There are long-term controllers. Some of these people are able to suppress HIV for 10-30 years before eventually developing AIDS. Others have yet to develop AIDS and seem to suppress HIV permanently. That shouldn't be a surprise - some primates species do the same with SIV, basically controlling it permanently.

I see the comments about cell-to-cell infection; I don't know what it is about these controllers but it doesn't seem to be a problem for them.