IMPROVED ROBUST STABILITY CRITERIA FOR UNCERTAIN SYSTEMS WITH TIME-VARYING DELAY

被引：21
|
作者：
Qian, Wei [1 ]
Wang, Lei [2 ]
Sun, Youxian [3 ]
机构：
[1] Henan Polytech Univ, Sch Elect Engn & Automat, Jiaozuo 454000, Henan, Peoples R China
[2] Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China
[3] Zhejiang Univ, State Key Lab Ind Control Technol, Hangzhou 310027, Zhejiang, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2011年 / 13卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Delayed systems; robust stability; time-varying delay; uncertainty; linear matrix inequality; H-INFINITY CONTROL; DEPENDENT STABILITY; NEUTRAL SYSTEMS; LINEAR-SYSTEMS; STABILIZATION; DISCRETE; STATE;
D O I：
10.1002/asjc.405
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 delay-dependent stability and robust stability for uncertain systems with time-varying delay. Through constructing an appropriate type of Lyapunov-Krasovskii functional and proving its positive definiteness, using slack matrices and a convex combination condition, the delay-dependent stability criteria, which are less conservative, are derived in terms of linear matrix inequalities. Numerical examples are also given to illustrate the improvement on the conservatism of the delay bound over some existing results.
引用
收藏
页码：1043 / 1050
页数：8
相关论文
共 50 条
  • [1] Novel robust stability criteria for uncertain systems with time-varying delay
    Qian, Wei
    Cong, Shen
    Sun, Youxian
    Fei, Shumin
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (02) : 866 - 872
  • [2] On Improved Delay-dependent Robust Stability Criteria for Uncertain Systems with Interval Time-varying Delay
    Jun-Jun Hui
    He-Xin Zhang
    Xiang-Yu Kong
    Xin Zhou
    [J]. Machine Intelligence Research, 2015, 12 (01) : 102 - 108
  • [3] On improved delay-dependent robust stability criteria for uncertain systems with interval time-varying delay
    Hui J.-J.
    Zhang H.-X.
    Kong X.-Y.
    Zhou X.
    [J]. International Journal of Automation and Computing, 2015, 12 (1) : 102 - 108
  • [4] Improved delay-dependent robust stability criteria for uncertain systems with interval time-varying delay
    Peng, C.
    Tian, Y. -C
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2008, 2 (09): : 752 - 761
  • [5] Improved Stability Criteria for Uncertain Neutral Systems with Time-varying Delay
    Qian Wei
    Wang Shaohua
    Liu Juan
    [J]. PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 863 - 867
  • [6] Robust stability criteria for uncertain linear systems with interval time-varying delay
    Ramakrishnan K.
    Ray G.
    [J]. Journal of Control Theory and Applications, 2011, 9 (4): : 559 - 566
  • [7] Robust Stability Criteria for Uncertain Neutral Systems with Interval Time-Varying Delay
    K. Ramakrishnan
    G. Ray
    [J]. Journal of Optimization Theory and Applications, 2011, 149 : 366 - 384
  • [8] Robust stability criteria for uncertain linear systems with interval time-varying delay
    Krishnan RAMAKRISHNAN
    Goshaidas RAY
    [J]. Control Theory and Technology, 2011, 9 (04) : 559 - 566
  • [9] Robust Stability Criteria for Uncertain Neutral Systems with Interval Time-Varying Delay
    Ramakrishnan, K.
    Ray, G.
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 149 (02) : 366 - 384
  • [10] Improved stability criteria for uncertain linear systems with interval time-varying delay
    Min Zheng
    Wei Xiao
    Qinghai Chen
    [J]. Journal of Systems Science and Complexity, 2013, 26 : 175 - 186
12345