Abstract

We study the kinematics of robotic manipulators around singular configurations of Corank 1. Sufficient conditions are derived under which the kinematics become equivalent to a hyperbolic normal form. These conditions are illustrated with examples of nonredundant and redundant manipulator kinematics. New normal forms provide a better understanding of the singular behavior of robotic manipulators and are instrumental in solving the singular inverse kinematic problem within the normal form approach.

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