Further studies on LMI-based relaxed stabilization conditions for nonlinear systems in Takagi-Sugeno's form

被引：252

作者：

Ding, BC ^{[1
]}

Sun, HX ^{[1
]}

Yang, P ^{[1
]}

机构：

[1] Hebei Univ Technol, Sch Elect & Automat, Tianjin 300130, Peoples R China

来源：

AUTOMATICA | 2006年 / 42卷 / 03期

基金：

中国国家自然科学基金;

关键词：

T-S fuzzy systems; parameter-dependent Lyapunov function; parallel distributed compensation; nonquadratic Lyapunov function;

D O I：

10.1016/j.automatica.2005.11.005

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 further studies stabilization of nonlinear systems represented by a Takagi-Sugeno (T-S) discrete fuzzy model. By extending a nonquadratic Lyapunov function and applying a nonparallel distributed compensation (non-PDC) law, a new stabilization conclusion is presented that is a generalization of some previous results in the literature. The new conclusion under a special situation is also suitable for a PDC law, which presents to be more relaxed than some existing results. An example is provided to demonstrate the effectiveness of the new conclusions. (C) 2005 Elsevier Ltd. All rights reserved.

引用

页码：503 / 508

页数：6

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