Explicit port-Hamiltonian formulation of multi-bond graphs for an automated model generation

Authors

Martin Pfeifer, Sven Caspart, Silja Hampel, Charles Muller, Stefan Krebs, Sören Hohmann

Abstract

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 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 an algorithm for the automated generation of an explicit port-Hamiltonian model from a given multi-bond graph. An academic example illustrates the results of this paper.

Keywords

Port-Hamiltonian systems; Bond graphs; Automated modelling; State-space models; Model generation

Citation

• Journal: Automatica
• Year: 2020
• Volume: 120
• Issue:
• Pages: 109121
• Publisher: Elsevier BV
• DOI: 10.1016/j.automatica.2020.109121

BibTeX

@article{Pfeifer_2020,
  title={{Explicit port-Hamiltonian formulation of multi-bond graphs for an automated model generation}},
  volume={120},
  ISSN={0005-1098},
  DOI={10.1016/j.automatica.2020.109121},
  journal={Automatica},
  publisher={Elsevier BV},
  author={Pfeifer, Martin and Caspart, Sven and Hampel, Silja and Muller, Charles and Krebs, Stefan and Hohmann, Sören},
  year={2020},
  pages={109121}
}

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