Fractional-order Non-singular Terminal Sliding Mode Control for Bilateral Teleoperation System

This article investigates the stabilization of the bilateral teleoperation system with inherent strong nonlinearities and model parametric uncertainties, and a fractional-order non-singular terminal sliding mode control (FONTSMC) strategy for high-precision master-slave tracking is generated by combining fractional calculus and sliding mode control. The stability of the closed-loop system and finite-time convergence are analyzed using the Lyapunov stability theory. For simulation verification, the presented control scheme is applied to a pair of 3-DoF Phantom Omni haptic manipulators. The results reveal that the performance of non-singular terminal sliding mode control with fractional calculus is significantly better than that of the integer-order non-singular terminal sliding mode control in terms of trajectory tracking accuracy and response time.