Creating a concept and axiomatization of the applied theory of efficiency of complex technical systems with distributed parameters of input and output products

Authors

DOI:

https://doi.org/10.15587/1729-4061.2022.260054

Keywords:

cybernetic indicators, efficiency criterion, formalization, axiomatization, optimal control over complex systems

Abstract

The object of this study is the processes of optimal control over complex technical systems with input and output products distributed in time.

The automatic formation of optimal control trajectories of technical systems that ensure maximum efficiency of production processes is limited by the insufficient development of the applied theory of the efficiency of complex systems.

This work considers the development of the conceptual base and axiomatization of the applied theory of the efficiency of technical systems.

A system of definitions and a system of axioms describing the indicators of the functioning of the cybernetic model of a technical system have been developed. The resulting system of axioms formalizes the technique and methods for determining various indicators, as well as obtaining the current value of the performance indicator of the technical system. The obtained expressions make it possible to form a subsystem for assessing the effectiveness of a technical system, invariant with respect to its internal structure and the characteristics of the transformation processes implemented by it. The universality of the proposed indicators and the structural unity of the performance evaluation subsystem make it possible to express an opinion on the cybernetic level of these decisions.

An example of the practical application of the proposed system of axioms of the applied theory of efficiency is given.

The proposed method for determining the efficiency indicator can be applied to arbitrary technical systems with a distributed nature of the change in input and output products. The cybernetic level of abstractions used to determine the effectiveness of complex systems makes it possible to proceed to solving the problem of formalization and full automation of the processes of optimal control over complex technical systems with distributed input and output products

Author Biographies

Igor Lutsenko, Kremenchuk Mykhailo Ostrohradskyi National University

Doctor of Technical Sciences, Professor

Department of Automation and Information Systems

Valerii Tytiuk, Kryvyi Rih National University

Doctor of Technical Sciences, Professor

Department of Electromechanics

Elena Vikhrova, Kryvyi Rih State Pedagogical University

PhD, Associate Professor

Department of Mathematics and Methods of its Teaching

Iryna Oksanych, Kremenchuk Mykhailo Ostrohradskyi National University

Doctor of Technical Sciences, Associate Professor

Department of Automation and Information Systems

Galina Sivyakova, Karaganda Industrial University

PhD, Associate Professor

Department of Artificial Intelligence Technology

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Published

2022-06-30

How to Cite

Lutsenko, I., Tytiuk, V., Vikhrova, E., Oksanych, I., & Sivyakova, G. (2022). Creating a concept and axiomatization of the applied theory of efficiency of complex technical systems with distributed parameters of input and output products . Eastern-European Journal of Enterprise Technologies, 3(4 (117), 15–22. https://doi.org/10.15587/1729-4061.2022.260054

Issue

Vol. 3 No. 4 (117) (2022): Mathematics and Cybernetics - applied aspects

Section

Mathematics and Cybernetics - applied aspects

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Copyright (c) 2022 Igor Lutsenko, Valerii Tytiuk, Elena Vikhrova, Iryna Oksanych, Galina Sivyakova

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