Stability control of a two-lane car-following model based on cluster synchronization of complex network

Optimal Control Applications and Methods Pub Date : 2023-12-14 DOI:10.1002/oca.3088

Wenju Du, Yinzhen Li, Jiangang Zhang

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Abstract

The article investigated the stability of a two-lane car-following model with lateral friction on the basis of cluster synchronization theory of complex network. By using the Lyapunov stability theory and designing the appropriate controller, the two-lane car-following model with lateral friction is quickly stabilized and the stability condition of the model is obtained. Besides, based on the adaptive

H_{\infty} $$ {H}_{\infty } $$

cluster synchronization theory for complex networks with external disturbances, the stability of two-lane car-following model with lateral friction is studied when the vehicles is subjected to random external disturbance. Finally, the numerical simulation is carried out by using Matlab simulation technology, the results show that the two-lane car-following model with lateral friction is rapidly stabilizing and congestion phenomenon is effectively alleviated under the controller designed.

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基于复杂网络集群同步的双车道汽车跟随模型稳定性控制

文章以复杂网络的集群同步理论为基础，研究了具有横向摩擦力的双车道汽车跟随模型的稳定性。利用李雅普诺夫稳定性理论并设计适当的控制器，快速稳定了带横向摩擦的双车道汽车跟随模型，并得到了模型的稳定性条件。此外，基于自适应 H∞$$ {H}_{\infty }$$ 簇同步理论，研究了具有侧向摩擦力的双车道汽车跟随模型在车辆受到随机外部扰动时的稳定性。最后，利用 Matlab 仿真技术进行了数值仿真，结果表明，在所设计的控制器作用下，带横向摩擦的双车道汽车跟随模型迅速趋于稳定，拥堵现象得到有效缓解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Optimal Control Applications and Methods

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