Robust control of T-S fuzzy systems with time-varying delay using new approach

被引：43
|
作者：
Gassara, Hamdi [1 ,2 ]
El Hajjaji, Ahmed [1 ]
Chaabane, Mohamed [2 ]
机构：
[1] Univ Picardie Jules Verne Modelling, Informat & Syst Lab, MIS, F-80000 Amiens, France
[2] Natl Engn School, Dept Elect Engn, Sfax, Tunisia
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2010年 / 20卷 / 14期
关键词：
LMIs: linear matrix inequalities; PDC: parallel distributed compensation; LKF: Lyapunov-Krasovskii functional; T-S: Takagi-Sugeno; GUARANTEED COST CONTROL; H-INFINITY CONTROL; DEPENDENT STABILITY ANALYSIS; NONLINEAR-SYSTEMS; STABILIZATION;
D O I：
10.1002/rnc.1530
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 aims to design a controller to robustly stabilize uncertain nonlinear systems with time-varying delay and norm bounded uncertainties via Takagi-Sugeno (T-S) fuzzy model. The stabilization conditions are given in the form of linear matrix inequalities using a single Lyapunov-Krasovskii functional (LKF) combining the introduction of some relaxation matrices and only one tuning parameter. In comparison with the existing techniques in the literature, the proposed approach has two major advantages. The first is the reduction of computational complexity when the number of IF-THEN rules, r, is big. The second concerns the conservatism reduction. Several examples are given to show the effectiveness and the merits of the design procedure. Copyright (C) 2009 John Wiley & Sons, Ltd.
引用
收藏
页码：1566 / 1578
页数：13
相关论文
共 50 条
  • [21] Delay-dependent robust H∞ control for T-S fuzzy system with interval time-varying delay
    Tian, Engang
    Yue, Dong
    Zhang, Yijun
    [J]. FUZZY SETS AND SYSTEMS, 2009, 160 (12) : 1708 - 1719
  • [22] Robust H∞ control for T-S fuzzy systems with probabilistic interval time varying delay
    Hu, Songlin
    Zhang, Yunning
    Du, Zhaoping
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2012, 6 (03) : 871 - 884
  • [23] Robust Admissibility of Uncertain T-S Fuzzy Singular Systems with Time-Varying Delay: An Input-Output Approach
    El-Jimi, Driss
    Chaibi, Noreddine
    Boumhidi, Ismail
    Charqi, Mohammed
    [J]. JOURNAL OF CONTROL AUTOMATION AND ELECTRICAL SYSTEMS, 2023, 34 (05) : 951 - 962
  • [24] Robust Stability and Stabilization of Uncertain T-S Fuzzy Systems With Time-Varying Delay: An Input-Output Approach
    Zhao, Lin
    Gao, Huijun
    Karimi, Hamid Reza
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2013, 21 (05) : 883 - 897
  • [25] New delay-dependent stability criteria for T-S fuzzy systems with time-varying delay
    Liu, Fang
    Wu, Min
    He, Yong
    Yokoyama, Ryuichi
    [J]. FUZZY SETS AND SYSTEMS, 2010, 161 (15) : 2033 - 2042
  • [26] Robust H a Control of a Class of Switching Nonlinear Systems with Time-Varying Delay Via T-S Fuzzy Model
    Ou, Ou
    Mao, Yanbing
    Zhang, Hongbin
    Zhang, Liangliang
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2014, 33 (05) : 1411 - 1437
  • [27] Robust fast adaptive fault estimation and tolerant control for T-S fuzzy systems with interval time-varying delay
    Li, Hui
    You, Fuqiang
    Wang, Fuli
    Guan, Shouping
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2017, 48 (08) : 1708 - 1730
  • [28] Quadratically convex combination approach to stability of T-S fuzzy systems with time-varying delay
    Yang, Feisheng
    Guan, Sho-Aping
    Wang, Dianhui
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (07): : 3752 - 3765
  • [29] A New Approach to Stability Analysis and Stabilization of Discrete-Time T-S Fuzzy Time-Varying Delay Systems
    Wu, Ligang
    Su, Xiaojie
    Shi, Peng
    Qiu, Jianbin
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2011, 41 (01): : 273 - 286
  • [30] Filtering with Dissipativity for T-S Fuzzy Systems with Time-varying Delay: Reciprocally Convex Approach
    Su, Xiaojie
    Shi, Peng
    Wu, Ligang
    Karimi, Hamid Reza
    [J]. 2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2013, : 7060 - 7064
12345