IngentaConnect New results on robust H filtering design for discrete-time piecew...

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

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

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: 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

The full text electronic article is available for purchase. You will be able to download the full text electronic article after payment.

$37.29 plus tax

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