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Adaptive compensation of disturbances formed as sums of sinusoidal signals with application to an active vibration control benchmark
Umeå University, Faculty of Science and Technology, Department of Applied Physics and Electronics. The Department of Control Systems and Informatics, National Research University of Information Technologies, Mechanics and Optics, Saint-Petersburg, Russia.
Umeå University, Faculty of Science and Technology, Department of Applied Physics and Electronics. (Robotics and Control Lab)ORCID iD: 0000-0003-0730-9441
2013 (English)In: European Journal of Control, ISSN 0947-3580, E-ISSN 1435-5671, Vol. 19, no 4, 253-265 p.Article in journal (Refereed) Published
Abstract [en]

An intuitive solution for the problem of adaptive attenuation of a disturbance formed as a finite sum of unknown sinusoidal signals is proposed for an internally stable discrete-time plant. The compensator is formed as a weighted sum of stable filters. An identification-based procedure for adaptive tuning of the coefficients is proposed for the case of unknown disturbance. We also propose a time-invariant compensator that provides perfect attenuation of a disturbance for the case when a model identification error is sufficiently small and disturbance frequencies are known. The technique is applied to a case study on a challenging benchmark example in the field of active vibration control. Attenuation of a disturbance formed as a sum of up to three sinusoidal signals with unknown/time-varying frequencies is demonstrated via simulation and experimental studies. (C) 2013 European Control Association. Published by Elsevier Ltd. All rights reserved.

Place, publisher, year, edition, pages
2013. Vol. 19, no 4, 253-265 p.
Keyword [en]
Disturbance rejection, Adaptive compensation, Active vibration cancelation
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:umu:diva-79429DOI: 10.1016/j.ejcon.2013.05.008ISI: 000322102200004OAI: oai:DiVA.org:umu-79429DiVA: diva2:645105
Available from: 2013-09-03 Created: 2013-08-19 Last updated: 2017-12-06Bibliographically approved

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Aranovskiy, StanislavFreidovich, Leonid

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