A compressed air provision device (2) for aerating a first pressure chamber (10) of a pneumatic actuator in order to actuate an actuator element (11) of the pneumatic actuator (3) in accordance with an actuation specification, in particular a position, movement, pressure and/or force specification. The compressed air provision device (2) is configured to calculate an aeration period (bd) and to aerate the first pressure chamber (10) in accordance with the calculated aeration period (bd) in order to bring about actuation of the actuator element (11) in accordance with the actuation specification.