A comprehensive review of iterative learning control for dynamical systems: a fractional calculus perspective

Articles in Press

Document Type : Review paper

Author

Indira Gandhi Govt. College Pandaria, Distt.- Kabirdham, Hemchand Yadav Vishwavidyalaya Durg, Chhattisgarh, India - 491559.

Abstract

This review examines Iterative Learning Control (ILC) from the perspective of fractional calculus, focusing on its theoretical foundation and practical relevance in dynamical systems. The paper introduces ILC and its role in enhancing repetitive control performance, followed by a brief overview of dynamical systems and fractional calculus, including key definitions and types of fractional derivatives. Core ILC schemes—D-type, P-type, PD-type, and PDα-type—are analyzed under fractional-order dynamics. Applications in robotics, time-delay systems, process industries, and biomedical engineering highlight the robustness and accuracy of fractional-order ILC. The review concludes by emphasizing the benefits of incorporating fractional derivatives into ILC design for improved control in dynamic environments.

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References

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Journal of Hyperstructures

Articles in Press, Accepted Manuscript
Available Online from 20 June 2026

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