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

Abstract

AbstractThis 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.