192_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Dawei Wang Author-X-Name-First: Dawei Author-X-Name-Last: Wang Author-Name: Yanjun Shen Author-X-Name-First: Yanjun Author-X-Name-Last: Shen Author-Name: Zifan Fang Author-X-Name-First: Zifan Author-X-Name-Last: Fang Title: Leader–follower consensus for nonlinear multi-agent systems with unknown measurement sensitivities Abstract: In this paper, the leader–follower consensus problem is investigated for a class of lower-triangular nonlinear multi-agent systems with unknown measurement sensitivities. By developing a dual-domination gain method, a distributed compensator is proposed for each follower by utilising the output information of the follower and its neighbour agents. Based on the compensator, an output feedback control law is designed to achieve consensus. These two gains are used to deal with the unknown measurement noises and nonlinear terms, respectively. Then the consensus problem is transformed into a stability problem by introducing an appropriate state transformation. Based on the Lyapunov stability theory, it is proved that the states of the leader and followers can achieve consensus asymptotically. In the end, numerical simulations are provided to verify the correctness of the proposed consensus algorithm. Journal: International Journal of Systems Science Pages: 1575-1587 Issue: 7 Volume: 54 Year: 2023 Month: 05 X-DOI: 10.1080/00207721.2023.2186192 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2186192 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:7:p:1575-1587 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2177901_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Ji-Sun Park Author-X-Name-First: Ji-Sun Author-X-Name-Last: Park Author-Name: Sang-Young Oh Author-X-Name-First: Sang-Young Author-X-Name-Last: Oh Author-Name: Ho-Lim Choi Author-X-Name-First: Ho-Lim Author-X-Name-Last: Choi Title: On robust approximate feedback linearisation with an event-triggered controller Abstract: In this paper, we consider a problem of global stabilisation of approximate feedback linearised systems with perturbed nonlinearity by an event-triggered control. We categorise the perturbed nonlinearity into three cases and obtain a characterisation function for each case. Then we propose an event-triggered controller with a gain-scaling factor along with an event-triggering condition which is developed based on the characterisation function. Utilising the system analysis results, we suggest a control parameter selection rule depending on the priority on either system output regulation speed or size of the interexecution times. Via practical examples, we demonstrate the validity of our control approach. Journal: International Journal of Systems Science Pages: 1399-1409 Issue: 7 Volume: 54 Year: 2023 Month: 05 X-DOI: 10.1080/00207721.2023.2177901 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2177901 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:7:p:1399-1409 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2178864_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Qinyao Liu Author-X-Name-First: Qinyao Author-X-Name-Last: Liu Author-Name: Feiyan Chen Author-X-Name-First: Feiyan Author-X-Name-Last: Chen Title: Model transformation based distributed stochastic gradient algorithm for multivariate output-error systems Abstract: This paper is concerned with the parameter estimation problem for the multivariate system disturbed by coloured noises. Since coloured noises will reduce the estimation accuracy, the model transformation technique is employed to whiten the original system without changing the input-output relationship. In order to alleviate the heavy computational burden caused by high-dimensional variables and different types of parameters, the transformed model is divided into several sub-models according to the numbers of outputs. However, after the decomposition, all the sub-models contain a same parameter vector, resulting in many redundant estimates. A model transformation based distributed stochastic gradient (MT-DSG) algorithm is derived to cut down the redundant estimates and exchange the information among the sub-models. Compared with the centralised multivariate generalised stochastic gradient algorithm, the MT-DSG algorithm has more accurate estimates and less computational complexity. Finally, an illustrative example is employed to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1484-1502 Issue: 7 Volume: 54 Year: 2023 Month: 05 X-DOI: 10.1080/00207721.2023.2178864 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2178864 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:7:p:1484-1502 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2180782_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Pulakraj Aryan Author-X-Name-First: Pulakraj Author-X-Name-Last: Aryan Author-Name: G. Lloyds Raja Author-X-Name-First: G. Lloyds Author-X-Name-Last: Raja Author-Name: Ramon Vilanova Author-X-Name-First: Ramon Author-X-Name-Last: Vilanova Title: Experimentally verified optimal bi-loop re-located IMC strategy for unstable and integrating systems with dead time Abstract: Internal model controllers (IMCs) are popular strategies for controlling stable systems with dead time. The relocated IMC (RIMC) design reportedly achieves the expected performance-robustness tradeoff for stable processes. Hence, an attempt has been made in this work to modify the RIMC (as a bi-loop RIMC proportional-derivative (RIMC-PD)) strategy to make it applicable to a class of unstable and integrating systems involving dead time. The secondary-loop stabilisation is achieved with a PD controller constructed by Routh stability constraints. The primary loop contains a RIMC controller for reference following. Both primary, as well as secondary-loop controller parameters, are optimally tuned in the search space using the equilibrium optimiser subjected to minimal integral square error. The RIMC-PD control strategy delivers reasonable enhancement in performance measures when compared with some of the recently reported strategies. A robust stability investigation is also carried out. Finally, experimental verification of the RIMC-PD strategy is carried out using a magnetic levitation laboratory setup. Journal: International Journal of Systems Science Pages: 1531-1549 Issue: 7 Volume: 54 Year: 2023 Month: 05 X-DOI: 10.1080/00207721.2023.2180782 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2180782 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:7:p:1531-1549 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2177902_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Khizra Bukhsh Author-X-Name-First: Khizra Author-X-Name-Last: Bukhsh Author-Name: Awais Younus Author-X-Name-First: Awais Author-X-Name-Last: Younus Title: On the controllability and observability of fractional proportional linear systems Abstract: This paper deals with generalised Caputo fractional proportional linear time-invariant systems in a finite-dimensional space. The Laplace transformation method ensures the analytical solution of the desired fractional linear time-invariant systems. The present article presents the necessary and sufficient conditions for controllability and observability of the generalised Caputo proportional fractional linear time-invariant systems. These two properties can play a more fundamental role in system analysis before controller and observer designs are engaged. Moreover, we have acquired the criterion for generalised Caputo proportional fractional linear time-invariant systems as Kalman rank conditions. Some numerical examples are presented to show the applicability of the paper to demonstrate our findings. Finally, we derive the necessary and sufficient controllability conditions for the generalised Caputo proportional fractional-order nonlinear Chua's electric circuit. Journal: International Journal of Systems Science Pages: 1410-1422 Issue: 7 Volume: 54 Year: 2023 Month: 05 X-DOI: 10.1080/00207721.2023.2177902 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2177902 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:7:p:1410-1422 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2186191_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Danhong Chen Author-X-Name-First: Danhong Author-X-Name-Last: Chen Author-Name: Yunfei Peng Author-X-Name-First: Yunfei Author-X-Name-Last: Peng Title: Positive effects of time delays on the stability of switched control systems with partial state feedback information Abstract: In this paper, a novel state-dependent switching controller with delayed positive partial state feedback is proposed to stabilise a controlled system with insufficient state information. At first, the controlled system is converted to a single-degree-of-freedom vibrational system by using an invertible transform and a second-order Taylor approximation for the time delay term. Then, appropriate control gain parameters and a state-dependent switching rule are designed via the physical meaning of the resulting vibrational system. By combining the advantages of delayed positive position feedback with the state-dependent switching mechanism, we find that the time delay can considerably improve the asymptotic stability of the controlled system. Finally, three numerical examples show that the proposed controller is effective and that time delay indeed plays a prominent positive role in switched control systems. Journal: International Journal of Systems Science Pages: 1563-1574 Issue: 7 Volume: 54 Year: 2023 Month: 05 X-DOI: 10.1080/00207721.2023.2186191 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2186191 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:7:p:1563-1574 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2178863_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Sunil Kumar Author-X-Name-First: Sunil Author-X-Name-Last: Kumar Author-Name: Anil Kumar Pal Author-X-Name-First: Anil Author-X-Name-Last: Kumar Pal Author-Name: Shyam Kamal Author-X-Name-First: Shyam Author-X-Name-Last: Kamal Author-Name: Xiaogang Xiong Author-X-Name-First: Xiaogang Author-X-Name-Last: Xiong Title: Design of switched high-gain observer for nonlinear systems Abstract: This paper proposes a switched high-gain observer with the desired convergence time for nonlinear systems. The proposed approach is based on a switching structure that plays an essential role, resulting in desired convergence and avoiding the observer's states' singularity. The main feature of this paper is that the observer's state converges to the actual state within the desired convergence time, where the convergence time is invariant with respect to the initial errors of the system. Moreover, the convergence time can be chosen at the will of the designer. The proposed method's results involve the high-gain principle and recent advancements in fixed-time observers. Further, the system's gain varies linearly (rather than square) with the order of the system. Using the Lyapunov theorem, the stability analysis of the proposed approach is investigated. Finally, two examples, (i) the Van der Pol oscillator circuit and (ii) Genesio–Tesi chaotic system demonstrate the efficacy of the proposed approach. Journal: International Journal of Systems Science Pages: 1471-1483 Issue: 7 Volume: 54 Year: 2023 Month: 05 X-DOI: 10.1080/00207721.2023.2178863 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2178863 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:7:p:1471-1483 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2180336_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: R. Sakthivel Author-X-Name-First: R. Author-X-Name-Last: Sakthivel Author-Name: N. Aravinth Author-X-Name-First: N. Author-X-Name-Last: Aravinth Author-Name: V. Thilagamani Author-X-Name-First: V. Author-X-Name-Last: Thilagamani Author-Name: R. Sasirekha Author-X-Name-First: R. Author-X-Name-Last: Sasirekha Title: Observer-based fault tolerant control design for periodic piecewise time-varying systems: a fault estimation approach Abstract: This study tackles the fault estimation issue for a continuous-time periodic piecewise time-varying systems (PPTVSs) with delays, fault signal and external disturbances. In particular, the PPTVSs are conjured up by segmenting the fundamental period of the periodic system into a finite number of subintervals. Moreover, fault estimator is designed in line with periodic piecewise observer systems to estimate the immeasurable states of the PPTVSs and the fault signal, simultaneously. Subsequently, in accordance with the estimated values of the fault signal and state dynamics, a fault-tolerant controller is devised. Moreover, by utilising Lyapunov stability theory and matrix polynomial lemma, sufficient criteria are procured in context of linear matrix inequalities to affirm the uniform boundedness of the undertaken system and error system. Further, relying on the acquired constraints, the precise configuration of the fault-tolerant control and observer gain matrices are proffered. Eventually, by offering two illustrative examples including mass-spring-damper system, the utility and potential of presented theoretical insights are validated. Journal: International Journal of Systems Science Pages: 1513-1530 Issue: 7 Volume: 54 Year: 2023 Month: 05 X-DOI: 10.1080/00207721.2023.2180336 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2180336 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:7:p:1513-1530 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2186754_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Chuanyi Ning Author-X-Name-First: Chuanyi Author-X-Name-Last: Ning Author-Name: Zhiyu Xi Author-X-Name-First: Zhiyu Author-X-Name-Last: Xi Title: Window-type detector for stealthy false data injection attack in cyber-physical systems Abstract: In recent years, the security issues of cyber-physical systems (CPSs) have attracted extensive attention from researchers. In this paper, a novel window-type detector (WTD) is designed for stealthy false data injection (FDI) attack targeted at CPSs. In the absence of attack, the evaluation value of a WTD is $ \chi ^{2} $ χ2 distributed because of the existence of Gaussian noise. In the presence of attack, the evaluation value of the WTD is the result of accumulating the residual data caused by attack signals, which is similar to the mechanism of a summation (SUM) detector. It is proved that when the duration of system operation is much larger than the attack duration squared, evaluation value of an SUM detector is $ \chi ^2 $ χ2 distributed due to the huge number of tolerable historical data. And the structure of finite window size prevents the WTD from failure in such a situation, which equips it with better performance in the detection of attacks with medium duration. Furthermore, it is proved that the closer the window size is to the attack duration, the larger the evaluation value is, which means that the better detection performance could be achieved. Finally, numerical examples are given to verify the characteristics of the WTD. Journal: International Journal of Systems Science Pages: 1602-1615 Issue: 7 Volume: 54 Year: 2023 Month: 05 X-DOI: 10.1080/00207721.2023.2186754 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2186754 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:7:p:1602-1615 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2180783_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Yuyan Zheng Author-X-Name-First: Yuyan Author-X-Name-Last: Zheng Author-Name: Jieqing Tan Author-X-Name-First: Jieqing Author-X-Name-Last: Tan Author-Name: Yangang Yao Author-X-Name-First: Yangang Author-X-Name-Last: Yao Author-Name: Xu Zhang Author-X-Name-First: Xu Author-X-Name-Last: Zhang Title: Dynamic event-triggered adaptive fuzzy control for stochastic nontriangular nonlinear systems with unknown backlash-like hysteresis Abstract: A finite-time adaptive control is discussed in this paper for stochastic nontriangular nonlinear systems with unknown backlash-like hysteresis. The performance function is introduced to ensure that the tracking error of the system converges to the specified region in a finite time. Secondly, a controller is proposed using the fuzzy logic systems to approximate the unknown functions and backstepping technique. In addition, adding the dynamic event-triggered mechanism is able to reduce the network resources more effectively. At last, a few simulation examples are presented to demonstrate effective performance. Journal: International Journal of Systems Science Pages: 1550-1562 Issue: 7 Volume: 54 Year: 2023 Month: 05 X-DOI: 10.1080/00207721.2023.2180783 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2180783 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:7:p:1550-1562 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2178865_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Liang Liu Author-X-Name-First: Liang Author-X-Name-Last: Liu Author-Name: Mengru Kong Author-X-Name-First: Mengru Author-X-Name-Last: Kong Title: Exponential output feedback control for a class of strict-feedback nonlinear systems with different time-delay states Abstract: In this paper, the output feedback control scheme is developed to investigate the exponential stabilisation problem for a class of strict-feedback nonlinear systems subject to different time-delay states. First of all, the memoryless full-order observer and output feedback controller which depend on the same designed parameter are provided respectively. And then, by tactfully introducing the suitable Lyapunov–Krasovskii functional and selecting the applicable parameter to be designed, the exponential stability of the closed-loop system can be achieved. Finally, a numerical example is used to illustrate the effectiveness of the proposed control scheme. Journal: International Journal of Systems Science Pages: 1503-1512 Issue: 7 Volume: 54 Year: 2023 Month: 05 X-DOI: 10.1080/00207721.2023.2178865 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2178865 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:7:p:1503-1512 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2177903_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Dipjyoti Das Author-X-Name-First: Dipjyoti Author-X-Name-Last: Das Author-Name: Sudipta Chakraborty Author-X-Name-First: Sudipta Author-X-Name-Last: Chakraborty Author-Name: Asim Kumar Naskar Author-X-Name-First: Asim Kumar Author-X-Name-Last: Naskar Title: Controller design on a new 2DOF PID structure for different processes having integrating nature for both the step and ramp type of signals Abstract: Chemical reactors, heat exchangers, level-loops, and distillation columns are commonly encountered in the chemical process industry, and these are having a significant role in the functioning of any chemical process. For the smooth and efficient functioning of any such process, a robust control law design is an important work to be considered. In this paper, a modified 2DOF robust PID control law has been developed to ensure satisfactory performance in both the step and ramp type references and disturbances. Controller parameters are derived with Maximum sensitivity, Gain, and Phase margin specifications. Case studies with different chemical processes like CSTR, distillation column, heat exchangers, and boiler drum level-loop are included for both the nominal and perturbed cases. Lastly, a performance comparison of ISE (Integral of square error), ITAE (Integral time absolute error), IAE (Integral absolute error), and Total variation (TV) of the control signal is also included. Journal: International Journal of Systems Science Pages: 1423-1450 Issue: 7 Volume: 54 Year: 2023 Month: 05 X-DOI: 10.1080/00207721.2023.2177903 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2177903 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:7:p:1423-1450 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2188983_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Li Zhang Author-X-Name-First: Li Author-X-Name-Last: Zhang Author-Name: Kang Li Author-X-Name-First: Kang Author-X-Name-Last: Li Author-Name: Dajun Du Author-X-Name-First: Dajun Author-X-Name-Last: Du Author-Name: Yihuan Li Author-X-Name-First: Yihuan Author-X-Name-Last: Li Author-Name: Minrui Fei Author-X-Name-First: Minrui Author-X-Name-Last: Fei Title: A regularised fast recursive algorithm for fraction model identification of nonlinear dynamic systems Abstract: The fraction model has been widely used to represent a range of engineering systems. To accurately identify the fraction model is however challenging, and this paper presents a regularised fast recursive algorithm (RFRA) to identify both the true fraction model structure and the associated unknown model parameters. This is achieved first by transforming the fraction form to a linear combination of nonlinear model terms. Then the terms in the denominator are used to form a regularisation term in the cost function to offset the bias induced by the linear transformation. According to the structural risk minimisation principle based on the new cost function, the model terms are selected based on their contributions to the cost function and the coefficients are then identified recursively without explicitly solving the inverse matrix. The proposed method is proved to have low computational complexity. Simulation results confirm the efficacy of the method in fast identification of the true fraction models for the targeted nonlinear systems. Journal: International Journal of Systems Science Pages: 1616-1638 Issue: 7 Volume: 54 Year: 2023 Month: 05 X-DOI: 10.1080/00207721.2023.2188983 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2188983 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:7:p:1616-1638 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2177904_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Xuefeng Zhang Author-X-Name-First: Xuefeng Author-X-Name-Last: Zhang Author-Name: Jin-Xi Zhang Author-X-Name-First: Jin-Xi Author-X-Name-Last: Zhang Author-Name: Wenkai Huang Author-X-Name-First: Wenkai Author-X-Name-Last: Huang Author-Name: Peng Shi Author-X-Name-First: Peng Author-X-Name-Last: Shi Title: Non-fragile sliding mode observer based fault estimation for interval type-2 fuzzy singular fractional order systems Abstract: In this paper, an interval type-2 fuzzy model is presented to describe the nonlinear singular fractional order systems (SFOSs) with $ 0 \lt \alpha \lt 2 $ 0<α<2. The problem of actuator and sensor fault estimation is addressed by designing a non-fragile sliding mode observer (SMO). Firstly, a new criterion is provided to analyse the admissibility of SFOSs, which does not need to divide the fractional order interval $ (0,2) $ (0,2) into interval $ (0,1) $ (0,1) and interval $ [1,2) $ [1,2) to study them separately. Then, by expanding the dimension of the SFOS, the non-fragile SMO and the sliding surface are constructed and the accurate estimations of faults and the SFOS state simultaneously are achieved. A new reaching law is designed, which can divide the process of the system moving to the sliding surface into three stages. Further the control law is constructed to guarantee the observation error reaches the sliding surface in finite time. Finally, three examples show the effectiveness of the proposed scheme. Journal: International Journal of Systems Science Pages: 1451-1470 Issue: 7 Volume: 54 Year: 2023 Month: 05 X-DOI: 10.1080/00207721.2023.2177904 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2177904 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:7:p:1451-1470 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2186193_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Xuxi Zhang Author-X-Name-First: Xuxi Author-X-Name-Last: Zhang Author-Name: Ting Chen Author-X-Name-First: Ting Author-X-Name-Last: Chen Author-Name: Xianping Liu Author-X-Name-First: Xianping Author-X-Name-Last: Liu Title: Distributed bipartite output containment control of heterogeneous multi-agent systems with directed signed graphs Abstract: This paper investigates the bipartite output containment control problem by utilising distributed control protocols for heterogeneous multi-agent systems over directed signed graphs. A fully distributed dynamic compensator is proposed to estimate the convex hull and symmetric convex hull spanned by states of leaders. Then, a distributed observer based on neighbour information is presented for estimating the state of each follower. An output feedback control protocol is further given based on the fully distributed dynamic compensator and neighbour-based observer to cope with the bipartite containment control problem of the linear heterogeneous multi-agent systems. Different from the related works, a neighbour-based observer is presented for heterogeneous multi-agent systems, in which the analysis method used in the Luenburger observer cannot be applied directly, because of the heterogeneity. Besides, the dynamics of the agents are allowed to not only have nonidentical coefficient matrices but also have different dimensions. A simulation example is shown to verify the effectiveness of the proposed theoretical results. Journal: International Journal of Systems Science Pages: 1588-1601 Issue: 7 Volume: 54 Year: 2023 Month: 05 X-DOI: 10.1080/00207721.2023.2186193 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2186193 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:7:p:1588-1601 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2210139_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Yakun Zhu Author-X-Name-First: Yakun Author-X-Name-Last: Zhu Author-Name: Jing Lu Author-X-Name-First: Jing Author-X-Name-Last: Lu Author-Name: Xiaoyu Du Author-X-Name-First: Xiaoyu Author-X-Name-Last: Du Author-Name: Ge Guo Author-X-Name-First: Ge Author-X-Name-Last: Guo Title: Fake information mechanism based privacy-preserving average consensus Abstract: In order to reach an agreement, each agent in distributed systems needs to exchange its state information with neighbours. In this case, however, it is difficult to guarantee sensitive information will not be leaked. To tackle the problem, this paper proposes an encryption method, which does not need to compromise accuracy to privacy, nor does it need to encrypt and decrypt state information every time. Meanwhile, the method in this paper not only keeps the initial state secret, but also considers the real-time state privacy. Then, we further elaborate two aspects of the proposed method by simple proofs. Finally, simulations are presented to verify the effectiveness of our algorithm. Journal: International Journal of Systems Science Pages: 1803-1814 Issue: 8 Volume: 54 Year: 2023 Month: 06 X-DOI: 10.1080/00207721.2023.2210139 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2210139 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:8:p:1803-1814 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2209873_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Han Li Author-X-Name-First: Han Author-X-Name-Last: Li Author-Name: Haonan Liu Author-X-Name-First: Haonan Author-X-Name-Last: Liu Author-Name: Chengbo Lan Author-X-Name-First: Chengbo Author-X-Name-Last: Lan Author-Name: Yiqi Yin Author-X-Name-First: Yiqi Author-X-Name-Last: Yin Author-Name: Peishu Wu Author-X-Name-First: Peishu Author-X-Name-Last: Wu Author-Name: Cheng Yan Author-X-Name-First: Cheng Author-X-Name-Last: Yan Author-Name: Nianyin Zeng Author-X-Name-First: Nianyin Author-X-Name-Last: Zeng Title: SMWO/D: a decomposition-based switching multi-objective whale optimiser for structural optimisation of Turbine disk in aero-engines Abstract: In this paper, a novel multidisciplinary design optimisation (MDO) algorithm is proposed, which is named as the decomposition-based switching multi-objective whale optimiser (SMWO/D). In particular, a penalty-Tchebycheff value-based decomposition framework is designed to decouple the strongly correlated conflicting objectives, so as to give comprehensive considerations to different disciplinary demands. To overcome the shortcoming of premature in the complicated multi-modal non-linear decision space, two adaptively switchable evolutionary modes are defined to enhance the ability of escaping from local optimum and promote a thorough global search with rich learning strategies. The proposed SMWO/D is evaluated on a series of benchmark functions, and the results show its competitiveness in terms of comprehensive performance as compared with other four popular decomposition-based multi-objective optimisation algorithms (MOAs). In addition, sensitivity analysis is carried out to determine the best parameter configuration of SMWO/D. Finally, in a case study of a real-world turbine disk structural optimisation, the practicality of the proposed SMWO/D is validated, which can effectively handle the multidisciplinary property of this complicated problem, thereby providing valuable experiences in the aero-engine MDO domain. Journal: International Journal of Systems Science Pages: 1713-1728 Issue: 8 Volume: 54 Year: 2023 Month: 06 X-DOI: 10.1080/00207721.2023.2209873 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2209873 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:8:p:1713-1728 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2192217_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Hui Jin Author-X-Name-First: Hui Author-X-Name-Last: Jin Author-Name: Zhi-Hua Xiao Author-X-Name-First: Zhi-Hua Author-X-Name-Last: Xiao Author-Name: Qiu-Yan Song Author-X-Name-First: Qiu-Yan Author-X-Name-Last: Song Author-Name: Zhen-Zhong Qi Author-X-Name-First: Zhen-Zhong Author-X-Name-Last: Qi Title: Structure-preserving model order reduction for K-power bilinear systems via Laguerre functions Abstract: This paper presents a series of structure-preserving model order reduction algorithms for K-power bilinear systems via Laguerre functions. The method first aims to rewritten the K-power bilinear system as a general bilinear system and calculate the approximate low-rank factors of the cross Gramian of the bilinear system by combining the idea of Laguerre functions expansion of the matrix exponential function. After that, the approximate balanced system of the K-power bilinear system is constructed by the corresponding projection transformation of each subsystem. In order to achieve the purpose of model order reduction, the states with smaller singular values are then truncated, so as to further obtain the reduced order model. For this approach, there is a disadvantage that unstable systems may be generated although the original one is stable. To alleviate the inadequacies of this approach, we have improved the model reduction procedure, which is based upon the dominant subspace projection method. In addition, we also carried out a correlation analysis on the stability of improved algorithms. Finally, numerical experiments are employed to substantiate the effectiveness of the presented algorithms. Journal: International Journal of Systems Science Pages: 1648-1660 Issue: 8 Volume: 54 Year: 2023 Month: 06 X-DOI: 10.1080/00207721.2023.2192217 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2192217 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:8:p:1648-1660 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2210128_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Shoujin Huang Author-X-Name-First: Shoujin Author-X-Name-Last: Huang Author-Name: Jun Shen Author-X-Name-First: Jun Author-X-Name-Last: Shen Title: Probabilistic stability of power control systems with Nakagami-m fading channels Abstract: This paper analyses the probabilistic stability of power control systems under Nakagami-m fading channels caused by multi-path propagation. First, the Nakagami-m fading model is utilised to capture the feature of shadowed fading channels. The Foschini–Miljanic algorithm is utilised to achieve the desired quality-of-service, and a stability condition is given for the power control system. Then, the probability of the system being stable is obtained for power control systems. Afterwards, the monotonicity of the probability with respect to the communication distance is revealed, which sheds light on the node configuration. Furthermore, it is shown that Nakagami-m fading links can model the channel gains better than Rayleigh fading links by adjusting the shape parameter. Finally, an example is given to illustrate the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 1746-1754 Issue: 8 Volume: 54 Year: 2023 Month: 06 X-DOI: 10.1080/00207721.2023.2210128 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2210128 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:8:p:1746-1754 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2210568_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Yuyang Zhou Author-X-Name-First: Yuyang Author-X-Name-Last: Zhou Author-Name: Randa Herzallah Author-X-Name-First: Randa Author-X-Name-Last: Herzallah Author-Name: Qichun Zhang Author-X-Name-First: Qichun Author-X-Name-Last: Zhang Title: Decentralised fully probabilistic design for stochastic networks with multiplicative noise Abstract: In this paper, we present an innovative decentralised control framework, designed to address stochastic dynamic complex systems that are influenced by multiple multiplicative noise factors. Our advanced approach builds upon the foundation of conventional Decentralised Fully Probabilistic Design (DFPD) by refining the Riccati equation to accommodate multiple noise sources effectively. By embracing the inherent stochastic nature of complex systems, our methodology fully characterises their dynamic behaviours using probabilistic state–space models, delivering a comprehensive representation of subsystem components. Importantly, the DFPD approach also incorporates system and input constraints by characterising their corresponding ideal distributions, ensuring optimal functionality and performance while adhering to permissible boundaries. To further enhance system performance, we introduce a probabilistic message passing architecture that enables seamless communication between neighbouring subsystems and promotes harmonised decision-making among local nodes. To demonstrate the efficacy of our proposed framework, we employ a three-inverted pendulum system as a numerical example and compare its performance to that of the conventional DFPD. Through this comparison, we showcase the advantages of our novel decentralised control approach in handling complex systems with multiple noise factors. Journal: International Journal of Systems Science Pages: 1841-1854 Issue: 8 Volume: 54 Year: 2023 Month: 06 X-DOI: 10.1080/00207721.2023.2210568 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2210568 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:8:p:1841-1854 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2208133_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Xi Li Author-X-Name-First: Xi Author-X-Name-Last: Li Author-Name: Qiankun Song Author-X-Name-First: Qiankun Author-X-Name-Last: Song Author-Name: Yurong Liu Author-X-Name-First: Yurong Author-X-Name-Last: Liu Title: Optimal control and non-zero-sum differential game for Hurwicz model considering uncertain dynamic systems with multiple input delays Abstract: Uncertainty theory is a field in axiomatic mathematics committed to disposing of belief degrees. By dint of uncertain theory and Hurwicz criterion, this article mainly addresses optimal control and non-zero-sum differential game of uncertain delay dynamic systems, which are depicted as a sort of uncertain differential equation with multiple input delays. Employing the technology of dynamic programming, the optimality principle is put forward and the optimality equation is formulated simultaneously to deal with the optimal control problem. In addition, an equilibrium equation is derived to solve the Nash equilibrium for the multi-player non-zero-sum uncertain differential game on the strength of the proposed optimality equation. An example is devised to illustrate the availability of the results in the end. Journal: International Journal of Systems Science Pages: 1676-1693 Issue: 8 Volume: 54 Year: 2023 Month: 06 X-DOI: 10.1080/00207721.2023.2208133 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2208133 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:8:p:1676-1693 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2209846_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Yuhan Zhang Author-X-Name-First: Yuhan Author-X-Name-Last: Zhang Author-Name: Lei Zou Author-X-Name-First: Lei Author-X-Name-Last: Zou Author-Name: Yang Liu Author-X-Name-First: Yang Author-X-Name-Last: Liu Author-Name: Derui Ding Author-X-Name-First: Derui Author-X-Name-Last: Ding Author-Name: Jun Hu Author-X-Name-First: Jun Author-X-Name-Last: Hu Title: A brief survey on nonlinear control using adaptive dynamic programming under engineering-oriented complexities Abstract: Nonlinear dynamics is frequently encountered in practical applications. Adaptive dynamic programming (ADP), which is implemented via actor/critic neural networks with excellent approximation capabilities, is appropriate to be used in finding the solution for the control problem in the presence of known/unknown nonlinear dynamics. The objective of this paper is to introduce state-of-the-art ADP-based algorithms and survey the recent advances in the ADP-based control strategies for nonlinear systems with various engineering-oriented complexities. Firstly, the main motivation of the ADP-based algorithms is thoroughly discussed, and the way of implementing the ADP-based algorithms is highlighted. Then, the latest research results concerning ADP-based control policy design for nonlinear systems are reviewed in detail, Finally, we conclude the survey by outlining the challenges and possible research topics in the future. Journal: International Journal of Systems Science Pages: 1855-1872 Issue: 8 Volume: 54 Year: 2023 Month: 06 X-DOI: 10.1080/00207721.2023.2209846 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2209846 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:8:p:1855-1872 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2189534_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Tuochen Li Author-X-Name-First: Tuochen Author-X-Name-Last: Li Author-Name: Cunxi Zheng Author-X-Name-First: Cunxi Author-X-Name-Last: Zheng Author-Name: Zhiguang Feng Author-X-Name-First: Zhiguang Author-X-Name-Last: Feng Author-Name: Thach N. Dinh Author-X-Name-First: Thach N. Author-X-Name-Last: Dinh Author-Name: Tarek Raïssi Author-X-Name-First: Tarek Author-X-Name-Last: Raïssi Title: Real-time reachable set estimation for linear time-delay systems based on zonotopes Abstract: This paper considers reachable set estimation for discrete-time linear time-delay systems. With the assumption that the unknown initial condition and disturbances are bounded by zonotopes, three zonotope-based methods are proposed to estimate the real-time reachable sets. We find that the couplings in the time-delay systems lead to conservative estimation results and propose a reachable set estimation method based on state augmentation. The augmentation-based method can reduce the conservatisms caused by the time-delay and achieve more accurate reachable set estimation. Simulation results demonstrate the performances of the proposed methods. Journal: International Journal of Systems Science Pages: 1639-1647 Issue: 8 Volume: 54 Year: 2023 Month: 06 X-DOI: 10.1080/00207721.2023.2189534 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2189534 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:8:p:1639-1647 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2210140_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Fariba Bouzari Liavoli Author-X-Name-First: Fariba Author-X-Name-Last: Bouzari Liavoli Author-Name: Ahmad Fakharian Author-X-Name-First: Ahmad Author-X-Name-Last: Fakharian Author-Name: Hamid Khaloozadeh Author-X-Name-First: Hamid Author-X-Name-Last: Khaloozadeh Title: Sub-optimal controller design for time-delay nonlinear partial differential equation systems: an extended state-dependent differential Riccati equation approach Abstract: In this article, a sub-optimal controller based on Extended State-Dependent Differential Riccati Equation (ESDDRE) is suggested for a class of time-delay nonlinear Partial Differential Equation (PDE) systems. At first, an extended pseudo linearisation presentation for parameterisation form using State-Dependent Coefficients (SDC) is proposed. In this presentation, all the time-delay parts are placed in system matrices as well as in input vectors. By defining a cost function and a Hamiltonian related to the PDE systems, the sub-optimal control law regarded on the ESDDRE is obtained. The stability of the closed-loop system based on the ESDDRE control approach is ensured by using a proper Lyapunov function and also Poincaré inequality. Numerical simulation results for three time-delay nonlinear PDE systems illustrate the appropriate performance of the proposed control approach. Journal: International Journal of Systems Science Pages: 1815-1840 Issue: 8 Volume: 54 Year: 2023 Month: 06 X-DOI: 10.1080/00207721.2023.2210140 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2210140 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:8:p:1815-1840 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2210131_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Guiying Zang Author-X-Name-First: Guiying Author-X-Name-Last: Zang Author-Name: Shengli Shi Author-X-Name-First: Shengli Author-X-Name-Last: Shi Author-Name: Yuechao Ma Author-X-Name-First: Yuechao Author-X-Name-Last: Ma Title: Dynamic event-triggered synchronisation control for complex dynamical networks with stochastic attacks and actuator faults Abstract: This paper studies the problem of dynamic adaptive event-triggered synchronisation control for a class of complex dynamical networks (CDNs) with parameter uncertainty and stochastic network attacks. In order to save communication resources, reduce the driving burden and overcome the conservatism of fixed parameters, an improved event-triggered control strategy is designed. Firstly, a new synchronisation error model with uncertain of internal coupling weights between nodes and stochastic network attacks on actuator is modelled. Secondly, the Bernoulli stochastic distribution process is used to describe the probability of stochastic attacks, and the actuator failure model is adopted to depict actuator failure. By establishing an appropriate Lyapunov function, some sufficient conditions to ensure the asymptotic stability of the synchronisation error system is derived, which reduces conservatism. In addition, the cooperative design of controller and adaptive event-triggered strategy is solved by solving linear matrix inequality. Eventually, two examples are given to illustrate the effectiveness and potential of the proposed design method. Journal: International Journal of Systems Science Pages: 1755-1773 Issue: 8 Volume: 54 Year: 2023 Month: 06 X-DOI: 10.1080/00207721.2023.2210131 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2210131 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:8:p:1755-1773 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2208156_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Nguyen Thi Phuong Author-X-Name-First: Nguyen Author-X-Name-Last: Thi Phuong Author-Name: Nguyen Huu Sau Author-X-Name-First: Nguyen Author-X-Name-Last: Huu Sau Author-Name: Mai Viet Thuan Author-X-Name-First: Mai Author-X-Name-Last: Viet Thuan Title: Finite-time dissipative control design for one-sided Lipschitz nonlinear singular Caputo fractional order systems Abstract: This paper presents an efficient analytical approach for solving the problem of dissipative control in one-sided Lipschitz singular Caputo fractional-order systems subject to nonlinear perturbations. The approach is based on mathematical transformations, and fractional calculus. A state feedback controller is designed to ensure that the closed-loop system is regular, impulse-free, and finite-time bounded with a dissipativity performance index. The results are established using tractable strict linear matrix inequalities (LMIs) without any equality constraint. Two numerical examples are provided to demonstrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 1694-1712 Issue: 8 Volume: 54 Year: 2023 Month: 06 X-DOI: 10.1080/00207721.2023.2208156 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2208156 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:8:p:1694-1712 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2209887_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Yuqing Shen Author-X-Name-First: Yuqing Author-X-Name-Last: Shen Author-Name: Shuli Sun Author-X-Name-First: Shuli Author-X-Name-Last: Sun Title: Distributed recursive filtering for multi-rate uniform sampling systems with packet losses in sensor networks Abstract: The distributed filtering problem is studied for a multi-rate uniform sampling linear discrete system over sensor networks, where packet losses may occur during data exchange between nodes. The multi-rate system is transformed into a single-rate system by using a virtual measurement method. At each sensor node, the estimates received from neighbour nodes are fused by matrix or scalar weighting according to their different estimation accuracy. A distributed recursive filter with the Kalman consensus filter structure is devised based on the fused estimate, where the filtering gain and consensus gain are solved by locally minimising an upper bound of the filtering error covariance. The obtained gains and the upper bound of the covariance depend on a group of free positive scalar parameters. The scalar parameters are optimised by minimising the upper bound of the covariance. It is proved that the upper bound of the covariance of the filter with optimal gains and parameters is smaller than the covariance of the local filter based on sensor measurements. It avoids calculating cross-covariance matrices between nodes and has small computational burden. The exponential boundedness in the mean square of the filtering error is analysed. A target tracking system verifies the effectiveness of the algorithm. Journal: International Journal of Systems Science Pages: 1729-1745 Issue: 8 Volume: 54 Year: 2023 Month: 06 X-DOI: 10.1080/00207721.2023.2209887 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2209887 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:8:p:1729-1745 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2210132_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Jiannan Chen Author-X-Name-First: Jiannan Author-X-Name-Last: Chen Author-Name: Fuchun Sun Author-X-Name-First: Fuchun Author-X-Name-Last: Sun Author-Name: Changchun Hua Author-X-Name-First: Changchun Author-X-Name-Last: Hua Title: Image-based prescribed performance visual servoing control of a QUAV with hysteresis quantised input Abstract: In this paper, a novel image-based prescribed performance visual servoing control scheme with hysteresis quantised input is proposed for quadrotor unmanned aerial vehicles (QUAVs, for short). First, based on the perspective projection principle, effective image features are defined on a image plane called virtual image plane, and the decoupled image feature dynamics are achieved with respect to target points. Then, the image feature dynamics and QUAV dynamics are combined to derive a nonlinear dynamic system, and the nonlinear system is decoupled into two subsystems based on the commonly used inner–outer loop control framework. Furthermore, the prescribed performance control-based visual servoing control scheme with hysteresis quantizer is designed, and the necessary stability proof is presented. Finally, the numerical simulations and experiments are conducted to validate the effectiveness of the proposed control scheme. Journal: International Journal of Systems Science Pages: 1774-1789 Issue: 8 Volume: 54 Year: 2023 Month: 06 X-DOI: 10.1080/00207721.2023.2210132 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2210132 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:8:p:1774-1789 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2210135_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Satoshi Hayakawa Author-X-Name-First: Satoshi Author-X-Name-Last: Hayakawa Author-Name: Takuya Nakagawa Author-X-Name-First: Takuya Author-X-Name-Last: Nakagawa Author-Name: Kazuma Hasegawa Author-X-Name-First: Kazuma Author-X-Name-Last: Hasegawa Author-Name: Hidetoshi Oya Author-X-Name-First: Hidetoshi Author-X-Name-Last: Oya Author-Name: Yoshikatsu Hoshi Author-X-Name-First: Yoshikatsu Author-X-Name-Last: Hoshi Title: Synthesis of adaptive gain robust model-following/tracking controllers for uncertain systems with multiple unknown dead-zone inputs via piecewise Lyapunov functions Abstract: This paper considers a design problem of adaptive gain robust model-following/tracking controllers for a class of uncertain systems with multiple unknown dead-zone inputs via piecewise Lyapunov functions. The parameters for dead-zone characteristics are assumed to be unknown, and an adaptive dead-zone inverse method is applied so as to reduce the effect for dead-zone non-linearities. Moreover, for the purpose of reducing the effects of matched and mismatched uncertainties, compensation inputs are introduced. The proposed adaptive gain robust model-following/tracking controller can achieve that the tracking error asymptotically converges to zero. In this paper, by using piecewise Lyapunov functions, we show sufficient conditions for the existence of the proposed adaptive gain robust model-following/tracking controller. Finally, an example is given to demonstrate the effectiveness of the proposed controller design method. Journal: International Journal of Systems Science Pages: 1790-1802 Issue: 8 Volume: 54 Year: 2023 Month: 06 X-DOI: 10.1080/00207721.2023.2210135 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2210135 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:8:p:1790-1802 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2208130_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Yuhang Jin Author-X-Name-First: Yuhang Author-X-Name-Last: Jin Author-Name: Xiaosen Ma Author-X-Name-First: Xiaosen Author-X-Name-Last: Ma Author-Name: Xueyang Meng Author-X-Name-First: Xueyang Author-X-Name-Last: Meng Author-Name: Yun Chen Author-X-Name-First: Yun Author-X-Name-Last: Chen Title: Distributed fusion filtering for cyber-physical systems under Round-Robin protocol: a mixed H2/H∞ framework Abstract: In this paper, the distributed mixed $ H_{2}/H_{\infty } $ H2/H∞ fusion filter design problem is investigated for a class of cyber-physical systems subject to non-ideal measurements under Round-Robin protocol. To save the limited communication resources, the Round-Robin protocol is employed to schedule the data transmissions from the sensors to the remote filters. The measurement is imperfect by taking into account the noises, the random saturations, nonlinearity perturbations and packet dropouts. The objective of this study is to propose a desired fusion filtering method that ensures the prescribed performance constraints on both the local and fusion filtering error dynamics. With the aid of Lyapunov function and stochastic analysis technique, a sufficient condition is established to guarantee the mixed $ H_2 $ H2/ $ H_{\infty } $ H∞ performance index for the local filtering error systems, and then the filter parameter matrices are derived by resorting to the solutions to some matrix inequalities. Subsequently, on the basis of the obtained local state estimates, the proper fusion parameters are acquired by solving a convex optimisation problem. Finally, a numerical example is provided to demonstrate the effectiveness of the designed fusion filter. Journal: International Journal of Systems Science Pages: 1661-1675 Issue: 8 Volume: 54 Year: 2023 Month: 06 X-DOI: 10.1080/00207721.2023.2208130 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2208130 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:8:p:1661-1675 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2213230_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Chengpeng Li Author-X-Name-First: Chengpeng Author-X-Name-Last: Li Author-Name: Qinyuan Ren Author-X-Name-First: Qinyuan Author-X-Name-Last: Ren Author-Name: Zuhua Xu Author-X-Name-First: Zuhua Author-X-Name-Last: Xu Author-Name: Jun Zhao Author-X-Name-First: Jun Author-X-Name-Last: Zhao Author-Name: Chunyue Song Author-X-Name-First: Chunyue Author-X-Name-Last: Song Title: Adaptive finite-time optimised impedance control for robotic manipulators with state constraints Abstract: In this paper, an adaptive finite-time impedance control strategy based on optimised backstepping (OB) technique is proposed for robotic manipulators subject to state constraints. The existing OB methods approximately solve the intractable Hamilton-Jacobi-Bellman equation by reinforcement learning (RL) with Bellman residual error, which has intricate actor-critic updating laws and persistence excitation requirement. To overcome this drawback, we construct the simplified RL updating laws by converting the problem to the solution of a positive-definite function, which is composed of actor-critic network weights. Then, the simplified RL updating laws can significantly reduce the controller complexity and relax the persistence excitation. Based on the barrier Lyapunov function, a barrier-type performance index function is constructed for the optimised controller under state constraints. The finite-time stability theory can guarantee the finite-time convergence property of the closed loop system without violating the prescribed constraints. Finally, we demonstrate the effectiveness of the proposed method in the simulation example with environment-robot interaction. Journal: International Journal of Systems Science Pages: 2040-2058 Issue: 9 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2213230 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2213230 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:9:p:2040-2058 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2210145_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Hui Li Author-X-Name-First: Hui Author-X-Name-Last: Li Author-Name: Liping Yan Author-X-Name-First: Liping Author-X-Name-Last: Yan Author-Name: Yuqin Zhou Author-X-Name-First: Yuqin Author-X-Name-Last: Zhou Author-Name: Yuanqing Xia Author-X-Name-First: Yuanqing Author-X-Name-Last: Xia Author-Name: Xiaodi Shi Author-X-Name-First: Xiaodi Author-X-Name-Last: Shi Title: Sequential fusion estimation for Markov jump systems with heavy-tailed noises Abstract: We study a sequential fusion estimation problem for Markov jump multi-sensor systems with heavy-tailed noises. By modelling the noises as Student's t distributions, a sequential fusion estimation algorithm is designed by utilising the interacting multiple model method and Bayes' rule. To improve the robustness against measurement outliers caused by measurement heavy-tailed noise, an F-distribution detection strategy is designed to detect and reject the measurement outliers. Simulation results demonstrate that the designed sequential fusion estimation algorithm can effectively fuse the measurements from multiple sensors, and the accuracy of the designed algorithm is superior to the existing interacting multiple model Student's t batch fusion algorithm and single model adaptive Student's t batch fusion algorithm when there exist model switching and disturbances with heavy-tailed property. Journal: International Journal of Systems Science Pages: 1910-1925 Issue: 9 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2210145 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2210145 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:9:p:1910-1925 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2210148_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Jie Zhang Author-X-Name-First: Jie Author-X-Name-Last: Zhang Author-Name: Yingnan Pan Author-X-Name-First: Yingnan Author-X-Name-Last: Pan Author-Name: Qing Lu Author-X-Name-First: Qing Author-X-Name-Last: Lu Title: Low-cost adaptive prescribed time tracking control for switched nonlinear systems Abstract: This paper addresses a low-cost adaptive prescribed time tracking control strategy for switched nonlinear systems with input quantisation and unknown backlash-like hysteresis. Initially, a transformation function is introduced into the control design, which allows the tracking error of the controlled systems to a specified accuracy within a preassigned settling time. Unlike the existing prescribed time control scheme that only uses transformation function technique in the first step of the backstepping design, the transformation function is introduced to each step of the controlled systems, which makes only one adaptive parameter that needs to be updated online. Then, to synthesise a low-cost control scheme, a first-order sliding mode differentiator and a single-parameter estimation method are implemented based on the newly constructed coordinate transformations. Meanwhile, the Nussbaum technique successfully solves the effects caused by the unknown control direction, unknown backlash-like hysteresis and quantised input. All signals of the closed-loop systems are bounded under the proposed control scheme with arbitrary switching signal. Finally, the validity of the presented method is confirmed via two simulation examples. Journal: International Journal of Systems Science Pages: 1945-1960 Issue: 9 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2210148 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2210148 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:9:p:1945-1960 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2212675_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Zhenning Zhang Author-X-Name-First: Zhenning Author-X-Name-Last: Zhang Author-Name: Xiaowu Mu Author-X-Name-First: Xiaowu Author-X-Name-Last: Mu Author-Name: Zenghui Hu Author-X-Name-First: Zenghui Author-X-Name-Last: Hu Title: Event-triggered adaptive control for delayed memristive neural networks with unknown parameters and external disturbances Abstract: The synchronisation problem is studied for master–slave memristive neural networks (MNNs) in this paper. For alleviating the burden of communication bandwidth, a novel event-triggered scheme of data transmission is designed in the sensor-to-controller (S-C) channel. To deal with the unknown parameters and disturbances of master–slave MNNs, the adaptive controller is designed with the system states of triggering instants. Different from existing results about event-triggered adaptive control (ETAC) for MNNs, in which the event-triggered mechanism (ETM) is installed in the controller-to-actuator (C-A) channel, the event-triggered scheme in this paper is designed between the sensor and the controller, so the information flow of S-C channel is discontinuous. The adaptive laws can only use discrete-time system states transmitted at triggering instants to update control gains in this paper. By means of the Lyapunov methods, adaptive control theories and event-triggered techniques, sufficient conditions for synchronisation and quasi-synchronisation are obtained. At the same time, the designed ETM can avoid Zeno behaviour theoretically. Finally, the validity of the obtained results is shown by two simulation examples. Journal: International Journal of Systems Science Pages: 2021-2039 Issue: 9 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2212675 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2212675 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:9:p:2021-2039 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2216274_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Xiaojian Yi Author-X-Name-First: Xiaojian Author-X-Name-Last: Yi Author-Name: Huiyang Yu Author-X-Name-First: Huiyang Author-X-Name-Last: Yu Author-Name: Ziying Fang Author-X-Name-First: Ziying Author-X-Name-Last: Fang Author-Name: Lifeng Ma Author-X-Name-First: Lifeng Author-X-Name-Last: Ma Title: Probability-guaranteed state estimation for nonlinear delayed systems under mixed attacks Abstract: In this paper, the problem of the networked set-membership state estimation is discussed for a class of nonlinear discrete time-varying systems subject to cyber attacks and time delays. Two forms of malicious attacks (i.e. Denial-of-Service (DoS) attack and bias injection attack) are taken into account to describe the adversary's attempt to destroy/deteriorate the system performance via communication network. It is the aim of the investigated issue to propose a set-membership state estimator ensuring the required estimation performance despite the existence of both the external mixed attacks and internal time delays. By resorting to the feasibility of a series of matrix inequalities, sufficient conditions are provided for the solvability of the addressed state estimator design problem. Furthermore, an optimisation strategy is developed with the purpose of seeking the local optimal estimator parameters. At last, a numerical simulation example is presented to demonstrate the effectiveness of the proposed theoretical algorithm. Journal: International Journal of Systems Science Pages: 2059-2071 Issue: 9 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2216274 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2216274 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:9:p:2059-2071 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2210147_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Shijia Kang Author-X-Name-First: Shijia Author-X-Name-Last: Kang Author-Name: Peter Xiaoping Liu Author-X-Name-First: Peter Author-X-Name-Last: Xiaoping Liu Author-Name: Huanqing Wang Author-X-Name-First: Huanqing Author-X-Name-Last: Wang Title: Finite-time command filter-based adaptive fuzzy output-feedback control for MIMO nonlinear systems with multiple actuator constraints Abstract: In this article, the finite-time adaptive fuzzy output-feedback control strategy is presented for a class of multi-input and multi-output (MIMO) nonlinear systems with multiple actuator constraints and unmeasured states. Fuzzy logic systems and a fuzzy adaptive state observer are adopted to estimate the nonlinear uncertainties and the unmeasured states, respectively. The inherent ‘explosion of complexity’ problem is eliminated by adopting command filter technology and the corresponding error compensation mechanism is exploited to alleviate the influence of the errors generated by command filters. It is further proved that all the signals can be fast finite-time bounded in the closed-loop systems based on the Lyapunov stability theory. Besides, the observer and tracking errors can reach a small region around the origin in fast finite time. Finally, the practicability of the presented theoretic result can be demonstrated through the numerical and practical examples. Journal: International Journal of Systems Science Pages: 1926-1944 Issue: 9 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2210147 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2210147 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:9:p:1926-1944 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2210144_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Shuo Xu Author-X-Name-First: Shuo Author-X-Name-Last: Xu Author-Name: Xi-Qin He Author-X-Name-First: Xi-Qin Author-X-Name-Last: He Author-Name: Li-Bing Wu Author-X-Name-First: Li-Bing Author-X-Name-Last: Wu Author-Name: Qing-Kun Yu Author-X-Name-First: Qing-Kun Author-X-Name-Last: Yu Title: Event-triggered tracking control for nonlinear time-varying delay systems with full state constraints and unknown control coefficients Abstract: This paper addresses the problem of event-triggered control for a class of nonlinear systems with unknown control coefficients, time-varying delays, full state constraints and external disturbances, simultaneously. Firstly, based on integral Barrier-Lyapunov Functionals, an adaptive event-triggered controller is designed to account for the impacts of complete state constraints, unknown time-varying delays and external disturbances. Using fuzzy logic systems, the unknown functions of systems are then roughly estimated. The system redundancy can be significantly reduced by implementing the event-triggered control technique in the meanwhile. By introducing the separation technique and Lyapunov–Krasovskii functionals, it is shown that the strategy can ensure tracking performance greatly and all the closed-loop signals of the system are bounded. Compared with the existing results, the proposed design scheme is less conservative and has a wilder application range. Finally, the simulation results show the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 1892-1909 Issue: 9 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2210144 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2210144 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:9:p:1892-1909 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2212652_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Min Wang Author-X-Name-First: Min Author-X-Name-Last: Wang Author-Name: Hongjing Liang Author-X-Name-First: Hongjing Author-X-Name-Last: Liang Author-Name: Liang Cao Author-X-Name-First: Liang Author-X-Name-Last: Cao Author-Name: Hongru Ren Author-X-Name-First: Hongru Author-X-Name-Last: Ren Title: Simplified optimised prescribed performance control for high-order multiagent systems with privacy preservation Abstract: This paper studies the consensus tracking problem based on optimised backstepping technique for multiagent systems with power exponential functions and the privacy protection. Under the optimised backstepping technique, the controllers with power functions are designed by utilising the reinforcement learning strategy. Moreover, the synchronisation error converges to a predetermined region within a user-defined settling time by utilising a speed function. To ensure the safety of communication, the privacy protection is applied to multiagent systems, which effectively prevent information exposure. Based on Lyapunov stability theory, the tracking errors of the system with power exponential functions converge to a predetermined region, and a simulation example proves the feasibility of the proposed strategy. Journal: International Journal of Systems Science Pages: 2004-2020 Issue: 9 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2212652 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2212652 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:9:p:2004-2020 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2211556_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Di Deng Author-X-Name-First: Di Author-X-Name-Last: Deng Author-Name: Junlin Xiong Author-X-Name-First: Junlin Author-X-Name-Last: Xiong Title: Event-triggered remote state estimation over a collision channel with incomplete information Abstract: This paper investigates the stochastic event-triggered remote state estimation problem over a collision channel. The remote estimator does not have the knowledge of the measurement in the case of collision and the origin of the data packet in the case of successful transmission, resulting in the non-Gaussianity of the estimation process in the two cases. By using a commonly used Gaussian approximation method, the posterior distribution of the system state is proved to be a mixture of two Gaussians and a mixture of three Gaussians in the cases of collision and successful transmission, respectively. Then an approximate minimum mean squared error estimator with adaptive weights is proposed, and the weights convexly combine the estimates for the possible transmission situations. Moreover, the proposed estimator is also shown to be conventional forms under three extreme situations. Finally, numerical results illustrate the effectiveness of the proposed estimator based on the incomplete information. Journal: International Journal of Systems Science Pages: 1987-2003 Issue: 9 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2211556 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2211556 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:9:p:1987-2003 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2210143_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Jiajin He Author-X-Name-First: Jiajin Author-X-Name-Last: He Author-Name: Min Xiao Author-X-Name-First: Min Author-X-Name-Last: Xiao Author-Name: Yunxiang Lu Author-X-Name-First: Yunxiang Author-X-Name-Last: Lu Author-Name: Zhen Wang Author-X-Name-First: Zhen Author-X-Name-Last: Wang Author-Name: Wei Xing Zheng Author-X-Name-First: Wei Xing Author-X-Name-Last: Zheng Title: Fractional-order PID control of tipping in network congestion Abstract: Tracing the rapid progress of communication network, the control of dynamic evolution of network has become a central issue. There are a lot of tipping phenomena in network congestion systems. Therefore, tipping control principally centres on traditional control policies, and some advanced control approaches need to be supplemented. In this paper, a fractional-order proportional-integral-derivative (PID) controller is introduced to a network congestion model to ponder corresponding bifurcation-induced tipping regulation. First, a fractional-order congestion model with fractional-order PID controller is constructed. Then the onset of the tipping induced by Hopf bifurcation of the uncontrolled model is studied. By contrast, the tipping point can be delayed under the controller for the controlled model. Some conditions under which Hopf bifurcation occurs are given. The stable and unstable ranges of control parameters for the controlled model are also deduced. At last, some simulated examples are given to verify the theoretical results and demonstrate the superiority of the controller in tipping regulation. Moreover, the bidirectional effects of the controller are displayed by manipulating the control parameters. Journal: International Journal of Systems Science Pages: 1873-1891 Issue: 9 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2210143 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2210143 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:9:p:1873-1891 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2210151_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: P. Princes Sindhuja Author-X-Name-First: P. Princes Author-X-Name-Last: Sindhuja Author-Name: V. Vijayan Author-X-Name-First: V. Author-X-Name-Last: Vijayan Author-Name: Rames C. Panda Author-X-Name-First: Rames C. Author-X-Name-Last: Panda Title: Control of time-delay systems through modified Smith predictor using sliding mode controller Abstract: Smith-Predictor (SP) is used as a dead-time compensating tool for chemical processes as they are Integrating-Plus-Dead-Time (IPDT), pure integrating-type process, and higher-order-integrating-process. The performances of these processes can be improved by modifying SP. The present work deals with the control of dead-time by integrating the first-order-plus-dead-time (IFOPDT) or first-order-plus-dead-time process (FOPDT), and a modified sliding-mode-controller (SMC) in the proposed modified-Smith-predictor (MSP) structure. Here, a modified novel SMC discontinuous tuning-parameter is derived analytically to satisfy performance criteria such as speed adjustment, reducing overshoot and chattering effects. Furthermore, the MSP-SMC structure is implemented in six different processes. This is done to counteract time-delay and constant load-disturbance for integrating processes and a nonlinear system separately. Also, the proposed work is implemented in the real-time lab setup of a neutralisation process. Furthermore, the robustness and invariance properties of the SMC have been analysed against parametric uncertainty. The optimality of the proposed controller parameters is tested by giving uncertainty in the dead time of the process parameters. The proposed design is also implemented in the non-linear and Multi-Input-Multi-Output processes. The performance metrics, IAEs, of 6 case studies have been obtained using MATLAB and the peak overshoots are compared with similar kinds of works.The discontinuous control law of SMC_MSP tuning equation KD has been modified.Modified novel KD equation is derived ANALYTICALLY to satisfy the performance criteria and implemented in the modified Smith predictor structure to counteract the dead time and constant load disturbanceSet point filter implemented eliminates the peak overshoot considerably.Set point tracking, disturbance rejection and robustness have been analysed.IFOPDT, ISOPDT, IHOPDT, Nonlinear CSTR and MIMO processes were simulated. Journal: International Journal of Systems Science Pages: 1961-1986 Issue: 9 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2210151 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2210151 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:9:p:1961-1986 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2221240_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Ali Amirparast Author-X-Name-First: Ali Author-X-Name-Last: Amirparast Author-Name: S. Kamal Hosseini Sani Author-X-Name-First: S. Kamal Author-X-Name-Last: Hosseini Sani Title: Undiscounted reinforcement learning for infinite-time optimal output tracking and disturbance rejection of discrete-time LTI systems with unknown dynamics Abstract: This paper proposes a novel control structure to solve the infinite-time linear quadratic tracking (LQT) problem. The major challenge in the LQT problem is the boundedness issue of the cost function in an infinite time framework. In many studies, a discount factor is utilised to overcome the challenge. However, it can affect the stability of the closed-loop system and the steady-state error. This paper proposes an optimal control structure that guarantees zero steady-state error with bounded cost function without utilising the discount factor. The optimal gains of the proposed control structure are computed via model-based and model-free reinforcement learning (RL) algorithms. As a novelty in model-based RL algorithms, a model predictive RL algorithm is proposed to reduce the number of iterations in the learning phase. A model-free reinforcement learning algorithm is utilised to obtain optimal control for tracking the reference online and without any knowledge of system dynamics. Finally, the simulation results verify the advantages of the proposed optimal control structure. Journal: International Journal of Systems Science Pages: 2175-2195 Issue: 10 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2221240 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2221240 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:10:p:2175-2195 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2224801_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Wenjing Wang Author-X-Name-First: Wenjing Author-X-Name-Last: Wang Author-Name: Liang Xu Author-X-Name-First: Liang Author-X-Name-Last: Xu Author-Name: Juanjuan Xu Author-X-Name-First: Juanjuan Author-X-Name-Last: Xu Author-Name: Xun Li Author-X-Name-First: Xun Author-X-Name-Last: Li Author-Name: Huanshui Zhang Author-X-Name-First: Huanshui Author-X-Name-Last: Zhang Title: Linear quadratic optimal control for time-delay stochastic system with partial information Abstract: This paper is concerned with the linear quadratic optimal control problem for the time-delay stochastic system with partial information. The main contribution is to derive the equivalent solvability condition and give the explicitly optimal controller under partial information in terms of the Riccati equations. The key is to explicitly solve the forward and backward stochastic difference equations with partial information, which is derived from the stochastic maximum principle. Journal: International Journal of Systems Science Pages: 2227-2238 Issue: 10 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2224801 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2224801 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:10:p:2227-2238 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2209566_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Jichi Yu Author-X-Name-First: Jichi Author-X-Name-Last: Yu Author-Name: Jueyou Li Author-X-Name-First: Jueyou Author-X-Name-Last: Li Author-Name: Guo Chen Author-X-Name-First: Guo Author-X-Name-Last: Chen Title: Online bandit convex optimisation with stochastic constraints via two-point feedback Abstract: In this paper, an online convex optimisation problem with stochastic constraints in the bandit setup is investigated. We are particularly interested in the scenario where the gradient information of both loss and constraint functions is unavailable. Under this scenario, only the values of loss and constraint functions at a few random points near the decision are provided to the decision maker after the decision is submitted. We first propose an online bandit algorithm based on the virtual queue in which two-point feedback is used to approximate the gradient feedback. Then we adopt the static benchmark to analyse the optimisation performance and establish the sub-linear expected static regret and sub-linear expected constraint violations of the proposed algorithm in the two-point bandit feedback setup. Moreover, the expected static regret and constraint violations are further improved to $ \mathcal {O}(\ln {T}) $ O(ln⁡T) when loss functions satisfy the condition of strong convexity. Finally, an online job scheduling numerical simulation is shown to demonstrate the performance of the proposed method and to corroborate the theoretical guarantees. Journal: International Journal of Systems Science Pages: 2089-2105 Issue: 10 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2209566 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2209566 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:10:p:2089-2105 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2210123_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Chunyan Zhang Author-X-Name-First: Chunyan Author-X-Name-Last: Zhang Author-Name: Deren Kong Author-X-Name-First: Deren Author-X-Name-Last: Kong Title: Cooperative circumnavigation by multiple second-order agents with prescribed formations Abstract: This paper studies the target circumnavigation problem by multiple second-order agents under directed topology. All agents need to surround the target with prescribed formation and circular velocity. Firstly, according to the control objectives, the cooperative circumnavigation problem is converted into the stability problem of the corresponding error system. Then, the error system is divided into two second-order subsystems, and a distributed controller comprised of two parts is delivered. The stability analysis of the whole system is given by the employing cascaded control theory. One key merit of the proposed controller is that the prescribed formation is an extensive case and unlimited, including different tracking radii and angular spacing. Another merit is that the communication topology among agents only needs to have a directed spanning tree. Furthermore, the controller can be implemented by each agent in its local frame so that only local information is utilised without knowing global information. These all extend the scope of practical application, the controller is more universal. Finally, the simulations validate the effectiveness of the proposed controllers. Journal: International Journal of Systems Science Pages: 2106-2117 Issue: 10 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2210123 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2210123 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:10:p:2106-2117 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2224520_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Xiuyu Zhang Author-X-Name-First: Xiuyu Author-X-Name-Last: Zhang Author-Name: Mohan Zhu Author-X-Name-First: Mohan Author-X-Name-Last: Zhu Author-Name: Guoqiang Zhu Author-X-Name-First: Guoqiang Author-X-Name-Last: Zhu Author-Name: Chenliang Wang Author-X-Name-First: Chenliang Author-X-Name-Last: Wang Title: Adaptive approximated inverse control for a class of multi-agent systems with unknown control directions Abstract: An adaptive approximated inverse control scheme for a class of high-order nonlinear multi-agent systems with unknown control directions is proposed in this paper. The adaptive control problem under the case it is not required to be identical for the unknown control directions is solved by some novel Nussbaum functions and a monotonously increasing sequence, leading our multiple Nussbaum functions reinforce rather than counteract each other. Also, it is introduced in the design and analysis like some integrable auxiliary signals and a novel contradiction argument. Moreover, hysteresis nonlinearity is counteracted by constructing its approximated inverse compensator. With these efforts, stability analysis ensures that all the closed-loop system signals are uniformly bounded, and it is successfully achieved the asymptotic convergence of tracking error to zero, circumventing the obstacle caused by the unknown control directions. Experiment results illustrate the effectiveness of the proposed scheme. Journal: International Journal of Systems Science Pages: 2209-2226 Issue: 10 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2224520 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2224520 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:10:p:2209-2226 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2225505_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Mohammad Hossein Heydari Author-X-Name-First: Mohammad Hossein Author-X-Name-Last: Heydari Author-Name: Mohsen Razzaghi Author-X-Name-First: Mohsen Author-X-Name-Last: Razzaghi Author-Name: Shabnam Zhagharian Author-X-Name-First: Shabnam Author-X-Name-Last: Zhagharian Title: Numerical solution of distributed-order fractional 2D optimal control problems using the Bernstein polynomials Abstract: In this work, a new class of two-dimensional optimal control problems is introduced with the help of distributed-order fractional derivative in the Caputo form. The orthonormal Bernstein polynomials are used to make a numerical method to solve these problems. Through this way, some operational matrices are obtained for the classical and fractional derivatives of these polynomials to make effective utilisation of them in constructing the proposed method. The main advantage of the established method is that it turns the solution of the problem under consideration into a system of algebraic equations by approximating the state and control variables by the expressed polynomials and applying the method of Lagrange multipliers. The accuracy and capability of the proposed approach are investigated by solving some numerical examples. Journal: International Journal of Systems Science Pages: 2253-2267 Issue: 10 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2225505 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2225505 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:10:p:2253-2267 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2222007_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Hongxia Wang Author-X-Name-First: Hongxia Author-X-Name-Last: Wang Author-Name: Lianfeng Song Author-X-Name-First: Lianfeng Author-X-Name-Last: Song Author-Name: Yuxi Hu Author-X-Name-First: Yuxi Author-X-Name-Last: Hu Author-Name: Xiao Lu Author-X-Name-First: Xiao Author-X-Name-Last: Lu Title: Linear quadratic optimal regulation for multiplicative noise systems with special terminal penalty Abstract: This paper focuses on the linear quadratic optimal control problem for stochastic systems with a special terminal penalty. The specialty lies in that the terminal penalty is a quadratic term over the conditional expectations of the terminal state. The essential difficulty lies in an additional measurability constraint on the input induced by the conditional expectation term, which is shared by the control problems for the stochastic system with delays, rational expectations problems, control problems involving conditional expectation terms, asymmetric information control and so on. A new idea, dynamic programming combined with orthogonal decomposition, is proposed to deal with this problem. The orthogonal decomposition eliminates the additional measurability constraint on the input. The solvability condition and the optimal controller are obtained by developing generalised Riccati equations. Numerical experiment is provided to support the achieved results. Journal: International Journal of Systems Science Pages: 2196-2208 Issue: 10 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2222007 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2222007 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:10:p:2196-2208 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2221233_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Haichao Zhu Author-X-Name-First: Haichao Author-X-Name-Last: Zhu Author-Name: Weiyao Lan Author-X-Name-First: Weiyao Author-X-Name-Last: Lan Title: Output regulation problem with prescribed performance for nonlinear lower-triangular system Abstract: This paper addresses the output regulation problem with prescribed performance for nonlinear lower-triangular systems. To achieve the transient prescribed performance, the output transformation technique and barrier Lyapunov function technique are introduced to solve the output regulation problem. The prescribed performance control scheme based on normal backstepping is constructed not only to restrict the output error of the closed-loop system keeping in a prescribed performance bound, but also to achieve that the output tracks a designed trajectory asymptotically. The effectiveness of the proposed method is illustrated by two simulation examples. Journal: International Journal of Systems Science Pages: 2161-2174 Issue: 10 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2221233 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2221233 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:10:p:2161-2174 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2220715_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Yuchang Feng Author-X-Name-First: Yuchang Author-X-Name-Last: Feng Author-Name: Xue Li Author-X-Name-First: Xue Author-X-Name-Last: Li Author-Name: Donglin Shi Author-X-Name-First: Donglin Author-X-Name-Last: Shi Author-Name: Dawei Dai Author-X-Name-First: Dawei Author-X-Name-Last: Dai Title: An efficient robust model predictive control for nonlinear Markov jump systems with persistent disturbances using matrix partition Abstract: For a class of nonlinear Markov jump systems (MJSs), an efficient robust model predictive control (MPC) is designed with bounded persistent perturbations and hard constraints. Nonlinearity is considered as a description of polyhedral form. First, affine control inputs are introduced for the polytopic MJSs to provide the expected performance. Quadratic boundedness is then used to deal with bounded persistent perturbations to improve the robustness of the closed loop system. Then the large amount of online MPC computation problem is solved efficiently by matrix partitioning. The efficient MPC strategy not only ensures that the closed-loop system is stochastically stable but also reduces the amount of on-line computation and improves the efficiency of on-line computation. Finally, a numerical example and a nonlinear mechanical mass-spring-damper system are applied to elucidate the proposed algorithm. Journal: International Journal of Systems Science Pages: 2118-2133 Issue: 10 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2220715 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2220715 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:10:p:2118-2133 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2196276_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Zhong-Hua Pang Author-X-Name-First: Zhong-Hua Author-X-Name-Last: Pang Author-Name: Tong Mu Author-X-Name-First: Tong Author-X-Name-Last: Mu Author-Name: Fang-Yuan Hou Author-X-Name-First: Fang-Yuan Author-X-Name-Last: Hou Author-Name: Yuntao Shi Author-X-Name-First: Yuntao Author-X-Name-Last: Shi Author-Name: Jian Sun Author-X-Name-First: Jian Author-X-Name-Last: Sun Title: Two networked predictive control methods for output tracking of networked systems with plant-model mismatch Abstract: This paper addresses the output tracking control problem for networked systems with plant-model mismatch, where two-channel random network delays are considered. According to the different ways of obtaining future control commands, two networked predictive control (NPC) methods are designed. One is the NPC method using one-way time delays, called ONPC, and the other is the NPC method using round-trip time delays, called RNPC. Furthermore, they are compared in terms of the way of compensation for two-channel delays, prediction process, and communication load, respectively. Then, the closed-loop stability conditions of the RNPC system and the ONPC system for the plant-model mismatch and match cases are derived, and their output tracking performance is also theoretically analysed. Finally, the results of the theoretical analysis are verified through numerical simulation that illustrates the effectiveness of the proposed two NPC methods as well as their separate advantages. Journal: International Journal of Systems Science Pages: 2073-2088 Issue: 10 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2196276 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2196276 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:10:p:2073-2088 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2226678_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Zhicheng Kou Author-X-Name-First: Zhicheng Author-X-Name-Last: Kou Author-Name: Jinggao Sun Author-X-Name-First: Jinggao Author-X-Name-Last: Sun Author-Name: Guanghao Su Author-X-Name-First: Guanghao Author-X-Name-Last: Su Author-Name: Meng Wang Author-X-Name-First: Meng Author-X-Name-Last: Wang Author-Name: Huaicheng Yan Author-X-Name-First: Huaicheng Author-X-Name-Last: Yan Title: Hybrid-based model-free iterative learning control with optimal performance Abstract: In this paper, a hybrid-based model-free iterative learning control algorithm is proposed to improve the robustness and convergence speed of model-free iterative learning control in noisy environments. The proposed algorithm divides the iterative process into a rapidly decreasing error phase and an error convergence phase, and uses different control algorithms in different phases, thus combining different advantages of the original algorithms. In addition to this, this work proves the convergence and robustness of the proposed algorithm and summarises the design idea of this controller. Finally, the convergence performance of the algorithm in noisy environments and in variable reference trajectory environment is simulated to demonstrate the effectiveness of the algorithm proposed in this work. Journal: International Journal of Systems Science Pages: 2268-2280 Issue: 10 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2226678 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2226678 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:10:p:2268-2280 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2225497_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Erhan Yumuk Author-X-Name-First: Erhan Author-X-Name-Last: Yumuk Author-Name: Müjde Güzelkaya Author-X-Name-First: Müjde Author-X-Name-Last: Güzelkaya Author-Name: İbrahim Eksin Author-X-Name-First: İbrahim Author-X-Name-Last: Eksin Title: Fractional-order PID controller design via optimal selection strategy of frequency domain specifications Abstract: In this paper, a novel fractional-order Proportional-Integral Derivative (PID) controller design depending on optimal selection of frequency domain specifications is proposed for time delay systems. The frequency domain specification sets, namely, (i) phase margin and gain crossover frequency and (ii) phase margin and gain margin are determined so that the reference model is optimal according to three time domain performance indices, i.e. Integral Square Error (ISE), Integral Time Square Error (ITSE) and Integral Absolute Error (IAE). Here, the delayed Bode's ideal transfer function is employed in the reference model. Moreover, the stability region of the reference model is given via a theorem. In simulation studies, the proposed methodology is compared with other two different methods using the same frequency domain specifications. It is observed that the proposed optimal fractional-order PID controllers outperform according to the mentioned performance indices, and they also possess considerably acceptable performance in terms of other time domain specifications such as overshoot, settling time, etc. Journal: International Journal of Systems Science Pages: 2239-2252 Issue: 10 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2225497 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2225497 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:10:p:2239-2252 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2221226_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Haokun Qi Author-X-Name-First: Haokun Author-X-Name-Last: Qi Author-Name: Xinzhu Meng Author-X-Name-First: Xinzhu Author-X-Name-Last: Meng Title: Global dynamics of a stochastic reaction–diffusion predator–prey system with space-time white noise Abstract: This paper proposes a stochastic reaction–diffusion predator–prey system with fear under the interference of space-time white noise by using the related theories of stochastic partial differential equations. The motivation of this paper is twofold: (i) mathematically, to try to investigate the effects of environmental noise and diffusion on population dynamics; (ii) biologically, to study how environmental noise affects the permanence of species. First, we analyse the well-posedness of solutions. Then sufficient conditions for extinction and permanence of prey and predator populations are derived. Moreover, we present the existence and uniqueness of stationary distribution of this system. Finally, based on numerical simulations and theoretical analysis, it is revealed that (i) high-intensity white noise can lead to the extinction of predator populations; (ii) low-intensity white noise may prolong the period of periodic solutions. This study provides new theoretical guidance for exploring ecological issues in the face of environmental disturbance and spatial diffusion. Journal: International Journal of Systems Science Pages: 2134-2160 Issue: 10 Volume: 54 Year: 2023 Month: 07 X-DOI: 10.1080/00207721.2023.2221226 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2221226 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:10:p:2134-2160 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2230963_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Sayyed Mohammad Hoseini Author-X-Name-First: Sayyed Mohammad Author-X-Name-Last: Hoseini Title: Approximate solution of nonlinear optimal control problems with scale delay function via a composite pseudospectral approach Abstract: In this paper, a direct discretization method is used to approximate the nonlinear scale delayed optimal control problems. The technique is a pseudospectral collocation approach based on the Legendre-Gauss-Lobatto points. Firstly the domain of interest is divided into several adaptive subintervals, and then the traditional pseudospectral approach is used for each segment. This approach discretizes the optimal control problem with a scale delay function and transforms it into a nonlinear programming problem whose solution can be achieved via the existing solvers. The main advantages of this method are the simplicity of the structure and the ease of its implementation and execution. Moreover, the necessary and sufficient conditions of optimality associated with the scale-delayed control problems are obtained. To do this, a new transformation technique is proposed which transforms the scale delayed control problem into a constant delayed one. These conditions can be used to measure the accuracy of the approximate findings obtained by applying the suggested method. The effectiveness and usefulness of the discretization procedure are demonstrated by the implementation of the proposed method in some experimental examples. Journal: International Journal of Systems Science Pages: 2407-2422 Issue: 11 Volume: 54 Year: 2023 Month: 08 X-DOI: 10.1080/00207721.2023.2230963 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2230963 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:11:p:2407-2422 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2192220_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: The Editors Title: Solving the flexible job shop scheduling and lot streaming problem with setup and transport resource constraints Abstract: Statement of RemovalDue to a technical issue, this article incorrectly published in the International Journal of Systems Science instead of the International Journal of Systems Science: Operations & Logistics. Therefore, this article has been removed from International Journal of Systems Science and republished in the International Journal of Systems Science:Operations & LogisticsThe article is now available in the link: https://doi.org/10.1080/23302674.2023.2221072Article title: Solving the flexible job shop scheduling and lot streaming problemwith setup and transport resource constraintsAuthors: P. Yunusoglu & S. Topaloglu YildizJournal: International Journal of Systems ScienceVersion of Record Published Online: 25 March 2023DOI: http://doi.org/10.1080/00207721.2023.2192220 Journal: International Journal of Systems Science Pages: 2443-2443 Issue: 11 Volume: 54 Year: 2023 Month: 08 X-DOI: 10.1080/00207721.2023.2192220 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2192220 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:11:p:2443-2443 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2197434_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: The Editors Title: Impacts of sales mode and recycling mode on a closed-loop supply chain Abstract: Statement of RemovalDue to a technical issue, this article incorrectly published in the International Journal of Systems Science instead of the International Journal of Systems Science: Operations & Logistics. Therefore, this article has been removed from International Journal of Systems Science and republished in the International Journal of Systems Science:Operations & Logistics.The article is now available in the link: https://doi.org/10.1080/23302674.2023.2221076Article title: Impacts of sales mode and recycling mode on a closed-loop supply chainAuthors: N.WanJournal: International Journal of Systems ScienceVersion of Record Published Online: 06 April 2023DOI: http://doi.org/10.1080/00207721.2023.2197434 Journal: International Journal of Systems Science Pages: 2442-2442 Issue: 11 Volume: 54 Year: 2023 Month: 08 X-DOI: 10.1080/00207721.2023.2197434 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2197434 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:11:p:2442-2442 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2230189_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Peilin Yu Author-X-Name-First: Peilin Author-X-Name-Last: Yu Author-Name: Feiqi Deng Author-X-Name-First: Feiqi Author-X-Name-Last: Deng Author-Name: Xinzhi Liu Author-X-Name-First: Xinzhi Author-X-Name-Last: Liu Author-Name: Yuanyuan Sun Author-X-Name-First: Yuanyuan Author-X-Name-Last: Sun Title: Event-triggered polynomial input-to-state stability in mean square for pantograph stochastic systems Abstract: This article investigates the polynomial integral input-to-state stability in mean square (ms-PIISS) and polynomial $ (t+1)^{\aleph } $ (t+1)ℵ-weighted integral input-to-state stability in mean square ( $ (t+1)^{\aleph } $ (t+1)ℵ-weighted ms-PIISS) for pantograph stochastic systems. The above stability is achieved through dynamic event-triggered mechanism and static event-triggered mechanism. To avert Zeno behaviour in each sample path, our event-triggered mechanisms (ETMs) force a pause time after each successful execution, which will lead to intermittent detection of system status, thus greatly saving communication resources. One utilises the Hanalay-type inequality to obtain the less conservative stability criterion. In addition, a collaborative design method of ETM and linear controller is proposed. Ultimately, an paraphrastic example is shown to indicate the availability of the mentioned collaborative design process. Journal: International Journal of Systems Science Pages: 2301-2315 Issue: 11 Volume: 54 Year: 2023 Month: 08 X-DOI: 10.1080/00207721.2023.2230189 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2230189 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:11:p:2301-2315 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2230974_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Hua Chen Author-X-Name-First: Hua Author-X-Name-Last: Chen Author-Name: Rui Xu Author-X-Name-First: Rui Author-X-Name-Last: Xu Author-Name: Tang Yao Author-X-Name-First: Tang Author-X-Name-Last: Yao Author-Name: Xinyuan Long Author-X-Name-First: Xinyuan Author-X-Name-Last: Long Title: Fault-tolerant iterative learning control for batch processes with time-varying state delays and uncertainties Abstract: A proportional-derivative (PD)-type iterative learning control (ILC) combined with fault-tolerant control (FTC) for a discrete-time batch process with time-varying delays and uncertainties is presented in this paper. The main goals of paper are to drive the considered output profile to the desired reference with the avoidance of possible process faults, delays and uncertainties. First, the nonlinear estimation problem is simplified to the linear one by introducing an appropriate system reparametrisation to deal with the problem of the simultaneous estimation of state and process fault. Second, to solve the problem of time-varying delays and uncertainties, this paper makes use of the two-dimensional (2-D) and repetitive characteristics of batch processes and introduces the state error, tracking error and estimation error to establish the dynamics model of FTILC that is eventually converted into a linear repetitive process model. Then, sufficient conditions based on the Lyapunov–Krasovskii theory and $ H_{\infty } $ H∞ methodology are established to ensure the robust stability along the trial in according with linear matrix inequalities (LMIs) for all uncertainties. Finally, this paper manifests the effectiveness of the proposed sufficient conditions by a simulation of injection moulding process. Journal: International Journal of Systems Science Pages: 2423-2441 Issue: 11 Volume: 54 Year: 2023 Month: 08 X-DOI: 10.1080/00207721.2023.2230974 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2230974 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:11:p:2423-2441 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2230225_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Ayyappadas Rajagopal Author-X-Name-First: Ayyappadas Author-X-Name-Last: Rajagopal Author-Name: Shaikshavali Chitraganti Author-X-Name-First: Shaikshavali Author-X-Name-Last: Chitraganti Title: State estimation and control for networked control systems in the presence of correlated packet drops Abstract: A networked control system is an enhanced version of a control system that works in tandem with two independent technologies, viz. communication and control. One of the major concerns in using wireless channels for measurement and control data transfer is packet drops. These packet drops can be correlated in time when considering a more realistic channel condition such as fading. The goal of this study is to develop a state estimation algorithm and optimal control strategy for networked control systems in the presence of correlated packet drops, determine bounds on estimation error covariance and validate the results through simulations using a specific mobile robot model. Journal: International Journal of Systems Science Pages: 2352-2365 Issue: 11 Volume: 54 Year: 2023 Month: 08 X-DOI: 10.1080/00207721.2023.2230225 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2230225 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:11:p:2352-2365 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2230469_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Mengjie Li Author-X-Name-First: Mengjie Author-X-Name-Last: Li Author-Name: Zihan Liu Author-X-Name-First: Zihan Author-X-Name-Last: Liu Author-Name: Tao Sun Author-X-Name-First: Tao Author-X-Name-Last: Sun Author-Name: Lijun Gao Author-X-Name-First: Lijun Author-X-Name-Last: Gao Title: Unified stability criteria of asynchronous discrete-time impulsive switched delayed systems: bounded admissible edge-dependent average dwell time method Abstract: This article investigates input-to-state stability (ISS) problem of asynchronous discrete-time impulsive switched delayed systems, in which switching and impulse may be asynchronous. A novel bounded admissible edge-dependent average dwell time (BAED-ADT) switching signal is designed. Based on this division rule of switching subsystems, we adopt the slow switching method for the stable subsystems and the fast switching method for the unstable subsystems, so that stable subsystems can compensate unstable subsystems. Combined with admissible edge-dependent average impulsive interval (AED-AII) impulsive signal, a new unified ISS stability result is established, which could be applied to impulsive switched systems with an arbitrary combination of unstable and stable subsystems. Without solving the linear matrix inequality, it is allowed to readjust the AED-ADT boundary of the newly proposed stability condition according to the actual impulsive and switching signal. Further, compared with the existing fruits, the new stability condition is an extension and improvement of the previous one, which is less conservative. Several numerical examples are provided to show the validity of the conditions and the advantages of the theoretic results. Journal: International Journal of Systems Science Pages: 2382-2406 Issue: 11 Volume: 54 Year: 2023 Month: 08 X-DOI: 10.1080/00207721.2023.2230469 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2230469 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:11:p:2382-2406 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2208114_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: The Editors Title: A sustainable supply chain coordination model with an investment in green technology and electric equipment Abstract: Statement of RemovalDue to a technical issue, this article incorrectly published in the International Journal of Systems Science instead of the International Journal of Systems Science: Operations & Logistics. Therefore, this article has been removed from International Journal of Systems Science and republished in the International Journal of Systems Science: Operations & Logistics. The article is now available at the link: https://doi.org/10.1080/23302674.2023.2221078 Journal: International Journal of Systems Science Pages: 2444-2444 Issue: 11 Volume: 54 Year: 2023 Month: 08 X-DOI: 10.1080/00207721.2023.2208114 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2208114 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:11:p:2444-2444 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2230207_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Antonio González-Sorribes Author-X-Name-First: Antonio Author-X-Name-Last: González-Sorribes Title: Hierarchical conditions for exponential stabilisation of time-varying delay systems using Bessel–Legendre inequalities and Finsler's lemma Abstract: This paper addresses the exponential stabilisation of time-varying delay systems by means of Lyapunov–Krasovskii approaches, Bessel–Legendre inequalities and Linear Matrix Inequalities (LMIs). The key aspect of the proposed control synthesis method is that the LMI conditions are proved for the first time to be hierarchical under time-varying delays, that is to say, a progressive conservatism reduction is achieved as long as the degree of Legendre polynomials is increased. To this end, Finsler's lemma has been properly applied to decouple the Lyapunov matrices from the controller gain. Finally, simulation results are provided to illustrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 2337-2351 Issue: 11 Volume: 54 Year: 2023 Month: 08 X-DOI: 10.1080/00207721.2023.2230207 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2230207 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:11:p:2337-2351 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2230464_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Chunwan Lv Author-X-Name-First: Chunwan Author-X-Name-Last: Lv Author-Name: Chufen Wu Author-X-Name-First: Chufen Author-X-Name-Last: Wu Author-Name: Ze-Hao Wu Author-X-Name-First: Ze-Hao Author-X-Name-Last: Wu Author-Name: Da-Yan Liu Author-X-Name-First: Da-Yan Author-X-Name-Last: Liu Title: Boundary state and output feedback stabilisation of a coupled time fractional hyperbolic equation Abstract: In this paper, the boundary stabilisation of a coupled time fractional hyperbolic equation system is investigated by both state and output feedback. A target system is first introduced, which, by the semigroup method and the Lyapunov one, is proved to admit a unique solution and is Mittag–Leffler stable. A boundary state feedback controller and state observer are designed via the backstepping technique, with explicit formulae for the gain functions. An observer-based output feedback stabilising controller is then proposed for the controlled system. Some rigorous theoretical proofs are given to demonstrate that the resulting closed-loop system under the state and output feedback controllers has a unique solution and is Mittag–Leffler stable. Some numerical simulations are performed to validate the effectiveness of the proposed control approach. Journal: International Journal of Systems Science Pages: 2366-2381 Issue: 11 Volume: 54 Year: 2023 Month: 08 X-DOI: 10.1080/00207721.2023.2230464 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2230464 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:11:p:2366-2381 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2228809_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Ke Xu Author-X-Name-First: Ke Author-X-Name-Last: Xu Author-Name: Huanqing Wang Author-X-Name-First: Huanqing Author-X-Name-Last: Wang Author-Name: Peter Xiaoping Liu Author-X-Name-First: Peter Author-X-Name-Last: Xiaoping Liu Title: Adaptive fixed-time output feedback formation control for nonstrict-feedback nonlinear multi-agent systems Abstract: In this paper, an adaptive fixed-time output feedback formation control problem is investigated for nonlinear multi-agent systems with a nonstrict-feedback structure. In the controller design procedure, the neural network state observer is designed to estimate the unmeasurable state variables. Dynamic surface control (DSC) technique is applied to avoid the repeated differentiation for the virtual control signals. The dynamic surface compensation signals can realise the practical fixed-time bounded. Utilising the classified discussion method, the difficulty of controller design caused by the existence of observer error term is addressed. The technique of transformation of the index set is employed to cope with the related variables of the neighbour states, which simplifies the controller design. Under the presented control mechanism, all closed-loop signals remain bound for a fixed period of time, the formation control performance target between all followers and leader can be achieved. And the formation errors and state observers errors are both bounded such that can converge to a little domain around zero. Simulation results are provided to test the availability of the presented strategy. Journal: International Journal of Systems Science Pages: 2281-2300 Issue: 11 Volume: 54 Year: 2023 Month: 08 X-DOI: 10.1080/00207721.2023.2228809 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2228809 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:11:p:2281-2300 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2230200_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Sevilay Tufenkci Author-X-Name-First: Sevilay Author-X-Name-Last: Tufenkci Author-Name: Baris Baykant Alagoz Author-X-Name-First: Baris Baykant Author-X-Name-Last: Alagoz Author-Name: Bilal Senol Author-X-Name-First: Bilal Author-X-Name-Last: Senol Author-Name: Radek Matušů Author-X-Name-First: Radek Author-X-Name-Last: Matušů Title: An overview of FOPID controller design in v-domain: design methodologies and robust controller performance Abstract: The complex v-plane is an emerging design domain for fractional order control system design. Recently, several works demonstrated the advantages of tuning FOPID controllers in v-plane. These approaches essentially perform the minimum angle pole placement to a target angle within the stability region of the v-plane and facilitate fractional order control system design tasks because of inherently guaranteed stabilisation of fractional order transfer functions. Accordingly, the optimal FOPID controller tuning problem can be simplified to placement of minimum angle system pole to a target point within the stability region of the v-plane. After reviewing previous v-domain design works, authors investigate prominent target points that can result in improved FOPID control performance for the v-domain design task. The consideration of target points in polar coordinates can provide two design parameters (angle and magnitude), which can convey essential system knowledge associated with the stability and control performance of FOPID control systems. In this perspective, effects of minimum angle pole positions on control performance indices are investigated in detail, and some prominent target points to manage FOPID design in v-domain have been reported. The v-domain design examples are illustrated to reveal the effects of the sampled pole positions on the robust control performance. Journal: International Journal of Systems Science Pages: 2316-2336 Issue: 11 Volume: 54 Year: 2023 Month: 08 X-DOI: 10.1080/00207721.2023.2230200 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2230200 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:11:p:2316-2336 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2240465_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Lexin Chen Author-X-Name-First: Lexin Author-X-Name-Last: Chen Author-Name: Yongming Li Author-X-Name-First: Yongming Author-X-Name-Last: Li Author-Name: Shaocheng Tong Author-X-Name-First: Shaocheng Author-X-Name-Last: Tong Title: Neural network adaptive consensus control for nonlinear multi-agent systems encountered sensor attacks Abstract: This paper investigates the neural network (NN) adaptive consensus output-feedback control problem for a class of nonlinear multi-agent systems (MASs) encountered sensor attacks. To overcome the impact of unknown sensor attacks, a NN estimation algorithm is adopted to estimate the unknown sensor attacks. Subsequently, a novel NN observer is established to estimate the states of encountered sensor attacks. Consequently, under the framework of backstepping control design, an adaptive NN consensus control method is proposed. By using the Lyapunov stability theory, the proposed consensus control method can not only ensure that all the signals of controlled MASs remain bounded, but also make all followers maintain consensus with the trajectory of the leader. Simulation results and comparative results illustrate the effectiveness of the proposed consensus control scheme. Journal: International Journal of Systems Science Pages: 2536-2550 Issue: 12 Volume: 54 Year: 2023 Month: 09 X-DOI: 10.1080/00207721.2023.2240465 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2240465 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:12:p:2536-2550 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2122904_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Yumei Zhou Author-X-Name-First: Yumei Author-X-Name-Last: Zhou Author-Name: Yuru Guo Author-X-Name-First: Yuru Author-X-Name-Last: Guo Author-Name: Chang Liu Author-X-Name-First: Chang Author-X-Name-Last: Liu Author-Name: Hui Peng Author-X-Name-First: Hui Author-X-Name-Last: Peng Author-Name: Hongxia Rao Author-X-Name-First: Hongxia Author-X-Name-Last: Rao Title: Synchronization for Markovian master-slave neural networks: an event-triggered impulsive approach Abstract: This paper investigates synchronisation for Markovian master-slave neural networks (NNs), where the transition probabilities of Markov chain are partially unknown and uncertain. To cope with the communication channel bandwidth constraint, an event-triggered impulsive transmission strategy is adopted, a corresponding impulsive controller is then designed. In this method, information transmission occurs only at some discontinous instants, which are determined by a state-dependent event-triggered condition as well as a predesigned forced impulse interval. Synchronization for Markovian master-slave NNs is guaranteed by a sufficient condition, and the controller gains are designed by using the obtained results. A numerical simulation is given to show the effectiveness of the presented method. Journal: International Journal of Systems Science Pages: 2551-2565 Issue: 12 Volume: 54 Year: 2023 Month: 09 X-DOI: 10.1080/00207721.2022.2122904 File-URL: http://hdl.handle.net/10.1080/00207721.2022.2122904 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:12:p:2551-2565 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2231460_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Wenjie Zhang Author-X-Name-First: Wenjie Author-X-Name-Last: Zhang Author-Name: Xianfu Zhang Author-X-Name-First: Xianfu Author-X-Name-Last: Zhang Author-Name: Yanjie Chang Author-X-Name-First: Yanjie Author-X-Name-Last: Chang Author-Name: Yanan Qi Author-X-Name-First: Yanan Author-X-Name-Last: Qi Title: Bipartite consensus of nonlinear multi-agent systems based on delayed output signals Abstract: This paper is concerned with the bipartite consensus problem via a sampled-data delayed output feedback consensus protocol in the presence of competition among the agents for a class of feedback nonlinear multi-agent systems. Firstly, the bipartite consensus problem of the system under investigation is converted into a stabilisation problem of another system by introducing a suitable state transformation. Then, a sampled-data delayed output feedback consensus protocol is designed by making use of all agents' output signals sampled at the present time and all agents' delayed output signals at the preceding n−1 sampling points. By virtue of Lyapunov–Krasovskii functional, it is verified that the bipartite consensus problem of the system under study can be addressed by the designed consensus protocol, with the sampling period T and constant gain L selected appropriately. Two simulation examples are provided to illustrate the effectiveness of the designed consensus protocol. Journal: International Journal of Systems Science Pages: 2485-2497 Issue: 12 Volume: 54 Year: 2023 Month: 09 X-DOI: 10.1080/00207721.2023.2231460 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2231460 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:12:p:2485-2497 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2233517_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Jiancheng Xu Author-X-Name-First: Jiancheng Author-X-Name-Last: Xu Author-Name: Yugang Niu Author-X-Name-First: Yugang Author-X-Name-Last: Niu Author-Name: Xinyu Lv Author-X-Name-First: Xinyu Author-X-Name-Last: Lv Author-Name: Wen Li Author-X-Name-First: Wen Author-X-Name-Last: Li Title: Sliding mode consensus control for multi-agent systems under component-based weighted try-once-discard protocol Abstract: This paper investigates the consensus problem of the multi-agent system by means of the sliding mode control (SMC) approach. For each agent, the component-based weighted try-once-discard protocol is used for scheduling the transmission of error signals via communication network to the controller. Only one node with the greatest difference at each moment can send its information through the network to the controller. Then, taking the protocol's impact into account, a token-dependent sliding mode controller is designed. Both the asymptotic stability of the closed-loop error system and the reachability of the specified sliding surface are achieved. In addition, by utilising the optimised solving algorithm, the controller gains are attained. Eventually, a simulation example proves the effectiveness of the suggested SMC approach. Journal: International Journal of Systems Science Pages: 2566-2578 Issue: 12 Volume: 54 Year: 2023 Month: 09 X-DOI: 10.1080/00207721.2023.2233517 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2233517 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:12:p:2566-2578 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2230212_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: C. Y. Wang Author-X-Name-First: C. Y. Author-X-Name-Last: Wang Author-Name: X. Y. Tian Author-X-Name-First: X. Y. Author-X-Name-Last: Tian Author-Name: Z. R. Xiang Author-X-Name-First: Z. R. Author-X-Name-Last: Xiang Author-Name: H. Li Author-X-Name-First: H. Author-X-Name-Last: Li Title: Sampled-point-based partition control of linear switched systems with a novel asynchronous switching rule Abstract: This paper investigates the aperiodic sampling stabilisation problem for a class of switched linear systems under asynchronous switching. Based on a novel dynamic sampling rule, a sampling-point-based partition-dependent discontinuous Lyapunov functions control approach are developed to make the considered closed-loop switched systems be globally asymptotically stable. Compared with the existing results, the proposed control method permits frequent switching in a sampling interval for subsystems. But the frequent information transmission to the matched controllers and the negative effect of long asynchronous running on system performance can be nicely handled in this paper. Moreover, the partitioned Lyapunov functions are allowed to increase in some segments of the synchronous operating intervals. Tighter synchronous duration and switching number which are determined by more than affine functions make the switching signal more flexible. Finally, simulation analyses of two examples show the advantages of the developed control strategy. Journal: International Journal of Systems Science Pages: 2465-2484 Issue: 12 Volume: 54 Year: 2023 Month: 09 X-DOI: 10.1080/00207721.2023.2230212 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2230212 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:12:p:2465-2484 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2233516_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Chunmei Zhang Author-X-Name-First: Chunmei Author-X-Name-Last: Zhang Author-Name: Yuli Feng Author-X-Name-First: Yuli Author-X-Name-Last: Feng Author-Name: Ran Li Author-X-Name-First: Ran Author-X-Name-Last: Li Author-Name: Hui Yang Author-X-Name-First: Hui Author-X-Name-Last: Yang Title: Synchronisation and topology identification of stochastic delayed multi-group models with multi-dispersal and Markovian switching Abstract: This paper is concerned with the synchronisation and topology identification of stochastic delayed multi-group models with multi-dispersal and Markovian switching (SDMM). Our model is characterised by a combination of the stochastic perturbation, multi-dispersal and Markovian switching, which can reasonably model the actual system. By utilising the graph theory, Lyapunov method and stochastically finite-time attractiveness, two sufficient criteria are obtained to ensure the topology identification of SDMM and finite-time topology identification of SDMM based on adaptive synchronisation and finite-time synchronisation, respectively. These criteria are closely related to the topology property of the network and can be easily verified in practice. Finally, two numerical examples are given to show the effectiveness of the main results. Journal: International Journal of Systems Science Pages: 2498-2518 Issue: 12 Volume: 54 Year: 2023 Month: 09 X-DOI: 10.1080/00207721.2023.2233516 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2233516 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:12:p:2498-2518 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_1968065_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Chunxiang Li Author-X-Name-First: Chunxiang Author-X-Name-Last: Li Title: Stability of delay differential systems under impulsive control suffered by logic choice Abstract: This paper focuses on the stability of delay differential systems under impulsive control suffered by logic choice. Firstly, an impulsive control suffered by logic choice is constructed for a delay differential system to make it more suitable for some practical problems. Secondly, by using a semi-tensor product, an effective method for qualitative analysis, such as stability analysis, of a differential delay system under impulsive control suffered by logic choice is proposed. That is, the properties of a differential delay system under impulsive control suffered by logic choice can be obtained by the properties of a corresponding non-impulsive differential delay system. Thirdly, some stability criteria are obtained. Finally, three illustrative examples are also discussed. Journal: International Journal of Systems Science Pages: 2442-2451 Issue: 12 Volume: 54 Year: 2023 Month: 09 X-DOI: 10.1080/00207721.2021.1968065 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1968065 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:12:p:2442-2451 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2233971_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Akın Osman Atagün Author-X-Name-First: Akın Osman Author-X-Name-Last: Atagün Author-Name: Hüseyin Kamacı Author-X-Name-First: Hüseyin Author-X-Name-Last: Kamacı Title: Strait fuzzy sets, strait fuzzy rough sets and their similarity measures-based decision making systems Abstract: In this paper, a new uncertainty modelling concept called strait fuzzy set is introduced, which brings new perspectives to both theoretical and practical advances in fuzzy mathematics. This set type allows objects/points to be graded with fuzzy membership intervals that are partitions of [0,1] (so that the union of these partitions is [0,1] and their intersection is empty) instead of fuzzy membership degrees represented as exact values in [0,1]. Moreover, some basic operations and properties of strait fuzzy sets are studied in detail. The concept of strait fuzzy rough set is put forward and its theoretical aspects are discussed. In addition, two different similarity approaches are proposed for strait fuzzy sets and strait fuzzy rough sets, and applied to measure the similarity rates of vaccines against influenza viruses. Journal: International Journal of Systems Science Pages: 2519-2535 Issue: 12 Volume: 54 Year: 2023 Month: 09 X-DOI: 10.1080/00207721.2023.2233971 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2233971 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:12:p:2519-2535 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2230196_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Changle Sun Author-X-Name-First: Changle Author-X-Name-Last: Sun Author-Name: Haitao Li Author-X-Name-First: Haitao Author-X-Name-Last: Li Title: State-flipped control and Q-learning for finite horizon output tracking of Boolean control networks Abstract: This article explores the state-flipped control mechanism for the finite horizon output tracking of Boolean control networks (BCNs) subject to a time-varying reference output trajectory. Firstly, the concept of joint control pair consisting of state-flipped control and traditional control is proposed, based on which, the joint reachability set of BCNs with joint control pair is given. Secondly, combining the joint reachability set with the output-correlation set, a necessary and sufficient condition is presented to determine the solvability of the finite horizon output tracking problem. Thirdly, a Q-learning based algorithm is developed to find both the minimum combination flip set and joint control pair sequence. Finally, an example is given to illustrate the proposed theoretical results. Journal: International Journal of Systems Science Pages: 2452-2464 Issue: 12 Volume: 54 Year: 2023 Month: 09 X-DOI: 10.1080/00207721.2023.2230196 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2230196 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:12:p:2452-2464 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2249160_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Emre Yildirim Author-X-Name-First: Emre Author-X-Name-Last: Yildirim Author-Name: Alexander Saltos Author-X-Name-First: Alexander Author-X-Name-Last: Saltos Author-Name: Tansel Yucelen Author-X-Name-First: Tansel Author-X-Name-Last: Yucelen Title: Control of misbehaving multiagent networks using driver and observer nodes Abstract: While applying control signals to every node is typically considered in multiagent networks to mitigate the adverse effects of misbehaving nodes, this control strategy may not always be possible due to physical constraints and/or economical limitations. Motivated by this standpoint, we have recently focused on how to control misbehaving multiagent networks through sending control signals to a subset of nodes (i.e. driver nodes) for suppressing the adverse effects of misbehaving nodes in the overall multiagent network, where the driver nodes only use their own state information to generate their control signals. To address the open problem where the driver nodes cannot obtain their own state information, the main contribution of this paper is that we now take into account that these nodes need to generate their control signals using the state information received from other subset of nodes (i.e. observer nodes). We characterise which nodes in the network behave as desired based on the selection of driver nodes and observer nodes in control of misbehaving multiagent networks. In addition, we provide numerical examples to illustrate the effectiveness of the proposed approach as well as the importance of the selection of driver and observer nodes for maximising the number of nodes that exhibit the desired responses. Journal: International Journal of Systems Science Pages: 2647-2662 Issue: 13 Volume: 54 Year: 2023 Month: 10 X-DOI: 10.1080/00207721.2023.2249160 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2249160 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:13:p:2647-2662 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2241961_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Juan Juan Peng Author-X-Name-First: Juan Juan Author-X-Name-Last: Peng Author-Name: Xin Ge Chen Author-X-Name-First: Xin Ge Author-X-Name-Last: Chen Author-Name: Xiao Kang Wang Author-X-Name-First: Xiao Kang Author-X-Name-Last: Wang Author-Name: Jian Qiang Wang Author-X-Name-First: Jian Qiang Author-X-Name-Last: Wang Author-Name: Qing Qi Long Author-X-Name-First: Qing Qi Author-X-Name-Last: Long Author-Name: Lv Jiang Yin Author-X-Name-First: Lv Jiang Author-X-Name-Last: Yin Title: Picture fuzzy decision-making theories and methodologies: a systematic review Abstract: With the generalisation of intuitionistic fuzzy sets (IFSs), picture fuzzy sets (PFSs) have been developed based on membership, neutral membership, and non-membership degrees. Compared with IFSs, PFSs can more accurately represent uncertainty in real-world decision-making problems. Recently, the research on decision-making theories and methods under picture fuzzy environments has been rapidly developing. Therefore, this manuscript presents a systematic review of picture fuzzy decision-making theories and methods, including the context in which this field was developed, the current status and advancements of this field, and the main research results obtained with the picture fuzzy information. First, this review introduces the development process of PFSs and the current status of corresponding theories. Next, the basic theories based on PFSs, including operations rules, measures, and aggregation operators are introduced. Afterward, this review summarises the current research on multi-criteria decision-making (MCDM), multi-criteria group decision-making (MCGDM), and large-scale group decision-making (LSGDM) methods with picture fuzzy information. Finally, future research directions of picture fuzzy decision-making theories and methodologies are discussed. Journal: International Journal of Systems Science Pages: 2663-2675 Issue: 13 Volume: 54 Year: 2023 Month: 10 X-DOI: 10.1080/00207721.2023.2241961 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2241961 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:13:p:2663-2675 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2241957_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Aoxiang Dong Author-X-Name-First: Aoxiang Author-X-Name-Last: Dong Author-Name: Andrew Starr Author-X-Name-First: Andrew Author-X-Name-Last: Starr Author-Name: Yifan Zhao Author-X-Name-First: Yifan Author-X-Name-Last: Zhao Title: Neural network-based parametric system identification: a review Abstract: Parametric system identification, which is the process of uncovering the inherent dynamics of a system based on the model built with the observed inputs and outputs data, has been intensively studied in the past few decades. Recent years have seen a surge in the use of neural networks (NNs) in system identification, owing to their high approximation capability, less reliance on prior knowledge, and the growth of computational power. However, there is a lack of review on neural network modelling in the paradigm of parametric system identification, particularly in the time domain. This article discussed the connection in principle between conventional parametric models and three types of NNs including Feedforward Neural Networks, Recurrent Neural Networks and Encoder-Decoder. Then it reviewed the advantages and limitations of related research in addressing two major challenges of parametric system identification, including the model interpretability and modelling with nonstationary realisations. Finally, new challenges and future trends in neural network-based parametric system identification are presented in this article. Journal: International Journal of Systems Science Pages: 2676-2688 Issue: 13 Volume: 54 Year: 2023 Month: 10 X-DOI: 10.1080/00207721.2023.2241957 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2241957 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:13:p:2676-2688 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2241958_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Kimberly Witke Author-X-Name-First: Kimberly Author-X-Name-Last: Witke Author-Name: Tansel Yucelen Author-X-Name-First: Tansel Author-X-Name-Last: Yucelen Title: Sequential formation control in multiagent systems Abstract: The problem of sequential formation control in multiagent systems is studied in this paper, where a team of agents is required to establish needed formations in order at user-defined times. To address this problem, our contribution is a finite-time distributed control architecture predicated on multiplex networks over directed graph topologies. The key feature of the multiplex networks is that it allows leader agent(s) to spatially alter the size and orientation of the resulting formation without requiring global information exchange ability. In addition, the key feature of the finite-time approach is to ensure that the overall multiagent system establishes a particular formation determined by the leader agent(s) at user-defined times. System-theoretical analysis of the proposed architecture is given using the time transformation approach along with Lyapunov stability theory, and an illustrative numerical example is also included to demonstrate the ability of the proposed architecture in addressing the sequential formation control problem. Journal: International Journal of Systems Science Pages: 2579-2589 Issue: 13 Volume: 54 Year: 2023 Month: 10 X-DOI: 10.1080/00207721.2023.2241958 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2241958 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:13:p:2579-2589 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2245543_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Quanmin Zhu Author-X-Name-First: Quanmin Author-X-Name-Last: Zhu Author-Name: Ruobing Li Author-X-Name-First: Ruobing Author-X-Name-Last: Li Author-Name: Jianhua Zhang Author-X-Name-First: Jianhua Author-X-Name-Last: Zhang Title: Model-free robust decoupling control of nonlinear nonaffine dynamic systems Abstract: This study presents a model-free robust input-output decoupling control with Nonlinear-Dynamic-Coupling Inversion/Inverter (NDCI) in a U-control framework. Regarding the decoupling, an input/output (I/O) coupling matrix function is proposed to derive two decouplers (U-decoupler/functional inversion and D-decoupler/static matrix inversion). A general existing theorem is proved for model-free sliding mode control (MFSMC) to lay the foundation for the NDCI, which takes the Lyapunov differential inequality for its derivative rather than the semi-define Lyapunov derivative. Accordingly, a multi-input and multi-output (MIMO) model-free decoupling U-control (MFDUC) platform is established to integrate the functionalities into a double closed-loop system framework. To validate the functionalities and configurations, this study presents transparent and comparative simulated bench tests, which also could be treated as user guidance for further study and ad hoc applications. Journal: International Journal of Systems Science Pages: 2590-2607 Issue: 13 Volume: 54 Year: 2023 Month: 10 X-DOI: 10.1080/00207721.2023.2245543 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2245543 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:13:p:2590-2607 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2245948_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Wenchengyu Ji Author-X-Name-First: Wenchengyu Author-X-Name-Last: Ji Author-Name: Yulian Jiang Author-X-Name-First: Yulian Author-X-Name-Last: Jiang Author-Name: Xiangpeng Xie Author-X-Name-First: Xiangpeng Author-X-Name-Last: Xie Author-Name: Shenquan Wang Author-X-Name-First: Shenquan Author-X-Name-Last: Wang Title: Parameter-dependent functional observer-based finite-time adaptive memory ISMC for continuous LPV systems with unknown nonlinear functions Abstract: This paper investigates a parameter-dependent (PD) functional observer-based finite-time adaptive memory integral sliding mode controller (ISMC) scheme for continuous linear parameter varying (LPV) systems with unknown nonlinear functions. First, a novel functional observer including parameters and parameter rates is proposed, and the observer gains can be directly designed. Different from the previous studies, a memory ISMC scheme with a time-varying delay through the functional observer is used for the first time in LPV systems to improve the performance. Moreover, to fully adopt the model characteristics of LPV systems and the functional observer, an integral PD surface function that contains PD input matrices and a memory parameter is established simultaneously. And then, an adaptive compensator is deduced for eliminating the influence of unknown nonlinear functions, so that the designed memory ISMC can make closed-loop LPV systems stable within a preset finite time. Furthermore, stability criteria with less conservatism for the LPV systems are proposed by memory Lyapunov–Krasovskii functional with measurable parameters. These criteria can guarantee LPV systems are finite-time boundedness with $ H_\infty $ H∞ performance (FTB- $ H_\infty $ H∞) on the sliding stage, arriving stage and entire finite-time region. Finally, a riderless bicycle is given to display the validity and superiority of the developed approach. Journal: International Journal of Systems Science Pages: 2626-2646 Issue: 13 Volume: 54 Year: 2023 Month: 10 X-DOI: 10.1080/00207721.2023.2245948 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2245948 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:13:p:2626-2646 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2245949_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Sheng-Sheng Dong Author-X-Name-First: Sheng-Sheng Author-X-Name-Last: Dong Author-Name: Yi-Gang Li Author-X-Name-First: Yi-Gang Author-X-Name-Last: Li Author-Name: Liwei An Author-X-Name-First: Liwei Author-X-Name-Last: An Title: Optimal strictly stealthy attacks in cyber-physical systems with multiple channels under the energy constraint Abstract: This work considers an innovation-based attack policy in cyber-physical systems with multiple channels. The linear deception attack policy only allows the partial channels to be compromised at each step due to the energy constraint in multiple channels. Compared to the existing results with the single channel, the attack matrices and the positions are time-varying in this work. For the multi-channel systems under the energy constraint, the attack policy is designed to determine the optimal attack locations to degrade the estimation performance of the system to the most extent. Then, it is proved that achieving the optimal attack policy is equivalent to solving a limited optimisation problem and a 0–1 programming problem, respectively. Furthermore, simulated examples are presented to illustrate the developed results. Journal: International Journal of Systems Science Pages: 2608-2625 Issue: 13 Volume: 54 Year: 2023 Month: 10 X-DOI: 10.1080/00207721.2023.2245949 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2245949 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:13:p:2608-2625 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2244122_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Weiru Guo Author-X-Name-First: Weiru Author-X-Name-Last: Guo Author-Name: Fang Liu Author-X-Name-First: Fang Author-X-Name-Last: Liu Author-Name: Runmin Zou Author-X-Name-First: Runmin Author-X-Name-Last: Zou Author-Name: Kangzhi Liu Author-X-Name-First: Kangzhi Author-X-Name-Last: Liu Title: Further results on stability analysis of delayed neural networks via a parameter-dependent quadratic function negative-definiteness lemma Abstract: This paper investigates the stability problem of delayed neural networks (DNNs) with time-varying delay. In the stability analysis of DNNs, the stability conditions are usually in form of second-order polynomial functions with respect to the time delay, which are nonlinear matrices inequalities and difficult to deal with. In order to obtain the stability criteria in terms of linear matrices inequalities (LMIs), some quadratic function negative-definiteness lemmas (QFNDLs) are proposed and widely employed. However, the research about QFNDL is still facing two challenges: large conservativeness and difficulty of optimisation. To overcome the challenges, this paper proposes a parameter-dependent quadratic function negative-definiteness lemma (PDQFNDL) to find the negative-definiteness condition. Compared with existing QFNDLs, the proposed lemma has two advantages: (i) Two moving points are introduced and the whole search interval is divided into two parts by an adjustable parameter, which contribute to the less conservativeness of stability criteria. (ii) The search interval of the adjustable parameter is smaller than the existing QFNDLs and the time of optimisation process is decreased. The proposed lemma is utilised to derive the less conservative stability criteria for DNNs based on a suitable Lyapunov–Krasovskii functional (LKF). Finally, the effectiveness and superiority of proposed stability criteria are demonstrated by several numerical examples. Journal: International Journal of Systems Science Pages: 2705-2717 Issue: 14 Volume: 54 Year: 2023 Month: 10 X-DOI: 10.1080/00207721.2023.2244122 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2244122 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:14:p:2705-2717 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2250490_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Xueying Ding Author-X-Name-First: Xueying Author-X-Name-Last: Ding Author-Name: Jianquan Lu Author-X-Name-First: Jianquan Author-X-Name-Last: Lu Author-Name: Haitao Li Author-X-Name-First: Haitao Author-X-Name-Last: Li Author-Name: Yang Liu Author-X-Name-First: Yang Author-X-Name-Last: Liu Title: Recent developments of Boolean networks with switching and constraints Abstract: A switched Boolean network (SBN) is an important model for describing hybrid phenomena in gene regulatory networks, and it has received increasing attention since the development of the semi-tensor product of matrices. This paper aims to present a comprehensive survey on SBNs. First, the fundamental issues for SBNs with arbitrary switching signals are reviewed, including stability, stabilisation, controllability, observability, optimal control, and synchronisation. Next, a brief review of the stability analysis of SBNs with constrained switching, consisting of time-dependent switching, state-dependent switching, and logical switching, is given. In addition, some basic results on the SBNs under non-ideal conditions are also introduced comprehensively. Journal: International Journal of Systems Science Pages: 2765-2783 Issue: 14 Volume: 54 Year: 2023 Month: 10 X-DOI: 10.1080/00207721.2023.2250490 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2250490 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:14:p:2765-2783 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2250042_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: J. I. S. Silveira Júnior Author-X-Name-First: J. I. S. Author-X-Name-Last: Silveira Júnior Author-Name: C. E. T. Dórea Author-X-Name-First: C. E. T. Author-X-Name-Last: Dórea Title: Reference tracking via output feedback for constrained uncertain linear systems Abstract: In this paper we propose a robust output feedback control scheme for constant reference tracking in uncertain linear systems subject to state and control constraints. First, we establish conditions under which a polyhedral set is Output Feedback Controlled Invariant with respect to a linear system subject to polytopic uncertainties, i.e. a set guaranteeing robust constraint satisfaction via output feedback. Then, we build a dynamic output feedback controller for the uncertain model based on set-membership observers, allowing the reduction of the set of possible states consistent with the measurements. Finally, to reduce the tracking error, we propose a model update procedure that adjusts the nominal model used for tracking to the output measurements. Numerical experiments illustrate the ability of the proposed controller to achieve reference tracking with reduced offset for the uncertain systems under consideration. To the best of our knowledge, it is one of the first works that addresses constant reference tracking in uncertain linear systems under constraints with output feedback. Journal: International Journal of Systems Science Pages: 2748-2764 Issue: 14 Volume: 54 Year: 2023 Month: 10 X-DOI: 10.1080/00207721.2023.2250042 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2250042 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:14:p:2748-2764 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2249159_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Ni Yang Author-X-Name-First: Ni Author-X-Name-Last: Yang Author-Name: Renjie Ji Author-X-Name-First: Renjie Author-X-Name-Last: Ji Author-Name: Huan Su Author-X-Name-First: Huan Author-X-Name-Last: Su Title: Existence and synchronization of coupled stochastic infinite-dimensional systems via aperiodically intermittent control Abstract: This paper analyzes a class of stochastic coupled systems with time-varying delays in infinite dimensions. The existence and uniqueness as a prerequisite to ensure synchronization of the solution is analyzed, based on the idea of the contraction mapping principle, graph theory, and mild Itô's formula. Next, the p-th moment exponential synchronization (PMES) of infinite-dimensional systems is realised using the discrete control strategy, namely, aperiodically intermittent control (AIC). By combining graph theory with the Lyapunov method, several criteria for synchronizing infinite-dimensional systems are obtained using the mild Itô's formula. These criteria show the effects of control parameters, topology, and time delays on PMES. Finally, the theoretical results are applied to a class of neural networks with reaction-diffusion, and some numerical simulations are also given. Journal: International Journal of Systems Science Pages: 2718-2733 Issue: 14 Volume: 54 Year: 2023 Month: 10 X-DOI: 10.1080/00207721.2023.2249159 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2249159 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:14:p:2718-2733 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2252961_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: I. Ferretti Author-X-Name-First: I. Author-X-Name-Last: Ferretti Author-Name: S. Zanoni Author-X-Name-First: S. Author-X-Name-Last: Zanoni Author-Name: L. E. Zavanella Author-X-Name-First: L. E. Author-X-Name-Last: Zavanella Title: Facility layout problem with auxiliary systems for energy efficiency Abstract: In the Facility Layout Design (FLD), little research considers the energy costs even though increasing attention is placed on the energy consumption related to auxiliary systems (i.e. electrical supply, process heat, refrigeration and compressed air). The approaches to solving the Facility Layout Problem (FLP) traditionally consider the costs related to the material flows, while the auxiliary systems are designed after the definition of the facility’s placement. However, the arrangement of departments/machines influences the investment cost, associated with the installation of the auxiliary systems and their operating costs which, in several cases, represent a relevant part of the overall costs. Considering an energy-efficient solution, the FLD should be based not only on the material flows but also on the auxiliary systems. The objective of this study is to present a novel approach to FLP that jointly allows the optimization of the machines arrangement by considering both investment and operating costs related to the electrical service jointly to material flows. A solution algorithm to address the positioning of the electrical panel board and the selection of electrical cable sections are presented. The results obtained show an overall total cost minimisation with consistent savings compared to the traditional FLP approach. Journal: International Journal of Systems Science Pages: 2799-2808 Issue: 14 Volume: 54 Year: 2023 Month: 10 X-DOI: 10.1080/00207721.2023.2252961 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2252961 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:14:p:2799-2808 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2241959_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Yumeng Cao Author-X-Name-First: Yumeng Author-X-Name-Last: Cao Author-Name: Ning Xu Author-X-Name-First: Ning Author-X-Name-Last: Xu Author-Name: Huanqing Wang Author-X-Name-First: Huanqing Author-X-Name-Last: Wang Author-Name: Xudong Zhao Author-X-Name-First: Xudong Author-X-Name-Last: Zhao Author-Name: Adil M. Ahmad Author-X-Name-First: Adil M. Author-X-Name-Last: Ahmad Title: Neural networks-based adaptive tracking control for full-state constrained switched nonlinear systems with periodic disturbances and actuator saturation Abstract: In this paper, an adaptive tracking control approach is developed for full-state constrained switched nonlinear systems that have actuator saturation, periodic disturbances and unknown control direction. To deal with the full-state constraints, the Barrier Lyapunov functions are introduced to limit the state variables within the corresponding constraint conditions. Meanwhile, the Fourier series expansion technology is employed to deal with unknown periodic disturbances and unknown nonlinear dynamics jointly. Additionally, a Nussbaum-type function is used in the controller design to cope with the and unknown control gain and input saturation. On the basis of the Lyapunov stability theory, it is demonstrated rigorously that all signals of the closed-loop system are uniformly ultimately bounded, and the proposed controller ensures that the tracking error is kept within a compact set close to zero. In the end, the validity of the designed control protocol is verified by a simulation example. Journal: International Journal of Systems Science Pages: 2689-2704 Issue: 14 Volume: 54 Year: 2023 Month: 10 X-DOI: 10.1080/00207721.2023.2241959 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2241959 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:14:p:2689-2704 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2249161_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Lixun Huang Author-X-Name-First: Lixun Author-X-Name-Last: Huang Author-Name: Xinyang Guo Author-X-Name-First: Xinyang Author-X-Name-Last: Guo Author-Name: Lijun Sun Author-X-Name-First: Lijun Author-X-Name-Last: Sun Author-Name: Qiuwen Zhang Author-X-Name-First: Qiuwen Author-X-Name-Last: Zhang Author-Name: Weihua Liu Author-X-Name-First: Weihua Author-X-Name-Last: Liu Author-Name: Zhe Zhang Author-X-Name-First: Zhe Author-X-Name-Last: Zhang Title: Method to filter the updated input of P-type ILC controllers with communication delays and noises Abstract: Communication interference affects the performance of networked iterative learning control (ILC) systems. In this paper, instead of designing new ILC controllers, we design a filter on the side of objects to calculate the updated input of ILC controllers under the effects of communication delays and noises in both links. To design the filter, a transmission model is developed to describe four different reception cases caused by communication delays and noises. Utilising the knowledge of ILC controllers and the developed transmission model, the filter is designed according to the orthogonality projection principle. Theoretical analysis and simulation results show that the calculated input effectively improves the convergence of objects controlled by the P-type ILC controller with communication delays and noises. Journal: International Journal of Systems Science Pages: 2734-2747 Issue: 14 Volume: 54 Year: 2023 Month: 10 X-DOI: 10.1080/00207721.2023.2249161 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2249161 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:14:p:2734-2747 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2252548_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Eduardo S. Tognetti Author-X-Name-First: Eduardo S. Author-X-Name-Last: Tognetti Author-Name: Tássio M. Linhares Author-X-Name-First: Tássio M. Author-X-Name-Last: Linhares Title: Local dynamic output feedback control of saturated discrete-time T-S fuzzy systems with partially measured premise variables Abstract: This paper aims to investigate the problem of designing locally stabilizing dynamic output feedback controllers and estimate the domain of attraction for discrete-time Takagi-Sugeno (T-S) fuzzy systems. A realistic scenario is assumed where the control signal is subject to saturation, and the premise variables are partially or completely unmeasured, that is, not available for the control law. As a result, the fuzzy output controller can have a different number of fuzzy rules and a different set of membership functions from the T-S model. To obtain locally stabilizable conditions, we propose modeling the variation rate of the membership functions without using upper bounds, a new contribution in the context of output control of discrete-time T-S systems. The design conditions are expressed as linear matrix inequality relaxations based on fuzzy Lyapunov functions using slack variables introduced by Finsler's lemma. Numerical examples illustrate the effectiveness of the approach. Journal: International Journal of Systems Science Pages: 2784-2798 Issue: 14 Volume: 54 Year: 2023 Month: 10 X-DOI: 10.1080/00207721.2023.2252548 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2252548 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:14:p:2784-2798 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2250041_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Mourya Thummalapeta Author-X-Name-First: Mourya Author-X-Name-Last: Thummalapeta Author-Name: Yen-Chen Liu Author-X-Name-First: Yen-Chen Author-X-Name-Last: Liu Title: Survey of containment control in multi-agent systems: concepts, communication, dynamics, and controller design Abstract: Cooperative robotics has gained considerable traction in the industrial sector with the expeditious use of multi-agent systems. Containment control is an emergent topic in cooperative multi-agent systems, with applications in areas such as warehouse robotics, inventory management, and transportation. Containment control is an amalgamation of formation and consensus control, which predominantly uses groups of multiple agents assigned as leaders and followers. This survey paper provides a comprehensive overview of key topics in containment control of multi-agent systems ranging from containment concepts to controllers. The paper discusses the role of communication and network topologies, the importance of accurate sensor measurements and agent dynamics, and various controller design and stability analysis techniques. The paper concludes by highlighting the promising research directions and challenges in the field along with real-world applications. Overall, this survey paper provides a valuable resource for researchers, practitioners, and students interested in the development of advanced multi-agent systems with containment control. Journal: International Journal of Systems Science Pages: 2809-2835 Issue: 14 Volume: 54 Year: 2023 Month: 10 X-DOI: 10.1080/00207721.2023.2250041 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2250041 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:14:p:2809-2835 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_1918282_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Mohammad Hosein Sabzalian Author-X-Name-First: Mohammad Hosein Author-X-Name-Last: Sabzalian Author-Name: Ardashir Mohammadzadeh Author-X-Name-First: Ardashir Author-X-Name-Last: Mohammadzadeh Author-Name: Sakthivel Rathinasamy Author-X-Name-First: Sakthivel Author-X-Name-Last: Rathinasamy Author-Name: Weidong Zhang Author-X-Name-First: Weidong Author-X-Name-Last: Zhang Title: A developed observer-based type-2 fuzzy control for chaotic systems Abstract: This study presents a novel observer-based fuzzy control for chaotic systems (CSs). A class of CSs with unmeasurable states, unknown input constraints and unknown dynamics is taken to account. A generalised type-2 (GT2) fuzzy logic system (FLS) is formulated to approximate the uncertainties. The parameters of GT2-FLS are adjusted through the tuning rules that are extracted from robustness investigation. The proposed method is applied on CSs and it is demonstrated that the suggested observer and control system result in good performance in versus of disturbances, uncertainties, unknown and time-varying input nonlinearities, unmeasurable states and noisy faults. Comparison with other type of fuzzy systems demonstrates that the proposed GT2-FLS based controller is more effective. Journal: International Journal of Systems Science Pages: 2921-2940 Issue: 15 Volume: 54 Year: 2023 Month: 11 X-DOI: 10.1080/00207721.2021.1918282 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1918282 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:15:p:2921-2940 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_1871528_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Xiehuan Li Author-X-Name-First: Xiehuan Author-X-Name-Last: Li Author-Name: Dan Ye Author-X-Name-First: Dan Author-X-Name-Last: Ye Title: Dynamic event-triggered distributed filtering design for interval type-2 fuzzy systems over sensor networks under deception attacks Abstract: This article investigates the event-based distributed filtering design issue for interval type-2 (IT2) fuzzy systems over sensor networks under deception attacks. In sensor networks, while each sensor receives its measurement value, it can also sense neighbouring one's measurement based on the interconnected topology, thereby estimating system states. To reduce redundant transmission, a novel distributed dynamic event-triggered mechanism (DETM) is introduced to each sensor node. In particular, the proposed DETM contains an internal dynamic variable, which is a filtered version of the trigger event signal to increase the interval between two consecutive event triggers. Then, a new distributed filter error fuzzy system is well constructed under the consideration of DETM, networked-induced delay, and random deception attacks. To relax stability conditions, slack matrices with membership functions (MFs) information are used in the stability analysis. Furthermore, based on Lyapunov–Krasovskii functional approach, membership-functions-dependent sufficient criteria are obtained to ensure the established filter error fuzzy system is mean-square stability with $ H_{\infty } $ H∞ performance. Two examples are finally shown to demonstrate the effectiveness of the filtering method. Journal: International Journal of Systems Science Pages: 2875-2890 Issue: 15 Volume: 54 Year: 2023 Month: 11 X-DOI: 10.1080/00207721.2020.1871528 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1871528 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:15:p:2875-2890 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_1910876_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Qi Li Author-X-Name-First: Qi Author-X-Name-Last: Li Author-Name: Hong Xue Author-X-Name-First: Hong Author-X-Name-Last: Xue Author-Name: Yingnan Pan Author-X-Name-First: Yingnan Author-X-Name-Last: Pan Author-Name: Hongjing Liang Author-X-Name-First: Hongjing Author-X-Name-Last: Liang Title: Dynamic output feedback control for interval type-2 fuzzy systems against DoS attacks and sensor failures Abstract: This article focuses on investigating a dynamic output feedback control issue for uncertain nonlinear networked control systems (NCSs) in the presence of Denial-of-Service (DoS) attacks and sensor failures. By using the low and upper membership functions (LUMFs) of interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy model, the uncertainties existing in the considered NCSs are depicted effectively. Based on the IT2 fuzzy system, a switching fuzzy model is further established to correspond to different DoS attack scenarios. According to the average dwell-time approach and Lyapunov stability theory, an IT2 fuzzy dynamic output feedback control scheme is proposed so that the exponential stability of the considered NCSs can be achieved regardless of DoS attacks and sensor failures. Lastly, illustrative examples are presented to confirm the theoretical results proposed in this paper. Journal: International Journal of Systems Science Pages: 2904-2920 Issue: 15 Volume: 54 Year: 2023 Month: 11 X-DOI: 10.1080/00207721.2021.1910876 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1910876 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:15:p:2904-2920 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_1927236_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Radu-Emil Precup Author-X-Name-First: Radu-Emil Author-X-Name-Last: Precup Author-Name: Radu-Codrut David Author-X-Name-First: Radu-Codrut Author-X-Name-Last: David Author-Name: Raul-Cristian Roman Author-X-Name-First: Raul-Cristian Author-X-Name-Last: Roman Author-Name: Alexandra-Iulia Szedlak-Stinean Author-X-Name-First: Alexandra-Iulia Author-X-Name-Last: Szedlak-Stinean Author-Name: Emil M. Petriu Author-X-Name-First: Emil M. Author-X-Name-Last: Petriu Title: Optimal tuning of interval type-2 fuzzy controllers for nonlinear servo systems using Slime Mould Algorithm Abstract: This paper presents a novel application of the metaheuristic Slime Mould Algorithm (SMA) to the optimal tuning of interval type-2 fuzzy controllers. Inserting the information feedback model F1 in SMA leads to a new version of the metaheuristic algorithm, further referred to as SMAF1. The paper discusses implementation details specific to interval type-2 fuzzy controllers for the position control of processes modelled by nonlinear servo systems with an integral component and dead zone plus saturation nonlinearity. The linear PI controllers are tuned on the basis of the Extended Symmetrical Optimum method using only one tuning parameter and next fuzzified to result in interval type-2 fuzzy controllers. The optimisation requires the minimisation of a discrete-time objective function expressed as the sum of time multiplied by squared control errors, and the vector variable is the parameter vector of the Mamdani PI fuzzy controller. Experimental results conclusively illustrate the superiority of SMAF1 and SMA in comparison with other metaheuristic algorithms. Journal: International Journal of Systems Science Pages: 2941-2956 Issue: 15 Volume: 54 Year: 2023 Month: 11 X-DOI: 10.1080/00207721.2021.1927236 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1927236 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:15:p:2941-2956 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_1867927_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Akram Sedaghati Author-X-Name-First: Akram Author-X-Name-Last: Sedaghati Author-Name: Naser Pariz Author-X-Name-First: Naser Author-X-Name-Last: Pariz Author-Name: Mehdi Siahi Author-X-Name-First: Mehdi Author-X-Name-Last: Siahi Author-Name: Roohollah Barzamini Author-X-Name-First: Roohollah Author-X-Name-Last: Barzamini Title: A new fractional-order developed type-2 fuzzy control for a class of nonlinear systems Abstract: In this paper, a novel fractional-order adaptive controller is presented for a class of nonlinear systems with unknown dynamics. The dynamics of the system is considered to be fully unknown. The multi-layer perceptron (MLP) neural network using restricted Boltzmann machine (RBMs) is employed for online dynamic identification. A deep learning method on the basis of contrastive divergence (CD) algorithm combined with the extended Kalman filter (EKF) is proposed for online optimisation. The proposed controller has two parts. The first part is a simple error feedback controller and the second one is the suggested DT2-FLS. The parameters of DT2-FLS are tuned such that a cost function of tracking error to be minimised and the closed-loop system to be stable. For the best knowledge of the authors, for the first time the tuning rules for the membership function and rule parameters of DT2-FLS are derived by error feedback learning method. The closed-loop stability is demonstrated with Lyapunov method and the well performance of the schemed controller is shown by applying on the induction motor and brushless DC motors. In addition to unknown dynamics, some disturbances are also considered such as abruptly changes in load torque and time-varying rotor resistance. Furthermore, the performance of the suggested scheme is compared with some popular controllers and FLSs. Journal: International Journal of Systems Science Pages: 2840-2858 Issue: 15 Volume: 54 Year: 2023 Month: 11 X-DOI: 10.1080/00207721.2020.1867927 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1867927 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:15:p:2840-2858 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_1892863_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Zhixiong Zhong Author-X-Name-First: Zhixiong Author-X-Name-Last: Zhong Author-Name: Ge Xu Author-X-Name-First: Ge Author-X-Name-Last: Xu Title: Disturbance estimation and compensation for discrete-time large-scale IT-2 T–S fuzzy descriptor systems Abstract: This paper studies disturbance estimation and compensation for discrete-time large-scale nonlinear descriptor systems with unknown measurement noises. Interval type-2 (IT-2) Takagi–Sugeno (T–S) fuzzy model is used to represent nonlinear dynamics, where fuzzy representation is assumed to be appearing not only in both the state and input matrices but also in the matrix of derivative state. First, by using a novel model transformation, the fuzzy representation in the derivative matrix is formulated into the linear one. Then, an augmented fuzzy observer is introduced to implement a synchronous estimation for the system state and the unknown measurement noise, which guarantees that reachable sets of the closed-loop system are bounded by a given ellipsoid. Moreover, a compensation-based controller is employed to remove or relieve the uncertainties induced by measurement noises. Finally, the validity of the obtained theories is testified by a numerical example. Journal: International Journal of Systems Science Pages: 2891-2903 Issue: 15 Volume: 54 Year: 2023 Month: 11 X-DOI: 10.1080/00207721.2021.1892863 File-URL: http://hdl.handle.net/10.1080/00207721.2021.1892863 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:15:p:2891-2903 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2229185_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Bo Xiao Author-X-Name-First: Bo Author-X-Name-Last: Xiao Author-Name: Hak-Keung Lam Author-X-Name-First: Hak-Keung Author-X-Name-Last: Lam Author-Name: Sakthivel Rathinasamy Author-X-Name-First: Sakthivel Author-X-Name-Last: Rathinasamy Title: Interval type-2 fuzzy-model-based control design and membership-functions-dependent analysis Journal: International Journal of Systems Science Pages: 2837-2839 Issue: 15 Volume: 54 Year: 2023 Month: 11 X-DOI: 10.1080/00207721.2023.2229185 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2229185 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:15:p:2837-2839 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_1869346_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20230119T200553 git hash: 724830af20 Author-Name: Yanchao Sun Author-X-Name-First: Yanchao Author-X-Name-Last: Sun Author-Name: Xinyan Chen Author-X-Name-First: Xinyan Author-X-Name-Last: Chen Author-Name: Ziwei Wang Author-X-Name-First: Ziwei Author-X-Name-Last: Wang Author-Name: Hongde Qin Author-X-Name-First: Hongde Author-X-Name-Last: Qin Author-Name: Ruijie Jing Author-X-Name-First: Ruijie Author-X-Name-Last: Jing Title: Adaptive interval type-2 fuzzy control for multi-legged underwater robot with input saturation and full-state constraints Abstract: In this paper, a trajectory tracking control strategy is proposed for multi-legged underwater robot in the presence of input saturation and full-state constraints. An anti-windup compensator is introduced to solve the input saturation problem, which can compensate for the saturation difference directly. Besides, the state constrains are addressed by a new state saturation function and the external unknown disturbances are solved by interval type-2 fuzzy neural network approximator. The dynamic surface control method combines with backstepping method is utilised to construct Lyapunov function. The control law and signals of the closed-loop system can be guaranteed to achieve semi-global uniform boundedness. Numerical simulations are presented to show the effectiveness of the proposed algorithm. Journal: International Journal of Systems Science Pages: 2859-2874 Issue: 15 Volume: 54 Year: 2023 Month: 11 X-DOI: 10.1080/00207721.2020.1869346 File-URL: http://hdl.handle.net/10.1080/00207721.2020.1869346 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:15:p:2859-2874 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2268239_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231203T183118 git hash: be90730853 Author-Name: Lucheng Sun Author-X-Name-First: Lucheng Author-X-Name-Last: Sun Author-Name: Tiejun Wu Author-X-Name-First: Tiejun Author-X-Name-Last: Wu Author-Name: Ya Zhang Author-X-Name-First: Ya Author-X-Name-Last: Zhang Title: A defense strategy for false data injection attacks in multi-agent systems Abstract: The issue of defense strategy for cooperative control in multi-agent systems under false data injection attacks is investigated in this paper. False data injection attacks are typical cyber-attacks, some of which can evade detection and result in system instability. A communication strategy is proposed to ensure the security of multi-agent systems. In the proposed defense strategy, each agent is assigned to transmit its state to its neighbours and extra communication edges are stochastically triggered by the designed trigger signals. Furthermore, the communication topology condition is derived to ensure the security of multi-agent systems under the defense strategy. The theoretical results are verified through numerical simulation. Journal: International Journal of Systems Science Pages: 3071-3084 Issue: 16 Volume: 54 Year: 2023 Month: 12 X-DOI: 10.1080/00207721.2023.2268239 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2268239 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:16:p:3071-3084 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2268233_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231203T183118 git hash: be90730853 Author-Name: S. Priyanka Author-X-Name-First: S. Author-X-Name-Last: Priyanka Author-Name: R. Sakthivel Author-X-Name-First: R. Author-X-Name-Last: Sakthivel Author-Name: H. R. Karimi Author-X-Name-First: H. R. Author-X-Name-Last: Karimi Author-Name: S. Saat Author-X-Name-First: S. Author-X-Name-Last: Saat Title: Output tracking control design with anti-disturbance rejection for modified repetitive nonlinear control systems Abstract: This paper intends to analyse the disturbance rejection and output tracking control for a class of nonlinear control systems with disturbances. In this connection, we present a method that combines a proportional-integral observer and nonlinear-equivalent-input-disturbance estimator for superior disturbance rejection performance. Specifically, the nonlinear-equivalent-input-disturbance estimator comprises of equivalent-input-disturbance estimator and nonlinear feedback term, which is employed to estimate and reject the disturbances from the nonlinear system. Notably, the proportional-integral loop in the proportional-integral observer reduces the estimation inaccuracy of the nonlinear-equivalent-input-disturbance. Then the estimated disturbance is intertwined into the repetitive control input to compensate it efficiently. In order to obtain the required results, the proposed control system is converted into a two-dimensional modified repetitive control system to describe the learning and control actions. In particular, the proposed controller enables to adjust the gains directly to improve the learning and control performance and as a result, the tracking accuracy increases. Using a general Lyapunov–Krasovskii functional, singular value decomposition technique and linear matrix inequalities approach, a design algorithm for establishing proportional-integral observer and feedback gains is developed for the system under consideration. Finally, simulation results are given to illustrate the developed method's validity and superiority. Journal: International Journal of Systems Science Pages: 2999-3012 Issue: 16 Volume: 54 Year: 2023 Month: 12 X-DOI: 10.1080/00207721.2023.2268233 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2268233 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:16:p:2999-3012 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2268234_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231203T183118 git hash: be90730853 Author-Name: Weiliang Xiong Author-X-Name-First: Weiliang Author-X-Name-Last: Xiong Author-Name: Defeng He Author-X-Name-First: Defeng Author-X-Name-Last: He Author-Name: Jianbin Mu Author-X-Name-First: Jianbin Author-X-Name-Last: Mu Author-Name: Xiuli Wang Author-X-Name-First: Xiuli Author-X-Name-Last: Wang Title: Adaptive stochastic model predictive control via network ensemble learning Abstract: This paper proposes a novel ensemble learning-based adaptive stochastic model predictive control (SMPC) algorithm for constrained linear systems with unknown nonlinear terms and random disturbances. The ensemble network combining a feedforward neural network and a Bayesian network is used to offline learn the nonlinear dynamics and disturbance distribution parameters. Then, the mixed-tube scheme is designed to cope with input constraints and state chance constraints while decreasing computational demands and conservativeness. The reliability of the stochastic tube is guaranteed using the Hoeffding inequality-based verification mechanism, which results in a chance constraint with double probabilities. The feasibility and exponential stability of the SMPC are rigorously proven. A numerical example verifies the merits of the proposed algorithm in terms of the control performance and the feasible domain. Journal: International Journal of Systems Science Pages: 3013-3026 Issue: 16 Volume: 54 Year: 2023 Month: 12 X-DOI: 10.1080/00207721.2023.2268234 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2268234 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:16:p:3013-3026 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2250491_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231203T183118 git hash: be90730853 Author-Name: V. Gokulakrishnan Author-X-Name-First: V. Author-X-Name-Last: Gokulakrishnan Author-Name: R. Srinivasan Author-X-Name-First: R. Author-X-Name-Last: Srinivasan Author-Name: M. Syed Ali Author-X-Name-First: M. Author-X-Name-Last: Syed Ali Author-Name: Grienggrai Rajchakit Author-X-Name-First: Grienggrai Author-X-Name-Last: Rajchakit Author-Name: Ganeshkumar Thakur Author-X-Name-First: Ganeshkumar Author-X-Name-Last: Thakur Title: Novel LMI-based adaptive boundary synchronisation of fractional-order fuzzy reaction–diffusion BAM neural networks with leakage delay Abstract: The boundary synchronisation problem of fractional-order fuzzy reaction–diffusion BAM neural networks with leakage delay is investigated. A novel adaptive boundary controller, Neumann boundary condition, and fuzzy feedback MIN and MAX templates of nonlinear dynamic fuzzy modelling are employed. We developed adaptive sufficient criteria to check the asymptotic stability of error dynamical system by using suitable Lyapunov functional, Wirtinger's inequality and LMI method, which guarantee the drive-response dynamical systems achieve the synchronisation. Meanwhile, two different controllers, adaptive full-domain and boundary controllers are developed. At last, numerical simulations are presented to demonstrate the feasibility of the theoretical results. Journal: International Journal of Systems Science Pages: 2975-2998 Issue: 16 Volume: 54 Year: 2023 Month: 12 X-DOI: 10.1080/00207721.2023.2250491 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2250491 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:16:p:2975-2998 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2268241_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231203T183118 git hash: be90730853 Author-Name: R. Sakthivel Author-X-Name-First: R. Author-X-Name-Last: Sakthivel Author-Name: S. Sweetha Author-X-Name-First: S. Author-X-Name-Last: Sweetha Author-Name: S. Mohanapriya Author-X-Name-First: S. Author-X-Name-Last: Mohanapriya Author-Name: O.M. Kwon Author-X-Name-First: O.M. Author-X-Name-Last: Kwon Title: Anti-disturbance observer-based proportional-retarded control design for polytopic uncertain fractional-order systems Abstract: This study deals with the stabilisation problem of fractional-order time-delay systems with polytopic uncertainties and multiple disturbances with the use of Lyapunov stability theory. Notably, the multiple disturbances comprising both the known and unknown signals, are respectively characterised by the norm-bounded and exogenous system which signifies the harmonic signals with modelling perturbations. The control protocol is configured by the integration of proportional-retarded controller with gain perturbations and the output of an anti-disturbance observer. Precisely, the disturbance observer is taken into account for attenuating the influence of disturbance signals. Moreover, the implementation of a time-delay term in the feedback loop replicates the dynamic features of a derivative action that relies only on position measurements and its time differencing capabilities make it to be minimally sensitive against noise and provide a smoothing effect. By virtue of these circumstances, the asymptotic stability of the considered system is assured. With the aid of a suitable Lyapunov function, a set of robust order-dependent sufficient conditions is derived and then solved through the MATLAB LMI toolbox. As a result, the controller gain matrices can be computed and two numerical examples, including an electrical circuit model with simulation results are presented to certify the inherent potential of the theoretical outcomes. Journal: International Journal of Systems Science Pages: 3098-3111 Issue: 16 Volume: 54 Year: 2023 Month: 12 X-DOI: 10.1080/00207721.2023.2268241 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2268241 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:16:p:3098-3111 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2268238_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231203T183118 git hash: be90730853 Author-Name: Miriam Flores-Padilla Author-X-Name-First: Miriam Author-X-Name-Last: Flores-Padilla Author-Name: Chidentree Treesatayapun Author-X-Name-First: Chidentree Author-X-Name-Last: Treesatayapun Title: Adaptive controller based on the affine equivalent model with disturbance rejection for discrete-time switched systems Abstract: Switched systems often have hard-to-determine models, and the switching time is often unknown. Mismatched model dynamics and/or switching time may lead to performance degradation. Hence, the present work develops an adaptive controller for single-input single-output nonlinear discrete-time switched systems when the mathematical model, switching time and input–output disturbances are unknown. An affine equivalent model-based on Multi-input Fuzzy Rules Emulated Network characterises the unknown system. The control law is derived according to the tracking error, a proposed sliding surface and the affine equivalent model. The controller parameters were set according to the stability analyses (Uniformly Ultimate Bounded-Lyapunov method). Several experiments, including non-switched and switched systems with input and output disturbances, showed a mean perceptual error of less or equal to $ 1 \% $ 1% for all cases, with recovery in the switch cases. This successfully proves the closed-loop performance of the proposed controller on a discrete-time switched and disturbed system. Journal: International Journal of Systems Science Pages: 3059-3070 Issue: 16 Volume: 54 Year: 2023 Month: 12 X-DOI: 10.1080/00207721.2023.2268238 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2268238 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:16:p:3059-3070 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2250043_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231203T183118 git hash: be90730853 Author-Name: Zhongyuan Zhao Author-X-Name-First: Zhongyuan Author-X-Name-Last: Zhao Author-Name: Lunchao Xia Author-X-Name-First: Lunchao Author-X-Name-Last: Xia Author-Name: Luyao Jiang Author-X-Name-First: Luyao Author-X-Name-Last: Jiang Author-Name: Quanbo Ge Author-X-Name-First: Quanbo Author-X-Name-Last: Ge Author-Name: Fang Yu Author-X-Name-First: Fang Author-X-Name-Last: Yu Title: Distributed bandit online optimisation for energy management in smart grids Abstract: This paper presents a distributed optimisation algorithm based on one-point bandit feedback (OPBF) which enables the solving of energy management problems (EMPs) over directed networks. Unlike existing EMPs with known cost functions, the proposed online energy management approach considers a time-varying and unknown cost function, which creates sampling difficulty. To tackle this challenge, a random gradient-free oracle is constructed, allowing for the facilitation of output generation updates. This construction significantly mitigates the need for explicit expressions of the cost function. Furthermore, the proposed algorithm successfully enforces both the supply-demand balance constraint and the generation constraint in EMPs. In order to evaluate performance, this study introduces a performance index referred to as regret, which exhibits sublinear convergence. This finding provides additional evidence that the algorithm can achieve optimal output generation at a rapid convergence rate, subject to certain step-size conditions. Finally, the performance of the algorithm is verified on both a modified 6-bus system and an IEEE 162-bus system. The results demonstrate the effectiveness and efficiency of the proposed algorithm in solving EMPs over directed networks. Journal: International Journal of Systems Science Pages: 2957-2974 Issue: 16 Volume: 54 Year: 2023 Month: 12 X-DOI: 10.1080/00207721.2023.2250043 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2250043 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:16:p:2957-2974 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2268235_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231203T183118 git hash: be90730853 Author-Name: R. Sakthivel Author-X-Name-First: R. Author-X-Name-Last: Sakthivel Author-Name: N. Aravinth Author-X-Name-First: N. Author-X-Name-Last: Aravinth Author-Name: T. Satheesh Author-X-Name-First: T. Author-X-Name-Last: Satheesh Author-Name: O. M. Kwon Author-X-Name-First: O. M. Author-X-Name-Last: Kwon Title: Input–output finite-time stabilisation for periodic piecewise polynomial systems with nonlinear actuator faults: an observer-based approach Abstract: This paper is concerned with the input–output finite-time (IO-FT) stabilisation problem for a class of continuous-time periodic piecewise polynomial systems (PPPSs) with immeasurable states and external disturbances via state estimation-based robust reliable controller. Firstly, to reflect the actuality, a parameter uncertainty that exhibits the random nature and the actuator faults with nonlinear character are considered in the addressed PPPSs and the control scheme, respectively. In detail, the randomness of uncertain parameters is portrayed by the stochastic variable and it is presumed to pursue the Bernoulli distributions. Secondly, to estimate the immeasurable states of PPPSs, a periodic piecewise polynomial observer is designed depending on the output of PPPSs. The main intent of this article is to devise a state estimation-based robust reliable controller to ascertain the IO-FT stabilisation of the PPPSs. Moreover, by bridging the Lyapunov stability theory, linear matrix inequality technique and IO-FT stability theory, the required IO-FT stabilisation conditions in the frame of linear matrix inequality are procured for the system under consideration. Eventually, simulation results of the addressed PPPSs are shown in line with the proposed analytical findings, revealing the competence, inherent capability and utility of the devised control protocol. Journal: International Journal of Systems Science Pages: 3027-3044 Issue: 16 Volume: 54 Year: 2023 Month: 12 X-DOI: 10.1080/00207721.2023.2268235 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2268235 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:16:p:3027-3044 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2268240_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231203T183118 git hash: be90730853 Author-Name: I. I. Zetina-Rios Author-X-Name-First: I. I. Author-X-Name-Last: Zetina-Rios Author-Name: G. L. Osorio-Gordillo Author-X-Name-First: G. L. Author-X-Name-Last: Osorio-Gordillo Author-Name: M. Alma Author-X-Name-First: M. Author-X-Name-Last: Alma Author-Name: M. Darouach Author-X-Name-First: M. Author-X-Name-Last: Darouach Author-Name: R.-A. Vargas-Méndez Author-X-Name-First: R.-A. Author-X-Name-Last: Vargas-Méndez Title: State estimation strategy for a class of nonlinear algebro-differential parameter-varying systems Abstract: This paper deals with the state estimation problem for nonlinear algebro-differential parameter-varying systems. Sufficient conditions for the existence of the observer which guarantee stability regarding Linear Matrix Inequalities constraints using the Lyapunov stability theory are given. The approach presented includes the proportional and proportional-integral observer as particular cases and allows some robustness concerning uncertainties and modelling errors and its steady state accuracy. A rolling disc model is given to illustrate our results. Journal: International Journal of Systems Science Pages: 3085-3097 Issue: 16 Volume: 54 Year: 2023 Month: 12 X-DOI: 10.1080/00207721.2023.2268240 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2268240 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:16:p:3085-3097 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2268237_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231203T183118 git hash: be90730853 Author-Name: Yi Shui Author-X-Name-First: Yi Author-X-Name-Last: Shui Author-Name: Lu Dong Author-X-Name-First: Lu Author-X-Name-Last: Dong Author-Name: Ya Zhang Author-X-Name-First: Ya Author-X-Name-Last: Zhang Author-Name: Changyin Sun Author-X-Name-First: Changyin Author-X-Name-Last: Sun Title: Event-based adaptive fuzzy tracking control for nonlinear systems with input magnitude and rate saturations Abstract: In this paper, an event-based adaptive fuzzy tracking control strategy for a class of uncertain nonlinear systems with limited control input and its rate of change is proposed. The unknown nonlinear function of the considered system is approximated by a fuzzy logic system (FLS). Furthermore, an event-triggered control method is developed to save the computing resources, in which the controller parameters are adaptively adjusted by a fuzzy controller. Moreover, it is proved by designing the Lyapunov function that the event-based controller can ensure that all signals of the controlled system are bounded. In addition, the tracking error can converge to a preset domain. Meanwhile, two practical simulations are given to demonstrate the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 3045-3058 Issue: 16 Volume: 54 Year: 2023 Month: 12 X-DOI: 10.1080/00207721.2023.2268237 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2268237 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:54:y:2023:i:16:p:3045-3058 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2268771_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: El Abed Assali Author-X-Name-First: El Author-X-Name-Last: Abed Assali Title: Different control strategies for predefined-time synchronisation of nonidentical chaotic systems Abstract: Control and synchronisation of chaotic systems have received much attention due to their various potential applications. In this paper, the predefined-time master–slave synchronisation of two chaotic systems is investigated. With the help of two different predefined-time stability theorems, two controllers are designed to achieve the predefined-time synchronisation of two nonidentical chaotic systems. Then based on inequality techniques and a Lyapunov function, some new sufficient criteria are obtained to ensure that two nonidentical chaotic systems achieve predefined-time synchronisation. Finally, numerical examples are given to show the effectiveness of our new results. Journal: International Journal of Systems Science Pages: 119-129 Issue: 1 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2268771 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2268771 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:1:p:119-129 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2268242_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Valiollah Ghaffari Author-X-Name-First: Valiollah Author-X-Name-Last: Ghaffari Title: Reference regulation of constrained uncertain discrete-time systems via robust predictive integral control Abstract: Reference regulation of uncertain systems is investigated in the discrete-time case. Hence, including the uncertainties and constraints, through a prediction-based controller, the set-point following will be robustly fulfilled in a class of uncertain systems. A novel idea is addressed to achieve this goal optimally. Thus the control synthesis is deliberately transformed into an optimisation issue subjected to some matrix inequality. In the real-time implementation, the controller’s parameters would be obtained when a minimisation problem is solved. The applicability of the method is evaluated in some examples. The superiority and robustness of the suggested procedure are remarkably validated by comparing it with a similar one. Journal: International Journal of Systems Science Pages: 1-15 Issue: 1 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2268242 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2268242 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:1:p:1-15 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2268769_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Yiwen Qi Author-X-Name-First: Yiwen Author-X-Name-Last: Qi Author-Name: Shitong Guo Author-X-Name-First: Shitong Author-X-Name-Last: Guo Author-Name: Yiwen Tang Author-X-Name-First: Yiwen Author-X-Name-Last: Tang Author-Name: Honglin Geng Author-X-Name-First: Honglin Author-X-Name-Last: Geng Author-Name: Jie Huang Author-X-Name-First: Jie Author-X-Name-Last: Huang Title: Safety MPC of constrained switched systems with control barrier function Abstract: This paper studies model predictive control (MPC) with control barrier function to solve the stability and safety problems of switched systems subject to input and state constraints. Considering that the system state is unmeasurable and disturbed, an observer-based MPC $ H_\infty $ H∞ method is adopted to estimate the system state and suppress disturbances. A cost function is designed to optimise the state and control input of switched systems by minimising its upper bound, and the optimisation problem is further transformed into a feasibility problem. Moreover, a control barrier function is introduced to constrain the controller gains, which ensures that the initial state of switched systems converges to the steady state without entering the specified unsafe region. Furthermore, a set of matrix inequality conditions is given to express the input and state constraints. Then, the Lyapunov function and average dwell time (ADT) approach are used to obtain sufficient conditions for the asymptotic stability of switched systems. Finally, two simulation examples are given to verify the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 87-101 Issue: 1 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2268769 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2268769 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:1:p:87-101 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2268773_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: N. Aravinth Author-X-Name-First: N. Author-X-Name-Last: Aravinth Author-Name: R. Sakthivel Author-X-Name-First: R. Author-X-Name-Last: Sakthivel Author-Name: T. Satheesh Author-X-Name-First: T. Author-X-Name-Last: Satheesh Author-Name: O. M. Kwon Author-X-Name-First: O. M. Author-X-Name-Last: Kwon Author-Name: S. Harshavarthini Author-X-Name-First: S. Author-X-Name-Last: Harshavarthini Title: Reference management-based resilient control for delayed periodic piecewise polynomial systems under proportional integral observer Abstract: This article examines the proportional integral observer (PIO)-based resilient tracking control problem for periodic piecewise polynomial systems (PPPSs) in the presence of time delay and disturbances. To be precise, the PPPSs are formulated by dividing the fundamental period of periodic systems into numerous subintervals, each of which is defined using matrix polynomial functions. Further, the PIO strategy is employed to estimate the states of the undertaken system with high precision wherein the integral term in PIO enhances the system's design flexibility and also increases its robustness. Taking advantage of these characteristics, a PIO-based tracking control is configured with gain perturbations to track the desired reference states. Moreover, to attenuate the implications made by disturbances in considered system design, $ H_\infty $ H∞ performance is employed. Furthermore, in order to establish adequate conditions in the form of linear matrix inequalities, the time-varying polynomial Lyapunov–Krasovskii functional is implemented. Then, the time-varying gain matrices of the control scheme and PIO configuration are computed by solving the obtained criteria through the MATLAB platform. Concludingly, to evidence for the discoveries' potential and usefulness, a numerical example is offered. Journal: International Journal of Systems Science Pages: 147-163 Issue: 1 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2268773 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2268773 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:1:p:147-163 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2268243_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Xiaohua Liu Author-X-Name-First: Xiaohua Author-X-Name-Last: Liu Author-Name: Pengyu Zeng Author-X-Name-First: Pengyu Author-X-Name-Last: Zeng Author-Name: Feiqi Deng Author-X-Name-First: Feiqi Author-X-Name-Last: Deng Author-Name: Ze-Hao Wu Author-X-Name-First: Ze-Hao Author-X-Name-Last: Wu Author-Name: Mengling Li Author-X-Name-First: Mengling Author-X-Name-Last: Li Title: Event-triggered ℒ2 − ℒ∞ control for discrete-time Markov jump systems with DoS attacks and exogenous disturbance Abstract: This paper is concerned with the event-triggered $ \mathcal {L}_2-\mathcal {L}_\infty $ L2−L∞ control problem for discrete-time Markov jump systems with DoS attacks and exogenous disturbance. Instead of one common event-triggering scheme, multiple triggering schemes are introduced to sample system signals and the event-triggered Markov closed-loop jump systems are further obtained under the full state feedback controller. Generally, mode information of subsystems is not completely available for the modules of trigger and controller such that asynchronous jump behaviour may occur among the modes of subsystems, triggering scheme and controller. Thus, a hidden Markov model (HMM) is developed to describe such asynchronous behaviour. Meanwhile, security issues of networks are widely studied in recent many literature. For discrete-time Markov jump systems, few works consider cyber attacks, especially periodic Denial-of-Service (DoS) attacks. Based on the HMM, the DoS attacks are taken into account and a set of sufficient conditions are further presented to guarantee the $ \mathcal {L}_2-\mathcal {L}_\infty $ L2−L∞ control performance of the resulting Markov closed-loop jump systems. Subsequently, the design of controller and event-triggering parameters are provided by using matrix inequality method. Finally, an example is given to show the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 16-32 Issue: 1 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2268243 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2268243 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:1:p:16-32 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2268244_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Jinbao Song Author-X-Name-First: Jinbao Author-X-Name-Last: Song Author-Name: Xuxi Zhang Author-X-Name-First: Xuxi Author-X-Name-Last: Zhang Title: Observer-based adaptive controllers for Lur'e multi-agent systems with a dynamic leader Abstract: This paper deals with the leader-following consensus problem of Lur'e multi-agent systems (MASs) under undirected topologies, in which the leader has an unknown input. First, based only on the relative outputs among neighbouring agents, a distributed unknown input observer (UIO) is introduced to estimate the relative state of each follower, and the observation errors can exponentially converge to zero. Then, we propose an observer-based discontinuous controller with adaptive gains and demonstrate that the tracking errors can converge to zero. Subsequently, we further propose an observer-based continuous controller with adaptive gains under which chattering phenomenon can be avoided. Unlike the related works, both controllers can achieve leader-following consensus in a fully distributed manner, meaning that they do not depend on the global communication topology structure and the upper bound of the leader's input. Furthermore, two tractable algorithms are devised for computing the gain matrices. Finally, some simulation examples are presented on Chua's circuit system to validate the theoretical results. Journal: International Journal of Systems Science Pages: 33-48 Issue: 1 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2268244 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2268244 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:1:p:33-48 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2268245_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Haiying Zhang Author-X-Name-First: Haiying Author-X-Name-Last: Zhang Author-Name: Zhengrong Xiang Author-X-Name-First: Zhengrong Author-X-Name-Last: Xiang Title: Finite-time robust adaptive simultaneous stabilisation of nonlinear time-delay systems with actuator saturation Abstract: This paper focuses on finite-time robust adaptive simultaneous stabilisation for nonlinear time-delay systems, taking into account actuator saturation and unknown parameters. Firstly, by employing adaptive control strategies and finite-time stability theory, a finite-time adaptive simultaneous stabilisation scheme for the nonlinear time-delay systems is developed. Secondly, utilising the orthogonal decomposition method, a finite-time robust adaptive simultaneous stabilisation scheme for nonlinear time-delay systems with external disturbances is proposed. Finally, simulations demonstrate the effectiveness of the provided control scheme. Journal: International Journal of Systems Science Pages: 49-67 Issue: 1 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2268245 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2268245 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:1:p:49-67 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2268772_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Wei Liu Author-X-Name-First: Wei Author-X-Name-Last: Liu Author-Name: Mou Chen Author-X-Name-First: Mou Author-X-Name-Last: Chen Author-Name: Kenan Yong Author-X-Name-First: Kenan Author-X-Name-Last: Yong Title: Flexible performance constraint-based control of a quadrotor UAV-suspended payload system under input saturation Abstract: In this article, a flexible performance constraint-based tracking control scheme is proposed for the anti-swing control of a quadrotor UAV-suspended payload system under external disturbance and input saturation. By applying system coupling relations and positive system theory, a self-regulating auxiliary system is constructed to generate correction signals to achieve the ability to regulate a prescribed performance function. The disturbance interval observer is employed to estimate the unknown disturbance. The interval width of the disturbance is used to design a continuous robust signal, enhancing the system's robustness. Additionally, it is with the intention of designing the controller for the under-actuated system to achieve effective tracking that the backstepping control scheme is used. It can always track the reference signal and satisfy flexible performance constraints based on theoretical analysis. Finally, the effectiveness of the proposed scheme is verified by experimental studies. Journal: International Journal of Systems Science Pages: 130-146 Issue: 1 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2268772 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2268772 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:1:p:130-146 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2268246_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Mengyuan Cui Author-X-Name-First: Mengyuan Author-X-Name-Last: Cui Author-Name: Shaocheng Tong Author-X-Name-First: Shaocheng Author-X-Name-Last: Tong Title: Predefined-time fuzzy adaptive decentralised control for fractional-order nonlinear large-scale systems by a cyclic-small-gain-based approach Abstract: The predefined-time fuzzy adaptive output feedback decentralised control problem is considered for fractional-order nonlinear large-scale (FONLS) systems. Firstly, by using fuzzy logic systems (FLSs) to model unknown nonlinear dynamics, a fuzzy decentralised state observer is designed to solve the immeasurable state problem. Secondly, the predefined-time stability criterion of fractional-order nonlinear systems is proposed, and then, based on the established predefined-time stability criterion of the fractional-order nonlinear systems, a predefined-time fuzzy adaptive output feedback decentralised control method is developed by combining the backstepping design technique with the cyclic-small-gain approach, and the semi-global practically predefined-time stable (SGPPTS) of the control system is proved. Finally, the numerical simulation is given and shows the effectiveness of the presented predefined-time control method. Journal: International Journal of Systems Science Pages: 68-86 Issue: 1 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2268246 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2268246 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:1:p:68-86 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2268770_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Bing Li Author-X-Name-First: Bing Author-X-Name-Last: Li Author-Name: Yuwei Cao Author-X-Name-First: Yuwei Author-X-Name-Last: Cao Author-Name: Yongkun Li Author-X-Name-First: Yongkun Author-X-Name-Last: Li Title: Almost automorphic solutions in distribution for octonion-valued stochastic recurrent neural networks with time-varying delays Abstract: In this paper, we consider a class of octonion-valued stochastic recurrent neural networks with time-varying delays whose state variables, self-feedback coefficients, connection weights and external inputs of the networks are all octonion-valued functions. Based on Banach fixed point theorem and inequality technique, we obtain the existence, uniqueness and global exponential stability of almost automorphic solutions in distribution of this kind of neural networks. Our results are new. Finally, an example is given to illustrate the effectiveness of our results. Journal: International Journal of Systems Science Pages: 102-118 Issue: 1 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2268770 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2268770 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:1:p:102-118 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2271621_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Zheqi Yu Author-X-Name-First: Zheqi Author-X-Name-Last: Yu Author-Name: Peter X. Liu Author-X-Name-First: Peter X. Author-X-Name-Last: Liu Author-Name: Song Ling Author-X-Name-First: Song Author-X-Name-Last: Ling Author-Name: Huanqing Wang Author-X-Name-First: Huanqing Author-X-Name-Last: Wang Title: Adaptive finite-time synchronisation of variable-order fractional chaotic systems for secure communication Abstract: The variable-order fractional (VOF) chaotic systems offer a promising solution for applications in secure communication due to their unique properties. This paper addresses the synchronisation problem in secure communication for these systems, which have uncertainties and external disturbances with unknown bounds. According to the variable-order fractional type Mittag-Leffler stability theorem, a fractional-order derivative is applied to a sliding surface, and suitable adaptive laws are devised to address uncertainties and disturbances. A variable-order fractional control strategy and a new criterion are developed to ensure the synchronisation error systems achieve asymptotic stability in finite time, for which the upper limit can be obtained. Simulation outcomes demonstrate the efficacy of the proposed synchronisation strategy in secure communication scenarios. Journal: International Journal of Systems Science Pages: 317-331 Issue: 2 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2271621 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2271621 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:2:p:317-331 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2268777_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Wei Wang Author-X-Name-First: Wei Author-X-Name-Last: Wang Author-Name: Jian Wu Author-X-Name-First: Jian Author-X-Name-Last: Wu Author-Name: Jing Li Author-X-Name-First: Jing Author-X-Name-Last: Li Title: Adaptive neural optimised control for stochastic nonlinear systems with time-varying input delay via self-triggered mechanism Abstract: In this paper, an adaptive tracking control strategy based on neural networks (NNs) is proposed for the stochastic nonlinear strict-feedback system with a time-varying input delay and unmeasurable states. A state observer is constructed to solve the problem of unmeasurable state and the effect of the time-varying input delay is compensated by using an auxiliary signal. All the virtual controllers and the actual controller are designed as the optimised solution of the corresponding subsystems to ensure the entire obtained controllers are optimised. To ensure that the states of the system are constrained within some given compact sets, the barrier Lyapunov function (BLF) is used to design the controller and perform stability analysis. Meanwhile, this paper adds a self-triggered mechanism to reduce the communication burden of the data transfer. Thus, the proposed control strategy can achieve optimised control and all system states can be constrained within the given ranges. On the other hand, all closed-loop signals of system are bounded in probability. Finally, it is demonstrated that the proposed control strategy can achieve the expected system performance by a simulation experiment. Journal: International Journal of Systems Science Pages: 176-190 Issue: 2 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2268777 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2268777 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:2:p:176-190 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2268778_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Ming-Rui Liu Author-X-Name-First: Ming-Rui Author-X-Name-Last: Liu Author-Name: Li-Bing Wu Author-X-Name-First: Li-Bing Author-X-Name-Last: Wu Author-Name: Qing-Kun Yu Author-X-Name-First: Qing-Kun Author-X-Name-Last: Yu Author-Name: Nan-Nan Zhao Author-X-Name-First: Nan-Nan Author-X-Name-Last: Zhao Title: Observer-based fuzzy adaptive event-triggered control for strictly uncertain nonlinear systems with partial state constraints and output dead-zones Abstract: This paper delves into the fuzzy adaptive event-triggered tracking control for a certain class of strictly uncertain nonlinear systems subject to partial state constraints as well as output dead-zones. First of all, fuzzy logic systems (FLSs) are utilised to approximate the unpredictable items, a fuzzy adaptive observer is intended to enable state estimation. Subsequently, a type of smooth approximate model is introduced to settle the nondifferentiable phenomenon of output dead-zones. To reduce the computational overhead of the communication operation effectively, an improved event-triggered control strategy including a decreasing hyperbolic tangent function related to dead-zone, is applied to determine the actual control input. In addition, the barrier Lyapunov function (BLF) is fabricated to address the issue of partial state constraint. By theoretical analysis, the reference signal can be precisely tracked by the system output and all closed-loop signals remain uniformly ultimately bounded (UUB). Finally, the constructed controller's effectiveness is validated with two illustrative examples. Journal: International Journal of Systems Science Pages: 191-208 Issue: 2 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2268778 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2268778 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:2:p:191-208 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2272217_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Hongyao Li Author-X-Name-First: Hongyao Author-X-Name-Last: Li Author-Name: Fuli Wang Author-X-Name-First: Fuli Author-X-Name-Last: Wang Title: Adaptive output feedback reinforcement learning control for continuous time switched stochastic nonlinear systems with unknown control coefficients and full-state constraints Abstract: In this paper, the problem of adaptive neural network (NN) reinforcement learning (RL) tracking control is investigated for the continuous time (CT) switched stochastic nonlinear systems with unknown control coefficients and full-state constraints. First, a set of reconstructed states are defined to handle the unknown control coefficients, and switched state observers are developed to estimate unmeasurable reconstructed states. Then, to improve the tracking performance, based on the minimal learning parameter (MLP) method and the RL control design technique, the adaptive RL controller is developed by the backstepping method. Finally, the boundedness of the tracking error and all signals is demonstrated via the average dwell time (ADT) method and tangent type time-varying barrier multiple Lyapunov functions. The effectiveness of the proposed scheme is verified by two examples. Journal: International Journal of Systems Science Pages: 332-354 Issue: 2 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2272217 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2272217 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:2:p:332-354 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2271118_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Sonali Singh Author-X-Name-First: Sonali Author-X-Name-Last: Singh Author-Name: Ankit Sachan Author-X-Name-First: Ankit Author-X-Name-Last: Sachan Author-Name: Jitendra Kumar Goyal Author-X-Name-First: Jitendra Kumar Author-X-Name-Last: Goyal Author-Name: Shubhi Purwar Author-X-Name-First: Shubhi Author-X-Name-Last: Purwar Author-Name: Sandeep Kumar Soni Author-X-Name-First: Sandeep Kumar Author-X-Name-Last: Soni Title: Supervisory-based quantised hands-off control for a class of uncertain systems with nonlinear sector Abstract: This article is concerned with the problem of stabilising nonlinear uncertain systems subject to signal quantisation using nonlinear sector design. The boundary of nonlinear sector decided by the behaviour of the system showing an input-to-state stability is equivalent to $ \mathcal {KL} $ KL-stability. A novel control design based on supervisory-based quantised hands-off control is introduced. With this, the true state of the nonlinear plant is estimated and the quantised control steers the trajectory of the system inside the nonlinear sector in finite time and further to the origin asymptotically. The proposed approach is validated through an illustrative example to demonstrate its theoretical effectiveness. Journal: International Journal of Systems Science Pages: 300-316 Issue: 2 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2271118 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2271118 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:2:p:300-316 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2269293_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Jun Li Author-X-Name-First: Jun Author-X-Name-Last: Li Author-Name: Yuhan Suo Author-X-Name-First: Yuhan Author-X-Name-Last: Suo Author-Name: Senchun Chai Author-X-Name-First: Senchun Author-X-Name-Last: Chai Author-Name: Yihao Xu Author-X-Name-First: Yihao Author-X-Name-Last: Xu Author-Name: Yuanqing Xia Author-X-Name-First: Yuanqing Author-X-Name-Last: Xia Title: Resilient and event-triggered control of singular Markov jump systems against cyber attacks Abstract: This paper is concerned with the $ H_{\infty } $ H∞ resilient and event-triggered control of singular Markov jump systems against deception attacks. The deception attacks are modelled as a random bounded signal which is governed by a Bernoulli distributed random variable. The event-triggered scheme is adopted to achieve a trade-off between system performance and network resources. Based on the technique of stochastic Lyapunov–Krasovskii functionals and linear matrix inequalities, efficient criteria are developed such that the closed-loop system is stochastically admissible with a certain $ H_{\infty } $ H∞ performance under deception attacks. Then, the co-design of resilient controller gains and event-triggered rules is provided in terms of a group of feasible LMIs. Finally, two examples are employed to verify the validity of our design. Journal: International Journal of Systems Science Pages: 222-236 Issue: 2 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2269293 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2269293 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:2:p:222-236 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2272218_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Tianbo Zhang Author-X-Name-First: Tianbo Author-X-Name-Last: Zhang Author-Name: Shihui Jiang Author-X-Name-First: Shihui Author-X-Name-Last: Jiang Author-Name: Dong Shen Author-X-Name-First: Dong Author-X-Name-Last: Shen Title: Collaborative control of a levitation module for maglev trains with physical contact prevention and user-defined convergence time Abstract: The levitation module of maglev trains is contact-prone between electromagnets and guideways due to its high nonlinearity and various external disturbances. Hence, the coupling structure between the electromagnetic points in a levitation module calls for safe and collaborative control. To achieve this goal, this study proposes a novel collaborative levitation control scheme with physical contact prevention. Considering operational safety requirements confronted by the levitation system, a barrier function is introduced to address the physical contact problem, which strictly limits the levitation gap within an allowable range. Moreover, considering the transient response of the controlled system, the predefined-time stability is synthesised, which ensures that the tracking errors converge to a very small neighbourhood of zero within an arbitrarily settling time determined by users. This brings great convenience of tuning controller parameters and avoids non-trivial tuning with a large set of parameters by trails and errors. In addition, quadratic functions are integrated to guarantee the nonsingularity of control signals to enhance practicality. A series of numerical simulations verify the effectiveness of the proposed control scheme. Journal: International Journal of Systems Science Pages: 355-369 Issue: 2 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2272218 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2272218 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:2:p:355-369 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2272219_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Hui Liu Author-X-Name-First: Hui Author-X-Name-Last: Liu Author-Name: Xiaohua Li Author-X-Name-First: Xiaohua Author-X-Name-Last: Li Author-Name: Huanqing Wang Author-X-Name-First: Huanqing Author-X-Name-Last: Wang Title: Adaptive prescribed finite-time asymptotic tracking control for switched systems with unknown initial conditions and full-state constraints Abstract: In this paper, an adaptive prescribed finite-time asymptotic tracking control problem is considered for the unknown nonlinear switched systems with unknown initial conditions and full-state constraints. A class of nonlinear mappings (NMs) and a new prescribed finite-time performance function (PFTPF) are introduced so that the control design is independent of initial conditions of the controlled states. Based on the neural network approximation approach, NMs, PFTPF and the Barbalat's lemma, an adaptive prescribed finite-time asymptotic tracking controller with full-state constraints is obtained. To avoid overlarge initial control input, the design method with zero initial control input is adopted, the definition of input tuning function (ITF) is expanded and its effectiveness is proved theoretically. As results, the full-state constraints and the boundedness of all the signals in the closed-loop system are guaranteed, and the tracking error of the system can converge to zero asymptotically. Finally, the effectiveness and superiority of the proposed scheme are verified by the simulation results. Journal: International Journal of Systems Science Pages: 370-390 Issue: 2 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2272219 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2272219 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:2:p:370-390 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2269480_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Baozhu Du Author-X-Name-First: Baozhu Author-X-Name-Last: Du Author-Name: Jiahao Chen Author-X-Name-First: Jiahao Author-X-Name-Last: Chen Title: Finite-time L1-gain output tracking control for positive linear systems Abstract: The problem of $ L_1 $ L1 output tracking control of positive linear systems in finite time is addressed in this paper. By constructing a linear copositive Lyapunov–Krasovskii functional, some sufficient conditions are achieved to ensure that the states are finite-time bounded and the measurement outputs have $ L_1- $ L1−gain performance for given systems, respectively. Next, a state feedback controller is designed to ensure that the output signals of the tracking system can effectively trace the specified signals of reference model with finite-time boundedness and $ L_1 $ L1-gain performance. Finally, an example is given to illustrate the efficiency of the proposed method. Journal: International Journal of Systems Science Pages: 253-260 Issue: 2 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2269480 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2269480 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:2:p:253-260 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2270397_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Bobo Li Author-X-Name-First: Bobo Author-X-Name-Last: Li Author-Name: Yinhe Wang Author-X-Name-First: Yinhe Author-X-Name-Last: Wang Author-Name: Yi Peng Author-X-Name-First: Yi Author-X-Name-Last: Peng Author-Name: Xiaoxi Wang Author-X-Name-First: Xiaoxi Author-X-Name-Last: Wang Title: Double tracking control for the complex dynamic network with an unavailable link state Abstract: This research investigates the double tracking control problem for the complex dynamic network (CDN) with an unavailable link state. Firstly, from the angle of a large-scale system, the dynamical model of CDN is described by the vector differential equations, which consists of node dynamic subsystem (NDS) and link dynamic subsystem (LDS), in which the weighted-values of links are regarded as the state variables of LDS. Secondly, to realise the double tracking control (DT-Control) of CDN, the presented DT-Control scheme in this paper includes the synthesis of controller for NDS and the coupling term in LDS, which can ensure that the two subsystems track the given reference targets. The tracking of NDS contains the synchronisation of nodes as the special case, and the tracking of LDS shows that the eventual topologic structure of CDN will be determined only by the given link reference signal. Due to the economic and technological limitations of sensors in the practice applications, this paper assumes that the state variables of LDS are unavailable in the DT-Control scheme. Finally, the engineering simulation example is given to verify the validity of DT-Control scheme proposed in this paper. Journal: International Journal of Systems Science Pages: 261-272 Issue: 2 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2270397 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2270397 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:2:p:261-272 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2268774_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Naqi Fan Author-X-Name-First: Naqi Author-X-Name-Last: Fan Author-Name: Lijun Zhang Author-X-Name-First: Lijun Author-X-Name-Last: Zhang Author-Name: Zeyu Zhu Author-X-Name-First: Zeyu Author-X-Name-Last: Zhu Title: Realisation of the transient dynamics of dimension-varying control systems Abstract: The quotient space method provides a novel idea for modelling the transient dynamics of dimension-varying control systems. This paper investigates the realisation problem of the transient dynamics of dimension-varying control systems. By revealing the structure of the controllable subspace for the linear system on quotient space, we propose the condition for the realisation of the transient dynamics of dimension-varying control systems, based on which a new scheme for modelling the transient dynamics is given. Moreover, the proposed scheme justifies the existing result for the strategy for modelling the transient dynamics. A numeric example is given to illustrate our theoretical results. Journal: International Journal of Systems Science Pages: 165-175 Issue: 2 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2268774 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2268774 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:2:p:165-175 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2269292_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: K. Mathiyalagan Author-X-Name-First: K. Author-X-Name-Last: Mathiyalagan Author-Name: T. Renugadevi Author-X-Name-First: T. Author-X-Name-Last: Renugadevi Author-Name: Huiyan Zhang Author-X-Name-First: Huiyan Author-X-Name-Last: Zhang Title: Boundary stabilisation of fractional reaction-diffusion systems with time-varying delays Abstract: This paper examines the boundary stabilisation results for time fractional-order reaction-diffusion systems involving with time-varying delays. The main goal is to design the boundary control for the system by proving the well-posedness of the kernel function using the backstepping method. An invertible Volterra integral transformation is used to convert the considered system into a stable target system. Different from the existing results, the stability results for fractional RDEs are discussed in the sense of the Lyapunov–Krasovskii theory and sufficient conditions are derived with the help of the linear matrix inequality (LMI) approach. Finally, to show the application of the results, the proposed conditions are numerically validated over a time fractional-order reaction-diffusion cellular neural network model. Journal: International Journal of Systems Science Pages: 209-221 Issue: 2 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2269292 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2269292 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:2:p:209-221 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2270402_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Liang Li Author-X-Name-First: Liang Author-X-Name-Last: Li Author-Name: Chen Fei Author-X-Name-First: Chen Author-X-Name-Last: Fei Author-Name: Weiyin Fei Author-X-Name-First: Weiyin Author-X-Name-Last: Fei Title: Research on investment incorporating both environmental performance and long (short) term financial performance of firms Abstract: Firstly, with the rapid popularisation of the ESG concept and the deepening of the conception of green and low-carbon development, the performance of a firm in protecting and improving the ecological environment and the level of green technology investment has gradually become the reference criteria for judging whether the firm has social value and sustainability in development. Secondly, to pursue short-term survival and long-term development, the firm will also vigorously strive for short-term profit creation and long-term capital accumulation. Thirdly, due to the existence of information asymmetry, the principal-agent parties in a firm may generate agency conflicts in the pursuit of maximising their own interests, which may lead to losses or even bankruptcy. Therefore, making rational short-term, long-term, and green technology investment decisions that consider both characteristics of firm and agency conflicts is essential for the survival and sustainable development of the firm. From the perspective of contract theory, this paper considers the design of an optimal dynamic financial contract that considers the environment's improvement and the achievement of the firm's long- and short-term financial performance while satisfying incentive compatibility. On this basis, we explore how the optimal investment strategies vary with firm characteristics. The results of the study suggest that the decisions of green technology investment, short-term investment, and long-term capital investment should be appropriately adjusted according to the level of financial slack and the effect of different market shocks to facilitate the achievement of the dual objectives of long- and short-term profitability and environmental improvement. Journal: International Journal of Systems Science Pages: 273-299 Issue: 2 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2270402 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2270402 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:2:p:273-299 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2269294_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Li-Ning Liu Author-X-Name-First: Li-Ning Author-X-Name-Last: Liu Author-Name: Guang-Hong Yang Author-X-Name-First: Guang-Hong Author-X-Name-Last: Yang Title: Distributed energy resource coordination for a microgrid over unreliable communication network with doS attacks Abstract: This article studies the coordination economic dispatch problem (EDP) for distributed energy resources. To minimise the total operating cost under various constraints, a switched distributed coordination algorithm is presented to solve the EDP over the unreliable communication network with the Denial-of-Service (DoS) attacks. In this situation, the proposed algorithm integrates the normal mode and the attack mode. The attackers can make the communication network unconnected and destroy the convergence and optimality in the attack mode. In order to explore under what conditions the optimal solution can still be obtained, we model the attack modes by differential inclusions and use an average dwell-time automaton and time-ratio monitor to limit the DoS attacks. Then, the switched distributed algorithm is modelled as a hybrid dynamical system. Furthermore, some conditions are derived to guarantee the exponential convergence of the proposed algorithm under DoS attacks. Finally, simulation results tested on the IEEE 30-bus power system illustrate the effectiveness of the proposed algorithm. Journal: International Journal of Systems Science Pages: 237-252 Issue: 2 Volume: 55 Year: 2024 Month: 01 X-DOI: 10.1080/00207721.2023.2269294 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2269294 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:2:p:237-252 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2277708_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Yongqiang Xiao Author-X-Name-First: Yongqiang Author-X-Name-Last: Xiao Author-Name: Guangbin Cai Author-X-Name-First: Guangbin Author-X-Name-Last: Cai Author-Name: Guangren Duan Author-X-Name-First: Guangren Author-X-Name-Last: Duan Title: High-order adaptive dynamic surface control for output-constrained non-linear systems based on fully actuated system approach Abstract: In this study, the authors propose a high-order adaptive dynamic surface control (HOADSC) method by using the fully actuated system-based approach for uncertain high-order strict-feedback systems (SFSs) with an output constraint. Each subsystem of the SFSs is a high-order system with a full actuation structure. In contrast to the traditional first-order state space method, the proposed control method directly treats each high-order subsystem as a whole without transforming it into a first-order system, which is a concise and efficient treatment. By introducing a series of first-order low-pass filters in each step of the design, the high-order derivatives of the virtual control law are obtained, and the complex and multiple derivation operations are transformed into simple algebraic operations. The Barrier Lyapunov function is combined to ensure that the output of the system satisfies the given constraints. And the Lyapunov theory is used to prove that all signals in the closed-loop system are ultimately uniformly bounded, and its output can accurately track the desired reference signal without violating the given constraints. The effectiveness of the proposed control method is verified by simulations of an actual manipulator system. Journal: International Journal of Systems Science Pages: 482-498 Issue: 3 Volume: 55 Year: 2024 Month: 02 X-DOI: 10.1080/00207721.2023.2277708 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2277708 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:3:p:482-498 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2272303_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Ting Li Author-X-Name-First: Ting Author-X-Name-Last: Li Author-Name: Jiandong Zhu Author-X-Name-First: Jiandong Author-X-Name-Last: Zhu Author-Name: Jun Yang Author-X-Name-First: Jun Author-X-Name-Last: Yang Author-Name: Zongyao Sun Author-X-Name-First: Zongyao Author-X-Name-Last: Sun Title: Semi-global robust stabilisation of disturbed nonlinear systems with state-dependent uncertainties: a DOBC approach Abstract: The robust stabilisation for a general class of disturbed nonlinear systems subject to state-dependent uncertainties is addressed in this paper. Different from most existing results, the lumped uncertainty, including external disturbances and model uncertainties, is relaxed to be bounded by some nonlinear functions rather than constants in this paper. Based upon the classical design procedure of disturbance observer-based control (DOBC), a new continuous saturation-based dynamic controller is proposed to estimate the lumped uncertainty. By the delicate design of several compact sets, the qualitative robust stability of the closed-loop system is guaranteed in the sense that all the signals of the closed-loop system can converge to an arbitrarily small compact set in a finite time. Furthermore, when the external disturbances are constants, the semi-global asymptotic stability can also be guaranteed by the proposed controller. Finally, the relationship between system uncertainties and observer gain is shown by a numerical simulation example. Journal: International Journal of Systems Science Pages: 440-452 Issue: 3 Volume: 55 Year: 2024 Month: 02 X-DOI: 10.1080/00207721.2023.2272303 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2272303 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:3:p:440-452 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2272301_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Lixuan Zhang Author-X-Name-First: Lixuan Author-X-Name-Last: Zhang Author-Name: Kai Zhang Author-X-Name-First: Kai Author-X-Name-Last: Zhang Author-Name: Huaiyuan Jiang Author-X-Name-First: Huaiyuan Author-X-Name-Last: Jiang Title: Attack-free protocols design for leader-following consensus of discrete-time multi-agent systems with multiple input delays Abstract: The consensus problem for leader-following multi-agent systems (MASs) characterised by discrete-time multiple input delays linear systems with directed communication topologies is investigated. Under reasonable assumptions, full-order observer-based output feedback protocols are first established by using the relative outputs and inputs of neighbouring agents. In order to overcome the impact of potential network attacks, we truncate the relative inputs of the proposed protocols, namely the exchange of communication information between neighbouring agents is forbidden, so that the closed-loop leader-following MAS is inherently immune to being attacked and achieves consensus. Additionally, the improved attack-free protocols not only allow arbitrarily large yet bounded delays, but also only relative output measurement can be available, which reduces the communication burden and thus are easy to implement in practice. A numerical example is worked out to illustrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 407-425 Issue: 3 Volume: 55 Year: 2024 Month: 02 X-DOI: 10.1080/00207721.2023.2272301 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2272301 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:3:p:407-425 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2276096_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Yiming Li Author-X-Name-First: Yiming Author-X-Name-Last: Li Author-Name: Wen Tan Author-X-Name-First: Wen Author-X-Name-Last: Tan Author-Name: Mei Yu Author-X-Name-First: Mei Author-X-Name-Last: Yu Title: Tuning rules of filtered PID/PIDD2 controller for integrating processes with measurement noise Abstract: PID controllers are widely used in industrial processes. However, it is well-known that the derivative action is susceptible to measurement noise, so most of the practical PID controllers are of PI-type. To improve the control performance and lessen the impact of measurement noise on actuators, tuning formulas under arbitrary comprehensive robustness measures are proposed to meet more control needs, the filtered PID/PIDD2 (PID plus second derivative) is used under the promise of acceptable performance of robustness and disturbance rejection. Many chemical production processes can be approximated to the common model with integrators, to improve the chemical production process efficiency, tuning rules of filtered PID/PIDD2 controllers are proposed for different integrating processes in terms of relative order to make better trade-offs. Simulation results show that the proposed tuning formula can reduce the impact of noise and achieve proper compromising among robustness, disturbance rejection and measurement noise. Journal: International Journal of Systems Science Pages: 467-481 Issue: 3 Volume: 55 Year: 2024 Month: 02 X-DOI: 10.1080/00207721.2023.2276096 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2276096 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:3:p:467-481 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2285350_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Bhim Kumar Author-X-Name-First: Bhim Author-X-Name-Last: Kumar Author-Name: Muslim Malik Author-X-Name-First: Muslim Author-X-Name-Last: Malik Title: Existence, controllability and Hyers–Ulam stability of a hybrid neutral switched system with impulsive effects Abstract: In this study, our main focus is on the analysis of the existence, controllability, and Hyers–Ulam stability of a neutral switched system with impulsive effects on non-uniform time domains. First, we use the Banach fixed point theorem and the time scales calculus to explore the existence, Ulam's type stability, and controllability of a considered switched system. In the end, we examine the controllability results through numerical simulations. This article aims to identify the essential requirements for achieving controllability and stability on different time scales. Journal: International Journal of Systems Science Pages: 517-534 Issue: 3 Volume: 55 Year: 2024 Month: 02 X-DOI: 10.1080/00207721.2023.2285350 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2285350 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:3:p:517-534 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2272220_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Jinhao Luo Author-X-Name-First: Jinhao Author-X-Name-Last: Luo Author-Name: Hui Ma Author-X-Name-First: Hui Author-X-Name-Last: Ma Author-Name: Zijie Guo Author-X-Name-First: Zijie Author-X-Name-Last: Guo Author-Name: Guohuai Lin Author-X-Name-First: Guohuai Author-X-Name-Last: Lin Author-Name: Qi Zhou Author-X-Name-First: Qi Author-X-Name-Last: Zhou Title: Quantised data-driven iterative learning bipartite consensus control for unknown heterogeneous linear MASs with varying trial lengths Abstract: This paper aims to realise the robust output bipartite consensus for unknown heterogeneous linear time-varying multiagent systems (MASs) subject to varying trial lengths, unknown measurement disturbances and data quantisation. To this end, inspired by the idea of quantised control, a quantised data-driven adaptive iterative learning bipartite consensus (AILBC) method is proposed. Specifically, to address the problem of varying trial lengths, a distributed auxiliary output prediction system is constructed based on the agents' input-output (I/O) dynamic relationship. An adaptive update protocol is developed to estimate the measurement disturbances and unknown parameters of I/O dynamic relationship. Subsequently, a quantised distributed data-driven iterative learning control (ILC) approach based on the quantised output information is proposed for MASs to achieve robust bipartite consensus tracking, with an attempt to relax the need of explicit model information. The bipartite consensus tracking errors are ultimately bounded through rigorous analysis, and this result is further extended to switching topologies. Finally, numerical simulations are conducted to verify the validity of the AILBC method. Journal: International Journal of Systems Science Pages: 391-406 Issue: 3 Volume: 55 Year: 2024 Month: 02 X-DOI: 10.1080/00207721.2023.2272220 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2272220 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:3:p:391-406 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2285744_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Yongqi Yao Author-X-Name-First: Yongqi Author-X-Name-Last: Yao Author-Name: Yu-Ping Tian Author-X-Name-First: Yu-Ping Author-X-Name-Last: Tian Title: Practical finite-time coordinated path following in uncertain time-varying flow field Abstract: In this paper, the problem of practical finite-time coordinated path following control of a multi-agent system in an uncertain Euler flow field is studied. The coordinated path following control system is decoupled into a path following sub-system and a coordinated formation sub-system. The uncertain Euler flow field is estimated by constructing an extended state observer. By embedding the extended state observer into the design of the finite-time controllers for both sub-systems, practical finite-time stability of the coordinated path following control system is proved. Simulation results are provided for validating the feasibility and effectiveness of the control method. Journal: International Journal of Systems Science Pages: 535-549 Issue: 3 Volume: 55 Year: 2024 Month: 02 X-DOI: 10.1080/00207721.2023.2285744 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2285744 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:3:p:535-549 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2272302_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Zhibo Wei Author-X-Name-First: Zhibo Author-X-Name-Last: Wei Author-Name: Yongze Liu Author-X-Name-First: Yongze Author-X-Name-Last: Liu Author-Name: Yingnian Wu Author-X-Name-First: Yingnian Author-X-Name-Last: Wu Author-Name: Wenbai Chen Author-X-Name-First: Wenbai Author-X-Name-Last: Chen Author-Name: Qing-Kui Li Author-X-Name-First: Qing-Kui Author-X-Name-Last: Li Title: T-S fuzzy model based event-triggered change control for product and supply chain systems Abstract: Product and supply chain systems are a class of complex nonlinear systems due to the uncertain demand fluctuation and unexpected events, and Takagi–Sugeno (T-S) fuzzy systems are suitable for modelling such product and supply chain systems with different production rates. According to the uncertainty customer demands, different subsystems which describe the corresponding production-inventory processes are orchestrated by the T-S fuzzy rule. Change control is designed to handle the supply chain blocking and event breaking caused by uncertain factors. Then, sufficient conditions are given such that the exponential stability with a prescribed bullwhip effect attenuation level can be guaranteed, and the control synthesis problem is transformed into the solvability of linear matrix inequalities for the product and supply chain systems. An example is introduced to verify the validness and efficiency of the proposed approach. Journal: International Journal of Systems Science Pages: 426-439 Issue: 3 Volume: 55 Year: 2024 Month: 02 X-DOI: 10.1080/00207721.2023.2272302 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2272302 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:3:p:426-439 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2276095_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Sergey E. Lyshevski Author-X-Name-First: Sergey E. Author-X-Name-Last: Lyshevski Title: Analytic design of constrained control laws for nonlinear dynamic systems with symmetric and asymmetric limits Abstract: In this article, we formulate and investigate dynamic optimisation of systems with control limits. Aerial, electronic, electromechanical, mechatronic and robotic systems exhibit symmetric and asymmetric bounds. Applying a Hamiltonian optimisation, and, minimisation of specified-by-constraints nonquadratic performance functionals result in analytically designed bounded control laws. Closed form solution of an optimisation problem is found. Continuous control algorithms ensure consistency to physical systems and homogeneous performance. Findings in dynamic optimisation and constrained control are analytically, numerically and experimentally substantiated. Experimental studies and results are documented for a dc-dc switching regulator and permanent-magnet synchronous motor. Journal: International Journal of Systems Science Pages: 453-466 Issue: 3 Volume: 55 Year: 2024 Month: 02 X-DOI: 10.1080/00207721.2023.2276095 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2276095 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:3:p:453-466 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2281881_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Sridhar Author-X-Name-First: Author-X-Name-Last: Sridhar Author-Name: Deepak Kumar Author-X-Name-First: Deepak Author-X-Name-Last: Kumar Author-Name: G. Lloyds Raja Author-X-Name-First: G. Lloyds Author-X-Name-Last: Raja Author-Name: Sudipta Chakraborty Author-X-Name-First: Sudipta Author-X-Name-Last: Chakraborty Title: Relocated internal model control based cascade control strategy for stable and unstable systems with delay Abstract: To control unstable and stable plants a new series cascade control structure (SCCS) is proposed. The proposed SCCS incorporates two or three controllers (setpoint tracking controller, secondary disturbance rejection controller and stabilising controller for only unstable plants). Internal model control scheme (IMCS) augmented with integration of square error (ISE) minimisation along with robustness considerations are applied to design the secondary loop disturbance rejection controller. In contrast, relocated IMCS augmented with ISE minimisation is applied for the outer loop or setpoint tracking controller. Routh Hurwitz stability criteria and maximum sensitivity considerations are used to design the proportional-derivative (PD) controller, which stabilises the unstable plant. It is important to note that the suggested SCCS only needs four controller parameters to be tuned, which is less than the recently reported techniques. Robust stability analysis of the proposed SCCS is performed in the presence of uncertainty. The simulation results depict that the suggested approach imparts pre-eminent improvement in closed-loop performance such as faster setpoint tracking and better disturbance rejection for nominal and perturbed plants. Journal: International Journal of Systems Science Pages: 499-516 Issue: 3 Volume: 55 Year: 2024 Month: 02 X-DOI: 10.1080/00207721.2023.2281881 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2281881 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:3:p:499-516 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2278944_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: The Editors Title: Correction Journal: International Journal of Systems Science Pages: 569-569 Issue: 3 Volume: 55 Year: 2024 Month: 02 X-DOI: 10.1080/00207721.2023.2278944 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2278944 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:3:p:569-569 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2282409_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Jun Yin Author-X-Name-First: Jun Author-X-Name-Last: Yin Author-Name: Fei Yan Author-X-Name-First: Fei Author-X-Name-Last: Yan Author-Name: Yisha Liu Author-X-Name-First: Yisha Author-X-Name-Last: Liu Author-Name: Guojian He Author-X-Name-First: Guojian Author-X-Name-Last: He Author-Name: Yan Zhuang Author-X-Name-First: Yan Author-X-Name-Last: Zhuang Title: An overview of simultaneous localisation and mapping: towards multi-sensor fusion Abstract: Simultaneous localisation and mapping (SLAM) systems have been widely studied over the past 30 years and extensively applied in various fields such as mobile robotics, augmented reality, and virtual reality. The goal of the SLAM technique is to simultaneously map the surrounding environment and obtain the ego-motion of the sensing platform. As the number of application scenarios of SLAM systems increases and related tasks become more complex, SLAM systems based on a single sensor are no longer sufficient to meet the demands, thus the trend for SLAM systems based on multi-sensor fusion has emerged. In this paper, we review the SLAM systems from the perspective of various configurations of heterogeneous sensors. These configurations include visual-inertial, lidar-inertial, lidar-visual, lidar-visual-inertial, and other multi-sensor fusion systems. In addition, the advantages and disadvantages of each configuration are also given. Based on the review, several open issues for further research are discussed at the end of this paper. Journal: International Journal of Systems Science Pages: 550-568 Issue: 3 Volume: 55 Year: 2024 Month: 02 X-DOI: 10.1080/00207721.2023.2282409 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2282409 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:3:p:550-568 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2293486_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Radu-Emil Precup Author-X-Name-First: Radu-Emil Author-X-Name-Last: Precup Author-Name: Anh-Tu Nguyen Author-X-Name-First: Anh-Tu Author-X-Name-Last: Nguyen Author-Name: Sašo Blažič Author-X-Name-First: Sašo Author-X-Name-Last: Blažič Title: A survey on fuzzy control for mechatronics applications Abstract: Fuzzy control has become one of the most effective tools for dealing with complex engineering processes. Over the years, research on fuzzy control systems has continuously evolved, witnessing numerous theoretical contributions and successful real-world achievements. The concept of model-free or data-driven fuzzy control was initially introduced with specific heuristics incorporated into the design. Due to the lack of a systematic framework for stability analysis in model-free fuzzy control, the significance of model-based fuzzy control has grown extensively. This approach ensures systematic design based on precise fuzzy models of the process. This survey focuses on the fundamental aspects of three prominent classes of fuzzy control. First, the paper commences with a review of Takagi–Sugeno fuzzy control systems. This includes discussions on stability analysis and controller design, exploring techniques to derive less conservative and/or complex results from a numerical burden perspective. Second, various aspects of data-driven fuzzy control are analysed in detail including a classification of the most popular data-driven control techniques and their combination with fuzzy control; a representative Iterative Feedback Tuning-based fuzzy controller is described. Third, this survey explores the fundamental aspects of evolving fuzzy control, with a particular emphasis on the significance of stability and control laws, which are not usually the primary focus of evolving intelligent systems research. For each discussed class of fuzzy control, the paper provides a selective list of mechatronics applications to illustrate their performance effectiveness, emphasising research papers published after 2011. Finally, drawing from recent advances in fuzzy control theory and mechatronics applications, future research directions and associated challenges are discussed. Journal: International Journal of Systems Science Pages: 771-813 Issue: 4 Volume: 55 Year: 2024 Month: 03 X-DOI: 10.1080/00207721.2023.2293486 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2293486 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:4:p:771-813 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2293483_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Kelin Feng Author-X-Name-First: Kelin Author-X-Name-Last: Feng Author-Name: Kewen Li Author-X-Name-First: Kewen Author-X-Name-Last: Li Author-Name: Yongming Li Author-X-Name-First: Yongming Author-X-Name-Last: Li Title: Finite-time fuzzy adaptive formation tracking control for USVs with multiple constraints and unknown dead zones Abstract: This paper investigates the fuzzy adaptive finite-time formation tracking control problem for underactuated unmanned surface vehicles (USVs) subject to multiple constraints and unknown dead-zones. The model of USVs contains unknown nonlinear dynamics, so the fuzzy logic systems (FLSs) are employed to estimate them. The prescribed performance control (PPC) technique is used to construct the constraint requirements of collision avoidance and connectivity preservation in formation control. Then, based on the theory of finite-time stability and dynamic surface control (DSC) scheme, a fuzzy adaptive formation tracking control algorithm is presented, which can solve the problem of unknown dead zones for USVs and have the advantages of avoiding collision and preserving connectivity, and also ensures that all the signals are bounded in finite-time bounded. The simulation results can verify the feasibility of the proposed control method. Journal: International Journal of Systems Science Pages: 631-643 Issue: 4 Volume: 55 Year: 2024 Month: 03 X-DOI: 10.1080/00207721.2023.2293483 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2293483 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:4:p:631-643 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2293482_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Zhengyu Ye Author-X-Name-First: Zhengyu Author-X-Name-Last: Ye Author-Name: Ziquan Yu Author-X-Name-First: Ziquan Author-X-Name-Last: Yu Author-Name: Yuehua Cheng Author-X-Name-First: Yuehua Author-X-Name-Last: Cheng Author-Name: Bin Jiang Author-X-Name-First: Bin Author-X-Name-Last: Jiang Title: Finite-time sliding-mode observer based distributed robust fault tolerant control for multi-agent systems against actuator and sensor faults Abstract: The faults of actuators and sensors have adverse impacts on the distributed control of the multi-agent systems (MASs). This study addresses the problem of fault-tolerant control (FTC) for MAS subject to actuator and sensor faults. The descriptor approach is introduced to transform the MAS dynamics into a descriptor form, in which the actuator and sensor faults are integrated as components of the extended descriptor system state. A sliding mode-based unknown input observer is designed to realise finite-time fault diagnosis and state estimation for the transformed descriptor system. Furthermore, based on the estimation, a distributed robust FTC protocol is developed to guarantee the consensus of MAS against the actuator and sensor faults. Finally, simulations are conducted to validate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 618-630 Issue: 4 Volume: 55 Year: 2024 Month: 03 X-DOI: 10.1080/00207721.2023.2293482 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2293482 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:4:p:618-630 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2293478_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Jianhuai Dong Author-X-Name-First: Jianhuai Author-X-Name-Last: Dong Author-Name: Zhixuan Dong Author-X-Name-First: Zhixuan Author-X-Name-Last: Dong Title: Efficient LQG control for wireless networked control systems without packet acknowledgement Abstract: This paper studies the linear quadratic Gaussian (LQG) control problem for wireless networked control systems (WNCSs) without packet acknowledgement. In WNCSs, packets may be randomly lost in both control and observation channels, and non-acknowledgement (non-ACK) mechanisms (e.g. UDP-like protocols) are generally adopted to achieve real-time control and reduce energy consumption. For general non-ACK systems, it is well known that the optimal controller is not yet available, and the performance of existing suboptimal controllers is poor because they either adopt a fixed control law or rely on a poorly performing filter. By using a moment-preserving Gaussian approximation approach, an efficient filter is proposed to approximately estimate system states. Based on the approximate state estimates of the proposed filter, an approximate optimal controller with a time-varying control gain for WNCSs is further designed by using a dynamic programming approach. The proposed controller has excellent performance and becomes the optimal controller under special system parameters. Numerical simulations show the correctness and effectiveness of the obtained results. Journal: International Journal of Systems Science Pages: 571-589 Issue: 4 Volume: 55 Year: 2024 Month: 03 X-DOI: 10.1080/00207721.2023.2293478 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2293478 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:4:p:571-589 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2293484_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Bo Zhou Author-X-Name-First: Bo Author-X-Name-Last: Zhou Author-Name: Yuefei Yuan Author-X-Name-First: Yuefei Author-X-Name-Last: Yuan Author-Name: Qiankun Song Author-X-Name-First: Qiankun Author-X-Name-Last: Song Title: A proximal forward-backward splitting based algorithmic framework for Wasserstein logistic regression using heavy ball strategy Abstract: In this paper, a forward-backward splitting based algorithmic framework incorporating the heavy ball strategy is proposed so as to efficiently solve the Wasserstein logistic regression problem. The proposed algorithmic framework consists two phases: the first phase involves a gradient descent step extension method, whilst the second phase involves a problem of instantaneous optimisation which balances the minimisation of a regularisation term while maintaining close proximity to the interim state given in the first phase. Then, it proves that the proposed algorithmic framework converges to the optimal solution of the Wasserstein logistic regression problem. Finally, numerical experiments are conducted, which illustrate the efficient implementation for high-dimensional sparsity data. The numerical results demonstrate that the proposed algorithmic framework outperforms not only the off-the-shelf solvers, but also some existing first-order algorithms. Journal: International Journal of Systems Science Pages: 644-657 Issue: 4 Volume: 55 Year: 2024 Month: 03 X-DOI: 10.1080/00207721.2023.2293484 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2293484 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:4:p:644-657 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2293481_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Weihao Pan Author-X-Name-First: Weihao Author-X-Name-Last: Pan Author-Name: Xianfu Zhang Author-X-Name-First: Xianfu Author-X-Name-Last: Zhang Author-Name: Debao Fan Author-X-Name-First: Debao Author-X-Name-Last: Fan Title: Observer-based impulsive consensus control of nonlinear multi-agent systems under denial-of-service attacks Abstract: This paper is concerned with the distributed impulsive consensus problem for nonlinear multi-agent systems (MASs) subject to denial-of-service (DoS) attacks, where the information of agent states is not fully available in the impulsive control design. To reconstruct the states of MASs and guarantee secure average consensus, a novel observer-based impulsive secure control protocol is put forward, and some sufficient conditions are derived by means of linear matrix inequality (LMI) technique and Lyapunov method. It should be pointed out that both the proposed state observer and control protocol adjust the state value abruptly at some discrete instants in an impulsive manner. Moreover, the considered asynchronous DoS attack model can allow jam each channel independently, under which the decay rates of different attack modes are estimated. Finally, two simulation examples, including a practical control system, verify the effectiveness of the proposed consensus algorithm. Journal: International Journal of Systems Science Pages: 603-617 Issue: 4 Volume: 55 Year: 2024 Month: 03 X-DOI: 10.1080/00207721.2023.2293481 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2293481 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:4:p:603-617 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2294747_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Yuying Li Author-X-Name-First: Yuying Author-X-Name-Last: Li Author-Name: Rogemar Mamon Author-X-Name-First: Rogemar Author-X-Name-Last: Mamon Title: A comparison of three algorithms in the filtering of a Markov-modulated non-homogeneous Poisson process Abstract: A Markov-modulated non-homogeneous Poisson process (MMNPP), whose intensity process is designed to capture both the cyclical and nonrecurring trends, is considered for modelling the total count of cyber incidents. Extending the Expectation-Maximisation (EM) algorithm for the current MMPP literature, we derive the filters and smoothers to support the MMNPP online parameter estimation. A scaling transformation is introduced to address the numerical issue for large data sizes whilst maintaining accuracy. The filter- and smoother-based EM algorithms are then benchmarked to the maximum likelihood-based EM algorithm at the theoretical level. The differences emerge in the E-step of the EM procedure. Both the filtering and smoothing schemes, in conjunction with the change-of-measure technique, avoid the computing complication caused by the hidden regimes. In contrast to the usual EM algorithm, the said two algorithms could be implemented given only the incident counts data without the specific times of jumps. Within the data compiled by the U.S. Department of Health and Human Services, the filter-based algorithm performs better than the algorithm involving smoothers. The benchmarked algorithm may do well in calibration under the presence of extreme incident counts with an extremely low frequency; however, overfitting may occur. For most practical applications involving 2 or 3 regimes, both algorithms are superior when it comes to efficiency, real-time update, and low computational cost. The benchmarked algorithm is better when there are more regimes under relatively closer intensities. Overall, the filter-based algorithm gives better estimation, especially if there is a low-frequency regime and the flexible binning of the data set is an important consideration. Journal: International Journal of Systems Science Pages: 741-770 Issue: 4 Volume: 55 Year: 2024 Month: 03 X-DOI: 10.1080/00207721.2023.2294747 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2294747 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:4:p:741-770 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2293687_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Jiankai Xue Author-X-Name-First: Jiankai Author-X-Name-Last: Xue Author-Name: Bo Shen Author-X-Name-First: Bo Author-X-Name-Last: Shen Title: A survey on sparrow search algorithms and their applications Abstract: The sparrow search algorithm (SSA) is an efficient swarm-intelligence-based algorithm that has made some significant advances since its introduction in 2020. A detailed overview of the basic SSA and several SSA-based variants is presented in this paper. To be specific, first, the principle of the basic SSA is introduced including its search mechanism and implementation process. Second, many improved SSAs are reviewed including the hybrid, chaotic, adaptive, binary and multi-objective SSAs. In addition, the applications of the SSAs are presented in some real scenarios such as the machine learning areas, energy systems, path planning and image processing. Finally, further research directions of the SSAs are discussed. This survey paper aims to provide a timely review on the latest developments of the SSAs. Journal: International Journal of Systems Science Pages: 814-832 Issue: 4 Volume: 55 Year: 2024 Month: 03 X-DOI: 10.1080/00207721.2023.2293687 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2293687 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:4:p:814-832 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2293479_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Shengtong Lin Author-X-Name-First: Shengtong Author-X-Name-Last: Lin Author-Name: Ao Cao Author-X-Name-First: Ao Author-X-Name-Last: Cao Author-Name: Tongtong Chen Author-X-Name-First: Tongtong Author-X-Name-Last: Chen Author-Name: Fuyong Wang Author-X-Name-First: Fuyong Author-X-Name-Last: Wang Title: Privacy-preserving consensus via edge-based state decomposition Abstract: This paper makes further generalisations based on the application of edge-based state decomposition methods on average consensus. The edge-based state decomposition method is a privacy-preserving technique that leverages the number of neighbours to decompose node information, effectively safeguarding the privacy of nodes in average consensus, even in the absence of reliable neighbours. Building upon this method, our research expands its applicability to bipartite consensus and scale consensus. In bipartite consensus, the method can also accurately achieve consensus while guaranteeing privacy. In contrast, scale consensus effectively protects the privacy of the final consistency result. In addition, this paper refines the privacy proofs for different enemies. Finally, the simulation results presented at the end of the paper validate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 590-602 Issue: 4 Volume: 55 Year: 2024 Month: 03 X-DOI: 10.1080/00207721.2023.2293479 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2293479 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:4:p:590-602 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2293485_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Qian Liu Author-X-Name-First: Qian Author-X-Name-Last: Liu Author-Name: Yong He Author-X-Name-First: Yong Author-X-Name-Last: He Author-Name: Chongyang Ning Author-X-Name-First: Chongyang Author-X-Name-Last: Ning Title: Improved time-varying Halanay inequality with impulses and its application to stability analysis of time-varying semi-Markov switched systems with time-delays Abstract: We propose an improved time-varying Halanay inequality with impulses. This Halanay inequality can be applied to indefinite multiple Lyapunov functions to handle the interactions between subsystems caused by time delays. Based on this theoretical framework, we establish almost sure stability criteria for time-varying semi-Markov switched systems with time delays. Numerical examples demonstrate the effectiveness and advantages of the proposed results. Journal: International Journal of Systems Science Pages: 658-670 Issue: 4 Volume: 55 Year: 2024 Month: 03 X-DOI: 10.1080/00207721.2023.2293485 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2293485 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:4:p:658-670 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2293686_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Dong Wang Author-X-Name-First: Dong Author-X-Name-Last: Wang Author-Name: Chuanbo Wen Author-X-Name-First: Chuanbo Author-X-Name-Last: Wen Author-Name: Xiaoliang Feng Author-X-Name-First: Xiaoliang Author-X-Name-Last: Feng Title: Deep variational Luenberger-type observer with dynamic objects channel-attention for stochastic video prediction Abstract: Considering the inherent stochasticity and uncertainty, predicting future video frames is exceptionally challenging. In this work, we study the problem of video prediction by combining interpretability of stochastic state space models and representation learning of deep neural networks with channel-attention. Our model which based on a variational encoder introduces a novel channel-attention block to enhance the ability to capture dynamic objects in video frames and a Luenberger-type observer which catches the dynamic evolution of the latent features. These enable the features of moving objects more conspicuous and decomposition of videos into static features and dynamics in an unsupervised manner. By deriving the stability theory of the nonlinear Luenberger-type observer, the hidden states in the feature space become insensitive with respect to the initial values, which improves the robustness of the overall model. Furthermore, the variational lower bound on the data log-likelihood can be derived to obtain the tractable posterior prediction distribution based on the variational principle. Finally, the experiments including the Rotaton Numbers dataset and the Kth dataset are provided to demonstrate the proposed model outperforms concurrent works. Journal: International Journal of Systems Science Pages: 728-740 Issue: 4 Volume: 55 Year: 2024 Month: 03 X-DOI: 10.1080/00207721.2023.2293686 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2293686 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:4:p:728-740 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2293684_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Z. X. Lan Author-X-Name-First: Z. X. Author-X-Name-Last: Lan Author-Name: Y. C. Guan Author-X-Name-First: Y. C. Author-X-Name-Last: Guan Author-Name: Y. Chen Author-X-Name-First: Y. Author-X-Name-Last: Chen Title: Formation control for swarm system with dynamic obstacles Abstract: This paper presents a formation control method for a swarm system, wherein each agent is capable of avoiding dynamic obstacles to reach a target area on the plane. Firstly, the collision hazard area, where an agent collides upon entry, is established by integrating a partial differential equation-based distribution model of dynamic obstacles and a curve model of the front agents' deployment. Secondly, the coverage-based controller is designed for each agent by optimising the objective function concerning its respective visibility-limited Voronoi set on the manoeuvrable domain outside the collision hazard area, ensuring that the agent's trajectories remain within the target area. Simulation results finally demonstrate the effectiveness of the proposed approach. Journal: International Journal of Systems Science Pages: 701-713 Issue: 4 Volume: 55 Year: 2024 Month: 03 X-DOI: 10.1080/00207721.2023.2293684 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2293684 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:4:p:701-713 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2293683_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Shabana Bashrat Author-X-Name-First: Shabana Author-X-Name-Last: Bashrat Author-Name: Muhammad Imran Author-X-Name-First: Muhammad Author-X-Name-Last: Imran Author-Name: Safia Akram Author-X-Name-First: Safia Author-X-Name-Last: Akram Author-Name: Abdul Wakeel Author-X-Name-First: Abdul Author-X-Name-Last: Wakeel Author-Name: Nauman Anwar Baig Author-X-Name-First: Nauman Author-X-Name-Last: Anwar Baig Author-Name: Asim Zaheer Ud-Din Author-X-Name-First: Asim Author-X-Name-Last: Zaheer Ud-Din Title: Improved model order reduction techniques with error bounds Abstract: This paper introduces two enhanced model order reduction techniques designed for scenarios involving frequency-weighted and frequency-limited-interval Gramians in the continuous-time domain. The primary objective is to address the instability issue identified in existing approaches in the continuous-time domain, as formulated by Enns for frequency-weighted scenarios and Gawronski & Juang for frequency-limited-interval scenarios. Despite numerous solutions proposed in the literature to mitigate this problem, a persistent challenge remains the high approximation error between the original and reduced-order systems. To overcome this limitation, the proposed improved techniques focus on ensuring stability in reduced-order models while simultaneously minimising the approximation error between the original and reduced systems. Furthermore, these enhanced techniques provide a computationally straightforward, a priori error bound formula. Numerical findings underscore the correctness and efficiency of the proposed techniques in reducing the approximation error while maintaining stability, thereby substantiating their efficacy. Journal: International Journal of Systems Science Pages: 687-700 Issue: 4 Volume: 55 Year: 2024 Month: 03 X-DOI: 10.1080/00207721.2023.2293683 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2293683 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:4:p:687-700 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2293682_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Mohamed Salim Bidou Author-X-Name-First: Mohamed Salim Author-X-Name-Last: Bidou Author-Name: Sylvain Verron Author-X-Name-First: Sylvain Author-X-Name-Last: Verron Author-Name: Laetitia Perez Author-X-Name-First: Laetitia Author-X-Name-Last: Perez Author-Name: Laurent Autrique Author-X-Name-First: Laurent Author-X-Name-Last: Autrique Title: Bayesian filter for failure times identification of moving heat sources in 2D geometry Abstract: This study investigates the application of the Bayesian filter method for identifying failure times in a 2D parabolic partial differential equation system. The identification of failure times in thermal systems, which are subject to partial differential equations, presents significant difficulties, especially due to their ill-posed nature, which makes them highly sensitive to measurement errors. A Bayesian inference framework was previously developed in a related study, aiming to solve inverse heat conduction problems by utilising temperature measurements from sensors to estimate failure times or potential restarts of fixed heat sources. This paper focuses on the case of mobile sources, where a set of fixed sensors is considered and the trajectories of the heating sources are known and follow a constant velocity. The main objective is to accurately identify the failing heat sources and determine the exact failure time, as well as the possibility of resuming normal operation. A Monte Carlo simulation is performed to assess the impact of sensor measurements. Journal: International Journal of Systems Science Pages: 671-686 Issue: 4 Volume: 55 Year: 2024 Month: 03 X-DOI: 10.1080/00207721.2023.2293682 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2293682 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:4:p:671-686 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2293685_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Chenchen Zheng Author-X-Name-First: Chenchen Author-X-Name-Last: Zheng Author-Name: Hua Fu Author-X-Name-First: Hua Author-X-Name-Last: Fu Author-Name: Jianjun Bai Author-X-Name-First: Jianjun Author-X-Name-Last: Bai Author-Name: Xueyang Meng Author-X-Name-First: Xueyang Author-X-Name-Last: Meng Author-Name: Yun Chen Author-X-Name-First: Yun Author-X-Name-Last: Chen Title: FlexRay protocol based distributed nonfragile dissipative filtering of state-saturated switched stochastic systems Abstract: This article concentrates on the finite-time nonfragile distributed dissipative filtering issue for time-varying switched stochastic systems (SSSs) with state saturations over wireless sensor networks based on FlexRay communication protocol. To effectively deal with the resource restriction problem of the public communication network and energy consumption of the sensor nodes, the FlexRay communication protocol, including the Round-Robin protocol (RRP) and weighted try-once-discard protocol (WTODP), is introduced to schedule the data transmission of each sensor node. In addition, the phenomenon of randomly occurring gain variations (ROGVs) of filter parameters, characterised by the Bernoulli distributed random variables, is taken into consideration for the implementation of desired filter. A sufficient condition under the average dwell time (ADT) restriction is presented to guarantee the mean-square exponential stability and stochastically dissipative property of the augmented filtering error system (AFES) in a finite horizon. Moreover, the gains of the dissipativity-based filters are achieved by solving recursive linear matrix inequalities (RLMIs). Finally, an illustrative example is provided to exhibit the effectiveness of the designed filter. Journal: International Journal of Systems Science Pages: 714-727 Issue: 4 Volume: 55 Year: 2024 Month: 03 X-DOI: 10.1080/00207721.2023.2293685 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2293685 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:4:p:714-727 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2295308_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Xiaohui Hao Author-X-Name-First: Xiaohui Author-X-Name-Last: Hao Author-Name: Yuanqing Xia Author-X-Name-First: Yuanqing Author-X-Name-Last: Xia Author-Name: Hongjiu Yang Author-X-Name-First: Hongjiu Author-X-Name-Last: Yang Author-Name: Zhiqiang Zuo Author-X-Name-First: Zhiqiang Author-X-Name-Last: Zuo Title: Typical motion-based modelling and tracking for vehicle targets in linear road segment Abstract: In this paper, a typical motion-based modelling and tracking issue is investigated for vehicle targets in linear road segment by a variable structure multiple model (VSMM) method. Vehicle target motions in a road with multiple lanes are described by typical lane keeping and lane changing manoeuvres. To describe trajectories of typical manoeuvres, an Ornstein–Uhlenbeck process and a sine half-cycle are used to model lane keeping and lane changing motions in lateral direction, respectively. Note that starting point and length of lane changing motion are unknown in target tracking. Time-varying model sets are designed based on the current motion model with different motion parameters. A VSMM tracking frame is constructed to obtain target state estimates with time-varying model set. The effectiveness of the proposed typical motion-based tracking scheme is displayed by simulation results on road vehicle tracking. Journal: International Journal of Systems Science Pages: 833-843 Issue: 5 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2023.2295308 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2295308 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:5:p:833-843 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2301043_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Morteza Alinia Ahandani Author-X-Name-First: Morteza Author-X-Name-Last: Alinia Ahandani Author-Name: Hamed Kharrati Author-X-Name-First: Hamed Author-X-Name-Last: Kharrati Author-Name: Farzad Hashemzadeh Author-X-Name-First: Farzad Author-X-Name-Last: Hashemzadeh Author-Name: Mahdi Baradarannia Author-X-Name-First: Mahdi Author-X-Name-Last: Baradarannia Title: Distributed switched model-based predictive control for distributed large-scale systems with switched topology Abstract: Distributed switched large-scale systems are composed by dynamically coupled subsystems, in which interactions among subsystems vary over time according a switching signal. This paper presents a distributed robust switched model-based predictive control (DSwMPC) to control such systems. The proposed method guarantees stabilising the origin of the whole closed-loop system and ensures the constraints satisfaction in the presence of an unknown switching signal. In the distributed model-based predictive control (DMPC) used in this work, by considering the interactions among subsystems as an additive disturbance, the effect of the switch is reflected on the dynamic equation, local, and consistency constraint sets of the nominal subsystems. To compensate the effect of switching signal which creates a time-varying network topology, a robust tube-based switched model-based predictive control (RSwMPC) with switch–robust control invariant set as the target set robust to unknown mode switching is used as local controller. The scheme performance is assessed using three typical examples. The simulation results show that the input and state constraints are satisfied by the proposed DSwMPC at all times. They also validate that the closed-loop system converges to the origin. Also, a comparison of the DSwMPC with a centralised SwMPC (CSwMPC) and a decentralised SwMPC (DeSwMPC) are performed. Journal: International Journal of Systems Science Pages: 980-1004 Issue: 5 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2023.2301043 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2301043 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:5:p:980-1004 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2301496_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: O. Hernández-González Author-X-Name-First: O. Author-X-Name-Last: Hernández-González Author-Name: B. Targui Author-X-Name-First: B. Author-X-Name-Last: Targui Author-Name: G. Valencia-Palomo Author-X-Name-First: G. Author-X-Name-Last: Valencia-Palomo Author-Name: M.E. Guerrero-Sánchez Author-X-Name-First: M.E. Author-X-Name-Last: Guerrero-Sánchez Title: Robust cascade observer for a disturbance unmanned aerial vehicle carrying a load under multiple time-varying delays and uncertainties Abstract: In this article, a novel approach of a robust flight observer for a disturbance quadrotor transporting a payload in the presence of multiple time-varying delays is proposed. The developed algorithm is not only pertinent to a vehicle output signal with multiple small time-varying delays but also to long time-varying delays that are common for a quadrotor transporting a hanging load because a cascade structure is also employed to achieve outstanding performance, and the delay can be removed. The multiple time-varying delays and disturbances are compensated in the system with the proposed observer. The stability of the proposed methodology is proved using the Lyapunov–Krasovskii functional associated with an $ \mathcal {H}_\infty $ H∞ criterion. Numerical simulations are shown to assess and validate the observer's performance and robustness under multiple time-varying delays and disturbances. Journal: International Journal of Systems Science Pages: 1056-1072 Issue: 5 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2023.2301496 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2301496 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:5:p:1056-1072 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2294748_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Moshu Qian Author-X-Name-First: Moshu Author-X-Name-Last: Qian Author-Name: Chenglin Sun Author-X-Name-First: Chenglin Author-X-Name-Last: Sun Author-Name: Cunsong Wang Author-X-Name-First: Cunsong Author-X-Name-Last: Wang Author-Name: Xinggang Yan Author-X-Name-First: Xinggang Author-X-Name-Last: Yan Author-Name: Cuimei Bo Author-X-Name-First: Cuimei Author-X-Name-Last: Bo Title: Control of time-delay interconnected nonlinear systems under input saturations: a broad learning system-based approach Abstract: In this paper, the adaptive control problem is investigated for a class of interconnected nonlinear systems (INS) with unknown interconnection delays and input saturations. For state unmeasurable problem, a full dimension state observer (SO) is designed to estimate the inaccessible state variables. Broad learning system (BLS), a novel nonlinear approximation technique, is introduced in this study to identify the unknown dynamics and could achieve better approximation performance. An adaptive distributed control (DC) scheme is proposed for the uncertain time-delay INS without input saturation, which guarantees that the stability of the closed loop INS. On this basis, the input saturation problem is further considered, an online approximation smooth function is added into the distributed adaptive tracking controller, such that the closed-loop INS have the anti-input saturation capability. In terms of Lyapunov theory, all the signals in the closed-loop uncertain time-delay INS with input saturation are proved to be uniformly ultimately bounded (UUB) and the tracking errors could converge to a small neighbourhood of zero. Finally, one simulation example performed on two parallel inverted pendulum cars demonstrates the superiority of the developed distributed control scheme. Journal: International Journal of Systems Science Pages: 1037-1055 Issue: 5 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2023.2294748 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2294748 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:5:p:1037-1055 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2301039_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Haiyang Chen Author-X-Name-First: Haiyang Author-X-Name-Last: Chen Author-Name: Guangdeng Zong Author-X-Name-First: Guangdeng Author-X-Name-Last: Zong Title: Finite-time output feedback control for discrete-time semi-Markov jump systems with mismatched modes Abstract: This paper addresses the $ H_{\infty } $ H∞ static output feedback control of discrete-time semi-Markov jump systems (S-MJSs) with mismatched modes in finite-time horizon. Different from the existing relevant work, transient dynamics in short-time is focused instead of the Lyapunov stability over infinite-time horizon. Considering the immeasurable system states, output control strategy is developed subject to mismatched modes. Firstly, S-MJSs in closed-loop form are established by designing a hidden mode-dependent output feedback controller. Based on the closed-loop system (CLS), new Lyapunov function relies on both system mode and elapsed-time are created, according to which fresh analysis criteria ensuring FTB and $ H_{\infty } $ H∞ FTB are derived. To circumvent the non-convex difficulty arising in controller design, a separation technique is introduced such that the design prerequisites are obtained from the above performance analysis conditions. Finally, the boost converter circuit and a numerical example are borrowed to test the effectiveness of the proposed results. Journal: International Journal of Systems Science Pages: 941-953 Issue: 5 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2023.2301039 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2301039 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:5:p:941-953 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2301040_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: G. Rigatos Author-X-Name-First: G. Author-X-Name-Last: Rigatos Author-Name: M. Abbaszadeh Author-X-Name-First: M. Author-X-Name-Last: Abbaszadeh Author-Name: J. Pomares Author-X-Name-First: J. Author-X-Name-Last: Pomares Author-Name: P. Wira Author-X-Name-First: P. Author-X-Name-Last: Wira Author-Name: G. Cuccurullo Author-X-Name-First: G. Author-X-Name-Last: Cuccurullo Title: Flatness-based control in successive loops for robotic manipulators and autonomous vehicles Abstract: The control problem for the multivariable and nonlinear dynamics of robotic manipulators and autonomous vehicles is solved with the use of a flatness-based control approach which is implemented in successive loops. The state-space model of these robotic systems is separated into two subsystems, which are connected between them in cascading loops. Each one of these subsystems can be viewed independently as a differentially flat system and control about it can be performed with inversion of its dynamics as in the case of input–output linearised flat systems. The state variables of the second subsystem become virtual control inputs for the first subsystem. In turn, exogenous control inputs are applied to the first subsystem. The whole control method is implemented in two successive loops and its global stability properties are also proven through Lyapunov stability analysis. The validity of the control method is confirmed in two case studies: (a) control of a 3-DOF industrial rigid-link robotic manipulator and (b) control of a 3-DOF autonomous underwater vessel. The novel control method can simplify significantly the solution of the nonlinear control problem for robotic manipulators and vehicles. Unlike global linearisation-based control schemes, the proposed flatness-based method in successive loops does not need any changes in state variables of complicated state-space model transformations. Journal: International Journal of Systems Science Pages: 954-979 Issue: 5 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2023.2301040 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2301040 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:5:p:954-979 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2301037_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Yibang Wu Author-X-Name-First: Yibang Author-X-Name-Last: Wu Author-Name: Yugang Niu Author-X-Name-First: Yugang Author-X-Name-Last: Niu Author-Name: Yekai Yang Author-X-Name-First: Yekai Author-X-Name-Last: Yang Title: Security sliding mode control for T-S fuzzy systems under attack probability-dependent dynamic round-robin protocol Abstract: In this paper, the security control problem for T-S fuzzy systems is investigated through the sliding mode control (SMC) strategy. Consider deception attacks occurring randomly, a multi-modes round-robin protocol is proposed on the sensor-to-controller channel. Under this protocol, the number of transmitted nodes can be dynamically adjusted according to attack probability and system state so as to balance the relationship between system performance and communication transmission. The fuzzy sliding mode controller depending on the scheduling signal is constructed, whose membership functions (MFs) are different from the ones of the controlled system. In addition, by using the membership-function-dependent (MFD) stability analysis method, appropriate sufficient conditions are derived to ensure both the stochastic stability and the reachability. Finally, simulation results are presented to prove the proposed SMC strategy. Journal: International Journal of Systems Science Pages: 926-940 Issue: 5 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2023.2301037 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2301037 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:5:p:926-940 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2301491_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: M. Asha Safana Author-X-Name-First: M. Asha Author-X-Name-Last: Safana Author-Name: R. Sakthivel Author-X-Name-First: R. Author-X-Name-Last: Sakthivel Author-Name: N. Birundha Devi Author-X-Name-First: N. Birundha Author-X-Name-Last: Devi Author-Name: S. Marshal Anthoni Author-X-Name-First: S. Marshal Author-X-Name-Last: Anthoni Title: Disturbance rejection-based non-fragile hybrid-triggered control design for repeated scalar nonlinear systems Abstract: This article features the composite disturbance estimation and non-fragile hybrid-triggered control problems for continuous-time repeated scalar nonlinear systems prone to external disturbances. Priorly, the proportional integral observer comprising of both proportional and integral loops is incorporated to obtain better state estimations. Further, the external disturbance weakening the system performance is carefully estimated by deploying an improved equivalent-input-disturbance technique. Then, the availed disturbance estimate is blended into the control algorithm to exterminate the influence of the disturbance acting upon the proffered system. Next, a hybrid-triggered control comprised of a transition among event and time triggered paradigms are considered to reduce the network transmittance and also to simultaneously enhances the system outcomes. On top of that, the perturbations in controller gain matrix are taken into concern in order to make the controller more resilient towards redundant changes. Following that, utilising the Lyapunov theory, we obtain the mean-square asymptotic stability requirements for the developed system with the use of linear matrix inequalities and configure the gain matrices. Successively, the credibility of the synthesised control system is portrayed by exhibiting two numerical examples. Journal: International Journal of Systems Science Pages: 1005-1020 Issue: 5 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2023.2301491 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2301491 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:5:p:1005-1020 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2300724_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Jianzhou Liu Author-X-Name-First: Jianzhou Author-X-Name-Last: Liu Author-Name: Fuying Tang Author-X-Name-First: Fuying Author-X-Name-Last: Tang Author-Name: Hongzheng Quan Author-X-Name-First: Hongzheng Author-X-Name-Last: Quan Title: High-performance LQR control for continuous time systems with redundant control inputs Abstract: This paper investigates the linear quadratic regulator (LQR) problem for continuous-time linear systems with redundant control inputs. The LQR control problem has been widely studied, but due to technical difficulties, there is little advance in the study of adding input redundancies. To address this problem, a convergent matrix series, the limit of a monotonically decreasing sequence, is first presented as an upper bound of the symmetric positive definite solution of a class of continuous algebraic Riccati equations (CAREs). Compared with the existing studies on this topic, the obtained bounds are more precise. Moreover, by utilising these upper bounds in the LQR problem of adding input redundancies, a class of sufficient conditions is presented to decrease the quadratic performance index. Finally, the corresponding numerical examples are given to illustrate the effectiveness of our results and compare them with the existing results. Meanwhile, some simulation experiments show that systems with redundant control inputs have good control performance. Journal: International Journal of Systems Science Pages: 909-925 Issue: 5 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2023.2300724 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2300724 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:5:p:909-925 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2301493_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Jiawei Zhuang Author-X-Name-First: Jiawei Author-X-Name-Last: Zhuang Author-Name: Shiguo Peng Author-X-Name-First: Shiguo Author-X-Name-Last: Peng Author-Name: Hao Peng Author-X-Name-First: Hao Author-X-Name-Last: Peng Title: Non-fragile exponential synchronisation of stochastic neural networks via aperiodic intermittent impulsive control Abstract: This study aims to address the non-fragile exponential synchronisation problem of stochastic neural networks (SNNs). To cut down unnecessary control costs, a novel aperiodic intermittent-based impulsive control (APIIC) is designed in this investigation. Besides, the randomly occurring gain fluctuation (ROGF) is considered in APIIC, which satisfies certain Bernoulli distributed white noise sequences. By exploiting the Lyapunov approach and the average dwell-time technique, some sufficient criteria are derived in terms of linear matrix inequalities, which ensure that APIIC can achieve exponential synchronisation of SNNs with and without ROGF. More intriguingly, a technical definition of aperiodic window-based average impulsive interval is developed to cut back the conservativeness of these results. At last, the effectiveness of our explored results is confirmed by several numerical examples. Journal: International Journal of Systems Science Pages: 1021-1036 Issue: 5 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2023.2301493 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2301493 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:5:p:1021-1036 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2300718_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Jiang He Author-X-Name-First: Jiang Author-X-Name-Last: He Author-Name: Weihua Cao Author-X-Name-First: Weihua Author-X-Name-Last: Cao Author-Name: Wenkai Hu Author-X-Name-First: Wenkai Author-X-Name-Last: Hu Author-Name: Wenshuo Song Author-X-Name-First: Wenshuo Author-X-Name-Last: Song Author-Name: Min Wu Author-X-Name-First: Min Author-X-Name-Last: Wu Title: Multi-working condition performance assessment based on knowledge extraction of optimal operating states for continuous annealing processes Abstract: Performance assessment is a key to strip quality improvement and energy consumption reduction of Continuous Annealing Processes (CAP). However, existing methods focus on performing the assessment under a single working condition, and the assessment accuracy must be improved. This study proposes a new multi-working-condition performance assessment method based on the knowledge extraction of the optimal operating states for CAP. First, a mechanism–data fusion-based assessment index construction method is proposed for the key parameter selection. Second, a knowledge extraction strategy for the optimal operating states under multiple working conditions is proposed to construct a benchmark library. Third, a knowledge-enhanced assessment model is built to achieve qualitative performance evaluation and quantitative non-optimal traceability. The experiment based on the process data shows the effectiveness of assessing the operating performance, providing decision guidance for strip quality improvement and energy consumption reduction. Journal: International Journal of Systems Science Pages: 894-908 Issue: 5 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2023.2300718 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2300718 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:5:p:894-908 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2300715_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Ning He Author-X-Name-First: Ning Author-X-Name-Last: He Author-Name: Jiawei Du Author-X-Name-First: Jiawei Author-X-Name-Last: Du Author-Name: Zhongxian Xu Author-X-Name-First: Zhongxian Author-X-Name-Last: Xu Author-Name: Fuan Cheng Author-X-Name-First: Fuan Author-X-Name-Last: Cheng Title: Robust model predictive control for perturbed nonlinear systems via an error differential-integral based event-triggered approach Abstract: This paper aims to establish a new event-triggered model predictive control (MPC) strategy for perturbed nonlinear systems working in a networked environment, which can effectively save the computation and communication resources while ensuring control performance. The core of the framework is a new event-triggered mechanism, which is built by combining the differential and integral (D-I) information of the error between the optimal state and the actual state in a pre-specified time horizon. Based on such a triggering mechanism, a D-I based event-triggered robust MPC algorithm is proposed to stabilise the system and reduce the computation/communication resource consumption. In addition, sufficient conditions to ensure the feasibility and stability of the proposed MPC algorithm and avoid Zeno behaviour are obtained through rigorous theoretical analysis. Finally, the proposed control framework is implemented in the nonlinear cart-damper-spring and autonomous underwater vehicle systems to verify its effectiveness. Journal: International Journal of Systems Science Pages: 858-875 Issue: 5 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2023.2300715 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2300715 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:5:p:858-875 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2300149_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Lei Zhang Author-X-Name-First: Lei Author-X-Name-Last: Zhang Author-Name: Qiankun Song Author-X-Name-First: Qiankun Author-X-Name-Last: Song Author-Name: Meihao Fan Author-X-Name-First: Meihao Author-X-Name-Last: Fan Author-Name: Xinyi Yao Author-X-Name-First: Xinyi Author-X-Name-Last: Yao Title: Credit strategy research based on Markov random field and enterprise association knowledge graph Abstract: This paper investigates banks' credit strategies concerning micro, small and medium enterprises (MSMEs) by taking into consideration the intrinsic characteristics of individual enterprises and external correlations among them when assessing credit risk. We analysed transaction data between enterprises and utilised the Bean Search algorithm and Markov random field to construct enterprise network topology diagrams, quantifying inter-enterprise correlations. We also applied the combined weight method to balance their creditworthiness and strength indices and developed a comprehensive and scientifically grounded credit strategy model for MSMEs by employing genetic algorithms to solve nonlinear programming problems. Overall, our proposed model aims to maximise loan revenues while simultaneously minimising the risk of customer default. Journal: International Journal of Systems Science Pages: 844-857 Issue: 5 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2023.2300149 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2300149 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:5:p:844-857 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2300717_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20231214T103247 git hash: d7a2cb0857 Author-Name: Abbas Nemati Author-X-Name-First: Abbas Author-X-Name-Last: Nemati Author-Name: Saleh Mobayen Author-X-Name-First: Saleh Author-X-Name-Last: Mobayen Author-Name: Seyed Hossein Rouhani Author-X-Name-First: Seyed Hossein Author-X-Name-Last: Rouhani Author-Name: Chun-Lien Su Author-X-Name-First: Chun-Lien Author-X-Name-Last: Su Title: Design of nonsingular second-order terminal sliding mode controller for cyber-physical systems with time-delays and cyber-attack on actuators Abstract: This paper introduces an innovative adaptive nonsingular Second-Order Terminal Sliding Mode (SOTSM) control strategy specifically designed to stabilise disturbed nonlinear Cyber-Physical Systems (CPSs) within a finite timeframe. Unlike the conventional methods, our approach incorporates a novel nonlinear sliding surface that eliminates the need for a reaching step, significantly enhancing the system's robustness. Novel real-time adaptive control laws are developed to cope with external perturbations, time-varying delays, and cyber-attack on actuators without requiring the identification of their upper bounds. The proposed method ensures robust performance for time-varying delayed and disturbed nonlinear CPSs, even in the face of strong cyber-attacks targeting the actuators. Moreover, the proposed method has distinct advantages: it delivers rapid response times, enhanced flexibility, exceptional accuracy, smooth and robust control devoid of transient fluctuations or chattering, and ensures finite-time convergence. Simulation results comprehensively demonstrate the superior efficiency and success of our proposed technique compared to traditional methods such as integral Sliding Mode Control (SMC) and State-Feedback Control (SFC) schemes. Journal: International Journal of Systems Science Pages: 876-893 Issue: 5 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2023.2300717 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2300717 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:5:p:876-893 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2303589_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Ze Yan Author-X-Name-First: Ze Author-X-Name-Last: Yan Author-Name: Xuzhi Lai Author-X-Name-First: Xuzhi Author-X-Name-Last: Lai Author-Name: Qingxin Meng Author-X-Name-First: Qingxin Author-X-Name-Last: Meng Author-Name: Jinhua She Author-X-Name-First: Jinhua Author-X-Name-Last: She Author-Name: Min Wu Author-X-Name-First: Min Author-X-Name-Last: Wu Title: Double-loop frame-based adaptive neural sliding-mode control of single-input 3-DOF flexible-joint manipulator Abstract: Flexible-joint manipulators (FJMs) have been attracting much attention in recent decades. However, position control and vibration suppression of single-input (SI) multi-degrees-of-freedom (multi( $ {\geqslant }3 $ ⩾3)-DOF) FJM is still a high mountain to climb due to the characteristic that some states of such FJMs cannot be directly controlled by the SI. This paper aims to carry out this challenging research. We present a double-loop frame-based adaptive neural sliding-mode control method for an uncertain horizontal SI 3-DOF FJM, i.e. a two-link FJM with only one actuator at the first joint. Since only the actuator angle can be directly controlled, in the inner loop, we design a torque controller so that the actuator angle tracks a time-varying reference actuator angle, designed in real-time by the outer loop. In the outer loop, we consider the reference actuator angle as a virtual control signal and design it based on the dynamic coupling relationships, aiming to indirectly control the first link to its target position and suppress the vibration of both links. Furthermore, to enhance the transient system performance, we plan the input signal of the outer loop (i.e. the target angle) as a smooth reference-trajectory signal. The validity and superiority of this method are demonstrated in simulations. Journal: International Journal of Systems Science Pages: 1177-1190 Issue: 6 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2024.2303589 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2303589 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:6:p:1177-1190 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2301497_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Le Trung Hieu Author-X-Name-First: Le Trung Author-X-Name-Last: Hieu Author-Name: Pham Huu Anh Ngoc Author-X-Name-First: Pham Huu Anh Author-X-Name-Last: Ngoc Author-Name: Thai Bao Tran Author-X-Name-First: Thai Bao Author-X-Name-Last: Tran Title: Global exponential stability of nonlinear delayed difference systems with Markovian switching Abstract: This work addresses the global exponential stability of nonlinear delayed discrete-time systems with Markovian switching. By a novel approach, some explicit criteria for the exponential stability in mean square of such systems are derived. An application to discrete-time neural networks is presented. Journal: International Journal of Systems Science Pages: 1104-1113 Issue: 6 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2023.2301497 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2301497 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:6:p:1104-1113 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2304132_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Baomin Li Author-X-Name-First: Baomin Author-X-Name-Last: Li Author-Name: Mou Chen Author-X-Name-First: Mou Author-X-Name-Last: Chen Title: Adaptive fuzzy anti-saturation tracking control for uncertain nonlinear systems with external disturbance Abstract: In this paper, a predictive-based adaptive anti-saturation tracking control scheme is designed for uncertain multiple-input and multiple-output (MIMO) nonlinear systems subject to input constraints and external disturbance. Taking the safety of the MIMO nonlinear systems into account, a safety saturation threshold, which is less than the physical device saturation threshold, is given. In addition, since all signals of the auxiliary systems are not immediately employed to the systems when the input saturation happens, a new predictive-based auxiliary system is designed. Furthermore, to estimate the compound disturbance, with the help of the fuzzy control technology, the nonlinear disturbance observer (NDO) is used. Then, the stability of the closed-loop systems is proved under the designed controller. Finally, a simulation example is given to illustrate the feasibility of the designed anti-saturation controller. Journal: International Journal of Systems Science Pages: 1243-1258 Issue: 6 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2024.2304132 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2304132 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:6:p:1243-1258 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2304128_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Zahra Azimi Author-X-Name-First: Zahra Author-X-Name-Last: Azimi Author-Name: Ahmad Afshar Author-X-Name-First: Ahmad Author-X-Name-Last: Afshar Title: Cyber resilience assessment and enhancement of cyber-physical systems: structural controllability perspective Abstract: In this paper, we address the problem of developing a unified method for quantifying and improving the cyber resilience of large-scale cyber-physical systems (CPSs) against cyber-attacks targeting structural controllability. To this end, we provide necessary and sufficient conditions to extend the concept of structural controllability of single-layer systems to two-layer CPSs comprising of power network as the physical layer and communication network as the cyber layer. Next, in order to assess cyber resilience, we introduce the notion of $ R $ R-resilient CPS as the maximum number of cyber nodes that can be attacked by an adversary while preserving the structural controllability of the entire CPS. Furthermore, we provide an algorithm to find the optimal network reconfiguration matrix to increase the resilience level of CPS from $ R $ R-resilient to $ ({R + 1} ) $ (R+1)-resilient by adding a minimum number of transmission lines to the physical layer or communication links to the cyber layer, or both. Additionally, the proposed methodology is extended to achieve $ ({R + \alpha } ) $ (R+α)-resilient CPS, where α>1. The effectiveness of the proposed method is verified through simulations of IEEE 14, IEEE 39, and IEEE 118 power networks with different cyber topologies, considering four scenarios of denial-of-service (DoS) attacks, including targeted and random node attacks. Journal: International Journal of Systems Science Pages: 1224-1242 Issue: 6 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2024.2304128 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2304128 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:6:p:1224-1242 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2301513_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Liren Shao Author-X-Name-First: Liren Author-X-Name-Last: Shao Author-Name: Jun Yang Author-X-Name-First: Jun Author-X-Name-Last: Yang Author-Name: Zuo Wang Author-X-Name-First: Zuo Author-X-Name-Last: Wang Title: High bandwidth control of slow sampling rate nonlinear systems using alternating predictive GPIOs Abstract: This paper investigates the problem of robust output feedback control tracking for a class of nonlinear dual-rate sample-data systems subject to time-varying disturbances. These dual-rate systems, known as slow measurement fast control (SMFC) systems, are characterised by a slow sampling rate of the sensor and a fast updating rate of the controller. To facilitate high-frequency signal tracking, this paper introduces an alternating predictive generalised proportional integral observer (APGPIO). The proposed control method not only effectively restores the system state and captures disturbance changes between samples but also enhances the control bandwidth and anti-disturbance ability, enabling effective tracking of high-frequency reference outputs. By combining it with a fast updating sample-data feedback controller, APGPIO utilises predictive methods to increase the sampling rate of the system's sensors, matching the update frequency of the controller. Stability analysis demonstrates that the tracking error of this hybrid nonlinear system converges to a bounded region centred at the origin. Finally, the designed method's high control bandwidth and anti-disturbance ability are demonstrated through multiple sets of simulations using a real system. Journal: International Journal of Systems Science Pages: 1127-1140 Issue: 6 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2023.2301513 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2301513 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:6:p:1127-1140 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2301494_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Haoran Yi Author-X-Name-First: Haoran Author-X-Name-Last: Yi Author-Name: Yuanchuang Shan Author-X-Name-First: Yuanchuang Author-X-Name-Last: Shan Author-Name: Huisheng Shu Author-X-Name-First: Huisheng Author-X-Name-Last: Shu Author-Name: Xuekang Zhang Author-X-Name-First: Xuekang Author-X-Name-Last: Zhang Title: Optimal portfolio strategy of wealth process: a Lévy process model-based method Abstract: This paper is concerned with the optimal portfolio problem for a company that can invest in two risky assets, where a novel Lévy-process-driven model is constructed to describe the dynamics of the wealth process by using a constant elasticity of variance model and a jump-diffusion process. A delicately designed value function is proposed under the mean–variance criterion to reflect the optimal portfolio for the stochastic volatility model. By using the verification theorem, the desired optimal portfolio strategy is proposed by the solution to certain Hamilton–Jacobi–Bellman equations. Furthermore, the corresponding expressions are achieved by using the stochastic analysis theory. Finally, a numerical simulation example is provided to verify the effectiveness of the proposed optimal portfolio strategy. Journal: International Journal of Systems Science Pages: 1089-1103 Issue: 6 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2023.2301494 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2301494 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:6:p:1089-1103 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2302903_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Shuang Wang Author-X-Name-First: Shuang Author-X-Name-Last: Wang Author-Name: Bomin Huang Author-X-Name-First: Bomin Author-X-Name-Last: Huang Title: Distributed online optimisation in unknown dynamic environment Abstract: In this paper, the distributed online optimisation problem is considered in an unknown dynamic environment. Compared with the existing results, an unknown dynamic environment causes the problem to be more challenging. An online optimisation algorithm is designed based on distributed mirror descent and distributed average tracking technology. The analysis of dynamic regret is presented and a bounded regret is obtained. Some simulations are given to verify the validity of the designed algorithm. Journal: International Journal of Systems Science Pages: 1167-1176 Issue: 6 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2024.2302903 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2302903 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:6:p:1167-1176 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2304121_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Hui Li Author-X-Name-First: Hui Author-X-Name-Last: Li Author-Name: Shaocheng Tong Author-X-Name-First: Shaocheng Author-X-Name-Last: Tong Title: Adaptive fuzzy consensus secure control of stochastic nonlinear multi-agent systems with false data injection attacks Abstract: This paper discusses the fuzzy adaptive consensus secure control problem for a class of stochastic nonlinear multi-agent systems (MASs) with unknown false data injection attacks. Fuzzy logic systems (FLSs) are used to model unknown nonlinear functions. A distributed filter is proposed to obtain the information of the leader since leaders information is only available to partial agents. To deal with the unknown virtual time-varying gains caused by false data injection attacks, an adaptive compensation method is developed via re-codesigning the virtual controllers. Based on backstepping control methodology and bounded estimation algorithms, an adaptive fuzzy consensus secure controller is proposed. It is proved that all the signals in the closed-loop systems are bounded in probability, and all the output of followers can track the leader under false data injection attacks. Finally, simulation results and comparative results show the effectiveness of the proposed control method. Journal: International Journal of Systems Science Pages: 1191-1205 Issue: 6 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2024.2304121 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2304121 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:6:p:1191-1205 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2268779_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Cai Liu Author-X-Name-First: Cai Author-X-Name-Last: Liu Author-Name: Fang Liu Author-X-Name-First: Fang Author-X-Name-Last: Liu Author-Name: Tianqing Yang Author-X-Name-First: Tianqing Author-X-Name-Last: Yang Author-Name: Kangzhi Liu Author-X-Name-First: Kangzhi Author-X-Name-Last: Liu Title: Improved stability and stabilisation conditions of uncertain switched time-delay systems Abstract: This article is concerned with the stability and stabilisation of switched time-delay systems (STDSs) with exponential uncertainty. Based on the Hurwitz convex combination and the energy attenuation principle, an improved state-dependent switching strategy is proposed, which switches to the next modes to obey the minimum energy. This approach fully considers the system dynamic of subsystems, which is more general. Considering the complex switching and delay dynamics, a mode-dependent Lyapunov–Krasovskii functional (LKF) that contains a triple integral term is constructed. The generalised free-matrix-based integral inequality (GFMBII) is used to estimate the integral terms in the derivative of the LKF, and an improved delay-dependent stability criterion is established in the form of linear matrix inequalities (LMIs). Further, to guarantee the stability of the STDSs with a large time-varying delay, a controller that considers the time delay and the exponential uncertainty is designed. Under this controller, a less conservative delay-dependent robust stabilisation criterion for STDSs with exponential uncertainty is established. The validity of the proposed methods is validated by two numerical examples and an application in river pollution control. Journal: International Journal of Systems Science Pages: 1073-1088 Issue: 6 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2023.2268779 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2268779 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:6:p:1073-1088 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2302558_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Javier Pliego-Jiménez Author-X-Name-First: Javier Author-X-Name-Last: Pliego-Jiménez Author-Name: Miguel Sidón-Ayala Author-X-Name-First: Miguel Author-X-Name-Last: Sidón-Ayala Author-Name: José Daniel Castro-Díaz Author-X-Name-First: José Author-X-Name-Last: Daniel Castro-Díaz Title: Attitude tracking of rigid bodies using exponential coordinates and a disturbance observer Abstract: In this paper, we study the problem of attitude trajectory tracking of rigid bodies subject to external disturbances. The attitude control problem has been studied in the last decades and novel solutions have been proposed. Nevertheless, most of the proposed controllers only achieve local or almost global asymptotic stability without considering external disturbances. Contrary to other works, we focus on the problem of achieving almost global exponential stability of the attitude tracking errors in the presence of external disturbances using continuous control laws. We propose an attitude trajectory tracking controller based on the exponential coordinates of rotation in combination with a disturbance observer that estimates the exogenous signals. To solve this problem, we adopt a hierarchical approach, where the proposed control law is divided into a kinematic controller (outer control loop) and a velocity tracking controller (inner control loop). To design the disturbance observer, it is assumed that exogenous signals can be generated by a linear exosystem, i.e. the magnitude and phase of the disturbance are unknown. The almost global exponential stability of the closed-loop dynamics' equilibrium point was proved by a strict Lyapunov function. The performance of the proposed approach is assessed by numerical simulations and experimental tests on a low-cost quadrotor. Journal: International Journal of Systems Science Pages: 1141-1155 Issue: 6 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2024.2302558 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2302558 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:6:p:1141-1155 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2304127_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Dawei Sun Author-X-Name-First: Dawei Author-X-Name-Last: Sun Author-Name: Inseok Hwang Author-X-Name-First: Inseok Author-X-Name-Last: Hwang Author-Name: James Goppert Author-X-Name-First: James Author-X-Name-Last: Goppert Title: A stealthy man-in-the-middle attack strategy for switched systems Abstract: To address the security of cyber-physical systems, stealthy attacks, a class of false data injection attacks that can impact a system without being detected, have been studied in the recent decade. The existing discussions on stealthy attack design have rarely considered systems with switching structures, but recent literature shows the importance of this problem. Therefore, we are motivated to investigate a stealthy man-in-the-middle attack strategy that can be applied to switched systems. Specifically, we first investigate how to design a stealthy attack without using mode information. Then, we consider whether the attacker can infer the mode information that can be used to design a stealthy attack. By combining mode identification and stealthy attack design, a stealthy man-in-the-middle attack strategy for switched systems is proposed. In addition, the feasibility and effectiveness of the strategy are discussed, and an illustrative numerical example is given to demonstrate the proposed strategy. Journal: International Journal of Systems Science Pages: 1206-1223 Issue: 6 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2024.2304127 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2304127 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:6:p:1206-1223 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2304133_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Xing-Yu Zhang Author-X-Name-First: Xing-Yu Author-X-Name-Last: Zhang Author-Name: Yuan-Xin Li Author-X-Name-First: Yuan-Xin Author-X-Name-Last: Li Author-Name: Jiaxu Sun Author-X-Name-First: Jiaxu Author-X-Name-Last: Sun Title: Observer-based robust adaptive neural control for nonlinear multi-agent systems with quantised input Abstract: This article discusses the issue of robust adaptive neural network (NN) consensus tracking control for nonlinear strict-feedback multi-agent systems with quantised input. By combining the neural network approach with robust techniques, a novel switching function is introduced to guarantee the tracking performance of this system. To estimate the unmeasured state, an NN-based adaptive state observer is developed. Based on backstepping dynamic surface control algorithms, a robust output feedback controller is constructed to guarantee that all signals in the closed-loop system remain globally uniformly ultimately bounded. Finally, numerical simulations are carried out to demonstrate the effectiveness of the presented algorithm. Journal: International Journal of Systems Science Pages: 1270-1282 Issue: 6 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2024.2304133 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2304133 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:6:p:1270-1282 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2304124_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Mahdi Abbasi Mahalle Author-X-Name-First: Mahdi Author-X-Name-Last: Abbasi Mahalle Author-Name: Amin Ramezani Author-X-Name-First: Amin Author-X-Name-Last: Ramezani Author-Name: Ali Moarefianpour Author-X-Name-First: Ali Author-X-Name-Last: Moarefianpour Title: Adaptive terminal sliding mode active fault-tolerant control for a class of uncertain nonlinear systems with application of aircraft wing model with actuator faults Abstract: In this paper, the adaptive finite-time fault-tolerant control (FTC) problem is investigated for uncertain nonlinear strict-feedback systems. The strict-feedback nonlinear system considered in this paper contains unknown nonlinear dynamics and actuator faults (both lock-in-place and loss of effectiveness). In this control process, adaptive laws are used to approximate unknown nonlinear functions. By using the sliding mode control technique and combining it with the adaptive backstepping control design, an adaptive terminal sliding mode FTC scheme is proposed. It is proved that the closed-loop system is finite-time stable and that the system output can track a given reference signal. Simulation results further show the efficacy of the designed control approach. Journal: International Journal of Systems Science Pages: 1259-1269 Issue: 6 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2024.2304124 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2304124 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:6:p:1259-1269 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2301498_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Shuangyun Xing Author-X-Name-First: Shuangyun Author-X-Name-Last: Xing Author-Name: Hao Luan Author-X-Name-First: Hao Author-X-Name-Last: Luan Author-Name: Feiqi Deng Author-X-Name-First: Feiqi Author-X-Name-Last: Deng Title: Exponential synchronisation for delayed Clifford-valued coupled switched neural networks via static event-triggering rule Abstract: In the paper, the exponential synchronisation for delayed Clifford-valued coupled switched neural networks via static event-triggering rule is studied. Firstly, the drive-response systems for delayed Clifford-valued coupled neural network models are established. So as to avoid the non-commutativity issue of Clifford number multiplication, the original n-dimensional Clifford-valued models are decomposed into $ 2 ^mn $ 2mn-dimensional real-valued models. On this basis, the error dynamics system is constructed, and then some new sufficient conditions are presented of the exponential synchronisation for the considered neural network models by using Lyapunov–Krasovskii (L-K) functional approach and the technique of linear matrix inequality. Finally, the effectiveness of the results are verified by numerical simulations. Journal: International Journal of Systems Science Pages: 1114-1126 Issue: 6 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2023.2301498 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2301498 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:6:p:1114-1126 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2302883_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Grace S. Deaecto Author-X-Name-First: Grace S. Author-X-Name-Last: Deaecto Author-Name: Lucas N. Egidio Author-X-Name-First: Lucas N. Author-X-Name-Last: Egidio Author-Name: Lucas C. Costanzo Author-X-Name-First: Lucas C. Author-X-Name-Last: Costanzo Title: Trajectory tracking with integral action of switched periodic affine systems Abstract: This paper deals with integral control of a class of switched affine systems characterised by time-varying differential equations that, along with the discontinuities caused by the switching, also depend periodically on an exogenous parameter, which is an affine function of time. The goal is to design a state-dependent switching function with integral action that ensures global asymptotic tracking of a trajectory of interest. The integral action is responsible for providing robustness to the system against uncertainties and load variations, whenever the discrepancy between the model and the real system is sufficiently bounded. Due to the integrator, all the convex combinations of the dynamic matrices are non-Hurwitz. In this case, the main difficulty is to guarantee that the time derivative of the Lyapunov function is strictly negative definite, which is done by means of LMIs and conditions on the affine terms. To the best of our knowledge, this is the first Lyapunov-based switching rule with integral action able to ensure global asymptotic tracking of a pre-specified profile. When applied to AC circuits the advantage is to design the switching rule based on the original system, without resorting to averaged models. The theory is illustrated by the control of a three-phase AC-DC converter. Journal: International Journal of Systems Science Pages: 1156-1166 Issue: 6 Volume: 55 Year: 2024 Month: 04 X-DOI: 10.1080/00207721.2024.2302883 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2302883 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:6:p:1156-1166 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2308698_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Chungang Shi Author-X-Name-First: Chungang Author-X-Name-Last: Shi Title: Second-order neutral impulsive stochastic evolution equations with infinite delay: existence, uniqueness and averaging principle Abstract: In this paper, a class of second-order neutral impulsive stochastic evolution equations with infinite delay driven by fractional Brownian motion and Poisson jumps is considered. We utilise the Carathéodory approximation technique, the Burkhölder–Davies–Gundy inequality and the Gronwall inequality to present the existence and uniqueness of mild solutions for the addressed system under Carathéodory conditions. Furthermore, we derive an averaging principle for the proposed system which is approximated by the simplified equation in the sense of mean square. Finally, an application is used to illustrate the obtained theoretical results. Journal: International Journal of Systems Science Pages: 1420-1436 Issue: 7 Volume: 55 Year: 2024 Month: 05 X-DOI: 10.1080/00207721.2024.2308698 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2308698 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:7:p:1420-1436 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2307954_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Chenyu Tian Author-X-Name-First: Chenyu Author-X-Name-Last: Tian Author-Name: Hongjing Liang Author-X-Name-First: Hongjing Author-X-Name-Last: Liang Title: Fixed-time adaptive event-triggered control for multiagent systems with full-state constraints Abstract: This paper investigates the fixed-time adaptive event-triggered control problem for a class of nonlinear multiagent systems with full-state constraints. The problem of full-state constraints is solved for multiagent systems by utilising a one-to-one nonlinear mapping. The design conditions of the controllers are more easily satisfied than the existing barrier Lyapunov functions strategy. A fixed-time adaptive control scheme is proposed for unconstrained systems that are converted from constrained systems. In contract with the existing finite-time control schemes that rely on the initial states, this restriction condition can be removed in this paper. An improved event-triggered mechanism with an adaptable switching threshold is designed to provide flexible switching between fixed threshold and variable threshold policies, resulting in reduced execution and sampling. It is proved via the Lyapunov stability method that all signals of the closed-loop systems are semi-global practical fixed-time stable. Finally, the effectiveness of the proposed control strategy is verified by some simulation results. Journal: International Journal of Systems Science Pages: 1393-1409 Issue: 7 Volume: 55 Year: 2024 Month: 05 X-DOI: 10.1080/00207721.2024.2307954 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2307954 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:7:p:1393-1409 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2307955_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Meiyu Zhang Author-X-Name-First: Meiyu Author-X-Name-Last: Zhang Author-Name: Panpan Gu Author-X-Name-First: Panpan Author-X-Name-Last: Gu Author-Name: Senping Tian Author-X-Name-First: Senping Author-X-Name-Last: Tian Title: Dissipativity-based iterative learning control for singular systems Abstract: In this paper, the framework of dissipativity-based iterative learning control for singular systems (SSs) is established for the first time. Firstly, under the P-type learning algorithm, it has been demonstrated that the dissipative SSs can achieve the accurate tracking for the desired trajectory in a finite time interval. Secondly, a sufficient condition for the SSs to satisfy dissipativity is given by using the linear matrix inequality (LMI) method, and the solvability criterion of the LMI is further presented. Moreover, the relationship between dissipativity and positive realness is revealed. Finally, two examples are given to verify the effectiveness of the proposed method. Journal: International Journal of Systems Science Pages: 1410-1419 Issue: 7 Volume: 55 Year: 2024 Month: 05 X-DOI: 10.1080/00207721.2024.2307955 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2307955 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:7:p:1410-1419 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2305305_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Junye Zhang Author-X-Name-First: Junye Author-X-Name-Last: Zhang Author-Name: Zhen Liu Author-X-Name-First: Zhen Author-X-Name-Last: Liu Author-Name: Quanmin Zhu Author-X-Name-First: Quanmin Author-X-Name-Last: Zhu Title: Adaptive security control for uncertain delayed semi-Markov jump systems subject to cyber attacks and actuator failures Abstract: This note investigates the adaptive security control issue for uncertain delayed semi-Markov jump systems (DSMJSs) within the framework of sliding mode control (SMC), in which the DSMJSs are affected by generally unknown transition rates (GUTRs), actuator failures (AFs) and cyber attacks. By the virtue of the strong approximation ability of neural network (NN), an adaptive NN-based SMC synthesis is carried out, which could not only force the state trajectories onto the proposed sliding surface but also ensure the DSMJSs operate as demanded in spite of the interference errors, structural uncertainty, hidden AFs, cyber attacks and GUTRs. Then, in view of the reachability of the proposed linear-type sliding mode surface (SMS), linear matrix inequalities (LMIs) and stochastic stability theory, a novel stochastically stable criterion for the resultant DSMJSs is obtained. At last, the single-link robot arm model is offered as an instance with simulation to illustrate the viability of the devised strategy. Journal: International Journal of Systems Science Pages: 1346-1362 Issue: 7 Volume: 55 Year: 2024 Month: 05 X-DOI: 10.1080/00207721.2024.2305305 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2305305 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:7:p:1346-1362 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2306193_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Khadidja Saoudi Author-X-Name-First: Khadidja Author-X-Name-Last: Saoudi Author-Name: Khansa Bdirina Author-X-Name-First: Khansa Author-X-Name-Last: Bdirina Author-Name: Kamel Guesmi Author-X-Name-First: Kamel Author-X-Name-Last: Guesmi Title: Robust estimation and control of uncertain affine nonlinear systems using predictive sliding mode control and sliding mode observer Abstract: This paper proposes an enhanced and robust tracking control method for the class of uncertain and disturbed affine nonlinear systems. The approach is based on predictive sliding mode control (PSMC) to combine the advantages of sliding mode control (SMC) with those of model predictive control (MPC). The resulting controller offers numerous benefits, including high robustness, quick transient response, finite-time convergence, and robustness against uncertainties and external disturbances. However, a significant limitation of the proposed PSMC is its reliance on prior knowledge of the disturbance and uncertainty bounds. To address this drawback, a sliding mode observer (SMO) is synthesised to identify uncertainties and disturbances. The proposed controller successfully eliminates the chattering effect without compromising robustness and precision. The Lyapunov theory is used to prove the stability of the closed-loop system. The effectiveness of the proposed approach is validated through simulations on a well-known benchmark. Journal: International Journal of Systems Science Pages: 1480-1492 Issue: 7 Volume: 55 Year: 2024 Month: 05 X-DOI: 10.1080/00207721.2024.2306193 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2306193 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:7:p:1480-1492 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2308699_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: K. R. Achu Govind Author-X-Name-First: K. R. Author-X-Name-Last: Achu Govind Author-Name: Subhasish Mahapatra Author-X-Name-First: Subhasish Author-X-Name-Last: Mahapatra Author-Name: Soumya Ranjan Mahapatro Author-X-Name-First: Soumya Ranjan Author-X-Name-Last: Mahapatro Title: Enhanced decentralised fractional-order control using tree seed optimisation and singular value analysis Abstract: Higher-order multi-input multi-output systems pose challenges in terms of stability and control performance due to increased complexity and interactions between multiple subsystems. Hence, this research work proposes a novel comprehensive approach to design a decentralised fractional order control strategy for higher-order systems using tree seed algorithm. The design focuses on enhancing control performance by imposing constraints on performance indices – the integral of absolute error and closed-loop amplitude ratio. Further, this work incorporates stability analysis through the singular values of the sensitivity function. The proposed decentralised fractional-order proportional-integral-derivative (FOPID) controller parameters are optimised using the tree seed algorithm. Besides, the stability is examined using the singular values of the sensitivity function. The tree seed algorithm explores the parameter space and converges to optimal controller settings that satisfy the imposed constraints by ensuring system stability. Simulation studies are conducted on various higher-order systems to analyse the proposed approach. The findings demonstrate that the decentralised control with tree seed algorithm-based FOPID controller achieves improved control performance by reducing the loop interactions among subsystems with enhanced stability. Furthermore, robustness is ensured by considering output uncertainty and parameter variations. Journal: International Journal of Systems Science Pages: 1437-1464 Issue: 7 Volume: 55 Year: 2024 Month: 05 X-DOI: 10.1080/00207721.2024.2308699 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2308699 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:7:p:1437-1464 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2307953_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Tran Ngoc Nguyen Author-X-Name-First: Tran Ngoc Author-X-Name-Last: Nguyen Title: A new approach to state bounding for coupled differential-difference equations with bounded disturbances Abstract: In this paper, we present a new method to the state bounding problem for a class of coupled differential-difference equations (CDDEs) with bounded disturbances and time-varying delays. Instead of using the state transformation to reformulate the considered problem into the one for non-perturbed CDDEs, our novel idea is to construct suitable comparison systems, from which the state vector can be estimated directly and the information on the initial value is exploited more effectively in order to derive a sharper state bound. For computing and minimising the state bound, a numerical linear programming-based algorithm is also presented. The effectiveness of the presented method is verified via two numerical examples. Journal: International Journal of Systems Science Pages: 1377-1392 Issue: 7 Volume: 55 Year: 2024 Month: 05 X-DOI: 10.1080/00207721.2024.2307953 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2307953 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:7:p:1377-1392 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2304670_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Shijia Kang Author-X-Name-First: Shijia Author-X-Name-Last: Kang Author-Name: Peter Xiaoping Liu Author-X-Name-First: Peter Xiaoping Author-X-Name-Last: Liu Author-Name: Huanqing Wang Author-X-Name-First: Huanqing Author-X-Name-Last: Wang Title: Decentralised adaptive neural finite-time prescribed performance control for nonlinear large-scale systems based on command filtering Abstract: In this research, the issue of decentralised adaptive neural finite-time prescribed performance control is discussed for nonstrict-feedback large-scale nonlinear interconnected systems subject to dead zones input and unknown control direction. The obstacle of ‘explosion of complex’ occurred in conventional backstepping design can be surmounted by adopting the command filter technique and nonlinearities are approximated by introducing an adaptive neural control approach. To handle the obstacles due to unknown directions and unknown interconnections, Nussbaum-type functions and two smooth functions are used and designed. Meanwhile, error compensation signals are introduced to deal with the problem associated with the dynamic surface method. To constraint the output tracking error within a predefined boundary in finite time, an improved performance function, i.e. finite-time performance function is introduced. Different from existing control results, the developed control methodology does not require any information on the boundedness of dead-zone parameters. It is further proved that the constructed controller not only assures the semi-global boundedness of all the controlled system signals, but also makes the output tracking errors reach within a predefined small set. Finally, both numerical and practical examples are supplied to further validate the effectiveness of the presented theoretic result. Journal: International Journal of Systems Science Pages: 1326-1345 Issue: 7 Volume: 55 Year: 2024 Month: 05 X-DOI: 10.1080/00207721.2024.2304670 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2304670 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:7:p:1326-1345 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2304666_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Junpeng Deng Author-X-Name-First: Junpeng Author-X-Name-Last: Deng Author-Name: Massimo Tipaldi Author-X-Name-First: Massimo Author-X-Name-Last: Tipaldi Author-Name: Luigi Glielmo Author-X-Name-First: Luigi Author-X-Name-Last: Glielmo Author-Name: Paolo Roberto Massenio Author-X-Name-First: Paolo Roberto Author-X-Name-Last: Massenio Author-Name: Luigi Del Re Author-X-Name-First: Luigi Author-X-Name-Last: Del Re Title: A dynamic programming approach for energy management in hybrid electric vehicles under uncertain driving conditions Abstract: This paper addresses the limited adaptability and the computational burden of energy management systems (EMSs) for hybrid electric vehicles (HEVs) implemented via dynamic programming (DP)-based approaches. First, a deterministic dynamic programming (DDP) framework is presented to solve HEV EMS problems subject to a specific driving cycle. To address this limitation, an improved DDP approach, integrating the actual travelled position of the vehicle into the control law, is proposed. This way, a given DDP-based EMS can be applied to all the driving cycles, yet still measured on the same road. Stochastic dynamic programming (SDP)-based EMSs are also developed and prove to be more adaptive to driving scenarios completely different from the ones used for their computation. Real-world driving cycles are employed in all the presented cases, while a reduced HEV powertrain model is used to alleviate the typical DP computational burden. Journal: International Journal of Systems Science Pages: 1304-1325 Issue: 7 Volume: 55 Year: 2024 Month: 05 X-DOI: 10.1080/00207721.2024.2304666 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2304666 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:7:p:1304-1325 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2304665_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Dingran Yuan Author-X-Name-First: Dingran Author-X-Name-Last: Yuan Author-Name: Xinyi Yu Author-X-Name-First: Xinyi Author-X-Name-Last: Yu Author-Name: Shaoyuan Li Author-X-Name-First: Shaoyuan Author-X-Name-Last: Li Author-Name: Xiang Yin Author-X-Name-First: Xiang Author-X-Name-Last: Yin Title: Safe-by-construction autonomous vehicle overtaking using control barrier functions and model predictive control Abstract: Ensuring safety for vehicle overtaking systems is one of the most fundamental and challenging tasks in autonomous driving. This task is particularly intricate when the vehicle must not only overtake its front vehicle safely but also consider the presence of potential opposing vehicles in the opposite lane that it will temporarily occupy. In order to tackle the overtaking task in such challenging scenarios, we introduce a novel integrated framework tailored for vehicle overtaking manoeuvres. Our approach integrates the theories of varying-level control barrier functions (CBF) and time-optimal model predictive control (MPC). The main feature of our proposed overtaking strategy is that it is safe-by-construction, which enables rigorous mathematical proof and validation of the safety guarantees. We show that the proposed framework is applicable when the opposing vehicle is either fully autonomous or driven by human drivers. To demonstrate our framework, we perform a set of simulations for overtaking scenarios under different settings. The simulation results show the superiority of our framework in the sense that it ensures collision-free and achieves better safety performance compared with the standard MPC-based approach without safety guarantees. Journal: International Journal of Systems Science Pages: 1283-1303 Issue: 7 Volume: 55 Year: 2024 Month: 05 X-DOI: 10.1080/00207721.2024.2304665 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2304665 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:7:p:1283-1303 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2308702_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Qingkun Yu Author-X-Name-First: Qingkun Author-X-Name-Last: Yu Author-Name: Xiqin He Author-X-Name-First: Xiqin Author-X-Name-Last: He Author-Name: Libing Wu Author-X-Name-First: Libing Author-X-Name-Last: Wu Author-Name: Liangdong Guo Author-X-Name-First: Liangdong Author-X-Name-Last: Guo Title: Event-triggered prescribed time adaptive fuzzy output-feedback control for nonlinear systems subject to bounded disturbances via command filtering Abstract: The issue of prescribed time adaptive fuzzy output-feedback event-triggered control strategy subject to bounded disturbances is considered in this paper. For the unmeasured states, an adaptive fuzzy observer is designed to estimate them. Then, a novel event-triggering condition involving a decreasing function containing the error between the system states is designed by synthesising the backstepping design framework and command filtered technique. The developed prescribed finite time control approach ensures that all signals of the closed-loop system are bounded and the tracking error remains within the predefined bound in the prescribed time. Meanwhile, Zeno phenomenon can be avoided. Finally, a mass-spring-damper system is taken as an example for simulation. Journal: International Journal of Systems Science Pages: 1465-1479 Issue: 7 Volume: 55 Year: 2024 Month: 05 X-DOI: 10.1080/00207721.2024.2308702 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2308702 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:7:p:1465-1479 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2305691_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Aolei Yang Author-X-Name-First: Aolei Author-X-Name-Last: Yang Author-Name: Hao Wang Author-X-Name-First: Hao Author-X-Name-Last: Wang Author-Name: Qing Sun Author-X-Name-First: Qing Author-X-Name-Last: Sun Author-Name: Minrui Fei Author-X-Name-First: Minrui Author-X-Name-Last: Fei Title: Moving horizon estimation based on distributionally robust optimisation Abstract: This paper presents a novel moving horizon estimation approach based on distributionally robust optimisation to tackle the state estimation problem of non-linear systems with missing noise distribution information. The proposed method adopts a fuzzy set to mitigate the impact of uncertainties on state estimation. Specifically, the method derives an empirical distribution within the prediction window using a priori data and constructs a fuzzy sphere set using the Wasserstein metric with the empirical distribution as the sphere centre. This enables the estimation of the state sequence under the worst probability distribution of the fuzzy set. To demonstrate the effectiveness of the proposed method, a simple simulation example is conducted to compare its performance with that of traditional moving horizon estimation. The results provide evidence of the feasibility and superiority of the proposed approach. Journal: International Journal of Systems Science Pages: 1363-1376 Issue: 7 Volume: 55 Year: 2024 Month: 05 X-DOI: 10.1080/00207721.2024.2305691 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2305691 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:7:p:1363-1376 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2314215_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Erdal Cokmez Author-X-Name-First: Erdal Author-X-Name-Last: Cokmez Author-Name: Ibrahim Kaya Author-X-Name-First: Ibrahim Author-X-Name-Last: Kaya Title: Optimal design of I-PD controller for disturbance rejection of time delayed unstable and integrating-unstable processes Abstract: Disturbance rejection has always been a major phenomenon in control theory. Disturbances that arise in control of unstable or integrating unstable processes with time delay present considerable difficulties for classical PID controllers. This paper supplies analytical tuning rules, derived from optimum disturbance rejection responses to minimise the error signal according to several integral performance criteria to identify the tuning parameters of the I-PD controller. The provided analytical rules offer the advantage of calculating controller parameters without the necessity of employing an optimisation algorithm. This simplifies the tuning process and allows for a straightforward determination of the controller's parameters, making it more convenient and efficient for practical implementation in control systems. Comprehensive simulations were performed to validate the effectiveness of the proposed I-PD controller in terms of disturbance rejection responses, control signals, perturbation in process parameters, measurement noises, TV values, Ms values, and integral performance indicators. Overall, the outcomes demonstrate that the introduced method for the tuning of I-PD controllers offers notable advantages when compared to other tuning methods found in the literature. Journal: International Journal of Systems Science Pages: 1610-1638 Issue: 8 Volume: 55 Year: 2024 Month: 06 X-DOI: 10.1080/00207721.2024.2314215 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2314215 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:8:p:1610-1638 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2315219_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Xuan Zhao Author-X-Name-First: Xuan Author-X-Name-Last: Zhao Author-Name: Shaosheng Zhou Author-X-Name-First: Shaosheng Author-X-Name-Last: Zhou Title: Event-triggered interval type-2 fuzzy control of networked systems with extended dissipative under Markovian switching Abstract: In this technical note, the problem of the extended dissipative control for interval type-2 fuzzy model with nonlinear network systems in the event-triggered framework is investigated. A novel dynamic event-triggered strategy is developed to ascertain the instants of activation. It has the advantage of reducing data transmission and optimising the utilisation of communication resources. On the basis of the proposed mechanism, the stochastic Lyapunov function including internal dynamic variables is constructed. Based on this function, coupled with the inequality scaling technique and the application of Dynkin's formula, we derive a sufficient condition for the system's stochastic asymptotic stability and extended dissipativity. The design of the dynamic event-triggered extended dissipative controller becomes challenging because the new sufficient condition is nonlinear for some matrix variables. However, utilising the Projection Lemma and the co-design approach, such a controller can be developed based on the obtained analysis result. The methodology is demonstrated through a rigorous numerical simulation case study. Journal: International Journal of Systems Science Pages: 1639-1654 Issue: 8 Volume: 55 Year: 2024 Month: 06 X-DOI: 10.1080/00207721.2024.2315219 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2315219 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:8:p:1639-1654 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2312882_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Yue Sun Author-X-Name-First: Yue Author-X-Name-Last: Sun Author-Name: Ming Chen Author-X-Name-First: Ming Author-X-Name-Last: Chen Author-Name: Kaixiang Peng Author-X-Name-First: Kaixiang Author-X-Name-Last: Peng Author-Name: Libing Wu Author-X-Name-First: Libing Author-X-Name-Last: Wu Author-Name: Cungen Liu Author-X-Name-First: Cungen Author-X-Name-Last: Liu Title: Finite-time adaptive optimal control of uncertain strict-feedback nonlinear systems based on fuzzy observer and reinforcement learning Abstract: This paper proposes an adaptive optimal control strategy of finite-time control for high-order uncertain strict-feedback nonlinear systems. Firstly, a reinforcement learning (RL) based an optimal control scheme is employed to design a optimal controller, to achieve global optimisation. Additionally, considering the unmeasurable states, we construct a fuzzy observer and utilise fuzzy logic systems to approximate the unknown functions. Meanwhile, the inclusion of command filtering and time-based control simplifies the controller design and enhances the system's response rapidity. Finally, the effectiveness and feasibility of the proposed approach are validated through a numerical simulation and a single link-robot system simulation. Journal: International Journal of Systems Science Pages: 1553-1570 Issue: 8 Volume: 55 Year: 2024 Month: 06 X-DOI: 10.1080/00207721.2024.2312882 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2312882 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:8:p:1553-1570 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2317349_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Qian Wang Author-X-Name-First: Qian Author-X-Name-Last: Wang Author-Name: Yan Jin Author-X-Name-First: Yan Author-X-Name-Last: Jin Title: Fully actuated system approach for spacecraft rendezvous system with actuator saturation Abstract: This paper explores the application of a fully actuated system (FAS) approach to a spacecraft rendezvous system with actuator saturation. A FAS model for the spacecraft rendezvous system is developed, followed by the design of an extended state observer (ESO) to estimate unmeasurable states and the system's nonlinear terms. The saturation issue is addressed using the convex hull method. By the designed ESO, a state feedback controller for the system is designed using the FAS approach, resulting in a constant linear closed-loop system whose eigenvalues can be arbitrarily assigned. This method simplifies the controller design process and provides a more accurate system model without the linearisation of nonlinear terms, thereby improving control accuracy. Simulation results show the effectiveness and usefulness of the proposed method. Journal: International Journal of Systems Science Pages: 1709-1718 Issue: 8 Volume: 55 Year: 2024 Month: 06 X-DOI: 10.1080/00207721.2024.2317349 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2317349 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:8:p:1709-1718 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2314214_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Min-Sung Koo Author-X-Name-First: Min-Sung Author-X-Name-Last: Koo Author-Name: Ho-Lim Choi Author-X-Name-First: Ho-Lim Author-X-Name-Last: Choi Title: Non-predictor event-triggered controller for high-order feedforward nonlinear systems with unknown time-varying delays in the states and input Abstract: This paper studies the global regulation problem by a non-predictor event-triggered controller for high-order feedforward nonlinear systems with unknown time-varying delays in the states and input. We propose a non-predictor-based event-triggered controller with a dynamic gain-scaling factor, in which any information on the delays is not required in controller design. The dynamic gain-scaling factor is utilised to deal with high-order terms so that the considered class of systems are generalised over the previous results. The simulation results effectively demonstrate the validity of our proposed control method. Journal: International Journal of Systems Science Pages: 1596-1609 Issue: 8 Volume: 55 Year: 2024 Month: 06 X-DOI: 10.1080/00207721.2024.2314214 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2314214 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:8:p:1596-1609 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2316249_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Tengfei Duan Author-X-Name-First: Tengfei Author-X-Name-Last: Duan Author-Name: Weiqiang Gong Author-X-Name-First: Weiqiang Author-X-Name-Last: Gong Author-Name: Qiang Li Author-X-Name-First: Qiang Author-X-Name-Last: Li Author-Name: Kai Wang Author-X-Name-First: Kai Author-X-Name-Last: Wang Author-Name: Fanrong Sun Author-X-Name-First: Fanrong Author-X-Name-Last: Sun Title: Improved μ-state estimation for Markovian switching CVNNs with mixed delays: event-triggered mechanism Abstract: In this paper, the μ-state estimation issue for Markovian switching complex-valued neural networks with mixed delays has been addressed. To conserve communication resources, an effective event-triggered mechanism is proposed, which relays on a Markovian switching positive threshold. By resorting to Lyapunov stability theory, stochastic analysis method and matrix inequalities technique, some sufficient criteria are established to guarantee the estimation error system is stochastic μ-stable in the mean sense. Moreover, the expected estimator gain matrices can be accurately achieved by solving some obtained matrix inequalities. Besides, it is should be pointed that the μ-stability involves exponential, power, and logarithmic stability, which expands a mass of existed relevant results. In the end, for power stability, one numerical example is provided to substantiate the effectiveness and credibility of the obtained theoretical results. Journal: International Journal of Systems Science Pages: 1673-1692 Issue: 8 Volume: 55 Year: 2024 Month: 06 X-DOI: 10.1080/00207721.2024.2316249 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2316249 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:8:p:1673-1692 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2293480_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Jie Wang Author-X-Name-First: Jie Author-X-Name-Last: Wang Author-Name: Shaoyuan Li Author-X-Name-First: Shaoyuan Author-X-Name-Last: Li Title: Receding optimal synthesis of robust consensus for multi-agent systems with limited communication Abstract: A novel strategy based on the robust distributed model predictive control (DMPC) is proposed in this paper to address the consensus of multi-agent systems subjected to unknown-but-bounded disturbances with limited communication range. The proposed strategy utilises the formulation of the tube-based predictive control and has the ability to handle the explicit input constraints and achieve the bounded consensus with initial communication topology preserved under the disturbances. In this proposed strategy, a novel constraint is designed to guarantee the connectivity of the system under the disturbances, and the synthesis methods are proposed for the controller. Meanwhile, it is proved that the proposed algorithm in this paper is recursively feasible, the connectivity can always be preserved and the system can finally reach bounded consensus under the disturbances. A simulation example is provided to demonstrate the proposed robust DMPC-based strategy. Journal: International Journal of Systems Science Pages: 1493-1509 Issue: 8 Volume: 55 Year: 2024 Month: 06 X-DOI: 10.1080/00207721.2023.2293480 File-URL: http://hdl.handle.net/10.1080/00207721.2023.2293480 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:8:p:1493-1509 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2312886_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Ding Wang Author-X-Name-First: Ding Author-X-Name-Last: Wang Author-Name: Ao Liu Author-X-Name-First: Ao Author-X-Name-Last: Liu Author-Name: Junfei Qiao Author-X-Name-First: Junfei Author-X-Name-Last: Qiao Title: A model-free deep integral policy iteration structure for robust control of uncertain systems Abstract: In this paper, we develop an improved data-based integral policy iteration method to address the robust control issue for nonlinear systems. Combining multi-step neural networks with pre-training, the condition of selecting the initial admissible control policy is relaxed even though the information of system dynamics is unknown. Based on adaptive critic learning, the established algorithm is conducted to attain the optimal controller. Then, the robust control strategy is derived by adding the feedback gain. Furthermore, the computing error is considered during the process of implementing matrix inverse operation. Finally, two examples are presented to verify the effectiveness of the constructed algorithm. Journal: International Journal of Systems Science Pages: 1571-1583 Issue: 8 Volume: 55 Year: 2024 Month: 06 X-DOI: 10.1080/00207721.2024.2312886 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2312886 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:8:p:1571-1583 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2315222_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Songnan Zou Author-X-Name-First: Songnan Author-X-Name-Last: Zou Author-Name: Xiaohua Li Author-X-Name-First: Xiaohua Author-X-Name-Last: Li Author-Name: Yang Liu Author-X-Name-First: Yang Author-X-Name-Last: Liu Title: Safe tracking control based on a secure boundary protection method for nonlinear systems with unknown initial tracking condition Abstract: Aiming to the sudden change of the system actual output constraint, a novel safe tracking control strategy is investigated for a class of non-strict feedback nonlinear systems with unknown initial tracking condition in this paper. A secure boundary protection method (SBPM) based on prescribed performance and a new prescribed finite-time performance function (PFTPF) are proposed. The SBPM can automatically construct two adjustable secure boundaries, so that the system output meets both the control performance prescribed by the PFTPF and the secure boundary constraint. In order to solve the problem of the excessive control input jitter caused by the sudden change of output constraint, a bidirectional filtering smoothing mechanism (BFSM) is proposed. The proposed SBPM can effectively ensure the safe tracking control of the system with unknown initial tracking condition when the actual output constraint changes suddenly, and ensure that the system has the prescribed finite-time control performance given by the PFTPF. Differently from the existing works, the system output will be strictly constrained into the actual output constraint without the prediction for the system output value. Finally, the effectiveness of this proposed method is verified by simulations. Journal: International Journal of Systems Science Pages: 1655-1672 Issue: 8 Volume: 55 Year: 2024 Month: 06 X-DOI: 10.1080/00207721.2024.2315222 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2315222 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:8:p:1655-1672 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2313653_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Yi Chang Author-X-Name-First: Yi Author-X-Name-Last: Chang Author-Name: Zhiguang Feng Author-X-Name-First: Zhiguang Author-X-Name-Last: Feng Author-Name: Xun Zhang Author-X-Name-First: Xun Author-X-Name-Last: Zhang Title: Backstepping-based adaptive fuzzy tracking control for pure-feedback nonlinear multi-agent systems Abstract: This work developed an adaptive fuzzy tracking control strategy for pure-feedback nonlinear multi-agent systems via backstepping. The relevant unknown functions are addressed by fuzzy logic systems (FLSs), which take into account entirely unknown nonlinearities. The non-affine pure-feedback form is dealt with a Butterworth low-pass filter (BLF), and the converted systems can be used to construct a controller. The implementation of the first-order sliding-mode differentiator overcomes the difficulty of calculation explosion. The backstepping method is applied to design the virtual controller step by step, and the actual controller is designed successfully. Furthermore, through Lyapunov stability theory, the stability of systems is ensured, and that the tracking error is kept to a minimum. Finally, the simulation result shows the validity of the designed control strategy. Journal: International Journal of Systems Science Pages: 1584-1595 Issue: 8 Volume: 55 Year: 2024 Month: 06 X-DOI: 10.1080/00207721.2024.2313653 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2313653 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:8:p:1584-1595 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2317354_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Jun Yan Author-X-Name-First: Jun Author-X-Name-Last: Yan Author-Name: Junhong Li Author-X-Name-First: Junhong Author-X-Name-Last: Li Author-Name: Guixiang Bai Author-X-Name-First: Guixiang Author-X-Name-Last: Bai Author-Name: Tiancheng Zong Author-X-Name-First: Tiancheng Author-X-Name-Last: Zong Title: Identification of nonlinear system with time delay based on wavelet packet decomposition and Gaussian kernel GMDH network Abstract: This article addresses the identification problem of the input nonlinear closed-loop system with unknown time delay (INCTD). An identification algorithm of the INCTD system which combines the wavelet packet decomposition (WPD), the variance Gaussian kernel function (VGKF) and the grouped method of data handling (GMDH) network is proposed. The data collected by the sensor is decomposed into intrinsic mode function with different nonlinear characteristics using WPD. The GMDH network is applied to mine bidirectional strong nonlinear relationship between input and output data. The VGKF criterion selects the optimal complexity model to enhance the extrapolation performance, and further improves the identification accuracy. Thus, the WPD-GMDH-VGKF identification algorithm is derived. The numerical simulation result verifies that the WPD-GMDH-VGKF identification method can effectively identify the INCTD system, and it is superior to GMDH and WPD-GMDH in terms of identification accuracy. The application case verifies the feasibility of applying the WPD-GMDH-VGKF identification method to the battery management system (BMS). Journal: International Journal of Systems Science Pages: 1737-1753 Issue: 8 Volume: 55 Year: 2024 Month: 06 X-DOI: 10.1080/00207721.2024.2317354 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2317354 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:8:p:1737-1753 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2317352_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Sh. Karami Author-X-Name-First: Sh. Author-X-Name-Last: Karami Author-Name: A. Fakharzadeh Jahromi Author-X-Name-First: A. Fakharzadeh Author-X-Name-Last: Jahromi Author-Name: M. H. Heydari Author-X-Name-First: M. H. Author-X-Name-Last: Heydari Title: A cardinal-based numerical method for fractional optimal control problems with Caputo–Katugampola fractional derivative in a large domain Abstract: In this paper, the piecewise Chebyshev cardinal functions (PCCFs) are handled to design a highly accurate direct method to solve a category of fractional optimal control problems (FOCPs) involving the Caputo–Katugampola fractional derivative (as a generalisation of the Caputo derivative) in a large domain. These cardinal functions have many useful features, such as cardinality, exponential accuracy and orthogonality. Notice that the exponential accuracy makes it possible to obtain an approximate solution with very high accuracy for the problem under consideration by applying only a small number of basis functions. In this regard, first, the ordinary and fractional integral matrices of the PCCFs are obtained to construct a direct method using them. Then, the constructed approach turns to solve the FOCP under consideration into deriving the solution of an algebraic system (by the aid of approximating the state and control variables based on the PCCFs). To show the validity of the established technique some illustrative examples are provided. Journal: International Journal of Systems Science Pages: 1719-1736 Issue: 8 Volume: 55 Year: 2024 Month: 06 X-DOI: 10.1080/00207721.2024.2317352 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2317352 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:8:p:1719-1736 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2312881_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Juan Juan Peng Author-X-Name-First: Juan Juan Author-X-Name-Last: Peng Author-Name: Xin Ge Chen Author-X-Name-First: Xin Ge Author-X-Name-Last: Chen Author-Name: Hao Tan Author-X-Name-First: Hao Author-X-Name-Last: Tan Author-Name: Jing Yi Sun Author-X-Name-First: Jing Yi Author-X-Name-Last: Sun Author-Name: Qing Qi Long Author-X-Name-First: Qing Qi Author-X-Name-Last: Long Author-Name: Luo Luo Jiang Author-X-Name-First: Luo Luo Author-X-Name-Last: Jiang Title: A heterogeneous picture fuzzy SWARA-MARCOS evaluation framework based on a novel cross-entropy measure Abstract: Multi-criteria decision-making (MCDM) entails a heterogeneous decision-making problem, which poses challenges for decision-makers (DMs) in generating an optimal solution. To address this, we have proposed a heterogeneous evaluation framework. First, a novel picture fuzzy cross-entropy measure was defined with the simultaneous consideration of uncertainty and hesitancy of picture fuzzy information, overcoming the shortcomings of the existing cross-entropy measure in relation to its validity and properties. Next, an optimisation-model for determining the objective weights of criteria was constructed based on the proposed closeness measurement and the step-wise weight assessment ratio analysis (SWARA) method. This model was constituted from both objective and subjective perspectives under the circumstance of completely unknown criterion information. Additionally, the conventional Measurement of Alternatives and Ranking according to Compromise Solution (MARCOS) method was extended to the picture fuzzy environment, and a normalisation method was developed to transform heterogeneous judgments, including linguistic terms, interval numbers, and picture fuzzy numbers, into a unified representation form. A heterogeneous picture fuzzy SWARA-MARCOS evaluation framework was then established and used to solve a military equipment supplier selection problem. The results demonstrated the validity and feasibility of the proposed evaluation framework, while sensitivity, comparative, and complexity analyses demonstrated the robustness and superiority of it. Journal: International Journal of Systems Science Pages: 1528-1552 Issue: 8 Volume: 55 Year: 2024 Month: 06 X-DOI: 10.1080/00207721.2024.2312881 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2312881 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:8:p:1528-1552 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2309316_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Nguyen Huu Sau Author-X-Name-First: Nguyen Author-X-Name-Last: Huu Sau Author-Name: Mai Viet Thuan Author-X-Name-First: Mai Viet Author-X-Name-Last: Thuan Author-Name: Nguyen Thi Phuong Author-X-Name-First: Nguyen Thi Author-X-Name-Last: Phuong Title: Exponential stability for discrete-time impulsive positive singular system with time delays Abstract: This paper investigates the impulsive stability analysis issues of discrete-time positive singular systems with time delay. First, the paper addresses the positivity problem of the system by providing sufficient conditions. Next, a new method based on state transformations is presented to derive a new delay-dependent criterion for the exponential stability of impulsive positive singular systems. Finally, the effectiveness of the proposed conditions is validated through three numerical examples. Journal: International Journal of Systems Science Pages: 1510-1527 Issue: 8 Volume: 55 Year: 2024 Month: 06 X-DOI: 10.1080/00207721.2024.2309316 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2309316 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:8:p:1510-1527 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2316253_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Xin Li Author-X-Name-First: Xin Author-X-Name-Last: Li Author-Name: Qingyuan Qi Author-X-Name-First: Qingyuan Author-X-Name-Last: Qi Author-Name: Xinbei Lv Author-X-Name-First: Xinbei Author-X-Name-Last: Lv Title: Open-loop and closed-loop local and remote stochastic nonzero-sum game with inconsistent information structure Abstract: In this paper, the open-loop and closed-loop local and remote stochastic nonzero-sum game (LRSNG) problem is investigated. Different from previous works, the stochastic nonzero-sum game problem under consideration is essentially a special class of two-person nonzero-sum game problem, in which the information sets accessed by the two players are inconsistent. More specifically, both the local player and the remote player are involved in the system dynamics, and the information sets obtained by the two players are different, and each player is designed to minimise its own cost function. For the considered LRSNG problem, both the open-loop and closed-loop Nash equilibrium are derived. The contributions of this paper are given as follows. Firstly, the open-loop optimal Nash equilibrium is derived, which is determined in terms of the solution to the forward and backward stochastic difference equations (FBSDEs). Furthermore, by using the orthogonal decomposition method and the completing square method, the feedback representation of the optimal Nash equilibrium is derived for the first time. Finally, the effectiveness of our results is verified by a numerical example. Journal: International Journal of Systems Science Pages: 1693-1708 Issue: 8 Volume: 55 Year: 2024 Month: 06 X-DOI: 10.1080/00207721.2024.2316253 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2316253 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:8:p:1693-1708 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2324131_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Hongzheng Quan Author-X-Name-First: Hongzheng Author-X-Name-Last: Quan Author-Name: Tianliang Zhang Author-X-Name-First: Tianliang Author-X-Name-Last: Zhang Author-Name: Xiao Yan Author-X-Name-First: Xiao Author-X-Name-Last: Yan Author-Name: Fujin Jia Author-X-Name-First: Fujin Author-X-Name-Last: Jia Title: Reliable finite-frequency H∞ control for switched systems with actuator faults and mode-dependent average dwell time Abstract: This paper deals with the reliable finite-frequency $ H_{\infty } $ H∞ control problem for switched systems with actuator faults and mode-dependent average dwell time (MDADT). The objective of designing reliable controllers is to guarantee the stability and robustness of the closed-loop system in the case of actuator faults. The actuator fault is solved using the convex combination method. A finite-frequency $ H_{\infty } $ H∞ performance index is first defined in the frequency domain, and then a finite-frequency performance condition is derived by the generalised Kalman-Yakubovi $ \breve{c} $ c˘-Popov (GKYP) lemma. Combined with the MDADT approach and linear matrix inequality technology, a sufficient condition for the existence of a set of reliable finite-frequency $ H_{\infty } $ H∞ controllers is derived. As a comparison, a sufficient condition is also given for the existence of a set of standard finite-frequency $ H_{\infty } $ H∞ controllers. Finally, the effectiveness and feasibility of the proposed method are verified using a tilt-rotor aircraft. In addition, simulations and comparisons show that the designed reliable controller can stabilise the system even if actuator faults occur. Journal: International Journal of Systems Science Pages: 1907-1923 Issue: 9 Volume: 55 Year: 2024 Month: 07 X-DOI: 10.1080/00207721.2024.2324131 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2324131 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:9:p:1907-1923 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2322068_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Junyan Yu Author-X-Name-First: Junyan Author-X-Name-Last: Yu Author-Name: Ting Wei Author-X-Name-First: Ting Author-X-Name-Last: Wei Title: Bipartite consensus tracking of second-order fractional-order multi-agent systems on directed signed graphs Abstract: This paper studies the bipartite consensus tracking problems of fractional-order multi-agent systems on directed signed graphs. Each agent is modelled as a second-order fractional-order dynamics with the order belonging to $ (0,1] $ (0,1], and the cooperative and competitive interactions between the agents coexist in the systems. Two distributed bipartite consensus tracking protocols are proposed for the systems based on continuous information and sampled information, respectively. Under the assumption that the directed signed graph is structurally balanced, it is shown that the second-order fractional-order multi-agent systems can achieve the bipartite consensus tracking if the feedback coefficients are chosen appropriately. Finally, several simulations are provided to verify the effectiveness of the theoretical results. Journal: International Journal of Systems Science Pages: 1755-1771 Issue: 9 Volume: 55 Year: 2024 Month: 07 X-DOI: 10.1080/00207721.2024.2322068 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2322068 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:9:p:1755-1771 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2322077_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Zhen Gao Author-X-Name-First: Zhen Author-X-Name-Last: Gao Author-Name: Ning Zhao Author-X-Name-First: Ning Author-X-Name-Last: Zhao Author-Name: Ning Xu Author-X-Name-First: Ning Author-X-Name-Last: Xu Author-Name: Ben Niu Author-X-Name-First: Ben Author-X-Name-Last: Niu Author-Name: Xudong Zhao Author-X-Name-First: Xudong Author-X-Name-Last: Zhao Title: Command filtering event-triggered secure control for nonlinear cyber-physical systems under denial-of-service attacks and input saturation Abstract: For nonlinear cyber-physical systems (CPSs) with input saturation and denial-of-service (DoS) attacks, an adaptive secure control strategy is investigated in this paper. To estimate the unmeasurable states, a novel switched neural network (NN) observer is designed, where two sub-observers can be freely switched from each other. Considering unnecessary packet transmissions, an improved event-triggered mechanism (ETM) is introduced to reduce the communication burden in the controller-to-actuator channel. In addition, in order to simultaneously solve the input saturation and unknown control direction problems, a Nussbaum-type function is introduced to the control design process. Finally, it is proven that all closed-loop signals are the semiglobal uniformly ultimately bounded, and simulation results demonstrate the effectiveness of the proposed secure control scheme. Journal: International Journal of Systems Science Pages: 1851-1867 Issue: 9 Volume: 55 Year: 2024 Month: 07 X-DOI: 10.1080/00207721.2024.2322077 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2322077 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:9:p:1851-1867 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2328073_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Lifan Kang Author-X-Name-First: Lifan Author-X-Name-Last: Kang Author-Name: Zhijian Ji Author-X-Name-First: Zhijian Author-X-Name-Last: Ji Author-Name: Yungang Liu Author-X-Name-First: Yungang Author-X-Name-Last: Liu Author-Name: Chong Lin Author-X-Name-First: Chong Author-X-Name-Last: Lin Title: consensus of stochastic multi-agent systems with time-delay and Markov jump Abstract: In this paper, the $ H_{\infty } $ H∞ consensus problem of stochastic nonlinear multi-agent systems with time-delay, Markov jump and $ (x, u, v) $ (x,u,v)-dependent noises is studied. Firstly, the $ H_{\infty } $ H∞ consensus problem is transformed into a standard $ H_{\infty } $ H∞ control problem by model transformation. Then, a dynamic output feedback control protocol is constructed by solving a set of linear matrix inequalities to ensure that the closed-loop system achieves the mean square consensus and meets the specified $ H_{\infty } $ H∞ performance level. After that, both delay-independent and delay-dependent stochastic bounded real lemmas are established by taking advantage of the Lyapunov–Krasovskii function method and the generalised It $ \hat {\rm {o}} $ o^ formula. Finally, we illustrate the validity of the developed method with numerical simulations. Journal: International Journal of Systems Science Pages: 1959-1979 Issue: 9 Volume: 55 Year: 2024 Month: 07 X-DOI: 10.1080/00207721.2024.2328073 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2328073 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:9:p:1959-1979 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2322696_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Zhiwen Fu Author-X-Name-First: Zhiwen Author-X-Name-Last: Fu Author-Name: Shiguo Peng Author-X-Name-First: Shiguo Author-X-Name-Last: Peng Title: Stability analysis of nonlinear systems with delayed impulses: a generalised average dwell-time scheme Abstract: This paper studies the input-to-state stability (ISS) and uniform stability for impulsive nonlinear systems with delayed impulses, where delays are flexible between two consecutive impulsive instants. Illustrating effects caused by delays, concepts of generalised average impulsive delay and generalised reverse average impulsive delay are introduced, and more applicable in practice. Moreover, sufficient conditions for stability properties are formulated with destabilising and stabilising impulses through a general candidate ISS-Lyapunov function and the generalised conditions. It is shown that the double effects of delays in impulses (i.e. stabilising an initial unstable system, or contrarily, destabilising an initial stable system) coincide with the existing results using the exponential candidate ISS-Lyapunov function. Finally, two examples are provided to demonstrate our developed techniques. Journal: International Journal of Systems Science Pages: 1882-1894 Issue: 9 Volume: 55 Year: 2024 Month: 07 X-DOI: 10.1080/00207721.2024.2322696 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2322696 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:9:p:1882-1894 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2321369_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: G. Bengochea Author-X-Name-First: G. Author-X-Name-Last: Bengochea Author-Name: M. Ortigueira Author-X-Name-First: M. Author-X-Name-Last: Ortigueira Author-Name: L. Verde-Star Author-X-Name-First: L. Author-X-Name-Last: Verde-Star Title: The causal α-exponential and the solution of fractional linear time-invariant systems Abstract: Closed-form expressions for the impulse and step responses of commensurable linear time-invariant systems are deduced and exemplified. The algorithm is based on obtaining the solution in terms of the α-exponential monomials that generate a vector space containing the solutions of such systems. Several examples are considered, together with the numerical aspects involved in calculating the related series, which show the accuracy and effectiveness of the approach. Journal: International Journal of Systems Science Pages: 1790-1806 Issue: 9 Volume: 55 Year: 2024 Month: 07 X-DOI: 10.1080/00207721.2024.2321369 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2321369 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:9:p:1790-1806 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2328057_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Islam A. Aly Author-X-Name-First: Islam A. Author-X-Name-Last: Aly Author-Name: Atahan Kurttisi Author-X-Name-First: Atahan Author-X-Name-Last: Kurttisi Author-Name: K. Merve Dogan Author-X-Name-First: K. Author-X-Name-Last: Merve Dogan Title: Resilient coordination of multi-agent systems in the presence of unknown heterogeneous actuation efficiency and coupled dynamics: distributed approaches Abstract: To guarantee the stability and performance of an overall heterogeneous multi-agent system, feedback control structures must be capable of addressing the presence of heterogeneous agent-based nonlinear uncertainties, unknown actuation performance, and coupling effects. Additionally, some tasks require agents to track the leader's state and reach different states in a distributed way. Therefore, this paper proposes a distributed adaptive controller that drives a set of agents to user-assigned positions in the presence of the mentioned heterogeneous system anomalies. To address actuator dynamics, a hedging-based reference model is used to decouple adaptive updating from the actuator dynamics. To deal with the coupled dynamics, an observer-based estimation algorithm is proposed. Finally, the low-frequency learning method is used to deal with the high-frequency control response and, therefore, to obtain a better transient performance. The overall closed-loop system's stability is investigated using the Lyapunov Stability Theory, and the Linear Matrix Inequalities (LMI) technique is employed to identify stability limits regarding the actuator bandwidths of each agent. Illustrative numerical examples are presented to demonstrate the designed controller's performance in a heterogeneous uncertain multi-agent system's dynamics with unknown actuation capabilities and coupled dynamics. Journal: International Journal of Systems Science Pages: 1924-1946 Issue: 9 Volume: 55 Year: 2024 Month: 07 X-DOI: 10.1080/00207721.2024.2328057 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2328057 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:9:p:1924-1946 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2322088_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Wenzhi Cui Author-X-Name-First: Wenzhi Author-X-Name-Last: Cui Author-Name: Puzhao Li Author-X-Name-First: Puzhao Author-X-Name-Last: Li Author-Name: Ronghu Chi Author-X-Name-First: Ronghu Author-X-Name-Last: Chi Title: Data-driven predictive ILC for nonlinear nonaffine systems Abstract: This paper proposes a data-driven predictive iterative learning control (DDPILC) for nonlinear nonaffine systems. First, we develop an iterative predictive model (IPM) where an iterative dynamic linearisation technique is introduced for addressing the strong nonlinearities and nonaffine structure. Then, an auto-regressive model is employed to estimate the unavailable parameter of IPM along with the iteration direction. Next, the outputs in the future iterations are predicted pointwisely over the finite operation interval that are further incorporated into the optimal objective function to obtain the optimal control input sequence. In addition, a constrained-DDPILC is extended for systems with I/O constraints which are reformulated as a linear matrix inequality (LMI). The two proposed methods do not have model requirement except for I/O data. Simulation study verifies the results. Journal: International Journal of Systems Science Pages: 1868-1881 Issue: 9 Volume: 55 Year: 2024 Month: 07 X-DOI: 10.1080/00207721.2024.2322088 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2322088 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:9:p:1868-1881 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2321371_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Xiaoyu Xu Author-X-Name-First: Xiaoyu Author-X-Name-Last: Xu Author-Name: Yungang Liu Author-X-Name-First: Yungang Author-X-Name-Last: Liu Title: Adaptive consensus with limited information for uncertain nonlinear multi-agent systems Abstract: This paper investigates the adaptive consensus with limited information for a class of uncertain nonlinear multi-agent systems (MASs). The limited information, meaning the incomplete information transmitted between agents, stems from nonzero-kernel weight matrices of communication networks, which deserves concerns owing to its practical interest such as in privacy preserving and information compression. Apart from the limited/incomplete information, the paper considers nonlinear MASs with large uncertainties (without known upper bounds). This is essentially different from the existing results of linear systems and poses challenges for the design and analysis of adaptive consensus. As for fully distributed protocol design, dynamic high gains are introduced to compensate for the system uncertainties and for the unavailable global graph information. In closed-loop consensus analysis, a new Lyapunov function is constructed by utilising weight and incidence matrices instead of Laplacian matrix. It turns out that the designed protocol can guarantee the boundedness of closed-loop MASs signals and the convergent consensus. Two numerical examples are given to demonstrate the effectiveness of the proposed control scheme. Journal: International Journal of Systems Science Pages: 1820-1834 Issue: 9 Volume: 55 Year: 2024 Month: 07 X-DOI: 10.1080/00207721.2024.2321371 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2321371 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:9:p:1820-1834 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2317357_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Ariany Carolina de Oliveira Author-X-Name-First: Ariany Carolina Author-X-Name-Last: de Oliveira Author-Name: Víctor C. S. Campos Author-X-Name-First: Víctor C. S. Author-X-Name-Last: Campos Author-Name: Leonardo A. Mozelli Author-X-Name-First: Leonardo A. Author-X-Name-Last: Mozelli Title: Model reference output feedback tracking for nonlinear systems via LMIs Abstract: This work addresses the tracking problem for nonlinear systems with unmeasured variables. We offer a new design methodology that is composed of a two-degrees-of-freedom scheme. The reference model must track a time-varying signal, and the controller employed can be regarded as one-degree-of-freedom. Then, based on the error between the outputs of the reference model and the plant, another controller is designed to ensure that this mismatch converges to zero. The reference model and the system are described as Takagi–Sugeno (TS) fuzzy models with nonlinear consequents (N-TS), which allows for separating measured from unmeasured variables. An advantage of the proposed scheme is that the controller for the reference model can be carried out using several methodologies from the literature, whereas the controller that governs the output error can be static or dynamic, whose design is based on Linear Matrix Inequalities (LMIs). Two examples are used to illustrate the validity of the developed control methodology and to compare it to another recent approach in the literature. Journal: International Journal of Systems Science Pages: 1772-1789 Issue: 9 Volume: 55 Year: 2024 Month: 07 X-DOI: 10.1080/00207721.2024.2317357 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2317357 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:9:p:1772-1789 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2323635_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Ziqin Zhou Author-X-Name-First: Ziqin Author-X-Name-Last: Zhou Author-Name: Yude Xia Author-X-Name-First: Yude Author-X-Name-Last: Xia Author-Name: Jingxin Huang Author-X-Name-First: Jingxin Author-X-Name-Last: Huang Author-Name: Xiangze Lin Author-X-Name-First: Xiangze Author-X-Name-Last: Lin Title: Finite-time boundedness of switched linear systems via periodically intermittent control Abstract: This paper focuses on finite-time boundedness problem of switched linear systems under periodically intermittent control. Sufficient conditions are established to guarantee finite-time boundedness or finite-time stability of switched linear systems under periodically intermittent control. The proof procedures are implemented successfully resorting to piecewise Lyapunov functions. Based on the linear matrix inequality technique, the conditions are casted into a convex optimisation problem and therefore, they can be efficiently handled. The method proposed in this paper is a much potentially useful one in practice because of its economical and efficient nature that is easy to employ. Finally, two examples are given to express the validity and efficiency of the proposed methods. Journal: International Journal of Systems Science Pages: 1895-1906 Issue: 9 Volume: 55 Year: 2024 Month: 07 X-DOI: 10.1080/00207721.2024.2323635 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2323635 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:9:p:1895-1906 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2328071_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Fu-Zheng Xiao Author-X-Name-First: Fu-Zheng Author-X-Name-Last: Xiao Author-Name: Li-Qun Chen Author-X-Name-First: Li-Qun Author-X-Name-Last: Chen Title: Saturated adaptive control for high-order fully actuated systems with an extended state Abstract: The present study focuses on controller design for high-order fully actuated systems that experience input saturation and are affected by bounded disturbances, such as nonlinear uncertainties and time-varying unknown parameters. A saturated adaptive controller is developed via the fully actuated system approach and the Lyapunov stability theory to achieve output control and reject disturbances. The disturbances are treated as an extended state and then estimated by introducing an extended state observer. An adaptive variable is used to handle the estimation error between the actual and estimated values of the disturbances. An auxiliary system is designed to mitigate the saturation effect. Lyapunov's direct method verifies that the estimation error, the tracking error, the adaptive state, and the auxiliary system state will eventually stabilise within a bounded ellipsoid. An illustration of spacecraft attitude control demonstrates the effectiveness of the proposed controller. Journal: International Journal of Systems Science Pages: 1947-1958 Issue: 9 Volume: 55 Year: 2024 Month: 07 X-DOI: 10.1080/00207721.2024.2328071 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2328071 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:9:p:1947-1958 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2321370_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Hosein Ranjbarpur Author-X-Name-First: Hosein Author-X-Name-Last: Ranjbarpur Author-Name: Hajar Atrianfar Author-X-Name-First: Hajar Author-X-Name-Last: Atrianfar Author-Name: Mohammad Bagher Menhaj Author-X-Name-First: Mohammad Author-X-Name-Last: Bagher Menhaj Title: LQR controller design for affine LPV systems using reinforcement learning Abstract: In this paper, a data-driven sub-optimal state feedback is designed for a continuous time linear parameter varying (LPV) system using reinforcement learning. Time-varying parameters lie in a poly top and the system matrix has an affine representation for the parameters. Two novels, on-policy and off-policy algorithms, are proposed using available data from vertex systems of polytop to minimise a performance index and admit a common Lyapunov function (CLF). A convex optimisation problem is derived for each iteration based on Lyapunov inequality. Algorithms yield stabilising feedback gain in each iteration and convergence to a common lyapunov function. We demonstrate the efficacy of the proposed method by simulation of two case studies. Journal: International Journal of Systems Science Pages: 1807-1819 Issue: 9 Volume: 55 Year: 2024 Month: 07 X-DOI: 10.1080/00207721.2024.2321370 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2321370 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:9:p:1807-1819 Template-Type: ReDIF-Article 1.0 # input file: TSYS_A_2321378_J.xml processed with: repec_from_jats12.xsl darts-xml-transformations-20240209T083504 git hash: db97ba8e3a Author-Name: Do Duc Thuan Author-X-Name-First: Do Duc Author-X-Name-Last: Thuan Author-Name: Nguyen Hong Son Author-X-Name-First: Nguyen Hong Author-X-Name-Last: Son Title: Stability of stochastic differential-algebraic equations with delay Abstract: The aim of this paper is to study solvability and stability of stochastic differential-algebraic equations (SDAEs) with delay. It is difficult to investigate these properties for SDAEs with delay because of the singularity of the leading coefficient matrix. An index-ν concept is derived for solvability of these equations. Stability of SDAEs with delay is studied by using the method of Lyapunov functions and comparison principle. An example is given to illustrate the results. To the best of our knowledge, these results are novel for SDAEs with delay. Journal: International Journal of Systems Science Pages: 1835-1850 Issue: 9 Volume: 55 Year: 2024 Month: 07 X-DOI: 10.1080/00207721.2024.2321378 File-URL: http://hdl.handle.net/10.1080/00207721.2024.2321378 File-Format: text/html File-Restriction: Access to full text is restricted to subscribers. Handle: RePEc:taf:tsysxx:v:55:y:2024:i:9:p:1835-1850