基于切换系统的过饱和信号交叉口混杂控制

Hybrid Control for Over-saturated Signalized Intersection Based on Switched System

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Lyapunov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.

In order to propose a more effective control method for signalized intersection,the relief of waiting vehicle queue in an oversaturated intersection is viewed as the exponential stability problem of a discretetime switched system,and the overflow of the queue can be viewed as the boundedness problem.Thus,a discrete-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 designed to set green time,which can relieve the waiting vehicles exponentially and reduce the number of waiting vehicles.Finally,a hybrid control strategy is obtained which is suitable for over-saturated intersection.Compared with commonly used Webster approach,the hybrid control strategy is able to relieve the waiting vehicles faster,which makes the delay time shorter.