# Estimation Algorithm Non-Stationary Frequency of the Sinusoidal Signal

@article{Nizovtsev2021EstimationAN, title={Estimation Algorithm Non-Stationary Frequency of the Sinusoidal Signal}, author={S. I. Nizovtsev and Sergei V. Shavetov and Anton A. Pyrkin}, journal={ArXiv}, year={2021}, volume={abs/2109.09347} }

The article considers the problem of identifying the variable frequency of a sinusoidal signal. To obtain a regression model of the signal, an iterative differentiation of the original analytical expression is performed, and the swapping lemma is applied. The estimation of the parameters of the non-stationary frequency is implemented using the dynamic expansion of the regressor and mixing (DREM) procedure and the Luenberger observer. As a result of the numerical simulation, the efficiency of… Expand

#### References

SHOWING 1-10 OF 14 REFERENCES

Finite Time Frequency Estimation for Multi-Sinusoidal Signals

- Mathematics, Computer Science
- Eur. J. Control
- 2021

A method to estimate frequencies of a multi-sinusoidal signal in finite time by transforming this nonlinear problem into a linear regression, where unknown parameters depend on signal frequencies. Expand

The multi-harmonic signal frequencies estimation in finite time

- Physics
- 2021

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… Expand

DREM-based Parametric Estimation of Bias-affected Damped Sinusoidal Signals*

- Computer Science, Mathematics
- 2020 European Control Conference (ECC)
- 2020

The Dynamic Regressor Extension and Mixing (DREM) method is used to replace third order regression with three first order regression models, where simple relaxation is applied to provide exponential convergence of the estimation error to zero. Expand

A parameter estimation approach to state observation of nonlinear systems

- Mathematics, Computer Science
- 2015 54th IEEE Conference on Decision and Control (CDC)
- 2015

The proposed approach is shown to be applicable to position estimation of a class of electromechanical systems and to two assumptions related to solvability of a partial differential equation and the ability to estimate the unknown parameters. Expand

Adaptive state observers using dynamic regressor extension and mixing

- Computer Science, Mathematics
- Syst. Control. Lett.
- 2019

This paper proposes an adaptive state observer for a class of nonlinear systems with unknown parameters and uses the recently proposed dynamic regressor extension and mixing approach, whose main feature is that it allows to generate, out of an N -dimensional, linear vector regression, N scalar regression models. Expand

Идентификация линейно изменяющихся во времени параметров нестационарных систем

- Mathematics
- 2019

The paper considers the identification algorithm for unknown parameters of linear non-stationary control objects. It is assumed that only the object output variable and the control signal are… Expand

State observers for reaction systems with improved convergence rates

- Mathematics
- Journal of Process Control
- 2019

Abstract The problem of designing state observers for reaction systems whose convergence rate is faster than the standard asymptotic observers [7] is addressed in this paper. It is assumed that the… Expand

Nonlinear observers and applications

- Computer Science
- 2007

This paper presents an overview of Observer Tools for Nonlinear Systems and their applications, and discusses Parameter/Fault Estimation in Nonlinear systems and Adaptive Observers. Expand

Ведяков. Идентификация полиномиальных параметров нестационарных линейных систем // Известия высших учебных заведений

- Приборостроение. 2021
- 2021

Real-time vibration monitoring

- Computer Science
- Geotechnics Fundamentals and Applications in Construction: New Materials, Structures, Technologies and Calculations
- 2019