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Iterative learning control with pulse compensation for fractional differential systems

In: Mathematica Slovaca, vol. 68, no. 3
Shengda Liu - Jinrong Wang - Yong Zhou - Michal Fečkan

Details:

Year, pages: 2018, 563 - 574
Keywords:
$P\&D^\alpha$-type iterative learning control, pulse compensation, fractional differential systems, sign function
About article:
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.
How to cite:
ISO 690:
Liu, S., Wang, J., Zhou, Y., Fečkan, M. 2018. Iterative learning control with pulse compensation for fractional differential systems. In Mathematica Slovaca, vol. 68, no.3, pp. 563-574. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0125

APA:
Liu, S., Wang, J., Zhou, Y., Fečkan, M. (2018). Iterative learning control with pulse compensation for fractional differential systems. Mathematica Slovaca, 68(3), 563-574. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0125
About edition: