Feedback Control for Network Level Dynamic Traffic Routing

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


The technique we propose in this chapter solves the network-wide system-optimal and user-equilibrium DTA/DTR problem using real-time feedback control. We employ nonlinear H feedback control design methodology to produce the solution of the problem, which also provides robustness against bounded disturbances. The nonlinear H problem is seen as a two player zero-sum differential game played by the control action (route guidance system) and the disturbances in the system (bounded unmodeled dynamics and uncertainties) [1–8]. The solution of the nonlinear H problem relies on solving a stationary Hamilton-Jacobi inequality [1–8]. The modeling paradigm of nonlinear H approach is an exact match with the requirements of a network-wide DTA/DTR problem applicable to Advanced Traffic Management/Information Systems (ATMIS) of Intelligent Transportation Systems (ITS), because it solves the optimal dynamic routing problem by only performing simple algebraic operations in real-time, unlike existing techniques which rely on lengthy off-line/on-line mathematical operations. The theory developed for network-wide problem is applied to a sample network.


Feedback Control Differential Game Sample Network Dynamic Traffic Link Density 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag 1999

Authors and Affiliations

  • Pushkin Kachroo
    • 1
  • Kaan Özbay
    • 2
  1. 1.Bradley Department of Electrical and Computer EngineeringVirginia Polytechnic Institute and State UniversityBlacksburgUSA
  2. 2.Department of Civil and Environmental EngineeringRutgers UniversityPiscatawayUSA

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