In this paper, the recursive state-of-charge (SOC) estimation problem is investigated for the Li-ion batteries. The uncertain parameters, which are used to account for the effects of the changing temperatures, the battery power and the drift current of current sensors, are considered in the modelling process of the Li-ion batteries. Moreover, the uncorrelated/correlated noises are also considered based on the engineering practice. The aim of the paper is to design a SOC estimation scheme such that an upper bound on the estimation error covariance is guaranteed, and such an upper bound is then minimised by appropriately designing the estimator gain. Finally, simulation experiments are carried out to demonstrate the effectiveness of our proposed SOC estimation scheme.

本文研究了锂离子电池的递归充电状态（SOC）估计问题。在锂离子电池的建模过程中考虑了不确定性参数，这些参数用于说明温度变化，电池功率和电流传感器的漂移电流的影响。此外，还基于工程实践来考虑不相关/相关的噪声。本文的目的是设计一种SOC估计方案，以确保估计误差协方差的上限，然后通过适当设计估计器增益来最小化此上限。最后，通过仿真实验证明了我们提出的SOC估计方案的有效性。