A method for controlling a fill level of a catalytic converter that is in an exhaust aftertreatment system of an exhaust tract downstream from an internal combustion engine includes an exhaust gas sensor that is upstream of the catalytic converter measuring, and producing a signal representing, a concentration of an exhaust component; correcting a dynamic distortion present in the produced signal to produce a corrected signal; determining the fill level of the catalytic converter by inputting the corrected signal into a modeling function; and performing a control that modifies the fill level based on the determined fill level.