12/10/2007 at 01:00 PM EST
While Amy Winehouse
's mother this weekend begged her daughter to come home
and seek their help, a rep for Winehouse says the singer is looking ahead – and is "determined" to make it to the Grammys.
"Amy is thrilled to be nominated for 6 Grammys
and is very much hoping to attend," her rep tells PEOPLE. "She is determined to be ready and well for that performance."
The 24-year-old singer – whose husband Blake Fielder-Civil is in jail
– last month canceled her appearances
for the rest of the year. She's currently in a program being supervised by doctors – and, her rep said, writing a lot. "It's a really difficult time and she's been channeling it into her music."
For more on Winehouse's struggles and her rise to fame, pick up the latest PEOPLE, on newsstands now