Your broadband should stay on continuously, unless you tell it otherwise. So, if it keeps disconnecting for no reason, there may be a problem with your broadband supply, or your phone line.
The first step you should take to resolve this would be a reboot of the router to clear any cache the router has stored. Which can lead to slower speeds. To note, Do not press the RESET button as this will wipe the router settings and leave the router with no service.
If the connection continues to disconnect, Please check all cabling is secure then call the team to discuss further as an Openreach engineer may even be required.
Contact us at support@ice-comms.co.uk or 0333 202 5000 option 1 for Customer Services then option 2 for Landline and Broadband and a member of the team will be happy to assist.