RAFT is a specific example of a controlled radical polymerization. Others are NMP (nitroxide mediated radical pzn) and ATRP (atom transfer radical polymerization).
All of them have one thing in common: the radical is formed in an equilibrium which is very unfavorable, producing only tiny concentrations of radical at a time. This is in contrast to, for instance, the pzn of polystyrene by a peroxide, where radicals form fast and uncontrolled.
The higher the concentration of radicals, the greater the chance that two of them will react with each other (coupling termination) or with some contaminant or the side of the vessel, rather than with a molecule of monomer. (propagation).
So the short version is that RAFT works by keeping the concentration of radicals very low so that the main thing that happens is propagation, and termination or other reactions are suppressed.