Lady Gaga has signed a lucrative deal with fashion powerhouse Georgio Armani to create her outlandish costumes.

The Poker Face hitmaker has become as well known for her quirky style sense as her music since she shot to fame, and she has appeared in public in numerous bizarre creations, including a dress made from Muppets and a lobster hat.

She has donned a string of specially-designed Armani outfits, including the celestial dress she wore to the 2010 Grammy Awards and the bondage-style costumes in her recent Alejandro video.

Now the singer has made the partnership official by signing a deal with the fashion house to continue their work together.

Roberta Armani, the niece of fashion legend Giorgio and manager of the firm's VIP relations, tells the Wall Street Journal, "A huge company like Giorgio Armani has the duty to always be alert to trends and what appeals to young people. It helped to see how the world is through Lady Gaga, the way she uses Facebook and Twitter.

"It wouldn't be possible to give Gaga a look from the collection because she wears pieces of art. It's theatrical. Gaga is so avant-garde and he is so timeless that they meet."