The open loop Bode diagram of a feedback system is given. By using this plot, a) Determine the type of the number of the system. Explain b) Find the value of the related static error constant of the system. c) Determine the phase margin and gain margin; and show all these on the Bode diagram given. d) Using your answers in part (c), determine whether the corresponding closed-loop system is stable or not.

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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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The open loop Bode diagram of a feedback system is given.
By using this plot,
a) Determine the type of the number of the system. Explain
b) Find the value of the related static error constant of the system.
c) Determine the phase margin and gain margin; and show all these on the Bode diagram given.
d) Using your answers in part (c), determine whether the corresponding closed-loop system is stable
or not.
Magnitude (dB)
Phase (deg)
250
200
150
100
50
0
-50
-90
-135
-180
-225
-270
10*
1
15171T
*****
******
!!
!!
1-T111TH
******
CE
******
T
11100
******
****
LJILL
10³
!! !!!!!
TEY
*****
-F--
CHH
10²
I
T
111
Htt
10
Bode Diagram
TTTTT
I
E
H
700
!!!!!!!
H
iiiii
****
FETH
T
+HI
10
1
T
Frequency (rad/sec)
LI
TIT
|||
17710I
10¹
11
I I
T!
I
I
Tim
|||||
wi
110
HA+
******
***1
H
IE
LUJA
E
10³
35
10²
10
Transcribed Image Text:The open loop Bode diagram of a feedback system is given. By using this plot, a) Determine the type of the number of the system. Explain b) Find the value of the related static error constant of the system. c) Determine the phase margin and gain margin; and show all these on the Bode diagram given. d) Using your answers in part (c), determine whether the corresponding closed-loop system is stable or not. Magnitude (dB) Phase (deg) 250 200 150 100 50 0 -50 -90 -135 -180 -225 -270 10* 1 15171T ***** ****** !! !! 1-T111TH ****** CE ****** T 11100 ****** **** LJILL 10³ !! !!!!! TEY ***** -F-- CHH 10² I T 111 Htt 10 Bode Diagram TTTTT I E H 700 !!!!!!! H iiiii **** FETH T +HI 10 1 T Frequency (rad/sec) LI TIT ||| 17710I 10¹ 11 I I T! I I Tim ||||| wi 110 HA+ ****** ***1 H IE LUJA E 10³ 35 10² 10
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