A novel orthogonalized fractional order filtered-x normalized least mean squares algorithm for feedforward vibration rejection

Yin, W; Wei, Y; Liu, T; Wang, Y

A novel orthogonalized fractional order filtered-x normalized least mean squares algorithm for feedforward vibration rejection

Yin, W Wei, Y Liu, T

Wang, Y

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Publication Type:: Journal Article
Citation:: Mechanical Systems and Signal Processing, 2019, 119 pp. 138 - 154
Issue Date:: 2019-03-15

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Field	Value	Language
dc.contributor.author	Yin, W	en_US
dc.contributor.author	Wei, Y	en_US
dc.contributor.author	Liu, T https://orcid.org/0000-0001-8107-8587	en_US
dc.contributor.author	Wang, Y	en_US
dc.date.issued	2019-03-15	en_US
dc.identifier.citation	Mechanical Systems and Signal Processing, 2019, 119 pp. 138 - 154	en_US
dc.identifier.issn	0888-3270	en_US
dc.identifier.uri	http://hdl.handle.net/10453/136878
dc.description.abstract	© 2018 Elsevier Ltd This paper mainly discusses a pattern of vibration rejection by using a feedforward controller. Conventional filtered-x normalized least mean squares (Fx-NLMS) algorithm converges slow especially when signals are not independent on each other. Therefore, a novel orthogonalized fractional order filtered-x normalized least mean squares (Orth-FONLMS) algorithm is proposed to obtain the precise parameters of the feedforward controller. The proposed algorithm is an improved Fx-NLMS algorithm by using fractional calculus and orthogonal transform. To implement the algorithm, fractional order gradient method and adaptive lattice filter are introduced, respectively. Numerical simulation proves that the proposed algorithm outperforms over the Fx-NLMS and fractional order filtered-x normalized least mean squares (Fx-FONLMS) algorithm in terms of convergence rate and accuracy.	en_US
dc.relation.ispartof	Mechanical Systems and Signal Processing	en_US
dc.relation.isbasedon	10.1016/j.ymssp.2018.09.024	en_US
dc.subject.classification	Acoustics	en_US
dc.title	A novel orthogonalized fractional order filtered-x normalized least mean squares algorithm for feedforward vibration rejection	en_US
dc.type	Journal Article
utslib.citation.volume	119	en_US
utslib.for	0905 Civil Engineering	en_US
utslib.for	0913 Mechanical Engineering	en_US
utslib.for	0915 Interdisciplinary Engineering	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Students
utslib.copyright.status	closed_access
pubs.publication-status	Published	en_US
pubs.volume	119	en_US

Abstract:

© 2018 Elsevier Ltd This paper mainly discusses a pattern of vibration rejection by using a feedforward controller. Conventional filtered-x normalized least mean squares (Fx-NLMS) algorithm converges slow especially when signals are not independent on each other. Therefore, a novel orthogonalized fractional order filtered-x normalized least mean squares (Orth-FONLMS) algorithm is proposed to obtain the precise parameters of the feedforward controller. The proposed algorithm is an improved Fx-NLMS algorithm by using fractional calculus and orthogonal transform. To implement the algorithm, fractional order gradient method and adaptive lattice filter are introduced, respectively. Numerical simulation proves that the proposed algorithm outperforms over the Fx-NLMS and fractional order filtered-x normalized least mean squares (Fx-FONLMS) algorithm in terms of convergence rate and accuracy.

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http://hdl.handle.net/10453/136878