The air compression system includes an air compressor and a detection device. A first pressure transducer is provided to measure an air pressure at an output port of the air compressor. A second pressure transducer in the detection device measures an air pressure in a channel of the detection device. A conduit in the detection device regulates an air flow to be compatible with that flowing through the inlet of the aerated object. The measurements from the first pressure transducer and the second pressure transducer are transmitted to and compared by a first control circuit of the air compressor, and an internal pressure of the aerated object is estimated. When the estimated internal pressure of the aerated object is smaller than a desired pressure, the air compressor pumps air into the object through the conduit of the detection device in a linear manner.