I think I may have mislead you with my comment on equal percentage trims, please ignore that for the moment, I need to think that over.
Back to one comment of yours:
"I need to know how to translate the desired flow vs lift characteristic curve into the trim design in order to write a good specification such as what resolution should I specify, the definition of resolution, acceptance test etc."
I don't understand what you are asking for here? "resolution I should specify", "definition of resolution" are all terms/phrases I'm not sure what you are trying to say.
With a steam let-down system, you obviously have a fairly wide range of flow rates that doesn't fit in one valve and as a result, you've gone to three of them. At the point where the second (and to a lessor extent) the third valve starts to open, control is going to be a problem. You can't do much about that any more than you can 'fix' poor valve control when its bouncing off the seat.
Hopefully, the valves have been specified considering the sites loads in mind such that you don't have to operate with the small valve is essentially wide open and the large valve is a couple of % open. If you do, one option would be to close the small valve and push all the load onto the big valve and get the opening up and into a better control range (your operators will quickly decide to simply put the small valve in manual and close it). Without understanding how your system is expected to work, it's difficult to be more specific.