Active vibration absorber

Hello and thank you for reading!

I´m trying to design a device that can detect vibrations (with an accelerometer for ex) and react to them with some actuator to reduce them to some degree.

The application is for a 3d printer, as you can see in the attached pic it has a rather long arm moving along one of the axis, and as you may know 3d printers have a rather random way of moving, so traditional passive vibration dampening methods are out of the question IMO.
The vibrations are really smal, like the top of the arm only moves 1 mm with each swing, but that is more than enough to mess a print.

Could you guide me to some existing project or provide some reading material?

Thanks in advance

Regards,

IMO a typical application for a state regulator. Determine the behavior of the arm and construct the regulator that makes the arm move smoothly.

Thank you! could you provide a little more detail or some pointer for more reading?

Google "active damping" or "semi-active damping." A "tuned mass damper" (passive) may work, too.

Search for e.g. "digital state controller". Be warned: very sophisticated stuff ahead!