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H. Song, R. Fraanje, G. Vdovin, G. Schitter, M. Verhaegen:
"Hysteresis Compensation for a Piezo Deformable Mirror";
Talk: 6th International Workshop on Adaptive Optics for Industry and Medicine, Galway (Ireland); 06-12-2007 - 06-15-2007; in: "Proceedings of the 6th International Workshop on Adaptive Optics for Industry and Medicine", (2007), 112 - 117.

The field of adaptive optics (AO) has received rapidly increasing attention in recent
years, the intrinsic hysteresis of the piezo deformable mirror (DM) imposes
a limit in the accuracy when the stroke of the piezo-actuator is on the order
of micrometers. This contribution discusses the hysteresis compensation of a
piezo DM by an inverse Preisach hysteresis model. The inverse Preisach hysteresis
model is identified from the measured input-output data with a neural
network and with a hinging hyperplane based approach. Experimental results
demonstrate that hysteresis of the piezc-actuator can be reduced from 20%
to about 6% and 9% by the neural network and by the hinging hyperplanes,
respectively.