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Digital Fractional Order Differentiator/integrator - FIR type.

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Digital Fractional Order Differentiator/integrator - FIR type.

by Ivo Petras

 

01 Jul 2003 (Updated 21 Nov 2011)

General FIR digital differentiator/integrator.

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Description

A new general FIR digital fractional order differentiator/integrator based on power series expansion of the backward difference (Euler) rule.

For more details see books:

[1] Ivo Petras, Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation, Springer, Series: Nonlinear Physical Science, 2011, ISBN 978-3-642-18100-9. http://www.springer.com/engineering/control/book/978-3-642-18100-9
[2] Riccardo Caponetto, Giovanni Dongola, Luigi Fortuna and Ivo Petras, Fractional Order Systems: Modeling and Control Applications, World Scientific, Singapore, 2010, ISBN 978-9-814-30419-1. http://www.worldscibooks.com/chaos/7709.html
[3] Ivo Petras, Fractional Derivatives, Fractional Integrals, and Fractional Differential Equations in Matlab, chapter 10, in: Engineering Education and Research Using MATLAB, Ali H. Assi (Ed.), InTech, ISBN 978-953-307-656-0. http://www.intechopen.com/articles/show/title/fractional-derivatives-fractional-integrals-and-fractional-differential-equations-in-matlab

Acknowledgements
This submission has inspired the following:
Discrete Fractional-Order PID Controller
Required Products Filter Design Toolbox
MATLAB release MATLAB 6.1 (R12.1)
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Comments and Ratings (2)
20 Dec 2011 ehs  
13 Jan 2012 sumeet

gud

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Updates
21 Nov 2011

Updated description. Added screenshot.

Tag Activity for this File
Tag Applied By Date/Time
filter design Ivo Petras 22 Oct 2008 07:04:10
filter analysis Ivo Petras 22 Oct 2008 07:04:10
fractional calculus Ivo Petras 22 Oct 2008 07:04:10
digital differentiator Ivo Petras 22 Oct 2008 07:04:10
digital integrator Ivo Petras 22 Oct 2008 07:04:10
conti Ivo Petras 22 Oct 2008 07:04:10

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