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Communication Dans Un Congrès Année : 2022

System Reduction: An Approach Based on Probabilistic Cellular Automata

Résumé

This paper deals with the structure-preserving discretization and control of a two-dimensional vibro-acoustic tube using the port-Hamiltonian framework. A discretization scheme is proposed, and a set of precise basis functions are given in order to obtain a structure-preserving finite-dimensional port- Hamiltonian approximation of the two-dimensional vibro-acoustic system. Using the closed-loop structural invariants of the approximated system an energy-Casimir controller is derived. The performance of the proposed discretization scheme and the controller is shown by means of numerical simulations.
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Dates et versions

hal-04030922 , version 1 (15-03-2023)

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Pierre-Alain Toupance, Bastien Chopard, Laurent Lefèvre. System Reduction: An Approach Based on Probabilistic Cellular Automata. International Conference on Cellular Automata for Research and Industry ACRI 2022, Sep 2022, Geneva, Switzerland. pp.94-105, ⟨10.1007/978-3-031-14926-9_9⟩. ⟨hal-04030922⟩

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