Macroscopic modelling and robust control of bi-modal multi-region urban road networks
Macroscopic modelling and robust control of bi-modal multi-region urban road networks
复制标题
DOI：
10.1016/j.trb.2017.05.007
复制
发表时间：
2017-10
影响因子：
6.8
通讯作者：
K. Ampountolas;Nan Zheng;N. Geroliminis
中科院分区：
文献类型：
--
作者：
K. Ampountolas;Nan Zheng;N. Geroliminis
该论文涉及将混合交通的双模态宏观基本图 (MFD) 建模集成到拥堵的单区域和多区域城市网络的稳健控制框架中。双模态 MFD 将汽车和公共汽车的累积以及同质（拥堵的空间分布和空间模式混合）双模态交通网络中的流出（或循环流）联系起来。我们引入网络中流量的组成作为影响双模态 MFD 形状的参数。具有不确定参数的线性参数变化模型，车辆组成在接近由双模态 MFD 控制的单区域和多区域城市的平衡点时，近似于聚合动力学的原始非线性系统。该模型旨在为单区域和多区域网络设计一个鲁棒的周界和边界流量控制器，保证鲁棒的调节和稳定性，从而保证车辆组成是一个缓慢的时变参数，从而实现平稳和高效的操作。鲁棒控制器的控制增益是使用凸优化离线计算的。为了评估所提出的方案，对单区域和多区域网络进行了广泛的基于模拟的研究。为此，公交车和汽车共享相同基础设施的旧金山异构网络被划分为两个具有不同组成模式的同质区域。将所提出的鲁棒控制与优化的预定时信号计划和单区域周界控制策略进行比较。结果表明，所提出的鲁棒控制可以显着：（i）减少网络的整体拥塞； (ii) 改善公交车在出行延误和时刻表可靠性方面的交通性能； (iii) 避免网络关键路径上的队列和拥堵。
The paper concerns the integration of a bi-modal Macroscopic Fundamental Diagram (MFD) modelling for mixed traffic in a robust control framework for congested single- and multi-region urban networks. The bi-modal MFD relates the accumulation of cars and buses and the outflow (or circulating flow) in homogeneous (both in the spatial distribution of congestion and the spatial mode mixture) bi-modal traffic networks. We introduce the composition of traffic in the network as a parameter that affects the shape of the bi-modal MFD. A linear parameter varying model with uncertain parameter the vehicle composition approximates the original nonlinear system of aggregated dynamics when it is near the equilibrium point for single- and multi-region cities governed by bi-modal MFDs. This model aims at designing a robust perimeter and boundary flow controller for single- and multi-region networks that guarantees robust regulation and stability, and thus smooth and efficient operations, given that vehicle composition is a slow time-varying parameter. The control gain of the robust controller is calculated off-line using convex optimisation. To evaluate the proposed scheme, an extensive simulation-based study for single- and multi-region networks is carried out. To this end, the heterogeneous network of San Francisco where buses and cars share the same infrastructure is partitioned into two homogeneous regions with different modes of composition. The proposed robust control is compared with an optimised pre-timed signal plan and a single-region perimeter control strategy. Results show that the proposed robust control can significantly: (i) reduce the overall congestion in the network; (ii) improve the traffic performance of buses in terms of travel delays and schedule reliability, and; (iii) avoid queues and gridlocks on critical paths of the network.