Abstract—Compound TCP(CTCP) is a practical congestion control algorithm for high-speed and long delay networks. In this paper we address the problem of bifurcation and chaos analysis and its control of a nonlinear congestion control model with CTCP connections and random early detection (RED) gateway. First, we briefly analyze the nonlinear dynamics of the CTCP network with respect to system parameters. Then 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 CTCP/RED. Theoretical analysis show that the controlled system can achieve a stable average queue size in an extended range of parameters and even completely eliminates the chaotic behavior in a particular range of parameters. Therefore it is possible to decrease the sensitivity of RED parameters. Finally, numerical simulations are provided to show the effectiveness of the theoretical results.

Index Terms—Chaos control, dynamical systems, congestion control, bifurcation, CTCP, RED.

Mengya Geng, Han Wang, Jinyang Huang, Jingwei Wang, and Haiyan Wang are with the School of Electronics and Information Engineering, Anhui University, Hefei, 230000, China. Dawei Ding is with the Key Lab. of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei 230000, China.

Cite:Mengya Geng, Dawei Ding, Han Wang, Jinyang Huang, Jingwei Wang, Haiyan Wang, "Hybrid Control of Bifurcation and Chaos in Dynamic Model of Compound TCP under RED," International Journal of Computer and Communication Engineering vol. 5, no. 3, pp. 186-195, 2016.