Abstract
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.
The first and second authors acknowledge the support by NNSF of China (11661016), Training Object of High Level and Innovative Talents of Guizhou Province ((2016)4006), and Foundation of Postgraduate of Guizhou Province (KYJJ2017001); the third author acknowledges the support by NNSF of China (11671339); the fourth author acknowledges the support by the Slovak Grant Agency VEGA No. 2/0153/16 and No. 1/0078/17, and by the Slovak Research and Development Agency under the contract No. APVV-14-0378.
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