The controller thinks that its plugged in when im using batteries, and starts randomly...

I was trying to play with my controller plugged in to the wall but randomly the controller wasn't getting anymore power, so i decided to get some batteries after putting them in the controller didn't want to connect anymore so i tried plugging it in the console, it connected but then it just started vibrating and getting hot, i got the batteries out and let it cool down. After some time i try turning my controller on and it was ok for a bit, until it started vibrating after almost a minute. I tried turning off my console by holding the power button for 10 seconds and unplugging it from the power and plugging it back after a minute. Now my controller just turns on for a couple of seconds while vibrating and then just turns off. I really don't know what else to do.

:)