Abstract
The straightforward active queue management ($AQM$), which is based on the prediction of arrival rate is investigated by means of state-space approach. We formulate the feedback control design problem for linearized system of additive increase multiplicative decrease ($AIMD$) dynamic models as state-space model. Then the Lyapunov-Krasovskii method is provided to achieve the robust stability and sufficient stabilization condition and afterwards the term of linear inequality matrix ($LMI$) is used to show the results. We present the simulation results and show the superiority of our proposed method to other control mechanisms.
Highlights
Nowadays, computer networks develop rapidly and the growth of the amount of data communicated in computer networks become an important issue in this field
Two effective strategies to control congestion are Transmission Control Protocol (T CP ) and Active Queue Management (AQM ) which they control the congestion at the end and at the hosts, respectively
active queue management (AQM) algorithm with simple implementation based on prediction of arrival rate was presented in [27] and this prediction was derived from the analysis of the network congestion control
Summary
Computer networks develop rapidly and the growth of the amount of data communicated in computer networks become an important issue in this field. Network congestion control; active queue management(aqm); packet arrival rate; prediction; asymptotical stability. AQM algorithm with simple implementation based on prediction of arrival rate was presented in [27] and this prediction was derived from the analysis of the network congestion control Since these dynamical models are nonlinear, they are linearized at the operating point, and this linearization is depend on a time delay which play an important role in models and their stability. Stability and asymptotically stability of system, were defined in [15] The contribution of this investigation is to model state-space of the active queue management in which the drop probability policy is outspoken.
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