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Controlled synchronization of two nonidentical homodromy coupling exciters driven by inductor motors in a vibratory system

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Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

Published online on

Abstract

In this work, the controlled synchronization of two nonidentical homodromy coupling exciters driven by inductor motors in a vibratory system is investigated. According to the previous works, using small parameter perturbation method deduces the conditions of implementing self-synchronous motion of two exciters. The shortage of self-synchronization method in design of vibratory system is found. The controlled synchronization method is proposed by employing sliding mode control and proportional–integral method on two inductor motors based on the master-slave control strategy to replace the self-synchronization. The stability of the controllers is proved by Lyapunov theorem. The performances of the control system are demonstrated by numerical simulation, which shows the controlled synchronization method is feasible. Additionally, the effects of various uncertainties including internal parameter perturbations and external disturbances on the control system are discussed, which indicate the proposed controllers have a good robustness.