Identification of dynamic characteristics by the method of generating functions
Authors: Zhuravlev Yu.V.
Published in issue: #6(42)/2015
DOI: 10.18698/2308-6033-2015-6-1414
Category: Mechanics | Chapter: Dynamics, Strength of Machines, Instruments, and Equipment
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 rational 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.
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.
[11] Nikiforov A.F., Uvarov V.B. Spetsialnye funktsii matematicheskoy Jiziki [Special functions of mathematical physics]. 2nd ed. Moscow, Nauka Publ., 1984, 344 p.