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Digital Fractional Order Differentiator/integrator - IIR type

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5.0 | 4 ratings Rate this file 16 Downloads (last 30 days) File Size: 2.67 KB File ID: #3672 Version: 1.1
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Digital Fractional Order Differentiator/inte‚Äčgrator - IIR type


Ivo Petras (view profile)


01 Jul 2003 (Updated )

General IIR digital differentiator/integrator.

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A new general IIR digital fractional order differentiator/integrator based on continued fraction expansion of weighted operator which is mixed scheme of the trapezoidal (Tustin) rule and 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.
[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.
[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.


This file inspired Discrete Fractional Order Pid Controller.

Required Products Control System Toolbox
MATLAB release MATLAB 6.1 (R12.1)
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Comments and Ratings (5)
10 May 2012 Zhuo Li

Zhuo Li (view profile)

20 Dec 2011 ehs

ehs (view profile)

08 Nov 2010 DMS Chaitanya  
10 May 2005 asterias curl  
08 Jul 2003 YangQuan Chen

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21 Nov 2011 1.1

Updated description. Added screenshot.

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