Inverse Kinematics for the Industrial Robot IRB4400 Based on Conformal Geometric Algebra

Abstract

We present a solution to the inverse kinematics problem of 5 DoF IRB4400 industrial serial robot arm based on conformal geometric algebra. The algorithm relies on the intersections of geometric primitives such as lines, circles, planes and spheres. This approach provides clear geometric intuition about the problem. In the solution we analytically describe the way how to find the final position of each joint and based on these positions we also determine the joint parameters (i.e. the angles) including the orientation according to the robot’s construction.