File Exchange

Oustaloup-Recursive-Approximation for Fractional Order Differentiators

version 1.0.0.0 (1.89 KB) by
Oustaloup-Recursive-Approximation for fractional order differentiator.

8 Downloads

Updated 04 Aug 2003

No License

% 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
% Output:
% sys_foc: continuous time transfer function system object (TF)

% Reference
% [1] 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
% [2] 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 "yqchen@ieee.org".

For more information on FOC, check my FOC web http://mechatronics.ece.usu.edu/foc/

Cite As

YangQuan Chen (2021). 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 .

Comments and Ratings (7)

youcef

your function helped me alot

youcef

thank you

qi xiang

very well

Pritesh Shah

Very well explain

RAM LAT

good

Wojciech Roman

I am interested any documents of Fractional Calculus, fractional Order Controler, ...

MATLAB Release Compatibility
Created with R13
Compatible with any release
Platform Compatibility
Windows macOS Linux

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!