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Open AccessArticle
Reference Modulation-Based H∞ Control for the Hybrid Energy Storage System in DC Microgrids
by
Khac Huan Su
Khac Huan Su 1,†,
Young Seop Son
Young Seop Son 2,†
and
Youngwoo Lee
Youngwoo Lee 3,*
1
School of Engineering, Eastern International University, Thu Dau Mot 820000, Vietnam
2
Graduate School of Data Science, Kyungpook National University, Daegu 41566, Republic of Korea
3
School of Electrical Engineering, Hanyang University, Ansan 15588, Republic of Korea
*
Author to whom correspondence should be addressed.
†
These authors contributed equally to this work.
Mathematics 2025, 13(13), 2202; https://doi.org/10.3390/math13132202 (registering DOI)
Submission received: 10 June 2025
/
Revised: 2 July 2025
/
Accepted: 4 July 2025
/
Published: 5 July 2025
Abstract
In DC microgrids, optimizing the hybrid energy storage system (HESS) current control to meet the power requirements of the load is generally a difficult and challenging task. This is because the HESS always operates under various load conditions, which are influenced by measurement disturbances and parameter uncertainties. Therefore, in this paper, we propose the H∞ state feedback control based on the reference modulation to improve the current tracking errors of the battery (Bat) and supercapacitor (SC) in the HESS for power tracking performance. Without altering the system control signal, the reference modulation technique combines the feedforward channel and output feedback signal directly to modulate the required currents of the Bat and SC derived from the required load power. The H∞ state feedback control based on the required Bat and SC currents modulated by the reference modulation technique is proposed to improve the current tracking errors under the influence of measurement disturbances and parameter uncertainties without a disturbance observer. The ability of the reference modulation technique to attenuate the disturbance without the use of a disturbance observer is one advantage for improving transient performance. The improvement of the HESS’s power tracking performance in DC microgrids is confirmed by study results presented under the influence of measurement disturbances for nominal parameters and parameter uncertainties.
Share and Cite
MDPI and ACS Style
Su, K.H.; Son, Y.S.; Lee, Y.
Reference Modulation-Based H∞ Control for the Hybrid Energy Storage System in DC Microgrids. Mathematics 2025, 13, 2202.
https://doi.org/10.3390/math13132202
AMA Style
Su KH, Son YS, Lee Y.
Reference Modulation-Based H∞ Control for the Hybrid Energy Storage System in DC Microgrids. Mathematics. 2025; 13(13):2202.
https://doi.org/10.3390/math13132202
Chicago/Turabian Style
Su, Khac Huan, Young Seop Son, and Youngwoo Lee.
2025. "Reference Modulation-Based H∞ Control for the Hybrid Energy Storage System in DC Microgrids" Mathematics 13, no. 13: 2202.
https://doi.org/10.3390/math13132202
APA Style
Su, K. H., Son, Y. S., & Lee, Y.
(2025). Reference Modulation-Based H∞ Control for the Hybrid Energy Storage System in DC Microgrids. Mathematics, 13(13), 2202.
https://doi.org/10.3390/math13132202
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