Explicit robust model predictive control for urban Traffic network

Document Type : Original Article

Authors

1 Ph.D., Student, Department of Mathematics, Payame Noor University (PNU), Tehran, Iran.

2 Professor, Department of Mathematics, Payame Noor University (PNU), Tehran, Iran.

3 Associate Professor, Department of Mathematics, Payame Noor University (PNU), Tehran, Iran.

Abstract

Traffic cycle times optimization and route control at urban traffic intersections is an important and complex issue in situations where the network is facing uncertainty. In this paper, a new method for obtaining the optimal traffic signal for the urban traffic network is presented which one of the important features of the proposed method is that uncertain traffic demands are taken into account. For this purpose, among all proposed models for the urban traffic network, a model with the uncertainty is selected, and design a robust model predictive control for this. Besides, to overcome the complexity of online computing, multi-parametric programming has been used to solve the model offline, and the designed controller has been analyzed using traffic data. The results show that while meeting many of the network needs, the proposed control scheme may reduce the amount of online computing, which makes it possible to use it in real urban traffic networks.

Keywords


Aboudolas, K., Papageorgiou, M., Kouvelas, A., and Kosmatopoulos, E., (2010), "A rolling-horizon quadratic-programming approach to the signal control problem in large-scale congested urban road networks", Transportation Research Part C: Emerging Technologies, 18(5), pp. 680-694.
-Aboudolas, K., Papageorgiou, M., and Kosmatopoulos, E., (2009), "Store-and-forward based methods for the signal control problem in large-scale congested urban road networks", Transportation Research Part C: Emerging Technologies, 17(2),
pp.163–174.
-Bemporad, A., Heemels M. and Vejdemo-Johansson, M., (2010), "Networked Control Systems", London, SpringerVerlag.
-Berg, M., Hegyi A., Schutter B., and Hellendoorn, H., (2007), "Integrated traffic control for mixed urban and freeway networks: A model predictive control approach", European Journal of Transport and Infrastructure Research, 7(3).
-Borrelli, F., Bemporad. A. and Morari, M., (2017), "Predictive Control for Linear and Hybrid Systems," London, Cambridge University Press.
-Chui, C. K. and Chen, G., (1989), "Linear Systems and Optimal Control," Berlin, Heidelberg­, Springer-Verlag.
-Frejo, J. R. D., and Camacho, E. F., (2012), "Global versus local mpc algorithms in freeway traffic control with ramp metering and variable speed limits", IEEE Transactions on Intelligent Transportation Systems, 13(4), pp. 1556-1565.
-Lin, S., Schutter, B. D., Xi Y., and Hellendoorn, H., (2011), "Fast model predictive control for urban road networks via MILP", IEEE Transactions on Intelligent Transportation Systems, 12(3), pp. 846– 856.

-Le, T, Vu, H. L., Nazarathy Y., Vo Q. B., and Hoogendoorn, S., (2013), "Linear-quadratic model predictive control for urban traffic networks", Transportation Research Part C: Emerging Technologies, 36, pp. 498 – 512.
-Lu, K., Du, P. J., Cao Q., Zou T. He, and Huang, W., (2019), "A novel traffic signal split approach based on explicit model predictive control", Mathematics and Computers in Simulation, 155, pp. 105 – 114.
 
-Tettamanti, T., Luspay T. Kulcsár B. Péni T. and Varga, I., (2014), “Robust control for urban road traffic networks”, in IEEE Transactions on Intelligent Transportation Systems, 15(1),
pp. 385–398.
-Yin, Y., (2008), "Robust optimal traffic signal timing", Transportation Research Part B: Methodological, 42(10), pp. 911 – 924.