Abstract
The article deals with the issue of identification of an unknown frequency of a shifted sinusoidal signal y(t) = σ 0 + σ sin(ωt + ϕ). A new approach taken to estimate the frequency of a shifted sinusoidal signal is suggested, which is a robust approach relative to undetermined disturbances present in the measurement of a useful signal. In contrast to known analogs, the given approach permits controlling the time of estimation of the unknown frequency ω. The dimension of the identification algorithm suggested is less than that of known analogs.
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Clarke, D.W., On the Design of Adaptive Notch Filters, Int. J. Adapt. Control, 2001, vol. 15, pp. 715–744.
Wonham, W.M., Linear Multivariable Control: A Geometric Approach, New York: Springer-Verlag, 1979. Translanted under the title Lineinye mnogomernye sistemy: geometricheskii podkhod Moscow: Nauka, 1980.
Nikiforov, V.O., Gutner, I.E., and Sergachev, I.V., The System of Active Vibroprotection: Development, Results of Tests, and Perspectives of Development, Mekhatron. Avtomatiz. Upravlen., 2004, no. 2, pp. 13–22.
Lyamin, A.V., Shiegin, V.V., and Bobtsov, A.A., Path-Following and Adaptation of Wheeled Mobile Robots for Motion Along Unknown Paths, 29 Int. Sympos. Robot., Birmingham, 1998, pp. 211–214.
Bobtsov, A.A., Dudarenko, N.A., and Lyamin, A.V., Trajectory Control of a Two-Drive Robot Using Methods of Adaptation and Self-Learning, Mater. nauch. shk.-konf. “Mobil’nye roboty i sistemy,” (Mater. Scient. Sch.-Conf. “Mobile Robots and Systems”), Moscow: Mosk. Gos. Univ., 2000, pp. 114–126.
Bodson, M. and Douglas, S.C., Adaptive Algorithms for the Rejection of Periodic Disturbances with Unknown Frequencies, Automatica, 1997, vol. 33, pp. 2213–2221.
Hsu, L., Ortega, R., and Damm, G., A Globally Convergent Frequency Estimator, IEEE Trans. Automat. Control, 1999, vol. 46, pp. 967–972.
Mojiri, M. and Bakhshai, A.R., An Adaptive Notch Filter for Frequency Estimation of a Periodic Signal, IEEE Trans. Automat. Control, 2004, vol. 49, pp. 314–318.
Marino, R. and Tomei, R., Global Estimation of Unknown Frequencies, IEEE Trans. Automat. Control, 2002, vol. 47, pp. 1324–1328.
Xia, X., Global Frequency Estimation Using Adaptive Identifiers, IEEE Trans. Automat. Control, 2002, vol. 47, pp. 1188–1193.
Obreg’on-Pulido, G., Castillo-Toledo, B., and Loukianov, A.A., Globally Convergent Estimator for n-Frequencies, IEEE Trans. Automat. Control, 2002, vol. 47, pp. 857–863.
Bobtsov, A., Lyamin, A., and Romasheva, D., Algorithm of Parameter’s Identification of Polyharmonic Function, 15 IFAC World Congress Automat. Control, Barcelona, 2002.
Bobtsov, A.A. and Kremlev, A.S., Adaptive Identification of Frequency of a Shifted Sinusoidal Signal, Izv. Vuzov, Priborostr., 2005, no. 4, pp. 22–26.
Hou, M., Amplitude and Frequency Estimator of a Sinusoid, IEEE Trans. Automat. Control, 2005, vol. 50, pp. 855–858.
D’yakonov, V., MATLAB6. Uchebnyi kurs (MATLAB 6. Course of Studies), St. Petersburg: Piter, 2001.
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Original Russian Text © S.V. Aranovskii, A.A. Bobtsov, A.S. Kremlev, G.V. Luk’yanova, N.A. Nikolaev, 2008, published in Avtomatika i Telemekhanika, 2008, No. 9, pp. 3–9.
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Aranovskii, S.V., Bobtsov, A.A., Kremlev, A.S. et al. Identification of frequency of a shifted sinusoidal signal. Autom Remote Control 69, 1447–1453 (2008). https://doi.org/10.1134/S0005117908090014
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DOI: https://doi.org/10.1134/S0005117908090014