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- Title
Continuous and Discrete-Time Optimal Controls for an Isolated Signalized Intersection.
- Authors
Tan, Jiyuan; Shi, Xiangyun; Li, Zhiheng; Yang, Kaidi; Xie, Na; Yu, Haiyang; Wang, Li; Li, Zhengxi
- Abstract
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.
- Subjects
INTERSECTION theory; DISCRETE-time systems; OPTIMAL control theory; MATHEMATICAL proofs; ALGORITHMS
- Publication
Journal of Sensors, 2017, p1
- ISSN
1687-725X
- Publication type
Article
- DOI
10.1155/2017/6290248