Switched mechanisms for stability and l1- gain analysis of T-S fuzzy positive systems described by the F-M second model

被引：26

作者：

Wang, Jinling ^{[1
]}

Liang, Jinling ^{[1
,3
]}

Wang, Lan ^{[2
]}

机构：

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

[2] Wuxi Inst Technol, Dept Fundamental Courses, Wuxi 214121, Peoples R China

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

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2018年 / 355卷 / 03期

基金：

中国国家自然科学基金;

关键词：

OUTPUT-FEEDBACK STABILIZATION; EXPONENTIAL STABILITY; INFINITY CONTROL; TIME; ARBITRARY;

D O I：

10.1016/j.jfranklin.2017.12.027

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, the Takagi-Sugeno fuzzy positive system is analyzed under the switched mechanisms, which is described by the discrete-time Fornasini-Marchesini Second model. By utilizing the co-positive Lyapunov function and the novel average dwell time method, sufficient conditions are derived under which the proposed system is positive, exponentially stable and has l(1)-gain bound. Furthermore, the criteria obtained are presented in the form of matrix inequalities which can be solved by the standard software. Finally, a numerical example is given to demonstrate the effectiveness of the approach outlined in the paper. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：1351 / 1372

页数：22

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