LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form

被引：717

作者：

Guerra, TM ^{[1
]}

Vermeiren, L ^{[1
]}

机构：

[1] CNRS, LAMIH, UMR 8530, F-59313 Valenciennes 9, France

来源：

AUTOMATICA | 2004年 / 40卷 / 05期

关键词：

fuzzy models; nonquadratic stabilization; nonlinear control; Lyapunov function; linear matrix inequality (LMI);

D O I：

10.1016/j.automatica.2003.12.014

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 presents the stabilization analysis for a class of nonlinear systems that are represented by a Takagi and Sugeno (TS) discrete fuzzy model (Takagi and Sugeno IEEE Trans. Systems Man Cybern. 15(1)(1985)116). The main result given here concerns their stabilization using new control laws and new nonquadratic Lyapunov functions. New relaxed conditions and linear matrix inequality-based design are proposed that allow outperforming previous results found in the literature. Two examples are also provided to demonstrate the efficiency of the approaches. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：823 / 829

页数：7

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