Dr. Abner Mallity has another problem from River City Circuits Corporation.  They won't tell him what they system is, but they have the impulse response of the system to an impulse of magnitude 50.  That impulse response is shown below.  Note that the times involved here are in minutes - not seconds.

The folks at RCCC are very hush-hush with this system and won't tell Mallity exactly what it is or where they got the data.  Still, they need his help to design a control system that will do the following.

• They want to know if the system can be implemented with proportional control.  Their specifications are as follows.
• If there is a disturbance in the system, the system should return quickly to the steady state.  A response time of one hour (60 minutes - Remember the times above are in minutes.) is desired.  Mallity has defined that as a 10-90 rise time (or fall time?) of 60 minutes.
• They want less than 5% overshoot if the closed loop response is oscillatory.
• If the desired setting changes, they want the system to have less than 4% error.