Asynchronous Dissipative Control for a Class of Discrete-time Singular Markov Jump Systems
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- 英文论文题名：Asynchronous Dissipative Control for a Class of Discrete-time Singular Markov Jump Systems
- 论文作者：Xiao Lu ; Jiaqiang Yan ; Haixia Wang
- 英文论文作者：Xiao Lu ; Jiaqiang Yan ; Haixia Wang ; College of Electrical Engineering and Automation ; Shandong University of Science and Technology
- 年：2017
- 作者机构：College of Electrical Engineering and Automation,Shandong University of Science and Technology;
- 英文论文关键词：Dissipative control ; singular Markov jump systems ; asynchronous control ; linear matrix inequality
- 会议召开时间：2017-07-26
- 会议录名称：第36届中国控制会议论文集（A）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
- 语种：英文
- 分类号：O211.62;O231
- 学会代码：KZLL
- 会议名称：第36届中国控制会议
- 会议地点：中国辽宁大连
- 主办单位：中国自动化学会控制理论专业委员会
- 学会名称：中国自动化学会控制理论专业委员会
- 页数：4
- 文件大小：219k
- 原文格式：D
- 会议级别：全国
摘要
This paper is concerned with the asynchronous dissipative control for discrete-time singular Markov jump systems with multiplicative noises. In a real set, noises always exist in the state or output measurement, which may cause some errors and decrease system performance. Without loss of generality, both state and output multiplicative noises are considered in this paper.The singular systems, which could widely describe more general systems and present traits of physical features, are discussed in this paper. Using a Markov chain to model the asynchronous jumps existing in system modes and controller modes. Through a method of LMI, the sufficient conditions are derived and the asynchronous controller is designed to ensure that the singular Markov jump systems are stochastically admissible and strictly dissipative.
This paper is concerned with the asynchronous dissipative control for discrete-time singular Markov jump systems with multiplicative noises. In a real set, noises always exist in the state or output measurement, which may cause some errors and decrease system performance. Without loss of generality, both state and output multiplicative noises are considered in this paper.The singular systems, which could widely describe more general systems and present traits of physical features, are discussed in this paper. Using a Markov chain to model the asynchronous jumps existing in system modes and controller modes. Through a method of LMI, the sufficient conditions are derived and the asynchronous controller is designed to ensure that the singular Markov jump systems are stochastically admissible and strictly dissipative.
This paper is concerned with the asynchronous dissipative control for discrete-time singular Markov jump systems with multiplicative noises. In a real set, noises always exist in the state or output measurement, which may cause some errors and decrease system performance. Without loss of generality, both state and output multiplicative noises are considered in this paper.The singular systems, which could widely describe more general systems and present traits of physical features, are discussed in this paper. Using a Markov chain to model the asynchronous jumps existing in system modes and controller modes. Through a method of LMI, the sufficient conditions are derived and the asynchronous controller is designed to ensure that the singular Markov jump systems are stochastically admissible and strictly dissipative.
引文
[1]P.Bolzern,P.Colaneri,and G.De Nicolao,“Markov jump linear systems with switching transition rates:Mean square stability with dwell-time,”Automatica,vol.46,pp.1081-1088,2010.
[2]Y.Zhu,L.Zhang,and W.Xing Zheng.Distributed H-infinity Filtering for a Class of Discrete-time Markov Jump Lur’e Systems with Redundant Channels,IEEE Transactions on Industrial Electronics,2016,63(3):1876-1885.
[3]P.Bolzern,P.Colaneri,and G.De Nicolao,“stochastically stability of Markov jump linear systems,”Automatica,vol.50,pp.11181-1187,2014.
[4]Y.Zhou and H.Li,”Guaranteed cost control for singular Markovian jump systems with time delay,”Proc.of the Chinese Control and Decision Conference,pp.1971-1975,2010.
[5]L.Zhang,“H∞estimation for discrete-time piecewise homogeneous Markov jump linear systems,”Automatica,vol.45,no.1,pp.2570-2576,2009.
[6]H.Dong,Z.Wang,and H.Gao,“Distributed H∞filtering for a class Markovian jump nonlinear time-delay systems over lossy sensor networks,”IEEE Trans.Ind.Electron,vol.60,no.10,pp.4665-4672,Oct.2013.
[7]W.Chen,R.Jiang,X.Lu,and W.X.Zheng.H-infinity control of linear singular time-delay systems subject to impulsive perturbations,IET Control Theory and Applications,2017,11(3):420-428.
[8]L.Dai,Singular control systems,Lecture Notes Control Information Science,Springer Verlag,Berlin,1989.
[9]J.C.Willems,”Dissipative dynamical systems,part I:General theory,”Arch.Rational Mechanics and Analysis,vol.45,pp.321-351,1972
[10]C.Willems,”Dissipative dynamical systems,part II:Linear systems with quadratic supply rates,”Arch.Rational Mechanics and Analysis,vol.45,pp.352-393,1972.
[11]S.Xie,L.Xie,and C.E.de Souza,Robust dissipative control for linear systems with dissipative uncertainty,International Journal of Control,vol.70,pp.169-191,1998.
[12]H.Shen,Y.Zhu,L.Zhang,and Ju H Park.Extended Dissipative State Estimation for Markov Jump Neural Networks With Unreliable Links,IEEE Transactions on Neural Networks and Learning Systems,2017,28(2),346-358.
[13]X.Dong,Robust strictly dissipative control for discrete singular systems,IET Control Theory Appl.,vol.1,pp.1060-1067,2007.
[14]L.H.Xie.Robust output feedback dissipative control for uncertain nonlinear systems.Proceedings of the Fifth World Congress on Intelligent Control and Automation,vol.1 pp.809-813,2004.
[15]L.Zhang,Y.Zhu,P.Shi,Y.Zhao,Resilient asynchronous H∞filtering for Markov jump neural networks with unideal measurements and multiplicative noises,IEEE Transactions On Cybernetics,vol.45,no.12,pp.2840-2852,2015.
[16]L.Zhang,N.Cui,M.Liu,Y.Zhao,Asynchronous filtering of discrete-time switched linear systems with average dwell time,IEEE Trans.Circuits Syst.I:Regul.Pap.vol.58,pp.1109–1118.2011.
[17]Z.Wu,P.Shi,H.Su,and J.Chu,“Asynchronous l2-l∞filtering for discrete-time stochastic Markov jump systems with randomly occurred sensor nonlinearities,”Automatica,vol.50,no.1,pp.180-186,2014.
[18]Yong Xu,Renquan Lu,Ke-Xia Zhou,Zuxin Li,Nonfragile asynchronous control for fuzzy Markov jump systems with packet dropouts,Neurocomputing,Vol.175,Part A,29 January 2016,Pages 443-449.
[19]Mengshen Chen,Xiaofei Yang,Hao Shen,Fengqi Yao,Finite-time asynchronous H∞control for Markov jump repeated scalar non-linear systems with input constrints,Applied Mathematics and Computation,Vol 275,15 February2016,Pages 172-180.
[20]M.Iosifescu,Finite Markov Processes and Their Applications.Chichester,U.K.Wiley,1980.Applied Mathematics and Computation,Volume 275,15 February 2016,Pages 172-180.
[21]S.Xu and J.Lam.Robust Control and Filtering of Singular Systems.Springer,2006.
[22]S.P.Ma,E.K.Boukas,Stability and H∞control for discrete-time systems subject to actuator saturation,in proceedings of the 2009 American Control Conference,2009,pp.1244-1249.
[2]Y.Zhu,L.Zhang,and W.Xing Zheng.Distributed H-infinity Filtering for a Class of Discrete-time Markov Jump Lur’e Systems with Redundant Channels,IEEE Transactions on Industrial Electronics,2016,63(3):1876-1885.
[3]P.Bolzern,P.Colaneri,and G.De Nicolao,“stochastically stability of Markov jump linear systems,”Automatica,vol.50,pp.11181-1187,2014.
[4]Y.Zhou and H.Li,”Guaranteed cost control for singular Markovian jump systems with time delay,”Proc.of the Chinese Control and Decision Conference,pp.1971-1975,2010.
[5]L.Zhang,“H∞estimation for discrete-time piecewise homogeneous Markov jump linear systems,”Automatica,vol.45,no.1,pp.2570-2576,2009.
[6]H.Dong,Z.Wang,and H.Gao,“Distributed H∞filtering for a class Markovian jump nonlinear time-delay systems over lossy sensor networks,”IEEE Trans.Ind.Electron,vol.60,no.10,pp.4665-4672,Oct.2013.
[7]W.Chen,R.Jiang,X.Lu,and W.X.Zheng.H-infinity control of linear singular time-delay systems subject to impulsive perturbations,IET Control Theory and Applications,2017,11(3):420-428.
[8]L.Dai,Singular control systems,Lecture Notes Control Information Science,Springer Verlag,Berlin,1989.
[9]J.C.Willems,”Dissipative dynamical systems,part I:General theory,”Arch.Rational Mechanics and Analysis,vol.45,pp.321-351,1972
[10]C.Willems,”Dissipative dynamical systems,part II:Linear systems with quadratic supply rates,”Arch.Rational Mechanics and Analysis,vol.45,pp.352-393,1972.
[11]S.Xie,L.Xie,and C.E.de Souza,Robust dissipative control for linear systems with dissipative uncertainty,International Journal of Control,vol.70,pp.169-191,1998.
[12]H.Shen,Y.Zhu,L.Zhang,and Ju H Park.Extended Dissipative State Estimation for Markov Jump Neural Networks With Unreliable Links,IEEE Transactions on Neural Networks and Learning Systems,2017,28(2),346-358.
[13]X.Dong,Robust strictly dissipative control for discrete singular systems,IET Control Theory Appl.,vol.1,pp.1060-1067,2007.
[14]L.H.Xie.Robust output feedback dissipative control for uncertain nonlinear systems.Proceedings of the Fifth World Congress on Intelligent Control and Automation,vol.1 pp.809-813,2004.
[15]L.Zhang,Y.Zhu,P.Shi,Y.Zhao,Resilient asynchronous H∞filtering for Markov jump neural networks with unideal measurements and multiplicative noises,IEEE Transactions On Cybernetics,vol.45,no.12,pp.2840-2852,2015.
[16]L.Zhang,N.Cui,M.Liu,Y.Zhao,Asynchronous filtering of discrete-time switched linear systems with average dwell time,IEEE Trans.Circuits Syst.I:Regul.Pap.vol.58,pp.1109–1118.2011.
[17]Z.Wu,P.Shi,H.Su,and J.Chu,“Asynchronous l2-l∞filtering for discrete-time stochastic Markov jump systems with randomly occurred sensor nonlinearities,”Automatica,vol.50,no.1,pp.180-186,2014.
[18]Yong Xu,Renquan Lu,Ke-Xia Zhou,Zuxin Li,Nonfragile asynchronous control for fuzzy Markov jump systems with packet dropouts,Neurocomputing,Vol.175,Part A,29 January 2016,Pages 443-449.
[19]Mengshen Chen,Xiaofei Yang,Hao Shen,Fengqi Yao,Finite-time asynchronous H∞control for Markov jump repeated scalar non-linear systems with input constrints,Applied Mathematics and Computation,Vol 275,15 February2016,Pages 172-180.
[20]M.Iosifescu,Finite Markov Processes and Their Applications.Chichester,U.K.Wiley,1980.Applied Mathematics and Computation,Volume 275,15 February 2016,Pages 172-180.
[21]S.Xu and J.Lam.Robust Control and Filtering of Singular Systems.Springer,2006.
[22]S.P.Ma,E.K.Boukas,Stability and H∞control for discrete-time systems subject to actuator saturation,in proceedings of the 2009 American Control Conference,2009,pp.1244-1249.