Compressor system, comprising - a planetary gear train having an input, shaft and an output shaft and comprising a compressor coupled to the output shaft for producing compressed air, - wherein the planetary gear train comprises components that can be moved relative to one another in the form of a ring gear, a planet carrier, and a sun gear, and - wherein a first switchable fixing device is provided, by means of which two of the components of the planetary gear train that can be moved relative to one another can be fixed with respect to one another, and - wherein a second switchable fixing device is provided, by means of which the ring gear, the planet carrier, or the sun gear can be fixed with respect to an outer support, characterized - in that the first switchable fixing device and/or the second switchable fixing device are pneumatically controllable, - in that the compressor system comprises a control unit which controls the first switchable fixing device and the second switchable fixing device, and - in that the control unit is configured to receive a speed, determined by a speed sensor, of the input shaft, and/or a speed, determined by a further speed sensor, of a motor that drives the input shaft, and a temperature, determined by a temperature sensor, of a compressor, wherein the values received are the basis for various switching criteria, the latter being evaluated independently of one another, wherein the highest transmission ratio that can be derived from the individual switching criteria is always selected by actuating the two switchable fixing devices (26, 30), in order to prevent impermissibly high loading of the compressor. - a planetary gear train having an input, shaft and an output shaft and comprising a compressor coupled to the output shaft for producing compressed air, - wherein the planetary gear train comprises components that can be moved relative to one another in the form of a ring gear, a planet carrier, and a sun gear, and - wherein a first switchable fixing device is provided, by means of which two of the components of the planetary gear train that can be moved relative to one another can be fixed with respect to one another, and - wherein a second switchable fixing device is provided, by means of which the ring gear, the planet carrier, or the sun gear can be fixed with respect to an outer support, - in that the first switchable fixing device and/or the second switchable fixing device are pneumatically controllable, - in that the compressor system comprises a control unit which controls the first switchable fixing device and the second switchable fixing device, and - in that the control unit is configured to receive a speed, determined by a speed sensor, of the input shaft, and/or a speed, determined by a further speed sensor, of a motor that drives the input shaft, and a temperature, determined by a temperature sensor, of a compressor, wherein the values received are the basis for various switching criteria, the latter being evaluated independently of one another, wherein the highest transmission ratio that can be derived from the individual switching criteria is always selected by actuating the two switchable fixing devices (26, 30), in order to prevent impermissibly high loading of the compressor.