Stochastic Filtering of Max-Plus Linear Systems With Bounded Disturbances

Autor(es)

Mendes, Rafael Santos ^[1] ; Hardouin, Laurent ^[2] ; Lhommeau, Mehdi ^[2]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, FEEC, DCA, BR-13083852 Campinas, SP - Brazil

^[2] Univ Angers, ISTIA, LARIS, F-49000 Angers - France

• Tipo de documento: Artigo Científico
• Fonte: IEEE Transactions on Automatic Control; v. 64, n. 9, p. 3706-3715, SEP 2019.
• Citações Web of Science: 1

Resumo

The objective of this paper is to propose a filtering strategy for max-plus linear systems with bounded disturbances without the direct calculation of the a posteriori state probability. The strategy is based on the inversion of the expectation of the measure with respect to the state variable. Among the possible solutions, the closest to the prediction is chosen. An algorithm, based on interval propagation, is proposed to solve this problem. Simulations are performed to show the consistence of the proposed methodology with other approaches in the literature. (AU)

• Processo FAPESP: 15/19384-9 - Problemas de Observadores, Alcançabilidade e Filtragem Estocástica em Sistemas Max-Plus
• Beneficiário: Rafael Santos Mendes
• Modalidade de apoio: Bolsas no Exterior - Pesquisa