I think with this kind of cycle time, and probably also accuracy you are way out of the industrial robots scope.
What kind of weight would robot carry?
Even with small 6 axis robot i would count around 3-4s to do anything useful (like pick and place).
With scara/delta you can go probably to 0,5-2s.
Also probably you should take into account system+fieldbus communication delay.
I agree with Patrik.
You will probably want hardware built specifically for this purpose or at least a dedicated servo system.
hacking 3D printers is a wrong way to do this. they are not as accurate and they are way too slow. if you want that kind of speed and precision, you need specialty products. and this has been discussed and covered in quite a detail in one of your previous topics.
In my opinion, only a custom built machine to do that task and only that task will achieve the times that you are wanting. And maybe then, not quite as fast as you like.
The only thing I can think of offhand that might meet that speed/accuracy requirement would be certain chip-fab wafer-handling robots. But those are usually specialty equipment.
Among "standard" robots, I think the only ones that might have even a chance would be one of the Delta robots from Fanuc, Festo, KUKA, etc.
as it was stated already this is an industrial robot forum and industrial robots cannot do what you are asking for... the closest industrial contenders would be products based on delta and scara configuration because of relatively lightweight and low inertia designs.
other type of industry (like yours) that focuses on PCB manufacturing have very different requirements and therefore machines for this type of work are built on other types of technology. but the volume is of course smaller and prices are much higher so i can understand attempts to get away with something more common and lower cost. but there is no magic or way around laws of physics. if you want high speed you have to deal with inertia. there is no way around it.
one can try making own robotic device using commercially available actuators and controllers but the focus need to be on things that matter. when it comes to fast and precise actuators it is hard to beat VCAs (voice coil actuators) and direct drive actuators easily achieving 5 or 10m/s.
example of products for custom designs:
High-precision and compact motion components for automation
