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Parameter identification of unknown biased sinusoid

Parameter identification of unknown biased sinusoid An algorithm composed of a normalised frequency estimator and a first-order low-pass filter is introduced to identify online the unknown values of bias, amplitude, frequency and phase angles of a sinusoid signal. Slow integral manifold technique and averaging method are used to educe a non-linear autonomous system for frequency estimation. The global exponential stability of isolated equilibrium point and the ultimate boundedness under unknown bounded disturbance are investigated respectively. The identification and the estimation errors of bias, amplitude and phase angle under bounded disturbance are also formulated and exhibited by simulation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Systems, Control and Communications Inderscience Publishers

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Publisher
Inderscience Publishers
Copyright
Copyright © Inderscience Enterprises Ltd. All rights reserved
ISSN
1755-9340
eISSN
1755-9359
DOI
10.1504/IJSCC.2013.054138
Publisher site
See Article on Publisher Site

Abstract

An algorithm composed of a normalised frequency estimator and a first-order low-pass filter is introduced to identify online the unknown values of bias, amplitude, frequency and phase angles of a sinusoid signal. Slow integral manifold technique and averaging method are used to educe a non-linear autonomous system for frequency estimation. The global exponential stability of isolated equilibrium point and the ultimate boundedness under unknown bounded disturbance are investigated respectively. The identification and the estimation errors of bias, amplitude and phase angle under bounded disturbance are also formulated and exhibited by simulation.

Journal

International Journal of Systems, Control and CommunicationsInderscience Publishers

Published: Jan 1, 2013

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