Figure $1-$ Closed Loop System

Using the diagram in Figure $1,$

aG$\_(1)($s$)=($K$)/($s$($s$+1))$ sampling period of T$=0\mathrm{.}1$ seconds, derive the

loop transfer function G$($z$).$

bz to help you, determine the range of values for K

for stability.

cK$=$K$\_($cr $),$ derive the closed loop transfer

function

dT$=1$ seconds.

ez to help you, determine the range of values for K

for stability. NB$.$ Use the closed loop transfer function produced in part e$)$