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Adaptive Approximate Predefined-Time Guaranteed Performance Control of Uncertain Spacecraft

Author

Listed:
  • Liangmou Hu

    (Xi’an Key Laboratory of Intelligence, Xi’an Technological University, Xi’an 710021, China)

  • Zeng Wang

    (Xi’an Key Laboratory of Intelligence, Xi’an Technological University, Xi’an 710021, China)

  • Changrui Chen

    (Xi’an Key Laboratory of Intelligence, Xi’an Technological University, Xi’an 710021, China)

  • Heng Yue

    (Xi’an Key Laboratory of Intelligence, Xi’an Technological University, Xi’an 710021, China)

Abstract

This brief tackles the predefined-time attitude tracking problem with guaranteed performance for rigid spacecraft subject to uncertain inertia, external disturbances, and actuator partial failure. Firstly, a nonlinear prescribed performance function (NPPF) is constructed, and a non-singular predefined-time terminal sliding mode (NPTSM) surface integrating with the NPPF is introduced. Secondly, adaptive non-singular predefined-time guaranteed performance control (ANPTGPC) is designed to tackle the robust attitude tracking problem of rigid spacecraft with predefined-time stability. It is proven that attitude tracking errors can be constrained in the preset tracking performance bound within predefined time. They tend to a small region centered around zero in predefined time and then converge to zero asymptotically. Features of the proposed ANPTGPC include an absence of a model, nonsingularity, predefined-time stability with performance quantified, fast transience, and high steady-state accuracy. Numerical simulation results validate the effectiveness and improved performance of the proposed approach.

Suggested Citation

  • Liangmou Hu & Zeng Wang & Changrui Chen & Heng Yue, 2025. "Adaptive Approximate Predefined-Time Guaranteed Performance Control of Uncertain Spacecraft," Mathematics, MDPI, vol. 13(5), pages 1-20, March.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:5:p:832-:d:1603373
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