Structure-preserving discretization and control of a two-dimensional vibro-acoustic tube
Résumé
This paper deals with the structure-preserving discretization and control of a 2D vibro-acoustic tube using the port-Hamiltonian framework. A discretization scheme is proposed and a set of precise weighting functions are given in order to obtain a structure preserving finite dimensional port-Hamiltonian approximation of the 2D vibro-acoustic system. Using the closed-loop structural invariants of the approximated system an energy-Casmir controller is derived. The performance of the proposed discretizetion scheme and the controller is shown by means of numerical simulations.
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