基于切换系统的过饱和信号交叉口混杂控制_向伟铭.pdf

第14卷 第2期 交通运输系统工程与信息 Vol.14 No.2 2014 年 4 月 Journal of Transportation Systems Engineering and Information Technology April 2014 文章标号：1009-6744（2014）02-0057-05 中图分类号：U491.2 文献标识码：A 基于切换系统的过饱和信号交叉口混杂控制 * 向伟铭，肖 建 ，蒋阳升 （西南交通大学 交通运输与物流学院，成都610031） 摘 要： 为提出一种更加高效的信号交叉口控制方法，本文将过饱和信号交叉口的排队 车辆消散问题抽象为一类离散时间切换系统的指数稳定性问题，将排队溢出问题视为这 类系统的有界性问题.在此基础上，建立了信号交叉口的离散时间切换系统模型，基于Ly⁃ apunov函数方法分析了信号交叉口的稳定性、有界性，同时设计了状态反馈来设置绿灯 时间，能够保证排队车辆按照指数规律迅速递减并尽量降低排队车辆数.最后，提出了适 合过饱和信号交叉口的混杂控制策略.通过与常用的韦伯斯特方法比较，本文提出的混杂 控制策略能使排队车辆数消散更快，交叉口延误时间更短. 关键词： 城市交通；过饱和交叉口；切换系统；Lyapunov函数方法；稳定性；有限时间有 界性 Hybrid Control for Over-saturated Signalized Intersection Based on Switched System XIANG Wei-ming ，XIAO Jian ，JIANG Yang-sheng （School of Transportation and Logistics, Southwest Jiaotong University, Chengdu 610031, China） Abstract:Abstract: In order to propose a more effective control method for signalized intersection, the relief of wait- ing vehicle queue in an oversaturated intersection is viewed as the exponential stability problem of a discrete- time switched system, and the overflow of the queue can be viewed as the boundedness problem. Thus, a dis- crete- time switched system model is constructed for signalized intersection, and exponential stability and boundedness are analyzed based on Lyapunov function method. Meanwhile, the state feedback scheme is de- signed to set green time, which can relieve the waiting vehicles exponentially and reduce the number of wait- ing vehicles. Finally, a hybrid control strategy is obtained which is suitable fo