In apparatus for braking rail-guided vehicles automatically and accurately with respect to a deceleration distance, while using a computer which, in accordance with a function based on one of the time and the distance of deceleration, delivers speed values to a means controlling the braking force of the vehicle, the improvement comprising, in combination:
- a differential amplifier having respective inputs receiving first and second signal corresponding, respectively, to the target speed value and the actual speed value;
- a limit-value stage connected to and controlled by said differential amplifier;
- a first switching element connected to the output of said computer;
- a second switching element;
- said limit-value stage, upon receiving a signal exceeding a threshold value, actuating said computer and bringing said first and second switching elements into closed positions;
- a maximum evaluator having a pair of inputs;
- means connecting said first switching element to one input of said maximum evaluator;
- means applying the desired speed to the other input of said maximum evaluator;
- a braking force controller connected to and controlled by the output of said maximum evaluator;
- means supplying the actual speed to said braking force controller;
- said braking force controller being actuable by said computer;
- said braking force controller delivering braking force control signals to a summing point;
- and means providing a fixed basic braking force control signal to said second switching element, said second switching element, when in its closed position, supplying said fixed basic braking force control signal to said summing point.