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

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Jiyuan Tan , Xiangyun Shi , Zhiheng Li , Kaidi Yang , Na Xie , Haiyang Yu , Li Wang , Zhengxi Li ·

YOU? · · 2017 · Open Access · · DOI: https://doi.org/10.1155/2017/6290248

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.

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Intersection (aeronautics) Discrete time and continuous time Plan (archaeology) Control (management) Mathematical optimization Optimal control Control theory (sociology) Computer science Gradient descent Focus (optics) Descent (aeronautics) Algorithm Mathematics Engineering Artificial intelligence Transport engineering Statistics Aerospace engineering History Archaeology Optics Artificial neural network Physics

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Type: article
Language: en
Landing Page: https://doi.org/10.1155/2017/6290248
PDF: http://downloads.hindawi.com/journals/js/2017/6290248.pdf
OA Status: hybrid
Cited By: 5
References: 22
Related Works: 10
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DOI: https://doi.org/10.1155/2017/6290248

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

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Type: article

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Language: en

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Publication year: 2017

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Publication date: 2017-01-01

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Authors: Jiyuan Tan, Xiangyun Shi, Zhiheng Li, Kaidi Yang, Na Xie, Haiyang Yu, Li Wang, Zhengxi Li

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Landing page: https://doi.org/10.1155/2017/6290248

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Concepts: Intersection (aeronautics), Discrete time and continuous time, Plan (archaeology), Control (management), Mathematical optimization, Optimal control, Control theory (sociology), Computer science, Gradient descent, Focus (optics), Descent (aeronautics), Algorithm, Mathematics, Engineering, Artificial intelligence, Transport engineering, Statistics, Aerospace engineering, History, Archaeology, Optics, Artificial neural network, Physics

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Cited by: 5

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Citations by year (recent): 2024: 1, 2023: 1, 2021: 2, 2019: 1

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References (count): 22

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