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Non-asymptotic fractional order differentiators via an algebraic parametric method

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3 Author(s)
Da-Yan Liu ; Mathematical and Computer Sciences and Engineering Division, King Abdullah University of Science and Technology (KAUST), KSA ; Olivier Gibaru ; Wilfrid Perruquetti

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.

Published in:

Systems and Computer Science (ICSCS), 2012 1st International Conference on

Date of Conference:

29-31 Aug. 2012