Adaptive Approximate Predefined-Time Guaranteed Performance Control of Uncertain Spacecraft

Liangmou Hu, Zeng Wang (), Changrui Chen and Heng Yue
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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

Mathematics, 2025, vol. 13, issue 5, 1-20

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.

Keywords: sliding mode control; predefined-time; attitude tracking; uncertain spacecraft; guaranteed performance (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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