The life of a LiPo battery depends on various factors such as charging methods, battery age, conditions of use, among others. Most of them are inevitable and challenging to prevent. However, the charging method can prolong the life span of the batteries, by guaranteeing that all the battery cells are charged to their full capacity. To achieve this objective a balanced load must be performed, such that the current supplied during the charging process follows a specific profile. In this work, a current supply control scheme is proposed for the LiPo battery charging stage, using a Boost type power converter. To ensure a specific current profile, the converter's current must follows a desired trajectory associated with cell balancing. The converter's control is done with a Saturated Super-Twisting Algorithm in its switched version and a Sigma-Delta Modulator. The proposed scheme guarantees the tracking of current in finite-time despite the presence of Lipschitz disturbances. Finally, the proposed strategy is validated by numerical simulation.