Fuzzy Lyapunov method for stability conditions of nonlinear systems

被引：106

作者：

Chen, CW

Chiang, WL

Tsai, CH

Chen, CY

Wangs, MHL

机构：

[1] Shute Univ, Dept Logist Management, Kaohsiung 82445, Taiwan

[2] Natl Cent Univ, Dept Civil Engn, Chungli 320, Taiwan

[3] Taiwan Hospital & Tourism Coll, Dept Informat Management, Hualien, Taiwan

[4] Natl Sun Yat Sen Univ, Dept Marine Environm & Engn, Kaohsiung 80424, Taiwan

[5] Vanung Univ, Dept Finance, Chungli 320, Taiwan

来源：

INTERNATIONAL JOURNAL ON ARTIFICIAL INTELLIGENCE TOOLS | 2006年 / 15卷 / 02期

关键词：

fuzzy Lyapunov method; linear matrix inequality;

D O I：

10.1142/S0218213006002618

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper proposes a fuzzy Lyapunov method for stability analysis of nonlinear systems represented by Tagagi-Sugeno (T-S) fuzzy model. The fuzzy Lyapunov function is defined in fuzzy blending quadratic Lyapunov functions. Based on fuzzy Lyapunov functions, some stability conditions are derived to ensure nonlinear systems are asymptotic stable. By using parallel distributed compensation (PDC) scheme, we design a nonlinear fuzzy controller for the nonlinear system. This control problem will be reformulated into linear matrix inequalities (LMI) problem.

引用

页码：163 / 171

页数：9

共 21 条

[1]

Boy S., 1994, Linear MatrixInequalities in System and Control Theory

[2] THEORETICAL AND LINGUISTIC ASPECTS OF THE FUZZY LOGIC-CONTROLLER [J].