Parameter-dependent robust H∞ filtering for uncertain discrete-time systems

被引：80
作者：
Zhang, Jinhui [1 ]
Xia, Yuanqing [1 ]
Shi, Peng [2 ,3 ,4 ]
机构：
[1] Beijing Inst Technol, Dept Automat Control, Beijing 100081, Peoples R China
[2] Univ Glamorgan, Fac Adv Technol, Pontypridd CF37 1DL, M Glam, Wales
[3] Victoria Univ, Sch Comp Sci & Math, ILSCM, Melbourne, Vic 8001, Australia
[4] Univ S Australia, Sch Math & Stat, Adelaide, SA 5001, Australia
来源：
AUTOMATICA | 2009年 / 45卷 / 02期
基金：
英国工程与自然科学研究理事会; 中国国家自然科学基金;
关键词：
Discrete-time systems; Linear matrix inequality; H(infinity) filtering; Polytopic systems; POLYTOPIC-TYPE UNCERTAINTIES; STATE-DELAYED SYSTEMS; SAMPLED-DATA SYSTEMS; LINEAR-SYSTEMS; LYAPUNOV FUNCTIONS; STABILITY; DESIGN; H-2; FUNCTIONALS;
D O I：
10.1016/j.automatica.2008.09.005
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 is concerned with the problem of parameter-dependent H(infinity) filtering for discrete-time systems with polytopic uncertainties. The uncertain parameters are supposed to reside in a polytope. Being different from previous results in the quadratic framework, the parameter-dependent Lyapunov function is used in this paper. Both full- and reduced-order filters are designed, which guarantee the asymptotic stability and a prescribed H(infinity) performance level. The filter parameters can be obtained from the solution of convex optimization problems in terms of linear matrix inequalities, which can be solved via efficient interior-point algorithms. Numerical examples are presented to illustrate the feasibility and less conservativeness of the proposed method. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：560 / 565
页数：6
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