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).

 

Transcribed Image Text:

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 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