Authors

Guido Blankenstein

Abstract

In this paper the method of power shaping, as recently introduced for the stabilization of non-linear RLC circuits, is generalized to a larger class of systems showing similarities (and important differences) with the class of port-controlled Hamiltonian systems. Other than for port-controlled Hamiltonian systems, the stabilization of these new systems is not stymied by a ‘dissipation obstacle’ and, in fact, every power-shaping controller is power balancing as well. It is shown that the power-shaping controller can be realized as a port-controlled Hamiltonian system connected by means of a gyrator to the plant. The theoretical results are applied to the class of non-linear RLC circuits described by Brayton–Moser’s equations, and a physical implementation of the controllers in terms of standard electrical circuit elements is given.

Citation

  • Journal: International Journal of Control
  • Year: 2005
  • Volume: 78
  • Issue: 3
  • Pages: 159–171
  • Publisher: Informa UK Limited
  • DOI: 10.1080/00207170500036191

BibTeX

@article{Blankenstein_2005,
  title={{Power balancing for a new class of non-linear systems and stabilization of RLC circuits}},
  volume={78},
  ISSN={1366-5820},
  DOI={10.1080/00207170500036191},
  number={3},
  journal={International Journal of Control},
  publisher={Informa UK Limited},
  author={Blankenstein, Guido},
  year={2005},
  pages={159--171}
}

Download the bib file

References

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