Port-Hamiltonian representation of metriplectic systems and their interconnection

Authors

Jonas Kirchhoff, Bernhard Maschke

Abstract

We study port-control for metriplectic systems. Using the well-known representation of metriplectic systems as dissipative Hamiltonian systems with the exergy as Hamiltonian function, the corresponding port-controlled Hamiltonian systems are considered as exergy-controlled metriplectic systems. The applicability of the machinery of port-Hamiltonian systems theory, in particular interconnection of exergy controlled metriplectic systems, is studied.

Keywords

dissipative systems, metriplectic systems, port hamiltonian systems

Citation

• Journal: IFAC-PapersOnLine
• Year: 2025
• Volume: 59
• Issue: 19
• Pages: 526–531
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2025.11.088
• Note: 13th IFAC Symposium on Nonlinear Control Systems NOLCOS 2025- Reykjavík, Iceland, July 23-25, 2025

BibTeX

@article{Kirchhoff_2025,
  title={{Port-Hamiltonian representation of metriplectic systems and their interconnection}},
  volume={59},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2025.11.088},
  number={19},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Kirchhoff, Jonas and Maschke, Bernhard},
  year={2025},
  pages={526--531}
}

Download the bib file

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