智能网联混合交通流稳定性解析方法综述

交通流稳定性分析是研究交通拥堵形成机理、车队队列控制的基础，面向智能网联环境下的混合交通流队列线性稳定性分析已成为近年来的研究热点. 根据受到的扰动大小和范围，介绍了线性稳定性、非线性稳定性、局部稳定性和队列稳定性的相关概念，并指出了交通流队列稳定性的基本判别准则. 基于控制理论，回顾了交通流车队队列线性稳定性条件的经典解析方法，其中，特征方程法评估了交通流内部扰动的增长速度，传递函数法依托于拉普拉斯变换构建了扰动的传递关系. 从经典跟驰模型、考虑时延的跟驰模型和考虑多前车驾驶信息反馈的跟驰模型出发，系统分析并总结了国内外学者对于混合交通流稳定性问题的研究现状，同时回顾了交通流稳定性理论研究在车队队列控制等方面的实验和工程应用. 最后，展望了混合交通流稳定性分析领域的研究前景，指出了在后车跟驰行为、智能网联汽车的交互协同、复杂混合交通流等几个方面是今后需要重点研究的领域. 

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.