Feedback Routing via Congestion Pricing

  • Pushkin Kachroo
  • Kaan M. A. Özbay
Part of the Advances in Industrial Control book series (AIC)


This chapter addresses a control design for performing dynamic congestion pricing as a method to perform traffic assignment to achieve certain objective. The design uses the methodology of optimal control theory. The formulation allows for modeling tolled and non-tolled lanes or routes. A logit model connects the toll price with the driver choice behavior. A feedback optimal tolling control law is designed based on deriving the corresponding Hamilton–Jacobi–Bellman equation for the model of the system. Simulations are also presented to illustrate the working of the control design. Some of the content of this chapter has been adapted from the following paper: \(\copyright \) 2016 IEEE. Reprinted, with permission, from: Kachroo P, Gupta S, Agarwal S, Özbay K., “Optimal Control for Congestion Pricing: Theory, Simulation, and Evaluation,” IEEE Transactions on Intelligent Transportation Systems. 2017 May; 18(5):1234–40.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Electrical and Computer EngineeringUniversity of NevadaLas VegasUSA
  2. 2.Department of Civil and Urban EngineeringNew York UniversityBrooklynUSA

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