Kinematic analysis of redundant robotic manipulators: application to Kuka LWR 4+ and ABB Yumi

Abstract

This paper presents a kinematic analysis of two redundant serial manipulators: Kuka LWR 4+ and ABB Yumi. This analysis includes the derivation of the forward kinematics for both manipulators as well as the solution of the inverse kinematic problem. For the Kuka LWR 4+ this solution is analytical whereas for the ABB Yumi an analytical and numerical approach is proposed. Besides, the singularities of the Kuka LWR 4+ are obtained symbolically and the singular directions associated are calculated. This study intends to increase the kinematic knowledge of two actual redundant manipulators as well as to provide valuable information that can be used in the definition of different algorithms or control laws.

Keywords

• Cinemática
• cinemática inversa
• manipuladores redundantes
• matrices de transformación
• singularidades