Finite-time adaptive control for uncertain switched port-controlled Hamiltonian systems

Authors

Zi-Ming Wang, Xudong Zhao, Xiaodi Li, Airong Wei

Abstract

In this paper, the finite-time boundedness (FTB) and H ∞ control are discussed for a class of uncertain switched port-controlled Hamiltonian (PCH) systems via adaptive control strategies. In view of the mode-dependent matching principle, the energy-based multiple Lyapunov functions method and the mode-dependent average dwell time (MDADT) approach, sufficient conditions on the FTB are obtained for uncertain switched PCH systems by employing a set of adaptive mode-dependent state feedback controllers. Furthermore, to solve the finite-time H ∞ control for the system under consideration, a new set of mode-dependent state feedback controllers are designed to restrain both the structured uncertainties and disturbances, and sufficient conditions on the H ∞ control problem are derived for the system under a new MDADT scheme. Finally, the numerical simulations are presented to illustrate the effectiveness of the proposed finite-time adaptive control methods.

Keywords

Uncertain switched port-controlled Hamiltonian systems; Energy-based multiple Lyapunov functions; Mode-dependent average dwell time; Finite-time adaptive control

Citation

• Journal: Communications in Nonlinear Science and Numerical Simulation
• Year: 2023
• Volume: 119
• Issue:
• Pages: 107129
• Publisher: Elsevier BV
• DOI: 10.1016/j.cnsns.2023.107129

BibTeX

@article{Wang_2023,
  title={{Finite-time adaptive control for uncertain switched port-controlled Hamiltonian systems}},
  volume={119},
  ISSN={1007-5704},
  DOI={10.1016/j.cnsns.2023.107129},
  journal={Communications in Nonlinear Science and Numerical Simulation},
  publisher={Elsevier BV},
  author={Wang, Zi-Ming and Zhao, Xudong and Li, Xiaodi and Wei, Airong},
  year={2023},
  pages={107129}
}

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