TY - JOUR

T1 - The multi-harmonic signal frequencies estimation in finite time

AU - Vediakova, A. O.

AU - Vedyakov, A. A.

AU - Pyrkin, A. A.

AU - Bobtsov, A. A.

AU - Gromov, V. S.

N1 - Conference code: 13

PY - 2021/5/20

Y1 - 2021/5/20

N2 - The paper presents a method to estimate the frequencies of a multi-harmonic signal in finite time. We use parameterization based on applying delay operators to a measurable signal. The result is a linear regression model with an unknown vector which depends on the signal parameters. We use Dynamic Regressor Extension and Mixing method to replace the n-th order regression model with scalar regressions. After that, we estimate the parameters separately using the standard gradient descent method. In the last step, we find algebraically the finite-time parameter estimates. The set of numerical simulations demonstrates the efficiency of the proposed approach.

AB - The paper presents a method to estimate the frequencies of a multi-harmonic signal in finite time. We use parameterization based on applying delay operators to a measurable signal. The result is a linear regression model with an unknown vector which depends on the signal parameters. We use Dynamic Regressor Extension and Mixing method to replace the n-th order regression model with scalar regressions. After that, we estimate the parameters separately using the standard gradient descent method. In the last step, we find algebraically the finite-time parameter estimates. The set of numerical simulations demonstrates the efficiency of the proposed approach.

UR - http://www.scopus.com/inward/record.url?scp=85107441660&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1864/1/012116

DO - 10.1088/1742-6596/1864/1/012116

M3 - Conference article

AN - SCOPUS:85107441660

VL - 1864

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012116

T2 - 13th Multiconference on Control Problems, MCCP 2020

Y2 - 6 October 2020 through 8 October 2020

ER -