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Discrete Dynamics in Nature and Society
Volume 2014, Article ID 381567, 8 pages
Research Article

Positive Switched System Approach to Traffic Signal Control for Oversaturated Intersection

1School of Transportation and Logistics, Southwest Jiaotong University, Chengdu 610031, China
2Mianyang Vocational and Technical College, Mianyang 621000, China

Received 5 June 2014; Accepted 22 July 2014; Published 17 August 2014

Academic Editor: Weiming Xiang

Copyright © 2014 Lin Du and Yun Zhang. 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.


The online traffic signalization for intersection is addressed. A new model for intersection called positive switched system is presented. Then, based on the dissipativity analysis results for positive switched system, an online state-feedback control strategy for traffic signal in two-phase intersection section is proposed. A numerical example is provided to illustrate the effectiveness of our theoretical findings. Finally, in order to extend to more general cases, multiphase intersection is considered, and general dissipativity-based control is presented.