A Closed Form Solution for Inverse Kinematics of Robot Manipulator with Redundancy

Abstract

A closed form equation for inverse kinematics of manipulator with redundancy is derived, using the Lagrangian multiplier method. The proposed equation is proved to provide the exact equilibrium state for the resolved motion method. And is shown to be a general expression that yields the extended Jacobian method. The repeatability problem n the resolved motion method does not exist in the proposed equation. The equation is demonstrated to give more accurate trajectories than the resolved motion method.