Data-driven identification of a 2D wave equation model with port-Hamiltonian structure

11/29/2022

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by   Charles Poussot-Vassal, et al.

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We consider a two-dimensional wave equation, for which the discretized version preserves the passive port-Hamiltoninan form. In this work, we detail a procedure to construct a reduced order model of this use-case, on the basis of frequency-domain data, that preserves the passivity property and the port-Hamiltonian structure. The proposed scheme is based on Benner et al. contribution, which has been adapted to handle non-strictly passive model, and to handle numerical issues observed when applying the Loewner framework on such a complex configuration.