Suboptimal H-2 and H-infinity static output feedback control of hidden Markov jump linear systems

Autor(es)

de Oliveira, Andre Marcorin ^[1] ; do Valle Costa, Oswaldo Luiz ^[1] ; Daafouz, Jamal ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Escola Politecn, Dept Engn Telecomunicacoes & Controle, BR-05508010 Sao Paulo, SP - Brazil

^[2] Univ Lorraine, CRAN, CNRS, F-54000 Nancy - France

• Tipo de documento: Artigo Científico
• Fonte: European Journal of Control; v. 51, p. 10-18, JAN 2020.
• Citações Web of Science: 0

Resumo

In this work we study the design of H-2, H-infinity, and mixed H-2/H-infinity static output feedback controllers for Markov jump linear systems in a context of partial information. We assume that the controller has only access to an observable variable that plays the role of a detector of the jump process. We present suboptimal conditions based on the so-called two step procedure in order to design static output feedback controllers that depend only on the detector such that the closed-loop system is stochastically stable and its H-2 or/and H-infinity norms are bounded. We also investigate the robust control case, in which the system matrices and transition probabilities are uncertain. An iterative algorithm that guarantees a non-increasing sequence of optimized costs is presented. Our results are illustrated by a numerical example in the context of systems subject to failures in which we show that the inherent conservatism of the mixed H-2/H-infinity control and the two step procedure can be improved by the proposed method. (C) 2019 European Control Association. Published by Elsevier Ltd. All rights reserved. (AU)

• Processo FAPESP: 14/50279-4 - Brasil Research Centre for Gas Innovation
• Beneficiário: Julio Romano Meneghini
• Modalidade de apoio: Auxílio à Pesquisa - Programa Centros de Pesquisa em Engenharia
• Processo FAPESP: 18/19388-2 - Controle de sistemas lineares com dinâmica sujeita a variações markovianas e informações parciais sobre o parâmetro de Markov
• Beneficiário: André Marcorin de Oliveira
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 14/50851-0 - INCT 2014: Instituto Nacional de Ciência e Tecnologia para Sistemas Autônomos Cooperativos Aplicados em Segurança e Meio Ambiente
• Beneficiário: Marco Henrique Terra
• Modalidade de apoio: Auxílio à Pesquisa - Temático