A frequency-variable control system for elevator driven by linear induction motor was designed, and tested by the authors. Considering the testing result and the intrinsic end effect of linear induction motor, the authors present a method for constructing the mathematical model of this motor to compensate the end effect. Also, in this paper, the field-oriented control system based on single neuron PI for linear induction driven elevator is forward, and has this model simulated. The results are provided to verify that this mathematical model is effective and the control algorithm is robust against parameters variation and load change.