Nonlinear fractional-order model based battery state estimation with guaranteed robustness and stability
Journal article, 2018

This paper proposes a new estimator design algorithm for state-of-charge (SoC) indication of lithium-ion batteries. A fractional-order model-based nonlinear estimator is first framed including a Luenberger term and a sliding mode term. The estimator gains are designed by Lyapunov’s direct method, providing a guarantee for stability and robustness of the error system under certain assumptions. This generic estimation algorithm is then applied to lithium-ion batteries. A fractional-order circuit model is adopted to predict battery dynamic behaviours. Assumptions based on which the estimation algorithm is developed are justified and remarked. Experiments corresponding to electric vehicle applications are conducted to parameterise the battery model and demonstrate the estimation performance. It shows that the proposed approach is able to estimate SoC with the errors less than 0.03 in the presence of initial deviation and persistent noise. Furthermore, the benefits of using the proposed estimator relative to other estimators are calculated over different cycles and conditions.

Fractional-order battery model

lithium-ion battery

state-of-charge (SoC) estimation

nonlinear fractional-order estimator

robustness and stability


Changfu Zou

Chalmers, Electrical Engineering, Systems and control, Automatic Control

Xiaosong Hu

Unknown organization

Satadru Dey

Unknown organization

Lei Zhang

Unknown organization

Xiaolin Tang

Unknown organization

IEEE Transactions on Industrial Electronics

0278-0046 (ISSN)

Vol. 65 5951-5961

Subject Categories

Energy Engineering

Control Engineering