Interconnection of irreversible port Hamiltonian systems

Authors

Abstract

This paper shows how the interconnection of two controlled Irreversible port Hamiltonian Systems has to be state and co-state modulated in order to ensure the closed-loop Irreversible port Hamiltonian structure, satisfying the first and second laws of Thermodynamics. It proposes a precise parametrization of this modulation from the open-loop systems structures in order to guarantee the consistency of the closed loop energy and entropy balance equations. The results are illustrated by means of the examples of a heat-exchanger, a gas-piston system and a chemical reaction.

Keywords

Port-Hamiltonian systems; Irreversible thermodynamics; Thermo-mechanical systems; Port-based modeling; State modulated output feedback

Citation

Journal: Automatica
Year: 2024
Volume: 170
Issue:
Pages: 111846
Publisher: Elsevier BV
DOI: 10.1016/j.automatica.2024.111846

BibTeX

@article{Ramirez_2024,
  title={{Interconnection of irreversible port Hamiltonian systems}},
  volume={170},
  ISSN={0005-1098},
  DOI={10.1016/j.automatica.2024.111846},
  journal={Automatica},
  publisher={Elsevier BV},
  author={Ramirez, Hector and Le Gorrec, Yann},
  year={2024},
  pages={111846}
}

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