Control Law Proposition for the Stabilization of Discrete Takagi-Sugeno Models

被引：98

作者：

Guerra, Thierry Marie ^{[1
]}

Kruszewski, Alexandre ^{[2
]}

Bernal, Miguel ^{[3
]}

机构：

[1] Univ Valenciennes Hainaut Cambresis, CNRS, UMR 8530, Lab Automat & Mecan Ind & Humaines, F-59313 Valenciennes, France

[2] Ecole Cent Lille, CNRS, UMR 8146, LAGIS, F-59651 Villeneuve Dascq, France

[3] Natl Res Syst, Mexico City 03940, DF, Mexico

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2009年 / 17卷 / 03期

关键词：

Linear matrix inequalities (LMI); Lyanupov functional; stabilization; Takagi-Sugeno discrete models; PIECEWISE LYAPUNOV FUNCTIONS; CONTROL-SYSTEM DESIGN; FUZZY-SYSTEMS; NONLINEAR-SYSTEMS; LMI; STABILITY; FORM; REDUCTION;

D O I：

10.1109/TFUZZ.2008.928602

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper deals with the stabilization of a class of discrete nonlinear models, namely those in the Takagi-Sugeno form; its main goal is to reduce conservatism of existing stabilization conditions using a special class of candidate Lyapunov functions and an enhanced control law. It is shown that the use of the aforementioned Lyapunov function leads to less-pessimistic solutions. The usefulness of the new control law is shown through several examples.

引用

页码：724 / 731

页数：8

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