According to the unity feedback system shown in Figure Q.2a, where G(s) : (s+1)(s+2)(s+6) And second order approximation can be used based on given open loop transfer function for unit step input for R(s). R(s) + C(s) G(s) Figure Q.2a Figure Q.2b shows the root locus for a given system. The following questions are to be answered using the root locus. a) Determine K for the 30% overshoot. (3 = 0.3579) b) Refer to the root locus, determine gain K for system marginally stable.

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QUESTION 2
K
According to the unity feedback system shown in Figure Q.2a, where G(s) =;
(s+1)(s+2)(s+6)
And second order approximation can be used based on given open loop transfer function for
unit step input for R(s).
R(s) +
C(s)
G(s)
Figure Q.2a
Figure Q.2b shows the root locus for a given system. The following questions are to be
answered using the root locus.
a) Determine K for the 30% overshoot. (3 = 0.3579)
b) Refer to the root locus, determine gain K for system marginally stable.
c) Obtain steady state error, if system operate with settling time, T, = 4 seconds.
Transcribed Image Text:QUESTION 2 K According to the unity feedback system shown in Figure Q.2a, where G(s) =; (s+1)(s+2)(s+6) And second order approximation can be used based on given open loop transfer function for unit step input for R(s). R(s) + C(s) G(s) Figure Q.2a Figure Q.2b shows the root locus for a given system. The following questions are to be answered using the root locus. a) Determine K for the 30% overshoot. (3 = 0.3579) b) Refer to the root locus, determine gain K for system marginally stable. c) Obtain steady state error, if system operate with settling time, T, = 4 seconds.
Root Locus
7
6.
5
3
-1
-5
-6
-5
-4
-3 -2 -1 0
1
Real Axis
Figure Q.2b
7
Imaginary Axis
Transcribed Image Text:Root Locus 7 6. 5 3 -1 -5 -6 -5 -4 -3 -2 -1 0 1 Real Axis Figure Q.2b 7 Imaginary Axis
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