M-matrix based robust stability and stabilization for uncertain discrete-time switched TS fuzzy systems with time-varying delays

被引：20
|
作者：
Jaballi, Ahmed [1 ,2 ]
Sakly, Anis [2 ]
El Hajjaji, Ahmed [1 ]
机构：
[1] Univ Picardie Jules Verne, Modelling Informat & Syst Lab MIS, 7 Rue Moulin Neuf, F-80000 Amiens, France
[2] Univ Monastir, Res Unit Ind Syst Study & Renewable Energy ESIER, Av Ibn El Jazzar, Monastir 5019, Tunisia
来源：
ISA TRANSACTIONS | 2016年 / 63卷
关键词：
Switched TS fuzzy system; Stability; Fuzzy control; Polytopic uncertainties; M-matrix; Induced norms; Time-varying delays; OUTPUT-FEEDBACK; NETWORKS; HYBRID;
D O I：
10.1016/j.isatra.2016.02.017
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 provides novel sufficient conditions on robust asymptotic stability and stabilization for a class of uncertain discrete-time switched fuzzy with time-varying delays. The attention is focused on developing new algebraic criteria to break with classical criteria in terms of Linear Matrix Inequalities (LMIs). Firstly, based on the M-matrix proprieties and through l(1,infinity) induced norms notion, new delay-dependent sufficient conditions are derived to ensure the asymptotic stability and stabilization for a class of uncertain discrete-time switched fuzzy systems with time-varying delay. Secondly, these results are extended for a class of uncertain discrete-time switched fuzzy systems with time delays, modeled by difference equations. Finally, two numerical examples and practical example (a robot arm) are provided to demonstrate the advantage and the effectiveness of our results. (C) 2016 ISA. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：60 / 68
页数：9
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