Journal
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING
Volume 23, Issue 12, Pages 1082-1096Publisher
WILEY
DOI: 10.1002/acs.1103
Keywords
piecewise linear systems; robust H-infinity filtering; linear fractional uncertainty; time-varying delay; delay-dependent; linear matrix inequalities
Funding
- Research Grants Council of the Hong Kong Special Administrative Region of China [CityU-112907]
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This paper investigates the problem of delay-dependent robust H-infinity filtering design for a class of uncertain discrete-time piecewise linear state-delayed systems where state space instead of measurable output space partitions are assumed so that filter implementation may not be synchronized with plant state trajectory transitions. The state delay is assumed to be time-varying and of an interval-like type. The uncertainties are assumed to have a structured linear fractional form. The objective is to design a piecewise linear state estimator guaranteeing the asymptotic stability of the resulting filtering error system with robust H-infinity performance gamma. Based on a new delay-dependent piecewise Lyapunov-Krasovskii functional combined with Finsler's Lemma, a novel delay-dependent robust H-infinity performance analysis result is first presented and the filter synthesis is then developed. It is shown that the filter gains can be obtained by solving a set of linear matrix inequalities, which are numerically efficient with commercially available software. Finally, a numerical example is provided to illustrate the effectiveness and less conservatism of the proposed approach. Copyright (C) 2009 John Wiley & Sons, Ltd.
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