What are ABS EBD EPS in a car?

ABS

ABS: Antilock Brake System (or Anti-locking Brake System) - enables you to steer whilst keeping the brake pedal full on. Can be felt as a vibration through the pedal when it cuts in. Also useful in stopping in a straight line if one side is on slippery stuff and the other on grippy stuff (non-ABS will tend to spin).

EBD

EBD: Electronic Brake Distribution (or Electronic Brake-force Distributor) - alters how much of the brake force goes to the front and how much to the rear. Cars always have more braking on front as if the rears lock before the front then the car will spin. How much braking you can do with the rears depends on how much weight is in the vehicle so EBD dynamically adjusts this balance. Without it, the manufacturer sets up the balance so the rears don't lock when the vehicle is empty which is less braking than is possible when the vehicle is full.

EPS

EPS: Electronic Power Steering - enables the amount of assistance with steering to be varied depending on speed and how much you turn the wheel. This means it can give lots of boost when parking the car whilst still giving you a good feel for the road at speed.

ESP

As this was asked along with ABS and EBD, I think it might actually be ESP which is asked about.

ESP: Electronic Stability Program - senses when the car is about to go out of control and can apply an individual brake to a wheel to help avoid the spin. Will not totally prevent the spin but means that it takes more to lose control. Often also used to give traction control where brakes may be applied if a wheel begins to spin due to too much power for the grip. N.B. many cars have TCS (Traction Control System) without having ESP.