Controlled Synchronization of Nonlinear Teleoperation in Task-space with Time-varying Delays

This paper introduces a novel control framework for bilateral teleoperation system with the redundant remote robot to ensure the end-effectors’ position tracking while satisfying a sub-task control such as obstacle avoidance in the presence of the nonlinear dynamics for the manipulators and bounded time-varying delays in the communication channels. The asymptotic stability of the closed-loop dynamics is studied using a Lyapunov-Krasovskii functional under conditions on the controller parameters and the maximum values of time-varying delays. Simulation and experimental results are provided to validate the theoretical findings.