Control design for switched port-controlled Hamiltonian systems with unstabilizable modes: An improved mode-dependent average dwell time scheme

Authors

Zi-Ming Wang, Airong Wei, Xudong Zhao, Rui Mu, Xianfu Zhang

Abstract

In this paper, the stabilization and H ∞ control are considered for switched port-controlled Hamiltonian systems (SPCHSs) with unstabilizable modes via energy-based multiple Lyapunov functions (MLFs) methods and mode-dependent average dwell time (MDADT) strategies, where an improved MDADT-based tradeoff method is developed by a time subsequence technique to govern the running time of the asymptotic stabilization modes and the other ones. Firstly, based on the mode-dependent state feedback controllers, stabilization conditions are derived for SPCHSs with unstabilizable modes under a new MDADT scheme. Secondly, for the case that there are external disturbances for the system, the mode-dependent H ∞ controllers are designed to attenuate external disturbances, besides, H ∞ control conditions are achieved for the system by the energy-based MLFs method with the designed MDADT scheme. Finally, two simulation examples are presented to demonstrate the effectiveness of the proposed methods.

Keywords

Switched port-controlled Hamiltonian systems; Energy-based multiple Lyapunov functions; Mode-dependent average dwell time; Stabilization; \( H^\infty \)-control

Citation

• Journal: Nonlinear Analysis: Hybrid Systems
• Year: 2020
• Volume: 38
• Issue:
• Pages: 100944
• Publisher: Elsevier BV
• DOI: 10.1016/j.nahs.2020.100944

BibTeX

@article{Wang_2020,
  title={{Control design for switched port-controlled Hamiltonian systems with unstabilizable modes: An improved mode-dependent average dwell time scheme}},
  volume={38},
  ISSN={1751-570X},
  DOI={10.1016/j.nahs.2020.100944},
  journal={Nonlinear Analysis: Hybrid Systems},
  publisher={Elsevier BV},
  author={Wang, Zi-Ming and Wei, Airong and Zhao, Xudong and Mu, Rui and Zhang, Xianfu},
  year={2020},
  pages={100944}
}

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