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Technical Briefs

H Guaranteed Cost Filtering for Uncertain Discrete-Time Switched Systems With Multiple Time-Varying Delays

[+] Author and Article Information
Haibin Sun1

School of Automation, Southeast University, Najing, Jiangsu, 210096, P. R. China; Institute of Automation, Qufu Normal University, Qufu, Shandong, 273165 P. R. Chinafengyun19821219@126.com

Guangdeng Zong

Institute of Automation, Qufu Normal University, Qufu, Shandong, 273165 P. R. Chinazonggdeng@yahoo.com.cn

Linlin Hou

Institute of Automation, Qufu Normal University, Qufu, Shandong, 273165 P. R. Chinahoutingting8706@126.com

1

Corresponding author.

J. Dyn. Sys., Meas., Control 133(1), 014503 (Nov 24, 2010) (4 pages) doi:10.1115/1.4002711 History: Received May 17, 2009; Revised June 11, 2010; Published November 24, 2010; Online November 24, 2010

This paper deals with the problem of H guaranteed cost filtering for uncertain discrete-time switched systems with multiple time-varying delays. The switched system under consideration is subject to time-varying norm-bounded parameter uncertainties in all the system matrices. The aim is to design a filter, which guarantees the asymptotical stability of the error system with prescribed disturbance attenuation for all admissible uncertainties and the cost function value is not more than a specified upper bound. By resorting to a switched Lyapunov function, some delay-dependent sufficient conditions are presented in terms of linear matrix inequalities. A numerical example is provided to demonstrate the effectiveness of the proposed algorithms.

Copyright © 2011 by American Society of Mechanical Engineers
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