An improved fast error convergence topology for PDα-type fractional-order ILC. Issue 7 (3rd October 2021)

• Record Type: Journal Article
• Authors: Riaz, Saleem; Lin, Hui; Mahsud, Minhas; Afzal, Deeba; Alsinai, Ammar; Cancan, Murat
• Is Part Of: Journal of interdisciplinary mathematics. Volume 24:Issue 7(2021)
• Page Start: 2005
• Page End: 2019
• Publication Date: 2021-10-03
• Subjects: Primary 58E25 -- Secondary 93C10; Iterative learning control (ILC) -- Fractional-order ILC -- Lebesgue-p (Lp) norm -- Error convergence; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.1080/09720502.2021.1984567
• Languages: English
• ISSNs: 0972-0502

Abstract

Abstract: The monotonic convergence of the PD α -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 1 st and 2 nd order PD α -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.