DEVELOPING A METHOD FOR DETERMINING THE TIME PARAMETERS OF A MOBILE FIRE EXTINGUISHER OPERATOR

Abstract

The object of this study is the process of functioning of the "man-machine" system on the example of the operator of a mobile fire installation. One of the issue when building models of such systems is to determine the parameters a priori of a given model of the human operator – the delay time and a time constant. For one of the promising means of fire extinguishing such as a mobile installation based on Segway, a method for determining the time parameters of the operator has been devised. A feature of the method is the use of approximation of partial derivatives from the phase-frequency characteristics of the operator in frequency, determined at two frequencies. This approach makes it possible to get rid of the need to use transcendental equations to determine time parameters and move on to an algebraic equation. To substantiate the values of frequencies at which partial derivatives are approximated, tolerance accuracy criteria are used. It is shown that working range of the operator of the mobile fire installation is in the infra-frequency region. Therefore, it is advisable to determine the phase-frequency characteristics of the operator numerically using an array of data on the transition function of the operator. An array of such data is formed using the Kotelnikov-Nyquist- Shannon theorem. A list of sequential procedures for the implementation of the method for determining the time parameters of the operator of a mobile fire installation is provided. The method for determining the time parameters of the operator of a mobile fire installation was verified by solving a test problem. It is shown that with permissible errors in the time parameters of the operator at the level of 5.0 %, the errors in their determining do not exceed 2.0 %. The reported results can be used for determining the dynamic parameters of the model of the operator of the fire installation, provided that the tolerance criterion for accuracy is set