Table 4.1 shows the experimentally measured frequency response of an open-loop process plant G(s). It is decided that a PI controller of the form K(s) = K (1+77) is to be used as the controller for this plant with K-1 and T=0.5. Table 4.1 Freq (rad/s) Gain (dB) -40.2 0.01 0.02 0.04 0.08 0.1 0.2 0.4 0.8 1 -40.8 -42.9 -49 -52.3 -65.8 -82.4 -100 -105 Phase (Deg) -21.4 -42.1 -79.7 -135 -154 -204 -236 -252 -256 a) Plot the Bode Diagram of the open-loop transfer function on the graph given in the next page. b) What are the Gain Margin and Phase Margin of the system? c) Determine the stability of the closed-loop system when K=4.
Table 4.1 shows the experimentally measured frequency response of an open-loop process plant G(s). It is decided that a PI controller of the form K(s) = K (1+77) is to be used as the controller for this plant with K-1 and T=0.5. Table 4.1 Freq (rad/s) Gain (dB) -40.2 0.01 0.02 0.04 0.08 0.1 0.2 0.4 0.8 1 -40.8 -42.9 -49 -52.3 -65.8 -82.4 -100 -105 Phase (Deg) -21.4 -42.1 -79.7 -135 -154 -204 -236 -252 -256 a) Plot the Bode Diagram of the open-loop transfer function on the graph given in the next page. b) What are the Gain Margin and Phase Margin of the system? c) Determine the stability of the closed-loop system when K=4.
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Question
![Table 4.1 shows the experimentally measured frequency response of an open-loop process
plant G(s). It is decided that a PI controller of the form
K(s) = K (1+;
+73)
Ts
is to be used as the controller for this plant with K=1 and T=0.5.
Freq (rad/s)
Gain (dB)
Phase (Deg)
Table 4.1
0.04
0.08
0.1
0.2
0.4
0.01 0.02
-40.2 -40.8 -42.9
-49 -52.3 -65.8 -82.4
-21.4 -42.1 -79.7 -135 -154 -204 -236
0.8
-100
-252
1
-105
-256
a) Plot the Bode Diagram of the open-loop transfer function on the graph given in the next
page.
b) What are the Gain Margin and Phase Margin of the system?
c) Determine the stability of the closed-loop system when K= 4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc12e18b4-64e2-4716-a49c-e34ea3e09f4a%2F024396b4-98be-428b-a38f-eec6802694f6%2F1qfrsvp_processed.png&w=3840&q=75)
Transcribed Image Text:Table 4.1 shows the experimentally measured frequency response of an open-loop process
plant G(s). It is decided that a PI controller of the form
K(s) = K (1+;
+73)
Ts
is to be used as the controller for this plant with K=1 and T=0.5.
Freq (rad/s)
Gain (dB)
Phase (Deg)
Table 4.1
0.04
0.08
0.1
0.2
0.4
0.01 0.02
-40.2 -40.8 -42.9
-49 -52.3 -65.8 -82.4
-21.4 -42.1 -79.7 -135 -154 -204 -236
0.8
-100
-252
1
-105
-256
a) Plot the Bode Diagram of the open-loop transfer function on the graph given in the next
page.
b) What are the Gain Margin and Phase Margin of the system?
c) Determine the stability of the closed-loop system when K= 4.
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