An extended lattice hydrodynamic model considering the driver's sensory memory and delayed-feedback control

In this paper, an extended lattice hydrodynamic model with consideration of the driver's sensory memory and delayed-feedback control is proposed. The control signal about the density difference of the vehicles ahead is taken into account. The control method is used to analyze the stability of the extended model, and the stability condition for the model is derived. Energy consumption is also taken into account in the extended model, which reflects the fuel consumption and emissions of each vehicle. The numerical simulations are explored to illustrate and clarify the results of theoretical analysis. The simulation results show that the driver's sensory memory can enhance the stability of traffic flow and reduce the energy consumption, while density difference weakens the stability of traffic flow and increases the energy consumption. Numerical results are consistent with the corresponding theoretical analysis.