文章基本信息

标题：Bilateral Boundary Control of Moving Traffic Shockwave
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作者：Huan Yu ; Liguo Zhang ; Mamadou Diagne 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2019
卷号：52
期号：16
页码：48-53
DOI：10.1016/j.ifacol.2019.11.754
语种：English
出版社：Elsevier
摘要：We develop backstepping state feedback control to stabilize a moving traffic shockwave in a freeway segment under bilateral boundary actuations of traffic flow. A moving shockwave, consisting of light traffic upstream of the shockwave and heavy traffic downstream, is usually caused by changes of local road situations. The density discontinuity travels upstream and drivers caught in the shockwave experience transitions from free to congested traffic. Boundary control design in this paper brings the moving shockwave front to a static setpoint position, hindering the upstream propagation of traffic congestion. The traffic dynamics are described with Lighthill-Whitham-Richards (LWR) model, leading to a system of two first-order hyperbolic partial differential equations (PDEs). Each represents the traffic density of a spatial domain segregated by the moving interface. By Rankine-Hugoniot condition, the interface position is driven by flux discontinuity and thus governed by a PDE state dependent ordinary differential equation (ODE). For the PDE-ODE coupled system. the control objective is to stabilize both the PDE states of traffic density and the ODE state of moving shock position to setpoint values. Using delay representation and backstepping method, we design predictor feedback controllers to cooperatively compensate state-dependent input delays to the ODE. From Lyapunov stability analysis, we show local stability of the closed-loop system inH1norm. The performance of controllers is demonstrated by numerical simulation.
关键词：KeywordsBackstepping controlState-dependent delay compensationPDE-ODE coupled systemTraffic shockwaveLWR model