Stabilization analysis of time-varying Hamiltonian systems with input delay

Authors

Abstract

The stabilization problem of time-varying port-controlled Hamiltonian (PCH) systems with input delay is addressed in this paper. Based on energy-shaping approach and using Lyapunov-Krasovskii (L-K) functional theorem, a feedback controller is proposed for the asymptotical stability of the closed-loop system in presence of delay. Like Casimir function is proposed to help shaping the Hamiltonian as a candidate of Lyapunov function in the extended systems. A numerical example is presented to illustrate the effectiveness of the results obtained in this paper.

Citation

Journal: Proceedings of the 33rd Chinese Control Conference
Year: 2014
Volume:
Issue:
Pages: 6124–6129
Publisher: IEEE
DOI: 10.1109/chicc.2014.6895992

BibTeX

@inproceedings{Sun_2014,
  title={{Stabilization analysis of time-varying Hamiltonian systems with input delay}},
  DOI={10.1109/chicc.2014.6895992},
  booktitle={{Proceedings of the 33rd Chinese Control Conference}},
  publisher={IEEE},
  author={Sun, Weiwei and Fu, Baozeng},
  year={2014},
  pages={6124--6129}
}

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References

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