Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/81695
Type: Artigo de periódico
Title: On the design of guaranteed cost controllers for a class of uncertain linear systems
Author: Costa, EF
Oliveira, VA
Abstract: In this paper, we consider the guaranteed cost control problem (GCCP) for a class of uncertain linear systems with structured parametric uncertainty. We present an approach to the GCCP for systems with arbitrary rank uncertainty matrices based on a rank-one description of the uncertain linear system. A search for an adequate rank-one overbounding of the uncertainty matrices is included in an optimisation problem thus reducing the conservatism of previous methods based on rank-one description of the uncertain system. The paper extends previous results on the GCCP for a rank-one description of the uncertain system, an important description of uncertain systems. A feature of the proposed approach is that an upper bound on the guaranteed cost is minimized by solving an optimization problem with linear matrix inequalities, A numerical example is presented to illustrate the computational efficiency of the proposed approach. For comparison, we also include results for a polytopic description of the uncertain linear system. (C) 2002 Elsevier Science B.V. All rights reserved.
Subject: uncertain systems
rank-one uncertainty overbounding
guaranteed cost control
state feedback
linear matrix inequalities
Country: Holanda
Editor: Elsevier Science Bv
Rights: fechado
Identifier DOI: 10.1016/S0167-6911(01)00198-0
Date Issue: 2002
Appears in Collections:Unicamp - Artigos e Outros Documentos

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