An improved fast error convergence topology for PD alpha-type fractional-order ILC

Riaz S., Lin H., Mahsud M., Afzal D., Alsinai A., Cancan M.

JOURNAL OF INTERDISCIPLINARY MATHEMATICS, vol.24, no.7, pp.2005-2019, 2021 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 7
  • Publication Date: 2021
  • Doi Number: 10.1080/09720502.2021.1984567
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.2005-2019
  • Keywords: Iterative learning control (ILC), Fractional-order ILC, Lebesgue-p (L-p) norm, Error convergence, ITERATIVE LEARNING CONTROL, REPETITIVE CONTROL
  • Van Yüzüncü Yıl University Affiliated: Yes


The monotonic convergence of the PD alpha-type fractional-order iterative learning control algorithm is considered for a class of fractional-order linear systems. First, a theoretical analysis of the monotonic convergence of 1st and 2nd order PD alpha-type control algorithms is carried out in the typical terms of Lebesgue-p (L-p), and the sufficient conditions for their monotonic convergence are comprehended and extended to the case of N-order control algorithms; then the speed of convergence of the two is explained in detail. It is concluded that the conditions for convergence of the control algorithm are determined by the learning gain and the system's properties are together determined. Simulation experiment verifies the accuracy of proposed scheme and the validity of the control algorithm.