A robot-supported grinding method is described. In accordance with one example of the invention, the grinding method includes contacting a surface of a workpiece with a rotating grinding tool, whereby either the grinding tool or the workpiece is mechanically coupled to the tool center point (TCP) of a manipulator. The method further includes controlling an actuator that influences the grinding tool or the workpiece to produce a grinding force between the grinding tool and the workpiece, as well as measuring an actual deflection of the actuator. The rotational velocity of the grinding tool is adjusted depending on the measured actual deflection of the actuator and a reference deflection of the actuator.