Abstract: Aiming at the problem of mechanical resonance caused by weak damping flexible mode of sandwich system and the influence of backlash nonlinear factors, an auto coupling PID control method independent of the controlled object is used in this paper. This method treats all uncertain factors such as nonlinear dead zone in the sandwich system as a total disturbance, establishes a controlled error system with the total disturbance as the excitation, and then designs an auto coupled PID control system based on speed factor, and fully proves the robust stability and antidisturbance robustness of the autocoupled PID control system in theory. The simulation results show the effectiveness of the autocoupling PID control effect. The control method not only has a good response speed, but also has good robustness. Meanwhile, the method has a good application prospect in the field of sandwich structure flexible transmission system control.

Key words: sandwich system, weak damping flexible mode, ACPID control, adaptive speed factor