Inverse Kinematic Analysis of Parallel Supporting Structure Based on Rodrigues Parameters

摘要

A new method to describe the position-stance of parallel supporting structure is proposed based on Rodrigues theory. Comparing with others methods, the kinematic model with Rodrigues parameters has the advantages including least computational parameters, no trigonometric function calculation and convenient real-time control. The model of the inverse kinematics is established and the inverse solutions of the position-stance are obtained by analyzing the topologic structure of the parallel supporting structure with 3-RPS limb. By analyzing the vectors of the manipulator, the velocity and acceleration models of moving platform, limbs and end-effector arw deduced. According to the designed kinematic track, it is convenient to control accurately the supporting structure by the inverse kinematic model of the mechanism.