Non-asymptotic fractional order differentiators via an algebraic parametric method - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2012

Non-asymptotic fractional order differentiators via an algebraic parametric method

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.
Fichier principal
Vignette du fichier
fractional_derivative.pdf (305.58 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00713338 , version 1 (30-06-2012)

Identifiers

Cite

Da-Yan Liu, Olivier Gibaru, Wilfrid Perruquetti. Non-asymptotic fractional order differentiators via an algebraic parametric method. 1st International Conference on Systems and Computer Science, Aug 2012, Villeneuve d'ascq, France. ⟨hal-00713338⟩
421 View
206 Download

Altmetric

Share

Gmail Facebook X LinkedIn More