Electronic Brakeforce Distribution (EBD; also known as Elektronischer Bremskraftverteiler (EBV) in German) is a system that works alongside ABS to to ensure that the correct brake pressure is applied to each wheel in every situation.
The EBD system constantly monitors variables such as the road surface, pressure on the brake pedal, vehicle weight, and more to adjust brake pressure.
The weight in your car is almost never distributed evenly over all four wheels, and that weight shifts as the car moves around on the road.
Due to this, the wheels with a heavier load require more brake pressure than the wheels with a lighter load in order to bring the car to a stop.
An EBD system recognises this and adjusts the brake pressure for each wheel accordingly.