Comparative Study of a Super-Twisting Sliding Mode Observer and an Extended Kalman Filter for a Freeway Traffic System
By: H. Majid and H. Abouaïssa

References
- 1. Sun, X., L. Munoz, R. Hrowitz. Mixture Kalman Filter Based Highway Congestion Mode and Vehicle Density Estimator and its Application. - In: Proc. of American Control Conference, 2004, pp. 2098-2103.
- 2. Kohan, R. R. Robust State Estimation and Control of Highway Traffic Systems. Toronto, Electrical and Computer Engineering, University of Toronto, 2001.
- 3. Majid, H., H. Abouaissa, D. Jolly, G. Morvan. State Reconstructor for Real-Time Freeway Ramp Metering. - In: ICNSC, 2013, pp. 306-311.
- 4. Canudas de Wit, C., J. J. E. Slotine. Sliding Observers in Robot Manipulators. - Automatica, Vol. 27, 1991, pp. 859-864.
- 5. Hernandez, J., J.-P. Barbot. Sliding Observer-Based Feedback Control for Flexible Joints Manipulator. - Automatica, Vol. 32, 1996, pp. 1243-1254.
- 6. Manamanni, N., M. Djemai, T. Boukhobza, N. M’Siridi. Nonlinear Sliding Observer Based Control for a Pneumatic Robot Leg. - Int. J. of Robotics and Automation, Vol. 16, 2001, pp. 100-112.
- 7. Utkin, V. I., J. Guldner, J. Shi. Sliding Mode Control in Electromechanical Systems. London, Taylor and Francis, 1999.
- 8. Djemai, M., J.-P. Barbot, A. Glumineau, R. Boisliveau. Non-Linear Flux Sliding Mode Observer. - In: Proc. of IEEE CSCC99, IMACS, Athens, Greece, 1999.
- 9. Martinez-Guerra, R., R. Aguilar-Lopez, A. Poznyak. Robust Sliding Mode Observers for On-Line Reaction Heat Monitoring in Continuous Chemical Reactors. - ASME Journal of Dynamics Systems, Measurment and Control, Vol. 126, 2004, pp. 473-478.
- 10. Knapp, C. H. Traffic Estimation and Density Estimation for Single and Multi-Lane Traffic. - Transportation Science, Vol. 7, 1973, pp. 75-84.
- 11. Chris, M., J. Tqmpère, L. H. Immers. An Extended Kalman Filter Application for Traffic State Estimation Using CTM with Implicit Mode Switching and Dynamic Parameters. 2007.
- 12. Sun, X., L. Munoz, R. Horowitz. Highway Traffic State Estimation Using Improved Mixture Kalman Filters for Effective Ramp Metering Control. - In: Proc. of Conference on Decision and Control, 2003.
- 13. Wang, Y., M. Papageorgiou. Real-Time Freeway Traffic State Estimation Based on Extended Kalman Filter: A General Approach. - Transportation Research Part B, Vol. 39, 2005, pp. 141-167.
- 14. Hegyi, A., D. Girimonte, R. Babuska, B. de Schutter. A Comparison of Filter Configurations for Freeway Traffic State Estimation. - In: Proc. of 2006 IEEE Intelligent Transportation Systems Conference (ITSC’2006), Toronto, Canada, 2006, pp. 1029-1034.
- 15. Lighthill, M. J., G. B. Whitham. On Kinematic Waves II: A Theory of Traffic Flow in Long Crowded Roads. - Proc. Royal Soc. London, Vol. A-229, 1955, pp. 317-345.
- 16. Richards, P. I. Shock Waves on the Highway. - Operations Research, Vol. 4, 1956, pp. 42-51.
- 17. May, A. D. Traffic Flow Fundamentals. Englewood Cliffs, Prentice Hall, NJ, 1990.
- 18. Payne, H. J. Models of Freeway Traffic and Control. - In: G. A. Bekey, Ed. Mathematical Models of Public Systems. Vol. 1. Simulation Council Procceedings Series. La Jolia California, 1971, pp. 51-61.
- 19. Messemer, A., M. Papageorgiou. METANET: A Macroscopic Simulation Program for Motorway Networks. - Traffic Engineering and Control, Vol. 31, 1990, No 9, pp. 446-470.
- 20. Messner, A., M. Papageorgiou. METANET - A Simulation Program for Motorway Networks. -Traffic Engineering and Control, Vol. 31, 1990, No 8-9, pp. 466-470.
- 21. Lamon, F. Freeway Traffic Modeling and Calibration for the Eindhoven Network. Master’s Thesis, Delft University of Technology. Delft Center for Systems and Control, 2008.
- 22. Fillipov, A. F. Differential Equaitons with Discontinous Right-Hand Side. - American Mathematics Society Transactions, Vol. 62, 1960, pp. 199-231.
- 23. Floquet, T. Contributions à la commande par modes glissants d’ordre supèrieures. PhD Thesis, Université des Sciences et Techniques de Lille, 2000.
- 24. Rolink, M., T. Boukhobza, D. Sauter. High Order Sliding Mode Observer for Fault Actuator Estimation and Its Application to the Three Tanks Benchmark. In Author Manuscript, 2006.
- 25. Solvar, S., V. Le, M. Ghanes, J.-P. Barbot, G. Santomenna. Observateur à mode glissant d’ordre 2 pour la machine asynchrone sans capteur mécanique. In Author Manuscript, Published in CIFA, Nancy, France, 2010.
- 26. Salgado, I., I. Chairez, J. Moreno, L. Fridman, A. Poznyak. Generalized Super- Twisting Observer for Non Linear Systems. - In: Preprints of the 18th IFAC World Congress Milano (Italy), 28 August-2 September 2011, pp. 14353-14358.
- 27. Rabhi, A., N. K. M’Sirdi, M. Ouladsine, L. Fridman. Estimation of Road Profile Using Second Order Sliding Mode Observer. In Authour Manuscript, 2010.
- 28. Fridman, L., A. Levant. Sliding Modes of Higher Order as a Natural Phenomenon in Control Theory. Technical Report. - In: Robust Control via Variable Structure and Lyapunov Techniques. Lecture Notes in Control and Information Science, Vol. 217. F. Garofalo, L. Glielmo, Eds. London, Springer Verlag, 1996, pp. 107-133.
- 29. Djemai, M., N. Manamani, J.-P. Barbot. Sliding Mode Observer for Triangular Input Hybrid System. - In: Proc. of IFAC World Congress Prague, 2005.
- 30. Floquet, T., J.-P. Barbot. Super Twisting Algorithm Based Step-By-Step Sliding Mode Observers for Nonlinear Systems with Unknown Inputs. - International Journal of Systems Science, Vol. 38, 2007, No 10, pp. 803-815.
- 31. Davila, J., L. Fridman, A. Levant. Second-Order Sliding Mode Observer for Mechanical Systems. - IEEE Transactions on Automatic Control, Vol. 50, 2005, No 11, pp. 1785-1789.
- 32. M’Sirdi, N. K., A. Rabhi, L. Fridman, J. Davila, Y. Delanne. Second Order Sliding Mode Observer for Estimation of Velocities, Wheel Sleep, Radius and Stiffness. - Int. J. Vehicle Design, Vol. 48, 2008, No 3/4.
- 33. Saadaoui, H., M. Djemai, N. Manamanni, K. Bemansour. Super Twisting Algorithm Observer for a Class of Switched Chaotic Systems. In Authour Manuscript, 2010.
- 34. M’Sirdi, N. K., A. Rhbhi, L. Fridman, J. Davila, Y. Delanne. Second Order Sliding- Mode Observer for Estimation of Vehicle Dynamic Parameters. - Int. J. Vehicule Design, Vol. 48, 2008, No 3/4, pp. 190-207.
- 35. Buisson, C., J. Lesort. Comprendre le trafic routier Méthodes et Calculs. Certu, 2010.
- 36. Chen, F., M. W. Dunnigan. Comparative Study of a Sliding-Mode Observer and Kalman Filters for Full State Estimation in an Induction Machine. - IEE Proc. Electr. Power Appl., Vol. 149, 2002, No 1, pp. 53-64.
- 37. Papageorgiou, M., H. Hadj-Salem, J. Blosseville. Alinea: A Local Feedback Control Law for On-Ramp Metering. Transportation Research Record, Vol. 1320, 1991, pp. 58-64.
- 38. Papageorgiou, M., H. Hadj-Salem, F. Middleham. Alinea Local Ramp Metering : Summary of Fields Results. - Transportation Research Record, Vol. 1603, 1997, pp. 90-98.
- 39. Barreto, H., F. M. Howland. Introductory Econometrics Using Monte Carlo Simulation with Microsoft Excel. Cambridge, 2006.
- 40. Hamby, D. M. A Review of Techniques for Parameter Sensitivity Analysis of Environmental Models. - Environmental Monitoring and Assessment, Vol. 32, 1994, pp. 135-154.
- 41. Majid, H., H. Abouaissa, D. Jolly, G. Morvan. A Reduced Order Observer for Switching-Mode Model State Estimation. - In: Proc. of International Conference on Control, Decision and Information Technologies (CoDIT), Hammamet, 2013.
- 42. Majid, H. Gestion du trafic autoroutier: contribution à l’estimation et à la commande des systèmes de transport intelligents. Presses Académiques Francophones, 2015.
DOI: https://doi.org/10.1515/cait-2015-0034 | Journal eISSN: 1314-4081 | Journal ISSN: 1311-9702 (formerly 1314-4081)
Language: English
Page range: 141 - 158
Published on: Jul 3, 2015
Published by: Bulgarian Academy of Sciences, Institute of Information and Communication Technologies
In partnership with: Paradigm Publishing Services
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© 2015 H. Majid, H. Abouaïssa, published by Bulgarian Academy of Sciences, Institute of Information and Communication Technologies
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.