Abstract: An arrangement for controlling a supply of air and a volume of fuel to an auxiliary combustion chamber associated with a supercharged internal combustion engine. The auxiliary combustion chamber being adapted to periodically deliver additional exhaust gas to an exhaust gas turbine of the supercharger as a function of an instantaneous exhaust gas volume from the internal combustion engine. A sensor is disposed in a charging air line of the internal combustion engine for influencing a pressure detector which delivers an actual value signal corresponding to the instantaneous charging air pressure. The signal reaching a comparator by way of an input amplifier, in which comparator the signal is compared with a guide parameter delivered by a fixed value adjustment device and corresponding to the desired constant charging air pressure.