Abstract
Using non-linear control theory we developed and analyzed a generic Integrated Dynamic Congestion Controller “IDCC” scheme for controlling differentiated-services network traffic, having the information on the status of queue in the network. The controller scheme is based on a nonlinear model of the network which is generated using fluid flow model, considering time delay. The time delay is introduced in the control signal of premium service. In addition, a Lyapunov approach is employed to guarantee the stability of the closed loop system for premium traffic control strategy.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
R. Braden, D. Clark and S. Shenker, “Integrated services in the internet architecture: an Overview”, IETF RFC-1633, Jun. 1994.
D. Black, S. Blake, M. Carlson, E. Davies, Z. Wang, and W. Weiss, “An architecture for differentiated services”, RFC 2475, December 1998.
L., Jacobsson, M., Karagiannis, G., Oosthoek, S., Partain, D., Rexhepi, V., Szabo, R., Wallentin, P., “Resource management in diffserv framework”, Internet Draft, Work in Progress, 2001.
P. Ioannou, L. Rossides, “Congestion control for differentiated-services using non-linear control theory”, in Proceedings of the Sixth IEEE Symposium on Computers & Communications, ISCC 2001, Hammamet, Tynisia, 3-5, pp. 726-733, July 2001.
N.N. Krasovskii: On the application of the second method of Lyapunov for equations with time delays, Prikl. Mat. Mekh. 20, pp. 315-327, 1956.
M.I. Repin “Quadratic Lyapunov functionals for systems with delay”, J. Appl. Math. Mech. 29, pp. 669–672 (Translation of Prikl. Mat. Mekh. 29, pp. 564-566), 1966.
V.L. Kharitonov, A.P. Zhabko: Lyapunov–Krasovskii “Approach to the robust stability analysis of time-delay systems,” Automatica 39, pp. 15-20, 2003.
T. Alpcan and T. Baser, “Global stability analysis of end-to-end congestion control schemes for general topology networks with delay” In proceedings of the 42nd IEEE Conference on Decision and Control, Maui, Hawaii, 2003, 1092~1097.
K. Bouyoucef and K. Khorasani, “A sliding mode-based congestion control for time delayed differentiated-services networks” , Proceeding of the 15th Mediterranean conference on control & automation, july 2007 Athens.
K. Bouyoucef and K. Khorasani,”Robust feedback linearization-based congestion control using a fluid flow model,” in Proceedings of IEEE 2006 American Control Conference, Mineapolis, USA, 14-16 June 2006, pp. 4883–4887.
A. Pitsillides, P. Ioannou, M. Lestas, and L. Rossides, “Adaptive nonlinear congestion controller for a differentiated-services framework,” IEEE Transactions on Networking, vol. 13, No.1, pp. 94–107, February 2005.
D. Tipper and M. K. Sundareshan, “Numerical methods for modelling computer networks under nonstationary conditions,” IEEE J. Select. Areas Commun., vol. 8, no. 6, pp. 1682–1695, Dec. 1990.
C. Agnew, “Dynamic modeling and control of congestion-prone systems,” Oper. Res., vol. 24, no. 3, pp. 400–419, 1976.
J. Filipiak, “Modeling and control of dynamic flows in communication networks”. New York: Springer-Verlag, 1988.
S. Sharma and D. Tipper, “Approximate models for the study of nonstationary queues and their application to communication networks,” in Proc. IEEE Int. Conf. Communications (ICC’93), pp. 352–358, May 1993.
X. Gu, K. Sohraby, and D. R. Vaman, “Control and performance in packet, circuit and ATM networks,”. Norwell, MA: Kluwer, 1995.
D. Anick, D. Mitra, and M. Sondhi, “Stochastic theory of data handling system and multiple sources,” Bell Syst. Tech. J., vol. 61, pp. 1871–1894.
Y.Wardi and B. Melamed, “Continuous flow models: Modeling simulation and continuity properties,” in Proc. 38th Conf. Decision and Control, vol. 1, pp. 34–39, Dec. 1999,.
J. Filipiak, “Modeling and control of dynamic flows in communication networks,”. New York: Springer-Verlag, 1988.
J.-P. Richard, “Some trends and tools for the study of time-delay systems”, Plenary lecture, 2nd IEEE-IMACS Conf. CESA’98, Computational Engineering in Systems Applications, Tunisia, 1-4, Proc. Vol. P, pp. 27-43, April 1998.
Author information
Authors and Affiliations
Corresponding authors
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media B.V.
About this paper
Cite this paper
Vahidnia, R., Najafi, M., Firouzi, H., Beheshti, M. (2010). Nonlinear Congestion Control Scheme for Time Delayed Differentiated-Services Networks. In: Sobh, T., Elleithy, K., Mahmood, A. (eds) Novel Algorithms and Techniques in Telecommunications and Networking. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3662-9_15
Download citation
DOI: https://doi.org/10.1007/978-90-481-3662-9_15
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-3661-2
Online ISBN: 978-90-481-3662-9
eBook Packages: EngineeringEngineering (R0)