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Real-Time Freeway Traffic State Estimation Based on the Second-Order Divided Difference Kalman Filter Cover

Real-Time Freeway Traffic State Estimation Based on the Second-Order Divided Difference Kalman Filter

By: Asmâa Ouessai and  Mokhtar Keche  
Open Access
|May 2019

References

  1. 1. Ahmadi, M., Khayatian, A., Karimaghaee, P. (2012) Attitude estimation by divided difference filter in quaternion space, Acta Astronautica, 75, 95–107.10.1016/j.actaastro.2011.12.022
  2. 2. Al-Sobky, A.A., Ragab, M. (2016) Traffic density determination and its applications using smartphone, Alexandria Engineering Journal, 513-523.10.1016/j.aej.2015.12.010
  3. 3. Bar-Shalom, Y., Li, X.R., Kirubarajan, T. (2001) Estimation with Applications to Tracking and Navigation. John Wiley & Sons, Inc.10.1002/0471221279
  4. 4. Box, J. (1965) A new method of constrained optimization and a comparison with other methods, Computer Journal, 8, 42–52.10.1093/comjnl/8.1.42
  5. 5. Grewal, M.S., Payne, H.J. (1976) Identification of parameters in a freeway traffic model, IEEE Transportation Systems, Man and Cybernetics, 6(3), 176–185.10.1109/TSMC.1976.5409233
  6. 6. Hegyi, A., Girimonte, D., Babuska, R., De Schutter, B. (2006) A comparison of filter configurations for freeway traffic state estimation. In: Proceedings IEEE ITSC, Toronto, ON, Canada, 1029–1034.10.1109/ITSC.2006.1707357
  7. 7. Jwo, D.J., Hsieh, M.Y., Lai, S.Y. (2010) GPS navigation processing using the quaternion-based divided difference filter”, GPS Solutions, 14, 217-228.10.1007/s10291-009-0136-1
  8. 8. Knapp, C.H. (1972) Traffic estimation and control of bottlenecks. In: Proceedings of IEEE Systems, Men and Cybernetics Conference.
  9. 9. Kotsialos, A., Papageorgiou, M. (2002) Traffic Flow Modeling of Large-Scale Motorway Networks Using the Macroscopic Modeling Tool METANET, IEEE Transactions on Intelligent Transportation Systems, 3(4), 282–292.10.1109/TITS.2002.806804
  10. 10. Marchesini, P., Weijermars, W. (2010) The relationship between road safety and congestion on motorways. SWOV Institute for Road Safety Research, the Netherlands, Leidschendam.
  11. 11. Mihaylova, L., Boel, R. (2004) A particle filter for freeway traffic estimation. In: Proceedings of the 43rd IEEE Conference on Decision and Control, 2106–2111.10.1109/CDC.2004.1430359
  12. 12. Mihaylova, L., Boel, R., Hegyi, A. (2006) An Unscented Kalman filter for freeway traffic estimation. In: Proceedings of 11th IFAC Symposium on Control in Transportation Systems, 31-36.10.3182/20060829-3-NL-2908.00006
  13. 13. Nahi, N.E., Trivedi, A.N. (1973) Recursive estimation of traffic variables: section density and average speed, Transportation Science, 7, 269–286.10.1287/trsc.7.3.269
  14. 14. NGSIM dataset, (2005) - http://ops.fhwa.dot.gov/trafficanalysistools/ngsim.htm
  15. 15. Nørgaard, M., Poulsen, N. K., Ravn, O. (2000) New developments in state estimation for nonlinear systems, Automatica, 36, 1627–1638.10.1016/S0005-1098(00)00089-3
  16. 16. Ouessai, A., Keche, M. (2015) Development of road traffic flow model for nighttime conditions. In: Proceedings of IEEE 3rd International Conference on Control, Engineering & Information Technology (CEIT), 1-6.10.1109/CEIT.2015.7233107
  17. 17. Ouessai, A., Keche, M., Ouamri, A. (2013a) Road traffic congestion estimation with macroscopic parameters. In: Proceedings of IEEE 11th International Symposium on Programming and systems, 29-34.
  18. 18. Ouessai, A., Keche, M., Ouamri, A. (2013b) Road traffic density estimation using microscopic and macroscopic parameters, Journal of Image and Vision Computing, 31, 887–894.10.1016/j.imavis.2013.09.006
  19. 19. Pueboobpaphan, R., Nakatsuji, T. (2006) Real-time traffic state estimation on urban road network: The application of unscented Kalman filter. In: Proceedings of 9th International Conference of Application of Advanced Technology in Transportation Chicago, 542–547.10.1061/40799(213)86
  20. 20. Salhi, H., Bouani, F. (2017) Experimental implementation of MIMO model predictive controllerbased second order divided difference filter for nonlinear systems, International. Journal of Modelling, Identification and Control, 27 (3), 191–199.10.1504/IJMIC.2017.083781
  21. 21. Seo, T., Bayen, A. M., Kusakabe, T., Asakura, Y. (2017) Traffic state estimation on highway: A comprehensive survey, Annual reviews in control, 43(1), 128-151.10.1016/j.arcontrol.2017.03.005
  22. 22. Seo, T., Kusakabe. T., Asakura, Y. (2015) Traffic state estimation with the advanced probe vehicles using data assimilation. In: Proceedings of IEEE 18th International Conference on Intelligent Transportation Systems, 824–830.10.1109/ITSC.2015.139
  23. 23. Thai, J., Bayen, A. M. (2015) State Estimation for Polyhedral Hybrid Systems and Applications to the Godunov Scheme for Highway Traffic Estimation, IEEE Transactions on Automatic Control, 60, 311-326.10.1109/TAC.2014.2342151
  24. 24. UCSD (2005) - http://www.svcl.ucsd.edu.
  25. 25. Wang, Y., Papageorgiou, M. (2003) Motorway traffic state estimation based on extended Kalman filter. In: proceedings of European Control Conference (ECC), 1934-1939.10.23919/ECC.2003.7085249
  26. 26. Wang, Y., Papageorgiou, M. (2005) Real-time freeway traffic state estimation based on extended Kalman filter: a general approach, Transportation Research Part B, 39(2), 141-167.10.1016/j.trb.2004.03.003
  27. 27. Wang, Y., Papageorgiou, M., Messmer, A. (2008) Real-time freeway traffic state estimation based on extended Kalman filter: Adaptive capabilities and real data testing, Transportation Research Part A, 42, 1340-1358.10.1016/j.tra.2008.06.001
  28. 28. Work, D.B., Tossavainen, O.P., Blandin, S., Tracton, K. (2008) An Ensemble Kalman Filtering approach to highway traffic estimation using GPS enabled mobile devices. In: Proceedings of the 47th IEEE Conference on Decision and Control, 5062-5068.10.1109/CDC.2008.4739016
  29. 29. Wu, C., Han, C. (2008) Second-order Divided Difference Filter with Application to Ballistic Target Tracking. In: Proceedings of the 7th World Congress on Intelligent Control and Automation, 6342-6347.
  30. 30. Yuan, Y., Van Lint, H., Van Wageningen-Kessels, F., Hoogendoorn, S. (2014) Network-wide traffic state estimation using loop detector and floating car data, Journal of Intelligent Transportation Systems, 18 (1), 41–50.10.1080/15472450.2013.773225
DOI: https://doi.org/10.2478/ttj-2019-0010 | Journal eISSN: 1407-6179 | Journal ISSN: 1407-6160
Language: English
Page range: 114 - 122
Published on: May 2, 2019
Published by: Transport and Telecommunication Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2019 Asmâa Ouessai, Mokhtar Keche, published by Transport and Telecommunication Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.