H-infinity filtering for discrete-time switched linear systems under arbitrary switching

被引：2

作者：

Ding D. ^{[1
]}

Yang G. ^{[2
]}

Li X. ^{[1
]}

机构：

[1] School of Automation and Electrical Engineering, And Key Laboratory of Advanced Control of Iron and Steel Process (Ministry of Education), University of Science and Technology Beijing

[2] College of Information Science and Engineering, And State Key Laboratory of Integrated Automation for Process Industry, Northeastern University

来源：

Journal of Control Theory and Applications | 2011年 / 9卷 / 2期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Filtering; Finsler's lemma; Linear matrix inequality (LMI); Switched quadratic Lyapunov function; Switched systems;

D O I：

10.1007/s11768-011-8171-1

中图分类号：

学科分类号：

摘要：

This paper is concerned with the problem of H-infinity filtering for discrete-time switched linear systems under arbitrary switching laws. New sufficient conditions for the solvability of the problem are given via switched quadratic Lyapunov functions. Based on Finsler's lemma, two sets of slack variables with special structure are introduced to provide extra degrees of freedom in optimizing the guaranteed H-infinity performance. Compared to the existing methods, the proposed one has better performances and less conservatism. An example is given to illustrate its effectiveness. © 2011 South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.

引用

页码：261 / 266

页数：5

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