Robust Control of T-S fuzzy systems with Time-varying delay: New approach.

被引:2
|
作者
Gassara, Hamdi [1 ,2 ]
El Hajjaji, Ahmed [1 ]
Chaabane, Mohamed [2 ]
机构
[1] Univ Picardie Jules Verne, Modeling Informat & Syst Lab, MIS, 7 Rue Moulin Neuf, F-80000 Amiens, France
[2] Univ Sfax, Natl Sch Engn, Dept Elect Engn, Res Unit Automat Control, Sfax, Tunisia
关键词
LMIs: Linear Matrix Inequalities; PDC: Parallel Distributed Compensation; LKF : Lyapunov- Krasovskii Functional; T-S : Takagi-Sugeno; DEPENDENT STABILITY ANALYSIS; GUARANTEED COST CONTROL; H-INFINITY CONTROL; NONLINEAR-SYSTEMS; STABILIZATION;
D O I
10.1109/CDC.2009.5400079
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 gives two great advantages. The first one is the reduction of computational complexity when the number of IF-THEN rules, r, is big. The second one concerns the conservatism reduction. An example is given to show the effectiveness and the merits of the design procedure.
引用
下载
收藏
页码:4168 / 4173
页数:6
相关论文
共 50 条
  • [31] Robust Fault Estimation for a Class of T-S Fuzzy Singular Systems with Time-Varying Delay via Improved Delay Partitioning Approach
    Sun, Chao
    Wang, FuLi
    He, XiQin
    JOURNAL OF CONTROL SCIENCE AND ENGINEERING, 2016, 2016
  • [32] Reachable Set Estimation of T-S Fuzzy Systems With Time-Varying Delay
    Feng, Zhiguang
    Zheng, Wei Xing
    Wu, Ligang
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2017, 25 (04) : 878 - 891
  • [33] New stability conditions for uncertain T-S fuzzy systems with interval time-varying delay
    Jiyao An
    Tao Li
    Guilin Wen
    Renfa Li
    International Journal of Control, Automation and Systems, 2012, 10 : 490 - 497
  • [34] A New Design of Delay-Dependent Robust H∞ Filtering for Discrete-Time T-S Fuzzy Systems With Time-Varying Delay
    Qiu, Jianbin
    Feng, Gang
    Yang, Jie
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2009, 17 (05) : 1044 - 1058
  • [35] New Stability Conditions for Uncertain T-S Fuzzy Systems with Interval Time-Varying Delay
    An, Jiyao
    Li, Tao
    Wen, Guilin
    Li, Renfa
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2012, 10 (03) : 490 - 497
  • [36] Improved stability criteria for T-S fuzzy systems with time-varying delay by delay-partitioning approach
    Jun Yang
    Wen-Pin Luo
    Yong-Hu Wang
    Chun-Sheng Duan
    International Journal of Control, Automation and Systems, 2015, 13 : 1521 - 1529
  • [37] Improved Stability Criteria for T-S fuzzy Systems with Time-varying Delay by Delay-partitioning Approach
    Yang, Jun
    Luo, Wen-Pin
    Wang, Yong-Hu
    Duan, Chun-Sheng
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2015, 13 (06) : 1521 - 1529
  • [38] Improved delay-dependent robust stabilization conditions of uncertain T-S fuzzy systems with time-varying delay
    Peng, Chen
    Tian, Yu-Chu
    Tian, Engang
    FUZZY SETS AND SYSTEMS, 2008, 159 (20) : 2713 - 2729
  • [39] On Delay-dependent Robust Stability Criteria for Uncertain T-S Fuzzy Systems with Interval Time-varying Delay
    Peng, Chen
    Wen, Li-Yan
    Yang, Ji-Quan
    INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2011, 13 (01) : 35 - 44
  • [40] ROBUST H∞ CONTROL FOR T-S TIME-VARYING DELAY SYSTEMS WITH NORM BOUNDED UNCERTAINTY BASED ON LMI APPROACH
    Huang, H. L.
    Shi, F. G.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2009, 6 (01): : 1 - 14