In the paper the problem of multiple controlled synchronization of a pair of unbalanced rotors is considered. A new bidirectional control law is proposed for multiple synchronization of rotors. A linear analysis of the dynamics of a simplified system model is presented, demonstrating the control system robustness with respect to the parameters of the vibration machine and controller. The main part of the paper is devoted to the description of the experimental results obtained at the Multiresonance Mechatronic Laboratory Setup, demonstrating the efficiency of the proposed approach and revealing its application scope.