Dear Balvinder,

I suggest you to see links and attached files on topic.

Tuning of PID Controller for Load Frequency Control ...

https://www.researchgate.net › publication › 29943294...

Two Area Load Frequency Control Using GA Tuned PID ...

https://www.researchgate.net › publication › 28854135...

Load–Frequency Control Using Multi-objective Genetic ...

https://link.springer.com › content › pdf

Applications of Artificial Intelligence Techniques in ...

https://books.google.dz › books

Challenges and Opportunities of Load Frequency Control in ...

https://www.mdpi.com › pdf

Best regards

You are suggested to refer the book:

Steven C. Chapra and Raymond P. Canale, “Numerical Methods for Engineers”, SEVENTH EDITION, © 2015.

In which you can learn how to implement both integration and derivative numerically.

It includes the Pseudo Code for such implementations also.

Best wishes.

I suggest you to see the following paper.

1:Tuning controller parameters and load frequency control of multi-area

2:Two Area Load Frequency Control Using GA Tuned PID Controller in Deregulated Environment

3: PSO based tuning of PID controller for a Load frequency control in two area...

Thanks a lot for helping me sir, but still i am puzzled in writing the code for objective function for ITAE. please provide the matlab code for tuning the simulink block of pid controller. I will be very thankful to you