Идентификация нелинейных объектов и систем управления…
13
Identification of nonlinear objects and control systems
by using matrix operators
© Yu.P. Kornyushin, N.D. Egupov, P.Yu. Kornyushin
Kaluga Branch of Bauman Moscow State Technical University,
Kaluga, 248000, Russia
In the work we propose an algorithm for parametric identification of nonlinear objects of
control. The algorithm is based on the idea of phase space extension of the identified ob-
ject vector of unknown parameters. We use the matrix of operators, linearization of ex-
tended nonlinear system of equations according to the scheme of Newton–Kantorovich,
suggesting some iterative process of finding identifiable parameters on the criterion that
ensures the proximity of the release of the real object to the output of its mathematical
model. The algorithm application is illustrated by an example of parameters identifica-
tion of the electro-hydraulic drive.
Keywords
: identification, nonlinear object, operator, criterion, parameterization, drive
.
REFERENCES
[1] Deitch A.M.
Metody identificatsii dinamicheskikh ob''ektov
[Methods for the
identification of dynamic objects]. Moscow, Energiya, 1979, 240 p.
[2] Lapin S.V., Egupov N.D.
Teoriya matrichnykh operatorov i ee prilozhenie k
zadacham avtomaticheskogo upravleniya
[The theory of matrix operators and its
application to problems of automatic control]. Moscow, BMSTU Publ., 1997,
496 p.
[3] Pupkov K.A., Egupov N.D., Trofimov A.I.
Statisticheskie metody analiza, sinte-
za I identifikatsii system avtomaticheskogo upravleniya
[Statistical methods of
analysis, synthesis and identification of automatic control systems]. Moscow,
BMSTU Publ., 1998, 560 p.
[4] Eykhoff P.
System Identification, Parameter and State Estimation
, Wiley, 1974.
[5] Sage A., Melsa J.
System Identification
. Academic Press, N.Y., 1971.
[6] Gaisky V.A., Egupov N.D.,
Kornyushin Yu.P. Primenenie funktsiy Uolsha v
sistemakh avtomatizatsii nauchnykh issledovaniy
[Application of the Walsh
functions in automation research]. Kiev, Naukova Dumka, 1993, 212 p.
[7] Pupkov K.A., Egupov N.D., eds.
Matrichnye metody rascheta i proektirovaniya
slozhnykh system avtomaticheskogo upravleniya dlya inzhenerov
[Matrix meth-
ods of calculation and design of complex automatic control systems for engi-
neers]. Moscow, BMSTU Publ., 2007, 664 p.
[8] Pupkov K.A., Egupov N.D., eds.
Metody inzhenernogo sinteza slozhnykh system
upravleniya
[Methods of engineering synthesis for the complex systems control].
Moscow, BMSTU Publ., 2012, 534 с.
[9] Kornyushin Yu.P., Mel’nikov D.V., Egupov N.D., Kornyushin P.Yu.
Vestnik
MGTU im. N.E. Baumana — Herald of the Bauman Moscow State Technical
University. Series: Natural sciences
, 2014, no. 1, p. 78–93.
Kornyushin
Yu.P.,
Dr. Sci. (Eng.), professor, head of the Automatic Control Systems
Department at Kaluga Branch of Bauman Moscow State Technical University. Author of
about 100 publications in the field of power engineering and electrotechnology, optimal
systems, simulation of technical systems; research interests: nonlinear, optimal, robust
control system. e-mail: