Guaranteed cost control for uncertain Markovian jump systems with mode-dependent time-delays

被引:167
作者
Chen, WH [1 ]
Xu, JX
Guan, ZH
机构
[1] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Hubei, Peoples R China
[2] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore, Singapore
基金
中国国家自然科学基金;
关键词
guaranteed cost control; jump linear systems; linear matrix inequality (LMI); norm-bounded uncertainty; time-delay systems;
D O I
10.1109/TAC.2003.820165
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 note concerns the robust guaranteed cost control problem for a class of continuous-time Markovian jump linear system with norm-bounded uncertainties and mode-dependent time-delays. The problem is to design a memoryless state feedback control law such that the closed-loop system is stochastically stable and the closed-loop cost function value is not more than a specified upper bound for all admissible uncertainties. Based on linear matrix inequality, delay-dependent sufficient conditions for the existence of such controller are derived by using a descriptor model transformation of the system and by applying Moon's inequality for bounding cross terms. Sufficient conditions which depend on the difference between the largest and the smallest time-delays are also presented. Two numerical examples are given for illustration of the proposed theoretical results.
引用
收藏
页码:2270 / 2277
页数:8
相关论文
共 26 条
  • [1] Boukas E, 1998, INT J ROBUST NONLIN, V8, P1155, DOI 10.1002/(SICI)1099-1239(1998110)8:13<1155::AID-RNC380>3.0.CO
  • [2] 2-F
  • [3] Boukas EK, 2001, P AMER CONTR CONF, P884, DOI 10.1109/ACC.2001.945830
  • [4] Robust H∞ control of discrete-time Markovian jump linear systems with mode-dependent time-delays
    Boukas, EK
    Liu, ZK
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (12) : 1918 - 1924
  • [5] Boukas EK, 2000, P AMER CONTR CONF, P2784, DOI 10.1109/ACC.2000.878718
  • [6] Delay-dependent robust stability and H∞ control of jump linear systems with time-delay
    Boukas, EK
    Liu, ZK
    Liu, GX
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2001, 74 (04) : 329 - 340
  • [7] Cao YY, 2000, IEEE T AUTOMAT CONTR, V45, P77, DOI 10.1109/9.827358
  • [8] STABILITY RESULTS FOR DISCRETE-TIME LINEAR-SYSTEMS WITH MARKOVIAN JUMPING PARAMETERS
    COSTA, OLV
    FRAGOSO, MD
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 179 (01) : 154 - 178
  • [9] LMI approach to suboptimal guaranteed cost control for uncertain time-delay systems
    Esfahani, SH
    Moheimani, SOR
    Petersen, IR
    [J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1998, 145 (06): : 491 - 498
  • [10] A descriptor system approach to H∞ control of linear time-delay systems
    Fridman, E
    Shaked, U
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (02) : 253 - 270