How to design a fractional order pid controller?

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.

[Mathieu NOE]

see

ninteger - File Exchange - MATLAB Central (mathworks.com)

Answer 1

[Sam Chak]

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