On Tracking Control of Robot Manipulator with Flexible Joints in Operational Space

Abstract

In this paper, an adaptive control framework and a command-filtered control framework are proposed for flexible joint robot manipulators to track a desired trajectory in the workspace. First, we present an adaptive control algorithm which ensures that the output (the end-effector) of the uncertain manipulator with flexible joints tracks a desired trajectory in the operational space. Subsequently, a control algorithm is synthesized with the command-filtered technique to eliminate the requirements of the joint-jerk feedback and the third-order derivative of system models. The advantages of the proposed control frameworks are guaranteeing the tracking performance in the workspace and scaling down the complexity of the controller. Therefore, the proposed approaches can be applied to heterogeneous robotic systems and are easier to implement. The stability and convergence of the closed-loop systems are analyzed based on Lyapunov technique. Simulation results are provided to show the efficiency of the proposed control frameworks.