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The congestion of pedestrian traffic occurs easily at the bottleneck. Barriers could impede pedestrian channel, but it can ensure the smooth flow of pedestrians. Quasi-sliding mode control will be introduced in LWR model.The control variable can be derived for simulation at the impact of barriers. Based on the three-lane macroscopic traffic flow model, we carry out simulation to verify our control methods.The results indicate that the maximum pedestrian flow can be maintained due to the threshold value of the quasi-sliding mode control variables as the threshold value corresponds to one of the maximum flows in the fundamental diagram. Optimization of control variables can improve efficiency of one-way pedestrian at bottleneck.
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Keywords:
- bottleneck /
- quasi-sliding-mode control /
- LWR model
[1] Lighthill M J, Whitham G B 1955 Proc.R. Soc.A 229 1178
[2] May A D 1990 Traffic Flow Fundamentals (Prentice Hall,New Jersey) p210
[3] Zhu Hui,Wu Zheng,Lin Zhanxi 2009 CJTAM 41 4248(in Chinese)[朱 辉、吴 正、林展熙 2009 力学学报 41 4248]
[4] PushkinKachroo P E, Wadoo S A, Al-nasur S J, Shende A 2008 Pedestrian Dynamics Feedback Control of Crowd Evacuation (Berlin: Springer-Verlag) p96
[5] liu J K (Beijing: [流金琨 2005 滑模变结构控制MATLAB仿真 (北京:清华大学出版社)第44页]
[6] Yue H, Shao C F, Yao Z S 2009 Acta Phys. Sin. 58 4523(in Chinese)[岳 昊、邵春福、姚智胜 2009 58 4523]
[7] Zhou J W, Kuan H, Liu M R, Kong L J 2009 Acta Phys. Sin. 58 3001(in Chinese)[周金旺、邝 华、刘慕仁、孔令江 2009 58 3001]
[8] Xue Y, Tian H H, He H D, Lu W Z, Wei Y F 2009 Eur. Phys. J. B 69 289
[9] Tian H H,Xue Y,He H D,Wei Y F,Lu W Z 2009 Physica A 388 2895
[10] Greenshields B D 1935 HRB 14 458
[11] Papageorgiou M 1983 Application of automatic control concepts to traffic flow modeling and control (Spring-Verlag,New York) p 4
[12] Jiang R, Wu Q S, Zhu Z J 2002 Transp. Res. B 36 405
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[1] Lighthill M J, Whitham G B 1955 Proc.R. Soc.A 229 1178
[2] May A D 1990 Traffic Flow Fundamentals (Prentice Hall,New Jersey) p210
[3] Zhu Hui,Wu Zheng,Lin Zhanxi 2009 CJTAM 41 4248(in Chinese)[朱 辉、吴 正、林展熙 2009 力学学报 41 4248]
[4] PushkinKachroo P E, Wadoo S A, Al-nasur S J, Shende A 2008 Pedestrian Dynamics Feedback Control of Crowd Evacuation (Berlin: Springer-Verlag) p96
[5] liu J K (Beijing: [流金琨 2005 滑模变结构控制MATLAB仿真 (北京:清华大学出版社)第44页]
[6] Yue H, Shao C F, Yao Z S 2009 Acta Phys. Sin. 58 4523(in Chinese)[岳 昊、邵春福、姚智胜 2009 58 4523]
[7] Zhou J W, Kuan H, Liu M R, Kong L J 2009 Acta Phys. Sin. 58 3001(in Chinese)[周金旺、邝 华、刘慕仁、孔令江 2009 58 3001]
[8] Xue Y, Tian H H, He H D, Lu W Z, Wei Y F 2009 Eur. Phys. J. B 69 289
[9] Tian H H,Xue Y,He H D,Wei Y F,Lu W Z 2009 Physica A 388 2895
[10] Greenshields B D 1935 HRB 14 458
[11] Papageorgiou M 1983 Application of automatic control concepts to traffic flow modeling and control (Spring-Verlag,New York) p 4
[12] Jiang R, Wu Q S, Zhu Z J 2002 Transp. Res. B 36 405
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