Analytical techniques are presented for the motion planning and contro
l of a 12 degree-of-freedom biped walking machine. From the Newton-Eul
er equations, joint torques are obtained in terms of joint trajectorie
s, and the inverse dynamics are developed for both the single-support
and double-support cases. Physical admissibility of the biped trajecto
ry is characterized in terms of the equivalent force-moment and zero-m
oment point. This methodology has been used to obtain reference inputs
and implement the feedforward control of walking robots. A simulation
example illustrates the application of the techniques to plan the for
ward-walking trajectory of the biped robot. The implementation of a pr
ototype mechanism and controller is also described.