Robust H∞ Control of Uncertain Linear Systems with Multiple State Delays—LMI Approach

被引:1
|
作者
程储旺
孙优贤
汤兵勇
机构
关键词
uncertain system; robust control; H∞; control; time delay; LMl approach;
D O I
10.19884/j.1672-5220.1998.03.011
中图分类号
O231.1 [线性控制系统];
学科分类号
070105 ; 0711 ; 071101 ; 0811 ; 081101 ;
摘要
This paper deals with the problem of robust H∞ control for uncertain systems with multiple state delays. The parameter uncertainties are unknown but norm - bounded. An LMI based method is developed for robust H∞ stabilization for a class of uncertain systems with multiple state delays via linear memoryless state feedback control. The resuits depend on the size of the delays and are given in terms of linear matrix inequalities, so they are less con. servative than those of delay - independent.
引用
收藏
页码:46 / 49
页数:4
相关论文
共 50 条
  • [41] A Delay-Dependent Approach to Robust H∞ Control for Uncertain Stochastic Systems with State and Input Delays
    Hongyi Li
    Bing Chen
    Qi Zhou
    Chong Lin
    Circuits, Systems & Signal Processing, 2009, 28 : 169 - 183
  • [42] A Delay-Dependent Approach to Robust H∞ Control for Uncertain Stochastic Systems with State and Input Delays
    Li, Hongyi
    Chen, Bing
    Zhou, Qi
    Lin, Chong
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2009, 28 (01) : 169 - 183
  • [43] A Delay-Dependent Approach to Robust H∞ Control for Uncertain Stochastic Systems with State and Input Delays
    Hongyi Li
    Bing Chen
    Qi Zhou
    Chong Lin
    Circuits, Systems & Signal Processing, 2009, 28 : 793 - 793
  • [44] The robust controller for uncertain linear systems with multiple time delays based on state observer
    Yang, Zhanmin
    2007 IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION, VOLS 1-7, 2007, : 1057 - 1061
  • [45] Robust H∞ controller designs for linear uncertain discrete-time systems:: the LMI approach
    Zhang, ZJ
    Cao, JY
    Lu, GP
    2004 8TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION, VOLS 1-3, 2004, : 1157 - 1162
  • [46] Robust stability of uncertain piecewise-linear systems: LMI approach
    BenAbdallah, Abdallah
    Hammami, Mohamed Ali
    Kallel, Jalel
    NONLINEAR DYNAMICS, 2011, 63 (1-2) : 183 - 192
  • [47] Robust stability of uncertain piecewise-linear systems: LMI approach
    Abdallah BenAbdallah
    Mohamed Ali Hammami
    Jalel Kallel
    Nonlinear Dynamics, 2011, 63 : 183 - 192
  • [48] An LMI approach to compute robust stability domains for uncertain linear systems
    Ramos, DCW
    Peres, PLD
    PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2001, : 4073 - 4078
  • [49] Guaranteed cost control of discrete linear uncertain systems with multiple state delays
    Gao Cun-chen
    Kao Yong-gui
    Proceedings of 2005 Chinese Control and Decision Conference, Vols 1 and 2, 2005, : 93 - 95
  • [50] Robust stability of uncertain linear systems with multiple time delays
    Fang, Y.
    Proceedings of the Institution of Mechanical Engineers. Part I, Journal of systems and control engineering, 1997, 211 (13) : 195 - 202