Authors

B.M. Maschke, A.J. van der Schaft

Abstract

It is shown that the network representation (as obtained through the generalized bond graph formalism) of non-resistive physical systems in interaction with their environment leads to a well- defined class of (nonlinear) control systems, called port-controlled Hamiltonian systems. A first basic feature of these systems is that their internal dynamics is Hamiltonian with respect to a Poisson structure determined by the topology of the network and to a Hamiltonian given by the stored energy. Secondly the network representation provides automatically (intrinsically to the notation) to every port-control variable (input) a port-conjugated variable as output. This definition of port-conjugated input and output variables, based on energy considerations, is shown to have important consequences for the observability and controllability properties, as well as the external characterization of port- controlled Hamiltonian systems.

Keywords

Network dynamics; general Poisson structures; gyrators; Hamiltonian equations; observation space; minimal realizations

Citation

  • Journal: IFAC Proceedings Volumes
  • Year: 1992
  • Volume: 25
  • Issue: 13
  • Pages: 359–365
  • Publisher: Elsevier BV
  • DOI: 10.1016/s1474-6670(17)52308-3
  • Note: 2nd IFAC Symposium on Nonlinear Control Systems Design 1992, Bordeaux, France, 24-26 June

BibTeX

@article{Maschke_1992,
  title={{Port-Controlled Hamiltonian Systems: Modelling Origins and Systemtheoretic Properties}},
  volume={25},
  ISSN={1474-6670},
  DOI={10.1016/s1474-6670(17)52308-3},
  number={13},
  journal={IFAC Proceedings Volumes},
  publisher={Elsevier BV},
  author={Maschke, B.M. and van der Schaft, A.J.},
  year={1992},
  pages={359--365}
}

Download the bib file

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