Abstract: Concerning the traffic jams due to bad speed control for cyclic traffic flows, a suppression method was proposed on Washout control. With optimal velocity function, a nonlinear dynamic mathematical model for cyclic traffic flow was derived. To reduce the unreasonable factors of taking drivers' sensitivities as main parameters, Washout control was employed to obtain stability on its equilibrium. Parameters to keep system stability were also considered by using small gain theorem. Simulating a cyclic traffic flow with 20 cars, the simulation results show that the traffic flow reaches its equilibrium in 100 seconds with the proposed controller.

Key words: cyclic traffic flow, traffic jam, optimal velocity, stability, numerical simulation

摘要： 针对环状交通流中因车辆加减速度控制不当引起的交通不畅问题,提出基于Washout控制的拥堵抑制方案。利用最优速度函数,建立了环状车流非线性动态数学模型,为降低将驾驶员操作灵敏程度作为依赖变量的不合理因素,采用Washout控制实现系统在其速度平衡点的稳定运行,并通过小增益方法分析了实现系统稳定的控制参数范围。以20辆车组成的环状车流为对象进行了仿真分析,实验结果表明:所提方案能在100s内完全抑制环状交通流的拥堵现象。

关键词: 环状车流, 交通拥堵, 最优速度, 稳定性, 数值模拟