基于宏观基本图的路网多子区状态一致协同控制

针对基于宏观基本图(MFD)的路网多子区协同控制未考虑各子区拥堵状态差异性及均衡性的问题，本文提出以多子区状态可达一致为目标的子区边界状态反馈控制设计方法. 首先，基于路网 MFD模型建立路网多子区协同模型；进一步，基于部分变量稳定性理论，设计多子区状态可达一致的边界状态反馈控制律.在此基础上，考虑子区拥堵状态的差异性，设计了子区间的协同控制策略，快速缓解子区拥堵状态；同时，提出子区边界输入流的分配优化策略.最后，以潍坊市实际路网为背景建立仿真模型.实验结果表明，本文方法可实现子区交通流分布的均衡性，快速缓解子区拥堵状态，较大幅度地提升路网运行效率.

Multi-region State Consistent Collaborative Control Based on MFD in Traffic Network

Aiming at the problem of multi-region collaborative control based on MFD in traffic network without considering the difference and equilibrium of congestion conditions in each sub-region, this paper proposes a state feedback control method with achieving a consistent state of multi- regions. Firstly, multi- regions collaborative model is established based on MFD model. Furthermore, based on the partial variable stability, a boundary state feedback control law is designed. On this basis, considering the differences in the congestion status of the subregions, a collaborative control strategy is designed to alleviate the congestion status quickly. At the same time, the allocation optimization strategy of sub- region boundary input flow is proposed. Finally, a simulation model is established based on the actual road network in Weifang city, China. The results show that, the method can achieve the equalization of traffic flow distribution in sub- regions, and alleviate the congestion quickly, and greatly improve the operation efficiency of the road network.