There reason why "everything changes when they all move" is that the system pressure drops. The system gain is proportional to the sqrt(Ps*Area-Fl)
where:
Ps is the supply pressure
Area is the area of the piston
Fl is the load force.
Send me a plot or take a screen shot and post it.
Normally when moving at a constant velocity the control signal is constant too. If the system isn't designed right the magnitude of the control signal must be always increasing as the supply pressure decreases.
There are a couple solutions.
1. Install a bigger accumulator.
2. Install a pressure transducer on the supply pressure and run the analog signal to the motion controller. Obviously the motion controller must have an analog input for this. The motion controller can then change the gains on-the-fly as the pressure changes. Actually there is an output scale that was added for this purpose. Few, less than 1 precent, do it though. Most get bigger accumulators.