Each Star Wars trilogy focused on a generation of the Skywalker family, and the new trilogy beginning with Star Wars: The Force Awakens will continue that. That's according to Kathleen Kennedy, head of Lucasfilm and exectuvie producer on the new films.
“The Saga films focus on the Skywalker family saga,” Kennedy told Costco Connection. “The stories follow a linear narrative that connects to the previous six film. The Force Awakens follows Return Of The Jedi and continues that generational story. The Anthology films offer opportunities to explore fresh characters, new storylines and a variety of genres inside the Star Wars Universe.”
While on its own this doesn't confirm that a new Skywalker character will be introduced in the new films, the specific usage of "Skywalker family saga" and it being a "generational story" would seem to set the table for such action.
There's been broad speculation that a descendant of the Skywalker clan will play a central role in Star Wars: The Force Awakens. Newsarama has our own theory as to the lineage and legacy of some of the film's characters.
Meanwhile, in other Star Wars: The Force Awakens news, actor Tim Rose has confirmed to The Australian that he will return to the role of Admiral Ackbar in The Force Awakens. While Rose admitted he was frustrated by the film's secrecy, saying "Out of the need to be secret, we're not actually able to get everything we need to do our jobs as well as we could."
Rose, however, remains optimistic about the film's finished product.
"What I can say about the new movie is that if you were a fan of the original three, you're going to absolutely love this one to bits."
Star Wars: The Force Awakens hits theaters December 18, 2015.