Aw-Rascle-Zhang型辅助驾驶交通模型的动力学推导
Kinetic derivation of Aw-Rascle-Zhang-type traffic models with driver-assist vehicles
摘要：
在本文中，我们推导出二阶流体动力学交通模型的动力学控制方程的辅助驾驶车辆。在车辆层面，我们考虑到两个主要的控制策略，综合自适应巡航控制和合作自适应巡航控制的行动。由此产生的宏观动力学满足在著名的Aw-Rascle-Zhang模型中引入的各向异性条件。与其他基于启发式参数的模型不同，我们的方法揭示了常用的流体动力学交通模型背后的主要物理方面，并证明了将驾驶辅助车辆的宏观方程的结构。数值分析表明，驾驶员辅助车辆的存在产生了平均流速的总体均匀化，其也可以以达到最佳流量和交通稳定的方式转向合适的期望速度。
英文摘要：
In this paper, we derive second order hydrodynamic traffic models from kinetic-controlled equations for driver-assist vehicles. At the vehicle level we take into account two main control strategies synthesising the action of adaptive cruise controls and cooperative adaptive cruise controls. The resulting macroscopic dynamics fulfil the anisotropy condition introduced in the celebrated Aw-Rascle-Zhang model. Unlike other models based on heuristic arguments, our approach unveils the main physical aspects behind frequently used hydrodynamic traffic models and justifies the structure of the resulting macroscopic equations incorporating driver-assist vehicles. Numerical insights show that the presence of driver-assist vehicles produces an aggregate homogenisation of the mean flow speed, which may also be steered towards a suitable desired speed in such a way that optimal flows and traffic stabilisation are reached.
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