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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >A feedback control method with consideration of the next-nearest-neighbor interactions in a lattice hydrodynamic model
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A feedback control method with consideration of the next-nearest-neighbor interactions in a lattice hydrodynamic model

机译：考虑到格子流体动力学模型中的下一个最近邻相互作用的反馈控制方法

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摘要

A feedback control method with consideration of the next-nearest-neighbor interactions is investigated in the lattice hydrodynamic traffic model. The stability condition is obtained by discussing the first-order transfer function G(1) and the second-order transfer function G(2). The solution of mKdV equation which describe the density wave are yielded by nonlinear analysis. Theoretical analysis result indicates that the feedback gain lambda, the weight coefficient of the nearest-neighbor interaction and the next-nearest-neighbor interaction have a great impact on the improvement of the stability of traffic flow. Numerical simulations by analyzing the short-term, long-term behaviors and hysteresis loop of traffic flow verify that the impacts of the feedback gain lambda, the nearest-neighbor weight and the next-nearest-neighbor weight on traffic control. The feedback control method considering the next-nearest-neighbor interactions displays the nonlocal characteristics in the implementation of local control process. (C) 2020 Elsevier B.V. All rights reserved.
机译：在格子流体动力学流量模型中研究了考虑到下一个最近邻交互的反馈控制方法。通过讨论一阶传递函数G（1）和二阶传递函数G（2）来获得稳定性条件。通过非线性分析产生描述密度波的MKDV方程的解。理论分析结果表明，反馈增益Lambda，最近邻相互作用的重量系数和下一个最近邻相互作用对改善交通流量的稳定性产生了很大的影响。通过分析短期，长期行为和交通流量的滞后回路的数值模拟验证了反馈增益Lambda的影响，最近邻居权重和下一个最近邻的权重对流量控制。考虑下一个最近邻交互的反馈控制方法在实现本地控制过程中显示非识别特性。 （c）2020 Elsevier B.v.保留所有权利。

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