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Stochastic Filtering of Max-plus Linear Systems with Bounded Disturbances

Rafael Santos-Mendes 1 Laurent Hardouin 2 Mehdi Lhommeau 2
1 School of Electrical and Computer Engineering, UNICAMP
2 LARIS - Laboratoire Angevin de Recherche en Ingénierie des Systèmes
Abstract : The objective of this work 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.
Keywords : Stochastic Filtering state estimation Observer Discrete Event Dynamics Systems Idempotent semiring Max-plus algebra
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https://hal.univ-angers.fr/hal-02528004
Contributeur : Okina Université d'Angers <>
Soumis le : mercredi 1 avril 2020 - 15:44:32
Dernière modification le : mercredi 8 avril 2020 - 14:11:29

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UNIV-ANGERS | LARIS

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Rafael Santos-Mendes, Laurent Hardouin, Mehdi Lhommeau. Stochastic Filtering of Max-plus Linear Systems with Bounded Disturbances. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2019, 64 (9), pp.3706-3715. ⟨10.1109/TAC.2018.2887353⟩. ⟨hal-02528004⟩

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