Modern traffic control systems in state-space approach

Authors

  • Tamás Luspay Hungarian Academy of Sciences, Computer and Automation Research Institute, System and Control Laboratory, H-1111 Budapest, Kende str. 13–17.
  • István Varga Hungarian Academy of Sciences, Computer and Automation Research Institute, System and Control Laboratory, H-1111 Budapest, Kende str. 13–17.

Keywords:

state-space theory, road traffic, state estimation, traffic control

Abstract

The paper deals with the modern system and control theoretical approach of road traffic automation. Classical road traffic modelling takes the special characteristics into consideration, which mathematical equations could be cast into a general state-space form of dynamical systems. The first section of the paper introduces the state-space model of urban intersections and of freeway traffic flow; the paper also shows the simulation results of these models. Based on these state-space models one could apply the results of the modern and post-modern system- and control theory; one could develop so called observers and optimal control strategies for road traffic systems. The second part of the paper negotiates the results in estimation procedures of road traffic variables. These procedures multiply the available data set which could be used through the controller design procedure. The third part of the paper shows the control problems of road traffic systems. First a simply urban intersection control then the problem of coordinated intersection control has been investigated. The simulation results are quite promising in both cases. Finally the problem of freeway traffic control has been discussed, the paper shows the simulation results of how the coordinated freeway control could prevent traffic breakdown.

Author Biography

  • Tamás Luspay, Hungarian Academy of Sciences, Computer and Automation Research Institute, System and Control Laboratory, H-1111 Budapest, Kende str. 13–17.

    corresponding author
    tluspay@sztaki.hu

References

Bokor J., Kurutz K., Kohut M., Gáspár P. (1998). Segédletek az „Irányítástechnika 2” című tárgyhoz. Egyetemi jegyzet BME KAUT : Budapest

Diakaki C, Papageorgiou M, Aboudolas K. (2002). A multivariable regulator approach to traffic-responsive network-wide signal control. Control Engineering Practice, Elsevier Ltd., 10(2), 183–195. https://doi.org/10.1016/S0967-0661(01)00121-6

Kulcsár B., Varga I., Bokor J. (2005). Constrained Split Rate Estimation by Moving Horizon. 16th IFAC World Congress Prague, Czech Republic, Jul. 3–8, 2005. IFAC Proceedings, 38(1), 78–83. https://doi.org/10.3182/20050703-6-CZ-1902.02036

Luspay T. (2006). Automatikus Eseménydetektálás Kalman-szűrővel. BME KAUT, Diplomamunka

Maciejowski J. M. (2002). Predictive Control with Constraints. Prentice Hall

Lighthill M. J., Whitham G. B. (1955). On kinematic waves, Part I.: Flood movement in long rivers, Part II.: A theory of traffic flow on long crowded roads. Proceedings of Royal Society, A229, 281–345. https://doi.org/10.1098/rspa.1955.0089

Papageorgiou M., Blosseville J. M., Hadj-Salem H. (1990). Modelling and real-time control of traffic flow ont he southern part of Boulevard Peripherique in Paris. Transpn. Res. A. 24(5), 345–359. https://doi.org/10.1016/0191-2607(90)90047-A

Rao V. C. (2000). Moving Horizon strategies for the constrained Monitoring and Control of Nonlinear Discrete-Time Systems. PhD Thesis U. Of Wisconsin-Maidson

Varga I. (2006). Közúti folyamatok paramétereinek modell alapú becslése és forgalom- függő irányítás. BMGE Közlekedésmérnöki Kar, Doktori (PhD) értekezés

Wang, Y., Papageorgiou M., Messmer A. (2005). An Adaptive Freeway Traffic State Estimator and Its Real-Data Testing–Part I-II. ITSC’05 Wien, 2005. Sept. 13–16.

Welch, G., Bishop, G. (2004). An Introduction to the Kalman Filter. http://www.cs.unc.edu

Published

2007-07-15

How to Cite

Luspay, T., & Varga, I. (2007). Modern traffic control systems in state-space approach. Acta Agraria Kaposváriensis, 11(2), 235-248. https://journal.uni-mate.hu/index.php/aak/article/view/1885

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