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首页> 外文期刊>Control Systems Technology, IEEE Transactions on >PDE-Based Feedback Control of Freeway Traffic Flow via Time-Gap Manipulation of ACC-Equipped Vehicles
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PDE-Based Feedback Control of Freeway Traffic Flow via Time-Gap Manipulation of ACC-Equipped Vehicles

机译：基于PDE的反馈控制通过装备ACC装备的时隙操作的高速公路交通流量

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摘要

We develop a control design for stabilization of traffic flow in the congested regime, based on an Aw-Rascle-Zhang-type (ARZ-type) partial differential equation (PDE) model, for traffic consisting of both adaptive cruise control-equipped (ACC-equipped) and manual vehicles. The control input is the value of the time-gap setting of ACC-equipped and connected vehicles, which gives rise to a problem of control of a $2imes 2$ nonlinear system of the first-order hyperbolic PDEs with in-domain actuation. The feedback law is designed in order to stabilize the linearized system, around a uniform, congested equilibrium profile. The stability of the closed-loop system under the developed control law is shown in constructing a Lyapunov functional. Convective stability is also proved to adopt an input-output approach. The performance improvement of the closed-loop system under the proposed strategy is illustrated in simulation, also employing three different metrics, which quantifies the performance in terms of fuel consumption, total travel time, and comfort.
机译：我们基于AW-Rascle-Zhang型（ARZ-Type）部分微分方程（PDE）模型，开发了用于稳定拥挤制度的交通流量的控制设计，适用于配备自适应巡航控制（ACC - 精细的）和手动车辆。控制输入​​是装备的ACC和连接的车辆的时隙设置的值，这导致了<内联公式XMLNS：MML =“http://www.w3.org/1998的控制问题/ math / mathml“xmlns：xlink =”http://www.w3.org/1999/xlink“> $ 2 times 2 $ 非线性系统。反馈定律是设计的，以稳定线性化系统，围绕均匀，拥挤的均衡曲线。在开发控制法下闭环系统的稳定性示于构建Lyapunov功能。还证明了对流稳定性采用了投入输出方法。在拟议策略下的闭环系统的性能改进在模拟中示出，也采用了三种不同的指标，这在燃料消耗，总旅行时间和舒适性方面量化了性能。

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