Authors

C. Chera, A. Nakrachi, G. Dauphin-Tanguy

Abstract

We have already proposed a representation and spatial discretization of line transmission in terms of Bond Graph (Nakrachi, 2003). In this paper, one shows that we preserve the Dirac structure of a distributed parameter system represented in the form of a port-Hamiltonian, after a space discretization. Indeed, the conservation of the Dirac structure was shown only in the conservative case, without dissipation. The study is applied to the case of a transmission line represented by the telegrapher’s equations.

Keywords

approximation, dirac structure, dissipation, distributed systems, telegrapher’s equations

Citation

  • Journal: IFAC Proceedings Volumes
  • Year: 2007
  • Volume: 40
  • Issue: 18
  • Pages: 247–252
  • Publisher: Elsevier BV
  • DOI: 10.3182/20070927-4-ro-3905.00042
  • Note: 4th IFAC Conference on Management and Control of Production and Logistics

BibTeX

@article{Chera_2007,
  title={{APPROXIMATION OF THE TELEGRAPHER’S EQUATIONS WITH DISSIPATION}},
  volume={40},
  ISSN={1474-6670},
  DOI={10.3182/20070927-4-ro-3905.00042},
  number={18},
  journal={IFAC Proceedings Volumes},
  publisher={Elsevier BV},
  author={Chera, C. and Nakrachi, A. and Dauphin-Tanguy, G.},
  year={2007},
  pages={247--252}
}

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References