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Electrical Engineering and Systems Science > Systems and Control

arXiv:2211.10833 (eess)
[Submitted on 20 Nov 2022]

Title:A two dimensional fluid model for TCP/AQM analysis

Authors:Sadek Belamfedel Alaoui, Alejandro J. Rojas, Abdelaziz Hmamed, El Houssaine Tissir
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Abstract:This work proposes a new mathematical model for the TCP/AQM system that aims to improve the accuracy of existing fluid models, especially with respect to the sequential events that occur in the network. The analysis is based on the consideration of two time bases, one at the queue's router level and the other at the congestion window level, which leads to the derivation of a new nonlinear two-dimensional fluid model for Internet congestion control. To avoid the difficult task of assessing stability of a 2D nonlinear dynamic model, we perform a local stability analysis of a 2D linear TCP AQM model. By constructing a new two dimensional second order Bessel Legendre Lyapunov functional, new matrix inequalities are derived to evaluate the stability of the 0-input system and to synthesize a feedback controller. Finally, two Internet traffic scenarios, with state space matrices for replicability, are presented, demonstrating the validity of the theoretical results.
Comments: Active queue management, network assisted congestion control, TCP/AQM, 2D time delay systems, Roesser model, 2D second order bessel Legendre, Lyapunov
Subjects: Systems and Control (eess.SY)
Cite as: arXiv:2211.10833 [eess.SY]
  (or arXiv:2211.10833v1 [eess.SY] for this version)
  https://doi.org/10.48550/arXiv.2211.10833

Submission history

From: Sadek Belamfedel Alaoui [view email]
[v1] Sun, 20 Nov 2022 00:55:59 UTC (1,629 KB)
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