A new approach to robust H-infinity filtering for uncertain systems with both discrete and distributed delays

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Wu, Ligang, Shi, Peng and Wang, Changhong (2007) A new approach to robust H-infinity filtering for uncertain systems with both discrete and distributed delays. Circuits Systems Signal Processing, 26 (2). pp. 229-248. ISSN 0278-081X

Abstract

This paper is concerned with robust H∞ filter design for a class of linear distributed delay systems with norm-bounded time-varying parameter uncertainties. The distributed delays are assumed to appear in both state and measurement equations. A new design method is proposed by introducing some relaxation matrices and tuning parameters, which can be chosen properly to lead to a less conservative result. A sufficient condition is obtained to guarantee the existence of desired H∞ filters, which can be constructed by solving a convex optimization problem. A numerical example is included to illustrate the effectiveness and the reduced conservatism of the proposed design technique.

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Item type	Article
URI	https://vuir.vu.edu.au/id/eprint/7639
DOI	10.1007/s00034-006-0226-z
Official URL	http://link.springer.com/article/10.1007%2Fs00034-...
Subjects	Historical > FOR Classification > 0102 Applied Mathematics Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Keywords	ResPubID22864. distributed delay, H∞ filtering, H Infinity, robust filtering, uncertain systems, linear matrix inequalities, LMIs, linear distributed delay systems
Citations in Scopus	25 - View on Scopus
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