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Oustaloup-Recursive-Approximation for Fractional Order Differentiators

by YangQuan Chen

 

01 Aug 2003 (Updated 04 Aug 2003)

Oustaloup-Recursive-Approximation for fractional order differentiator.

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% 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/

Acknowledgements
This submission has inspired the following:
Solution of Fractional Optimal Control Problems
MATLAB release MATLAB 6.5 (R13)
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Comments and Ratings (1)
23 Jun 2005 Wojciech Roman

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

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Tag Activity for this File
Tag Applied By Date/Time
filter design YangQuan Chen 22 Oct 2008 07:05:45
filter analysis YangQuan Chen 22 Oct 2008 07:05:45
fractional order differentiator YangQuan Chen 22 Oct 2008 07:05:45
signal processing YangQuan Chen 22 Oct 2008 07:05:45
oustaloup YangQuan Chen 22 Oct 2008 07:05:45

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