(Solved): Consider the closed loop system below, where Gspeed(s) is as shown below, and Gc(s) is the ...

Consider the closed loop system below, where $G_{\text{speed }}(s)$ is as shown below, and $G_c(s)$ is the PI controller also shown below. 1. Calculate the closed-loop transfer function. 2. Calculate the closed-loop settling time. 3. Calculate the steady-state error for a unit step input. $\begin{array}{c}{G}_{\text{speed }}(s)=\frac{11.918}{s+6.849}\\ G_C(s)=\frac{14.706}{s+14.706}\end{array}$