Abstract
The aim of this chapter is to develop models for network-level traffic systems and, moreover, to design feedback controllers for network-level traffic problems in user-equilibrium as well as system-optimal settings. In order to do so, the chapter develops the network-level traffic dynamics for the traffic assignment problem and also shows the objective functions for the user-equilibrium and the system-optimal cases. Link-based and route-based models are presented from literature. Dynamic traffic assignment problem is formulated in the structure of an \(H_{\infty }\) control problem, so that the solution techniques available for the controller can be applied to the traffic assignment problem. A sample problem is presented and control design steps for that problem are presented.
This chapter is ©1997 IEEE, adapted with permission from the paper by Pushkin Kachroo, and Kaan Özbay, Feedback Control Solutions to Network Level User-Equilibrium Real-Time Dynamic Traffic Assignment Problems, Proceedings of IEEE Southeastcon 97, Blacksburg, VA, April 12–14, 1997, DOI: https://doi.org/10.1109/SECON.1997.598598.
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Kachroo, P., Özbay, K.M.A. (2018). Feedback Control for Network-Level Dynamic Traffic Routing. In: Feedback Control Theory for Dynamic Traffic Assignment. Advances in Industrial Control. Springer, Cham. https://doi.org/10.1007/978-3-319-69231-9_9
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DOI: https://doi.org/10.1007/978-3-319-69231-9_9
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