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

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...

Full description

Saved in:
Bibliographic Details
Main Authors: Cong Zhai, Weiming Liu, Ling Huang
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2016/4581428
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850233591569580032
author Cong Zhai
Weiming Liu
Ling Huang
author_facet Cong Zhai
Weiming Liu
Ling Huang
author_sort Cong Zhai
collection DOAJ
description 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.
format Article
id doaj-art-0bc2cdb52f974bebb228aa2a50d059b9
institution OA Journals
issn 1687-5249
1687-5257
language English
publishDate 2016-01-01
publisher Wiley
record_format Article
series Journal of Control Science and Engineering
spelling doaj-art-0bc2cdb52f974bebb228aa2a50d059b92025-08-20T02:02:54ZengWileyJournal of Control Science and Engineering1687-52491687-52572016-01-01201610.1155/2016/45814284581428The Feedback Control Strategy of the Takagi-Sugeno Fuzzy Car-Following Model with Two DelaysCong Zhai0Weiming Liu1Ling Huang2School of Civil Engineering and Transportation, South China University of Technology, Guangzhou, Guangdong 510640, ChinaSchool of Civil Engineering and Transportation, South China University of Technology, Guangzhou, Guangdong 510640, ChinaSchool of Civil Engineering and Transportation, South China University of Technology, Guangzhou, Guangdong 510640, ChinaConsidering 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.http://dx.doi.org/10.1155/2016/4581428
spellingShingle Cong Zhai
Weiming Liu
Ling Huang
The Feedback Control Strategy of the Takagi-Sugeno Fuzzy Car-Following Model with Two Delays
Journal of Control Science and Engineering
title The Feedback Control Strategy of the Takagi-Sugeno Fuzzy Car-Following Model with Two Delays
title_full The Feedback Control Strategy of the Takagi-Sugeno Fuzzy Car-Following Model with Two Delays
title_fullStr The Feedback Control Strategy of the Takagi-Sugeno Fuzzy Car-Following Model with Two Delays
title_full_unstemmed The Feedback Control Strategy of the Takagi-Sugeno Fuzzy Car-Following Model with Two Delays
title_short The Feedback Control Strategy of the Takagi-Sugeno Fuzzy Car-Following Model with Two Delays
title_sort feedback control strategy of the takagi sugeno fuzzy car following model with two delays
url http://dx.doi.org/10.1155/2016/4581428
work_keys_str_mv AT congzhai thefeedbackcontrolstrategyofthetakagisugenofuzzycarfollowingmodelwithtwodelays
AT weimingliu thefeedbackcontrolstrategyofthetakagisugenofuzzycarfollowingmodelwithtwodelays
AT linghuang thefeedbackcontrolstrategyofthetakagisugenofuzzycarfollowingmodelwithtwodelays
AT congzhai feedbackcontrolstrategyofthetakagisugenofuzzycarfollowingmodelwithtwodelays
AT weimingliu feedbackcontrolstrategyofthetakagisugenofuzzycarfollowingmodelwithtwodelays
AT linghuang feedbackcontrolstrategyofthetakagisugenofuzzycarfollowingmodelwithtwodelays