Problem 3. (15 points) Design the lag compensator such that you achieve the both re-requirements. D_{c}(s)=\frac{T_{i} s+1}{\alpha T_{i} s+1} where a > 1. Use K you designed in Prob. 1.

Provide the Bode plot of the open-loop with the stability margins. You will need iterations to find the correct T; and a.