How to design a fractional order pid controller?
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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
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:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1415679/image.png)
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.
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