Non-asymptotic fractional order differentiators via an algebraic parametric method

Dayan Liu, O. Gibaru, Wilfrid Perruquetti

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Scopus citations

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.
Original languageEnglish (US)
Title of host publication2012 1st International Conference on Systems and Computer Science (ICSCS)
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
ISBN (Print)9781467306720
DOIs
StatePublished - Aug 2012

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