1. A. Compensate the system of Fig-1, whose root-locus is shown in

Fig-2. If the system is operating with a damping ratio of .175, find

the steady state error improvement by a factor of 10.

R(s)

-11.61

E(s)

-10

Gain

K

X = Closed-loop pole

X-Open-loop pole

Plant

(s+1)x(s+2)(x+10)

(-0.174

-4.694+3.926

K-164.6

A

12

0

s-plane

100.0

A

CQs).

Fig-2

Fig-1