Finite-time stabilization and H∞ control of Port-controlled Hamiltonian systems with disturbances and saturation

Authors

Baozeng Fu, Qingzhi Wang, Ping Li

Abstract

The finite-time stabilization and finite-timeH∞control problems of Port-controlled Hamiltonian (PCH) systems with disturbances and input saturation (IS) are studied in this paper. First, by designing an appropriate output feedback, a strictly dissipative PCH system is obtained and finite-time stabilization result for nominal system is given. Second, with the help of the Hamilton function method and truncation inequality technique, a novel output feedback controller is developed to make the PCH system finite-time stable when IS occurs. Further, a finite-timeH∞controller is designed to attenuate disturbances for PCH systems with IS, and sufficient conditions are presented. Finally, a numerical example and a circuit example are given to reveal the feasibility of the obtained theoretical results.

Citation

• Journal: PLOS ONE
• Year: 2021
• Volume: 16
• Issue: 8
• Pages: e0255797
• Publisher: Public Library of Science (PLoS)
• DOI: 10.1371/journal.pone.0255797

BibTeX

@article{Fu_2021,
  title={{Finite-time stabilization and H∞ control of Port-controlled Hamiltonian systems with disturbances and saturation}},
  volume={16},
  ISSN={1932-6203},
  DOI={10.1371/journal.pone.0255797},
  number={8},
  journal={PLOS ONE},
  publisher={Public Library of Science (PLoS)},
  author={Fu, Baozeng and Wang, Qingzhi and Li, Ping},
  editor={Zhu, Yanzheng},
  year={2021},
  pages={e0255797}
}

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