DETERMINATION OF THE DEPENDENCE OF THE FREQUENCY PROPERTIES ON PARAMETERS OF THE FUNCTION USED IN THE LEAST SQUARES PARAMETRIC IDENTIFICATION
A. A. Mizyukanova, G. P. Chikildin
Novosibirsk State Technical University, Novosibirsk, Russia
Keywords: parametric identification, SISO system, least squares method, system of linear algebraic equations, forming function, frequency properties, polynomial approximant
Abstract
A parametric identification problem of a linear dynamic SISO plant under incomplete a priori information based on the least squares method is considered At the stage of formation of the system of equations, a special type of the forming function is used. It allows the numerical differentiation of the measured input and output signals of the identified plant to be replaced by multiple application of integration by parts. The dependences of the frequency properties of the forming function and its derivatives on the function parameters are obtained in analytical form. The paper presents results illustrating almost complete coincidence of the frequencies obtained both experimentally and analytically.
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