离散交通流模型的反馈线性化与拥堵控制

Feedback Linearization and Congestion Control for a Discrete Traffic Flow Model

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.

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 easi- ly 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 con- trol law was designed according to the feedback tracking control strategy with input transforma- tion, 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.