Pretty straightforward. It's best if you pick a song that you're familiar with, and save a power up until the end of that song. With about 30 second left, strum like mad and miss every note (you'll go down faster if you strum quickly during this time). Then, in the final 10 seconds, use your power up and finish the song without missing any notes. Just make sure the song you select has enough notes at the end to completely recover. That will drive your meter right back up to the top and the achievement should unlock.
My personal suggestion for the song to use is When We Were Young by the killers. During the final phase of the signature lick (if you know the song, you'll know which part I mean), start missing the notes. There is a phrase at the end of the song, which is the same one used at the end of each chorus, that is about 8 second long. With your power up active and hitting all those notes, you should have plenty to win the crowd back.