A dynamic model of giant magnetostrictive micro-actuator (GMA) turning system is established while considering temperature, pre-stress, and the nonlinear influence of the disc spring. Firstly, the controller is designed based on exact feedback linearization, using a hyperbolic tangent function instead of sign function and sliding mode variable structure control. Moreover, in order to reduce chattering and increase the continuity of the controller, the boundary layer is introduced. Finally, the results of the experiment verify that the control method with changed temperature and outside interference is effective.