智能多车协作跟驰模型的稳定性与非线性分析

Stability and Nonlinear Analysis of Intelligent Multi-vehicle Cooperative Car-following Model

在车联网环境下,考虑前方多辆车运动信息对本车的影响,构建智能多车协作跟驰模型.通过线性稳定性分析导出模型的稳定性条件,并利用约化摄动法对模型进行非线性分析,获得稳定区域的Burgers方程及其三角激波解、亚稳定区域的KdV方程及其孤立波解,以及不稳定区域的mKdV方程及其扭结—反扭结波解.结果表明,考虑车联网因素的新模型能有效缩减车流中的不稳定区域,提高交通流的稳定性.

In internet of vehicles environment, an intelligent multi-vehicle cooperative car-following model was improved by considering the influence of the motion information of multiple vehicles ahead on the vehicle. The stability condition was derived through linear stability analysis, and nonlinear analysis was carried out by using the reduced perturbation method. The Burgers equation and triangular shock wave in the stable region, KdV equation and solitary wave in the metastable region, mKdV equation and kink-anti-kink wave in the unstable region were obtained. The results show that the improved model in internet of vehicles environment can effectively reduce the linear instability area of vehicular flow and improve the stability of traffic flow.