In this research, a nonlinear torque control law with a free function is ap
plied to the simultaneous motion and vibration control of a single-link fle
xible robot. A rigorous proof of the asymptotic stability of the closed-loo
p system is provided and experiments are conducted by taking the free funct
ion in the feedback law as the output of one of the following vibration sen
sors: strain, shear force, reaction force, tip acceleration, and accelerati
on at some intermediate point. The experimental results demonstrate that th
e use of strain, shear force, and reaction force information in the control
law can substantially suppress vibrations in the arm, while the effect of
incorporating the acceleration information can be better or worse, dependin
g on where the accelerometer is placed. (C) 1999 John Wiley & Sons, Inc.