A globally convergent frequency estimator of a sinusoidal signal with a time-varying amplitude

Abstract : The paper considers the problem of continuous-time online frequency estimation for a sinusoidal signal with a time-varying amplitude, where the latter is given by a known function of time multiplied by an unknown constant. To solve the problem a novel parameterization method is applied yielding linear regression with three unknown constant parameters. Next, two estimation algorithms are proposed, where the first is based on the conventional gradient approach, and a recently proposed dynamic regressor extension and mixing procedure is used for the second. Global exponential convergence of the proposed frequency estimator is established, and the obtained performance is illustrated with simulations.
Type de document :
Article dans une revue
European Journal of Control, Lavoisier, 2017, 〈10.1016/j.ejcon.2017.08.001〉
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https://hal-centralesupelec.archives-ouvertes.fr/hal-01612130
Contributeur : Stanislav Aranovskiy <>
Soumis le : vendredi 6 octobre 2017 - 15:04:02
Dernière modification le : mercredi 16 mai 2018 - 11:23:51

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Alexey A. Vedyakov, Anastasiia O. Vediakova, Alexey A. Bobtsov, Anton A. Pyrkin, Stanislav Aranovskiy. A globally convergent frequency estimator of a sinusoidal signal with a time-varying amplitude. European Journal of Control, Lavoisier, 2017, 〈10.1016/j.ejcon.2017.08.001〉. 〈hal-01612130〉

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