Quadratically convex combination approach to stability of T-S fuzzy systems with time-varying delay

被引：43
|
作者：
Yang, Feisheng [1 ,2 ]
Guan, Sho-Aping [1 ,2 ]
Wang, Dianhui [3 ]
机构：
[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Liaoning, Peoples R China
[2] State Key Lab Synthet Automat Proc Ind, Shenyang, Peoples R China
[3] La Trobe Univ, Dept Comp Sci & Comp Engn, Bundoora, Vic 3086, Australia
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2014年 / 351卷 / 07期
基金：
中国国家自然科学基金; 国家高技术研究发展计划(863计划);
关键词：
DEPENDENT ROBUST STABILITY; H-INFINITY CONTROL; NETWORKED CONTROL; STABILIZATION; CRITERIA; CONTROLLER; DESIGN;
D O I：
10.1016/j.jfranklin.2013.01.025
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 develops a novel stability analysis method for Takagi-Sugeno (T-S) fuzzy systems with time-varying delay. New delay-dependent stability criteria in terms of linear matrix inequalities for time-varying delayed T-S fuzzy systems are derived by the newly proposed augmented Lyapunov-Krasovski (L-K) functional. This functional contains the cross terms of variables and quadratic terms multiplied by a higher degree scalar function. Different from previous results, our derivation applies the idea of second-order convex combination, and the property of quadratic convex function without resorting to the Jensen's inequality. Two numerical examples are provided to verify the effectiveness of the presented results. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：3752 / 3765
页数：14
相关论文
共 50 条
  • [31] Sampled-Data Stability Criterion for T-S Fuzzy Systems With Time-Varying Delay
    Du, Zhenbin
    Qin, Zhenkun
    Jia, Qiang
    Qu, Zifang
    IEEE ICCSS 2016 - 2016 3RD INTERNATIONAL CONFERENCE ON INFORMATIVE AND CYBERNETICS FOR COMPUTATIONAL SOCIAL SYSTEMS (ICCSS), 2016, : 224 - 228
  • [32] Stability for NCSs with T-S fuzzy systems and interval time-varying
    Lu, Hongqian
    Liu, Xingping
    Wang, Renren
    Chen, Hongwei
    PROCEEDINGS OF THE 30TH CHINESE CONTROL AND DECISION CONFERENCE (2018 CCDC), 2018, : 4303 - 4306
  • [33] Stability analysis for T-S fuzzy systems with interval time-varying delays and nonlinear perturbations
    Li, Li
    Liu, Xiaodong
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (14) : 1622 - 1636
  • [34] Stability Analysis of Discrete T-S Fuzzy Systems with Time-Varying Delay Using an Extended Reciprocally Convex Matrix Inequality
    Chen, Bi-Ying
    Long, Fei
    Zhang, Chuan-Ke
    He, Yong
    Xiao, Hui-Qin
    2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, : 1393 - 1398
  • [35] Robust stability of uncertain T-S fuzzy time-varying systems
    Sun, Yeong-Jeu
    CHAOS SOLITONS & FRACTALS, 2009, 39 (04) : 1588 - 1594
  • [36] Stability Analysis and Stabilization for Discrete-Time Fuzzy Systems With Time-Varying Delay
    Gao, Huijun
    Liu, Xiuming
    Lam, James
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2009, 39 (02): : 306 - 317
  • [37] Improved Delay-Dependent Stability Analysis for Uncertain T-S Fuzzy Systems with Time-Varying Delay
    Zhang, Zejian
    Wang, Dawei
    Gao, Xiao-Zhi
    Cao, Kairui
    2015 12th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD), 2015, : 73 - 77
  • [38] Stability Analysis for T-S Fuzzy Systems with Time-varying Delay via Free-matrix-based Integral Inequality
    Lian, Zhi
    He, Yong
    Zhang, Chuan-Ke
    Wu, Min
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2016, 14 (01) : 21 - 28
  • [39] 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
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2013, 21 (05) : 883 - 897
  • [40] Robust H∞ control for T-S fuzzy systems with time-varying delay
    Gassara, Hamdi
    El Hajjaji, Ahmed
    Chaabane, Mohamed
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2010, 41 (12) : 1481 - 1491
12345