Reducing conservativeness of stabilization conditions for switched TS fuzzy systems

被引:12
|
作者
Jaballi, Ahmed [1 ,2 ]
El Hajjaji, Ahmed [1 ]
Sakly, Anis [2 ]
机构
[1] Univ Picardie Jules Verne, Modelling Informat & Syst Lab MIS, 7 Rue Moulin Neuf, F-80000 Amiens, France
[2] Univ Monastir, Res Unit Ind Syst Study & Renewable Energy ESIER, Av Ibn El Jazzar 5019, Monastir, Tunisia
关键词
Switched TS fuzzy systems; Fuzzy Lyapunov functions; Linear matrix inequalities; Basin of attraction; Switching laws; H-INFINITY CONTROL; ROBUST STABILIZATION; STABILITY ANALYSIS; CONTROL DESIGN; TIME-DELAY;
D O I
10.1016/j.neucom.2016.01.067
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, less conservative sufficient conditions for the existence of switching laws for stabilizing switched TS fuzzy systems via a fuzzy Lyapunov function (FLF) and estimates the basin of attraction are proposed. The conditions are found by exploring properties of the membership functions and are formulated in terms of linear matrix inequalities (LMIs), which can be solved very efficiently using the convex optimization techniques. Finally, the effectiveness and the reduced conservatism of the proposed results are shown through two numerical examples. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码:51 / 57
页数:7
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