Stability analysis and control design based on average dwell time approaches for switched nonlinear port-controlled Hamiltonian systems

Authors

Zi-Ming Wang, Airong Wei, Xianfu Zhang

Abstract

This paper addresses the problems of the stability, stabilization and H ∞ control for switched port-controlled Hamiltonian (SPCH) systems. For unforced SPCH systems, via energy-based multiple Lyapunov functions methods, sufficient conditions of both exponential stability and asymptotical stability are obtained under arbitrary switching signals with an average dwell time scheme. Then, based on the state feedback, a switching controller is designed to stabilize SPCH systems, and a switching H ∞ controller is presented to attenuate the external disturbances for SPCH systems, while SPCH systems are subject to actuator saturation, the stabilization and H ∞ control are investigated and the truncation-inequality method is employed to deal with the saturation. Finally, two numerical simulation examples are provided to verify the effectiveness of the proposed methods.

Citation

• Journal: Journal of the Franklin Institute
• Year: 2019
• Volume: 356
• Issue: 6
• Pages: 3368–3397
• Publisher: Elsevier BV
• DOI: 10.1016/j.jfranklin.2019.02.024

BibTeX

@article{Wang_2019,
  title={{Stability analysis and control design based on average dwell time approaches for switched nonlinear port-controlled Hamiltonian systems}},
  volume={356},
  ISSN={0016-0032},
  DOI={10.1016/j.jfranklin.2019.02.024},
  number={6},
  journal={Journal of the Franklin Institute},
  publisher={Elsevier BV},
  author={Wang, Zi-Ming and Wei, Airong and Zhang, Xianfu},
  year={2019},
  pages={3368--3397}
}

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