This work examines the local fault tolerance of a kinematically redund
ant manipulator to failures that result in the immobilization of one o
r more joints. Immobilizing a joint results in additional singularitie
s, which are called locally fault intolerant configurations. These con
figurations are characterized by the null space of the manipulator Jac
obian. The effect that joint failures have on manipulator dexterity is
then investigated. It is shown that the reduction in the manipulator'
s dexterity is also related to the null space of the manipulator Jacob
ian. (C) 1996 John Wiley & Sons, Inc.