Method for grinding workpieces, in particular for centring grinding of workpieces such as optical lenses

The invention relates in particular to a method for centring grinding of workpieces such as optical lenses by means of a grinding tool using an actuator (34) for generating a relative advancing movement between the grinding tool and the workpiece, wherein the actuator is integrated in a current regulator (48) for an actuator current which determines an advancing force of the actuator in a position control loop (40) which is run through using a predetermined control cycle. In the method, for each control cycle: (i) a desired direction of movement (Rsoll(n)) of the advancing movement and an actual direction of movement (Rist(n)) of the advancing movement are ascertained; then (ii) the ascertained actual and desired directions of movement are compared to one another; and finally, (iii) when the comparison results in a deviation between the actual and desired directions of movement, a predetermined current limit (ISollmax) for the actuator current emitted via the current regulator is decreased in a defined manner in order to reduce the advancing force of the actuator. As a result the advancing movement and material machining can be carried out quickly and efficiently without overstressing the tool or workpiece.