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On the numerical solution of the control problem of switched linear systems

Autor(es):
Vargas, Alessandro N. ; Ishihara, Joao Y. ; do Val, Joao B. R. ; IEEE
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: 2013 EUROPEAN CONTROL CONFERENCE (ECC); v. N/A, p. 5-pg., 2013-01-01.
Resumo

This paper presents a method to compute an epsilon-optimal solution of the control problem of switched linear systems. A difficulty that emerges in the evaluation of the optimal solution is that the cardinality of the solution set increases exponentially as long as the time-horizon increases linearly, which turns the problem intractable when the horizon is sufficiently large. We propose a numerical method to overcome such difficulty, in the sense that our approach allows the evaluation of epsilon-optimal solutions with corresponding sets that do not increase exponentially. (AU)

Processo FAPESP: 04/06947-0 - Sistemas lineares sujeitos a saltos markovianos: estabilidade e controle com observacao incompleta da cadeia.
Beneficiário:Alessandro Do Nascimento Vargas
Modalidade de apoio: Bolsas no Brasil - Doutorado
Processo FAPESP: 03/06736-7 - Controle e filtragem de sistemas estocásticos markovianos com saltos nos parâmetros
Beneficiário:João Bosco Ribeiro do Val
Modalidade de apoio: Auxílio à Pesquisa - Temático