A fuzzy Lyapunov function approach to estimating the domain of attraction for continuous-time Takagi-Sugeno fuzzy systems

被引：95
作者：
Lee, Dong Hwan [1 ]
Park, Jin Bae [1 ]
Joo, Young Hoon [2 ]
机构：
[1] Yonsei Univ, Dept Elect & Elect Engn, Seoul 120749, South Korea
[2] Kunsan Natl Univ, Dept Control & Robot Engn, Kunsan 573701, Chonbuk, South Korea
来源：
INFORMATION SCIENCES | 2012年 / 185卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
Continuous-time Takagi-Sugeno (T-S) fuzzy systems; Domain of attraction (DA); Linear matrix inequality (LMI); Non-parallel distributed compensation (non-PDC); Fuzzy Lyapunov function (FLF); NONQUADRATIC STABILIZATION CONDITIONS; NONLINEAR-SYSTEMS; STABILITY CONDITIONS; DESIGN;
D O I：
10.1016/j.ins.2011.06.008
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 deals with stability analysis and control design problems for continuous-time Takagi-Sugeno (T-S) fuzzy systems. The first aim is to present less conservative linear matrix inequality (LMI) conditions to design controllers and assess the stability. The second relevant contribution is to present a new strategy to find an inner estimate of the domain of attraction (DA) via LMIs. The results are based on the fuzzy Lyapunov functions (FLFs) and non-parallel distributed compensation (non-PDC) approaches. Finally, examples illustrate the effectiveness and merits of the proposed methods. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：230 / 248
页数：19
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