New filter design for linear time-delay systems

被引：9

作者：

Mahmoud, Magdi S. ^{[1
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Syst Engn, Dhahran 31261, Saudi Arabia

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 434卷 / 04期

关键词：

Time-delay systems; Delay-dependent stability; Lyapunov functional; Uncertain systems; Filter design; LMIs; ROBUST H-INFINITY; STABILITY;

D O I：

10.1016/j.laa.2010.10.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper develops new robust delay-dependent filter design for a class of linear systems with time-varying delays and convex-bounded parameter uncertainties. The design procedure hinges upon the constructive use of an appropriate Lyapunov functional plus a free-weighting matrices in order to exhibit the delay-dependent dynamics. The developed approach utilizes smaller number of LMI decision variables thereby leading to less conservative solutions to the delay-dependent stability and filtering problems. Subsequently, linear matrix inequalities (LMIs)-based conditions are characterized such that the linear delay system is robustly asymptotically stable with an gamma-level L-2-gain. All the developed results are tested on representative examples. (c) 2010 Elsevier Inc. All rights reserved.

引用

页码：1080 / 1093

页数：14

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