Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/74660
Type: Artigo de periódico
Title: Suboptimal reduced-order filtering through an LMI-based method
Author: Geromel, JC
Levin, G
Abstract: This paper addresses the reduced-order filtering design problem for continuous-time linear systems. The H-2 and H-infinity norms of the estimation error, used as performance criteria, are discussed and a new linear matrix inequalities (LMI)-based method for reduced-order filter design is proposed. Differently from the methods available in the literature to date, the one presented here does not solve the associated nonconvex problem by means of an appropriate optimization procedure. It is based on the a priori determination of a certain matrix that simultaneously rends convex the problem to be solved and reduces the suboptimality degree of the solution. Its efficiency is tested by means of two examples. The first one, borrowed from the literature, allows the comparison of our method, for the H-2 norm case, with three earlier techniques, one of them being the well-known balanced truncation. The second one, of higher order, consists of the estimation of the displacement of a tapered bar using an H-infinity norm criterion.
Subject: linear matrix inequalities (LMI)
linear time invariant (LTI) systems
reduced-order filtering
Country: EUA
Editor: Ieee-inst Electrical Electronics Engineers Inc
Rights: fechado
Identifier DOI: 10.1109/TSP.2006.874843
Date Issue: 2006
Appears in Collections:Unicamp - Artigos e Outros Documentos

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