Liu, Shengda; Wang, Jinrong; Zhou, Yong; Fečkan, Michal Iterative learning control with pulse compensation for fractional differential systems. (English) Zbl 1441.93116 Math. Slovaca 68, No. 3, 563-574 (2018). Summary: In this paper, we explore PD-type ILC schemes of fractional version with pulse compensation for single-input-single-output fractional differential systems. More precisely, we design a new type of pulse-based ILC schemes involving fractional derivative and sign function for a class of fractional order linear systems with initial state shift. In order to tracking discrepancy incurred by the initial state shift effectively, a new function of pulse compensation is introduced. The effectiveness of the result is illustrated by numerical simulations. Cited in 12 Documents MSC: 93C15 Control/observation systems governed by ordinary differential equations 26A33 Fractional derivatives and integrals 34A08 Fractional ordinary differential equations 93B47 Iterative learning control Keywords:\(P\&D^\alpha\)-type iterative learning control; pulse compensation; fractional differential systems; sign function PDFBibTeX XMLCite \textit{S. Liu} et al., Math. Slovaca 68, No. 3, 563--574 (2018; Zbl 1441.93116) Full Text: DOI References: This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.