Local stability of discrete-time TS fuzzy systems

被引：8

作者：

Lendek, Zsofia ^{[1
]}

Lauber, Jimmy ^{[2
]}

机构：

[1] Tech Univ Cluj Napoca, Dept Automat, Memorandumului 28, Cluj Napoca 400114, Romania

[2] Univ Valenciennes & Hainaut Cambresis, LAMIH, F-59313 Le Mt Houy 9, Valenciennes, France

来源：

IFAC PAPERSONLINE | 2016年 / 49卷 / 05期

关键词：

discrete-time fuzzy system; local stability; Lyapunov stability; NONQUADRATIC STABILIZATION CONDITIONS; TAKAGI-SUGENOS FORM; LYAPUNOV FUNCTIONS; NONLINEAR-SYSTEMS; DESIGN; MODELS;

D O I：

10.1016/j.ifacol.2016.07.081

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 considers local stability analysis of discrete-time Takagi-Sugeno fuzzy systems, for which classically in the TS literature only global stability is considered. Using a common quadratic and nonquadratic Lyapunov function, respectively, LMI conditions are developed to establish local stability of an equilibrium point. Act estimate of the region of attraction of this point is also determined. The developed conditions are illustrated on a numerical example. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：7 / 12

页数：6

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