A Rosenbrock framework for tangential interpolation of port-Hamiltonian descriptor systems

Authors

Tim Moser, Boris Lohmann

Abstract

ABSTRACT We present a new structure-preserving model order reduction (MOR) framework for large-scale port-Hamiltonian descriptor systems (pH-DAEs). Our method exploits the structural properties of the Rosenbrock system matrix for this system class and utilizes condensed forms which often arise in applications and reveal the solution behaviour of a system. Provided that the original system has such a form, our method produces reduced-order models (ROMs) of minimal dimension, which tangentially interpolate the original model’s transfer function and are guaranteed to be again in pH-DAE form. This allows the ROM to be safely coupled with other dynamical systems when modelling large system networks, which is useful, for instance, in electric circuit simulation.

Citation

• Journal: Mathematical and Computer Modelling of Dynamical Systems
• Year: 2023
• Volume: 29
• Issue: 1
• Pages: 210–235
• Publisher: Informa UK Limited
• DOI: 10.1080/13873954.2023.2209798

BibTeX

@article{Moser_2023,
  title={{A Rosenbrock framework for tangential interpolation of port-Hamiltonian descriptor systems}},
  volume={29},
  ISSN={1744-5051},
  DOI={10.1080/13873954.2023.2209798},
  number={1},
  journal={Mathematical and Computer Modelling of Dynamical Systems},
  publisher={Informa UK Limited},
  author={Moser, Tim and Lohmann, Boris},
  year={2023},
  pages={210--235}
}

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References

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