I have considered doing something similar but if I do it I will probably look to use a stepper to make it possible to do repeatable focus. Taking a leaf out of automotive steppers they initialise them by driving them to the stop first by feeding a large number of steps in one direction (needing to be sure a stalled stepper against one end of the focusser travel won’t do any damage) and then backing off the other way a known number of steps.
If you know that 1000 steps is close to focus as an example then a setup like that should be close within ten seconds of switch on.
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