What software do you prefer?
obviously MATLAB
For simulation and implementation you can use Simulink in MATLAB and fomcon toolbox respectively. Reference papers for fractional order controllers are attached below -
1.https://ieeexplore.ieee.org/abstract/document/8979086/
2.https://www.sciencedirect.com/science/article/pii/S1877050920312990
3.https://ieeexplore.ieee.org/abstract/document/9087104/
Dear Majid:
Matlab Simulink
There is a symbol
PID controller
(Propotional Integrator Differential).
In it's properites you can choose any mode you need.
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