Stability analysis of Takagi-Sugeno systems using a switched fuzzy Lyapunov function

被引：29
|
作者：
Elias, Leandro J. [1 ]
Faria, Flavio A. [2 ]
Araujo, Rayza [3 ]
Oliveira, Vilma A. [3 ]
机构：
[1] Inst Fed Educ Ciencia & Tecnol Sao Paulo, Dept Matemat & Educ, Araraquara, SP, Brazil
[2] Sao Paulo State Univ UNESP, Inst Quim, Dept Engn Fis & Matemat, Araraquara, SP, Brazil
[3] Univ Sao Paulo, Dept Engn Eletr & Comp, Sao Carlos, Brazil
来源：
INFORMATION SCIENCES | 2021年 / 543卷
基金：
巴西圣保罗研究基金会;
关键词：
Takagi-Sugeno systems; Switched fuzzy Lyapunov functions; Linear matrix inequalities; Domain of attraction estimates; Finite polytopic representation; H-INFINITY CONTROL; NONLINEAR-SYSTEMS; STABILIZATION; ATTRACTION; DESIGN; DOMAIN;
D O I：
10.1016/j.ins.2020.07.020
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a switched fuzzy Lyapunov function approach is proposed to analyze the stability of continuous-time Takagi-Sugeno fuzzy systems. The results are established by exploring properties of the membership functions. The key point is that the time derivatives of the membership functions are represented as a finite polytope and less conservative linear matrix inequalities are obtained. Numerical examples illustrate the efficiency of the new stabilizing conditions. (C) 2020 Elsevier Inc. All rights reserved.
引用
收藏
页码：43 / 57
页数：15
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