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A mathematical model of PMLSM was established on the basis of foundational motor theory, the method of establishing rotating motor's mathematical model and PMLSM′s characteristics. Through analysis of rotating synchronous motor model in environment of Matlab/Simulink, an universal PMLSM simulation model based on Matlab/Simulink was established, and simulation and analysis of control system of vertical motion PMLSM can be conducted with the model. The simulation results indicated that the motor model can reflect practical motor's working characteristics and has high reference value for designing and manufacturing practical motor 's control system.