Watch the The Edge online guitar lesson by Jeff McErlain from Kings of Tone
The Edge is not known as an improvisor like Hendrix, his approach is about the parts. So when trying to create an Edge-like part, here is a tip. Stylistically he often outlines the sound of the chord being played by using triads. Triads are three note chords, if you don't know them, learn them. You will be amazed at how useful they are on every level. From Edge-like parts to Mike Campbell great parts with The Heartbreakers, to David Gilmour's melodic solos. When you examine what they are doing, it comes down to triads.