Identification of port-Hamiltonian systems from frequency response data

Benner, Peter;Goyal, Pawan;Van Dooren, Paul
(2020) Systems & Control Letters — Vol. 143, p. 104741 (2020)

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Authors
  • Benner, PeterMax Planck Institute for Dynamics of Complex Technical Systems, Germany
    Author
  • Goyal, Pawanorcid-logoMax Planck Institute for Dynamics of Complex Technical Systems, Germany
    Author
  • Van Dooren, PaulUCLouvain
    Author
Abstract
In this paper, we study the identification problem of strictly passive systems from frequency response data. We present a simple construction approach based on the Mayo–Antoulas generalized realization theory that automatically yields a port-Hamiltonian realization for every strictly passive system with simple spectral zeros. Furthermore, we discuss the construction of a frequency-limited port-Hamiltonian realization. We illustrate the proposed method by means of several examples.
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Citations

Benner, P., Goyal, P., & Van Dooren, P. (2020). Identification of port-Hamiltonian systems from frequency response data. Systems & Control Letters, 143, 104741. https://doi.org/10.1016/j.sysconle.2020.104741 (Original work published 2020)