In the areas where I work (oil production) commonly used hydraulic pressures are 207 bar and 517 bar (3000 and 7500psi).
These hydraulic supplies are controlled (on/off) by a fairly simple solenoid operated valve.
Some of the advantages of hydraulics over say an electric motor, are that for a given power rating, an hydraulic motor is much smaller than the equivalent electric motor, an hydraulic motor does not burn out if it is stalled by the load, and hydraulic equipment is not affected by water in the same way as electrics.
Pneumatics is not used at such high pressure because of the amount of stored energy in compressed gas, makes it quite dangerous.
Also consider a linear actuator, pressurise it with hydraulics and the distance it moves is proportional to the volume of fluid which is put into it, irrespective of the load.
However if compressed air is put into the actuator which is applying a force to some load. If the load force is removed, the actuator can shoot out at full speed as soon as the air is applied to the actuator.
JimB