A new approach to robust H_∞ control for stochastic system with interval time delay
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- 英文论文题名：A new approach to robust H_∞ control for stochastic system with interval time delay
- 论文作者：Yakun Su ; Wenshu Xu
- 英文论文作者：Yakun Su ; Wenshu Xu ; College of Mathematics and Physics ; Bohai University
- 年：2017
- 作者机构：College of Mathematics and Physics, Bohai University;
- 英文论文关键词：H∞ control ; Stochastic system ; Interval time-delay ; Stability ; Linear Matrix Inequality(LMI)
- 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：TP13
- 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：197k
- 原文格式：D
- 会议级别：全国
摘要
This paper studies the problem of robust H∞ control for uncertain stochastic system with time-varying delay.The time delay is assumed to be of interval type. By constructing a new stochastic Lyapunov-Krasovskii functional, It ?o's formula and introducing free weighting matrix, sufficient conditions for delay-dependent robust H∞ control is obtained.The presented formulation is in the framework of linear matrix inequality and thus can be carried out conveniently.Finally, one numerical example is given to illustrate the effectiveness of the proposed approach.
This paper studies the problem of robust H_∞ control for uncertain stochastic system with time-varying delay.The time delay is assumed to be of interval type. By constructing a new stochastic Lyapunov-Krasovskii functional, It ?o's formula and introducing free weighting matrix, sufficient conditions for delay-dependent robust H_∞ control is obtained.The presented formulation is in the framework of linear matrix inequality and thus can be carried out conveniently.Finally, one numerical example is given to illustrate the effectiveness of the proposed approach.
This paper studies the problem of robust H_∞ control for uncertain stochastic system with time-varying delay.The time delay is assumed to be of interval type. By constructing a new stochastic Lyapunov-Krasovskii functional, It ?o's formula and introducing free weighting matrix, sufficient conditions for delay-dependent robust H_∞ control is obtained.The presented formulation is in the framework of linear matrix inequality and thus can be carried out conveniently.Finally, one numerical example is given to illustrate the effectiveness of the proposed approach.
引文
[1]Su X,Shi P,Wu L,et al.Induced I2 filtering of fuzzy stochastic systems with time-varying delays[J].Cybernetics,IEEE Transactions on,Vol.43,1251-1264,2013.
[2]Lian J,Feng Z,Shi P.Robust H∞filtering for a class of uncertain stochastic hybrid neutral systems with time-varying delay[J].International Journal of Adaptive Control and Signal Processing,Vol.227,462-477,2013.
[3]Liu M,Cao X,Shi P.Fault estimation and tolerant control for fuzzy stochastic systems[J].Fuzzy Systems,IEEE Transactions on,Vol.21,221-2297,2013.
[4]Lian J,Mu C,Shi P.Asynchronous H∞ filtering for switched stochastic systems with time-varying delay[J].Information Sciences,Vol.224,200-2127,2013.
[5]Su X,Wu L,Shi P,et al.A novel approach to output feedback control of fuzzy stochastic systems[J].Automatica,Vol.50,3268-32757,2014.
[6]Wang H,Chen B,Liu X,et al.Robust adaptive fuzzy tracking control for pure-feedback stochastic nonlinear systems with input constraints[J].Cybernetics,IEEE Transactions on,Vol.43,2093-2104,2013.
[7]W.Chen,Z.Guan,X.Lu,Delay-dependent exponential stability of uncertain stochastic systems with multiple delays:an LMI approach.Syst.Control Lett,Vol.54,547-555,2005.
[8]S.Xu,T.Chen,Robust H∞control for uncertain stochastic systems with state delay,IEEE Trans.Autom.Control,Vol.47,2089-2094,2002.
[9]V.Dragan,The linear quadratic optimization problem for a class of singularly perturbed stochastic systems.Int.J.Innov.Comput.Inf.Control,Vol.1,53-63,2005.
[10]G.Wei,Z.Wang,H.Shu,Nonlinear H∞control of stochastic time-delay systems with Markovian switching.Chaos Solitons Fractals,Vol.35,442-451,2008.
[2]Lian J,Feng Z,Shi P.Robust H∞filtering for a class of uncertain stochastic hybrid neutral systems with time-varying delay[J].International Journal of Adaptive Control and Signal Processing,Vol.227,462-477,2013.
[3]Liu M,Cao X,Shi P.Fault estimation and tolerant control for fuzzy stochastic systems[J].Fuzzy Systems,IEEE Transactions on,Vol.21,221-2297,2013.
[4]Lian J,Mu C,Shi P.Asynchronous H∞ filtering for switched stochastic systems with time-varying delay[J].Information Sciences,Vol.224,200-2127,2013.
[5]Su X,Wu L,Shi P,et al.A novel approach to output feedback control of fuzzy stochastic systems[J].Automatica,Vol.50,3268-32757,2014.
[6]Wang H,Chen B,Liu X,et al.Robust adaptive fuzzy tracking control for pure-feedback stochastic nonlinear systems with input constraints[J].Cybernetics,IEEE Transactions on,Vol.43,2093-2104,2013.
[7]W.Chen,Z.Guan,X.Lu,Delay-dependent exponential stability of uncertain stochastic systems with multiple delays:an LMI approach.Syst.Control Lett,Vol.54,547-555,2005.
[8]S.Xu,T.Chen,Robust H∞control for uncertain stochastic systems with state delay,IEEE Trans.Autom.Control,Vol.47,2089-2094,2002.
[9]V.Dragan,The linear quadratic optimization problem for a class of singularly perturbed stochastic systems.Int.J.Innov.Comput.Inf.Control,Vol.1,53-63,2005.
[10]G.Wei,Z.Wang,H.Shu,Nonlinear H∞control of stochastic time-delay systems with Markovian switching.Chaos Solitons Fractals,Vol.35,442-451,2008.