Have a personal or library account? Click to login
Comparative Study of a Super-Twisting Sliding Mode Observer and an Extended Kalman Filter for a Freeway Traffic System Cover

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  
Open Access
|Jul 2015

References

  1. 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. 2. Kohan, R. R. Robust State Estimation and Control of Highway Traffic Systems. Toronto, Electrical and Computer Engineering, University of Toronto, 2001.
  3. 3. Majid, H., H. Abouaissa, D. Jolly, G. Morvan. State Reconstructor for Real-Time Freeway Ramp Metering. - In: ICNSC, 2013, pp. 306-311.10.1109/ICNSC.2013.6548755
  4. 4. Canudas de Wit, C., J. J. E. Slotine. Sliding Observers in Robot Manipulators. - Automatica, Vol. 27, 1991, pp. 859-864.10.1016/0005-1098(91)90041-Y
  5. 5. Hernandez, J., J.-P. Barbot. Sliding Observer-Based Feedback Control for Flexible Joints Manipulator. - Automatica, Vol. 32, 1996, pp. 1243-1254.10.1016/0005-1098(96)00069-6
  6. 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. 7. Utkin, V. I., J. Guldner, J. Shi. Sliding Mode Control in Electromechanical Systems. London, Taylor and Francis, 1999.
  8. 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. 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. 473-478.10.1115/1.1789534
  10. 10. Knapp, C. H. Traffic Estimation and Density Estimation for Single and Multi-Lane Traffic. - Transportation Science, Vol. 7, 1973, pp. 75-84.10.1287/trsc.7.1.75
  11. 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. 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. 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. 141-167.10.1016/j.trb.2004.03.003
  14. 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. 1029-1034.10.1109/ITSC.2006.1707357
  15. 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. 317-345.10.1098/rspa.1955.0089
  16. 16. Richards, P. I. Shock Waves on the Highway. - Operations Research, Vol. 4, 1956, pp. 42-51.10.1287/opre.4.1.42
  17. 17. May, A. D. Traffic Flow Fundamentals. Englewood Cliffs, Prentice Hall, NJ, 1990.
  18. 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. 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. 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. 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. 22. Fillipov, A. F. Differential Equaitons with Discontinous Right-Hand Side. - American Mathematics Society Transactions, Vol. 62, 1960, pp. 199-231.10.1090/trans2/042/13
  23. 23. Floquet, T. Contributions à la commande par modes glissants d’ordre supèrieures. PhD Thesis, Université des Sciences et Techniques de Lille, 2000.
  24. 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. 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. 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. 14353-14358.10.3182/20110828-6-IT-1002.03665
  27. 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. 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. 107-133.10.1007/BFb0027563
  29. 29. Djemai, M., N. Manamani, J.-P. Barbot. Sliding Mode Observer for Triangular Input Hybrid System. - In: Proc. of IFAC World Congress Prague, 2005.10.3182/20050703-6-CZ-1902.00315
  30. 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. 803-815.10.1080/00207720701409330
  31. 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. 1785-1789.10.1109/TAC.2005.858636
  32. 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 3/4.10.1504/IJVD.2008.022576
  33. 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. 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. 10.1504/IJVD.2008.022576
  35. 35. Buisson, C., J. Lesort. Comprendre le trafic routier Méthodes et Calculs. Certu, 2010.
  36. 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. 53-64.10.1049/ip-epa:20020018
  37. 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. 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. 39. Barreto, H., F. M. Howland. Introductory Econometrics Using Monte Carlo Simulation with Microsoft Excel. Cambridge, 2006.10.1017/CBO9780511809231
  40. 40. Hamby, D. M. A Review of Techniques for Parameter Sensitivity Analysis of Environmental Models. - Environmental Monitoring and Assessment, Vol. 32, 1994, pp. 135-154.10.1007/BF0054713224214086
  41. 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, 2013.10.1109/CoDIT.2013.6689513
  42. 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
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
Publication frequency: 4 issues per year

© 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.