Irreversible port Hamiltonian systems

Authors

Héctor Ramirez, Bernhard Maschke, Daniel Sbarbaro

Abstract

A class of quasi port Hamiltonian system expressing the first and second principle of thermodynamic as a structural property is defined, namely Irreversible PHS. The IPHS is defined by: a generating function that for physical systems corresponds to the total energy; a constant skew-symmetric structure matrix that represents the network structure of the system; a non-linear function that depends on the states and co-states and on the Poisson bracket of the generating function and some entropy function. For physical systems this Poisson bracket defines the thermodynamic driving force. The IPHS is completed with input and output ports. IPHS encompasses a large set of thermodynamic systems, including heat exchangers and chemical reactors. The non-isothermal CSTR is used to illustrate the formalism.

Keywords

Irreversible port Hamiltonian systems; Quasi Hamiltonian system; Irreversible thermodynamics; CSTR; Process control

Citation

• Journal: IFAC Proceedings Volumes
• Year: 2012
• Volume: 45
• Issue: 19
• Pages: 13–18
• Publisher: Elsevier BV
• DOI: 10.3182/20120829-3-it-4022.00014
• Note: 4th IFAC Workshop on Lagrangian and Hamiltonian Methods for Non Linear Control

BibTeX

@article{Ramirez_2012,
  title={{Irreversible port Hamiltonian systems}},
  volume={45},
  ISSN={1474-6670},
  DOI={10.3182/20120829-3-it-4022.00014},
  number={19},
  journal={IFAC Proceedings Volumes},
  publisher={Elsevier BV},
  author={Ramirez, Héctor and Maschke, Bernhard and Sbarbaro, Daniel},
  year={2012},
  pages={13--18}
}

Download the bib file

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