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Journal of Sensors
Volume 2017, Article ID 6290248, 11 pages
Research Article

Continuous and Discrete-Time Optimal Controls for an Isolated Signalized Intersection

1Beijing Key Lab of Urban Intelligent Traffic Control Technology, North China University of Technology, Beijing 100144, China
2Graduate School at Shenzhen, Tsinghua University, Shenzhen 518055, China
3The Institute for Transport Planning and Systems (IVT), ETH Zurich, Zurich, Switzerland
4School of Management Science and Engineering, Central University of Finance and Economics, Beijing 100081, China
5Beijing Key Laboratory for Cooperative Vehicle Infrastructure Systems and Safety Control, School of Transportation Science and Engineering, Beihang University, Beijing 100191, China

Correspondence should be addressed to Haiyang Yu; nc.ude.aaub@uyyh

Received 13 March 2017; Revised 29 June 2017; Accepted 19 July 2017; Published 7 September 2017

Academic Editor: Jia Hu

Copyright © 2017 Jiyuan Tan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A classical control problem for an isolated oversaturated intersection is revisited with a focus on the optimal control policy to minimize total delay. The difference and connection between existing continuous-time planning models and recently proposed discrete-time planning models are studied. A gradient descent algorithm is proposed to convert the optimal control plan of the continuous-time model to the plan of the discrete-time model in many cases. Analytic proof and numerical tests for the algorithm are also presented. The findings shed light on the links between two kinds of models.