Abstract: With the generalized predictive control principle，a new digital control method of vibration is presented for the sub-micro ultra-precision turning machine，which is a nonlinear control system with uncertain disturbances. The method has an advantage comparing with the linear state feedback control method, with which the dynamic performances and control accuracy of the system may become worse while the nonlinearity and disturbances exist. The electromagnetic actuators designed with the new control law can effectively restrain the nonlinearity of the air springs and the vortex disturbance caused by the anti-electromotive force of the electromagnetic winding. The simulation results testify that the new vibration control method has stronger robustness, better dynamic performances and higher control accuracy than the common linear state feedback control method.

Key words: Generalized predictive control, System simulation, Ultra-precision turning machine, Vibration isolation, Detection scheme, Health assessment, Health management, Large roller coaster