A Control Oriented Fractional-Order Model of Lithium-ion Batteries Based on Caputo Definition
Abstract
This letter proposes a fractional-order battery model based on the Caputo definition. A closed-form time-domain solution is derived, enabling a simple recursive expression for discrete-time implementation. The model requires only the current and previous time-step states in each iteration, significantly reducing memory usage compared to the conventional Gr\"{u}nwald--Letnikov (G-L) method. This recursive structure is highly compatible with filter design and online parameter identification. Experimental validation on a 40.2~Ah NCM622 cell shows that the proposed first-order model achieves voltage prediction accuracy comparable to a second-order integer-order model. The results demonstrate that the Caputo-based model offers a practical balance between accuracy and computational efficiency, making it well suited for real-time battery management systems (BMS).
Keywords
Cite
@article{arxiv.2505.12725,
title = {A Control Oriented Fractional-Order Model of Lithium-ion Batteries Based on Caputo Definition},
author = {Yangyang Xu and Hongyu Zhao and Chengzhong Zhang and Chenglin Liao},
journal= {arXiv preprint arXiv:2505.12725},
year = {2025}
}