Fully parametric identification for continuous time fractional order Hammerstein systems

Wang, J; Wei, Y; Liu, T; Li, A; Wang, Y

Fully parametric identification for continuous time fractional order Hammerstein systems

Wang, J Wei, Y Liu, T Li, A Wang, Y

Permalink

Publisher:: Elsevier BV
Publication Type:: Journal Article
Citation:: Journal of the Franklin Institute, 2020, 357, (1), pp. 651-666
Issue Date:: 2020-01-01

Closed Access

	Filename	Description	Size
	1-s2.0-S0016003219307173-main.pdf	Published version	878.37 kB	Adobe PDF	View/Open

Copyright Clearance Process

Recently Added
In Progress
Closed Access

This item is closed access and not available.

Full metadata record

Field	Value	Language
dc.contributor.author	Wang, J
dc.contributor.author	Wei, Y
dc.contributor.author	Liu, T
dc.contributor.author	Li, A
dc.contributor.author	Wang, Y
dc.date.accessioned	2021-01-10T00:32:19Z
dc.date.available	2021-01-10T00:32:19Z
dc.date.issued	2020-01-01
dc.identifier.citation	Journal of the Franklin Institute, 2020, 357, (1), pp. 651-666
dc.identifier.issn	0016-0032
dc.identifier.uri	http://hdl.handle.net/10453/145239
dc.description.abstract	© 2019 The Franklin Institute This paper mainly investigates the issue of parameters identification for continuous time fractional order Hammerstein systems. When the commensurate order of linear part in system is prior information, two estimation algorithms are proposed to identify the parameters. Both methods use filters to obtain the derivative of the continuous time signal: one based on the Poisson filter and the other using the auxiliary model to construct the filter. Afterwards, the commensurate order update law is given, which contains the relationship between parameters and orders. In addition, due to the existence of fractional order terms, an irrational item will be introduced, and this paper gives a detailed mathematical derivation to discuss this issue. The effectiveness of proposed methods is demonstrated by the numerical simulations.
dc.language	en
dc.publisher	Elsevier BV
dc.relation.ispartof	Journal of the Franklin Institute
dc.relation.isbasedon	10.1016/j.jfranklin.2019.10.001
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0102 Applied Mathematics, 0906 Electrical and Electronic Engineering
dc.subject.classification	Industrial Engineering & Automation
dc.title	Fully parametric identification for continuous time fractional order Hammerstein systems
dc.type	Journal Article
utslib.citation.volume	357
utslib.for	0102 Applied Mathematics
utslib.for	0906 Electrical and Electronic Engineering
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney
utslib.copyright.status	closed_access	*
dc.date.updated	2021-01-10T00:31:57Z
pubs.issue	1
pubs.publication-status	Published
pubs.volume	357
utslib.citation.issue	1

Abstract:

© 2019 The Franklin Institute This paper mainly investigates the issue of parameters identification for continuous time fractional order Hammerstein systems. When the commensurate order of linear part in system is prior information, two estimation algorithms are proposed to identify the parameters. Both methods use filters to obtain the derivative of the continuous time signal: one based on the Poisson filter and the other using the auxiliary model to construct the filter. Afterwards, the commensurate order update law is given, which contains the relationship between parameters and orders. In addition, due to the existence of fractional order terms, an irrational item will be introduced, and this paper gives a detailed mathematical derivation to discuss this issue. The effectiveness of proposed methods is demonstrated by the numerical simulations.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/145239