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Industrial Automatic Control Systems and Controllers

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Analysis of the Infl uence of Random Signals With Unaccounted Time Constants
Domanov A.V., Domanov V.I., Bilalova A.I.

The analysis of the infl uence of random signals for standard settings with the appearance of unaccounted time constants is performed.
Expressions for estimating the standard deviation are obtained. For ease of comparison, relative values of α and β for unaccounted time
constants are used. This allows us to estimate various standard settings under equal conditions with different variants of the appearance of
unaccounted time constants. The use of the Tustin transform makes it possible to estimate the infl uence of time discretization on the value
of the standard deviation under the action of a random signal. 3-D graphs are constructed for various expressions for estimating the standard deviation. The analysis shows that the unaccounted time constant associated with the discreteness of the system operation has a more
signifi cant effect on the growth of the standard deviation.
Keywords: default setting, random signal, root mean square error, small time constant, relative values.


DOI: 10.25791/asu.11.2024.1542

Pp. 28-34.

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