Design of Stabilizing Dynamic Output Feedback Controllers for Hidden Markov Jump Linear Systems

Autor(es)

de Oliveira, A. M. ; Costa, O. L. V. ; Daafouz, J.

• Tipo de documento: Artigo Científico
• Fonte: IEEE CONTROL SYSTEMS LETTERS; v. 2, n. 2, p. 6-pg., 2018-04-01.

Resumo

In this letter, we investigate the design of stabilizing dynamic output feedback controllers for Markov jump linear systems considering a context of partial information on the Markov chain. We assume that the mode of operation of the system is not available, but only an estimation provided by a detector in the spirit of hidden Markov models. We present new nonlinear matrix inequalities conditions for the design of stabilizing dynamic controllers that depend only on the estimation, and by means of some interesting properties of this new condition, we are able to provide a type of ad hoc separation procedure involving linear matrix inequalities in which the controller is obtained via a two-stage algorithm. First a stabilizing state feedback gain depending only on the estimation is calculated and used as an input in the second step for obtaining the remaining controller parameters. The final stabilizing controller is composed by both the state feedback gain of the first stage and the dynamic system calculated in the last stage. We present a numerical example in the context of systems subject to failures in order to illustrate our results. (AU)

• 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
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 17/06358-5 - Controle de sistemas lineares com saltos markovianos com observação parcial do modo de Markov
• Beneficiário: André Marcorin de Oliveira
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado
• 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: 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