Control system parameters of wireless communication network

DOI: 10.31673/2412-4338.2020.013344

Abstract

A controlled wireless communications network with heterogeneous network equipment and random information delays is being considered. The characteristics of the network parameter control system, the network itself as an object of control and delays of control and signal information are considered. It is shown, overload elimination to be directly related to the task of managing data traffic flows. Both tasks are aimed at the same end result: minimal packet retransmission and reducing of information delays.
A mathematical model of the network is developed on the basis of a system of differential-difference equations with delayed arguments. Expressions for delays in signalling and control information in the control system and the controlled communication network are derived. It is shown that, in the case of randomly delayed arguments, the stability of solutions of differential-difference equations depends not only on the coefficients of the equations, but also on the order of delays of signal and control information. It is established that the delay of signaling and control information in the corporate computer network should be in the same order with the response time of the network switching nodes. Then the control system is stable. To ensure the stability of the management system, it is necessary to constantly monitor and analyze the network. Monitoring tasks are defined: measurement of packet flow rate to the control system, measurement and calculation of current data delivery delay, calculation of delay variations. It has been shown that the set of monitoring and control tasks is a Feldbaum dual control task with respect to the delayed feedback network.
A computer simulation of a controlled wireless network with a control system was performed and estimates of the overall system stability margin were obtained.

Keywords: wireless network, control system of network, differential and difference equation, sustainability area, delay of signal and control data.

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