3. Figure 3 shows a closed-loop control system Reference Output, input, r(t) + y(1) 2 Kp s+ 1 Proportional gain Plant s+6 Sensor Figure 3. A closed control system a. Compute the controller gain Kpso that the undamped natural frequency of the closed- loop system is wn = 4 rad/s. b. Compute the controller gain K, so that the damping ratio of the closed-loop system is 3 = 0.6. c. Compute the steady-state output for a step reference input r(t) = 4U(t) and controller gain Kp= 3.
3. Figure 3 shows a closed-loop control system Reference Output, input, r(t) + y(1) 2 Kp s+ 1 Proportional gain Plant s+6 Sensor Figure 3. A closed control system a. Compute the controller gain Kpso that the undamped natural frequency of the closed- loop system is wn = 4 rad/s. b. Compute the controller gain K, so that the damping ratio of the closed-loop system is 3 = 0.6. c. Compute the steady-state output for a step reference input r(t) = 4U(t) and controller gain Kp= 3.
Introductory Circuit Analysis (13th Edition)
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![3.
Figure 3 shows a closed-loop control system
Reference
Output,
input,
r(t)
+
y(1)
2
Kp
s +1
Proportional
gain
Plant
6.
s+ 6
Sensor
Figure 3. A closed control system
a. Compute the controller gain Kpso that the undamped natural frequency of the closed-
loop system is wn = 4 rad/s.
b. Compute the controller gain K, so that the damping ratio of the closed-loop system is 3 =
0.6.
c. Compute the steady-state output for a step reference input r(t) = 4U(t) and controller gain
Kp= 3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46af058d-be1f-4432-92f6-bec5aa95c85e%2F46bf357e-0e05-4196-857d-003f1a65c31b%2F5vrbow_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3.
Figure 3 shows a closed-loop control system
Reference
Output,
input,
r(t)
+
y(1)
2
Kp
s +1
Proportional
gain
Plant
6.
s+ 6
Sensor
Figure 3. A closed control system
a. Compute the controller gain Kpso that the undamped natural frequency of the closed-
loop system is wn = 4 rad/s.
b. Compute the controller gain K, so that the damping ratio of the closed-loop system is 3 =
0.6.
c. Compute the steady-state output for a step reference input r(t) = 4U(t) and controller gain
Kp= 3.
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