The present research works focuses on the control synchronization of anti-resonance vibration system (ARVS) with two eccentric rotors driven by the motors. The small parameters average method and Hamilton’s criterion are employed to analyze the self-synchronous theory of the proposed system from the views of mechanics and mathematics. The research results show that the zero-phase synchronization between two motors is difficult to carry out owing to its own weak coupling property; the ideal dynamic characteristics of the ARVS are easily destroyed by the material quality fluctuation. Therefore, the controllers of the angular speed and phase angle are designed by using the sliding mode control (SMC) algorithm with master-slave control structure. And then Lyapunov theory is used to prove the stability of the controllers. Moreover, some simulation results are given to explore the feasibility and validity of the proposed controllers. The results indicate that the zero-phase synchronization between two motors can be performed by using the proposed control strategy; meanwhile, the ideal dynamic characteristics of the ARVS can be maintained by the proposed controllers with the material quality fluctuation; additionally, a strong robustness of the control system is carried out to reject the structural parametric interferences to the dynamic characteristics. The results can provide a control method for the engineering design of the anti-resonance vibration machine and help anti-resonance vibration machine adapt to more complex working environment.
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