论文标题
通过全州反馈抑制两级流量中的振荡
Suppression of Oscillations in Two-Class Traffic by Full-State Feedback
论文作者
论文摘要
本文开发了一个全州反馈控制器，该控制器逐渐消除了交通密度和交通速度的振荡，其动力学行为受线性化的两级AW-Rascle（AR）模型的控制。因此，流量被认为是在拥挤的政权中，并分为两个类别，而每个类代表具有相同大小和驾驶员行为的车辆。宏观二阶两级AR模型由四个一阶双曲局部微分方程（PDE）组成，并引入了区域占用概念，以描绘交通中两级车辆的混合密度。此外，线性化模型方程式显示了异性行为，在拥挤状态下，正面和负特征速度均具有正向行为。控制目标是在有限的时间内实现与恒定平衡的收敛。控制输入是通过在考虑轨道部分的出口上作用的坡道计量来实现的。 BackStepping方法用于设计$ 4 $ 4 $双曲线PDE的全州反馈。通过模拟验证了全州反馈控制器的性能。
This paper develops a full-state feedback controller that damps out oscillations in traffic density and traffic velocity whose dynamical behavior is governed by the linearized two-class Aw-Rascle (AR) model. Thereby, the traffic is considered to be in the congested regime and subdivided in two classes whereas each class represents vehicles with the same size and driver's behavior. The macroscopic second-order two-class AR model consists of four first order hyperbolic partial differential equations (PDEs) and introduces a concept of area occupancy to depict the mixed density of two-class vehicles in the traffic. Moreover, the linearized model equations show heterodirectional behavior with both positive and negative characteristic speeds in the congested regime. The control objective is to achieve convergence to a constant equilibrium in finite time. The control input is realized by ramp metering acting at the outlet of the considered track section. The backstepping method is employed to design full-state feedback for the $4\times 4$ hyperbolic PDEs. The performance of the full-state feedback controller is verified by simulation.
