Optimisation-based Energy Management Strategies for hybrid and electric vehicles have to face some issues for realtime applications. In this study, an online adaptive optimisationbased strategy is used for an electric vehicle with a Hybrid Energy Storage System including supercapacitors and batteries. The SCs voltage limitations are taken into account by using a feedback control. Indeed the voltage limitation is a key point for safe operations in the vehicle. A comparison with a more classical optimisation-based method is performed by simulations on a normalised driving cycle. The results point out a more effective behaviour of the adaptive strategy.