Abstract
A test harmonic signal underlies the finite-frequency identification method. It not easy to specify its frequencies, because they must be chosen in the range of eigenfrequencies determined by the coefficients of the identified object. A method of determining the eigenfrequency bounds for the identified object is developed.
Similar content being viewed by others
REFERENCES
Ljung, L., System Identification: Theory for the Use, Englewood Cliffs: Prentice Hall, 1987. Translated under the title Identifikatsiya sistem. Teoriya glya pol'sovatelya, Moscow: Nauka, 1991.
Fomin, V.N., Fradkov, A.L., and Yakubovich, V.A., ektami (Adaptive Control for Dynamic Objects), Moscow: Nauka, 1981.
Wahlberg, Bo. and Ljung, L., Hard Frequency-Domain Model Error Bounds from Least-Square Like Identification Techniques, IEEE Trans. Autom. Control, 1992, vol. 37, no. 7, pp. 900-912.
Milanese, M., Properties of Least-Squares Estimates in Set Membership Identification, 10th IFAC Sympos. Syst. Identific., Copenhagen, 1994, vol. 2, pp. 97-102.
Alexandrov, A.G., Finite-Frequency Identi_cation and Model Validation of Stable Plant, 14th World Congr. IFAC, Beijing, China, 1999, vol. H, pp. 295-301.
Aleksandrov, A.G., Frequency Adaptive Control for a Stable Object under Unknown Bounded Disturbance, Avtom. Telemekh., 2000, no. 4, pp. 106-116.
Kardashov, A.A. and Kornyushin, L.V., Determination of Parameters of a System from Experimental Frequency Characteristics Data, Avtom. Telemekh., 1958, no. 4, pp. 335-345.
Pintelon, R., Guillaume, P., Rolain, Y., et al., Parametric Identification of Transfer Functions in the Frequency domain: A survey, IEEE Trans. Autom. Control, 1994, vol. 39, no. 11.
Aleksandrov, A.G., The Frequency Parameter Method, Avtom. Telemekh., 1989, no. 12, pp. 3-15.
Aleksandrov, A.G., Frequency Adaptive Control. I, Avtom. Telemekh., 1994, no. 12, pp. 93-104.
Graebe, S.F., Robust and Adaptive Control of an Unknown Plant: A Benchmark of New Format, 12th World Congr. IFAC, Sydney, 1993, vol. III, pp. 165-170.
Alexandrov, A.G., Finite-Frequency Identi_cation: Choice of Test Frequencies, 3th Asian Control Conf., Shanghai, China, pp. 1703-1708.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Aleksandrov, A.G. Finite-Frequency Identification: Test Frequency Bounds. Automation and Remote Control 62, 1759–1769 (2001). https://doi.org/10.1023/A:1012768821828
Issue Date:
DOI: https://doi.org/10.1023/A:1012768821828