Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/53040
Type: Artigo de periódico
Title: A CONVEX APPROACH TO THE MIXED H-2/H-INFINITY, CONTROL PROBLEM FOR DISCRETE-TIME UNCERTAIN SYSTEMS
Author: GEROMEL, JC
PERES, PLD
SOUZA, SR
Abstract: This paper considers H-2/H-infinity, control problems involving discrete-time uncertain linear systems. The uncertain domain is supposed to be convex bounded, which naturally covers, as a particular case, the important class of interval matrices. The H-infinity guaranteed-cost control problem, solved for this class of uncertain systems, under no matching conditions, can be stated as follows: determine a state feedback gain (if one exists) such that the H-infinity norm of a given transfer function remains bounded by a prespecified level for all possible models. In the same context, problems on the determination of the smallest H-infinity upper bound and the minimization of an H-2 cost upper bound subject to H-infinity constraints are also addressed. The results follow from the fact that those problems are convex in the particular parametric space under consideration. Some examples illustrate the theory.
Subject: DISCRETE-TIME SYSTEM
UNCERTAIN SYSTEMS
MIXED H-2/H-INFINITY CONTROL
CONVEX ANALYSIS
Editor: Siam Publications
Rights: aberto
Identifier DOI: 10.1137/S0363012992238230
Date Issue: 1995
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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