Abstract: To improve the electrically excited linear synchronous motor (EELSM) for numerical control (NC) machine tool current dynamic performance of the controller, and to overcome the existing parameter time-varying, EELSM nonlinear state space model is established and decompose for electromagnetic sub model and machine electronic model. Taking the EELSM electromagnetic sub-model as the controlled object, the model following current controller was designed, and the controller and the adaptive mechanism with proportional integral adaptive regulation law were formed into a current control closed-loop system. By adopting the method of nonlinear isolated the closed-loop system is equivalent to a linear positive constant part and a nonlinear feedback loop, based on the Popov stability theory, designed the equivalent linear positive link strictly positive real transfer function matrix, nonlinear feedback loop design satisfy Popov integral inequality, can make the closed-loop system is stable and its state variables. Numerical simulation results show that the reference model of the closed-loop system and the time-domain step response curve of the state variable of the controlled object are obtained. Computer simulation results show that the model reference adaptive current control systerm of EELSM has asymptotic hyperstability and global convergence.