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Model based urban traffic control, part I : local model and local model predictive controllers

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Abstract
This paper is the first in a series of reports presenting a framework for the hierarchical design of feedback controllers for traffic lights in urban networks. The goal of the research is to develop an easy to understand methodology for designing model based feedback controllers that use the current state estimate in order to select the next switching times of traffic lights. In this paper we introduce an extension of the cell transmission model that describes with sufficient accuracy the major causes of delay for urban traffic. We show that this model is computationally fast enough such that it can be used in a model predictive controller that decides for each intersection, taking into account the vehicle density as estimated along all links connected to the intersection, what switching time minimizes the local delay for all vehicles over a prediction horizon of a few minutes. The implementation of this local MPC only requires local online measurements and local model information (unlike the coordinated MPC, to be introduced in the next paper in this series, that takes into account interactions between neighbouring intersections). We study the performance of the proposed local MPC via simulation on a simple 4 by 4 Manhattan grid, comparing its delay with an efficiently tuned pretimed control for the traffic lights, and with traffic lights controlled according to the max pressure rule. These simulations show that the proposed local MPC controller achieves a significant reduction in delay for various traffic conditions.
Keywords
Urban traffic control, Cell transmission model, Model predictive control, Decentralized control, CELL TRANSMISSION MODEL, CONTROL-SYSTEM, NETWORK

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MLA
Zhenzhen, Hao, et al. “Model Based Urban Traffic Control, Part I : Local Model and Local Model Predictive Controllers.” TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES, vol. 97, 2018, pp. 61–81.
APA
Zhenzhen, H., Boel, R., & Zhiwu, L. (2018). Model based urban traffic control, part I : local model and local model predictive controllers. TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES, 97, 61–81.
Chicago author-date
Zhenzhen, Hao, René Boel, and Li Zhiwu. 2018. “Model Based Urban Traffic Control, Part I : Local Model and Local Model Predictive Controllers.” TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES 97: 61–81.
Chicago author-date (all authors)
Zhenzhen, Hao, René Boel, and Li Zhiwu. 2018. “Model Based Urban Traffic Control, Part I : Local Model and Local Model Predictive Controllers.” TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES 97: 61–81.
Vancouver
1.
Zhenzhen H, Boel R, Zhiwu L. Model based urban traffic control, part I : local model and local model predictive controllers. TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES. 2018;97:61–81.
IEEE
[1]
H. Zhenzhen, R. Boel, and L. Zhiwu, “Model based urban traffic control, part I : local model and local model predictive controllers,” TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES, vol. 97, pp. 61–81, 2018.
@article{8638946,
  abstract     = {This paper is the first in a series of reports presenting a framework for the hierarchical design of feedback controllers for traffic lights in urban networks. The goal of the research is to develop an easy to understand methodology for designing model based feedback controllers that use the current state estimate in order to select the next switching times of traffic lights. In this paper we introduce an extension of the cell transmission model that describes with sufficient accuracy the major causes of delay for urban traffic. We show that this model is computationally fast enough such that it can be used in a model predictive controller that decides for each intersection, taking into account the vehicle density as estimated along all links connected to the intersection, what switching time minimizes the local delay for all vehicles over a prediction horizon of a few minutes. The implementation of this local MPC only requires local online measurements and local model information (unlike the coordinated MPC, to be introduced in the next paper in this series, that takes into account interactions between neighbouring intersections). We study the performance of the proposed local MPC via simulation on a simple 4 by 4 Manhattan grid, comparing its delay with an efficiently tuned pretimed control for the traffic lights, and with traffic lights controlled according to the max pressure rule. These simulations show that the proposed local MPC controller achieves a significant reduction in delay for various traffic conditions.},
  author       = {Zhenzhen, Hao and Boel, René and Zhiwu, Li},
  issn         = {0968-090X},
  journal      = {TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES},
  keywords     = {Urban traffic control,Cell transmission model,Model predictive control,Decentralized control,CELL TRANSMISSION MODEL,CONTROL-SYSTEM,NETWORK},
  language     = {eng},
  pages        = {61--81},
  title        = {Model based urban traffic control, part I : local model and local model predictive controllers},
  url          = {http://dx.doi.org/10.1016/j.trc.2018.09.026},
  volume       = {97},
  year         = {2018},
}

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