An extended lattice hydrodynamic model based on control theory considering the memory effect of flux difference

Abstract Nowadays, the memory effect of drivers’ behavior has been a hot topic in traffic flow research. In this paper, based on the lattice hydrodynamic model a new feedback control model is derived in a single-lane system. The memory effect of flux difference is considered in the new model to suppress the traffic jam. The critical condition of the model is analyzed by control method. The simulations are applied to verify the influence of feedback control signal on alleviating traffic jam. Besides, energy consumption simulation is designed in this paper. All the results demonstrate that the memory effect of flux difference model enhances the stability of traffic flow.

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