Terminal Sliding‐Mode Control of Uncertain Robotic Manipulator System with Predefined Convergence Time

Abstract

This paper concentrates on the predefined‐time trajectory tracking for an uncertain robotic manipulator system. First, a modified predefined‐time control (PTC) algorithm is proposed. Subsequently, with the help of proposed modified PTC algorithm and the nonsingular design method of terminal sliding mode, a novel nonsingular terminal sliding‐mode control (NTSMC) scheme is proposed for ensuring the predefined‐time convergence of tracking errors. The advantages of the newly proposed control scheme are as follows. (i) Unlike the conventional predefined‐time sliding‐mode control (SMC) which only guarantees the predefined‐time convergence of sliding‐mode surface, the proposed scheme can guarantee the predefined‐time convergence of tracking errors. (ii) Compared with the conventional PTC algorithm, the proposed modified PTC algorithm can reduce the initial control peaking and enhance the precision of convergence time. The performance and effectiveness of the proposed control scheme are illustrated by comparing with the existing methods.