NDLI: Semi-global direct estimation of multiple frequencies with an adaptive observer having minimal parameterization

Content Provider	IEEE Xplore Digital Library
Author	Pin, Gilberto Wang, Yang Chen, Boli Parisini, Thomas
Copyright Year	2015
Description	Author affiliation: Electrolux Professional S.p.A., Italy (Pin, Gilberto) \|\| Imperial College London, UK (Wang, Yang; Chen, Boli; Parisini, Thomas)
Abstract	This paper deals with the problem of estimating the frequencies of the n sinusoidal components of a multi-sinusoidal signal. A distinctive feature of the proposed method is that the frequencies are directly adapted, thus not requiring further steps of eigenvalue extraction or polynomial root-finding to retrieve the frequencies from the characteristic polynomial, as typically done in the literature. The frequency estimation problem is approached by formulating a new state-space realization of the signal generator (oscillatory internal model) which is characterized by a minimal parameterization in the sense that only n parameters are used to assign the spectrum of the generator, i.e., the n frequencies of the components. In contrast with other existing adaptive observer-based methods that provide direct estimates of the frequencies, the proposed technique does not require state augmentation, making the overall dynamic order (internal model's state+parameters) equal to 3n.
Starting Page	3693
Ending Page	3698
File Size	613572
Page Count	6
File Format	PDF
e-ISBN	9781479978861
DOI	10.1109/CDC.2015.7402792
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-12-15
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Frequency estimation Observers Convergence Stability analysis Eigenvalues and eigenfunctions Phase locked loops
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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