Real-Time Joint Estimation of Traffic States and Parameters Using Cell Transmission Model and Considering Capacity Drop

This paper contributes to an understudied category of traffic state estimation approaches, i.e. using a Godunov-type discrete traffic flow model (e.g. the Cell Transmission Model, CTM) to simultaneously estimate traffic flow parameters and traffic densities. Our main estimation algorithm is based on the CTM and the extended Kalman filter (EKF). Compared to previous studies, this study has two features. First, we take into account the effect of capacity drop, a factor that is largely ignored by previous studies in traffic state estimation. Second, a separate, supervisory observer capturing the capacity drop mode is attached to the main algorithm. Such a treatment enables the main estimation algorithm to more accurately switch between functions of free-flow regime and congested regime. It thus avoids mismatches between the applied models and the measurements, a common pitfall in conventional CTM-EKF approaches, hence can potentially enhance the quality of estimation. The proposed method was tested using micro-simulation data and showed a satisfactory performance in tracking variations of traffic flow parameters and estimating traffic densities in real time.

[1]  Alexandre M. Bayen,et al.  Traffic state estimation method with efficient data fusion based on the Aw-Rascle-Zhang model , 2017, 2017 IEEE 20th International Conference on Intelligent Transportation Systems (ITSC).

[2]  Srinivasa Srivatsav Kandala,et al.  Analysis of Freeway Bottlenecks , 2014 .

[3]  Wen-Long Jin,et al.  Control of a lane-drop bottleneck through variable speed limits , 2013, 1310.2658.

[4]  Jonathan P. How,et al.  Nonlinearity in Sensor Fusion: Divergence Issues in EKF, modified truncated SOF, and UKF , 2007 .

[5]  Kaan Ozbay,et al.  Development and Evaluation of Online Estimation Methods for Feedback-Based Freeway Ramp Metering Strategy , 2006 .

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

[7]  Alexandre M. Bayen,et al.  Filter comparison for estimation on discretized PDEs modeling traffic: Ensemble Kalman Filter and minimax filter , 2016, 2016 IEEE 55th Conference on Decision and Control (CDC).

[8]  Ashish Bhaskar,et al.  Real-time traffic state estimation in urban corridors from heterogeneous data , 2016 .

[9]  Soyoung Ahn,et al.  Stochastic Modeling of Breakdown at Freeway Merge Bottleneck , 2017 .

[10]  Petros A. Ioannou,et al.  Combined Variable Speed Limit and Lane Change Control for Highway Traffic , 2017, IEEE Transactions on Intelligent Transportation Systems.

[11]  Alexandre M. Bayen,et al.  An ensemble Kalman filtering approach to highway traffic estimation using GPS enabled mobile devices , 2008, 2008 47th IEEE Conference on Decision and Control.

[12]  R. Horowitz,et al.  Highway traffic state estimation using improved mixture Kalman filters for effective ramp metering control , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[13]  Nikolaos Geroliminis,et al.  Empirical observations of capacity drop in freeway merges with ramp control and integration in a first-order model , 2013 .

[14]  Carlos Canudas-de-Wit,et al.  Highway traffic model-based density estimation , 2011, Proceedings of the 2011 American Control Conference.

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

[16]  D. Simon Optimal State Estimation: Kalman, H Infinity, and Nonlinear Approaches , 2006 .

[17]  Alexandre M. Bayen,et al.  State Estimation for the discretized LWR PDE using explicit polyhedral representations of the Godunov scheme , 2013, 2013 American Control Conference.

[18]  Markos Papageorgiou,et al.  Real-time freeway traffic state estimation based on extended Kalman filter: a general approach , 2005 .

[19]  Kaan Ozbay,et al.  Improved Online Estimation Methods for a Feedback-Based Freeway Ramp Metering Strategy , 2006, 2006 IEEE Intelligent Transportation Systems Conference.

[20]  Andreas Hegyi,et al.  Freeway traffic estimation within particle filtering framework , 2007, Autom..

[21]  Hironori Suzuki,et al.  Application of Probe-Vehicle Data for Real-Time Traffic-State Estimation and Short-Term Travel-Time Prediction on a Freeway , 2003 .

[22]  R. Horowitz,et al.  Traffic density estimation with the cell transmission model , 2003, Proceedings of the 2003 American Control Conference, 2003..

[23]  L. H. Immers,et al.  An Extended Kalman Filter Application for Traffic State Estimation Using CTM with Implicit Mode Switching and Dynamic Parameters , 2007, 2007 IEEE Intelligent Transportation Systems Conference.