Method for providing avoiding of excitations of oscillations of a measuring machine and/or for reducing or damping such oscillations by actively controlling a driving unit of the measuring machine or actively controlling an actuation of an additionally attached actuator. The method using information about an actual state of the measuring device, the actual state is derived based on a dynamic model and/or by use of a suitable sensor unit. A state controller, an actuator or a frequency-filtering element are used for counteracting or preventing oscillations.