Adjusting the Coefficients of the PI^α D^β Controllers Using Iterative Feedback Tuning (IFT) Algorithm

Vali, Mohammad Ali; Mashayekhi Esfichar, Mahdi; Farahmand Rad, Shahriar

doi:10.30473/coam.2021.56679.1156

Document Type : Research Article

Authors

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

https://doi.org/10.30473/coam.2021.56679.1156

Abstract

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.

Keywords

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Adjusting the Coefficients of the PI^α D^β Controllers Using Iterative Feedback Tuning (IFT) Algorithm

References

References

Volume 5, Issue 2 Open Access PolicySummer-Autumn 2020July 2020Pages 39-64

Volume 5, Issue 2
Open Access Policy
Summer-Autumn 2020
July 2020
Pages 39-64