Position control of an underactuated manipulator that has one passive
joint is investigated. The dynamic constraint caused by the passive jo
int is second-order nonholonomic. Time scaling of the active joint tra
jectory and bidirectional motion planning from the initial and the des
ired configurations provide an exact solution of the positioning traje
ctory. The active and passive joints can be positioned to the desired
angles simultaneously by swinging the active joints only twice. Feedba
ck control constrains the manipulator along the planned path in the co
nfiguration space. Simulation and experimental results show the validi
ty of the proposed methods. (C) 1998 John Wiley & Sons, Inc.