The is a big difference between have a linear system and the non-linear ramps!
What a control person wants to see is that the actor moves at 10% of maximum speed with a 10% control output, 20% of maximum speed with a 20% control output. 30% of maximum speed with a 30% output etc.
Hydraulic controllers should never use linear ramps! They need to use s-curves or s-ramps. A linear ramp assumes the acceleration can instantly change which it can't. It takes flow to change the force and that takes time so s-curves are the way to go.
Freddyj has not stated the maximum speed, acceleration velocity, pressure or accuracy required of the system. Many presses can have a high speed low tolerance primary movement that is controlled by large flow on-off valves and slower speed higher accuracy finish movements.
That is possible but not with a simple PID controller. You are expecting a control person to figure out the gains at high speed and then at low speed. Most control people have a hard enough time just trying to figure out how to tune a PID. If you make life difficult for the control guy you will not make any friends.
Many of the proportional valves are more linear as the flow decreases so the tuning of the control is easier if a high response speed is not required.
Response times and linearity are two different issues. Freddyj is controlling a press. High response times are always required on a press. Fortunately most valves dither well enough to control pressure. The ability to accelerate and decelerate is limited by the response of the valve, the diameter of the cylinder and the mass of the load.
If the system does require high flow (40+ GMP) the response of a large servo valve may not be any better than a small proportional valve at low flows.
As you said, freddyj didn't state the flow or speed required but if he wants to close the press at 10 inches per second he will need a very big valve. Moog has some valves that can control this easily. The issue is whether there are 2:1 valves for big valves.
Why do you resist? What is wrong with my solution?
I have explained what is wrong with other non-linear solutions. If you want to remain friends with the control guys you will heed my advice.
I have many different press customers. Some are controlling four corner presses. In these cases the ability to synchronize the actuators within a few thousands of an inch is critical. In the past there were Metal Form shows. 1/3 to 1/2 of the hydraulic press manufactures there are our customers.
Hydromech wants to know what qualifies me to post on this forum. I would say that our company has been involved with more hydraulic presses than all of you combined. As soon as the words PID, closed loop or servo control are mentioned the design rules change. If you don't design the press to be controllable you will not be asked to design another press. Is that simple enough? Why do you resist?