This paper addresses the design of anti-windup
gains for obtaining stability for linear systems with discrete
time varying delay and saturating inputs delay. Considering
that a dynamic output feedback has been designed to stabilize
the AQM system (without saturation), a method is proposed for
designing an anti-windup gain which relates the saturation of
the queue when congestion, which is inevitable in networks. It is
shown that the closed-loop system obtained from the controller
plus the anti-windup gain can be modeled by a linear system
with a dead zone nonlinearity. A modified sector condition is
then used to obtain stability conditions based on Lyapunov
functions. Differently from previous works these conditions are
directly in linear matrix inequality form. Resulting in a new
AQM which will be simulated in MATLAB and compared to
RED.
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