Arcade Sticks & Adaptors

I’m trying to make my PS2 sticks avaible for Saturn & Dreamcast. Already seen some prospects for PS2 to Sat and DC, and had a couple of questions. Does anyone know of an adaptor that can do PS/2 to DC and Sat combined, or any more PS to Sat or PS to DC? Also, for the adaptors out there, do PS2 sticks ususally work with the adaptors well?

The one by Innovation does both.

Can you be a little more specific? Which Innovation product? And do you mean this product will work from PS/2 to both Sat and DC?