I don't think you are going to be able to use an auto-tune. You will probably have to 'hand-tune' this one, or just use a very basic feed-forward method. ie: Have a preset for each product type that gets loaded when the run starts, and then: if PV=50HP, increase the Output by 200 counts, wait 40 seconds (or whatever the update time actually is), and then either increase, decrease, or hold our output.
What kind of accuracy are you looking for? 20amps? 5amps?
How long are your process runs? 20 minutes? 20 hours?