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

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

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 gr...

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Main Authors: Jiyuan Tan, Xiangyun Shi, Zhiheng Li, Kaidi Yang, Na Xie, Haiyang Yu, Li Wang, Zhengxi Li
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Journal of Sensors
Online Access:http://dx.doi.org/10.1155/2017/6290248
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spelling doaj-8c2ae94dfc494ad3a58206afdf6a20b52020-11-24T20:54:18ZengHindawi LimitedJournal of Sensors1687-725X1687-72682017-01-01201710.1155/2017/62902486290248Continuous and Discrete-Time Optimal Controls for an Isolated Signalized IntersectionJiyuan Tan0Xiangyun Shi1Zhiheng Li2Kaidi Yang3Na Xie4Haiyang Yu5Li Wang6Zhengxi Li7Beijing Key Lab of Urban Intelligent Traffic Control Technology, North China University of Technology, Beijing 100144, ChinaBeijing Key Lab of Urban Intelligent Traffic Control Technology, North China University of Technology, Beijing 100144, ChinaGraduate School at Shenzhen, Tsinghua University, Shenzhen 518055, ChinaThe Institute for Transport Planning and Systems (IVT), ETH Zurich, Zurich, SwitzerlandSchool of Management Science and Engineering, Central University of Finance and Economics, Beijing 100081, ChinaBeijing Key Laboratory for Cooperative Vehicle Infrastructure Systems and Safety Control, School of Transportation Science and Engineering, Beihang University, Beijing 100191, ChinaBeijing Key Lab of Urban Intelligent Traffic Control Technology, North China University of Technology, Beijing 100144, ChinaBeijing Key Lab of Urban Intelligent Traffic Control Technology, North China University of Technology, Beijing 100144, ChinaA 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.http://dx.doi.org/10.1155/2017/6290248
collection DOAJ
language English
format Article
sources DOAJ
author Jiyuan Tan
Xiangyun Shi
Zhiheng Li
Kaidi Yang
Na Xie
Haiyang Yu
Li Wang
Zhengxi Li
spellingShingle Jiyuan Tan
Xiangyun Shi
Zhiheng Li
Kaidi Yang
Na Xie
Haiyang Yu
Li Wang
Zhengxi Li
Continuous and Discrete-Time Optimal Controls for an Isolated Signalized Intersection
Journal of Sensors
author_facet Jiyuan Tan
Xiangyun Shi
Zhiheng Li
Kaidi Yang
Na Xie
Haiyang Yu
Li Wang
Zhengxi Li
author_sort Jiyuan Tan
title Continuous and Discrete-Time Optimal Controls for an Isolated Signalized Intersection
title_short Continuous and Discrete-Time Optimal Controls for an Isolated Signalized Intersection
title_full Continuous and Discrete-Time Optimal Controls for an Isolated Signalized Intersection
title_fullStr Continuous and Discrete-Time Optimal Controls for an Isolated Signalized Intersection
title_full_unstemmed Continuous and Discrete-Time Optimal Controls for an Isolated Signalized Intersection
title_sort continuous and discrete-time optimal controls for an isolated signalized intersection
publisher Hindawi Limited
series Journal of Sensors
issn 1687-725X
1687-7268
publishDate 2017-01-01
description 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.
url http://dx.doi.org/10.1155/2017/6290248
work_keys_str_mv AT jiyuantan continuousanddiscretetimeoptimalcontrolsforanisolatedsignalizedintersection
AT xiangyunshi continuousanddiscretetimeoptimalcontrolsforanisolatedsignalizedintersection
AT zhihengli continuousanddiscretetimeoptimalcontrolsforanisolatedsignalizedintersection
AT kaidiyang continuousanddiscretetimeoptimalcontrolsforanisolatedsignalizedintersection
AT naxie continuousanddiscretetimeoptimalcontrolsforanisolatedsignalizedintersection
AT haiyangyu continuousanddiscretetimeoptimalcontrolsforanisolatedsignalizedintersection
AT liwang continuousanddiscretetimeoptimalcontrolsforanisolatedsignalizedintersection
AT zhengxili continuousanddiscretetimeoptimalcontrolsforanisolatedsignalizedintersection
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