Fixed-time stabilization control for port-Hamiltonian systems

Authors

Xinggui Liu, Xiaofeng Liao

Abstract

In this paper, the locally fixed-time and globally fixed-time stabilization problems for the port-Hamiltonian (PH) systems via the interconnection and damping assignment passivity-based control technique are discussed. The definitions of fixed-time stability region (or region of attraction) and fixed-time stability boundary are given in this paper. From this starting point, the sufficient condition of globally fixed-time attractivity of a prespecified locally fixed-time stability region is obtained. Combining the locally fixed-time stability and the globally fixed-time attractivity of a prespecified locally fixed-time stability region, the globally fixed-time stabilization problem for PH system is effectively solved. Furthermore, the globally fixed-time control scheme independent of locally fixed-time stability region has also been derived by constructing a novel Lyapunov function. A illustrative example shows that the results obtained in this paper work very well in fixed-time control design of PH systems.

Keywords

Fixed-time stability region; Port-Hamiltonian systems; Fixed-time attractivity; Stability boundary at infinity

Citation

• Journal: Nonlinear Dynamics
• Year: 2019
• Volume: 96
• Issue: 2
• Pages: 1497–1509
• Publisher: Springer Science and Business Media LLC
• DOI: 10.1007/s11071-019-04867-0

BibTeX

@article{Liu_2019,
  title={{Fixed-time stabilization control for port-Hamiltonian systems}},
  volume={96},
  ISSN={1573-269X},
  DOI={10.1007/s11071-019-04867-0},
  number={2},
  journal={Nonlinear Dynamics},
  publisher={Springer Science and Business Media LLC},
  author={Liu, Xinggui and Liao, Xiaofeng},
  year={2019},
  pages={1497--1509}
}

Download the bib file

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