Predefined‐time guaranteed performance attitude takeover control for non‐cooperative spacecraft with uncertainties

Abstract

This article addresses the predefined-time guaranteed performance attitude tracking problem for takeover the non-cooperative target spacecraft with model uncertainties, adversarial control torque and gravity gradient torque. Firstly, a novel prescribed performance function (NPPF) is exploited, and then a new non-singular predefined-time terminal sliding mode (NPTSM) surface with the transformed tracking error is constructed. Secondly, a non-singular predefined-time prescribed performance control (NPTPC) is designed to achieve the guaranteed performance within predefined-time. It is proved that the proposed control can ensure that the attitude tracking error satisfies the prescribed performance boundaries all the time and converges to a preset small region centered around the equilibrium point within predefined time and then tends to the equilibrium point asymptotically. The appealing feature of the proposed control is predefined-time stability with quantified transient performance and steady-state accuracy. Simulations verify the effectiveness and improved performance of the proposed approach.