A novel hybrid control technique for bifurcation in an exponential RED algorithm,International Journal of Circuit Theory and Applications

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A novel hybrid control technique for bifurcation in an exponential RED algorithm
International Journal of Circuit Theory and Applications ( IF 1.8 ) Pub Date : 2020-04-15 , DOI: 10.1002/cta.2754
Jun Yuan ₁ , Lingzhi Zhao ₁ , Chengdai Huang ₂ , Min Xiao ₃

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This paper introduces a new hybrid control strategy to control the bifurcation of the delayed congestion model. The delay or gain is taken as the bifurcation parameter to analyze the characteristic root distribution of the linearized system. The stability and existence conditions of Hopf bifurcation are obtained. The results show that by selecting the appropriate method, the dynamics of the controlled system can be changed, and the nonzero equilibrium constant control parameters are maintained. It reveals that when such bifurcation is undesirable or desirable, the hybrid controller can delay or advance the onset of the intrinsic bifurcation. Finally, the case study illustrates and visualizes the effectiveness of the new control strategy in controlling Hopf bifurcation.

中文翻译：

指数RED算法中一种新的分叉混合控制技术。

本文介绍了一种新的混合控制策略来控制延迟拥塞模型的分支。将延迟或增益作为分叉参数来分析线性化系统的特征根分布。得到了Hopf分支的稳定性和存在条件。结果表明，通过选择适当的方法，可以改变受控系统的动力学特性，并保持非零平衡常数控制参数。它表明，当这种分叉是不希望的或合乎需要的时，混合控制器可以延迟或提前固有分叉的开始。最后，案例研究说明并可视化了新控制策略在控制Hopf分叉中的有效性。

更新日期：2020-04-15

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