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How to design a fractional order pid controller?

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mohammad sh
mohammad sh 2023-6-19
回答： Sam Chak 2023-6-20
Hello
I want to simulate a fractional order pid controller.
How can I write code for it?
What equations are needed for this simulation?
Note that I don't want to use the fomcon block.

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Sam Chak
Sam Chak 2023-6-20
Hi @mohammad sh
Unsure if you are asking about the math or the code. If math, then you should learn about the fractional-order calculus and its computations slowly. The fractional-order PID controller is typically expressed as:
.
If you just need the code, like most optimal control algorithms, to implement with a click of a button, then look up Oustaloup’s Recursive Filter to approximate the fractional-order derivatives of a system within a certain frequency range.
https://www.mathworks.com/matlabcentral/fileexchange/3802-oustaloup-recursive-approximation-for-fractional-order-differentiators

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