a$)$ Find $G_c(s)$ so that the dominant closed loop plant ploes are at $,s=-2+-j2\sqrt[\phantom{2}]{3}$ and also the SSE should be approximately $\frac{1}{80}$ to $R(s)=\frac{1}{s^2}$

Let $,G_c(s)=$Kubrace$(\frac{(s+a)}{(s+b)}$ubrace${)}_{\text{L}\text{e}\text{a}\text{d}}$ubrace$(\frac{(s+c)}{(s+d)}$ubrace${)}_{\text{L}\text{a}\text{g}}$

Design Lead first with $a=3$

Design Lag to meet SSE with $C=0\mathrm{.}1$

Then find $K,b,d$ so that SSE and pole requirements are satisfied