Finite-time stabilization and \( H^\infty \) control for a class of switched nonlinear port-controlled Hamiltonian systems subject to actuator saturation

Authors

Zi-Ming Wang, Airong Wei, Guangdeng Zong, Xudong Zhao, Hanfeng Li

Abstract

This paper addresses the problems of finite-time stabilization and H ∞ control for a class of switched port-controlled Hamiltonian (SPCH) systems with actuator saturation (AS). By the energy-based multiple Lyapunov functions (MLFs) method and the mode-dependent average dwell time (MDADT) technique, finite-time stability criterion for unforced SPCH systems with all modes finite-time stable is derived. Further, state feedback strategies and truncation inequality technique are employed to achieve finite-time stabilization of SPCH systems with AS, where each unforced subsystem may be finite-time unstable. Besides, a switching state feedback controller is developed to attenuate the external disturbances for SPCH systems with AS and external disturbances, and new criterion is presented to solve the finite-time H ∞ control problem for the augmented system. Finally, numerical examples are provided to show the effectiveness of the proposed methods.

Citation

• Journal: Journal of the Franklin Institute
• Year: 2020
• Volume: 357
• Issue: 16
• Pages: 11807–11829
• Publisher: Elsevier BV
• DOI: 10.1016/j.jfranklin.2019.11.055
• Note: Finite-Time Stability Analysis and Synthesis of Complex Dynamic Systems

BibTeX

@article{Wang_2020,
  title={{Finite-time stabilization and $H^\infty$ control for a class of switched nonlinear port-controlled Hamiltonian systems subject to actuator saturation}},
  volume={357},
  ISSN={0016-0032},
  DOI={10.1016/j.jfranklin.2019.11.055},
  number={16},
  journal={Journal of the Franklin Institute},
  publisher={Elsevier BV},
  author={Wang, Zi-Ming and Wei, Airong and Zong, Guangdeng and Zhao, Xudong and Li, Hanfeng},
  year={2020},
  pages={11807--11829}
}

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