Model predictive control of large-scale urban networks via perimeter control and route guidance actuation

We design model predictive control (MPC) schemes to improve urban mobility in heterogeneously congested large-scale traffic networks, the modeling and control of which remains a challenge. The multi-region urban network is modeled using the macroscopic fundamental diagram (MFD) of urban traffic, with each region having a well-defined MFD. For more realistic simulations of urban networks with route guidance actuation based control, we propose a new model with cyclic behavior prohibition. Furthermore, we extend upon earlier work on perimeter control based MPC schemes with MFD modeling by integrating route guidance type actuation, which distributes flows exiting a region over its neighboring regions. Performance of the proposed schemes are evaluated via simulations of a congested scenario with noise in demand estimation and measurement errors. Results show the possibility of substantial improvements in urban network performance.

[1]  Markos Papageorgiou,et al.  Exploiting the fundamental diagram of urban networks for feedback-based gating , 2012 .

[2]  Carlos F. Daganzo,et al.  Urban Gridlock: Macroscopic Modeling and Mitigation Approaches , 2007 .

[3]  Nikolas Geroliminis,et al.  Dynamics of heterogeneity in urban networks: aggregated traffic modeling and hierarchical control , 2015 .

[4]  Nikolas Geroliminis,et al.  Equilibrium analysis and route guidance in large-scale networks with MFD dynamics , 2015 .

[5]  Markos Papageorgiou,et al.  A Multivariable Regulator Approach to Traffic-Responsive Network-Wide Signal Control , 2000 .

[6]  N. Geroliminis,et al.  Existence of urban-scale macroscopic fundamental diagrams: Some experimental findings - eScholarship , 2007 .

[7]  Markos Papageorgiou,et al.  A Hybrid Strategy for Real-Time Traffic Signal Control of Urban Road Networks , 2011, IEEE Transactions on Intelligent Transportation Systems.

[8]  Nikolas Geroliminis,et al.  Optimal Hybrid Perimeter and Switching Plans Control for Urban Traffic Networks , 2015, IEEE Transactions on Control Systems Technology.

[9]  Henk Wymeersch,et al.  Traffic-adaptive signal control and vehicle routing using a decentralized back-pressure method , 2015, 2015 European Control Conference (ECC).

[10]  Wang,et al.  Review of road traffic control strategies , 2003, Proceedings of the IEEE.

[11]  Danwei Wang,et al.  Distributed traffic signal control for maximum network throughput , 2012, 2012 15th International IEEE Conference on Intelligent Transportation Systems.

[12]  Nikolas Geroliminis,et al.  Optimal Perimeter Control for Two Urban Regions With Macroscopic Fundamental Diagrams: A Model Predictive Approach , 2013, IEEE Transactions on Intelligent Transportation Systems.

[13]  Nikolaos Geroliminis,et al.  Perimeter and boundary flow control in multi-reservoir heterogeneous networks , 2013 .

[14]  Jack Haddad,et al.  Robust perimeter control design for an urban region , 2014 .

[15]  Joel Andersson,et al.  A General-Purpose Software Framework for Dynamic Optimization (Een algemene softwareomgeving voor dynamische optimalisatie) , 2013 .

[16]  Vikash V. Gayah,et al.  On the impacts of locally adaptive signal control on urban network stability and the Macroscopic Fundamental Diagram , 2014 .

[17]  Leandros Tassiulas,et al.  Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks , 1990, 29th IEEE Conference on Decision and Control.

[18]  Anastasios Kouvelas,et al.  Maximum Pressure Controller for Stabilizing Queues in Signalized Arterial Networks , 2014 .

[19]  Nikolas Geroliminis,et al.  Cooperative traffic control of a mixed network with two urban regions and a freeway , 2013 .

[20]  M. Bierlaire,et al.  Discrete Choice Methods and their Applications to Short Term Travel Decisions , 1999 .

[21]  Nikolaos Geroliminis,et al.  On the stability of traffic perimeter control in two-region urban cities , 2012 .

[22]  Lorenz T. Biegler,et al.  On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming , 2006, Math. Program..

[23]  Markos Papageorgiou,et al.  A rolling-horizon quadratic-programming approach to the signal control problem in large-scale conges , 2009 .

[24]  Pravin Varaiya,et al.  Max pressure control of a network of signalized intersections , 2013 .

[25]  Bart De Schutter,et al.  Optimal dynamic route guidance: A model predictive approach using the macroscopic fundamental diagram , 2013, 16th International IEEE Conference on Intelligent Transportation Systems (ITSC 2013).