A new approach to H∞ filtering for linear time-delay systems

被引：7

作者：

Liu, Jinliang ^{[1
,2
]}

Gu, Zhou ^{[3
]}

Tian, Engang ^{[4
]}

机构：

[1] Nanjing Univ Finance & Econ, Dept Appl Math, Nanjing 210046, Jiangsu, Peoples R China

[2] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China

[3] Nanjing Normal Univ, Sch Energy & Mech Engn, Nanjing 210042, Jiangsu, Peoples R China

[4] Nanjing Normal Univ, Inst Informat & Control Engn Technol, Nanjing 210042, Jiangsu, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2012年 / 349卷 / 01期

关键词：

DEPENDENT ROBUST STABILITY; MATRIX INEQUALITY APPROACH; UNCERTAIN SYSTEMS; VARYING STATE; DESIGN; CRITERIA;

D O I：

10.1016/j.jfranklin.2011.10.014

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 proposes a class of H-infinity filter design for continue-time systems with time-varying delay. Firstly, by exploiting a new Lyapunov function and using the convexity property of the matrix inequality, some delay-dependent stability conditions can be obtained for the asymptotical stability of the filtering-error system, which can lead to much less conservative analysis results. Secondly, based on the obtained conditions, the filter parameter matrixes can be obtained in terms of linear matrix inequalities (LMIs). Finally, two examples are given to demonstrate the effectiveness and the merit of the proposed method. (C) 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：184 / 200

页数：17

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