Fixed-time stabilization and H∞ control of time-delay port-controlled Hamiltonian systems

Authors

Yufei Chen, Qihuai Liu

Abstract

In this paper, we investigate the fixed-time stability (FxTS) and fixed-time H ∞ control design of time-delay port-controlled Hamiltonian (PCH) systems. Firstly, we establish an improved FxTS criterion. Secondly, by utilizing this criterion and interconnection and damping assignment passivity-based (IDA-PBC) technique, two new FxTS results are given for PCH systems with the assumption about Hamiltonian functions. Then, a fixed-time H ∞ control design procedure is presented by using a new Lyapunov–Krasovskii (L-K) functional. Finally, the forced mathematical pendulum model with a constant time-delay shows the effectiveness of our results.

Keywords

fixed-time stability, h ∞ control, l-k functional method, port-controlled hamiltonian

Citation

• Journal: European Journal of Control
• Year: 2024
• Volume: 77
• Issue:
• Pages: 100996
• Publisher: Elsevier BV
• DOI: 10.1016/j.ejcon.2024.100996

BibTeX

@article{Chen_2024,
  title={{Fixed-time stabilization and H∞ control of time-delay port-controlled Hamiltonian systems}},
  volume={77},
  ISSN={0947-3580},
  DOI={10.1016/j.ejcon.2024.100996},
  journal={European Journal of Control},
  publisher={Elsevier BV},
  author={Chen, Yufei and Liu, Qihuai},
  year={2024},
  pages={100996}
}

Download the bib file

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