Paula Abdul, a Grammy-winning singer and former judge on "American Idol," has filed a lawsuit against former "American Idol" and "So You Think You Can Dance" executive producer Nigel Lythgoe, accusing him of sexual assault and harassment. The suit alleges that Lythgoe assaulted Abdul in the early 2000s and around 2015, and seeks unspecified damages and a jury trial. Lythgoe has not yet commented on the allegations.