yeas there are some standarts cartesian robots, but most of then are 3 axis and used in like injection moulding machines or cnc. take look at google like Wemo, whitman, sepro.
also if its only need 2 axis of it you may be concern of making one for yourself. For example https://unimotion.eu/
And as controller use simple PLC with some parameters.
if you need some more information don't hesitate to contact me.
by the way on stock I have 3 axis linear system of about 1300x2300x350mm