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Volume 15
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10.3390/electronics15102229
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Iterative Learning Control for Linear Systems Subject to Random Disturbance: An Impulsive Approach

by
Zijian Luo
* and
Hongyu Yang
Faculty of Science, Civil Aviation Flight University of China, Chengdu 641419, China
*
Author to whom correspondence should be addressed.
Electronics 2026, 15(10), 2229; https://doi.org/10.3390/electronics15102229
Submission received: 8 April 2026 / Revised: 6 May 2026 / Accepted: 19 May 2026 / Published: 21 May 2026
(This article belongs to the Section Systems & Control Engineering)
Versions Notes

Abstract

This paper investigates the tracking control problem of linear systems with random disturbances. Distinguishing itself from previous studies, this work models instantaneous external disturbances as impulse effects and employs a Bernoulli random variable to characterize their stochastic occurrence. After this, a random impulsive differential system is established and used for theoretical analysis. Based on this model, two iterative learning control strategies are applied to achieve the robust tracking. The theoretical results demonstrate that the proposed algorithms are successful in reducing the impact caused by random disturbances, enabling the system to perform robust tracking. Finally, a numerical simulation is provided to verify the effectiveness of the proposed approach.
Keywords: external disturbance; iterative learning control; impulsive approach; convergence analysis external disturbance; iterative learning control; impulsive approach; convergence analysis

Share and Cite

MDPI and ACS Style

Luo, Z.; Yang, H. Iterative Learning Control for Linear Systems Subject to Random Disturbance: An Impulsive Approach. Electronics 2026, 15, 2229. https://doi.org/10.3390/electronics15102229

AMA Style

Luo Z, Yang H. Iterative Learning Control for Linear Systems Subject to Random Disturbance: An Impulsive Approach. Electronics. 2026; 15(10):2229. https://doi.org/10.3390/electronics15102229

Chicago/Turabian Style

Luo, Zijian, and Hongyu Yang. 2026. "Iterative Learning Control for Linear Systems Subject to Random Disturbance: An Impulsive Approach" Electronics 15, no. 10: 2229. https://doi.org/10.3390/electronics15102229

APA Style

Luo, Z., & Yang, H. (2026). Iterative Learning Control for Linear Systems Subject to Random Disturbance: An Impulsive Approach. Electronics, 15(10), 2229. https://doi.org/10.3390/electronics15102229

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