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This paper proposed a model predictive control(MPC) based car-following control strategy for electric vehicles considering comfort, in order to improve the comfort of the car-following control system of electric vehicles. The MPC algorithm is improved in the following three aspects to improve the comfort: Firstly, a five-state longitudinal car-following model is adopted, so that the MPC algorithm can optimize the acceleration and acceleration change rate of the ego vehicle. Secondly, for the weight coefficients of the output vector and the input vector of the objective function, the fixed weight coefficients are changed into variable weight coefficients by the way of Nash equilibrium game, so that the control system can improve the weight of the parameters used to control the comfort under suitable driving conditions.

At present, most of the longitudinal car-following control algorithms based on model predictive control (MPC) do not consider the influence of the presence of the sloping road on the inter-vehicle distance, resulting in poor tracking capability under ramp conditions. In order to reduce the inter-vehicle distance error under ramp conditions and improve the tracking capability of longitudinal car-following control algorithm. The car-following control algorithm based on MPC considering uphill and downhill is proposed. This algorithm is based on the vehicle structure of fuel passenger cars, and adds a slope angle reconstruction module for implementing slope angle measurement and reducing the complexity of slope angle calculation based on the framework of conventional hierarchical control structure.