State estimation and position control of a robotic manipulator with a biarticular actuation mechanism

This paper introduces a state estimation method for the position control of a two-DoF planar manipulator in the polar coordinate system. The kinematics and dynamics of the two-DoF manipulator are analyzed utilizing the biarticular actuation mechanism and the polar coordinate system, which makes it possible to express the equation of motion in an effective and convenient way. The dynamic equation with the proposed coordinate system and biarticular actuation mechanism is formalized into a state-space equation, and the state feedback controller is designed based on the derived state-space dynamics. As applications of the proposed method, a position tracking controller is designed at the end-effector. In addition, for implementation of the proposed method, a kinematic Kalman filtering is utilized for the best estimation of state variables.