Abstract
We present a procedure for the parametric order reduction of explicit port-Hamiltonian systems, which extends previous results. The approach is illustrated and discussed on the example of a ladder network.
Zusammenfassung
Wir stellen ein Verfahren zur parametrischen Ordnungsreduktion expliziter Port-Hamiltonscher Systeme vor, das eine bestehende Methode erweitert. Das Vorgehen wird beispielhaft anhand eines Leiternetzwerks veranschaulicht und diskutiert.
Funding source: Agence Nationale de la Recherche
Award Identifier / Grant number: ANR-16-CE92-0028
Award Identifier / Grant number: Lo 408/22-1
Funding statement: This work was supported by the Agence Nationale de la Recherche – Deutsche Forschungsgemeinschaft (ANR-DFG), project INFIDHEM, ID ANR-16-CE92-0028, Lo 408/22-1.
About the authors
Tobias M. Scheuermann received his M. Sc. degree in Mechatronics and Information Technology from Technical University of Munich in 2017. In the same year, he joined the Chair of Automatic Control where he is working on modelling and model order reduction of port-Hamiltonian systems.
Paul Kotyczka is lecturer at the Chair of Automatic Control, Technical University of Munich, where he leads the Energy-based Modeling and Control group. His main fields of research are modeling and structure-preserving numerical methods for port-Hamiltonian systems, as well as nonlinear control design.
Prof. Dr.-Ing. habil. Boris Lohmann heads the Chair of Automatic Control at the Faculty of Mechanical Engineering at the Technical University of Munich. His research interests include control methods development for different system classes, modeling and model reduction as well as applications in mechatronics and automotive.
Acknowledgment
The authors thank Thomas Wolf and Heiko Peuscher for fruitful discussion.
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