H∞ filtering for a class of discrete-time switched fuzzy systems

被引：29

作者：

Zhang, Lixian ^{[1
,2
]}

Dong, Xianke ^{[1
]}

Qiu, Jianbin ^{[1
]}

Alsaedi, Ahmed ^{[3
]}

Hayat, Tasawar ^{[3
,4
]}

机构：

[1] Harbin Inst Technol, Res Inst Intelligent Control & Syst, Harbin 150001, Peoples R China

[2] King Abdulaziz Univ, Fac Engn, Commun Syst & Networks CSN Res Grp, Jeddah 21589, Saudi Arabia

[3] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia

[4] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2014年 / 14卷

基金：

中国国家自然科学基金;

关键词：

Mode dependent average dwell time; H-infinity filtering; Switched systems; Fuzzy systems; NETWORKED NONLINEAR-SYSTEMS; LINEAR-SYSTEMS; DEPENDENT APPROACH; LYAPUNOV FUNCTION; STABILITY; DESIGN; STABILIZATION;

D O I：

10.1016/j.nahs.2014.05.009

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 focuses on H-infinity filtering problem for a class of discrete-time switched nonlinear system under both fast and slow switching property. Each nonlinear mode of the switched system is expressed by a set of linear systems in local regions via T-S fuzzy modeling. Based on mode-dependent and fuzzy-basis-dependent Lyapunov functions, the existence conditions for the desired full-order filters are derived such that the developed filtering error system is globally uniformly asymptotically stable with a given H-infinity performance index. In particular, the mode-dependent average dwell time switching scheme is proposed for slow switching to relax the restrictions of average dwell time. Finally, the validity and potential of the developed theoretical results are demonstrated by a numerical example. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：74 / 85

页数：12

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