H∞ Control of Discrete-Time Switched Ito Stochastic Systems Via Dynamic Output Feedback

被引:0
作者
Wu, Ligang [1 ]
Ho, Daniel W. C. [2 ]
机构
[1] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China
[2] City Univ Hong Kong, Dept Math, Kowloon, Peoples R China
来源
2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC) | 2011年
基金
中国国家自然科学基金; 黑龙江省自然科学基金;
关键词
STABILIZATION; DELAY; STABILITY;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper is concerned with the H-infinity dynamic output feedback (DOF) control problem for discrete-time switched Ito stochastic hybrid systems. By applying the average dwell time method and the piecewise Lyapunov function technique, a sufficient condition is first proposed, which guarantees the closed-loop switched stochastic system to be mean-square exponentially stable with a weighted H-infinity performance. Then the solvability condition for the H-infinity DOF control is also established, by which the DOF controller can be found by solving a set of linear matrix inequalities (LMIs).
引用
收藏
页码:1848 / 1853
页数:6
相关论文
共 12 条
  • [1] DeCarlo R., 1997, IEEE T AUTOMAT CONTR, V42, P1171
  • [2] Stability and stabilization of discrete time switched systems
    Geromel, JC
    Colaneri, P
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2006, 79 (07) : 719 - 728
  • [3] Hespanha J. P., 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P2655, DOI 10.1109/CDC.1999.831330
  • [4] Robust Stability and Stabilization of a Class of Nonlinear Switched Discrete-Time Systems with Time-Varying Delays
    Mahmoud, M. S.
    Xia, Y.
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2009, 143 (02) : 329 - 355
  • [5] Sliding mode control for Ito stochastic systems with Markovian switching
    Niu, Yugang
    Ho, Daniel W. C.
    Wang, Xingyu
    [J]. AUTOMATICA, 2007, 43 (10) : 1784 - 1790
  • [6] On Nonlinear H∞ Filtering for Discrete-Time Stochastic Systems With Missing Measurements
    Shen, Bo
    Wang, Zidong
    Shu, Huisheng
    Wei, Guoliang
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (09) : 2170 - 2180
  • [7] Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay
    Shi, P
    Boukas, EK
    Agarwal, RK
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (11) : 2139 - 2144
  • [8] Stability and L2-gain analysis for switched delay systems:: A delay-dependent method
    Sun, Xi-Ming
    Zhao, Jun
    Hill, David J.
    [J]. AUTOMATICA, 2006, 42 (10) : 1769 - 1774
  • [9] On stabilization of bilinear uncertain time-delay stochastic systems with Markovian jumping parameters
    Wang, ZD
    Qiao, H
    Burnham, KJ
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (04) : 640 - 646
  • [10] Stabilisation and performance synthesis for switched stochastic systems
    Wu, L.
    Ho, D. W. C.
    Li, C. W.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (10) : 1877 - 1888