FROM CONSERVATION LAWS TO PORT-HAMILTONIAN REPRESENTATIONS OF DISTRIBUTED-PARAMETER SYSTEMS

Authors

Abstract

In this paper it is shown how the port-Hamiltonian formulation of distributed-parameter systems is closely related to the general thermodynamic framework of systems of conservation laws and closure equations. The situation turns out to be similar to the lumped-parameter case where the Dirac structure captures the basic interconnection laws, and the closure equations correspond to the constitutive relations of the energy-storing elements.

Keywords

Interconnected systems; modeling; energy storage; geometric theory

Citation

Journal: IFAC Proceedings Volumes
Year: 2005
Volume: 38
Issue: 1
Pages: 483–488
Publisher: Elsevier BV
DOI: 10.3182/20050703-6-cz-1902.00735
Note: 16th IFAC World Congress

BibTeX

@article{Maschke_2005,
  title={{FROM CONSERVATION LAWS TO PORT-HAMILTONIAN REPRESENTATIONS OF DISTRIBUTED-PARAMETER SYSTEMS}},
  volume={38},
  ISSN={1474-6670},
  DOI={10.3182/20050703-6-cz-1902.00735},
  number={1},
  journal={IFAC Proceedings Volumes},
  publisher={Elsevier BV},
  author={Maschke, B.M. and van der Schaft, A.J.},
  year={2005},
  pages={483--488}
}

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References

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