TY - GEN
T1 - Non-asymptotic fractional order differentiators via an algebraic parametric method
AU - Liu, Dayan
AU - Gibaru, O.
AU - Perruquetti, Wilfrid
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2012/8
Y1 - 2012/8
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/564585
UR - http://arxiv.org/abs/arXiv:1207.0129v1
UR - http://www.scopus.com/inward/record.url?scp=84877681105&partnerID=8YFLogxK
U2 - 10.1109/IConSCS.2012.6502445
DO - 10.1109/IConSCS.2012.6502445
M3 - Conference contribution
SN - 9781467306720
BT - 2012 1st International Conference on Systems and Computer Science (ICSCS)
PB - Institute of Electrical and Electronics Engineers (IEEE)
ER -