With the growth of Electric and Hybrid Vehicles deployment, there is an increasing interest in the development of applications for the second life of their on-board li-ion batteries. However, modeling the ageing of these devices poses new problems, as the uncertainty around their parameters - such as the internal resistance. In this work, we propose to study the impact this ageing has on the operation of a circuit composed of a battery, filters, a DC/DC converter and a charge. For this purpose, an equivalent-circuit non-linear battery model is parameterized with experimental ageing data, so that the behaviour of a Second Life Battery Energy Storage System (SLBESS) can be accurately simulated. A robust H∞ controller is then developed, and we study its performance throughout the entire second life of our battery pack. The obtained results indicate that the controller performances are guaranteed for several operating conditions of the battery, showing that a robust control can successfully compensate the ageing impact.