A control device for controlling the current of a rotating field machine of a motor vehicle, includes a current controller for determining a fundamental of an output voltage for a respective operating point, a controller for modulating the output voltage by driving a rectifier of the control device based on a pulse pattern optimized offline for the respective operating point, and a current sensor for sampling a harmonics-impacted output current, resulting from the pulse pattern that is used, of the rectifier and for returning the sampled output current to the current controller. Sampling times for sampling the output current are optimized offline in a manner specific to the pulse pattern and are predetermined as those times at which a deviation between the harmonics-impacted output current and a fundamental of the output current is less than a predetermined threshold value.