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为发现弯道道路条件下交通流的演化特性及稳定条件,在全速度差最优模型的基础上,研究了弯道情况下的交通流跟驰模型表达式,并以状态空间法和控制系统的稳定性判据对其进行了稳定性分析,得到弯道情况下交通流的稳定条件,最后进行了数值模拟,验证了模型稳定条件的正确性.研究结果表明在相同的初始交通流密度情况下,弯道道路随着道路弧度的增大,交通流稳定性逐渐降低.
In order to find the evolutionary characteristics and stability conditions of traffic flow under curved road conditions, based on the optimal model of full speed difference, the expression of traffic flow following model in the case of curved road is studied. The state space method and control system The stability of the traffic flow under the condition of curve is obtained, and finally the numerical simulation is carried out to verify the correctness of the model’s stability condition.The results show that under the same initial traffic flow density Under the curved road with the increase of the road curvature, the traffic flow stability is gradually reduced.