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State-Feedback Control in TCP Network: Geometric Approach

Khalid Lefrouni(1*), Rachid Ellaia(2)

(1) Mohammed V University, Mohammadia School of Engineers, Rabat., Morocco
(2) Mohammed V University, Mohammadia School of Engineers, Rabat., Morocco
(*) Corresponding author


DOI: https://doi.org/10.15866/ireaco.v8i2.5291

Abstract


In this paper, we study the problem of congestion of a router, initially, we propose a model of TCP based on the fluid flux model and, secondly, considering frequency-domain approach, we synthesize a state-feedback control to ensure the stability of our system. This study is essentially based on the analysis of the stability of the characteristic equation associated to closed loop system with consideration of communication delays. Finally, simulation results are provided to validate the proposed methodology.
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Keywords


Congestion Control; TCP Network; Delay Systems; Geometric Approach

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References


C.K. Chen, Y.C. Hung, T.L. Liao, and J.J. Yan, Design of robust active queue management controllers for a class of tcp communication networks. Information Sciences, 177(19):4059–4071, 2007.
http://dx.doi.org/10.1016/j.ins.2007.02.044

Y. Ariba, Y. Labit, and F. Gouaisbaut, Congestion control of a single router with an active queue management. International Journal on Advances in Internet Technology, 2(1), 2009.

H. S. Low, F. Paganini, and J. C. Doyle, Internet congestion control. IEEE Control Systems Magazine, 22:28–43, Feb 2002.
http://dx.doi.org/10.1109/37.980245

Y. Ariba, F. Gouaisbaut, and Y. Labit, Controle de congestion d’un routeur par retour d’état. Conference International Francophone d’Automatique (CIFA’08), July 2008.

Z. Artstein, Linear systems with delayed controls: A reduction. IEEE Trans. Aut. Control, 27(4):869-879, 1982.
http://dx.doi.org/10.1109/tac.1982.1103023

E. Witrant, D. Georges, C. Canudas-de-Wit, M. Alamir, On the use of state predictors in networked control system. In Lecture notes in control and information sciences: Vol. 352. Applications of time delay systems (pp. 17–35). New York: Springer, 2007.
http://dx.doi.org/10.1007/978-3-540-49556-7_2

N.E. Alami, R. Ellaia, and K. Lefrouni, State feedback controller and observer design for TCP network with consideration of UDP flow, Journal of Theoretical and Applied Information Technology, Vol. 55 (1), pp. 14, September 2013.

A. Seuret., F. Michaut, J.-P. Richard, and T. Divoux, Networked control using gps synchronization, Proc. of ACC06, American Control Conf., Mineapolis, USA, June 2006.
http://dx.doi.org/10.1109/acc.2006.1657377

E. Fridman, New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems, Systems & Control Letters, vol. 43, pp. 309–319, 2001.
http://dx.doi.org/10.1016/s0167-6911(01)00114-1

M. Yu, L. Wang, and T. Chu, An LMI approach to network control systems with data packet dropout and transmission delays, MTNS ’04 Proc. of Mathematical Theory Networks and Systems, Leuven, Belgium, 2004.

Y. Y. Cao, and P. M. Frank, Stability analysis and synthesis of nonlinear time delay systems via linear Takagi-Sugeno fuzzy models, Fuzzy Sets and Systems, vol. 124, pp. 213-229, 2001.
http://dx.doi.org/10.1016/s0165-0114(00)00120-2

W. Michiels, S.-I. Niculescu, On the delay sensitivity of smith predictors, International Journal of Systems Science 34(8-9), 543-552. 2003.
http://dx.doi.org/10.1080/00207720310001609057

O. J. M. Smith, Closer control of loops with dead time, Chem. Eng. Prog., vol. 53, pp. 217–219, 1959.

K. Gu, S.-I. Niculescu, and J. Chenc, On stability crossing curves for general systems with two delays, J. Math. Anal. Appl. 311, 231–253, 2005.
http://dx.doi.org/10.1016/j.jmaa.2005.02.034

K. Gu, S.-I. Niculescu, and J. Chen, On stability crossing curves for general systems with two delays, J. Math. Anal. Appl., vol. 311, pp.231-253, 2005.
http://dx.doi.org/10.1016/j.jmaa.2005.02.034

C.-I. Mor˘arescu, C.-M. Barrios, S.-I. Niculescu, and K. Gu, Stability Crossing Boundaries and Fragility Characterization of PID Controllers for SISO Systems with I/O Delays, American Control Conference on O'Farrell Street, San Francisco, CA, USA, June 29 - July 01, 2011.
http://dx.doi.org/10.1109/acc.2011.5991530

C. V. Hollot, V. Misra, D Towsley, and W. Gong. A control theoretic analysis of red. IEEE INFOCOM, pp.1510–1519, April 2001.
http://dx.doi.org/10.1109/infcom.2001.916647

V. Misra, W.-B. Gong, and D. Towsley. Fluid-based analysis of a nerwork of AQM routers supporting TCP flows with an application to red, Proc. ACM SIGCOMM, pages 151–160, 2000.
http://dx.doi.org/10.1145/347057.347421

H. S. Low, F. Paganini, and J. C. Doyle. Internet congestion control. IEEE Control Systems Magazine, 22:28–43, Feb 2002.
http://dx.doi.org/10.1109/37.980245

C.-I. Mor˘arescu, S.-I. Niculescu, and K. Gu, On the geometry of pi controllers for SISO systems with input delays, In Proc. of IFAC Time Delay Systems, 2007. stem cost improvement, (2009) International Review of Electrical Engineering (IREE), 4 (3), pp. 434-440.


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