A behavioural approach to port-controlled systems

Authors

Jonas Kirchhoff

Abstract

We give insight in the structure of port-Hamiltonian systems as control systems in between two closed Hamiltonian systems. Using the language of category theory, we identify systems with their behavioural representation and view a port-control structure with desired structural properties on a given closed system as an extension of this system which itself may be embedded in a “larger” closed system. The latter system describes the nature of the ports (e.g. Hamiltonian, metriplectic etc.). This point of view allows us to describe meaningful port-control structures for a large family of systems, which is illustrated with Hamiltonian and metriplectic systems.

Keywords

port-Hamiltonian systems; metriplectic system; behavioural theory; categorical systems theory

Citation

• Journal: IFAC-PapersOnLine
• Year: 2024
• Volume: 58
• Issue: 21
• Pages: 244–249
• Publisher: Elsevier BV
• DOI: 10.1016/j.ifacol.2024.10.220
• Note: 4th IFAC Conference on Modelling, Identification and Control of Nonlinear Systems MICNON 2024- Lyon, France, September 4-6, 2024

BibTeX

@article{Kirchhoff_2024,
  title={{A behavioural approach to port-controlled systems}},
  volume={58},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2024.10.220},
  number={21},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Kirchhoff, Jonas},
  year={2024},
  pages={244--249}
}

Download the bib file

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