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Ю.В. Журавлёв
10
Identification of dynamic characteristics
by the method of generating functions
© Yu.V. Zhuravlev
Bauman Moscow State Technical University, Moscow, 105005, Russia
The fundamental question in this research is that of parametric identification of a wide
class of linear time-invariant systems with a mathematical model in the structure of ra-
tional transfer functions. We develop the methods of using Hermite generating functions
for identification using the information about the input and output signals and offer a
strategy of gradual experimental identification of the object. By means of simulation in
the MATLAB system we prove theoretical predictions concerning the key issues of using
the methods of generating functions, including the separability of stages of filtration and
identification.
Keywords:
identification, generating function, filtration, simulation.
REFERENCES
[1]
Kwakernaak H., Sivan R.
Lineinye optimalnye sistemy upravleniya
[Linear
optimal control systems]. Moscow, Mir Publ., 1977, 650 p. [in Russian].
[2]
Pontryagin L.S.
Obyknovennye differentsialnye uravneniya
[Ordinary differential
equations]. Moscow, Nauka Publ., 1974.
[3]
Eykhoff P.
Osnovy identifikatsii sistem upravleniya
[Fundamentals of control
system identification]. Moscow, Mir Publ., 1975, 493 p. [in Russian].
[4]
Ljung L.
Identifikatsiya sistem. Teoriya dlya polzovatelya
[System Identification.
The theory for the user]. Moscow, Nauka Publ., 1991, 432 p.
[5]
Tokaya K. The use of Hermite functions for systems identification.
IEEE
Trans
., 1968, AC-13, August, no. 4.
[6]
Zhuravlev Yu.V. Identifikatsiya lineynykh statsionarnykh sistem metodom
proizvodyashchikh funktsiy [Identification of linear time-invariant systems by
the method of generating functions]. In: Issledovanie, proektirovanie i raschet
tekhnicheskikh sredstv kibernetiki, radiosistem i ustanovok letatelnykh
apparatov.
[Research, design and calculation of technical means of
cybernetics, radio systems and installations of aircraft]. Kozlov V.I.,
Protopopov A.S. ed.
Trudy MAI
—
MAI Proceed
., 1976, iss. 348, pp. 9–16.
[7]
Zhuravlev Yu.V.
Vestnik MGTU im. N. E. Baumana. Ser. Estestvennye nauki —
Herald of Moscow Bauman State Technical University. Ser. Natural Sciences,
2010, no. 2, pp. 3–15.
[8]
Zhuravlev Yu.V. O razdelimosti zadach filtratsii i identifikatsii lineinykh
statsionarnykh dinamicheskikh sistem [On separation of filtration problems
and identification of linear stationary dynamic systems]. In: Voprosy
kibernetiki i radiotekhniki [Problems of cybernetics and robotics.]. Kozlov V.I.
ed.
Trudy MAI
—
MAI Proceed
., 1977, iss. 426, pp. 24–28.
[9]
Zhuravlev Yu.V.
Inzhenernyy zhurnal: nauka i innovatsii — Engineering Journal:
Science and Innovation
, 2012, no. 2. doi: 10.18698/2308-6033-2012-2-67.
[10]
Zhuravlev Yu.V.
Vestnik MGTU im. N. E. Baumana. Ser. Priborostroenie —
Herald of Moscow Bauman State Technical University. Series Instrument
Engineering
, 2013, no. 4(93), pp. 90–100.