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Automated Generation of Explicit Port-Hamiltonian Models from Multi-Bond Graphs

Pfeifer, Martin; Caspart, Sven; Pfeiffer, Silja; Muller, Charles; Krebs, Stefan; Hohmann, Soeren

Abstract (englisch):

Port-Hamiltonian system theory is a well-known framework for the control of complex physical systems. The majority of port-Hamiltonian control design methods base on an \emph{explicit} input-state-output port-Hamiltonian model for the system under consideration. However in the literature, little effort has been made towards a systematic, automatable derivation of such explicit models.
In this paper, we present a constructive, formally rigorous method for an explicit port-Hamiltonian formulation of multi-bond graphs. Two conditions, one necessary and one sufficient, for the existence of an explicit port-Hamiltonian formulation of a multi-bond graph are given. We summarise our approach in a fully automated algorithm of which we provide an exemplary implementation along with this publication. The theoretical and practical results are illustrated through an academic example.

Volltext §
DOI: 10.5445/IR/1000104388
Veröffentlicht am 20.12.2019
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Algebra und Geometrie (IAG)
Institut für Regelungs- und Steuerungssysteme (IRS)
Publikationstyp Forschungsbericht/Preprint
Publikationsjahr 2019
Sprache Englisch
Identifikator KITopen-ID: 1000104388
HGF-Programm 37.06.01 (POF III, LK 01) Networks and Storage Integration
Vorab online veröffentlicht am 06.09.2019
Schlagwörter Port-Hamiltonian systems; bond graphs; automated modelling; state-space models; model generation
Nachgewiesen in arXiv
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