Parametric identification of dynamics models of regulated objects
Journal Title: Комп’ютерне моделювання: аналіз, управління, оптимізація - Year 2017, Vol 2, Issue 2
Abstract
In this work attention is paid to the problem of parametric identification of dynamics models of three-capacity objects. When mathematical models of the objects dynamics exist, it is possible to accurately perform calculations of the optimal settings of regulators with the desired type of transition control process, to carry out the modeling of the automatic control systems at the stage of their design, using PC. The known methods of parametric identification have low accuracy and usually require transformation of the obtained equations into transfer functions or into systems of differential equations of the first order for greater convenience of their use. The purpose of the work was to determine, by graphic representation of the acceleration curve of a three-capacity object, all parameters of the dynamical model with maximum accuracy. The article describes the order of graphic processing of the acceleration curve with the designation of characteristic parameters and presents the algorithm for parametric identification of mathematical models of dynamics of three-capacity objects. The proposed calculation method is the determination of the stable time T1 , T2 and T3 of three-capacity objects using ideal acceleration curves, which are united by the sum of the ordinates of characteristic points in three separate groups, which also made it possible to significantly increase the accuracy of parametric identification. The proposed method for identifying the parameters of dynamics models of three-capacity objects gives the opportunity to accurately determine the sum S of all constant time of ideal acceleration curves. When identifying the parameters of real-time object dynamics models, it is suggested to search for the point of overlap by the magnitude and sign of the Ò’2 difference, adjusting the input data and conducting several repeated calculations until the difference Ò’2 reaches the established minimum value.
Authors and Affiliations
О. В. Тітова, Н. О. Мінакова, О. Ф. Шуть, О. М. Гнатко
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