Estimation of stability regions for continuous-time systems with actuator saturation via homogeneous parameter-dependent quadratic Lyapunov functions
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- 英文论文题名：Estimation of stability regions for continuous-time systems with actuator saturation via homogeneous parameter-dependent quadratic Lyapunov functions
- 论文作者：Zhong Xiang ; Wang Zenggui ; Guochen Pang
- 英文论文作者：Zhong Xiang ; Wang Zenggui ; Guochen Pang ; School of mathematical science ; Liaocheng University ; College of Mechanical Engineering ; Linyi University
- 年：2017
- 作者机构：School of mathematical science, Liaocheng University;College of Mechanical Engineering, Linyi University;
- 英文论文关键词：Actuator saturation ; Invariant set ; Domain of attraction ; Linear matrix inequality(LMI) ; Homogeneous parameter-dependent quadratic Lyapunov functions(HPD-QLF)
- 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：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：6
- 文件大小：211k
- 原文格式：D
- 会议级别：全国
摘要
This paper deals with the stability regions for continuous-time systems with actuator saturation via homogeneous parameter-dependent quadratic Lyapunov functions(HPD-QLF). Using the homogeneous parameter-dependent quadratic Lyapunov functions, a new method about estimation of stability regions is obtained. Through formulating the problem as LMIs optimization problem, the new method can get less conservative results than those existing ones.Numerical examples illustrate the effectiveness of our method.
This paper deals with the stability regions for continuous-time systems with actuator saturation via homogeneous parameter-dependent quadratic Lyapunov functions(HPD-QLF). Using the homogeneous parameter-dependent quadratic Lyapunov functions, a new method about estimation of stability regions is obtained. Through formulating the problem as LMIs optimization problem, the new method can get less conservative results than those existing ones.Numerical examples illustrate the effectiveness of our method.
This paper deals with the stability regions for continuous-time systems with actuator saturation via homogeneous parameter-dependent quadratic Lyapunov functions(HPD-QLF). Using the homogeneous parameter-dependent quadratic Lyapunov functions, a new method about estimation of stability regions is obtained. Through formulating the problem as LMIs optimization problem, the new method can get less conservative results than those existing ones.Numerical examples illustrate the effectiveness of our method.
引文
[1]G.Chesi,A.Tesi,A.Garulli,A.Vicino,Homogneous Polynomial Forms for Robustness Analysis of Uncertain Systems,Berlin Heidelberg:Springer-Verlag,2009.
[2]T.Hu,Z.Lin,Ben M.Chen,An analysis and design method for linear systems subject to actuator saturation and disturbance.Automatica,Vol.38,No.2,351-359,2002.
[3]T.Shi,H.Su,J.Chu,Stability analysis for continuous-time systems with actuator saturation,Journal of Control Theory and Applications,Vol.7,No.4,352-358,2009.
[4]S.Ma,EL-Kébir Boukas,Stability and H∞control for discrete-time singular systems subject to actuator saturation,Proceedings of the 2009 American Control Conference,St.Louis,1244-1249,june 2009.
[5]Y.Cao,Z.Lin,stability analysis of discrete-time systems with actuator saturation by a saturation-dependent lyapunov function,Automatica,Vol.39,No.7,1235-1241,2003.
[6]Y.Cao,Z.,T.Hu,Stability analysis of linear time-delay systems subject to input saturation,IEEE Transactions on Circuits and Systems I:Fundamental Theory and Applications,Vol.49,No.2,233-240,2002.
[7]T.Hu,Z.Lin,B.M.Chen,Analysis and design for discretetime linear systems subject to actuator saturation,Systems&Control Letters,Vol.45,No.2,97-112,2002.
[8]T.Hu,Z.Lin,Exact characterization of invariant ellipsoids for single input linear systems subject to actuator saturatio,IEEE Transactions on Automatic Control,Vol.47,No.1,164-169,2002.
[9]Y.Cao,Z.Lin,Y.Shamash,Set invariance analysis and gainscheduling control for LPV systems subject to actuator saturation,Systems&Control Letters,Vol.46,No.2,137-151,2002.
[10]T.Hu,Z.Lin,Composite quadratic Lyapunov functions for constrained control systems,IEEE Transactions on Automatic Control,Vol.48,No.3,440-450,2003.
[11]G.Chesi,A.Garulli,A.Tesi,A.Vicino,Polynomially parameter-dependent Lyapunov functions for robust stability of polytopic systems:an LMI approach,IEEE Trans.on Automatic Control,Vol.50,No.3,365-370,2003.
[12]G.Chesi,Establishing tightness in robust H-infinity analysis via homogeneous parameter-dependent Lyapunov functions,Automatica,Vol.43,No.11,1992-1995,2007.
[13]G.Chesi,On the non-conservatism of a novel LMI relaxation for robust analysis of polytopic systems,Automatica,Vol.44,No.11,2973-2976,2007.
[14]P.-A.Bliman,R.C.L.F.Oliveira,V.F.Montagner,P.L.D.Peres,Existence of homogeneous polynomial solutions for parameter-dependent linear matrix inequalities with parameters in the simplex,IEEE Conf.on Decision and Control,San Diego,1486-1491,2006.
[15]R.C.L.F.Oliveira,P.L.D.Peres,Parameter-dependent LMIs in robust analysis:Characterization of homogeneous polynomially parameter-dependent solutions via LMI relaxations,IEEE Trans.on Automatic Control,Vol.52,No.7,1334-1340,2007.
[16]R.C.L.F.Oliveira,M.C.de Oliveira,P.L.D.Peres,Convergent LMI relaxations for robust analysis of uncertain linear systems using lifted polynomial parameter-dependent Lyapunov functions,Systems and Control Letters,Vol.57,No.8,680-689,2008.
[17]G.Chesi,Establishing stability and instability of matrix hypercubes,Systems and Control Letters,Vol.54,No.4,381-388,2005.
[18]G.Chesi,Tightness conditions for semidefinite relaxations of forms minimizations,IEEE Trans.on Circuits and Systems II,Vol.55,No.12,1299-1303,2008.
[2]T.Hu,Z.Lin,Ben M.Chen,An analysis and design method for linear systems subject to actuator saturation and disturbance.Automatica,Vol.38,No.2,351-359,2002.
[3]T.Shi,H.Su,J.Chu,Stability analysis for continuous-time systems with actuator saturation,Journal of Control Theory and Applications,Vol.7,No.4,352-358,2009.
[4]S.Ma,EL-Kébir Boukas,Stability and H∞control for discrete-time singular systems subject to actuator saturation,Proceedings of the 2009 American Control Conference,St.Louis,1244-1249,june 2009.
[5]Y.Cao,Z.Lin,stability analysis of discrete-time systems with actuator saturation by a saturation-dependent lyapunov function,Automatica,Vol.39,No.7,1235-1241,2003.
[6]Y.Cao,Z.,T.Hu,Stability analysis of linear time-delay systems subject to input saturation,IEEE Transactions on Circuits and Systems I:Fundamental Theory and Applications,Vol.49,No.2,233-240,2002.
[7]T.Hu,Z.Lin,B.M.Chen,Analysis and design for discretetime linear systems subject to actuator saturation,Systems&Control Letters,Vol.45,No.2,97-112,2002.
[8]T.Hu,Z.Lin,Exact characterization of invariant ellipsoids for single input linear systems subject to actuator saturatio,IEEE Transactions on Automatic Control,Vol.47,No.1,164-169,2002.
[9]Y.Cao,Z.Lin,Y.Shamash,Set invariance analysis and gainscheduling control for LPV systems subject to actuator saturation,Systems&Control Letters,Vol.46,No.2,137-151,2002.
[10]T.Hu,Z.Lin,Composite quadratic Lyapunov functions for constrained control systems,IEEE Transactions on Automatic Control,Vol.48,No.3,440-450,2003.
[11]G.Chesi,A.Garulli,A.Tesi,A.Vicino,Polynomially parameter-dependent Lyapunov functions for robust stability of polytopic systems:an LMI approach,IEEE Trans.on Automatic Control,Vol.50,No.3,365-370,2003.
[12]G.Chesi,Establishing tightness in robust H-infinity analysis via homogeneous parameter-dependent Lyapunov functions,Automatica,Vol.43,No.11,1992-1995,2007.
[13]G.Chesi,On the non-conservatism of a novel LMI relaxation for robust analysis of polytopic systems,Automatica,Vol.44,No.11,2973-2976,2007.
[14]P.-A.Bliman,R.C.L.F.Oliveira,V.F.Montagner,P.L.D.Peres,Existence of homogeneous polynomial solutions for parameter-dependent linear matrix inequalities with parameters in the simplex,IEEE Conf.on Decision and Control,San Diego,1486-1491,2006.
[15]R.C.L.F.Oliveira,P.L.D.Peres,Parameter-dependent LMIs in robust analysis:Characterization of homogeneous polynomially parameter-dependent solutions via LMI relaxations,IEEE Trans.on Automatic Control,Vol.52,No.7,1334-1340,2007.
[16]R.C.L.F.Oliveira,M.C.de Oliveira,P.L.D.Peres,Convergent LMI relaxations for robust analysis of uncertain linear systems using lifted polynomial parameter-dependent Lyapunov functions,Systems and Control Letters,Vol.57,No.8,680-689,2008.
[17]G.Chesi,Establishing stability and instability of matrix hypercubes,Systems and Control Letters,Vol.54,No.4,381-388,2005.
[18]G.Chesi,Tightness conditions for semidefinite relaxations of forms minimizations,IEEE Trans.on Circuits and Systems II,Vol.55,No.12,1299-1303,2008.