Lyapunov-based control of macro-micro manipulator considering bending and torsional vibrations

This paper presents a Lyapunov-based positioning controller for a macro-micro manipulator suppressing the bending and torsional vibrations of the macro arm. On the basis of the distributed parameter model, the output feedback controller is constructed using the Lyapunov method. The asymptotic stability in the neighborhood of the desired states of the closed-loop system is proven. The proposed controller consists of the PD feedback of the motor angles and a feedback of the torsional strain at the tip of the macro arm. Some simulations are performed to show the effectiveness of the proposed controller.