高速公路宏观离散模型的反馈线性化控制

在自动化高速公路系统环境下,通过计算拥堵路段系统的Lyapunov指数和Lyapunov维数,证明了离散交通流模型存在混沌现象。为了得到稳定有序的高速公路交通流,提出一种针对高速公路宏观交通流模型反馈线性化方法使非线性系统线性化。通过LQR优化控制方法将线性化系统的混沌轨道稳定到所需的目标轨道上,实现道路交通流的稳定有序。仿真结果表明,提出的方法可使道路交通密度和速度趋于平稳,避免了道路拥挤的发生。

Feedback Linearization Control of Highway Macroscopic Discrete Model

In automated highway system, the existence of chaotic behavior of the traffic system model is proved by calculating Lyapunov index and the Lyapunov dimension. In order to make the traffic flow stable and orderly, feedback linearization method is developed for the macroscopic traffic flow model. By LQR optimization control method, the chaotic orbit of the linearized system is stabilized to the desired target orbit, so as to achieve the stable and orderly. Simulation results show that the proposed method can stabilize the traffic density and speed to avoid traffic congestion.