Finite-time control design for a general class of switched uncertain nonlinear port-Hamiltonian systems

Authors

Yu-Han Liu, Zi-Ming Wang, Xudong Zhao, Xiaodi Li, Xianfu Zhang

Abstract

In this paper, utilizing energy-based multiple Lyapunov functions (EMLFs) analysis tools, we explore the issues concerning finite-time stabilization and finite-time H ∞ control for switched uncertain nonlinear port-Hamiltonian systems (SUNPHSs) under average dwell time (ADT) restrictions. To solve the impact of uncertain terms and relax the structure of EMLFs, the corresponding constraint conditions are adopted, based on which an improved ADT-based switching scheme is developed, and the sufficient criterion is put forward to ensure the finite-time stability (FTS) of SUNPHSs. Subsequently, a mode-dependent switching state feedback (MDSSF) controller is exploited to render the resulting closed-loop SUNPHSs FTS. Moreover, to attenuate disturbances, another MDSSF controller is presented to keep SUNPHSs possessing finite-time H ∞ performance under a new ADT-based switching scheme. Finally, three simulation examples, including a switched nonlinear circuit system, are provided to substantiate the feasibility of the derived finite-time control approaches.

Keywords

average dwell time, energy-based multiple lyapunov functions, finite-time stabilization, finite-time ℋ∞control, switched uncertain nonlinear port-hamiltonian systems

Citation

• Journal: Nonlinear Analysis: Hybrid Systems
• Year: 2026
• Volume: 62
• Issue:
• Pages: 101784
• Publisher: Elsevier BV
• DOI: 10.1016/j.nahs.2026.101784

BibTeX

@article{Liu_2026,
  title={{Finite-time control design for a general class of switched uncertain nonlinear port-Hamiltonian systems}},
  volume={62},
  ISSN={1751-570X},
  DOI={10.1016/j.nahs.2026.101784},
  journal={Nonlinear Analysis: Hybrid Systems},
  publisher={Elsevier BV},
  author={Liu, Yu-Han and Wang, Zi-Ming and Zhao, Xudong and Li, Xiaodi and Zhang, Xianfu},
  year={2026},
  pages={101784}
}

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