Skip to main content
Have a personal or library account? Click to login
Macroscopic Traffic Flow Control Via State Estimation Cover

Macroscopic Traffic Flow Control Via State Estimation

Cybernetics and Information Technologies
Volume 15 (2015): Issue 5 (April 2015)
By:  and    
Open Access
|Apr 2015
References

References

  1. 1. Abouaissa, H., V. Iordanova. Algebraic Methods for Traffic Flow Densities Estimation. - a. Cybernetics and Information Technologies, Vol. 13, 2013, No 4, pp. 5-17.
    Open DOISearch in Google Scholar
  2. 2. Diop, S., M. Fliess. On Nonlinear Observability. - In: Proc. of 1st Europ. Control. Conf., a. Hermes, 1991, pp. 152-157.
    Search in Google Scholar
  3. 3. Diop, S., M. Fliess. Nonlinear Observability, Identifiability and Persistent Trajectorie. - In: a. Proc. of 26th IEEE Conf. Decision Control, Brighton, 1991, pp. 714-719.
    Search in Google Scholar
  4. 4. Fillip o v, A. F. Differential Equations with Discontinuous Right-Hand Side. - American a. Mathematics Society Transactions, Vol. 62, 1960, pp. 199-231.
    Open DOISearch in Google Scholar
  5. 5. Fliess, M., H. Sir a-R a m 1 r e z. Reconstructeurs d’etat. Comp. Rend. Acad. Sci. Paris, Ser. I, a. 338, 2004. pp. 91-96.
    Open DOISearch in Google Scholar
  6. 6. Fliess, M., C. Join, H. S ira-Ramirez. Robust Residual Generation for Linear Fault Diagnosis: An Algebraic Setting with Examples, Internat. - J. Control, Vol. 77, 2004, pp. 1223-1242.
    Open DOISearch in Google Scholar
  7. 7. Fliess, M., C. Join, H. Mounier. An Introduction to Nonlinear Fault Diagnosis with an Application to a Congested Internet Router. - In: Lecture Note Advances in Communication and Control Networks. Vol. 308. Springer, 2005.
    Open DOISearch in Google Scholar
  8. 8. Fliess, M., C. Join, H. S ira-Ramirez. Nonlinear Estimation Is Easy. - Int. J. Model. Identif. Control, 2008, No 4, pp. 12-27. http://hal.archives-ouvertes.fr/inria-00158855/fr/
    Open DOISearch in Google Scholar
  9. 9. Floquet, T. Contributions a la commande par modes glissants d’ordre superieures. PhD Thesis, 14. 2000.
    Search in Google Scholar
  10. 10. Gazis, D. C., C. H. Knapp. On-Line Estimation of Traffic Densities from Times-Series of Flow and Speed Data. - Transportation Science, 1971, No 5, pp. 283-302.
    Open DOISearch in Google Scholar
  11. 11. Hilliges, M., W. Weidlich. A Phenomenological Model for Dynamic Traffic Flow in Networks. - Transportation Research B., 1995, No 6, pp. 407-431.
    Open DOISearch in Google Scholar
  12. 12. Knapp, C. H. Traffic Estimation and Density Estimation for Single and Multi-Lane Traffic. -20. Transportation Science, 1973, No 7, pp. 75-84.
    Open DOISearch in Google Scholar
  13. 13. Kohan, R. Robust State Estimation and Control of Highway Traffic Systems. PhD Thesis, 22. Electrical and Computer Engineering, University of Toronto, 2001.
    Search in Google Scholar
  14. 14. Majid, H., H. Abouaissa, D. Jolly, G. Morvan. State Reconstructor for Real-Time Freeway Ramp Metering. - In: Proc. of 10th IEEE International Conference on Networking, Sensing and Control, ICNSC, Paris, France, April, 2013.
    Open DOISearch in Google Scholar
  15. 15. May, A. D. Traffic Flow Fundamentals, Transportation and Traffic Theory in the 21st Century. -26. In: ISTTT. Englewood Cliffs, NJ, Prentice-Hall, 1990.
    Search in Google Scholar
  16. 16. Mboup, M., C. Join, M. Fliess. A Revised Look at Numerical Differentiation with an Application to Nonlinear Feedback Control. - In: 15 th Mediterrean Conference on Control and Automation (MED.07), 2007. http://hal.inria.fr/inria/00142588/fr/
    Open DOISearch in Google Scholar
  17. 17. Mihaylova, L., R. B o e l. A Particle Filter for Freeway Traffic Estimation. - In: Proc. of 43rd IEEE Conf. on Decision and Control, 14-17 December 2004, Atlantis, Paradise Island, Bahamas, pp. 2106-2111.
    Open DOISearch in Google Scholar
  18. 18. Nahi, N.E., A. N. Trivedi. Recursive Estimation of Traffic Variables: Section Density and Average Speed. Tech. Report, 1976. University of Southern California, Los Angeles.
    Search in Google Scholar
  19. 19. 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.
    Search in Google Scholar
  20. 20. Sun, X.,L. Munoz, R. Horowitz. Mixture Kalman Filter Based Highway Congestion Mode and Vehicle Density Estimator and Its Application. - In: American Control Conference, 2004, pp. 2098-2103.
    Search in Google Scholar
  21. 21. Wang, Y., M. Papageorgiou, A. Messmer. Real-Time Freeway Traffic State Estimation Based on Extended Kalman Filter: Adaptive Capabilities and Real Data Testing. - Transport. Research A, 2008, No 42, pp. 1340-1358.
    Open DOISearch in Google Scholar
  22. 22. Yosida, K. Operational Calculus: A Theory of Hyperfunctions. Springer, 1984 (Translated from Japanese).
    Open DOISearch in Google Scholar
DOI: https://doi.org/10.1515/cait-2015-0013 | Journal eISSN: 1314-4081 | Journal ISSN: 1311-9702 (formerly 1314-4081)
Journal RSS Feed
Language: English
Page range: 5 - 16
Published on: Apr 30, 2015
Published by: Bulgarian Academy of Sciences, Institute of Information and Communication Technologies
In partnership with: Paradigm Publishing Services
Keywords:
Macroscopic model,
estimation,
freeway traffic control,
sliding mode,
algebraic method,
differential flatness
Related subjects:
Computer sciences,
Information technology

© 2015 H. Abouaïssa, H. Majid, 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.

Volume 15 (2015): Issue 5 (April 2015)
Previous article
Next article