Classification of singular configurations for redundant manipulators

Abstract

A general methodology is presented for the singularity analysis of kinematically redundant manipulators. The singular configurations are classified based on the possibility of reconfiguration into a nonsingular posture using self-motion. A procedure is presented to test for the possibility of self-motion at a singular configuration. Necessary and sufficient conditions for admissible tangent vectors at the singular configuration are presented, as well as a method to construct such vectors. Sufficient conditions are derived for instances when the singular system can be reconfigured into a nonsingular state by displacements along the admissible null vectors.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>