We report on a magnetic levitation device with electro-optical feedback which allows for precise stabilization of the vertical position of the levitated piece (LP) within 1 μm. The vertical position of the LP is monitored through the reflection of a laser beam on a mirror placed in the upper part of the LP. The reflected beam goes to a position sensitive photodiode and suitable electronics transforms the fluctuations in the vertical position of the LP to an electrical signal. This signal is fed into a PID controller that drives an electromagnet. The output of the detection stage yields high-precision measurements of the fluctuations in the vertical position of the device and the current fed to the electromagnet provides a precise reading of the vertical force felt by the levitating part. We have also developed a model that explains most of the dynamical behavior observed. We have formulated the dynamical equations of the system and, by means of a linear perturbation technique, we have obtained the stability characteristics which compare well with the experimental response.
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