Parameter-dependent robust H-infinity filtering for uncertain discrete-time systems

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Zhang, Jinhui, Xia, Yuanqing and Shi, Peng (2009) Parameter-dependent robust H-infinity filtering for uncertain discrete-time systems. Automatica, 45. pp. 560-565. ISSN 0005-1098

Abstract

This paper is concerned with the problem of parameter-dependent H∞ filtering for discrete-time systems with polytopic uncertainties. The uncertain parameters are supposed to reside in a polytope. Being different from previous results in the quadratic framework, the parameter-dependent Lyapunov function is used in this paper. Both full- and reduced-order filters are designed, which guarantee the asymptotic stability and a prescribed H∞ performance level. The filter parameters can be obtained from the solution of convex optimization problems in terms of linear matrix inequalities, which can be solved via efficient interior-point algorithms. Numerical examples are presented to illustrate the feasibility and less conservativeness of the proposed method.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/4731
DOI	10.1016/j.automatica.2008.09.005
Official URL	http://www.sciencedirect.com/science/article/pii/S...
Subjects	Historical > SEO Classification > 970109 Expanding Knowledge in Engineering Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM) Historical > FOR Classification > 0199 Other Mathematical Sciences Information Systems
Keywords	ResPubID17662, discrete-time systems, linear matrix inequality, H∞ filtering, polytopic systems
Citations in Scopus	93 - View on Scopus
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