A control system is provided and includes energy accumulators (20; 120) coupled to a first inverter (10) and controlled through a second inverter (12). These accumulators (20; 120) are adapted to store the energy generated by an electrical machine (3) associated with the elevator apparatus (1), and the energy coming by a source and optionally not used by the machine (3), as well as to deliver the stored energy towards the machine (3) when this requires energy with a power higher than a threshold. The system is arranged to automatically cause the lifting of the car (2) up to the highest floor when preset conditions occur in a time interval of inactivity of the elevator apparatus (1).