THE MOBILE SYSTEM REDUCTION FOR THE VIBRATION CONTROL IMPLEMENTATION
Keywords:mobile control system (MCS), reduction, accuracy assessment, random noise level, adaptable model, Fredholm equations of the first kind.
Since the mining and oil and gas industries play a decisive role in the Ukrainian economy, the adequacy and proper assessment of the accuracy of the monitoring is of great national importance. A mathematical model for the measurement of MSCs is constructed, which determines the sequence of mathematical operations that must be performed to obtain the quantitative characteristics of the objects of control. If there is a function that is a solution and that describes the object of the MSC, then it is a reduction to the ideal MSC. The solution of the problem of reduction (synthesis) MSC is realized by the choice of design and is provided with such a connection between the signals at its input and output MSC, which leads to the best results. This formulation of the problem of reducing the MSC has several disadvantages. The MSC measurement result is always influenced by a number of minor factors. Their effect leads to the fact that the measured value of a certain value is different from the value predicted by the model of measurement of the ISC on the noise (experiment error), which is random. The noise level of MSCs has a significant effect on the result of mathematical processing, and the less the noise, the better the result of the reduction of MSCs. Previously, the task of instrumentation was to create an MSC that provides the least distortion of the measurement results, while using mathematical methods to reduce instrumentation the task of reducing instrumentation noise is MSC. The given solution is realized by the choice of design and is provided with such a connection between the input and output signals, which leads to a decrease in the level of random noise MSC. The description of MSC enhancement has the instability of the solution of the equation with respect to the initial data errors, which is a property of almost all integral equations and does not depend on the method of their solution. The proposed mathematical method of reduction of the mobile control system (MSC) as one of the variants of regularization of the incorrectly set problem arose and was further developed under the influence of the ideas of academician AN Tikhonov and Professor Yu.P. Pytiev . The author suggests taking a different look at the control tasks and the accuracy of assessing the accuracy of MCSs by reducing the level of random noise. The author proposed the implementation of the MCS by choosing a design and providing such a connection between the signal at its input and output, which leads to the best results in solving reduction problems. The author proposed an adaptable model of MCSs using modern ideas and mathematical methods.
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