Hybrid control of bifurcation and chaos in stroboscopic model of Internet congestion control system
Ding Da-Wei (丁大为)a)b)†, Zhu Jie(朱杰)a), and Luo Xiao-Shu(罗晓曙)c)
a Department of Electronic Engineering, Shanghai Jiaotong University, Shanghai 200240, China; b School of Electronic Science and Technology, Anhui University, Hefei 230039, China; c Department of Physics and Electronic Science, Guangxi Normal University, Guilin 541004, China
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.
Fund: Project supported by
the National
Natural Science Foundation of China (Grant No 70571017).
Cite this article:
Ding Da-Wei (丁大为), Zhu Jie(朱杰), and Luo Xiao-Shu(罗晓曙) Hybrid control of bifurcation and chaos in stroboscopic model of Internet congestion control system 2008 Chin. Phys. B 17 105
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