feedback for correcting speaker distortion

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I'm trying to figure out if there is a way to design an amp to have some sort of correction for speaker caused distortion. I think velodyne had something like this at one point for their subwoofers but have no idea how to get something like this done. I know you can't fix problems like speaker flex with this but it should at least work with speakers over/undershooting or other kind of artifacts that are caused by the speaker vibration.

any idea guys on how to do this one?
 
never heard of phillips doing it. velodyne I swear did it or something similar enough as they are the ones that gave me the idea for it. if they didn't have something to get feedback from speaker motion what is it that velodyne did close to this that involved the speaker?


and yes I know don't expect magic just more for fun, ideas, and to experiment.
 
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