To address the problems of displacement backlash and coarse-fine switching disturbances in piezoelectric stick-slip driving, a piezoelectric stick-slip platform is constructed using an arch actuation unit, a flexible adjustment mechanism, and an output stage. A system dynamics model is established that incorporates circuit, mechanical, and friction characteristics. The actuation units are then divided into driving and inhibition groups, and backward inhibition is achieved through a stator cooperation method. Furthermore, a smooth switching control strategy for “coarse-fine” positioning is designed using a switching self-locking logic loop and a time-tagged transition function to enhance the stability and efficiency of stick-slip motion mode switching. Finally, an experimental test system is built for verification. The experimental results show that, compared with conventional stick-slip drive methods, the displacement backward rate of the stator cooperation method in the X/Y directions decreases from 22.8% / 22.7% to 0.6% / 1.1%, effectively suppressing displacement backlash. When the switching threshold is set to 200 μm, the smooth switching control strategy enables rapid and accurate“coarse-fine” positioning. These results confirm the effectiveness of the proposed regression suppression and switching control method.