Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/100963
Type: Artigo de periódico
Title: Continuous-time State-feedback H 2-control Of Markovian Jump Linear Systems Via Convex Analysis
Author: Costa O.L.V.
Do Val J.B.R.
Geromel J.C.
Abstract: Continuous-time H 2-control problem for the class of linear systems with Markovian jumps (MJLS) using convex analysis is considered in this paper. The definition of the H 2-norm for continuous-time MJLS is presented and related to the appropriate observability and controllability Gramians. A convex programming formulation for the H 2-control problem of MJLS is developed. That enables us to tackle the optimization problem of MJLS under the assumption that the transition rate matrix Π = [π ij] for the Markov chain may not be exactly known, but belongs to an appropriate convex set. An equivalence between the convex formulation when Π is exactly known and the usual dynamic programming approach of quadratic optimal control of MJLS is established. It is shown that there exists a solution for the convex programming problem if and only if there exists the mean-square stabilizing solution for a set of coupled algebraic Riccati equations. These results are compared with other related works in the current literature. © 1999 Elsevier Science Ltd. All rights reserved.
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Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-0033077957&partnerID=40&md5=8d6eb4ee2418c6f7ff9a2470f1cb0b40
Date Issue: 1999
Appears in Collections:Unicamp - Artigos e Outros Documentos

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