Problem 2. (15 points) Design the lead compensator such that you can achieve the both requirements. D_{c}(s)=\frac{T_{d} s+1}{\alpha T_{d} 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 theta max and wmax.