Model Predictive Control for Freeway Networks Based on Multi-Class Traffic Flow and Emission Models

The main aim of this paper is to use multi-class macroscopic traffic flow and emission models for Model Predictive Control (MPC) for traffic networks. In particular, we use and compare extended versions of multi-class METANET, FASTLANE, multi-class VT-macro, and multi-class VERSIT+. In addition, end-point penalties based on these multi-class traffic flow and emission models are also included in the objective function of MPC to account for the behavior of the traffic system beyond the prediction horizon. A simulation experiment is implemented to evaluate the multi-class models. The results show that the approaches based on multi-class METANET and the extended emission models (multi-class VT-macro or multi-class VERSIT+) can improve the control performance for the total time spent and the total emissions with respect to the non-control case, and they are more capable of dealing with the queue length constraints than the approaches based on FASTLANE. Including end-point penalties can further improve the control performance with a small sacrifice in the computational efficiency for the approaches based on multi-class METANET but not for the approaches based on FASTLANE.

[1]  Gabriel Pinto,et al.  Using the Relationship between Vehicle Fuel Consumption and CO2 Emissions To Illustrate Chemical Principles. , 2008 .

[2]  Bart De Schutter,et al.  Model Predictive Traffic Control Based on a New Multi-Class METANET Model , 2014 .

[3]  C. Daganzo.  Requiem for second-order fluid approximations of traffic flow , 1995 .

[4]  HadiuzzamanMd.,et al.  Cell transmission model based variable speed limit control for freeways , 2013 .

[5]  Andras Hegyi,et al.  Model predictive control for integrating traffic control measures , 2004 .

[6]  Bart De Schutter,et al.  Multi-class traffic flow and emission control for freeway networks , 2013, 16th International IEEE Conference on Intelligent Transportation Systems (ITSC 2013).

[7]  Hesham Rakha,et al.  The effects of route choice decisions on vehicle energy consumption and emissions , 2008 .

[8]  Charles Audet,et al.  Analysis of Generalized Pattern Searches , 2000, SIAM J. Optim..

[9]  Markos Papageorgiou,et al.  Applications of Automatic Control Concepts to Traffic Flow Modeling and Control , 1983 .

[10]  Simona Sacone,et al.  Two-class freeway traffic regulation to reduce congestion and emissions via nonlinear optimal control , 2015 .

[11]  Bart De Schutter,et al.  Model Predictive Control for Multi-Class Traffic Flows , 2009, CTS 2009.

[12]  Norbert Ligterink.  Refined vehicle and driving-behaviour dependencies in the Versit+ emission model , 2009 .

[13]  Solomon Kidane Zegeye,et al.  Model-Based Traffic Control for Sustainable Mobility , 2011 .

[14]  P. I. Richards.  Shock Waves on the Highway , 1956 .

[15]  M J Lighthill,et al.  On kinematic waves II. A theory of traffic flow on long crowded roads , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[16]  Bart De Schutter,et al.  A New Emission Model Including On-ramps for Two-Class Freeway Traffic Control , 2015, 2015 IEEE 18th International Conference on Intelligent Transportation Systems.

[17]  D. Helbing,et al.  On the controversy around Daganzo’s requiem for and Aw-Rascle’s resurrection of second-order traffic flow models , 2008, 0805.3402.

[18]  S. Sacone,et al.  Multiclass freeway traffic: Model Predictive Control and microscopic simulation , 2008, 2008 16th Mediterranean Conference on Control and Automation.

[19]  Markos Papageorgiou,et al.  SOME REMARKS ON MACROSCOPIC TRAFFIC FLOW MODELLING , 1998 .

[20]  S. Bera,et al.  Estimation of origin-destination matrix from traffic counts: the state of the art , 2011 .

[21]  Markos Papageorgiou,et al.  Traffic flow modeling of large-scale motorwaynetworks using the macroscopic modeling tool METANET , 2002, IEEE Trans. Intell. Transp. Syst..

[22]  Fulvio Simonelli,et al.  Quasi-dynamic estimation of o–d flows from traffic counts: Formulation, statistical validation and performance analysis on real data , 2013 .

[23]  Andreas Hegyi,et al.  Vehicle Class–Specific Route Guidance of Freeway Traffic by Model-Predictive Control , 2012 .

[24]  H. Michalska,et al.  Receding horizon control of nonlinear systems , 1988, Proceedings of the 28th IEEE Conference on Decision and Control,.

[25]  Tony Z. Qiu,et al.  Cell Transmission Model-Based Variable Speed Limit Control for Freeways , 2012 .

[26]  Anne Nagel,et al.  Model Predictive Control In The Process Industry , 2016 .

[27]  Markos Papageorgiou,et al.  A rolling-horizon quadratic-programming approach to the signal control problem in large-scale congested urban road networks , 2008 .

[28]  Markos Papageorgiou,et al.  METANET: A MACROSCOPIC SIMULATION PROGRAM FOR MOTORWAY NETWORKS , 1990 .

[29]  Serge P. Hoogendoorn,et al.  Fastlane: New Multiclass First-Order Traffic Flow Model , 2008 .

[30]  Bart De Schutter,et al.  Model predictive control for optimal coordination of ramp metering and variable speed limits , 2005 .

[31]  Lawrence. Davis,et al.  Handbook Of Genetic Algorithms , 1990 .

[32]  Carlos F. Daganzo,et al.  A BEHAVIORAL THEORY OF MULTI-LANE TRAFFIC FLOW. PART I, LONG HOMOGENEOUS FREEWAY SECTIONS , 1999 .

[33]  R. Courant,et al.  On the Partial Difference Equations, of Mathematical Physics , 2015 .

[34]  Mauricio Osses,et al.  Hot Emission Model for Mobile Sources: Application to the Metropolitan Region of the City of Santiago, Chile , 2002, Journal of the Air & Waste Management Association.

[35]  Shing Chung Josh Wong,et al.  A multi-class traffic flow model: an extension of LWR model with heterogeneous drivers , 2002 .

[36]  Marko Bacic,et al.  Model predictive control , 2003 .

[37]  Zissis Samaras,et al.  An Integrated Modeling System for the Estimation of Motor Vehicle Emissions. , 1999, Journal of the Air & Waste Management Association.

[38]  John Hauser,et al.  On the stability of receding horizon control with a general terminal cost , 2005, IEEE Transactions on Automatic Control.

[39]  R. Smokers,et al.  A new modelling approach for road traffic emissions : VERSIT+ , 2007 .

[40]  Bart De Schutter,et al.  A Predictive Traffic Controller for Sustainable Mobility Using Parameterized Control Policies , 2012, IEEE Transactions on Intelligent Transportation Systems.

[41]  Pablo Moscato,et al.  Handbook of Applied Optimization , 2000 .

[42]  István Varga,et al.  Real-time Modeling and Control Objective Analysis of Motorway Emissions , 2012 .

[43]  Huanyu Yue,et al.  MESOSCOPIC FUEL CONSUMPTION AND EMISSION MODELING , 2008 .

[44]  Bart De Schutter,et al.  Integrated traffic flow and emission control based on FASTLANE and the multi-class VT-macro model , 2014, 2014 European Control Conference (ECC).

[45]  Martin L. Hazelton,et al.  Estimation of origin–destination matrices from link counts and sporadic routing data , 2012 .