A new feedback control scheme for the lattice hydrodynamic model with drivers’ sensory memory

Abstract

With development of economy, the problem of traffic congestion is becoming more and more serious, which has caused economic losses and environmental pollution. Therefore, it is necessary to put forward reasonable solutions through the study of traffic flow theory. This paper proposes a new hydrodynamic model of traffic flow considering the drivers’ sensory memory and a new corresponding feedback control scheme. Through the stability analysis of the model, the stability conditions are derived. The obtained phase-plot shows that the sensory memory of drivers can affect the instability region, and the new feedback control term will reduce the unstable region. The numerical simulations by analyzing the short-term, long-term behaviors and hysteresis loop of traffic flow verify the impacts of the drivers’ sensory memory and the control sign.