Port-Hamiltonian systems with energy and power ports

Authors

Kaja Krhač, Bernhard Maschke, Arjan van der Schaft

Abstract

We extend the port-Hamiltonian framework defined with respect to a Lagrangian submanifold and a Dirac structure by augmenting the Lagrangian submanifold with the space of external variables. The new pair of conjugated variables is called energy port. We show that in the most general case, the extension describes constrained Hamiltonian systems whose Hamiltonian function depends on inputs.

Keywords

Port-Hamiltonian systems; constrained Hamiltonian systems; input-output systems; Morse families; Lagrangian submanifolds

Citation

• Journal: IFAC-PapersOnLine
• Year: 2024
• Volume: 58
• Issue: 6
• Pages: 280–285
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2024.08.294
• Note: 8th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2024- Besançon, France, June 10 – 12, 2024

BibTeX

@article{Krha__2024,
  title={{Port-Hamiltonian systems with energy and power ports}},
  volume={58},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2024.08.294},
  number={6},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Krhač, Kaja and Maschke, Bernhard and van der Schaft, Arjan},
  year={2024},
  pages={280--285}
}

Download the bib file

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