Robidas was acquired from the Dallas Stars for a conditional fourth-round pick that could become a third-rounder if he plays in 50 percent of the team's playoff games and the Ducks reach the Western Conference finals.
The 37-year-old Robidas has played in 24 games for Dallas this season, posting five points (4-1-5). He has not appeared in a game since breaking his leg on Nov. 29 against Chicago. Robidas ranks seventh in team history with 704 games played spanning two stints with the club (2002-04, 2005-14).
"Stephane is the consummate professional," Stars general manager Jim Nill said. "He has set a great example for our young core, not only when he was playing, but in his recovery as well. We want to wish Stephane and his family the best and thank him for all that he's done in his time here."
The Ducks (43-14-5) sent Fasth to the Edmonton Oilers for a fifth-round pick in 2014 and a third-round pick in '15. The 31-year-old Fasth took the league by storm last season, when he went 15-6 with a 2.18 goals-against average. He has been limited to five games this season because of a lower-body injury, going 2-2-1 with a 2.95 GAA.
Anaheim sent Penner to the Capitals for a fourth-round pick. The eight-year veteran has 13 goals and 19 assists this season. He ranked fifth on the team in goals, sixth in points and assists and tied for fifth in plus-minus at plus-22.
Information from ESPN.com's Pierre LeBrun and the Associated Press was used in this report.