A novel vehicle adaptive cruise control(ACC)system is proposed,which can guarantee the following distance and improve the fuel economy of the vehicle.Based on the model predictive control(MPC),the upper controller of ACC is built,and on this basis,the three track parameters are adjusted by using Gaussian process regression(GPR),grid search(GS)and adaptive methods to adjust the control domain and prediction domain to the optimal state.In addition,particle swarm optimization(PSO)are used to upgrade the system in order to reduce the amount of calculation and improve the stability.The simulation results show that the vehicle adaptive cruise control system based on MPCcontrol can ensure good tracking performance and reduce fuel consumption at the same time.