Feedback perimeter control for multi-region and heterogeneous congested cities

Abstract

It was recently observed from empirical data that by aggregating the highly scattered plots of flow versus density from individual loop detectors for city regions with homogeneous spatial distribution of congestion, the scatter almost diminishes and a well-defined Macroscopic Fundamental Diagram (MFD) exists between space-mean flow and density. These results can be of great importance to unveil simple and robust perimeter control policies in such a way that maximizes the network capacity and outflow. Single region perimeter control might not be optimal if there is a significant number of destinations outside the region of analysis or if the city is heterogeneously loaded. This paper integrates an MFD modeling to perimeter control optimization for large-scale cities with multiple centers of congestion, if these cities can be partitioned in a small number of homogeneous regions. Perimeter control actions may be computed in real-time through a linear multivariable feedback regulator or a linear multivariable integral feedback regulator. The impact of the perimeter control actions to a three-region urban network is demonstrated via micro-simulation. A key advantage of this approach is that it does not require high computational effort and future demand data if the state of each region can be observed

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