A home system for managing an internet network (9) access connection in which at least one computer (80) can access the internet by way of a main home connection (8). The system contains software means (83) capable of detecting a failure to connect to the internet network (9) on the main home connection (8) and of controlling an automatic failover to a back-up connection comprising a control box (5) of a system for the real-time measurement and modulation of the power consumption of a plurality of electrical appliances (2). The control box (5) is capable of accessing the internet network (9) by way of a wireless connection (6) of packet telephony type.