ROBUST FINITE-TIME STABILITY AND STABILIZATION OF LINEAR UNCERTAIN TIME-DELAY SYSTEMS

被引：25
|
作者：
Stojanovic, Sreten B. [1 ]
Debeljkovic, Dragutin Lj. [2 ]
Antic, Dragan S. [3 ]
机构：
[1] Univ Nis, Fac Technol, Dept Math & Engn Sci, Leskovac 16000, Serbia
[2] Univ Belgrade, Fac Mech Engn, Dept Control Engn, Belgrade 11120, Serbia
[3] Univ Nis, Fac Elect Engn, Dept Control Engn, Nish 18000, Serbia
来源：
ASIAN JOURNAL OF CONTROL | 2013年 / 15卷 / 05期
关键词：
Uncertain systems; time-delay; LMIs; finite-time stability; finite-time stabilization; cone complementarity linearization algorithm; BOUNDEDNESS ANALYSIS; PRACTICAL STABILITY; NEURAL-NETWORKS;
D O I：
10.1002/asjc.689
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Robust finite-time stability and stabilization problems for a class of linear uncertain time-delay systems are studied. The concept of finite-time stability is extended to linear uncertain time-delay systems. Based on the Lyapunov method and properties of matrix inequalities, a sufficient condition that ensures finite-time stability of linear uncertain time-delay systems is given. By virtue of the results on finite-time stability, a memoryless state feedback controller that guarantees that the closed-loop system is finite time stable, is proposed. The controller design problem is solved by using the linear matrix inequalities and the cone complementarity linearization iterative algorithm. Numerical examples verify the efficiency of the proposed methods.
引用
收藏
页码：1548 / 1554
页数：7
相关论文
共 50 条
  • [31] Finite-time stability of switched nonlinear time-delay systems
    Wang, Zhichuang
    Sun, Jian
    Chen, Jie
    Bai, Yongqiang
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2020, 30 (07) : 2906 - 2919
  • [32] Local Finite-Time Stability for a Class of Time-Delay Systems
    Li, Xiaodi
    He, Xinyi
    Yang, Dan
    Moulay, Emmanuel
    Hui, Qing
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2024, 69 (07) : 4781 - 4785
  • [33] Robust finite-time stabilization of uncertain nonlinear systems based on partial stability
    Golestani, Mehdi
    Mohammadzaman, Iman
    Yazdanpanah, Mohammad Javad
    [J]. NONLINEAR DYNAMICS, 2016, 85 (01) : 87 - 96
  • [34] Finite-Time Stabilization for Singular Linear Time-delay Systems with Time-varying Exogenous Disturbance
    Su, Min
    Wang, Shuwei
    Zhang, Xian
    [J]. MECHATRONICS AND INTELLIGENT MATERIALS II, PTS 1-6, 2012, 490-495 : 2459 - 2463
  • [35] 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
  • [36] Robust finite-time stabilization of uncertain nonlinear systems based on partial stability
    Mehdi Golestani
    Iman Mohammadzaman
    Mohammad Javad Yazdanpanah
    [J]. Nonlinear Dynamics, 2016, 85 : 87 - 96
  • [37] Robust stability of linear time-delay systems
    Ma Shi-gao
    Yu Jing-bo
    [J]. Proceedings of 2005 Chinese Control and Decision Conference, Vols 1 and 2, 2005, : 260 - +
  • [38] Finite-time stability and boundedness for linear switched singular positive time-delay systems with finite-time unstable subsystems
    Yimnet, Suriyon
    Niamsup, Piyapong
    [J]. SYSTEMS SCIENCE & CONTROL ENGINEERING, 2020, 8 (01) : 541 - 568
  • [39] Finite-time stability and boundedness for linear switched singular positive time-delay systems with finite-time unstable subsystems
    Yimnet, Suriyon
    Niamsup, Piyapong
    [J]. Systems Science and Control Engineering, 2020, 8 (01): : 541 - 568
  • [40] Uncertain quasipolynomials: Robust stability of time-delay systems
    Matusu, Radek
    Prokop, Roman
    Korbel, Jiri
    [J]. ANNALS OF DAAAM FOR 2007 & PROCEEDINGS OF THE 18TH INTERNATIONAL DAAAM SYMPOSIUM: INTELLIGENT MANUFACTURING & AUTOMATION: FOCUS ON CREATIVITY, RESPONSIBILITY, AND ETHICS OF ENGINEERS, 2007, : 443 - 444
12345