H∞ filtering for a class of singular Markovian jump systems with time-varying delay

Authors:
Shaohua Long;Shouming Zhong;Zijian Liu
Affiliations:
School of Mathematics Science, University of Electronic Science and Technology of China, Chengdu 610054, PR China and Department of Basic Course, Jincheng College of Sichuan University, Chengdu 61 ...;School of Mathematics Science, University of Electronic Science and Technology of China, Chengdu 610054, PR China;School of Mathematics Science, University of Electronic Science and Technology of China, Chengdu 610054, PR China
Venue:
Signal Processing
Year:
2012

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Abstract

This paper deals with the H"~ filtering problem for a class of singular Markovian jump systems with time-varying delay. The singular matrices E"r"("t") in the considered system are mode-dependent. We aim to design a filter ensuring that the filtering error system is mean-square exponentially admissible and satisfies a prescribed H"~ performance level. Using the Lyapunov functional method and the free-weighting matrix method, a delay-dependent sufficient condition for the existence of a desired filter is presented in the form of linear matrix inequalities (LMIs). Finally, some numerical examples are provided to show the effectiveness of the proposed approach.