% Filename: ora_foc.m
% Oustaloup-Recursive-Approximation for fractional order differentiator
% Input variables:
% r: the fractional order as in s^r, r is a real number
% N: order of the finite TF approximation for both (num/den)
% (Note: 2N+1 recursive z-p pairs)
% w_L: low frequency limit of the range of the frequency of interest
% w_H: upper freq. limit of the range of the frequency of interest
% sys_foc: continuous time transfer function system object (TF)
%  Oustaloup, A.; Levron, F.; Mathieu, B.; Nanot, F.M.; "Frequency-band
% complex noninteger differentiator: characterization and synthesis".
% EEE Transactions on Circuits and Systems I: Fundamental Theory and
% Applications, I , Volume: 47 Issue: 1, Jan. 2000, Page(s): 25 -39
%  D. Xue, Y.Q. Chen and D. Atherton. "Linear feedback control -
% analysis and design with Matlab 6.5". Textbook draft. Chapter 9
% "Fractional order control - An introduction". PDF available upon
% request. Send request email to "firstname.lastname@example.org".
For more information on FOC, check my FOC web http://mechatronics.ece.usu.edu/foc/
YangQuan Chen (2022). Oustaloup-Recursive-Approximation for Fractional Order Differentiators (https://www.mathworks.com/matlabcentral/fileexchange/3802-oustaloup-recursive-approximation-for-fractional-order-differentiators), MATLAB Central File Exchange. Retrieved .
MATLAB Release Compatibility
Platform CompatibilityWindows macOS Linux
Inspired: FracApp: numerical differ-integrals of fractional order, Fractional Order Flight Control of Quadrotor UAS: A Simscape Benchmark Environment and A Case Study, Max-sampling-period, Solution of Fractional Optimal Control Problems
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