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Global prescribed-time control for a class of fully actuated nonlinear systems

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  • Pengju Ning
  • Changchun Hua
  • Hao Li

Abstract

This paper addresses the prescribed-time stabilisation problem for a class of fully actuated nonlinear systems by utilising a unique prescribed-time adjustment function and a solution-parameter Lyapunov function. We introduce a control scheme that is tailored for these systems and offers simplicity and streamlined design compared to backstepping-based methods. Furthermore, we develop an adaptive control strategy for systems with uncertain parameters, introducing a time-varying adaptive controller that ensures stability within a predetermined timeframe. We validate the effectiveness of our approach through two simulation examples.

Suggested Citation

  • Pengju Ning & Changchun Hua & Hao Li, 2025. "Global prescribed-time control for a class of fully actuated nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 56(13), pages 3146-3155, October.
    • Handle: RePEc:taf:tsysxx:v:56:y:2025:i:13:p:3146-3155
    DOI: 10.1080/00207721.2025.2505713
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