一致拥挤快速路交通系统稳定性分析

Stability Analysis of Freeway Traffic Systems in Uniformly Congested State

考虑快速路一致拥挤的前提下,通过选取适当的流—密关系式,建立快速路网络流模型。并在对快速路的第一段进行适当处理和考虑匝道排队的基础上,构造一个离散的线性系统。通过对此类型的离散系统进行稳定性分析,得到稳定的充分条件和最优控制器的设计方法,仿真实例表明该方法的有效性和实用性。

Under the uniformly congested freeway and selecting appropriate flow density function, a freeway network flow model is constructed. And a discrete linear system is formulated by appropriately reviewing the first section of freeway and considering ramp queues. A sufficient condition is obtained and the optimal controller is presented in this paper by analyzing the stability of this discrete system. Accordingly a simulation example shows the above method is effective and applicable.