A systematic approach to improve multiple Lyapunov function stability and stabilization conditions for fuzzy systems

被引：235
|
作者：
Mozelli, Leonardo A. [1 ]
Palhares, Reinaldo M. [1 ]
Avellar, Gustavo S. C. [1 ]
机构：
[1] Univ Fed Minas Gerais, Dept Elect Engn, BR-31270010 Belo Horizonte, MG, Brazil
来源：
INFORMATION SCIENCES | 2009年 / 179卷 / 08期
关键词：
Takagi-Sugeno (TS) fuzzy systems; Linear matrix inequalities (LMIs); Fuzzy Lyapunov function; Fuzzy control; Stabilization; Stability; H-INFINITY CONTROL; MASTER-SLAVE SYNCHRONIZATION; FEEDBACK CONTROLLER-DESIGN; LMI-BASED DESIGNS; NONLINEAR-SYSTEMS; DYNAMIC-SYSTEMS; QUADRATIC STABILITY; LURE SYSTEMS; ROBUST; REGULATORS;
D O I：
10.1016/j.ins.2008.12.002
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 presents a systematic approach for decreasing conservativeness in stability analysis and control design for Takagi-Sugeno (TS) systems. This approach is based on the idea of multiple Lyapunov functions together with simple techniques for introducing slack matrices. Unlike some previous approaches based on multiple Lyapunov functions, both the stability and the stabilization conditions are written as linear matrix inequality (LMI) problems. The proposed approach reduces the number of inequalities and guarantees extra degrees of freedom to the LMI problems. Numeric examples illustrate the effectiveness of this method. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：1149 / 1162
页数：14
相关论文
共 50 条
  • [31] Conditions for stability and stabilization of systems of neutral type with nonmonotone Lyapunov functionals
    L. B. Knyazhishche
    [J]. Differential Equations, 2016, 52 : 687 - 698
  • [32] Conditions for stability and stabilization of systems of neutral type with nonmonotone Lyapunov functionals
    Knyazhishche, L. B.
    [J]. DIFFERENTIAL EQUATIONS, 2016, 52 (06) : 687 - 698
  • [33] A Multiple Lyapunov Functions Approach for Stability of Switched Systems
    Lu, Jin
    Brown, Lyndon J.
    [J]. 2010 AMERICAN CONTROL CONFERENCE, 2010, : 3253 - 3256
  • [34] A New Fuzzy Lyapunov Function Approach to Stability Analysis and Control Synthesis for Takagi-Sugeno Fuzzy Systems
    Liu, Guojun
    Liu, Xiang
    Zeng, Yangzheng
    [J]. 2013 25TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2013, : 3068 - 3073
  • [35] New Results on Stability of Slowly Switched Systems: A Multiple Discontinuous Lyapunov Function Approach
    Zhao, Xudong
    Shi, Peng
    Yin, Yunfei
    Sing Kiong Nguang
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (07) : 3502 - 3509
  • [36] Relaxed Stabilization Conditions of T-S Fuzzy Systems Using Piecewise Lyapunov Function Based Switching Fuzzy Controller
    Chen, Ying-Jen
    Ohtake, Hiroshi
    Tanaka, Kazuo
    Wang, Wen-June
    Wang, Hua O.
    [J]. 2009 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3, 2009, : 1276 - +
  • [37] Stability of retarded dynamical systems: A Lyapunov function approach
    Xu, BG
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 253 (02) : 590 - 615
  • [38] Less conservative conditions for stabilization of switched TS fuzzy systems using fuzzy Lyapunov functions
    Faria, Flavio A.
    Oliveira, Vilma A.
    Elias, Leandro J.
    Capela, Jorge M. V.
    Tanaka, Julia S.
    [J]. 2018 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2018,
  • [39] Stability and Stabilization of Infinite Delay Systems: A Lyapunov-Based Approach
    Xu, Xiang
    Liu, Lu
    Feng, Gang
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (11) : 4509 - 4524
  • [40] Stabilization of Switched Nonlinear Systems Using Multiple Lyapunov Function Method
    Wang, Min
    Feng, Jiaxin
    Dimirovski, Georgi M.
    Zhao, Jun
    [J]. 2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, : 1778 - +
12345