The Americans lost for the sixth time in seven against Europe at Gleneagles last month, but the man who led them to their only victory this century, Paul Azinger, has rejected the opportunity to be on the 11-man commission.
Former captains Raymond Floyd, Tom Lehman and Davis Love as well as current players Rickie Fowler, Jim Furyk and Steve Stricker, and PGA secretary Paul Levy, have all been invited to voice their opinions.
"I think this is a great step by the PGA to accomplish what we all want - to win the Ryder Cup," 14-time Major champion Woods, who missed the defeat in Scotland because of injury, told reporters.
"The Ryder Cup is very important to every player who has the honour to represent his country. I'm excited to be part of this group."
PGA of America president Ted Bishop added: "The Ryder Cup is our most prized competitive asset and the PGA of America is committed to utilising our utmost energy and resources to support one of the biggest events in all of sport.
"The Ryder Cup Task Force, co-chaired by [PGA vice-president] Derek Sprague and [PGA chief executive officer] Pete Bevacqua, is an exciting and comprehensive initiative that will guide the PGA in developing the right strategy and building ongoing processes and infrastructure for future generations of US teams."
Sprague and Bevacqua complete the task force, which will look at matters such as selection of Ryder Cup captains and vice-captains, the qualifying system, the dates by which the team is determined and wildcard selections.