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l2–l infinity filter design for discrete-time singular Markovian jump systems with time-varying delays

Wu, Zheng-Guang and Shi, Peng and Su, Hongye and Chu, Jian (2011) l2–l infinity filter design for discrete-time singular Markovian jump systems with time-varying delays. Information Sciences, 181 (24). pp. 5534-5547. ISSN 0020-0255

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Abstract

In this paper, the problem of l2–l∞ mode-independent filter design has been investigated for discrete-time singular Markovian jump systems with state delays. A sufficient condition has been derived for the filtering error system to be regular, causal, and delay-dependent stochastically stable. Based on the obtained analysis result, the full-order and reduced-order filters have been designed in a unified framework. The addressed filter design problem has been converted into the feasibility problem of a set of LMIs, which can be checked efficiently via the Matlab LMI Toolbox. The obtained delay-dependent results rely upon the partitioning size. The numerical examples have been given to show the effectiveness and the potential of the proposed techniques.

Item Type: Article
Uncontrolled Keywords: ResPubID24840, singular systems, Markovian jump systems, time-delay systems, linear matrix inequality, LMI, mode-independent filter design, control systems, linear state-space filter, hybrid system
Subjects: FOR Classification > 0801 Artificial Intelligence and Image Processing
FOR Classification > 0802 Computation Theory and Mathematics
SEO Classification > 970118 Expanding Knowledge in Law and Legal Studies
Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Faculty/School/Research Centre/Department > School of Engineering and Science
Depositing User: VUIR
Date Deposited: 07 Mar 2013 03:56
Last Modified: 12 Mar 2013 03:03
URI: http://vuir.vu.edu.au/id/eprint/10343
DOI: 10.1016/j.ins.2011.07.052
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Citations in Scopus: 22 - View on Scopus

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