Stability analysis and synthesis for switched Takagi-Sugeno fuzzy positive systems described by the Roesser model

被引：16

作者：

Wang, Jinling ^{[1
]}

Liang, Jinling ^{[1
]}

Dobaie, Abdullah M. ^{[2
]}

机构：

[1] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China

[2] King Abdulaziz Univ, Dept Elect & Comp Engn, Jeddah 21589, Saudi Arabia

来源：

FUZZY SETS AND SYSTEMS | 2019年 / 371卷

基金：

中国国家自然科学基金;

关键词：

Positive systems; Roesser model; Takagi-Sugeno fuzzy rule; Exponential stability; Average dwell time; FEEDBACK CONTROLLER-DESIGN; DELAY-DEPENDENT STABILITY; H-INFINITY CONTROL; NONLINEAR-SYSTEMS; LINEAR-SYSTEMS; STATE; TIME; STABILIZATION;

D O I：

10.1016/j.fss.2018.10.004

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This article focuses on stability analysis and controller synthesis of a class of Roesser-type switched Takagi-Sugeno fuzzy systems with delays. First, sufficient conditions derived by use of the co-positive Lyapunov function and the average dwell time method are presented to guarantee the proposed system is positive and exponentially stable. Then via a state feedback fuzzy controller, criteria are also given under which not only the resulting closed-loop system is positive and exponentially stable but also the desired controller gain matrices can be designed by solving a set of coupled matrix inequalities. Finally, two illustrative examples are provided to show the effectiveness of the approach outlined in this article. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：25 / 39

页数：15

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