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

Tim Moser and Boris Lohmann

Mathematical and Computer Modelling of Dynamical Systems, 2023, vol. 29, issue 1, 210-235

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.

Date: 2023
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DOI: 10.1080/13873954.2023.2209798

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