Signal transmission control protocol sources with the objective of managing queue utilization and delay is actually a feedback control problem in active queue management (AQM) core routers. This paper extends AQM control design for single network systems to large-scale wired network systems with time delays at each communication channel. A system model consisted of several local networks is first constructed. The stability condition guaranteeing overall stability is subsequently derived using Lyapunov stability theory. The results developed have been successfully verified on a network simulator.
References
[1]
C. V. Hollot, V. Misra, D. Towsley and W. B. Gong, “Analysis and Design of Controllers for AQM Routers Supporting TCP Flows,” IEEE Transactions on Automatic Control, Vol. 47, No. 6, 2002, pp. 945-959.
doi:10.1109/TAC.2002.1008360
[2]
V. Misra, W. B. Gong and D. Towsley, “Fluid-Based Analysis of a Network of AQM Routers Supporting TCP Flows with an Application to RED,” Proceedings of ACM Special Interest Group on Data Communication, Stockholm, 28 August-2 September 2000, pp. 151-160.
[3]
P. F. Quet and H. Ozbay, “On the Design of AQM Supporting TCP Flows Using Robust Control Theory,” IEEE Transactions on Automatic Control, Vol. 49, No. 6, 2004, pp. 1031-1036. doi:10.1109/TAC.2004.829643
[4]
B. A. Chiera and L. B. White, “A Subspace Predictive Controller for End-to-End TCP Congestion Control,” Proceedings of Australian Communications Theory Workshop, Brisbane, 2-4 February 2005, pp. 42-48.
doi:10.1109/AUSCTW.2005.1624224
[5]
S. Tarbouriech, C. T. Abdallah and J. Chiasson, “Advances in Communication Control Networks,” Springer, Berlin, 2005.
[6]
K. Zhang and C. P. Fu, “Dynamics Analysis of TCP Veno with RED,” Computer Communications, Vol. 30, No. 18, 2007, pp. 3778-3786.
doi:10.1016/j.comcom.2007.09.004
[7]
F. Zheng and J. Nelson, “An H∞ Approach to Congestion Control Design for AQM Routers Supporting TCP Flows in Wireless Access Networks,” Computer Networks, Vol. 51, No. 6, 2007, pp. 1684-1704.
doi:10.1016/j.comnet.2006.09.003
[8]
Y. L. Wang and G. H. Yang, “State Feedback Control Synthesis for Networked Control Systems with Packet Dropout,” Asia Journal of Control, Vol. 11, No. 6, 2009, pp. 49-58. doi:10.1002/asjc.79
[9]
H. B. Li, Z. Q. Sun, H. P. Liu and M. Y. Chow, “Predictive Observer-Based Control for Networked Control Systems with Network Induced Delay and Packet Dropout,” Asia Journal of Control, Vol. 10, No. 6, 2008, pp. 638-650. doi:10.1002/asjc.65
[10]
L. Shi, M. Epstein and R. M. Murray, “Control Over a Packet Dropping Network with Norm Bounded Uncertainties,” Asia Journal of Control, Vol. 20, No. 1, 2008, pp. 14-23. doi:10.1002/asjc.2
[11]
H. Wu, “Decentralized Adaptive Robust Control for a Class of Large-Scale Systems Including Delayed State Perturbations in the Interconnections”, IEEE Transactions on Automatic Control, Vol. 47, No. 10, 2002, pp. 1745-1751.
[12]
F. H. Hsiao, J. D. Hwang, C. W. Chen and Z. R. Tsai, “Robust Stabilization of Nonlinear Multiple Time-Delay Large-Scale Systems via Decentralized Fuzzy Control,” IEEE Transactions on Fuzzy Systems, Vol. 13, No. 1, 2005, pp. 152-163. doi:10.1109/TFUZZ.2004.836067
[13]
H. Zhang, C. Li and X. Liao, “Stability Analysis and H∞ Controller Design of Fuzzy Large-Scale Systems Based on Piecewise Lyapunov Functions,” IEEE Transactions on Systems, Man, and Cybernetics, Part B, Vol. 36, No. 3, 2006, pp. 685-698.
[14]
DARPA, “The Network Simulator-NS-2,” 1995.
http://www.isi.edu/nsnam/
