Bifurcation Control of a Congestion Control Model via State Feedback
Bifurcation Control of a Congestion Control Model via State Feedback
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DOI：
10.1142/s0218127413300188
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发表时间：
2013-07
期刊：
影响因子：
--
通讯作者：
Min Xiao;W. Zheng;Jinde Cao
中科院分区：
文献类型：
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作者：
Min Xiao;W. Zheng;Jinde Cao
针对一种新的拥塞控制模型，即单链路单源指数随机早期检测（RED）算法，提出了一种利用状态反馈方法控制Hopf分岔的方法.选择拥塞控制模型的增益参数作为分岔参数。分析表明，在没有状态反馈控制器的情况下，该模型通过Hopf分岔提前失去稳定性，并且只能在增益参数的一定范围内保持平稳的发送速率。当应用状态反馈控制器的模型，不希望的Hopf分岔的发病推迟。从而扩展了稳定域，使模型在较大的参数范围内具有稳定的发送速率。此外，显式公式来确定的Hopf分支的性质。通过数值仿真验证了状态反馈控制器在分岔控制中的有效性。
This paper proposes to use a state feedback method to control the Hopf bifurcation for a novel congestion control model, i.e. the exponential random early detection (RED) algorithm with a single link and a single source. The gain parameter of the congestion control model is chosen as the bifurcation parameter. The analysis shows that in the absence of the state feedback controller, the model loses stability via the Hopf bifurcation early, and can maintain a stationary sending rate only in a certain domain of the gain parameter. When applying the state feedback controller to the model, the onset of the undesirable Hopf bifurcation is postponed. Thus, the stability domain is extended, and the model possesses a stable sending rate in a larger parameter range. Furthermore, explicit formulae to determine the properties of the Hopf bifurcation are obtained. Numerical simulations are given to justify the validity of the state feedback controller in bifurcation control.