Optimal fractional-order controller design using direct synthesis method

Erhan Yumuk, Müjde Güzelkaya*, İbrahim Eksin

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14 Atıf (Scopus)

Özet

In this study, an optimal fractional-order controller is proposed for a type of fractional-order model utilising the direct synthesis method. In that respect, the fractional counterpart of the second-order integer transfer function is selected as a closed-loop reference transfer function. The stability region of the fractional-order closed-loop reference transfer function is given via a theorem and related lemmas. Considering that a unity feedback loop is used, the parameters of the fractional-order closed-loop reference transfer function are specified based on the integral square error performance index within the specified stability region using a genetic algorithm. The time-domain characteristics of the optimal fractional-order closed-loop reference transfer function are compared with those of the optimal second-order integer closed-loop reference transfer function. The fractional- and integer-order controllers that are designed based on optimal closed-loop reference transfer functions are implemented on a real-time system. The performance of the fractional-order controller outperforms that of the integer counterpart on the integral square error criterion. Moreover, the simulation and practical results are consistent with each other.

Orijinal dilİngilizce
Sayfa (başlangıç-bitiş)2960-2967
Sayfa sayısı8
DergiIET Control Theory and Applications
Hacim14
Basın numarası18
DOI'lar
Yayın durumuYayınlandı - 17 Ara 2020

Bibliyografik not

Publisher Copyright:
© The Institution of Engineering and Technology 2020

Finansman

This study was supported by the Istanbul Technical University Research Support Program (ITU-BAP) (Project Code: MDK-2018-41344).

FinansörlerFinansör numarası
ITU-BAPMDK-2018-41344
Istanbul Teknik Üniversitesi

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