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		Dawei DING,Guanghong YANG,Xiaoli LI.[en_title][J].Control Theory and Technology,2011,9(2):261~266.[Copy]

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DaweiDING,GuanghongYANG,XiaoliLI
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(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;College of Information Science and Engineering, and State Key Laboratory of Integrated Automation for Process Industry, Northeastern University)

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Received:October 08, 2008Revised:August 13, 2009

基金项目:This work was partly supported by the National Natural Science Foundation of China (No. 60974043, 61074055), the Fundamental Research Funds for the Central Universities (No. N090604001, N090604002), the China Postdoctoral Science Foundation (No. 20100470203), and the Fund of Beijing Excellent Talents Program (No. 2009D013001000016).

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

Dawei DING,Guanghong YANG,Xiaoli LI

(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;College of Information Science and Engineering, and State Key Laboratory of Integrated Automation for Process Industry, Northeastern University)

Abstract:

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.

Key words: Switched systems Switched quadratic Lyapunov function Finsler’s lemma Filtering Linear matrix inequality (LMI)