H_∞ Filtering for a Class of Singular Stochastic Time-delay Systems
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- 英文论文题名：H_∞ Filtering for a Class of Singular Stochastic Time-delay Systems
- 论文作者：Feng Zhao ; Guochen Pang
- 英文论文作者：Feng Zhao ; Guochen Pang ; School of Mechanical and Vehicle Engineering ; Linyi University
- 年：2017
- 作者机构：School of Mechanical and Vehicle Engineering,Linyi University;
- 英文论文关键词：singular stochastic systems ; H∞ filtering ; linear matrix inequalities
- 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（B）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（B）
- 语种：英文
- 分类号：O211.6;TN713
- 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：218k
- 原文格式：D
- 会议级别：全国
摘要
This paper is concerned with the H_∞ filtering problem for a class of singular stochastic time-delay systems. The purpose is the design of a delay-independent filter such that the resulting error system is regular, impulse-free and mean-square stable. Sufficient conditions for solvability of this problem are formulated in terms of a set of linear matrix inequalities(LMIs),and stability theory of stochastic differential equations. Based on these conditions, the delay-independent filter can be constructed. Finally, a simulation example is given to illustrate the effectiveness of the theoretical results.
This paper is concerned with the H_∞ filtering problem for a class of singular stochastic time-delay systems. The purpose is the design of a delay-independent filter such that the resulting error system is regular, impulse-free and mean-square stable. Sufficient conditions for solvability of this problem are formulated in terms of a set of linear matrix inequalities(LMIs),and stability theory of stochastic differential equations. Based on these conditions, the delay-independent filter can be constructed. Finally, a simulation example is given to illustrate the effectiveness of the theoretical results.
This paper is concerned with the H_∞ filtering problem for a class of singular stochastic time-delay systems. The purpose is the design of a delay-independent filter such that the resulting error system is regular, impulse-free and mean-square stable. Sufficient conditions for solvability of this problem are formulated in terms of a set of linear matrix inequalities(LMIs),and stability theory of stochastic differential equations. Based on these conditions, the delay-independent filter can be constructed. Finally, a simulation example is given to illustrate the effectiveness of the theoretical results.
引文
[1]R.Q.Lu,Y.Yu,A.K.Xue,H∞filtering for singular systems with communication delays,Signal processing,1240-1248,2010.
[2]M.Liu,J.You,X.C.Ma,H∞filtering for sampled-data stochastic systems with limited capacity channel,Signal processing,1826-1837,2011.
[3]M.Abbaszadeh,H.J.Marquez,A generalized framework for robust nonlinear H∞filtering of Lipschitz descriptor systems with parametric and nonlinear uncertainties,Automatica,894-900,2012.
[4]S.Y.Xu,T.W.Chen,Robust H∞filtering for uncertain stochastic time-delay systems,Asian Journal of control,364-373,2003.
[5]H.J.Gao,J.Lam,C.H.Wang,Robust energy-peak filter design for stochastic time-delay systems,Systems and control letters,101-111,2006.
[6]Y.Chen,A.K.Xue,S.S.Zhou,New delay-dependent L2-L∞filter design for stochastic time-delay systems,Signal processing,974-980,2009.
[7]D.F.Coutinho,C.E.d.Souza,K.A.Barbosa,Robust H∞filter for a class of discretr-time parameter varying systems.Automatica,2946-2954,2009.
[8]M.Liu,N.W.C.Ho,Stabilization of Markovian jump linear system over networks with random communication delay,Automatica,416-421,2009.
[9]P.Shi,Y.Xia,On designing of sliding-mode control for stochastic jump systems,IEEE Transactions on Automatic Control,97-103,2006.
[10]J.W.Xia,Robust H-infinity filter design for uncertain timedelay singular stochastic systems with Markovian jump,Journal of control theory and applications,331-335,2007.
[11]X.W.Meng,W.Jiang,Robust H-infinity filtering for uncertain singular stochastic systems with Markovian switching and delays,Mathematica applicata,438-446,2012.
[12]S.Y.Xu,J.Lam,Robust control and filtering of singular systems,Springer-Verlag Berlin Heidelberg,2006.
[13]X.X.Liao,X.Mao,Exponential stability of stochastic delay interval systems.Systems and control letters,171-181,2000.
[14]X.R.Mao,N.Koroleva,and A.Rodkina,Robust stability of uncertain stochastic differential delay equations,Systems&Control Letters 35,325-336,1998.
[2]M.Liu,J.You,X.C.Ma,H∞filtering for sampled-data stochastic systems with limited capacity channel,Signal processing,1826-1837,2011.
[3]M.Abbaszadeh,H.J.Marquez,A generalized framework for robust nonlinear H∞filtering of Lipschitz descriptor systems with parametric and nonlinear uncertainties,Automatica,894-900,2012.
[4]S.Y.Xu,T.W.Chen,Robust H∞filtering for uncertain stochastic time-delay systems,Asian Journal of control,364-373,2003.
[5]H.J.Gao,J.Lam,C.H.Wang,Robust energy-peak filter design for stochastic time-delay systems,Systems and control letters,101-111,2006.
[6]Y.Chen,A.K.Xue,S.S.Zhou,New delay-dependent L2-L∞filter design for stochastic time-delay systems,Signal processing,974-980,2009.
[7]D.F.Coutinho,C.E.d.Souza,K.A.Barbosa,Robust H∞filter for a class of discretr-time parameter varying systems.Automatica,2946-2954,2009.
[8]M.Liu,N.W.C.Ho,Stabilization of Markovian jump linear system over networks with random communication delay,Automatica,416-421,2009.
[9]P.Shi,Y.Xia,On designing of sliding-mode control for stochastic jump systems,IEEE Transactions on Automatic Control,97-103,2006.
[10]J.W.Xia,Robust H-infinity filter design for uncertain timedelay singular stochastic systems with Markovian jump,Journal of control theory and applications,331-335,2007.
[11]X.W.Meng,W.Jiang,Robust H-infinity filtering for uncertain singular stochastic systems with Markovian switching and delays,Mathematica applicata,438-446,2012.
[12]S.Y.Xu,J.Lam,Robust control and filtering of singular systems,Springer-Verlag Berlin Heidelberg,2006.
[13]X.X.Liao,X.Mao,Exponential stability of stochastic delay interval systems.Systems and control letters,171-181,2000.
[14]X.R.Mao,N.Koroleva,and A.Rodkina,Robust stability of uncertain stochastic differential delay equations,Systems&Control Letters 35,325-336,1998.