Question

In a second-order linear process control system, the pressure value changes from 0 to 50 PSI values in 4 seconds with a transient period ends at 3 seconds. If the maximum overshoot in this pressure control system is 10%, Find out the peak pressure value that the system was reached to? Assume that the system in Question 1 has a rise time of 2 seconds, Also assume that the pressure value at 0.5 sec is 5PSI. What is the pressure value of the system in PSI at 2.5 seconds?

Answer 1

The peak pressure value reached by the system is 55 PSI. The pressure value at 2.5 seconds cannot be determined without knowing the damping ratio and natural frequency of the system.

Step-by-step explanation:

In a second-order linear process control system, the maximum overshoot is the percentage by which the system exceeds the steady-state value before settling down.

In this case, the maximum overshoot is given as 10%. So, if the pressure value changes from 0 to 50 PSI, the peak pressure would be 110% of 50 PSI, which is 55 PSI.

Therefore, the peak pressure value that the system reached is 55 PSI.

To find the pressure value of the system at 2.5 seconds, we need to know the damping ratio and the natural frequency of the system.