Robust filtering for 2-D discrete-time linear systems with convex-bounded parameter uncertainty

被引：54
|
作者：
de Souza, Carlos E. [1 ]
Xie, Lihua [2 ]
Coutinho, Daniel F. [3 ]
机构：
[1] MCT, LNCC, Dept Syst & Control, BR-25651075 Petropolis, RJ, Brazil
[2] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore
[3] Pontificia Univ Catolica Rio Grande Sul PUCRS, Grp Automat & Control Syst GACS, BR-90619900 Porto Alegre, RS, Brazil
来源：
AUTOMATICA | 2010年 / 46卷 / 04期
关键词：
Robust H(infinity) filter; Robust H(2) filter; 2-D systems; Uncertain systems; Discrete-time systems; Parameter-dependent Lyapunov function; DESIGN; MODELS;
D O I：
10.1016/j.automatica.2010.01.017
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 problems of robust H(infinity) and H(2) filtering for 2-dimensional (2-D) discrete-time linear systems described by a Fornasini-Marchesini second model with matrices that depend affinely on convex-bounded uncertain parameters. By a suitable transformation, the system is represented by an equivalent difference-algebraic representation. A parameter-dependent Lyapunov function approach is then proposed for the design of 2-D stationary discrete-time linear filters that ensure either a prescribed H(infinity) performance or H(2) performance for all admissible uncertain parameters. The filter designs are given in terms of linear matrix inequalities. Numerical examples illustrate the effectiveness of the proposed filter design methods. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：673 / 681
页数：9
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