Quadratically convex combination approach to stability of T-S fuzzy systems with time-varying delay

被引：43

作者：

Yang, Feisheng ^{[1
,2
]}

Guan, Sho-Aping ^{[1
,2
]}

Wang, Dianhui ^{[3
]}

机构：

[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Liaoning, Peoples R China

[2] State Key Lab Synthet Automat Proc Ind, Shenyang, Peoples R China

[3] La Trobe Univ, Dept Comp Sci & Comp Engn, Bundoora, Vic 3086, Australia

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2014年 / 351卷 / 07期

基金：

中国国家自然科学基金; 国家高技术研究发展计划(863计划);

关键词：

DEPENDENT ROBUST STABILITY; H-INFINITY CONTROL; NETWORKED CONTROL; STABILIZATION; CRITERIA; CONTROLLER; DESIGN;

D O I：

10.1016/j.jfranklin.2013.01.025

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 develops a novel stability analysis method for Takagi-Sugeno (T-S) fuzzy systems with time-varying delay. New delay-dependent stability criteria in terms of linear matrix inequalities for time-varying delayed T-S fuzzy systems are derived by the newly proposed augmented Lyapunov-Krasovski (L-K) functional. This functional contains the cross terms of variables and quadratic terms multiplied by a higher degree scalar function. Different from previous results, our derivation applies the idea of second-order convex combination, and the property of quadratic convex function without resorting to the Jensen's inequality. Two numerical examples are provided to verify the effectiveness of the presented results. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：3752 / 3765

页数：14

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