%0 Journal Article %T Multifrequency %A Bangchun Wen %A Juqian Zhang %A Laihong Zhou %A Lei Jia %J Journal of Low Frequency Noise, Vibration and Active Control %@ 2048-4046 %D 2019 %R 10.1177/1461348418818734 %X This article presents the dynamic model of three eccentric rotors driven by induction motors and respectively derives the response equations of the three directions with different frequency in a vibrating system. On account of the difficulty to realize multifrequency self-synchronization, the controlling method is used to realize the synchronization of the speed and phase. In this article, the fuzzy PID method is introduced to control the vibrating system which is based on a master¨Cslave controlling strategy. And a tracking method based on the phase ratio is proposed. The effectiveness and stability are shown in the numerical simulation and the experiment validation is given to certify the accuracy of the theory. In the meanwhile, the arbitrary of the multifrequency is also demonstrated. Finally, some conclusions are summarized to present the significant in the engineering %K Controlled synchronization %K multifrequency %K fuzzy PID %K phase ratio %K eccentric rotors %U https://journals.sagepub.com/doi/full/10.1177/1461348418818734