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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.

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

Volltext §
DOI: 10.5445/IR/1000104388
Veröffentlicht am 20.12.2019
Seitenaufrufe: 277
seit 20.12.2019
Downloads: 251
seit 29.12.2019
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