Authors

Dina Shona Laila, Alessandro Astolfi

Abstract

In this paper we present some preliminary results on the stabilization problem for Hamiltonian systems using approximate discrete-time models. The issues of constructing a discrete-time model for Hamiltonian system are in general different from those for dissipative systems. We propose an algorithm for constructing an approximate discrete-time model, which guarantees the Hamiltonian conservation, and apply the algorithm to a class of port-controlled Hamiltonian systems. We illustrate the usefulness of the algorithm in designing a discrete-time controller to stabilize the angular velocity of a rigid body.

Keywords

conservation, discrete-time systems, hamiltonian systems, nonlinear systems, stabilization

Citation

  • Journal: IFAC Proceedings Volumes
  • Year: 2004
  • Volume: 37
  • Issue: 13
  • Pages: 967–972
  • Publisher: Elsevier BV
  • DOI: 10.1016/s1474-6670(17)31351-4
  • Note: 6th IFAC Symposium on Nonlinear Control Systems 2004 (NOLCOS 2004), Stuttgart, Germany, 1-3 September, 2004

BibTeX

@article{Laila_2004,
  title={{A note on discrete-time stabilization of hamiltonian systems}},
  volume={37},
  ISSN={1474-6670},
  DOI={10.1016/s1474-6670(17)31351-4},
  number={13},
  journal={IFAC Proceedings Volumes},
  publisher={Elsevier BV},
  author={Laila, Dina Shona and Astolfi, Alessandro},
  year={2004},
  pages={967--972}
}

Download the bib file

References

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