(b) The Bode diagram of G(s) is shown in Figure Q3 below. Determine approximate values for the gain and phase margins from this plot. Bode Diagram 40 20 -20 -40 -60 -90 -135 -180 10-1 100 101 Frequency (rad/s) 102 Figure Q3 (c) Using root locus analysis, for the plant P(s) and controller C(s) presented at the start of the question, determine the smallest value of z1 for which the closed loop system may become unstable for large values of K. Sketch a corresponding root locus diagram and discuss the differences to the diagram which you obtained in (a). (6ap) eseyd Magnitude (dB)

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(b)
The Bode diagram of G(s) is shown in Figure Q3 below. Determine
approximate values for the gain and phase margins from this plot.
Bode Diagram
40
20
-20
-40
-60
-90
-135
-180
100
101
Frequency (rad/s)
10-1
102
Figure Q3
(c)
Using root locus analysis, for the plant P(s) and controller C(s) presented at
the start of the question, determine the smallest value of z1 for which the
closed loop system may become unstable for large values of K. Sketch a
corresponding root locus diagram and discuss the differences to the diagram
which you obtained in (a).
(6ap) eseyd
Magnitude (dB)
Transcribed Image Text:(b) The Bode diagram of G(s) is shown in Figure Q3 below. Determine approximate values for the gain and phase margins from this plot. Bode Diagram 40 20 -20 -40 -60 -90 -135 -180 100 101 Frequency (rad/s) 10-1 102 Figure Q3 (c) Using root locus analysis, for the plant P(s) and controller C(s) presented at the start of the question, determine the smallest value of z1 for which the closed loop system may become unstable for large values of K. Sketch a corresponding root locus diagram and discuss the differences to the diagram which you obtained in (a). (6ap) eseyd Magnitude (dB)
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