Brake actuator for a braking system of a vehicle, and method for braking a vehicle

A brake actuator for a braking system of a rail vehicle is configured to detect an anti-skid corrected braking target value from a brake control, or has an anti-skid correction device configured to correct the braking target value detected by the brake control by a reduction signal of an anti-skid control device to the anti-skid corrected braking target value. To improve the controllability of the brake actuator, an anti-skid monitoring device is provided, to which the anti-skid corrected braking target value and the brake target value are applied, and is configured to switch from a first position to a second position under at least one predefined first switching condition, and to switch from the second position back to the first position under a second switching condition. In the first position, the anti-skid corrected braking target value is provided.