4. The open-loop transfer function of a unity feedback system is G(s)H(s) = 10(0.05s + 1)/[(s + 1)(0.5s + 1(0.1s + 1)]. Determine the gain margin, phase margin, and gain crossover frequency. Comment on the stability of the closed loop system. Ans. Gain crossover frequency = 4.5 rad/sec, phase crossover frequency = 9.4 rad/sec, gain margin = 14 dB, phase margin = 45° 6. Find the transfer function of a system having the Bode plot (magnitude) shown in Figure 1. dB nu of abnom 0 = 1 0 = 10 w = 100 log o - 20DB/decade 06- -20DB/decade -401B/decade (b) A ympto low 12 /dele s+100 der junction of a unity ledb le (d) Ans. s(s+10) noitanul srdo uminim 20
4. The open-loop transfer function of a unity feedback system is G(s)H(s) = 10(0.05s + 1)/[(s + 1)(0.5s + 1(0.1s + 1)]. Determine the gain margin, phase margin, and gain crossover frequency. Comment on the stability of the closed loop system. Ans. Gain crossover frequency = 4.5 rad/sec, phase crossover frequency = 9.4 rad/sec, gain margin = 14 dB, phase margin = 45° 6. Find the transfer function of a system having the Bode plot (magnitude) shown in Figure 1. dB nu of abnom 0 = 1 0 = 10 w = 100 log o - 20DB/decade 06- -20DB/decade -401B/decade (b) A ympto low 12 /dele s+100 der junction of a unity ledb le (d) Ans. s(s+10) noitanul srdo uminim 20
Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Control system
![4. The open-loop transfer function of a unity feedback system is G(s)H(s) = 10(0.05s + 1)/[(s+ 1)(0.5s +
1(0.1s + 1)]. Determine the gain margin, phase margin, and gain crossover frequency. Comment on the
stability of the closed loop system.
pont
Ans. Gain crossover frequency = 4.5 rad/sec,
phase crossover frequency = 9.4 rad/sec,
gain margin = 14 dB, phase margin= 45°
6. Find the transfer function of a system having the Bode plot (magnitude) shown in Figure 1.
(6)
dB
20
O = 1
0 = 10
O = 100
log o
- 20DB/decade
06
- 20DB/decade
401B/decade
(b)
2 Pora type
s+100
The
Ans.
s(s+10)
unctiud
noisonul zeng lle (d)
noitonul s o muminin](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f7e7f28-a3b9-4e54-a9bd-9d964fefdb83%2Fe8b81d00-595d-49cc-8e66-c10557647e08%2Fwq0nd0q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. The open-loop transfer function of a unity feedback system is G(s)H(s) = 10(0.05s + 1)/[(s+ 1)(0.5s +
1(0.1s + 1)]. Determine the gain margin, phase margin, and gain crossover frequency. Comment on the
stability of the closed loop system.
pont
Ans. Gain crossover frequency = 4.5 rad/sec,
phase crossover frequency = 9.4 rad/sec,
gain margin = 14 dB, phase margin= 45°
6. Find the transfer function of a system having the Bode plot (magnitude) shown in Figure 1.
(6)
dB
20
O = 1
0 = 10
O = 100
log o
- 20DB/decade
06
- 20DB/decade
401B/decade
(b)
2 Pora type
s+100
The
Ans.
s(s+10)
unctiud
noisonul zeng lle (d)
noitonul s o muminin
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