基于格子流体力学模型的交通拥堵反馈控制方法比较

【目的】寻找抑制拥堵、控制交通排放的可行方案。【方法】在交通流格子流体力学模型的基础上,考虑道路上所有车流对当前车流的作用,构造平均场反馈控制方法;考虑最近邻单元车流量差的正弦变化,提出非线性正弦反馈控制方法,并通过线性分析得出其稳定性条件。最后通过数值模拟验证,对比这两种反馈控制方法,以及考虑最近邻单元流量差的Ge反馈控制方法和考虑下游车流流量差的Redhu和Gupta延时反馈控制方法对抑制交通拥堵的作用。【结果】4种控制方法都能抑制交通拥堵。从数值模拟结果看,控制效果较好为平均场反馈控制方法、非线性正弦反馈控制方法和Ge反馈控制方法;从实际应用的角度来看,非线性正弦反馈控制方法、Ge反馈控制方法及Redhu和Gupta延时反馈控制方法比较容易实现。【结论】控制效果较好且较容易实现的方法为非线性正弦反馈控制方法和Ge反馈控制方法。

Comparison of Feedback Control Schemes for Traffic Jam Based on Lattice Hydrodynamic Traffic Model

Objective]Looking for the feasible solution to suppress traffic jams and control traffic emission.Methods]The mean-field feedback control scheme on lattice hydrodynamic traffic e-quation is constructed by considering an average effect exerting on traffic flow on road.The nonlinear feedback control scheme is proposed via considering the sine variation of the flow difference value on the nearest-neighbor unit on grid as control term.The stability condition is obtained by stability analysis.By simulation analysis,four control effects for the mean-field feedback control scheme,the nonlinear feedback control scheme,Ge’s feedback control scheme and Redhu and Gupta’s delay feedback control model are compared.Results]All of studies in-dicated that the four schemes can suppress traffic j ams effectively.From results of numerical simulations,the mean-field feedback control scheme,nonlinear feedback control scheme and Ge’s feedback control scheme have the better control effects.In the practical application,non-linear feedback control scheme,Ge ’s feedback control scheme and Redhu and Gupta’s delay feedback control model are easily realized.Con-clusion]The nonlinear sine feedback control scheme and Ge’s feedback control scheme reveal better control effects and easier to realize sup-pressing traffic j ams.