Tony,
Personally I'm not really chasing full automatic control, but more as you suggest automatic trim to maintain the pressure against fluctuations in voltage etc. as you mention, but also for steps in valve opening. With bench familiarity it will become obvious how many 100% motors need to be running with the variables.
I still consider universal vac motors in combination with a VFD experimental. I am thinking commutation would screw with the VFD diagnostics.
I've mentioned earlier using a pot controlled solid state relay to change vac motor speed. I'm presently checking out a couple low cost analog SSR options.
One option is a phase angle firing SSR with integral analog input claimed to be suitable for universal motors. These things come with 'headline ratings' up to 90Amps, and can be selected with one of 0-5V or 0-10v or 4-20ma input.
Another option is a $US60 card that screws on the input terminals of an instant switching SSR and operates them as phase control. The card is DIP switch settable for 0-5V, 0-10v, 4-20ma, 1-5v, 2-10v or potentiometer. There are myriad brands and sizes of the instant switching SSR's suitable for inductive loads. At around AU$70 for a 'headline 40A' SSR with heatsink, we have the power side control of about 25Amps conservatively worth of vac motors. These SSR's are availbe up to at least 150A headline, I'd only be guessing at prices for this rating.
I'm asking questions of the card manufacturer at the moment with the intention of getting one and trialling it as the most flexible option. The all in one SSR may work out the cheapest but also least flexible option.