$37-$ekil $4\text{'}$te$,$ verilen sistem i$$in K$$k Yer e$$risini $$iziniz$.$

Ayr$$lma$/$birle$$me noktalar$$n$,$ asimptot a$$lar$$n$,$ asimptotlar$$n kesi$$im noktalar$$n$$ bulunuz. K$$k$-$Yer e$$risinin sanal ekseni kesti$$i noktalar belirleyiniz. Kararl$$l$$k i$$in K kazanc$$n$$n de$$erini belirleyiniz.

In Fig. $4$ is shown feedback control system with the following transfer functions: $G_C(s)=K$;$G(s)=\frac{(s+40)}{s(s+10)}$;$H(s)=\frac{1}{s+20}$

a$)$ Sketch the Root Locus for the system. Determine breakaway point and the points where the root loci cross the imaginary axis.

b$)$ Determine the limiting value of gain K for a stable system. $35$ p

Answer: $q,0$

$q,$