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SCIENCE & EDUCATION
Bauman Moscow State Technical University. El № FS 77 - 48211. ISSN 1994-0408
Method of Increasing Identification Accuracy under Experimental Tests of Dynamic Objects
# 09, September 2015
DOI: 10.7463/0915.0810583
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SE-BMSTU...o224.pdf
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The work concerns a problem of increasing identification accuracy of linear dynamic systems on the basis of experimental data obtained by applying test signals to the system.
The work is aimed at considering a possibility to use the experimentally obtained hodograph counting to determine parameters of this system in a specific context of the linear dynamic system of the second order.
An offer was to use a method of harmonious linearization and a described cut method.
The type of frequency transfer function of the identified system was assumed as known.
It was supposed that when obtaining the frequency characteristics of a real system there are disturbances interfering with experiment as a result of which points of experimentally received hodograph are random displaced.
An identification problem solution was searched in a class of the hodograph set by the system model, which had the same type of frequency transfer function, as the type of frequency transfer function of the identified system.
The unknown coefficients of frequency transfer function of the system model were searched through minimizing a proximity criterion (measure) of the experimentally received hodograph of the system and of the system model hodograph over the entire aggregate of points. One of the authors described this criterion in the earlier publication.
The solution to a problem of nonlinear dynamic system identification by the frequency hodograph was reduced to the solution of the system of equations of the rather unknown linear parameters of frequency transfer function of the system model
The program to simulate a process of the pseudo-experimental data, containing random errors, and determine parameters of this system is developed for a dynamic system of the second order.
A conducted computing experiment is conducted to estimate an error at which the offered algorithm defines the values of parameters of this system.
An illustrative computing experiment has shown that in the further detailed analysis an error of determining values of the system parameters is two orders of magnitude less as compared with an error of experimental counting of a hodograph
There are no known sources on identification of nonlinear dynamic systems, which have mentioned the method of identification described this publication.
The identification method of nonlinear dynamic systems stated in the publication can find application for determining parameters of various types of power drives.
Using a method of harmonious linearization and identification of dynamic systems on hodograph is perspective to solve a problem of identification of nonlinear systems with different types of nonlinearities.
References
- Boevkin V.I., Nedashkovskii V.M., Pavlov Yu.N. Identification of linear dynamic elements using a frequency locus. Nauka i obrazovanie MGTU im. N.E. Baumana = Science and Education of the Bauman MSTU, 2013, no. 9, pp. 349-360. DOI:10.7463/0913.0618917 (in Russian).
- Zhdanov A.I., Katsyuba O.A. Identification by least squares of autoregression equations parameters when additive measurement errors . Avtomatika i telemekhanika , 1982, no. 2, pp. 29-38. (in Russian).
- Bolkvadze G.R. Hammerstein Models for Identification of Stochastic Systems. Avtomatika i telemekhanika , 2003, no. 1, pp. 42-55. (English version of journal: Automation and Remote Control , 2003, vol. 64, is. 1, pp. 37-48. DOI: 10.1023/A:1021820307806 ).
- Deych A.I. Metody identifikatsii dinamicheskikh ob"ektov [Methods of identification of dynamic objects]. Moscow, Energiya Publ., 1979. 240 p. (in Russian).
- Timoshenko S. Vibration Problems in Engineering. 3rd ed. D. Van Nostrand Company, Inc., Toronto New York London, 1955. 468 p. (Russ. ed. Timoshenko S.P. Kolebaniya v inzhenernom dele. Moscow, Nauka Publ., 1967. 444 p.).
Publications with keywords: identification, harmonic linearization, frequency locus, linear dynamic systems
Publications with words: identification, harmonic linearization, frequency locus, linear dynamic systems
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