Development of an approach to the normalized functional for deviation in efficiency indicator
DOI:
https://doi.org/10.15587/1729-4061.2026.365105Keywords:
cybernetic control, efficiency criterion, ELF, normalized deviation index, mode selectionAbstract
This study examines controlled technological process of heating liquid, which is considered as a cybernetic system for transforming resources into a usable technological product. The work investigates the possibility of constructing a normalized functional of deviation in the efficiency indicator in dynamic models of technological processes, used to synthesize optimal control effects. They provide a quantitative assessment of deviation of the actual efficiency from the required level and allow the application of optimal control methods.
The task addressed is to find a standardized indicator of efficiency deviation E, which would ensure the dimensionlessness of this indicator and its large-scale independence. It is a dimensionless quadratic measure of difference between the total useful result and the total costs. It has been shown that the parameter E has the properties of computational constancy and could be used for analysis, normalization, and comparison of various control modes.
The ELF (Normalized Efficiency Criterion) computing block has been designed, which makes it possible to convert input parameters into cost form, accumulate total costs and useful effect, form indicators of additional benefit and resource intensity, as well as calculate a normalized efficiency criterion. It is shown that ELF is an integrated indicator of efficiency as a ratio of additional benefit to the resource intensity of the permissible mode; the indicator E represents its normalized metric form.
The results make it possible to assess the effectiveness of the process in a quantitative way. And the functional E shows a deviation from the required mode, which gives the opportunity to conduct an analysis and make the right decisions in the management of a technological process.
The research findings could be used in any technological processes
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Copyright (c) 2026 Igor Lutsenko, Iryna Oksanych, Maksim Drachko, Evgeniia Burdilna
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