On the effects of desired damping matrix and desired Hamiltonian function in the matching equation for Port–Hamiltonian systems

Authors

Abstract

This paper investigates the effects of desired damping matrix and desired Hamiltonian function in the matching equation for Port–Hamiltonian (PH) systems. Once the desired Hamiltonian function is chosen, if the desired damping matrix is large enough, the convergence speed of the control law asymptotically stabilizing the PH system works more quickly. On the other hand, the desired Hamiltonian function can be replaced by a new desired energy function, which is also effective in energy-shaping. Finally, a three-phase synchronous generator example is given to show the correctness of the above contents.

Keywords

Port–Hamiltonian systems; Desired damping matrix; Matching equations; Convergence speed

Citation

Journal: Nonlinear Dynamics
Year: 2013
Volume: 72
Issue: 1-2
Pages: 91–99
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/s11071-012-0693-7

BibTeX

@article{Cai_2012,
  title={{On the effects of desired damping matrix and desired Hamiltonian function in the matching equation for Port–Hamiltonian systems}},
  volume={72},
  ISSN={1573-269X},
  DOI={10.1007/s11071-012-0693-7},
  number={1–2},
  journal={Nonlinear Dynamics},
  publisher={Springer Science and Business Media LLC},
  author={Cai, Liangcheng and He, Yong and Wu, Min},
  year={2012},
  pages={91--99}
}

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References

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