W. Oconnor et D. Lang, POSITION CONTROL OF FLEXIBLE ROBOT ARMS USING MECHANICAL WAVES, Journal of dynamic systems, measurement, and control, 120(3), 1998, pp. 334-339
A novel position control strategy for flexible robot arms based on wav
e propagation and absorption techniques is presented. The arm is model
ed by a lumped-parameter mass-spring system with an actuator at one en
d a,td a load mass at the other. The actuator is required to position
the remote load and, simultaneously, to provide active vibration dampi
ng. Ir does so by propagating mechanical waves through the system and
absorbing respected waves. Only the first two masses and springs need
to be characterized and observed to determine the required actuator mo
vement. The control algorithm is robust and compares very favorably wi
th the time-optimal performance of bang-bang control. It is also inher
ently adaptive.