Articles | Volume 14, issue 1
Research article
23 Mar 2023
Research article |  | 23 Mar 2023

Composite synchronization of three inductor motors with a circular distribution by a fuzzy proportional–integral–derivative method in a vibration system

Lei Jia, Jiankang Yang, Xiaojiao Gu, Ziliang Liu, and Xiaoying Ma

Related subject area

Subject: Dynamics and Control | Techniques and Approaches: Mathematical Modeling and Analysis
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Cited articles

Barambones, O. and Alkorta, P.: Position Control of the Induction Motor Using an Adaptive Sliding-Mode Controller and Observers, IEEE T. Ind. Electron., 61, 6556–6565,, 2014. 
Blekhman, I. I., Fradkov, A. L., and Nijmeijer, H.: On self-synchronization and controlled synchronization, Syst. Control Lett., 31, 299–305,, 1997. 
Chen, C. S. and Chen, L. Y.: Robust Cross-Coupling Synchronous Control by Shaping Position Commands in Multiaxes System, IEEE T. Ind. Electron. 59, 4761–4773,, 2012. 
Chen, W., Liang, J., and Shi, T.: Speed Synchronous Control of Multiple Permanent Magnet Synchronous Motors Based on an Improved Cross-Coupling Structure, Energies, 11, 282,, 2018. 
Czolczynski, K., Perlikowski, P., and Stefanski, A.: Synchronization of pendula rotating in different directions, Commun. Nonlinear Sci., 17, 3658–3672,, 2012. 
Short summary
In this article, the composite synchronization of three inductor motors with a circular distribution by a fuzzy PID (proportional–integral–derivative) method in a vibration system is investigated. A fuzzy PID method is proposed, based on a master–slave strategy. The stability analysis, based on the Lyapunov theorem of the controlling method, is certified. The phase differences of self-synchronization and controlled synchronization are measured and compared from simulation and experiment results.