Fixed pole based modeling and simulation schemes for fractional order systems

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

Fixed pole based modeling and simulation schemes for fractional order systems

Wei, Y Wang, J Liu, T

Wang, Y

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Publication Type:: Journal Article
Citation:: ISA Transactions, 2019, 84 pp. 43 - 54
Issue Date:: 2019-01-01

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Field	Value	Language
dc.contributor.author	Wei, Y	en_US
dc.contributor.author	Wang, J	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.accessioned	2020-03-27T00:00:26Z
dc.date.available	2018-10-01	en_US
dc.date.available	2020-03-27T00:00:26Z
dc.date.issued	2019-01-01	en_US
dc.identifier.citation	ISA Transactions, 2019, 84 pp. 43 - 54	en_US
dc.identifier.issn	0019-0578	en_US
dc.identifier.uri	http://hdl.handle.net/10453/139557
dc.description.abstract	© 2018 ISA This paper mainly investigates the numerical implementation issue of fractional order systems. First, a pattern of fixed pole schemes are developed to approximate fractional integrator/differentiator, whose common is that the poles keep constant for different α. Then, two solutions are proposed to improve the approximation performance around α=0. Afterwards, the simulation schemes are introduced for two kinds of fractional order systems. In those schemes, the configuration problem of nonzero initial value is considered. Finally, a fair and solid comparison to the classical approximation methods is presented, demonstrating the effectiveness and efficiency of the elaborated algorithms.	en_US
dc.relation.ispartof	ISA Transactions	en_US
dc.relation.isbasedon	10.1016/j.isatra.2018.10.001	en_US
dc.subject.classification	Industrial Engineering & Automation	en_US
dc.title	Fixed pole based modeling and simulation schemes for fractional order systems	en_US
dc.type	Journal Article
utslib.citation.volume	84	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
utslib.for	0910 Manufacturing 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	84	en_US

Abstract:

© 2018 ISA This paper mainly investigates the numerical implementation issue of fractional order systems. First, a pattern of fixed pole schemes are developed to approximate fractional integrator/differentiator, whose common is that the poles keep constant for different α. Then, two solutions are proposed to improve the approximation performance around α=0. Afterwards, the simulation schemes are introduced for two kinds of fractional order systems. In those schemes, the configuration problem of nonzero initial value is considered. Finally, a fair and solid comparison to the classical approximation methods is presented, demonstrating the effectiveness and efficiency of the elaborated algorithms.

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http://hdl.handle.net/10453/139557