Structural vibrations and hysteresis nonlinearities in piezoactuators
have been fundamental limitations when using these actuators for high-
speed precision-positioning applications. Positioning speed (bandwidth
) is limited by structural vibrations, typically, to about one tenth t
he fundamental vibrational frequency of the piezoprobe. Further, preci
sion in positioning is limited by hysteresis nonlinearities, which can
result in significant errors for large-range positioning applications
. This paper shows that significant improvements in precision and band
width can be achieved by using an inversion-based approach to compensa
te for hysteresis and vibrations in the piezodynamics. The approach de
couples the inversion into 1) inversion of the hysteresis nonlinearity
and 2) inversion of the structural dynamics, to find an input voltage
profile that achieves precision tracking of a desired position trajec
tory The approach is applied to a piezoactuator, and experimental resu
lts show that an order of magnitude improvement in positioning speed i
s achieved, while maintaining precision tracking of the desired positi
on trajectory.