Hybrid control for over-saturated signalized intersection based on switched system

Wei Ming Xiang, Jian Xiao, Yang Sheng Jiang

Research output: Contribution to journalArticle

Abstract

In order to propose a more effective control method for signalized intersection, the relief of waiting vehicle queue in an oversaturated intersection is viewed as the exponential stability problem of a discretetime switched system, and the overflow of the queue can be viewed as the boundedness problem. Thus, a discrete-time switched system model is constructed for signalized intersection, and exponential stability and boundedness are analyzed based on Lyapunov function method. Meanwhile, the state feedback scheme is designed to set green time, which can relieve the waiting vehicles exponentially and reduce the number of waiting vehicles. Finally, a hybrid control strategy is obtained which is suitable for over- saturated intersection. Compared with commonly used Webster approach, the hybrid control strategy is able to relieve the waiting vehicles faster, which makes the delay time shorter.

Original languageEnglish (US)
Pages (from-to)57-61
Number of pages5
JournalJiaotong Yunshu Xitong Gongcheng Yu Xinxi/Journal of Transportation Systems Engineering and Information Technology
Volume14
Issue number2
StatePublished - Apr 2014
Externally publishedYes

Fingerprint

Hybrid Control
Switched Systems
Intersection
Discrete-time Systems
Exponential Stability
Asymptotic stability
Queue
Control Strategy
Boundedness
system model
Overflow
Delay Time
Lyapunov functions
State feedback
State Feedback
Lyapunov Function
Time delay
time

Keywords

  • Finite-time stability
  • Lyapunov function approach
  • Over-saturated intersection
  • Stability
  • Switched system
  • Urban traffic

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Transportation
  • Computer Science Applications

Cite this

Hybrid control for over-saturated signalized intersection based on switched system. / Xiang, Wei Ming; Xiao, Jian; Jiang, Yang Sheng.

In: Jiaotong Yunshu Xitong Gongcheng Yu Xinxi/Journal of Transportation Systems Engineering and Information Technology, Vol. 14, No. 2, 04.2014, p. 57-61.

Research output: Contribution to journalArticle

@article{450246d1ee8d43af993785ff27fd6697,
title = "Hybrid control for over-saturated signalized intersection based on switched system",
abstract = "In order to propose a more effective control method for signalized intersection, the relief of waiting vehicle queue in an oversaturated intersection is viewed as the exponential stability problem of a discretetime switched system, and the overflow of the queue can be viewed as the boundedness problem. Thus, a discrete-time switched system model is constructed for signalized intersection, and exponential stability and boundedness are analyzed based on Lyapunov function method. Meanwhile, the state feedback scheme is designed to set green time, which can relieve the waiting vehicles exponentially and reduce the number of waiting vehicles. Finally, a hybrid control strategy is obtained which is suitable for over- saturated intersection. Compared with commonly used Webster approach, the hybrid control strategy is able to relieve the waiting vehicles faster, which makes the delay time shorter.",
keywords = "Finite-time stability, Lyapunov function approach, Over-saturated intersection, Stability, Switched system, Urban traffic",
author = "Xiang, {Wei Ming} and Jian Xiao and Jiang, {Yang Sheng}",
year = "2014",
month = "4",
language = "English (US)",
volume = "14",
pages = "57--61",
journal = "Jiaotong Yunshu Xitong Gongcheng Yu Xinxi/ Journal of Transportation Systems Engineering and Information Technology",
issn = "1009-6744",
publisher = "Society of Chinese System Engineering",
number = "2",

}

TY - JOUR

T1 - Hybrid control for over-saturated signalized intersection based on switched system

AU - Xiang, Wei Ming

AU - Xiao, Jian

AU - Jiang, Yang Sheng

PY - 2014/4

Y1 - 2014/4

N2 - In order to propose a more effective control method for signalized intersection, the relief of waiting vehicle queue in an oversaturated intersection is viewed as the exponential stability problem of a discretetime switched system, and the overflow of the queue can be viewed as the boundedness problem. Thus, a discrete-time switched system model is constructed for signalized intersection, and exponential stability and boundedness are analyzed based on Lyapunov function method. Meanwhile, the state feedback scheme is designed to set green time, which can relieve the waiting vehicles exponentially and reduce the number of waiting vehicles. Finally, a hybrid control strategy is obtained which is suitable for over- saturated intersection. Compared with commonly used Webster approach, the hybrid control strategy is able to relieve the waiting vehicles faster, which makes the delay time shorter.

AB - In order to propose a more effective control method for signalized intersection, the relief of waiting vehicle queue in an oversaturated intersection is viewed as the exponential stability problem of a discretetime switched system, and the overflow of the queue can be viewed as the boundedness problem. Thus, a discrete-time switched system model is constructed for signalized intersection, and exponential stability and boundedness are analyzed based on Lyapunov function method. Meanwhile, the state feedback scheme is designed to set green time, which can relieve the waiting vehicles exponentially and reduce the number of waiting vehicles. Finally, a hybrid control strategy is obtained which is suitable for over- saturated intersection. Compared with commonly used Webster approach, the hybrid control strategy is able to relieve the waiting vehicles faster, which makes the delay time shorter.

KW - Finite-time stability

KW - Lyapunov function approach

KW - Over-saturated intersection

KW - Stability

KW - Switched system

KW - Urban traffic

UR - http://www.scopus.com/inward/record.url?scp=84901676838&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84901676838&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84901676838

VL - 14

SP - 57

EP - 61

JO - Jiaotong Yunshu Xitong Gongcheng Yu Xinxi/ Journal of Transportation Systems Engineering and Information Technology

JF - Jiaotong Yunshu Xitong Gongcheng Yu Xinxi/ Journal of Transportation Systems Engineering and Information Technology

SN - 1009-6744

IS - 2

ER -