Dr. Abner Mallity forgot to tell you something.  He also needs your help in designing a proportional control system for Helicopter 2.  (Click here for the original problem.)  As in the problem for Helicopter 1, there is a simulator available which you can get by clicking here.  In that simulator you can put in values for the transfer function, then run the simulation.  You need to evaluate how proportional control works, including the items below.

• Is the steady state error predictable?
• SSE is a function of gain.  Does the SSE behave the way you expect?  You will need to check at least 3 (preferably more) values of gain, compute SSE and compare results with predictions.
• Does the system behave as you expect?  Evaluate the following.
• Response in general.
• Rise time.
• Percent Overshoot.
• Relate performance to pole location.  In turn, pole location is a function of the proportional gain that you use.  As you begin to study about the root locus you will find that pole location is a function of the loop gain, and that understanding how pole location affects performance, and how pole location changes as you change the gain are both important things for you to learn.