Robust exponential stability and stabilization of linear uncertain polytopic time-delay systems

被引：8
|
作者：
Nam P.T. [1 ]
Phat V.N. [2 ]
机构：
[1] Department of Mathematics, Quynhon University, Quynhon, Binhdinh
[2] Institute of Mathematics, Hanoi
来源：
Journal of Control Theory and Applications | 2008年 / 6卷 / 2期
关键词：
Exponential stability; Linear matrix inequalities; Parameter-dependent Lyapunov function; Polytopic time-delay system; Stabilization;
D O I：
10.1007/s11768-008-6104-4
中图分类号：
学科分类号：
摘要：
This paper proposes new sufficient conditions for the exponential stability and stabilization of linear uncertain polytopic time-delay systems. The conditions for exponential stability are expressed in terms of Kharitonov-type linear matrix inequalities (LMIs) and we develop control design methods based on LMIs for solving stabilization problem. Our method consists of a combination of the LMI approach and the use of parameter-dependent Lyapunov functionals, which allows to compute simultaneously the two bounds that characterize the exponential stability rate of the solution. Numerical examples illustrating the conditions are given. © 2008 Editorial Board of Control Theory and Applications, South China University of Technology and Springer-Verlag GmbH.
引用
收藏
页码：163 / 170
页数：7
相关论文
共 50 条
  • [1] Robust exponential stability and stabilization of linear uncertain polytopic time-delay systems
    Nam PHAN T.
    Phat VU N.
    [J]. Control Theory and Technology, 2008, (02) : 163 - 170
  • [2] Exponential stability and stabilization of a class of uncertain linear time-delay systems
    Hien, Le V.
    Phat, Vu N.
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2009, 346 (06): : 611 - 625
  • [3] ROBUST FINITE-TIME STABILITY AND STABILIZATION OF LINEAR UNCERTAIN TIME-DELAY SYSTEMS
    Stojanovic, Sreten B.
    Debeljkovic, Dragutin Lj.
    Antic, Dragan S.
    [J]. ASIAN JOURNAL OF CONTROL, 2013, 15 (05) : 1548 - 1554
  • [4] Robust stability of uncertain polytopic linear time-delay systems with saturating inputs: an LMI approach
    Tarbouriech, S
    Garcia, G
    da Silva, JMG
    [J]. COMPUTERS & ELECTRICAL ENGINEERING, 2002, 28 (03) : 157 - 169
  • [5] ROBUST STABILIZATION OF LINEAR CONSTRAINED UNCERTAIN TIME-DELAY SYSTEMS
    SU, TJ
    KUO, TS
    SUN, YY
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1989, 20 (07) : 1259 - 1265
  • [6] Robust stabilization for linear uncertain time-delay systems with nonlinear perturbation
    Yang, Zhen-Guang
    Wei, Xin-Jiang
    [J]. General System and Control System, Vol I, 2007, : 46 - 49
  • [7] Robust stabilization for linear uncertain time-delay systems with nonlinear perturbation
    Wang Xiu-hong
    Yang Zhen-guang
    Zhang Hui-feng
    Wei Xin-jiang
    [J]. Proceedings of 2005 Chinese Control and Decision Conference, Vols 1 and 2, 2005, : 165 - 168
  • [8] Robust stabilization for linear uncertain time-delay systems with nonlinear perturbation
    Zhang, Huifeng
    Tang, Ruina
    Wei, Xinjiang
    [J]. WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, : 2126 - +
  • [9] Robust Stabilization for Uncertain Saturated Time-Delay Systems: A Distributed-Delay-Dependent Polytopic Approach
    Chen, Yonggang
    Fei, Shumin
    Li, Yongmin
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (07) : 3455 - 3460
  • [10] Stability Analysis and Robust Stabilization of Uncertain Fuzzy Time-Delay Systems
    Chao, Chun-Tang
    Chen, Ding-Horng
    Chiou, Juing-Shian
    [J]. MATHEMATICS, 2021, 9 (19)
12345