Abstract

MELCHOR AGUILAR, Daniel  and  CASTILLO TORRES, Víctor. Stability Analysis of Proportional-Integral AQM Controllers Supporting TCP Flows. Comp. y Sist. [online]. 2007, vol.10, n.4, pp.401-414. ISSN 2007-9737.

This paper focuses on the asymptotic stability of proportional-integral AQM controllers supporting TCP flows. Necessary and sufficient conditions for the asymptotic stability of the closed-loop linearization are provided. As a result, the complete set of proportional-integral controllers that locally stabilizes the equilibrium point is obtained. The robustness of the controllers to uncertainties in the network parameters (number of TCP flows, round-trip time and link capacity) is also addressed. It is shown that designing the controller with respect to the largest expected values of delay and link capacity, and the smallest expected value of TCP loads leads to the complete set of robust stabilizing controllers.

Keywords : Proportional-Integral AQM controllers; Stability; Robust Stability; Time-Delay Systems.

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