A method for controlling a device system is disclosed, and the device system includes a tool device and a motorized advancing apparatus during the machining of a workpiece composed of a first material and a second material different from the first material. The method includes machining the workpiece by the device system initially in a first operating mode with first machining parameters that are stored for the first material. After the start of the machining of the workpiece in the first operating mode, the method includes measuring and storing a first machining progress of the tool device as a reference value. During the machining of the workpiece in the first operating mode, the method also includes regularly measuring and comparing with a first threshold value a current machining progress of the tool device.