Guard Paul Laavag, one of three Redskins who played out their options last season and became free agents, said yesterday he has signed a one-year Redskin contract without an option.

Laaveg a starter who has been be-set by injuries the past two seasons, said he received "a fair increase" considering his physical problems. He had a knee operation last season and suffered a neck injury during the 1975 campaign. He refused to divulge his salary.

Laaveg's signing is an example of the way the new collective-bargaining agreement will aid players who are not superstars.

"I'll be a free agent again," he said. "I hope to have a good year. After a good year, you never know what will happen. If I have a good year, I'll be in great shape to do some things as a free agent."

Laaveg said he talked to a couple of other NFL teams but was "not looking to move elsewhere" since he was coming off-knee surgery. He ran some at full speed this week and reported that the knee felt good and did not swell.

Laaveg was one of five playes recently signed by the Redskins, the team announced yesterday.

The Redskins also announced signing center Ted Fritsch, cornerback Gerald Williams and wide receiver Doug Winslow.

Also signed was free-agent Bert Cooper, a middle linebacker who played last season with Tampa Bay. Cooper, who started a couple of games for Tampa Bay, was originally drafted in, the 12th round by the New York Jets in 1975.

The Redskins still have approximately 20 veterans unsigned. They include tackle Tim Stokes and middle linebacker Harold McLinton, free agents who have received no other offers, plus running back Mike Thomas and quarterback Joe Theismann, who will be entering their option years.