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本文针对十字路口的过饱和情况,引入一种新颖的被称之为正定切换系统的模型.然后,基于正定切换系统的耗散性能分析,针对四相位十字路口,提出了交通信号灯实时状态反馈控制策略.通过建立四相位离散时间切换系统模型,设计状态反馈控制器,确定十字路口各个相位的绿灯时间.最后,给出了与经典饱和路口信号设计模型(bang-bang控制)对比的仿真研究.结果表明,在缓解十字口过饱和的问题上,状态反馈控制方法更有效.
In this paper, we introduce a novel model called positive definite switching system for the supersaturated situation at intersections.Then, based on the analysis of dissipative performance of positive definite switching system, a real-time status feedback control of traffic lights is proposed for four-phase crossroads In this paper, a four-phase discrete-time switched system model is established and the state feedback controller is designed to determine the green-light time of each phase of the crossroads.Finally, a simulation study is given comparing with the classical saturated junction signal design model (bang-bang control). The results show that the state feedback control method is more effective in alleviating the cross over-saturation.