How is the radio powered? The radio needs a constant 12v supply and a drivetrain will drop the battery voltage below 12v on startup. The radio should be powered through a VRM or RPM.
Posting the driver station log files will help others help you to isolate the problem.
Whenever I see a lost connection around one minute is it almost always a radio reboot. You said you aren’t using a VRM, your radio should be powered from one since it will provide regulated 12v to the radio.
11.4 volts does also seem low at idle for a robot. You may need to retire that battery.