Regular Papers

International Journal of Control, Automation and Systems 2022; 20(10): 3167-3176

Published online September 30, 2022

https://doi.org/10.1007/s12555-021-0536-8

© The International Journal of Control, Automation, and Systems

Fractional-order Iterative Learning Control with Nonuniform Trial Lengths

Yang Zhao*, Yan Li, and Haiying Liu

Qilu University of Technology

Abstract

This article addresses a fractional-order iterative learning control (FOILC) design problem for linear time-varying systems with nonuniform trial lengths. A closed-loop FOILC updating law is introduced for tracking tasks with nonuniform trial lengths. To mitigate the influence of nonuniform trail lengths, redefined tracking errors along with current iteration information are adopted to construct control signal. Strict convergence analysis of the tracking error in iteration domain is given. Finally, the efficiency and performance of the proposed approach are verified by three illustrative examples.

Keywords Fractional-order control, iterative learning control systems, linear control, nonuniform trial length.

Article

Regular Papers

International Journal of Control, Automation and Systems 2022; 20(10): 3167-3176

Published online October 1, 2022 https://doi.org/10.1007/s12555-021-0536-8

Copyright © The International Journal of Control, Automation, and Systems.

Fractional-order Iterative Learning Control with Nonuniform Trial Lengths

Yang Zhao*, Yan Li, and Haiying Liu

Qilu University of Technology

Abstract

This article addresses a fractional-order iterative learning control (FOILC) design problem for linear time-varying systems with nonuniform trial lengths. A closed-loop FOILC updating law is introduced for tracking tasks with nonuniform trial lengths. To mitigate the influence of nonuniform trail lengths, redefined tracking errors along with current iteration information are adopted to construct control signal. Strict convergence analysis of the tracking error in iteration domain is given. Finally, the efficiency and performance of the proposed approach are verified by three illustrative examples.

Keywords: Fractional-order control, iterative learning control systems, linear control, nonuniform trial length.

IJCAS
June 2024

Vol. 22, No. 6, pp. 1761~2054

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