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Digital Fractional Order Differentiator/integrator - IIR type

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Digital Fractional Order Differentiator/integrator - IIR type

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01 Jul 2003 (Updated )

General IIR digital differentiator/integrator.

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Description

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. 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 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  
20 Dec 2011 ehs  
08 Nov 2010 DMS Chaitanya  
10 May 2005 asterias curl  
08 Jul 2003 YangQuan Chen

See also here
http://www.mathworks.com/matlabcentral/fileexchange/loadFile.do?objectId=3518&objectType=FILE
More information is here
http://www.csois.usu.edu/people/yqchen/dd/index.html
and here
http://mechatronics.ece.usu.edu/foc/

Updates
21 Nov 2011

Updated description. Added screenshot.

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