Delay-Dependent Robust H a Filter Design for Uncertain Linear Systems with Time-Varying Delay

被引：7
作者：
Sun, Jian [1 ,2 ]
Chen, Jie [1 ]
Liu, G. P. [2 ,3 ]
Rees, D. [2 ]
机构：
[1] Beijing Inst Technol, Sch Automat, Beijing 100081, Peoples R China
[2] Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
[3] Chinese Acad Sci, Key Lab Complex Syst & Intelligent Sci, Inst Automat, Beijing 100190, Peoples R China
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2009年 / 28卷 / 05期
基金：
美国国家科学基金会;
关键词：
Delay-dependent stability; H-infinity filtering; Time-varying delay; Lyapunov functional; Linear matrix inequality; PREDICTIVE CONTROL-SYSTEMS; STATE DELAYS; PARAMETRIC UNCERTAINTY; DISTRIBUTED DELAYS; POLYTOPIC SYSTEMS; OBSERVER DESIGN; INFINITY; DISCRETE; STABILITY;
D O I：
10.1007/s00034-009-9120-9
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
A new delay-dependent robust H (a) filtering design for uncertain linear systems with time-varying delay is investigated. Two kinds of time-varying delays are considered. One is differentiable uniformly bounded with a bounded delay derivative; the other is continuous uniformly bounded. A full-order filter is designed which ensures the asymptotic stability of the filtering error system and a prescribed level of H (a) performance for all possible parameters which reside in a given polytope. By constructing a new Lyapunov functional which contains a triple integral term, new delay-dependent conditions for the existence of the H (a) filter are derived which are less conservative than the existing ones. The filter gain can be obtained by solving a set of linear matrix inequalities (LMIs). Finally, two numerical examples are given to show the effectiveness and the advantages of the proposed method.
引用
收藏
页码：763 / 779
页数：17
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