New results on robust H ∞ filtering design for discrete-time piecewise linear delay systems

Authors: Qiu, Jianbin¹; Feng, Gang²; Yang, Jie³

Source: International Journal of Control, Volume 82, Number 1, January 2009 , pp. 183-194(12)

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Abstract:

This paper revisits the problem of robust H∞ filtering design for a class of discrete-time piecewise linear state-delayed systems. The state delay is assumed to be time-varying and of an interval-like type, which means that both the lower and upper bounds of the time-varying delay are available. The parameter uncertainties are assumed to have a structured linear fractional form. Based on a novel delay-dependent piecewise Lyapunov-Krasovskii functional combined with Finsler's Lemma, a new delay-dependent sufficient condition for robust H∞ performance analysis is first derived and then the filter synthesis is developed. It is shown that by using a new linearisation technique, a unified framework can be developed so that both the full-order and reduced-order filters can be obtained by solving a set of linear matrix inequalities (LMIs), 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.

Keywords: piecewise linear delay systems; linear fractional uncertainty; delay-dependent; robust filtering; linear matrix inequalities

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00207170802036196

Affiliations: 1: Department of Manufacturing Engineering and Engineering Management, University of Science and Technology of China & City University of Hong Kong Joint Advanced Research Center, Suzhou, PR China 2: Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong 3: Department of Precision Machinery and Precision Instrumentation, University of Science and Technology of China, Hefei, PR China

Publication date: 2009-01-01

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New results on robust H ∞ filtering design for discrete-time piecewise linear delay systems

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