Design a PID controller (using the tools from class) for the unity feedback system described in Project 2 such that setting time is reduced by a factor of 20 while maintaining a 5% overshoot, and a 0 steady-state error for a ramp input. Simulate the step and ramp response for the system from time 0 to 1. Do not worry if your %OS is not exactly 5%, we will accept up to a 20% overshoot. Nevertheless, you should get a good ramp response. Do not forget to report the gain and location of the zeros that you found. Include your derivations.

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