Robust stability of uncertain piecewise-linear systems: LMI approach

被引：0
|
作者：
Abdallah BenAbdallah
Mohamed Ali Hammami
Jalel Kallel
机构：
[1] Institut Supérieur d’Informatique et du Multimédia de Sfax,Département de Mathématiques
[2] Département de Mathématiques,Faculté des Sciences de Sfax
[3] Institut Préparatoire Aux Etudes d’Ingénieurs de Sfax,Département de Mathématiques
来源：
Nonlinear Dynamics | 2011年 / 63卷
关键词：
Robust stability; Piecewise uncertain linear systems; Lyapunov function; Linear matrix inequalities;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we propose sufficient conditions for the robust stability of time-invariant uncertain piecewise-linear systems using homogeneous polynomial Lyapunov functions. The proposed conditions are expressed in terms of linear matrix inequalities, which can be numerically determined. We solve the stabilization of piecewise uncertain linear control systems by using state piecewise-linear feedback. We propose an illustrative example to show the efficiency of the proposed approach.
引用
收藏
页码：183 / 192
页数：9
相关论文
共 50 条
  • [1] Robust stability of uncertain piecewise-linear systems: LMI approach
    BenAbdallah, Abdallah
    Hammami, Mohamed Ali
    Kallel, Jalel
    NONLINEAR DYNAMICS, 2011, 63 (1-2) : 183 - 192
  • [2] An LMI approach to compute robust stability domains for uncertain linear systems
    Ramos, DCW
    Peres, PLD
    PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2001, : 4073 - 4078
  • [3] Stability analysis and H∞ control for uncertain stochastic piecewise-linear systems
    Zhang, H.
    Feng, G.
    Dang, C.
    IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (08): : 1059 - 1069
  • [4] An LMI approach to robust stability of linear delayed systems
    Ni, ML
    Er, MJ
    Chu, YC
    PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 1003 - 1004
  • [5] Controller design and analysis of uncertain piecewise-linear systems
    Feng, G
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2002, 49 (02) : 224 - 232
  • [6] Nonconservative LMI approach to robust stability for systems with uncertain scalar parameters
    Bliman, PA
    PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 305 - 310
  • [7] Robust stability of uncertain polytopic linear time-delay systems with saturating inputs: an LMI approach
    Tarbouriech, S
    Garcia, G
    da Silva, JMG
    COMPUTERS & ELECTRICAL ENGINEERING, 2002, 28 (03) : 157 - 169
  • [8] An LMI condition for the robust stability of uncertain continuous-time linear systems
    Ramos, DCW
    Peres, PLD
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (04) : 675 - 678
  • [9] Robust stability and stabilization of fractional-order linear systems with nonlinear uncertain parameters: An LMI approach
    Xing, Sheng Yan
    Lu, Jun Guo
    CHAOS SOLITONS & FRACTALS, 2009, 42 (02) : 1163 - 1169
  • [10] An LMI approach for robust stability of linear uncertain systems with time-varying multiple state delays
    Su, TJ
    Lu, CY
    Jong, GJ
    PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 1507 - 1508
12345