A robust fractional-order controller design with gain and phase margin specifications based on delayed Bode's ideal transfer function


Yumuk E., Güzelkaya M., Eksin İ.

Journal of the Franklin Institute, vol.359, no.11, pp.5341-5353, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 359 Issue: 11
  • Publication Date: 2022
  • Doi Number: 10.1016/j.jfranklin.2022.05.033
  • Journal Name: Journal of the Franklin Institute
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Periodicals Index Online, Aerospace Database, Communication Abstracts, INSPEC, Metadex, MLA - Modern Language Association Database, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.5341-5353
  • Istanbul Technical University Affiliated: Yes

Abstract

© 2022 The Franklin InstituteIn this study, a robust fractional-order controller design methodology for a type of fractional-order or integer-order model with dead time is proposed using phase and gain margin specifications. The delayed Bode's ideal transfer function is used as a reference model to design the controller analytically. The delay term in delayed Bode's ideal transfer function provides the exact determination of these frequency domain specifications when the system owns a dead time. The analytical robust controller design problem is transformed to solving four nonlinear equations with four unknown variables, two of which are the desired specifications; namely, phase and gain margins. The remaining two are the phase and gain cross-over frequencies. Next, some conditions are set based on the desired specifications so that nonlinear equations provide a unique solution. The proposed method is compared with the other existing robust controller methods based on the same frequency domain specifications. The simulation results reveal that the proposed method outperforms the other methods and also gives closer outcomes to the desired specifications.