Adjusting the Coefficients of the PI^α D^β Controllers Using Iterative Feedback Tuning (IFT) Algorithm
نویسندگان
1 Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
2 Department of Mathematics, Payame, Noor University (PNU), P.O. BOX 19395-4697. Tehran, Iran
3 Department of Mathematics, Payame Noor University (PNU), P.O. BOX 19395-4697, Tehran, Iran
doi
10.30473/coam.2021.56679.1156چکیده
Iterative feedback tuning (IFT) is an algorithm for adjusting the coefficients of the integer-order type proportional-integral-derivative (PID) controllers without needing a system model. The IFT algorithm is performed iteratively with the aim of optimizing the control coefficients at each stage via an objective function. In this research, for the first time, the IFT algorithm is used to adjust all the coefficients of the fractional order PID controllers, i.e., PI^α D^β controllers to have optimal performance. For this purpose, fractional order calculations and the integer-order version of the IFT algorithm are firstly presented, and the novel IFT algorithm is then used to adjust coefficients of the PI^α D^β controller. Finally, the performance of the proposed method is illustrated and verified through some examples.
