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Mixed Reduced-Order Filtering for Discrete-Time Markov Jump Linear Systems With Partial Information on the Jump Parameter

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Autor(es):
de Oliveira, Andre M. ; dos Santos, Sergio R. Barros ; Costa, Oswaldo L. V.
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS; v. N/A, p. 12-pg., 2023-06-21.
Resumo

This article deals with the H-2 , H-8 , and mixed H2/H-8 reduced-order filters for discrete-time Markov jump linear systems, within the context of partial observation of the jump parameter. It is considered that the Markov chain parameter, denoted by ?(k), is not observable but, instead, only an estimation, represented by (?) over cap (k), is available for the filter design. Sufficient synthesis conditions for the filter design, based on linear matrix inequalities, are provided. These conditions for the H-2 and H-8 filters are not conservative in the sense that, for the full-order case and perfect information of the Markov parameter, they become also necessary. Simplified conditions are derived for the Bernoulli case. This article is concluded with an illustrative example in the context of networked control systems, in which we study the effects of reducing the order of the filter on the estimation performance. (AU)

Processo FAPESP: 21/13338-6 - Controle e filtragem de sistemas dinâmicos sujeitos a variações abruptas e aleatórias
Beneficiário:André Marcorin de Oliveira
Modalidade de apoio: Auxílio à Pesquisa - Regular
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
Processo FAPESP: 20/15230-5 - Centro de Pesquisa e Inovação de Gases de Efeito Estufa - RCG2I
Beneficiário:Julio Romano Meneghini
Modalidade de apoio: Auxílio à Pesquisa - Programa Centros de Pesquisa em Engenharia