The invention relates to a method for fine machining a cylindrical workpiece surface of a workpiece blank by means of a fine machining tool. Said method comprising the following steps: generating a relative rotational movement between a tool and a workpiece blank about a machining axis which is concentric to a cylindrical workpiece surface of the workpiece blank; generating a relative feed rate between the tool and the workpiece blank along the machining axis; detecting an actual value of a process variable, which is a function of a relative force between the tool and the workpiece blank and which can assume a plurality of process variable values; and continuously controlling the process variable by changing the relative feed rate in such a way that the more the relative feed rate changes, the more the actual value of the process variable deviates from a desired value of the process variable.