两叉分析和控制改进的交通流模型,考虑到强风的影响
Wenhuan Ai1, Zhengqing Lei2, Danyang Li2
1College of Computer Science and Engineering, Northwest Normal University, Lanzhou, 730070, Gansu, China. wenhuan618@163.com.
The European physical journal. E, Soft matter
|June 16, 2024
概括
本研究使用分叉控制来管理交通流量,通过调整反控制器来改善交通系统的稳定性和缓解拥堵. 研究重点是控制不稳定的点,以防止突然的交通行为.
科学领域:
- 交通流动动态 交通流动动态
- 非线性系统分析 非线性系统分析
- 控制理论 控制理论
背景情况:
- 交通拥堵是一个日益严重的全球问题,需要新的控制策略.
- 分叉分析为了解和管理交通流动不稳定提供了新的视角.
- 现有的交通模型往往缺乏对强风等外部因素的全面考虑.
研究的目的:
- 通过结合强风效应来增强全速差异化流量模型.
- 在改进的交通模型中调查分叉特性 (Hopf和结).
- 设计和实施非线性反控制器,通过分叉控制减轻交通拥堵.
主要方法:
- 理论分析以证明Hopf和结分叉的存在条件.
- 使用切比舍夫多项式近似和随机反开发非线性系统反控制器.
- 在不改变系统平衡的情况下,模拟和分析控制器在推进,延迟或消除分叉的性能.
主要成果:
- 该研究理论上证实了模型中Hopf和结分叉的条件.
- 一个新的非线性反控制器有效地操纵分叉点.
- 控制器成功地通过调整Hopf分叉来控制突然的交通行为,从而使交通流程更顺.
- 阐明了边界条件对系统稳定性的影响.
结论:
- 分叉分析为复杂的运输系统的稳定性提供了宝贵的见解.
- 开发的反控制策略通过管理系统不稳定性,有效地缓解交通拥堵.
- 这种方法为现实世界的交通管理和理解交通现象提供了一个有前途的方法.
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