Abstract
This paper studies the fixed-time control problem for the post-capture tethered spacecraft subject to full-state constraints and uncertainties. A <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">C</i> <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sup> smooth adaptive fixed-time controller is constructed via introducing a smooth switch between fractional and quadratic form feedback, such that the undesired chattering and singularity issues are removed. With the aid of universal transformed function (UTF) technique, the proposed controller not only ensures that the constraint boundaries are not violated, but also eliminates the feasibility condition existing in the traditional barrier Lyapunov functions (BLFs)-based control solutions. Furthermore, by incorporating the generalized first-order filter and adaptive laws into control design procedure, the fixed-time stability of the closed-loop system can be guaranteed. The validity of the proposed control scheme is demonstrated by a simulation example.
Published Version
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