A linear PI cross-coupled control for servo system of CNC gear hobbing machine

The rotation mismatch between the hobbing cutter and rotary workbench in CNC gear hobbing machine will produce additional vibration during the process of gearing, thus reducing the machining precision. To achieve a better speed match, this paper proposes a synchronized control scheme based on cross-coupled control with proportional-integral (PI) compensator. Permanent-magnet synchronous motors (PMSM) in the servo system are controlled by vector control, which results in the simplification of their dynamic equations. The whole system with proposed control scheme is deduced mathematically. The simulation verifies the validity of the proposed control scheme.