A data storage system that includes a positioning system for positioning the write/read mechanism and the storage medium of the data storage device with respect to each other in first and second predefined directions. The positioning system comprises a positioning apparatus comprising microfabricated first and second positioning assemblies. The positioning system further comprises a controller to position a positionable support structure of the first positioning assembly in a first predefined direction within a range of positioning that is larger than the range of movement of a moveable support structure of the first positioning assembly by controlling (A) a stationary support structure clamp in clamping and unclamping the positionable structure to and from the support structure, (B) a moveable structure clamp in clamping and unclamping the positionable support structure to and from the moveable support structure, and (C) the movement of the moveable support structure.