为了更真实地反映交通流特性,在 Konishi 提出的耦合映射( CM) 跟驰模型基础上,考虑不同速度下车辆的不同安全距离,设计了新的安全距离表达式,随后提出了一类
基于时变安全距离的 CM 跟驰模型,并对模型的稳定性进行了研究; 基于稳定性理论,给出了模型满足稳定和交通拥挤现象不会出现的充要条件,在此基础上设计了一类滞后反馈控制器以更好地抑制交通拥堵; 最后通过仿真算例,对比了 Konishi 模型和新跟驰模型在抑制交通拥堵和车辆行驶过程中二氧化碳排放方面的性能. 仿真算例表明: 与 Konishi跟驰模型相比,基于时变安全距离的跟驰模型的收敛性更强; 所设计的控制器能通过调整车队速度有效缓解交通拥堵和降低车辆二氧化碳排放.
In order to reflect the traffic flow's characteristics more realistically,on the basis of CM ( Coupled-Map) car following model proposed by Konishi,a new expression of safely distance is established,with the consideration of the safe distance of vehicles at different speeds.Then,a CM car following model on the basis of time-varying safety distance is proposed subsequently,of which the stability is studied.Moreover,on the basis of stability theo- ry,the sufficient conditions that the traffic congestion phenomenon will never occur are presented,and,in order to suppress the traffic congestion,a delay-feedback controller is designed.Finally,a comparison between the pro- posed model and Konishi model is made in terms of inhibiting traffic congestion and carbon dioxide emission,Simu- lated results show that the convergence rate of the proposed model is faster than that of Konishi model,and that the designed controller is effective in suppressing the traffic congestion and reducing the carbon dioxide emission via ad- justing motorcade speed.