Iterative Learning Control Approach for Signaling Split in Urban Traffic Networks with Macroscopic Fundamental Diagrams

Recent analysis of field experiments in cities revealed that a macroscopic fundamental diagram (MFD) relating network outflow and network vehicle accumulation exists in the urban traffic networks. It has been further confirmed that an MFD is well defined if the network has regular network topology and homogeneous spatial distribution of vehicle accumulation. However, many real urban networks have different levels of heterogeneity in the spatial distribution of vehicle accumulation. In order to improve the mobility in heterogeneously congested networks, we propose an iterative learning control approach for signaling split, which aims at distributing the accumulation in the networks as homogeneously as possible and ensuring the networks have a larger outflow. The asymptotic convergence of the proposed approach is proved by rigorous analysis and the effectiveness is further demonstrated by extensive simulations.

[1]  X. Zhou,et al.  Coordinate model predictive control with neighbourhood optimisation for a signal split in urban traffic networks , 2012 .

[2]  H Chen,et al.  SIMULATION STUDY OF OPAC : A DEMAND-RESPONSIVE STRATEGY FOR TRAFFIC SIGNAL CONTROL , 1987 .

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

[4]  Nikolaos Geroliminis,et al.  Estimating MFDs in Simple Networks with Route Choice. , 2013 .

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

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

[7]  Dirk Helbing,et al.  The spatial variability of vehicle densities as determinant of urban network capacity , 2009, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[8]  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.

[9]  Suvrajeet Sen,et al.  Controlled Optimization of Phases at an Intersection , 1997, Transp. Sci..

[10]  C. Daganzo,et al.  Macroscopic relations of urban traffic variables: Bifurcations, multivaluedness and instability , 2011 .

[11]  M. Papageorgiou,et al.  OPTIMAL SIGNAL CONTROL OF URBAN TRAFFIC NETWORKS , 1992 .

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

[13]  HighWire Press Philosophical Transactions of the Royal Society of London , 1781, The London Medical Journal.

[14]  Qiang Luo,et al.  The Study of Reinforcement Learning for Traffic Self-Adaptive Control under Multiagent Markov Game Environment , 2013 .

[15]  Ciprian Dobre,et al.  An Efficient PageRank Approach for Urban Traffic Optimization , 2012 .

[16]  R B Potts,et al.  THE OVERSATURATED INTERSECTION , 1963 .

[17]  Bart De Schutter,et al.  Fast Model Predictive Control for Urban Road Networks via MILP , 2011, IEEE Transactions on Intelligent Transportation Systems.

[18]  Nikolaos Geroliminis,et al.  Properties of a well-defined Macroscopic Fundamental Diagram for urban traffic , 2011 .

[19]  Jean-Loup Farges,et al.  THE PRODYN REAL TIME TRAFFIC ALGORITHM , 1983 .

[20]  Jingwen Yan,et al.  An iterative learning approach for density control of freeway traffic flow via ramp metering , 2008 .

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

[22]  Markos Papageorgiou,et al.  Congestion Control in Urban Networks via Feedback Gating , 2012 .

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

[24]  C. Bielefeldt,et al.  MOTION-a new on-line traffic signal network control system , 1994 .

[25]  Χριστίνα Διακάκη,et al.  Integrated control of traffic flow in corridor networks , 1999 .

[26]  Bart De Schutter,et al.  Efficient network-wide model-based predictive control for urban traffic networks , 2012 .

[27]  S. P. Hoogendoorn,et al.  Routing Strategies Based on Macroscopic Fundamental Diagram , 2012 .

[28]  István Varga,et al.  ESTIMATION OF DYNAMIC ORIGIN DESTINATION MATRIX OF TRAFFIC SYSTEMS , 2005 .

[29]  P R Lowrie,et al.  The Sydney coordinated adaptive traffic system - principles, methodology, algorithms , 1982 .

[30]  Lucas Barcelos de Oliveira,et al.  Multi-agent Model Predictive Control of Signaling Split in Urban Traffic Networks ∗ , 2010 .

[31]  Mingxuan Sun,et al.  Initial shift issues on discrete-time iterative learning control with system relative degree , 2003, IEEE Trans. Autom. Control..

[32]  J. Bokor,et al.  CONSTRAINED SPLIT RATE ESTIMATION BY MOVING HORIZON , 2005 .

[33]  Markos Papageorgiou,et al.  Store-and-forward based methods for the signal control problem in large-scale congested urban road networks , 2009 .

[34]  R D Bretherton,et al.  THE SCOOT ON-LINE TRAFFIC SIGNAL OPTIMISATION TECHNIQUE , 1982 .

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

[36]  F. Webster TRAFFIC SIGNAL SETTINGS , 1958 .

[37]  Suguru Arimoto,et al.  Bettering operation of Robots by learning , 1984, J. Field Robotics.

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

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