Open AccessMathematical Models of Conservative Objects of Control
Author(s) -
Y. Stentsel,
K. Litvinov
Publication year - 2020
Publication title -
metrologìâ ta priladi
Language(s) - English
Resource type - Journals
eISSN - 2663-9564
pISSN - 2307-2180
DOI - 10.33955/2307-2180(1)2020.30-36
Subject(s) - work (physics) , value (mathematics) , computer science , object (grammar) , continuation , quality (philosophy) , control (management) , control theory (sociology) , mathematics , statistics , mechanical engineering , engineering , artificial intelligence , physics , quantum mechanics , programming language
Trend analysis and record charts different technological parameter in the heat power, chemical and oil refining industry showed, that most of them are oscillatory in nature. In order to reduce the amplitude of the oscillations, filters are used, and for the actual value of the measured quantity — their average value. Research has found, that the oscillatory-pulse nature of trends and diagrams of measured values is observed in multi-parameter technological objects of control, which have valve valve strapping on both input and output material, heat or energy flows. It is shown that valve-type regulating organs, which are used in automatic control systems, together with the technological apparatus create partial objects, which work on a conservative type. This creates new dynamic objects with three or more private conservative systems, which together create a complex multi-parameter technological control object with the oscillatory-pulse nature of the measured parameters. It was found that in many cases for such complex objects of control the average value of the measured parameter, defined with the trend, can differ significantly from its actual value. This leads to the appearance of significant measurement errors, and consequently, to an incorrect assessment of the quality of manufactured products. The task is to study the causes of the appearance of such vibrational-pulse systems, their properties, deviations of average readings along the trend from the actual value of the measured parameter, and also develop methods for reducing measurement errors. The paper presents mathematical and physical models of such conservative control systems, obtained on the basis of the theory of rheological transformations, as well as the results of their research. It is shown that the vibrational-pulse trends of the measurement parameters are a set of angular frequencies of private objects, the sum of which creates an oscillatory-pulse form of the signals of the measuring parameters.