Digital Fractional Order Differentiator/inte​grator - IIR type

General IIR digital differentiator/integrator.

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Updated 21 Nov 2011

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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. 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

Cite As

Ivo Petras (2023). Digital Fractional Order Differentiator/integrator - IIR type (https://www.mathworks.com/matlabcentral/fileexchange/3672-digital-fractional-order-differentiator-integrator-iir-type), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R12.1
Compatible with any release
Platform Compatibility
Windows macOS Linux
Acknowledgements

Inspired: Discrete Fractional-Order PID Controller

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Version Published Release Notes
1.1.0.0

Updated description. Added screenshot.

1.0.0.0