3) The figure shows the root locus of a system G(s), plotted for positive values of K.

) What is the range of K for which Mode 1 is stable in the closed loop?

g) What is the range of K for which Mode 2 is stable in the closed loop?

h) What is the range of K for which the overall system is stable in the closed loop?

i) Find the steady state error to a unit step input, when K = 4, 15, 20.

j) With the use of a pure gain feedback, state which of the following closed loop values of damping ratio 1 are achievable, along with the reason for your answer.

0.28, 0.56, 0.82.

(You are not required to find the value of the feedback gain).

k) With the use of a pure gain feedback, state which of the following closed loop values of

damping ratio 2 are achievable, along with the reason for your answer.

0.28, 0.56, 0.82.

(You are not required to find the value of the feedback gain).

 

Imagnay Axis 15 0.82 0.7 0.56 10 0.91 0.975 17.5 K = 19.2 -51 0.975 0.91 -10 15 12.5 10 7.5 Root Locus 0.42 0.28 0.14 5 2.5 K-19.7 K = 4.6 K=0.29 K = 0.22 0.82 0.7 -15 0,56 -10 0.42 0.28 0.14 -5 RealAxts