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Remotely changing superconductor levitation height?

I want to be able to modify the height of a quantum locked superconductor. My original plan was to levitate the superconductor over an electromagnet and modify the current to said magnet (increase the ...
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Bottom magnetic levitation

There are many decorative devices, that keep a small metal sphere levitating in air by attracting it to a top electromagnetic coil while monitoring their height by optical sensors. There is also the ...
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Earnshaw's Theorem for ferromagnets

Why is Earnshaw's Theorem inapplicable for moving ferromagnets? Can I get a mathematical classical proof for this?