A novel lattice model considering traffic flow gradient estimation information on curved road in CPS environment

In order to explore the mechanism that a driver’s anticipation effect in cyber-physical systems (CPS) environment has on the traffic flow on a curved road, a parameter for flow gradient is introduced to characterize the driver's anticipation of the variation trend of traffic flow on curved road ahead. On this basis, combined with the mechanical characteristics of curved road, an improved lattice model for curved road is proposed. The effect of anticipation information of flow gradient on the stability of traffic flow on curved road is analyzed by linear stability theory, and corresponding stability criterion is obtained. Through the perturbation reduction method, the spatiotemporal evolution mechanisms of traffic congestion in the stable flow region, unstable region, and metastable region of the curved road traffic flow were explored, and corresponding descriptive equations and density wave solutions were obtained. Numerical simulations were conducted to validate the theoretical analysis of the model, and the results indicated that the stability of the macroscopic traffic flow in the curve increased with the increase of road radian under the condition of the same initial density. Furthermore, the effect of the traffic gradient estimation information enhanced the control stability and alleviated traffic congestion in curved road traffic flow.