Mine did this every few minutes from the couch and it drove me nuts. The culprit was my router sitting right behind the TV with a portable drive hanging off a USB 3 port. I slid the router to the other side of the cabinet and unplugged the drive during play and the disconnects stopped.
I also ran the controller update and power cycled the pad by holding the sync button down until it shut off, then re paired it. Wired mode is there as a backup when guests come over and it has never failed.