Dr. Abner Mallity needs your help.  The sports helicopter company he has been consulting with has decided to offer a higher power, more fuel-efficient motor.  However, it takes a little longer to respond.  The open-loop transfer function for the helicopter with the new motor is:

Here is what you need to do.

• Determine the response of the system when the gain is adjusted for a 50^o phase margin.
• With that gain, determine the settling time for the closed loop system.  Simulate the system in Simulink and compare the settling time with an estimate from the Bode' plot.