Abstract: An exemplary piezoelectric actuator includes a piezoelectric transducer that exhibits displacements when energized with corresponding voltages. A control system is electrically connected to the piezoelectric transducer so as to provide the transducer with the voltages. The control system includes feedback of displacements of the transducer as functions of respective voltage commands and feed-forward of electrical currents passing through the transducer as functions of the respective voltages applied to the transducer. The control system further has a feedback controller connected to receive transducer-displacement data corresponding to the voltages applied to the transducer. The control system further can include a current-feed-forward amplifier connected to receive transducer-current data corresponding to the voltages applied to the transducer. Such a control system facilitates reduction of hysteresis in controlled actuation of the actuator.

Abstract: An exemplary piezoelectric actuator includes a piezoelectric transducer that exhibits displacements when energized with corresponding voltages. A control system is electrically connected to the piezoelectric transducer so as to provide the transducer with the voltages. The control system includes feedback of displacements of the transducer as functions of respective voltage commands and feed-forward of electrical currents passing through the transducer as functions of the respective voltages applied to the transducer. The control system further has a feedback controller connected to receive transducer-displacement data corresponding to the voltages applied to the transducer. The control system further can include a current-feed-forward amplifier connected to receive transducer-current data corresponding to the voltages applied to the transducer. Such a control system facilitates reduction of hysteresis in controlled actuation of the actuator.

Abstract: Methods and apparatus for providing vibration compensation using position measurements are disclosed. According to one aspect of the present invention, a method of compensating for vibrations of an object includes obtaining a plurality of position measurements associated with the object. The method also includes processing the plurality of position measurements to determine a derivative acceleration, and determining a compensatory force to counteract the vibrations of the object. Determining the compensatory force includes using the derivative acceleration. Finally, the method includes applying the compensatory force to the object.

Abstract: Methods and apparatus for providing vibration compensation using position measurements are disclosed. According to one aspect of the present invention, a method of compensating for vibrations of an object includes obtaining a plurality of position measurements associated with the object. The method also includes processing the plurality of position measurements to determine a derivative acceleration, and determining a compensatory force to counteract the vibrations of the object. Determining the compensatory force includes using the derivative acceleration. Finally, the method includes applying the compensatory force to the object.