1/4 " solenoid valves that are designed to be driven by a PWM signalThe advantage with such application using ON-OFF 3-way or two valves of 2-way to contol the pressure in a controlled volume is that the average pressure in the controlled volume is a function (S shaped like curve function) of the Duty Cycle only with no need for pressure sensor.
The frequency of the PWM will detemine the ripple size however, the higher the frequency the shorter the valve orifice seats life.
I have developed and designed such high frequencey valves for the last 25 years and have the analytical tools and knowledge to calculate and simulate the pneumatic time response of the control volume (constant and variable) and the electrical and mechanical time response of the valves.
However, pay attention to the fact that the forces on the Solenoid valve plunger are function of the average pressure meanly, a function of the Duty Cycle. Therefore, the valve mechanical time delay (dead time from the command to open or close until it close or open the orifice) is not constant and will change with the Duty Cycle. This can make a difference at high frequency.

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