Multi-motor systems have been widely applied in many fields such as industry and transportation. In this paper, a two coupling permanent magnet synchronous motors system is considered. First, the model of the system is established. Then, a novel state equation of the system is obtained by choosing suitable state variables. Based on the state equation, a robust synchronization controller is designed via a cross-coupling idea and interval matrix. In terms of bilinear matrix inequations, sufficient conditions for the existence of the robust controller are derived. Thanks to the suitable choice of state variables, the proposed controllers can deal with load uncertainty without a load observer, and have robustness for environmental and parameter disturbance. In order to verify the effectiveness of the proposed controller, simulations are carried out via Matlab/Simulink soft. Simulation results reflect that the controller has good dynamic, static, and synchronization performance.
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