State of charge (SOC) plays a crucial role in battery management systems, which is of paramount importance in safety of lithium-ion batteries. However, incorrect charging/discharging, electromagnetic interference, electrochemical rebound characteristics of the battery, or battery faults can lead to sudden and unexpected variations in SOC, posing hazards on systems with lithium-ion batteries. To achieve rapid and accurate tracking of such variations, this paper proposes a robust strong tracking filter based on optimal information fusion, which can address the issue of estimation accuracy degradation caused by the over-adjustment of the fading factor in traditional strong tracking filters, while maintaining strong tracking capability for SOC variations. The effectiveness of the proposed method has been demonstrated by discharge experiments and dynamic stress testing.