Problem $1$

sketch the root$-$locus plot of a negative feedback control system whose open$-$loop transfer function is

G$($s$)=$K$($S$+2)/$s$^2+3$H $($s$)=1$

$,$

Problem $2$

Use MALAB and repeat the Problem $1$ and b$)$ determine K such that the responseof the system to a unit step$-$input $($R$($s$)=1/$s$)$ has an overshoot of less than equal $5\%$ and a settling time $(2\%)$ of less than $2\mathrm{.}0$ seconds.$(1,0)$