Robust Stability and Design of State Feedback Controller for Straightforward Active Queue Management

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Mehrdad Nozohour Yazdi, Ali Delavarkhalafi, Robust Stability and Design of State Feedback Controller for Straightforward Active Queue Management, Int. J. Anal. Appl., 16 (5) (2018), 654-672.

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Mehrdad Nozohour Yazdi, Ali Delavarkhalafi

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.

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