基于驾驶人特性的双车道跟驰模型稳定性分析

Stability Analysis of a Two-lane Car-following Model with Effect of Driver’s Characteristics

为了研究交通拥堵问题,了解交通拥挤形成的过程及驾驶员自身特性对双车道交通流稳定性的影响.本文基于复杂网络聚类同步理论,对一类基于驾驶员特性的双车道跟驰模型的稳定性进行研究.通过设计适当的控制器使得基于驾驶人特性的双车道车辆跟驰模型趋于稳定,并得到了模型稳定性的条件.此外,在双车道上的车辆受到随机外部扰动的情形下,利用具有外部扰动的复杂网络自适应H∞聚类同步理论,研究了外部扰动情形下基于驾驶人特性的双车道车辆跟驰模型的稳定性.最后,采用MATLAB仿真技术进行数值模拟,验证所设计控制器对双车道交通流稳定性的影响及不同的驾驶员性格特性对交通流运行的影响.

In order to study the traffic jams and congestion, and to understand the forming process of traffic congestion and the influence of drivers' own characteristics on the stability of two- lane traffic flow, the paper investigated the stability of a two-lane car-following model with the effect of driver' s characteristics on the basis of cluster synchronization theory of complex network. By designing the appropriate controller, the two-lane carfollowing model with the effect of driver' s characteristics is quickly stabilized and the stability condition of the model is obtained. Besides, based on the adaptive H∞ cluster synchronization theory for complex networks with external disturbances, the stability of two- lane car- following model with the effect of driver' s characteristics is studied when the vehicles is subjected to random external disturbance. Finally, the effects of the designed controller on the stability of the two- lane traffic flow and the influence of different drivers' personality characteristics on the traffic flow are verified by using the MATLAB simulation technology.