Mixed H-2/H-infinity control of hidden Markov jump systems

Autor(es)

de Oliveira, A. M. ^[1] ; Costa, O. L. V. ^[1]

Afiliação do(s) autor(es)

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

• Tipo de documento: Artigo Científico
• Fonte: INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL; v. 28, n. 4, p. 1261-1280, MAR 10 2018.
• Citações Web of Science: 14

Resumo

In this work, we study the mixed H-2/H-infinity control for Markov jump linear systems with hidden Markov parameters. The hidden Markov process is denoted by (theta(k), (theta) over cap (k)), where the nonobservable component theta(k) represents themode of operation of the system, whereas (theta) over cap (k) represents the observable component provided by a detector. The goal is to obtain design techniques for mixed H-2/H-infinity control problems, with the controllers depending only on the estimate (theta) over cap (k), for problems formulated in 3 different forms: (i) minimizing an upper bound on the H-2 norm subject to a given restriction on the H-infinity norm; (ii) minimizing an upper bound on the H-infinity norm, while limiting the H-2 norm; and (iii) minimizing a weighted combination of upper bounds of both the H-2 and H-infinity norms. We propose also new conditions for synthesizing robust controllers under parametric uncertainty in the detector probabilities and in the transition probabilities. The so-called cluster case for the mixed H-2/H-infinity control problem is also analyzed under the detector approach. The results are illustrated by means of 2 numerical examples. (AU)

• Processo FAPESP: 14/50279-4 - Brasil Research Centre for Gas Innovation
• Beneficiário: Julio Romano Meneghini
• Linha de fomento: Auxílio à Pesquisa - Programa Centros de Pesquisa em Engenharia
• 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
• Linha de fomento: Auxílio à Pesquisa - Temático
• Processo FAPESP: 15/09912-8 - Estimação e controle de sistemas lineares com saltos markovianos com observação parcial do modo de operação
• Beneficiário: André Marcorin de Oliveira
• Linha de fomento: Bolsas no Brasil - Doutorado