In this paper, the two-degree-of-freedom kinematics model of vehicle is established, and the differential equation of vehicle two-degree-of-freedom model is discretized and linearized. A trajectory tracking controller based on model prediction algorithm is designed, and a reasonable constraint function is established based on the experiment, attempting to balance the accuracy of path tracking and vehicle stability. The algorithm is verified by Carsim& Simulink platform. The results show that the trajectory tracking controller based on model predictive control can track the preset trajectory better when it is below 5m/s.

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