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This paper addresses the problem of phase and speed synchronization control of multi-exciters in vibration system considering material influence. Aiming at the synchronous control problem of the exciters, first, the dynamic model of the vibration system excited by multi-exciters considering the force of material is established. Considering the existence of coupling dynamics characteristic between adjacent exciters, an accurate controller combined with adjacent cross-coupling control (ACCC) strategy and an adaptive global sliding mode algorithm (AGSMC) is proposed to control the vibration system. The stability of the ACCC strategy controller is verified through the Lyapunov stability theorem. The ACCC strategy controller proposed in this paper is compared with the master-slave strategy controller by a numerical method. The results show that the proposed ACCC strategy and the AGSMC algorithm controller can reduce speed overshoot during the start-up phase of the induction motor and the chattering when the speed is stable, and improve the control accuracy. The ACCC strategy controller controls the multi-exciters in the vibration system considering the nonlinear force of material, so that the zero phase difference between adjacent exciters moves synchronously. Finally, in the vibration system, the influence of tracking speed and parameter error on the ACCC strategy controller is discussed. It shows that the ACCC strategy controller is robust to system parameter variation and error-disturbance.

Speed and Phase Adjacent Cross-Coupling Synchronous Control of Multi-Exciters in Vibration System Considering Material Influence