Data-driven port-Hamiltonian structured identification for non-strictly passive systems

In this work, we detail a procedure to construct a reduced order model on the basis of frequency-domain data, that preserves the non-strictly passive property and the port-Hamiltonian structure. The proposed scheme is based on Benner et al. contribution (2020), which has been adapted (i) to handle non-strictly passive model, and (ii) to handle numerical issues observed when applying the Loewner framework on complex configurations. We validate the proposed scheme on a very complex two-dimensional wave equation, for which the discretized version preserves the port-Hamiltoninan form.

To cite this paper:
Poussot-Vassal Charles, Matignon Denis, Haine Ghislain, Vuillemin Pierre (2023) Data-driven port-Hamiltonian structured identification for non-strictly passive systems. In the proceedings of the 2023 European Control Conference; 1785–1790. Bucharest, Romania.

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