The DualSense Edge is Sony's answer to the Xbox Elite controller

Aside from the Back Button Attachment for the DualShock 4, Sony has left "pro controllers" for the PlayStation platform up to third parties – until today's announcement of the DualSense Edge, the PS5 equivalent to Microsoft's official Xbox Elite controller.

Pricing and release date are still to be confirmed, however the PlayStation Blog announcement teases more details in "the months ahead", so I'd suggest you don't hold your breath.