You wrote this.
Alma X said:
if the pressure drops the pressure transmitter sends a cosign to the controller which open the valve
I would do it this way.
Valves pressure control valves operate by adjusting their position between full open and full closed. You can define a "set pressure". which the
highest operating pressure you want to have. When your vessel has any pressure lower than that set pressure,
the valve will be fully open. When pressure is rising to equal the set pressure, the valve will begin closing. If the pressure in the vessel starts to go over the set pressure, the max vessel pressure, the valve will close. This method controls pressure going to the vessel and protects the vessel's pressure from getting too high and potentially exploding.
By proper selection of the valve, you can also make the valve give you a "target pressure" when it is, for example, 60% open. When pressure is above target pressure, the valve will close a little and pressure will go down to the target pressure. The valve will never be fully closed until pressure reaches the highest possible operating pressure, the "set point" as we defined above. When pressure is lower than target pressure, the valve will open a little and pressure will rise to target pressure. When pressure is very low, the valve will be fully open.
It is just a matter of selecting the valve with the correct characteristics.
That method described above will protect your vessel from overpressure.
You could do almost the same thing using a "target pressure" as "set point". Opening the valve to 60% when pressure is less, and closing the valve to 60% when pressure is high. It requires that you select the valve correctly. Note that the vessel might not be securely protected, because it depends on at what pressure the valve fully closes. If the valve is not fully closed before the pressure reaches the vessel's maximum operating pressure, it might endanger the vessel, as the set point is independent of vessel max pressure.
If you need to protect the vessel, it is also possible with the above to set another high pressure shutoff. When reaching that pressure, the valve will close. You may also need a relief valve on the vessel, just in case the pressure rises too high and the valve fails to close.
What you must do depends on if securely protecting the vessel is important or not. Proper valve selection, choosing the set point and determining the pressure drop at operating point and the resulting operating pressure are all very important.