Take That songwriter and X Factor judge Barlow and former X Factor winner Burke will be joined by The Voice coach Jessie J to perform at the 30th anniversary event, PA reports.
Chairman of the awards organising committee John Myers said: "Radio has always played a pivotal role in developing music careers and we are delighted to have three of the brightest shining talents in the UK perform live and help us celebrate the 30th anniversary of the awards."
Nominees for this year's show include Fearne Cotton, Steve Lamacq and Michael Bublé, while Radio 1's Chris Moyles missed out on a nod for the first time in seven years.
The 2012 ceremony is hosted by Chris Evans and takes place on Monday, May 14 at Grosvenor House in London.
Last year's winners included Talksport for 'UK Station of the Year' and 5 Live Breakfast for 'Breakfast Show of the Year (10 million +).
> Sony Radio Academy Awards nominations revealed, Moyles snubbed
Watch the Jessie J 'Do It Like A Dude' music video below: