Boundary controlled irreversible port-Hamiltonian systems

Authors

Hector Ramirez, Yann Le Gorrec, Bernhard Maschke

Abstract

Boundary controlled irreversible port-Hamiltonian systems (BC-IPHS) defined on a 1-dimensional spatial domain are defined by extending the formulation of reversible BC-PHS to irreversible thermodynamic systems controlled at the boundaries of their spatial domain. The structure of BC-IPHS has clear physical interpretation, characterizing the coupling between energy storing and energy dissipating elements. By extending the definition of boundary port variables of BC-PHS to deal with the irreversible energy dissipation, a set of boundary port variables are defined such that BC-IPHS are passive with respect to a given set of conjugated inputs and outputs. As for finite dimensional IPHS, the first and second laws of Thermodynamics are satisfied as a structural property of the system. Several examples are given to illustrate the proposed approach.

Keywords

Port-Hamiltonian systems; Irreversible thermodynamics; Infinite dimensional systems

Citation

• Journal: Chemical Engineering Science
• Year: 2022
• Volume: 248
• Issue:
• Pages: 117107
• Publisher: Elsevier BV
• DOI: 10.1016/j.ces.2021.117107

BibTeX

@article{Ramirez_2022,
  title={{Boundary controlled irreversible port-Hamiltonian systems}},
  volume={248},
  ISSN={0009-2509},
  DOI={10.1016/j.ces.2021.117107},
  journal={Chemical Engineering Science},
  publisher={Elsevier BV},
  author={Ramirez, Hector and Gorrec, Yann Le and Maschke, Bernhard},
  year={2022},
  pages={117107}
}

Download the bib file

References

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