Structure-Preserving Identification of Port-Hamiltonian Systems—A Sensitivity-Based Approach

Authors

Michael Günther, Birgit Jacob, Claudia Totzeck

Abstract

We present a gradient-based calibration algorithm to identify a port-Hamiltonian system from given time-domain input-output data. The gradient is computed with the help of sensitivities and the algorithm is tailored such that the structure of the system matrices of the port-Hamiltonian system (skew-symmetry and positive semi-definitness) is preserved in each iteration of the algorithm. As we only require input-output data, we need to calibrate the initial condition of the internal state of the port-Hamiltonian system as well. Numerical results with synthetic data show the feasibility of the approach.

Citation

• ISBN: 9783031545160
• Publisher: Springer Nature Switzerland
• DOI: 10.1007/978-3-031-54517-7_19
• Note: International Conference on Scientific Computing in Electrical Engineering

BibTeX

@inbook{G_nther_2024,
  title={{Structure-Preserving Identification of Port-Hamiltonian Systems—A Sensitivity-Based Approach}},
  ISBN={9783031545177},
  ISSN={2198-3283},
  DOI={10.1007/978-3-031-54517-7_19},
  booktitle={{Scientific Computing in Electrical Engineering}},
  publisher={Springer Nature Switzerland},
  author={Günther, Michael and Jacob, Birgit and Totzeck, Claudia},
  year={2024},
  pages={167--174}
}

Download the bib file

References

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