"A controlled explosion" means that a group of experts (usually military bomb-disposal people) deliberately exploded the bomb. They examined the bomb, they identified its type, they figured out exactly what to do with it, they knew how much explosive to place on it, they knew just how far away they, and other people, had to be to be safe when the bomb exploded, and they knew exactly how many sandbags or how much earth to place around it. All this means that experts were in charge of exploding the bomb, and it didn't just explode on its own.