DOAJ Open Access 2023

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

Tim Moser Boris Lohmann

Abstrak

ABSTRACTWe 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.

Penulis (2)

T

Tim Moser

B

Boris Lohmann

Format Sitasi

Moser, T., Lohmann, B. (2023). A Rosenbrock framework for tangential interpolation of port-Hamiltonian descriptor systems. https://doi.org/10.1080/13873954.2023.2209798

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Informasi Jurnal
Tahun Terbit
2023
Sumber Database
DOAJ
DOI
10.1080/13873954.2023.2209798
Akses
Open Access ✓