Stability of nonlinear system using takagi-sugeno fuzzy models and hyper-rectangle of LMIs

被引：8

作者：

Guedes J.A. ^{[1
]}

Teixeira M.C.M. ^{[2
]}

Cardim R. ^{[2
]}

Assunção E. ^{[2
]}

机构：

[1] CMCG - Colégio Militar de Campo Grande, Campo Grande MS 79000-810, Av. Presidente Vargas

[2] Department of Electrical Engineering, UNESP, Univ Estadual Paulista Campus of Ilha Solteira, Ilha Solteira SP 15385-000

来源：

Journal of Control, Automation and Electrical Systems | 2013年 / 24卷 / 1-2期

基金：

巴西圣保罗研究基金会;

关键词：

Linear Matrix Inequalities (LMIs); Lyapunov stability; Takagi-Sugeno fuzzy models;

D O I：

10.1007/s40313-013-0015-4

中图分类号：

学科分类号：

摘要：

This paper presents a theorem based on the hyper-rectangle defined by the closed set of the time derivatives of the membership functions of Takagi-Sugeno fuzzy systems. This result is also based on Linear Matrix Inequalities and allows the reduction of the conservatism of the stability analysis in the sense of Lyapunov. The theorem generalizes previous results available in the literature. © 2013 Brazilian Society for Automatics - SBA.

引用

页码：46 / 53

页数：7

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