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Digital fractional-order differentiator and integrator - new IIR type

by Ivo Petras

 

08 May 2011 (Updated 07 Dec 2011)

A new IIR type of the fractional-order differentiator and integrator.

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Description

A new general IIR type digital fractional-order differentiator and integrator based on power series expansion of the trapezoidal (Tustin) rule.

For more details and help write:
>> help dfod3

See also my previous digital fractional-order differentiators and integrators:

http://www.mathworks.com/matlabcentral/fileexchange/3672

http://www.mathworks.com/matlabcentral/fileexchange/3673

or more information in the article:

http://www.advancesindifferenceequations.com/content/2011/1/652789

Acknowledgements
This submission has inspired the following:
Discrete Fractional-Order PID Controller
Required Products Control System Toolbox
MATLAB release MATLAB 7.11 (2010b)
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10 May 2012 Zhuo Li  
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Updates
07 Dec 2011

Updated description.

Tag Activity for this File
Tag Applied By Date/Time
fractional calculus Ivo Petras 09 May 2011 10:34:07
digital integrator Ivo Petras 09 May 2011 10:34:07
digital differentiator Ivo Petras 09 May 2011 10:34:07
filter Ivo Petras 09 May 2011 10:34:07
tustin rule Ivo Petras 09 May 2011 10:34:07
tustin rule Gowri 07 Jun 2011 15:25:01

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