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

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Wu, Zheng-Guang, Shi, Peng, 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

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.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/10343
DOI	10.1016/j.ins.2011.07.052
Official URL	http://dx.doi.org/10.1016/j.ins.2011.07.052
Subjects	Historical > FOR Classification > 0801 Artificial Intelligence and Image Processing Historical > FOR Classification > 0802 Computation Theory and Mathematics Historical > SEO Classification > 970118 Expanding Knowledge in Law and Legal Studies Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM) Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
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
Citations in Scopus	104 - View on Scopus
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