Non-asymptotic fractional order differentiators via an algebraic parametric method

Handle URI:
http://hdl.handle.net/10754/564585
Title:
Non-asymptotic fractional order differentiators via an algebraic parametric method
Authors:
Liu, Dayan; Gibaru, O.; Perruquetti, Wilfrid
Abstract:
Recently, Mboup, Join and Fliess [27], [28] introduced non-asymptotic integer order differentiators by using an algebraic parametric estimation method [7], [8]. In this paper, in order to obtain non-asymptotic fractional order differentiators we apply this algebraic parametric method to truncated expansions of fractional Taylor series based on the Jumarie's modified Riemann-Liouville derivative [14]. Exact and simple formulae for these differentiators are given where a sliding integration window of a noisy signal involving Jacobi polynomials is used without complex mathematical deduction. The efficiency and the stability with respect to corrupting noises of the proposed fractional order differentiators are shown in numerical simulations. © 2012 IEEE.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2012 1st International Conference on Systems and Computer Science (ICSCS)
Conference/Event name:
2012 1st International Conference on Systems and Computer Science, ICSCS 2012
Issue Date:
Aug-2012
DOI:
10.1109/IConSCS.2012.6502445
ARXIV:
arXiv:1207.0129
Type:
Conference Paper
ISBN:
9781467306720
Additional Links:
http://arxiv.org/abs/arXiv:1207.0129v1
Appears in Collections:
Conference Papers; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorLiu, Dayanen
dc.contributor.authorGibaru, O.en
dc.contributor.authorPerruquetti, Wilfriden
dc.date.accessioned2015-08-04T07:04:32Zen
dc.date.available2015-08-04T07:04:32Zen
dc.date.issued2012-08en
dc.identifier.isbn9781467306720en
dc.identifier.doi10.1109/IConSCS.2012.6502445en
dc.identifier.urihttp://hdl.handle.net/10754/564585en
dc.description.abstractRecently, Mboup, Join and Fliess [27], [28] introduced non-asymptotic integer order differentiators by using an algebraic parametric estimation method [7], [8]. In this paper, in order to obtain non-asymptotic fractional order differentiators we apply this algebraic parametric method to truncated expansions of fractional Taylor series based on the Jumarie's modified Riemann-Liouville derivative [14]. Exact and simple formulae for these differentiators are given where a sliding integration window of a noisy signal involving Jacobi polynomials is used without complex mathematical deduction. The efficiency and the stability with respect to corrupting noises of the proposed fractional order differentiators are shown in numerical simulations. © 2012 IEEE.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://arxiv.org/abs/arXiv:1207.0129v1en
dc.titleNon-asymptotic fractional order differentiators via an algebraic parametric methoden
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journal2012 1st International Conference on Systems and Computer Science (ICSCS)en
dc.conference.date29 August 2012 through 30 August 2012en
dc.conference.name2012 1st International Conference on Systems and Computer Science, ICSCS 2012en
dc.conference.locationVilleneuve d'Ascqen
dc.contributor.institutionLSIS (CNRS, UMR 7296), Arts et Métiers ParisTech, Centre de Lille, Franceen
dc.contributor.institutionLAGIS (CNRS, UMR 8146), École Centrale de Lille, INRIA Lille-Nord Europe, Franceen
dc.identifier.arxividarXiv:1207.0129en
kaust.authorLiu, Dayanen
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