Alternative LMI conditions for Takagi-Sugeno systems via fuzzy lyapunov function

被引：0

作者：

Mozelli L.A. ^{[1
]}

De Avellar G.S.C. ^{[1
]}

Palhares R.M. ^{[1
,2
]}

Dos Santos R.F. ^{[1
]}

机构：

[1] Universidade Federal de Minas Gerais, Departamento de Engenharia Eletrônica, 6627 - Pampulha, 31270-010 - Belo Horizonte - Minas Gerais, Av. Antônio Carlos

来源：

Controle y Automacao | 2010年 / 21卷 / 01期

关键词：

Fuzzy control; Fuzzy Lyapunov function; Linear matrix inequalities (LMIs); Takagi-Sugeno (TS) fuzzy model;

D O I：

10.1590/s0103-17592010000100008

中图分类号：

学科分类号：

摘要：

This paper deals with the stability analysis and control design for continuous Takagi-Sugeno fuzzy systems in a linear matrix inequality (LMI) framework. New LMI stability conditions are obtained by applying a relax- ation strategy in a recently proposed fuzzy Lyapunov function. In these new LMI stability conditions, new degrees of freedom are introduced, such that the conser- vativeness can be reduced. Furthermore, these condi- tions allow to design the control law entirely described by LMIs, which is much more attractive than bilinear matrix inequalities (BMI) approaches available in the literature. Numerical tests and simulations illustrate the advantages of the new methodology.

引用

页码：96 / 107

页数：11

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