Abstract
The problem of identification of the sinusoidal signal parameters is very popular in the modern theory and practice of the automatic control. However, the problem of quality of estimation related with the increase in the rate of parametric identification is studied weakly until now. At the same time, the requirements on the quality of processes at realization of the up-to-date systems represent one of the key criteria for selecting one or another approach. A new method for estimation of the sinusoidal signal parameters enabling an increase in the rate of parametric identification was proposed. Consideration was given to a signal representing a sum of two sinusoids which can be easily extended to a more general case.
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Pyrkin, A.A., Bobtsov, A.A., Vedyakov, A.A., and Kolyubin, S.A., Estimation of Polyharmonic Signal Parameters, Autom. Remote Control, 2015, vol. 76, no. 8, pp. 2124–2142.
Pyrkin, A.A., Bobtsov, A.A., Nikiforov, V.O., Kolyubin, S.A., Vedyakov, A.A., Borisov, O.I., and Gromov, V.S., Compensation of Polyharmonic Disturbance of State and Output of a Linear Plant with Delay in the Control Channel, Autom. Remote Control, 2015, vol. 76, no. 1, pp. 2124–2142.
Obregón-Pulido, G., Castillo-Toledo, B., and Loukianov, A.A., Globally Convergent Estimator for n-Frequencies, IEEE Transact. Autom. Control, 2002, vol. 47, pp. 857–863.
Xia, X., Global Frequency Estimation Using Adaptive Identifiers, IEEE Transact. Autom. Control, 2002, vol. 47, pp. 1188–1193.
Marino, R. and Tomei P., Global Estimation of n Unknown Frequencies, IEEE Transact. Autom. Control, 2002, vol. 47, pp. 1324–1328.
Bobtsov, A.A., Vedyakov, A.A., Kolyubin, S.A., and Pyrkin, A.A., Hybrid Algorithm to Identify Frequencies of the Multisinusoidal Signal, Nauch.-Tekh. Vestn. Inform. Tekhnol., Mekh., Opt., 2013, no. 4, pp. 7–10.
Aranovskii, S.V., Bobtsov, A.A., and Pyrkin, A.A., Cascaded Reduction in Identification Problems, Nauch.-Tekh. Vestn. Inform. Tekhnol., Mekh., Opt., 2012, no. 3, pp. 149–150.
Ljung, L., System Identification: Theory for the User, Englewood Cliffs: Prentice Hall, 1987. Translated under the title Identifikatsiya sistem. Teoriya dlya pol’zovatelya, Moscow: Nauka, 1991.
Aranovskiy, S., Bobtsov, A., Kremlev, A., Nikolaev, N., and Slita, O., Identification of Frequency of Biased Harmonic Signal, Eur. J. Control, 2010, no. 2, pp. 129–139.
Aranovskiy, S., Bobtsov, A.A., Pyrkin, A.A., and Gritcenko, P., Improved Frequency Identification via an Adaptive Filters Cascade 2014, in IEEE Conf. Control Appl., CCA, 2014, pp. 140–145.
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Original Russian Text © J. Wang, P.A. Gritsenko, S.V. Aranovskiy, A.A. Bobtsov, A.A. Pyrkin, 2017, published in Avtomatika i Telemekhanika, 2017, No. 3, pp. 5–14.
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Wang, J., Gritsenko, P.A., Aranovskiy, S.V. et al. A method for increasing the rate of parametric convergence in the problem of identification of the sinusoidal signal parameters. Autom Remote Control 78, 389–396 (2017). https://doi.org/10.1134/S0005117917030018
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DOI: https://doi.org/10.1134/S0005117917030018