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

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  • Tim Moser
  • Boris Lohmann

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.

Suggested Citation

  • Tim Moser & Boris Lohmann, 2023. "A Rosenbrock framework for tangential interpolation of port-Hamiltonian descriptor systems," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 29(1), pages 210-235, December.
    • Handle: RePEc:taf:nmcmxx:v:29:y:2023:i:1:p:210-235
    DOI: 10.1080/13873954.2023.2209798
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