Optimal Perimeter Control for Two Urban Regions With Macroscopic Fundamental Diagrams: A Model Predictive Approach
Optimal Perimeter Control for Two Urban Regions With Macroscopic Fundamental Diagrams: A Model Predictive Approach
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DOI：
10.1109/tits.2012.2216877
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发表时间：
2013-03-01
影响因子：
8.5
通讯作者：
Ramezani, Mohsen
中科院分区：
文献类型：
--
作者：
Geroliminis, Nikolas;Haddad, Jack;Ramezani, Mohsen
最近对城市经验数据的分析表明，城市交通宏观基本图（MFD）提供了同质网络区域的网络车辆密度与网络空间平均流量之间的单峰低散关系。本文利用mfd模型，建立了两区域城市的最优周界控制。控制器在两个区域之间的边界上操作，并操纵在两个区域之间转移的流量百分比，以使到达目的地的行程数量最大化。最优周长控制问题采用模型预测控制的方法来解决，其中预测模型和对象（实际）由mfd表示。针对城市不同区域的不同拥堵程度给出了实例，并针对mfd的不同误差大小和交通需求中的不同噪声水平测试了控制器的鲁棒性。此外，还提出了两种平滑控制序列的方法。对比结果表明，模型预测控制的性能明显优于“贪婪”反馈控制。本文的结果可以推广到针对异质性拥挤城市制定有效的分层控制策略。
Recent analysis of empirical data from cities showed that a macroscopic fundamental diagram (MFD) of urban traffic provides for homogenous network regions a unimodal low-scatter relationship between network vehicle density and network space-mean flow. In this paper, the optimal perimeter control for two-region urban cities is formulated with the use of MFDs. The controllers operate on the border between the two regions and manipulate the percentages of flows that transfer between the two regions such that the number of trips that reach their destinations is maximized. The optimal perimeter control problem is solved by model predictive control, where the prediction model and the plant (reality) are formulated by MFDs. Examples are presented for different levels of congestion in the regions of the city and the robustness of the controller is tested for different sizes of error in the MFDs and different levels of noise in the traffic demand. Moreover, two methods for smoothing the control sequences are presented. Comparison results show that the performances of the model predictive control are significantly better than a "greedy" feedback control. The results in this paper can be extended to develop efficient hierarchical control strategies for heterogeneously congested cities.