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Assessment of spinning product quality based on dispersion approach to solving the problem of statistical linearization of control signals

Field of Science:EngineeringGeneral EngineeringIndustrial and Manufacturing Engineering
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O_TJ.2024.04.8_ce14c86b.pdf

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“TEXTILE JOURNAL OF UZBEKISTAN” Scientific-technical journal

“TEXTILE JOURNAL OF UZBEKISTAN” Scientific-technical journal

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ARTICLE ANNOTATION

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The article considers the dispersion approach to solving the problem of statistical linearization. Two problems are considered. The first problem is the development of a theoretical method of dispersion linearization. The second is an experimental study of the proposed method and its comparison with known methods. Hammerstein models are chosen as the object under study. For each model of the object, the identification problem is solved by the considered methods and the values of residual dispersions are calculated for them, and their comparison is carried out. When solving the first problem, it is necessary to find such an approximate linearized relationship between the actual and approximate approximating functions in such a way that their mathematical expectation and dispersion function coincide quite accurately. When solving the second problem, there is an object representing one of the main types of nonlinear dynamic objects (Hammerstein models) with noise acting additively and independently at the input and output of the object. It is required, under conditions of interference and limited time for observing the process, to obtain estimates of the mathematical expectation, auto- and cross-correlation and dispersion functions from the object's measurable input and output signals. Then analyze the obtained results and compare the proposed method with the correlation method of statistical linearization and other known methods for identifying nonlinear objects. Two variants of the relationship between the signal and noise dispersion process are considered. Random functions (numbers) with a normal distribution law are selected as noise affecting the input and output signals.

AUTHORS

О.Кадиров

TOSHKENT TO'QIMACHILIK VA YENGIL SANOAT INSTITUTI

Tags

# product quality# yarn# spinning production# nonlinear systems# linearization# dispersion approach# linear systems# random functions# dispersion functions# nonlinear transformation function# mathematical expectation# Hammerstein model

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Article Identifiers

ROI:

https://eroi.uz/11.100/A026-785157

DOI:

Not Available

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