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基于智能交通诱导信息考虑前方多辆车,司机又通过后视镜考虑后方车辆,提出一种改进的耦合映射跟驰模型,用于描述单车道的交通流的动力学特性及其拥堵控制。利用离散延迟反馈控制动力学模式,通过调整模型中控制参数给出了抑制交通拥堵的策略。利用反馈控制理论,导出了在头车速度发生变化时,交通流保持稳定性的条件。分析结果表明,考虑前后方更多车辆的信息对交通流有致稳作用,亦即稳定性条件明显减弱。数值模拟证实了理论分析的正确性,通过与前人相关工作的比较得知,考虑前后方车辆的信息能够更有效地抑制交通拥堵。

Modified Coupled Map Car-Following Model Based on Comprehensive Information of Preceding and Following Cars

With the consideration of the application of intelligent transportation system (ITS) information, a modified coupled-map car-following model is proposed to describe the dynamical behavior of vehicles moving along a single-lane road. It is assumed that there exists a vehicle-bound navigation system providing each vehicle with the information about its preceding and following vehicles. Utilizing a dynamical version of the decentralized delayed-feedback control scheme, a strategy for controlling the traffic congestion is proposed through adjusting the control parameters in the presented model. Based on a new principle of feedback control, the stability criteria are provided as the speed of the preceding vehicle changes. The theoretical analysis shows that considering more information on preceding and following vehicles could keep traffic flows in stable conditions, which means that it is considerably easier to achieve the stable conditions of traffic flows. The corresponding numerical simulations confirm the correctness of the theoretical analysis. Compared with previous researches concerning congestion control, the control strategy in this paper is more effective in suppressing the formation of traffic congestion.