You need to control a rocket's vertical angle.  If you wiggle the fin, when you apply a unit step voltage to the control motor, the motor driving the fin has a .1 sec time constant, and the rocket has a one second time constant for the rotation rate.  That leads to a transfer function like this:

You need to design a control system for the rocket to control the angle off the vertical.  Assume that you have a sensor that gives you the angle off vertical.  The closed loop system has the following specs.

• Rise time < .2 sec
• f_m > 40^o.  This is intended to give a system with less than 5% overshoot.  Does it work?
• SSE < 2%