A method for controlling a cutting machining process on a machine tool by a P-controller that changes a controlled variable u(t) affecting the cutting machining process based on a control deviation e(t) between a control quantity y(t) and a guide quantity w(t). To improve the control, the control factor (K) of the P-controller is variable and determined depending on instantaneous value of the control quantity y(t) via load characteristic fields. Each load characteristic field specifies a predetermined control factor for a defined value or value range of the control quantity y(t). Further disclosed is a control device for a cutting machine tool, a cutting machine tool, and a process for the cutting machining of a workpiece.
