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Journal of Control Science and Engineering
Volume 2016 (2016), Article ID 4581428, 11 pages
Research Article

The Feedback Control Strategy of the Takagi-Sugeno Fuzzy Car-Following Model with Two Delays

School of Civil Engineering and Transportation, South China University of Technology, Guangzhou, Guangdong 510640, China

Received 28 March 2016; Accepted 13 June 2016

Academic Editor: Roberto Sacile

Copyright © 2016 Cong Zhai et al. 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.


Considering the driver’s sensing the headway and velocity the different time-varying delays exist, respectively, and the sensitivity of drivers changes with headway and speed. Introducing the fuzzy control theory, a new fuzzy car-following model with two delays is presented, and the feedback control strategy of the new fuzzy car-following model is studied. Based on the Lyapunov function theory and linear matrix inequality (LMI) approach, the sufficient condition that the existence of the fuzzy controller is given making the closed-loop system is asymptotic, stable; namely, traffic congestion phenomenon can effectively be suppressed, and the controller gain matrix can be obtained via solving linear matrix inequality. Finally, the simulation examples verify that the method which suppresses traffic congestion and reduces fuel consumption and exhaust emissions is effective.