I have a 60 GB PS3 that can play Playstation 2 games. Are there any fighting sticks for the Playstation 3 that will work with PS2 fighting games? If so, are there any that absolutely will not work?

Edit:

Shoryuken forums advise the following for mid-range PS3 sticks: "PS3 owners, get either the HRAP3: SA or the Mad Catz TE. If backwards compatibility is important to you, get a HRAP:SA."

Does that mean the Mad Catz TE doesn't support backwards compatibility?