Port-Hamiltonian systems with energy and power ports

Kaja Krhač*, Bernhard Maschke, Arjan van der Schaft

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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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.

Original languageEnglish
Title of host publication8th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control,
PublisherElsevier
Pages280-285
Number of pages6
DOIs
Publication statusPublished - 1-Jun-2024
Event8th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, LHMNC 2024 - Besancon, France
Duration: 10-Jun-202412-Jun-2024

Publication series

NameIFAC-PapersOnLine
PublisherElsevier
Number6
Volume58
ISSN (Print)2405-8971

Conference

Conference8th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, LHMNC 2024
Country/TerritoryFrance
CityBesancon
Period10/06/202412/06/2024

Keywords

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

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