A PDE-ODE model for traffic control with autonomous vehicles
A PDE-ODE model for traffic control with autonomous vehicles
复制标题
自动驾驶车辆交通控制的 PDE-ODE 模型
DOI：
10.3934/nhm.2023051
复制
发表时间：
2023
期刊：
影响因子：
--
通讯作者：
M. D. Monache
中科院分区：
文献类型：
--
作者：
Thibault Liard;Raphael E. Stern;M. D. Monache
我们考虑一个偏微分方程-常微分方程系统来描述自动驾驶汽车的交通流动力学。在该模型中，人类驾驶员的整体流量由标量守恒定律表示，而每个自动驾驶车辆由常微分方程描述。介绍了耦合偏微分方程-常微分方程模型，并证明了该模型解的存在性，沿着提出了构造近似解的算法。接下来，我们提出了一种控制策略，自动驾驶汽车的速度，以最大限度地减少整个交通流的平均燃料消耗。最优控制问题的解决方案的存在性证明，我们数值计算表明，减少平均油耗是可能的AV作为一个移动的瓶颈。
We consider a partial differential equation - ordinary differential equation system to describe the dynamics of traffic flow with autonomous vehicles. In the model, the bulk flow of human drivers is represented by a scalar conservation law, while each autonomous vehicle is described by an ordinary differential equation. The coupled PDE-ODE model is introduced, and existence of solutions for this model is shown, along with a proposed algorithm to construct approximate solutions. Next, we propose a control strategy for the speeds of the autonomous vehicles to minimize the average fuel consumption of the entire traffic flow. Existence of solutions for the optimal control problem is proved, and we numerically show that a reduction in average fuel consumption is possible with an AV acting as a moving bottleneck.
DOI：
10.1016/j.trc.2018.02.005
发表时间：
2018-04-01
影响因子：
8.3
作者：
Stern, Raphael E.;Cui, Shumo;Work, Daniel B.
通讯作者：
Work, Daniel B.