I think it is rather appalling that the drug companies do not instruct doctors on how to taper off a drug. We see all sorts of terrible reactions from SSRIs, SNRIs, tramadol, Neurontin, Lyrica, etc. The reason? They don't even know, I suspect!

The taper will have to be slightly different for each person. What I have read on the net is dizziness and extreme anxiety going off.
Some people report tapering during a week. I think that is too short a time for the brain to adjust. Since Lyrica is going for a FDA approval for anxiety, I'd follow a Benzo taper schedule for it. (Google Benzodiazepine taper and there are many).
Those typically take months, 3 months at least.

Those who don't have many side effects, going up on it, may not see a painful taper. However, many people probably would do best with a slow taper down.

The length of time you have taken Lyrica and the dose, will also factor into a taper. Higher doses over longer time need a slower taper. People only using it for a short time, may be able to get off it in a week or two (say if you only used it 3 mons).

So I don't think there is one answer that will apply to everyone. Sorry.

For the record, I typed in pregabalin taper into PubMed...no articles on how to do it.