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


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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.2011.12.022Search in Google Scholar

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.2015.12.010Search in Google Scholar

3. Bar-Shalom, Y., Li, X.R., Kirubarajan, T. (2001) Estimation with Applications to Tracking and Navigation. John Wiley & Sons, Inc.10.1002/0471221279Search in Google Scholar

4. Box, J. (1965) A new method of constrained optimization and a comparison with other methods, Computer Journal, 8, 42–52.10.1093/comjnl/8.1.42Search in Google Scholar

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.1976.5409233Search in Google Scholar

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.2006.1707357Search in Google Scholar

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/s10291-009-0136-1Search in Google Scholar

8. Knapp, C.H. (1972) Traffic estimation and control of bottlenecks. In: Proceedings of IEEE Systems, Men and Cybernetics Conference.Search in Google Scholar

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.2002.806804Search in Google Scholar

10. Marchesini, P., Weijermars, W. (2010) The relationship between road safety and congestion on motorways. SWOV Institute for Road Safety Research, the Netherlands, Leidschendam.Search in Google Scholar

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.2004.1430359Search in Google Scholar

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-2908.00006Search in Google Scholar

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.7.3.269Search in Google Scholar

14. NGSIM dataset, (2005) - http://ops.fhwa.dot.gov/trafficanalysistools/ngsim.htmSearch in Google Scholar

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)00089-3Search in Google Scholar

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.2015.7233107Search in Google Scholar

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.Search in Google Scholar

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.2013.09.006Search in Google Scholar

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)86Search in Google Scholar

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.2017.083781Search in Google Scholar

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.2017.03.005Search in Google Scholar

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.2015.139Search in Google Scholar

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.2014.2342151Search in Google Scholar

24. UCSD (2005) - http://www.svcl.ucsd.edu.Search in Google Scholar

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.2003.7085249Search in Google Scholar

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.2004.03.003Search in Google Scholar

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.2008.06.001Search in Google Scholar

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.2008.4739016Search in Google Scholar

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.Search in Google Scholar

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), 41–50.10.1080/15472450.2013.773225Search in Google Scholar

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