Abstract:3D elliptical vibration cutting is considered to be the most promising way of cutting difficult to machine materials freeform optics, but the control problem of the processing has not been solution satisfied, especially for adaptive problems for outside interference during processing, in order to achieve robust control in 3D elliptical vibration cutting process. Based on the unique structural of the developed 3D elliptical vibration cutting device, firstly the crosstalk between the position of each actuator was analyzed, and then a 3D elliptical vibration cutting device dynamics model was established according to the characteristics of flexure hinges. The designed sliding mode control function and the sliding mode control law of 3D elliptical vibration cutting system fuzzy adaptive sliding mode control certified its stability condition by Lyapunov function, the result proved that the design of the system sliding mode controller is stability. Sinusoidal signal was adopt to digital implementation the proposed fuzzy adaptive sliding mode control, position tracking error control within 0005 range in 3 s, speed tracking control within ±005 range in 04 s, achieved a satisfactory accuracy. Fuzzy adaptive sliding mode control approximation error can converge in 02 s, proved that 3D elliptical vibration cutting system uses fuzzy adaptive sliding mode control can be achieved over strong robustness.
