1. Find the equivalent transfer function of the negative feedback system shown in R(s) C(s) K s(s+2)² 1 Find values of gain K that will yield closed-loop poles that ensure (a) an overdamped response, (b) an under-damped response, (iii) a critically damped response. Show the pole locations for each case in a rough graph mentioning the corresponding value of K. Find a value of the gain K that will make the system marginally stable. Find the associated frequency of oscillation. show the pole locations for each case in a rough graph mentioning the corresponding value of K.

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1. Find the equivalent transfer function of the negative feedback system shown in
R(s)
C(s)
K
s(s+2)²
1
Find values of gain K that will yield closed-loop poles that ensure (a) an overdamped
response, (b) an under-damped response, (iii) a critically damped response. Show
the pole locations for each case in a rough graph mentioning the corresponding value
of K.
Find a value of the gain K that will make the system marginally stable.
Find the associated frequency of oscillation. show the pole locations for each case in
a rough graph mentioning the corresponding value of K.
Transcribed Image Text:1. Find the equivalent transfer function of the negative feedback system shown in R(s) C(s) K s(s+2)² 1 Find values of gain K that will yield closed-loop poles that ensure (a) an overdamped response, (b) an under-damped response, (iii) a critically damped response. Show the pole locations for each case in a rough graph mentioning the corresponding value of K. Find a value of the gain K that will make the system marginally stable. Find the associated frequency of oscillation. show the pole locations for each case in a rough graph mentioning the corresponding value of K.
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