For the tube, places like the victoria, jubilee, the driver doesn't actually "drive" if that makes any sense. They open the doors and hold down a button that indicates the line is clear. The driver has no real control over speed under normal circumstances.
for the tubes, the real blocker to "Driverless" trains is re-boring the tunnel to allow a walkway for evacuation.
The DLR is centrally controlled for most of the time. In the sense that there is a central operator that opens and closes the doors and tells the train to move to the next station.
the only difference is that there is no requirement for someone to hold down a button for the train to continue, the deadmans switch as it were.