10. Which of the open-loop functions has the following Bode plots: (g)apraudes Phase ( -50 -100 00 -136 100 270k 10 (a) G(s) = (c) G(s)= 24 s(s+2)(8+6) 24 s² (5+6) 10² Frequency (radise) (b) G(s)= 24 s² (s+2)(s+6) (d) G(s) = 10 s² +0.5s +10

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10. Which of the open-loop functions has the following Bode plots:
Magnitude (8)
Phase (de)
0
-50
-100
-90
-135
-180
-270
(a) G(s) =
10
24
s(s+2)(s+6)
(c) G(s) =
24
s² (s+6)
10⁰
G(s) =
Bode Diagram
Frequency (radise)
10
24
s² (s+2)(s+6)
(b) G(s)=-
10²
(d) G(s) =
10
s² +0.5s +10
11. Determine the number of unstable open-loop poles for the following system,
s-3
s(s+6)(s-10)(s-12)
(a) P=3
(b) P=2
(c) P = 4
(d) P = 5
12. For the system in Problem 11, the closed-loop system is stable if and only if
(a) the Nyquist diagram encircles the (-1, 0) point twice clockwise
(b) the Nyquist diagram does not encircle the (-1,0) point
(c) the Nyquist diagram encircles the (-1, 0) point twice counterclockwise
(d) the Nyquist diagram encircles the (-1, 0) point three times counterclockwise
13. Consider the following Nyquist Diagram,
Transcribed Image Text:10. Which of the open-loop functions has the following Bode plots: Magnitude (8) Phase (de) 0 -50 -100 -90 -135 -180 -270 (a) G(s) = 10 24 s(s+2)(s+6) (c) G(s) = 24 s² (s+6) 10⁰ G(s) = Bode Diagram Frequency (radise) 10 24 s² (s+2)(s+6) (b) G(s)=- 10² (d) G(s) = 10 s² +0.5s +10 11. Determine the number of unstable open-loop poles for the following system, s-3 s(s+6)(s-10)(s-12) (a) P=3 (b) P=2 (c) P = 4 (d) P = 5 12. For the system in Problem 11, the closed-loop system is stable if and only if (a) the Nyquist diagram encircles the (-1, 0) point twice clockwise (b) the Nyquist diagram does not encircle the (-1,0) point (c) the Nyquist diagram encircles the (-1, 0) point twice counterclockwise (d) the Nyquist diagram encircles the (-1, 0) point three times counterclockwise 13. Consider the following Nyquist Diagram,
08
06P
04
02
02
44
-06
-08
-0.8 -0.6
Nyquist Dagram
02 0 02 04 06 0.8
RealAxis
1
Determine the Gain Margin
(a) - 0.38
(b)-2.63
(c) 8.38 dB
14. Determine the Phase Margin of the above Nyquist diagram in Problem 13
(a) 27.6 deg
(b)-27.6 deg
(c) 0 deg
(d) - 180 deg
15. If the system has the same Nyquist diagram as in Problem 13, and the number of open-loop
poles in the right-hand side of s-plane P = 0, then the closed-loop system is
(a) stable
(b) unstable
(c) not sure
(d) marginal stable
(d)-8.38 dB
Transcribed Image Text:08 06P 04 02 02 44 -06 -08 -0.8 -0.6 Nyquist Dagram 02 0 02 04 06 0.8 RealAxis 1 Determine the Gain Margin (a) - 0.38 (b)-2.63 (c) 8.38 dB 14. Determine the Phase Margin of the above Nyquist diagram in Problem 13 (a) 27.6 deg (b)-27.6 deg (c) 0 deg (d) - 180 deg 15. If the system has the same Nyquist diagram as in Problem 13, and the number of open-loop poles in the right-hand side of s-plane P = 0, then the closed-loop system is (a) stable (b) unstable (c) not sure (d) marginal stable (d)-8.38 dB
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