Consider a unity (negative) feedback system with loop transfer function G(s) with Bode plots depicted in Figure 3. There are no break frequencies outside the frequency range shown. Answer the following questions in the space provided What is the type of the system? What is an estimate for the appropriate error constant? What is the crossover frequency? What is the Phase Margin? (Show on Fig. 3 and estimate beside) What is the Gain Margin? (Show on Fig 3 and estimate beside) Estimate the PO of the closed-loop system to a unit step input. Estimate the closed-loop bandwidth.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Magnitude (dB)
60
40
20
0 -
-20
40-
-60
-100
-120
-45
Phase (deg)
.
-90
ד זוזחר
1
<-135
1
זוזההר
חזחזהחר
דרותחת
חזחזרחר
דוד חחח
-08- - - זוזחר
-180
- - -
-225
1
וזוזחר
.
.
-270
חחח --
0/
זוזיה
1
.
.
.
1
i
1
1
1
1
----
1
T
חזחזהחר
1
.
1
חווה
L
1
1
1
1
.
.
.
1
////
----
.
1
..
וווווה
חת
התחורז
חדווו
חה
וווו
דרוווחח
JUULLL
1
1
+++
-1-
1 1
1
1
!
TI
---
J_111UUL
חחחח
חחחזד
.
1
.
.
-זוזהחר
1
חד
חחחח
1
10-¹
דזוזה
1
...
.
I
.
1
...
|
חז וזרחר
1
.
1
1
1
L
.
LUUL ---
.
..
..
.
. 1
I
..
1
T
. 1
..
ודו
. .
.
.
TTH
LL
.
.
+ -1-
1
|
Bode Diagram
..
חד-ד
1
--- + +
| 1 - /////
.
.
.
-------
----L
|
1
וזוזחח
זחורחר
. I
12
10°
.
י
...
1
.
.
T
ד זוזוחר
1
1
. -.-- ///
I
.
1
1
LIILILIL
.
..
.
..
ז]זחחר
|
1
|
-15
-------
.
-1-
י
LILL
What is the type of the system?
What is an estimate for the
error constant?
What is the crossover frequency?
IF
1
1
.
"
.
| .
+
////
-----
חז
|
|
What is the Phase Margin?
(Show on Fig. 3 and estimate beside)
חד
...
What is the Gain Margin?
(Show on Fig 3 and estimate beside)
--
Frequency (rad/sec)
L ..
if
++I+MF -
appropriate
דוו
10'
יוורון
ד זוזההר
.
Estimate the PO of the closed-loop system
to a unit step input.
Estimate the closed-loop bandwidth.
7
.
דז]זחר
.
. -----//
. . -------
-----TIL
LINIUUL_
TYRILL
T
.
.
.
..
| -- L
_1_111LUL
-----/
I
|
|
.
.
| 111 LILIL
.
.
זוזהחר
.
.
..
--------
T
ו
|
-1:
F
.
L
.
..
.
1
. . ...
זראחר-
.
.
|
.ד
וההזדז
חד וז-ו-
. 1 |
.
+
......
זדז
.
----
.
..
..
++HHF
-------
+++
…
---
10²
ד זחזה
י
ULבנ1_|
1
.
דזוזה
.
1
| IJIULL
.
.
ד
T
III LILL
----
.
.
J
.
.
.
.
וזוזו דר
| ..
. .
י
.
----
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.
.
------|
1JILILL
.
.
|
.
י
. -----
JILILL
.
------
.
. ..
.
ודד
י
י
חזו זדז־ו
.
.
..
I
.
חזר ד ־ו־
I
.
.
. ------
...……
.
-
L
FI H + + + -ו-
ו
......
...
.
Figure 3:
2. Consider a unity (negative) feedback system with loop transfer function G(s) with Bode plots
depicted in Figure 3. There are no break frequencies outside the frequency range shown.
Answer the following questions in the space provided
|||
10
Transcribed Image Text:Magnitude (dB) 60 40 20 0 - -20 40- -60 -100 -120 -45 Phase (deg) . -90 ד זוזחר 1 <-135 1 זוזההר חזחזהחר דרותחת חזחזרחר דוד חחח -08- - - זוזחר -180 - - - -225 1 וזוזחר . . -270 חחח -- 0/ זוזיה 1 . . . 1 i 1 1 1 1 ---- 1 T חזחזהחר 1 . 1 חווה L 1 1 1 1 . . . 1 //// ---- . 1 .. וווווה חת התחורז חדווו חה וווו דרוווחח JUULLL 1 1 +++ -1- 1 1 1 1 ! TI --- J_111UUL חחחח חחחזד . 1 . . -זוזהחר 1 חד חחחח 1 10-¹ דזוזה 1 ... . I . 1 ... | חז וזרחר 1 . 1 1 1 L . LUUL --- . .. .. . . 1 I .. 1 T . 1 .. ודו . . . . TTH LL . . + -1- 1 | Bode Diagram .. חד-ד 1 --- + + | 1 - ///// . . . ------- ----L | 1 וזוזחח זחורחר . I 12 10° . י ... 1 . . T ד זוזוחר 1 1 . -.-- /// I . 1 1 LIILILIL . .. . .. ז]זחחר | 1 | -15 ------- . -1- י LILL What is the type of the system? What is an estimate for the error constant? What is the crossover frequency? IF 1 1 . " . | . + //// ----- חז | | What is the Phase Margin? (Show on Fig. 3 and estimate beside) חד ... What is the Gain Margin? (Show on Fig 3 and estimate beside) -- Frequency (rad/sec) L .. if ++I+MF - appropriate דוו 10' יוורון ד זוזההר . Estimate the PO of the closed-loop system to a unit step input. Estimate the closed-loop bandwidth. 7 . דז]זחר . . -----// . . ------- -----TIL LINIUUL_ TYRILL T . . . .. | -- L _1_111LUL -----/ I | | . . | 111 LILIL . . זוזהחר . . .. -------- T ו | -1: F . L . .. . 1 . . ... זראחר- . . | .ד וההזדז חד וז-ו- . 1 | . + ...... זדז . ---- . .. .. ++HHF ------- +++ … --- 10² ד זחזה י ULבנ1_| 1 . דזוזה . 1 | IJIULL . . ד T III LILL ---- . . J . . . . וזוזו דר | .. . . י . ---- I . . . ------| 1JILILL . . | . י . ----- JILILL . ------ . . .. . ודד י י חזו זדז־ו . . .. I . חזר ד ־ו־ I . . . ------ ...…… . - L FI H + + + -ו- ו ...... ... . Figure 3: 2. Consider a unity (negative) feedback system with loop transfer function G(s) with Bode plots depicted in Figure 3. There are no break frequencies outside the frequency range shown. Answer the following questions in the space provided ||| 10
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