8. a) Figure Q.8(a) shows the Bode plot of the system with transfer function: 50 G(s) - s(s + 1)(s+ 20) Estimate the Gain and Phase Margins from the Bode plot then calculate accurately the value of the Gain margin. Bade Diagram 100 -100 150 00 -270 Frequency (adec) Figure Q.8(a) (Ap) aprarufeW

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8.
a) Figure Q.8(a) shows the Bode plot of the system with transfer function:
50
G(s) -
s(s+ 1)(s + 20)
Estimate the Gain and Phase Margins from the Bode plot then calculate accurately the
value of the Gain margin.
Bade Diagram
150
135
Frequency (aee)
Figure Q.8(a)
b) Continued overleaf.
Dynamics & Control 3 - May 2010
OVER
b) Figure Q.8(b) shows the block diagram representation of a system with input y(1) and
response x(f). Derive an expression for the steady state response, x(1),,, of the system
when the input takes the form:
y(1) - 10sin5r
Y(s)
1.
X(s)
s+ 5
1
S+2
Figure Q.8(b)
Transcribed Image Text:8. a) Figure Q.8(a) shows the Bode plot of the system with transfer function: 50 G(s) - s(s+ 1)(s + 20) Estimate the Gain and Phase Margins from the Bode plot then calculate accurately the value of the Gain margin. Bade Diagram 150 135 Frequency (aee) Figure Q.8(a) b) Continued overleaf. Dynamics & Control 3 - May 2010 OVER b) Figure Q.8(b) shows the block diagram representation of a system with input y(1) and response x(f). Derive an expression for the steady state response, x(1),,, of the system when the input takes the form: y(1) - 10sin5r Y(s) 1. X(s) s+ 5 1 S+2 Figure Q.8(b)
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