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

被引：44
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
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