Home automation centre, called principal centre, suitable for: - receiving signals, called home automation signals, from at least one home automation sensor, - processing said home automation signals and producing digital data representative of a message, called home automation message, in accordance with said home automation signals, - being able to send said home automation message to a receiving device by a first data communication link, called principal link, comprising a communication link of the Internet, said principal centre belonging to a first local network, called principal local network, of different electronic devices that are remote from the receiving device, this principal local network having its own password access to the Internet, characterised in that it is suitable for: - encrypting the body of the message with a key possessed by the receiving device, - being able to detect a break in said principal link, - being able to establish a data communication link, called translocal link (36, 55): • different from the principal link, • with a second home automation centre, called neighbouring centre (38, 43), not possessing the key wherewith the body of the message is encrypted, the neighbouring centre (38, 43) being suitable for sending said home automation message to said receiving device, without reading or extracting the encrypted content of said home automation message, by a second data communication link, called neighbouring link (37, 46) comprising an Internet communication link, different from the principal link and from the translocal link (36, 55), said neighbouring centre (38, 43), belonging to a second local network, called neighbouring local network (40, 45), of different electronic devices that are remote from the receiving device, said neighbouring local network having its own password access to the Internet, - upon detection of a break in said principal link, being able to resend said home automation message to said neighbouring centre (38, 43), by said translocal link (36, 55). - receiving signals, called home automation signals, from at least one home automation sensor, - processing said home automation signals and producing digital data representative of a message, called home automation message, in accordance with said home automation signals, - being able to send said home automation message to a receiving device by a first data communication link, called principal link, comprising a communication link of the Internet, said principal centre belonging to a first local network, called principal local network, of different electronic devices that are remote from the receiving device, this principal local network having its own password access to the Internet, - encrypting the body of the message with a key possessed by the receiving device, - being able to detect a break in said principal link, - being able to establish a data communication link, called translocal link (36, 55): • different from the principal link, • with a second home automation centre, called neighbouring centre (38, 43), not possessing the key wherewith the body of the message is encrypted, the neighbouring centre (38, 43) being suitable for sending said home automation message to said receiving device, without reading or extracting the encrypted content of said home automation message, by a second data communication link, called neighbouring link (37, 46) comprising an Internet communication link, different from the principal link and from the translocal link (36, 55), said neighbouring centre (38, 43), belonging to a second local network, called neighbouring local network (40, 45), of different electronic devices that are remote from the receiving device, said neighbouring local network having its own password access to the Internet, - upon detection of a break in said principal link, being able to resend said home automation message to said neighbouring centre (38, 43), by said translocal link (36, 55). • different from the principal link, • with a second home automation centre, called neighbouring centre (38, 43), not possessing the key wherewith the body of the message is encrypted, the neighbouring centre (38, 43) being suitable for sending said home automation message to said receiving device, without reading or extracting the encrypted content of said home automation message, by a second data communication link, called neighbouring link (37, 46) comprising an Internet communication link, different from the principal link and from the translocal link (36, 55), said neighbouring centre (38, 43), belonging to a second local network, called neighbouring local network (40, 45), of different electronic devices that are remote from the receiving device, said neighbouring local network having its own password access to the Internet, - upon detection of a break in said principal link, being able to resend said home automation message to said neighbouring centre (38, 43), by said translocal link (36, 55).