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Discrete Fractional-Order PID Controller


Ivo Petras


Provides a transfer function of the fractional-order PID controller for given parameters.

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Digital version of Fractional-Order PID Controller (DFOC) of the form:
C(s) = K + Ti/s^m + Td*s^d for given sampling period Ts [sec].

For more details and help write:
>> help DFOC

It is based on:

See also 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


Digital Fractional Order Differentiator/Integrator Iir Type, Digital Fractional Order Differentiator/Integrator Fir Type., Digital Fractional Order Differentiator And Integrator New Iir Type, and Require Fex Package inspired this file.

Required Products Control System Toolbox
MATLAB release MATLAB 7.11 (R2010b)
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Comments and Ratings (4)
30 Nov 2014 Klaudia


thank you a lot :) this is really helpful thing

17 Nov 2014 Pritesh Shah

Pritesh Shah

20 Nov 2013 Brenda


20 Dec 2011 ehs



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