Kinematic Analysis Based on Screw Theory of a 3-DOF Cable-Driven Surgical Instrument

Abstract

The Forward kinematic and the inverse kinematic were analyzed of 3-DOF cable-driven surgical instrument in this paper. Kinematics of open chain surgical instrument was derived by the product of exponentials formula, and Paden and Kahan subproblems. Kinematic analysis of the 3-DOF cable-driven surgical instrument can be analyzed by the map relationship between the end effectors and the joint angles of the surgical instrument after removal of cables and pulleys and the map relationship between the rotor angular displacement of the motor and joint angular displacement. The analysis method can be useful for motion analysis and control for cable-driven robotic mechanisms.