Reduced-order H_∞ filter design for singular neutral systems with distributed delay
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- 英文论文题名：Reduced-order H_∞ filter design for singular neutral systems with distributed delay
- 论文作者：Guihua Li ; Yunxu Tong ; Shaodong Chen
- 英文论文作者：Guihua Li ; Yunxu Tong ; Shaodong Chen ; College of Mathematics and Statistics ; Nanyang Institute of Technology
- 年：2017
- 作者机构：College of Mathematics and Statistics,Nanyang Institute of Technology;
- 英文论文关键词：Neutral systems ; Singular systems ; Distributed delay ; Reduced-order H∞ filters
- 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：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：5
- 文件大小：237k
- 原文格式：D
- 会议级别：全国
摘要
The reduced-order H_∞ filtering problem for singular neutral systems with distributed delay is investigated in this paper. The Lyapunov stability theory and linear matrix inequality(LMI) approach are proposed to design a reduced-order H_∞ filter such that the filtering system remains asymptotically stable and the bound of H_∞ norm is less than a given level γ. Moreover, an explicit parametrization of all desired reduced-order filters is presented when these sufficient conditions are feasible. Finally, a numerical example is given to show the feasibility and effectiveness of the method.
The reduced-order H_∞ filtering problem for singular neutral systems with distributed delay is investigated in this paper. The Lyapunov stability theory and linear matrix inequality(LMI) approach are proposed to design a reduced-order H_∞ filter such that the filtering system remains asymptotically stable and the bound of H_∞ norm is less than a given level γ. Moreover, an explicit parametrization of all desired reduced-order filters is presented when these sufficient conditions are feasible. Finally, a numerical example is given to show the feasibility and effectiveness of the method.
The reduced-order H_∞ filtering problem for singular neutral systems with distributed delay is investigated in this paper. The Lyapunov stability theory and linear matrix inequality(LMI) approach are proposed to design a reduced-order H_∞ filter such that the filtering system remains asymptotically stable and the bound of H_∞ norm is less than a given level γ. Moreover, an explicit parametrization of all desired reduced-order filters is presented when these sufficient conditions are feasible. Finally, a numerical example is given to show the feasibility and effectiveness of the method.
引文
[1]K.M.Nagpal,P.P.Khargonekar,Filtering and somoothing in the H_∞ setting,IEEE Trans.Automat.Control,36(2):152-166,1991.
[2]I.Yaesh,U.Shaked,Game theory approach to optimal linear estimation in the minimum H_∞ norm sense,In proc.the 28th IEEE Conference on Decision Control,Tampa,FL,1989:421-425.
[3]J.Hale,S.M.V.Luned,Introduction to Functional Differential Equations,Springer Verlag,New York,1993.
[4]Y.S.Lee,Y.S.Moon,P.G.Park,Delay-dependent robust H_∞ control of uncertain linear systems with time-varying delays,Computers and Mathematics with Applications,50(1):13-32,2005.
[5]Lei Fu,Yuechao Ma,Passive control for singular time-delay system with actuator saturation,Applied Mathematics and Computation,289(10):181-193,2016.
[6]J.Kim,New design method on memoryless H_∞ control for singular systems with delayed state and control using LMI,Journal of the Frankin Institute,342(3):321-327,2005.
[7]Hai Zhang,Wei Jiang,Stability of neutral singular differential systems with multiple time-varying delays,Chinese Journal of Engineering Mathematics,28(2):265-271,2011.
[8]Jinq-Der Chen,Delay-dependent robust H_∞ control of uncertain neutral systems with state and input delays:LMI optimization approach,Chaos,Solitons and Fractals,33(2):595-606,2007.
[9]Jun Yang,Shouming Zhong,Guihua Li,Wenpin Luo,Robust H_∞ filter design for uncertain fuzzy neutral systems,Information Sciences,179(20):3697-3710,2009.
[10]Shiping Wen,Zhigang Zeng,Tingwen Huang,Reliable H_∞ filtering for neutral systems with mixed delays and multiplicative noises,Signal Processing,94(1):23-32,2014.
[11]Juan Gong,Delay-dependent guaranteed cost H_∞ control for singular neutral type system with uncertain and time-varying delays,Journal of Liaoning University of Tehcnology(Natural Science Edition),35(5):336-343,2015.
[12]Yunxu Tong,Baowei Wu,A design of robust H_∞ reducedorder filter for uncertain neutral systems with distributed delay,Journal of Shaanxi Normal University(Natural Science Edition),42(2):1-6,2014.
[13]W.M.Haddad,D.S.Bernstein,The optimal projection equations for reduced-order,discrete-time state estimation for linear systems with multiplicative white noise,Systems and Control Letters,8(4):381-388,1987.
[14]J.L.Rawson,C.S.Hsu,H.Rho,Reduced order H_∞ filters for discrete linear systems,in:Proceedings of the 36th IEEEConference on Decision and Control,San Diego,California,USA,1997:3311-3316.
[15]S.Xu,J.Lam,Reduced-order H_∞ filtering for singular systems,Systems and Control Letters,56(1):48-57,2007.
[16]J.Kim.Reduced-order delay-dependent H_∞ filtering for uncertain discrete-time singular systems with time-varying delay[J].Automatica,47(12):2801-2804,2011.
[17]T.Iwasaki,R.E.Skelton,All controllers for the general H_∞ control problems:LMI existence conditions and state space formulas,Automatica,30(8):1307-1317,1994.
[2]I.Yaesh,U.Shaked,Game theory approach to optimal linear estimation in the minimum H_∞ norm sense,In proc.the 28th IEEE Conference on Decision Control,Tampa,FL,1989:421-425.
[3]J.Hale,S.M.V.Luned,Introduction to Functional Differential Equations,Springer Verlag,New York,1993.
[4]Y.S.Lee,Y.S.Moon,P.G.Park,Delay-dependent robust H_∞ control of uncertain linear systems with time-varying delays,Computers and Mathematics with Applications,50(1):13-32,2005.
[5]Lei Fu,Yuechao Ma,Passive control for singular time-delay system with actuator saturation,Applied Mathematics and Computation,289(10):181-193,2016.
[6]J.Kim,New design method on memoryless H_∞ control for singular systems with delayed state and control using LMI,Journal of the Frankin Institute,342(3):321-327,2005.
[7]Hai Zhang,Wei Jiang,Stability of neutral singular differential systems with multiple time-varying delays,Chinese Journal of Engineering Mathematics,28(2):265-271,2011.
[8]Jinq-Der Chen,Delay-dependent robust H_∞ control of uncertain neutral systems with state and input delays:LMI optimization approach,Chaos,Solitons and Fractals,33(2):595-606,2007.
[9]Jun Yang,Shouming Zhong,Guihua Li,Wenpin Luo,Robust H_∞ filter design for uncertain fuzzy neutral systems,Information Sciences,179(20):3697-3710,2009.
[10]Shiping Wen,Zhigang Zeng,Tingwen Huang,Reliable H_∞ filtering for neutral systems with mixed delays and multiplicative noises,Signal Processing,94(1):23-32,2014.
[11]Juan Gong,Delay-dependent guaranteed cost H_∞ control for singular neutral type system with uncertain and time-varying delays,Journal of Liaoning University of Tehcnology(Natural Science Edition),35(5):336-343,2015.
[12]Yunxu Tong,Baowei Wu,A design of robust H_∞ reducedorder filter for uncertain neutral systems with distributed delay,Journal of Shaanxi Normal University(Natural Science Edition),42(2):1-6,2014.
[13]W.M.Haddad,D.S.Bernstein,The optimal projection equations for reduced-order,discrete-time state estimation for linear systems with multiplicative white noise,Systems and Control Letters,8(4):381-388,1987.
[14]J.L.Rawson,C.S.Hsu,H.Rho,Reduced order H_∞ filters for discrete linear systems,in:Proceedings of the 36th IEEEConference on Decision and Control,San Diego,California,USA,1997:3311-3316.
[15]S.Xu,J.Lam,Reduced-order H_∞ filtering for singular systems,Systems and Control Letters,56(1):48-57,2007.
[16]J.Kim.Reduced-order delay-dependent H_∞ filtering for uncertain discrete-time singular systems with time-varying delay[J].Automatica,47(12):2801-2804,2011.
[17]T.Iwasaki,R.E.Skelton,All controllers for the general H_∞ control problems:LMI existence conditions and state space formulas,Automatica,30(8):1307-1317,1994.