Review of Stability Analysis Method for Mixed Traffic Flow with Connected Automated Vehicles

Traffic flow stability analysis is the basis for studying the formation mechanism of congestion and platoon control. Linear string stability analysis on mixed traffic flow in connected automated vehicle environment has become a research hotspot in recent years. According to the size and scope of the perturbation, the concepts of linear stability, nonlinear stability, local stability and string stability are introduced respectively. The basic criterion for judging string stability of traffic flow is noted. Based on control theory, the classical analytical methods for the linear string stability condition of traffic flow are reviewed: eigenvalue equation method, which evaluates the growth rate of perturbation in the traffic flow, and the transfer function method, which builds the perturbation transfer relation based on Laplace transform. Then the basic car-following model, the time-delayed car-following model and the multi-anticipative car-following model are introduced. The research on mixed traffic flow stability in China and abroad is systematically analyzed and summarized. The experiments and engineering applications of stability theory in platoon control and other aspects are reviewed. The research prospects are proposed for rear car-following behavior, interaction of connected automated vehicles and complex mixed traffic flow. © 2022 Science Press. All rights reserved.