An extended car-following model considering driver’s memory and average speed of preceding vehicles with control strategy

Abstract Considering effect of driver’s memory and average speed effect of preceding vehicles, an extended car-following model is proposed in this paper. The control signal including the velocity difference between the considered vehicle’s velocity and its preceding cars’ average speed is considered. The stability conditions of the model are derived by control theory method. The extended model is also analyzed from the perspective of energy consumption. Numerical simulation results show that driver’s memory has negative impact on stability of traffic flow and increases the energy consumption. However, the control signal can enhance the stability of traffic system and depress the energy consumption.

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