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离散交通流模型的反馈线性化与拥堵控制
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
作者姓名:房雅灵  史忠科
作者单位:西北工业大学 自动化学院, 西安 710072
基金项目:国家自然科学基金(重点项目)(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.

关 键 词:城市交通   拥堵控制   反馈线性化   高速公路离散模型   微分几何理论
收稿时间:2014-09-30

Feedback Linearization and Congestion Control for a Discrete Traffic Flow Model
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
Authors:FANG Ya-ling  SHI Zhong-ke
Affiliation:School of Automation, Northwestern Polytechnical University, Xi’an 710072, P.R.China
Abstract:A new method for controlling the macro discrete traffic flow model was presented in the automated freeway system. The non-linear model of traffic flow was transformed to an easily tractable linear system model with the precise state feedback linearization method, and the design of the traffic density controller was simplified. For the linearized system model, the control law was designed according to the feedback tracking control strategy with input transformation, to stabilize the dynamic property of the system. Then the system state variables were controlled to indirectly stabilize the traffic flow density and further alleviate the traffic congestion. The controller designing procedure was also given. The simulation results show that the control method is effective and practicable.
Keywords:urban traffic  congestion control  feedback linearization  freeway discrete model  differential geometry theory
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