People who have built integrations with the AxiDraw and automatic feeders tend to regard that solution as their trade secret.
I would recommend that you try contacting companies that supply equipment to print shops, rather than just searching online. You might be able to find used versions of paper feeders that normally go for $10k+ at a fraction of that price. Not to mention people that can help you navigate terminology.
In addition to the inkjet method, another solution that we hae seen a few times is to use a low-cost robot arm like the Dobot Magician ( https://www.robotshop.com/en/dobot-robotic-arm-magician-basic-plan.html ) with its suction cup accessory.