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

Authors

Charles Poussot-Vassal, Denis Matignon, Ghilslain Haine, Pierre Vuillemin

Abstract

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 [1], 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.

Citation

• Journal: 2023 European Control Conference (ECC)
• Year: 2023
• Volume:
• Issue:
• Pages: 1–6
• Publisher: IEEE
• DOI: 10.23919/ecc57647.2023.10178249

BibTeX

@inproceedings{Poussot_Vassal_2023,
  title={{Data-driven port-Hamiltonian structured identification for non-strictly passive systems}},
  DOI={10.23919/ecc57647.2023.10178249},
  booktitle={{2023 European Control Conference (ECC)}},
  publisher={IEEE},
  author={Poussot-Vassal, Charles and Matignon, Denis and Haine, Ghilslain and Vuillemin, Pierre},
  year={2023},
  pages={1--6}
}

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References

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