By Eric Renner Brown
Updated October 30, 2015 at 01:07 PM EDT

U2 has used Patti Smith’s 1988 classic “People Have the Power” as their entrance music for much of their current Innocence + Experience Tour. For their concert at London’s O2 Arena Thursday night — the third in a six-night stand at the venue — the band upped the ante, inviting Smith out to perform the song with them as their encore closer.

Smith and U2 prefaced their performance of “People Have the Power” with a brief rendition of Van Morrison’s “Gloria,” which both artists have a connection to. U2’s second album, 1981’s October, kicks off with a song titled “Gloria” that references Morrison’s iconic tune. And Smith’s 1975 debut Horses famously begins with her cover of the Van Morrison cut.

U2’s current tour wraps with four November shows in Ireland, but new music is on the way soon. “We’re well into it,” Bono told EW earlier this month of the band’s forthcoming album Songs of Experience. “Edge just came up with a cracker the other day! It’s provisionally titled ‘Tightrope.’”

Watch audience footage of U2’s performance with Smith below.