| Hybrid control of bifurcation and chaos in stroboscopic model of Internet congestion control system |
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| 作者姓名： | 丁大为 朱杰 罗晓曙 |
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| 作者单位： | Department of Electronic Engineering, Shanghai
Jiaotong University, Shanghai 200240, China
\; School of Electronic Science and Technology, Anhui
University, Hefei 230039, China;Department of Electronic Engineering, Shanghai
Jiaotong University, Shanghai 200240, China;Department of Physics and Electronic Science, Guangxi
Normal University, Guilin 541004, China |
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| 基金项目： | Project supported by
the National
Natural Science Foundation of China (Grant No 70571017). |
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| 摘 要： | Interaction between transmission control protocol （TCP） and random early detection （RED） gateway in the Internet congestion control system has been modelled as a discrete-time dynamic system which exhibits complex bifurcating and chaotic behaviours. In this paper, a hybrid control strategy using both state feedback and parameter perturbation is employed to control the bifurcation and stabilize the chaotic orbits embedded in this discrete-time dynamic system of TCP/RED. Theoretical analysis and numerical simulations show that the bifurcation is delayed and the chaotic orbits are stabilized to a fixed point, which reliably achieves a stable average queue size in an extended range of parameters and even completely eliminates the chaotic behaviour in a particular range of parameters. Therefore it is possible to decrease the sensitivity of RED to parameters. By using the hybrid strategy, we may improve the stability and performance of TCP/RED congestion control system significantly.
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| 关 键 词： | 混沌控制 动力系统 拥塞控制 分叉系统 |
| 收稿时间： | 2006-09-22 |
| 修稿时间： | 2007-04-23 |
Hybrid control of bifurcation and chaos in stroboscopic model of Internet congestion control system |
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| Ding Da-Wei,Zhu Jie and Luo Xiao-Shu.Hybrid control of bifurcation and chaos in stroboscopic model of Internet congestion control system[J].Chinese Physics B,2008,17(1):105-110. |
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| Authors: | Ding Da-Wei Zhu Jie and Luo Xiao-Shu |
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| Institution: | Department of Electronic Engineering, Shanghai
Jiaotong University, Shanghai 200240, China; Department of Electronic Engineering, Shanghai
Jiaotong University, Shanghai 200240, China
\; School of Electronic Science and Technology, Anhui
University, Hefei 230039, China; Department of Physics and Electronic Science, Guangxi
Normal University, Guilin 541004, China |
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| Abstract: | Interaction between transmission control protocol (TCP) and random
early detection (RED) gateway in the Internet congestion control
system has been modelled as a discrete-time dynamic system which
exhibits complex bifurcating and chaotic behaviours. In this paper, a
hybrid control strategy using both state feedback and parameter
perturbation is employed to control the bifurcation and stabilize the
chaotic orbits embedded in this discrete-time dynamic system of
TCP/RED. Theoretical analysis and numerical simulations show that the
bifurcation is delayed and the chaotic orbits are stabilized to a
fixed point, which reliably achieves a stable average queue size in
an extended range of parameters and even completely eliminates the
chaotic behaviour in a particular range of parameters. Therefore it
is possible to decrease the sensitivity of RED to parameters. By
using the hybrid strategy, we may improve the stability and
performance of TCP/RED congestion control system significantly. |
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| Keywords: | chaos control dynamical
systems congestion control bifurcation |
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