Adaptive Finite‐Time Robust Control of Nonlinear Delay Hamiltonian Systems Via Lyapunov‐Krasovskii Method

Authors

Abstract

This paper investigates the adaptive finite‐time robust control problem of a class of nonlinear time‐delay Hamiltonian systems via the Lyapunov‐Krasovskii (L‐K) method, and proposes some delay‐dependent results on the issue. Different from existing works, this paper first presents a time‐varying finite‐time stability (FTS) criterion via an L‐K functional approach, and obtains two FTS conditions by constructing specific L‐K functionals. Then, the adaptive finite‐time robust control problem is investigated for nonlinear time‐delay port‐controlled Hamiltonian (PCH) systems, and a control design procedure is presented. Finally, the effectiveness of the results is demonstrated by an illustrative example.

Citation

Journal: Asian Journal of Control
Year: 2018
Volume: 20
Issue: 1
Pages: 332–342
Publisher: Wiley
DOI: 10.1002/asjc.1556

BibTeX

@article{Yang_2017,
  title={{Adaptive Finite‐Time Robust Control of Nonlinear Delay Hamiltonian Systems Via Lyapunov‐Krasovskii Method}},
  volume={20},
  ISSN={1934-6093},
  DOI={10.1002/asjc.1556},
  number={1},
  journal={Asian Journal of Control},
  publisher={Wiley},
  author={Yang, Renming and Guo, Rongwei},
  year={2017},
  pages={332--342}
}

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References

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