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离散交通流模型的反馈线性化与拥堵控制

房雅灵 史忠科

房雅灵, 史忠科. 离散交通流模型的反馈线性化与拥堵控制[J]. 应用数学和力学, 2015, 36(5): 474-481. doi: 10.3879/j.issn.1000-0887.2015.05.003
引用本文: 房雅灵, 史忠科. 离散交通流模型的反馈线性化与拥堵控制[J]. 应用数学和力学, 2015, 36(5): 474-481. doi: 10.3879/j.issn.1000-0887.2015.05.003
FANG Ya-ling, SHI Zhong-ke. Feedback Linearization and Congestion Control for a Discrete Traffic Flow Model[J]. Applied Mathematics and Mechanics, 2015, 36(5): 474-481. doi: 10.3879/j.issn.1000-0887.2015.05.003
Citation: FANG Ya-ling, SHI Zhong-ke. Feedback Linearization and Congestion Control for a Discrete Traffic Flow Model[J]. Applied Mathematics and Mechanics, 2015, 36(5): 474-481. doi: 10.3879/j.issn.1000-0887.2015.05.003

离散交通流模型的反馈线性化与拥堵控制

doi: 10.3879/j.issn.1000-0887.2015.05.003
基金项目: 国家自然科学基金(重点项目)(61134004)
详细信息
    作者简介:

    房雅灵(1981—),女,辽宁鞍山人,博士生(通讯作者. E-mail: lianhao1227@163.com).

  • 中图分类号: U491;O231

Feedback Linearization and Congestion Control for a Discrete Traffic Flow Model

Funds: The National Natural Science Foundation of China(Key Program)(61134004)
  • 摘要: 在自动化高速公路环境下,提出一种改进的宏观离散交通流模型密度控制方法.利用反馈线性化方法,将宏观离散交通流模型转换为一般容易处理的线性系统模型,简化了密度控制器的设计.利用线性系统中具有输入变换的跟踪反馈控制方法,对线性化后的系统模型设计控制律.通过控制该线性系统的状态变量,间接稳定离散交通流模型中的交通流密度,达到对道路交通流拥堵的控制.同时给出设计方法和步骤,仿真实例说明了方法的实用性.
  • [1] Bender J G. An overview of systems studies of automated highway systems[J].IEEE Transactions on Vehicular Technology,1991,40(1): 82-99.
    [2] Hedrick J K, Tomizuka M, Varaiya P. Control issues in automated highway systems[J].Control Systems, IEEE,1994,14(6): 21-32.
    [3] CHIEN Cheng-chih, ZHANG You-ping, Ioannou P A. Traffic density control for automated highway systems[J].Automatica,1997,33(7): 1273-1285.
    [4] Alvarez L, Horowitz R, Li P. Traffic flow control in automated highway systems[J].Control Engineering Practice,1999,7(9): 1071-1078.
    [5] Alvarez L, Horowitz R, Toy C V. Multi-destination traffic flow control in automated highway systems[J].Transportation Research Part C: Emerging Technologies,2003,11(1): 1-28.
    [6] 杨旭华, 董颖颖, 杨海东, 王万良. 一种改进的自动化高速公路交通流速度控制器设计[J]. 控制理论与应用, 2009,26(1): 103-106.(YANG Xu-hua, Dong Ying-ying, YANG Hai-dong, WANG Wan-liang. An improved traffic flow-speed control design for an automated highway system[J].Control Theory & Applications,2009,26(1): 103-106.(in Chinese))
    [7] 张勇, 关伟. 离散交通流的变结构控制[J]. 控制与决策, 2012,27(1): 47-52.(ZHANG Yong, GUAN Wei. Variable structure control discrete traffic flow[J].Control and Decision,2012,27(1): 47-52.(in Chinese))
    [8] Kwnaghee N. Linearization of discrete-time nonlinear systems and a canonical structure[J].IEEE Transactions on Automatic Control,1989,34(1): 119-122.
    [9] Papageorgiou M, Blosseville J-M, Hadj-Salem H. Macroscopic modelling of traffic flow on the boulevard périphérique in Paris[J].Transportation Research Part B: Methodological,1989,23(1): 29-47.
    [10] Papageorgiou M. Some remarks on macroscopic traffic flow modelling[J].Transportation Research Part A: Policy and Practice,1998,32(5): 323-329.
    [11] Wang Y, Papageorgiou M, Messmer A, Coppola P, Tzimitsi A, Nuzzolo A. An adaptive freeway traffic state estimator[J].Automatica,2009,45(1): 10-24.
    [12] Wang Y, Papageorgiou M. Real-time freeway traffic state estimation based on extended Kalman filter: a general approach[J].Transportation Research Part B: Methodological,2005,39(2): 141-167.
    [13] 赵光宙. 现代控制理论[M]. 北京: 机械工业出版社, 2009.(ZHAO Guang-zhou.Modern Control Theory [M]. Beijing: China Machine Press, 2009.(in Chinese))
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出版历程
  • 收稿日期:  2014-09-30
  • 修回日期:  2015-03-21
  • 刊出日期:  2015-05-15

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