Delay-dependent robust stability of uncertain discrete singular time-delay systems

被引:0
|
作者
Ji, Xiaofu [1 ]
Su, Hongye [1 ]
Chu, Jian [1 ]
机构
[1] Inst Adv Proc Control, Natl Key Lab Ind Control Technol, Hangzhou 310027, Peoples R China
关键词
singular time-delay system; uncertain discrete system; delay-dependent; robust stability; linear matrix inequality(LMI);
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 deals with the problem of delay-dependent robust stability of a class of uncertain discrete singular time-delay systems. The considered systems are subject to norm-bounded parameter uncertainties and constant time delay. A new approach is introduced to take the relationship between the fast and slow subsystems of a discrete singular time-delay system, based on which, a strict linear matrix inequality (LMI) criterion is obtained for a discrete singular time-delay system to be regular, causal and stable. The result on robust stability of uncertain discrete singular time-delay systems is also obtained and expressed in terms of LMIs. Numerical examples are given to demonstrate the applicability of the proposed method.
引用
收藏
页码:3843 / +
页数:2
相关论文
共 50 条
  • [1] Delay-dependent robust stability of uncertain discrete singular time-delay systems
    Yang, Chengzhong
    Xue, Anke
    Lu, Renquan
    [J]. WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, : 1348 - +
  • [2] Delay-dependent robust stability and stabilization for uncertain time-delay discrete singular systems
    Ma, Shuping
    Cheng, Zhaolin
    [J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 278 - 283
  • [3] Delay-dependent robust stability of uncertain discrete singular time-delay systems with nonlinear disturbance
    Renquan Lu
    Anke Xue
    Hongye Su
    Xiaofu Ji
    Jian Chu
    [J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2006, 13 : 1380 - 1384
  • [4] Delay-dependent robust stability criterion and robust stabilization for uncertain singular time-delay systems
    Zhu, SQ
    Cheng, ZL
    Feng, J
    [J]. ACC: PROCEEDINGS OF THE 2005 AMERICAN CONTROL CONFERENCE, VOLS 1-7, 2005, : 2839 - 2844
  • [5] Delay-dependent robust control for uncertain singular time-delay systems
    Su, Hongye
    Ji, Xiaofu
    Chu, Jian
    [J]. ASIAN JOURNAL OF CONTROL, 2006, 8 (02) : 180 - 189
  • [6] Delay-dependent robust stabilizability for uncertain discrete time-delay systems
    Xu, Hui
    Su, Hongye
    Xiao, Lingfei
    Chu, Jian
    [J]. WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, : 2239 - 2243
  • [7] Delay-dependent Robust H∞ Control for Uncertain Discrete Singular Linear Time-delay Systems
    Ji Xiaofu
    Gao Jinfeng
    [J]. 2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 2239 - 2245
  • [8] Delay-dependent stability and H∞ control for uncertain discrete switched singular systems with time-delay
    Ma, Shuping
    Zhang, Chenghui
    Wu, Zhen
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (01) : 413 - 424
  • [9] Delay-dependent robust stability criteria for two classes of uncertain singular time-delay systems
    Zhu, Shuqian
    Zhang, Chenghui
    Cheng, Zhaolin
    Feng, June
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (05) : 880 - 885
  • [10] Delay-dependent robust stability for a class of uncertain time-delay systems
    Wu, Junfeng
    Lv, Ning
    Dong, Lizhi
    [J]. ISSCAA 2006: 1ST INTERNATIONAL SYMPOSIUM ON SYSTEMS AND CONTROL IN AEROSPACE AND ASTRONAUTICS, VOLS 1AND 2, 2006, : 775 - +