Design of an Anti-Disturbance Luenberger Fault Estimator for the State of Charge Estimation of Lithium-Ion Batteries Based on Lipschitz Concept

Qun Yu; Jing  Xie

doi:10.6180/jase.202605_29(5).0025

Design of an Anti-Disturbance Luenberger Fault Estimator for the State of Charge Estimation of Lithium-Ion Batteries Based on Lipschitz Concept

Electrical Engineering

QunYuThis email address is being protected from spambots. You need JavaScript enabled to view it. and Jing Xie

The Open University of Sichuan, Sichuan Huaxin Modern Vocational College, Chengdu 610073, Sichuan, China

Received: March 15, 2025
Accepted: August 31, 2025
Publication Date: October 18, 2025

Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.

Download Citation: ||https://doi.org/10.6180/jase.202605_29(5).0025

Battery management systems rely on an accurate estimate of the state of charge of lithiumion battery for safe and reliable operations. In this paper, we present a Luenberger observer suitable for nonlinear battery dynamics that are subject to practical conditions- Lipschitz continuity, input faults, and disturbances. Our observer differs from the existing body of literature by considering the aforementioned conditions explicitly, which allows for robust fault estimation and disturbance rejection. In our example, we show how our approach can reduce the state of charge estimation error by up to X% and reduce the convergence time by Y% when compared to other variants of the extended Kalman filter. Reliability and responsiveness are critical for battery management systems and the results presented in this paper represent an improvement to the quality of estimation, which has far reaching implications for safer and more efficient energy storage solutions in electric vehicles or grid applications.

Keywords: State of charge, Lithium-ion battery, Luenberger, Lipschitz, convergence time.

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