Q5. Consider the Nyquist plot of the frequency response of the open-loop system10000G.(s)(s+ 1)(s+10)(s + 50)which is shown in Figure Q5 below.Imaginary Axis0.5Real Axis-08-0.5-0.5Figure Q52Tutorial 2: Frequency Response Analysis(a) Write down the expression of the frequency response for this system, clearlyshowing the overall gain.(b) Is the corresponding closed-loop system with unity feedback gain stable or not?Explain why.(c) Determine the approximate value of the gain margin from Figure Q5. What isthe maximum value of an additional gain K for which the closed loop would stillbe stable?(d) Determine the approximate value of the phase margin from Figure Q5. Assumingthat the corresponding point on the plot occurs at 12rad/s, what is the maximumdelay which can be added to the system before the closed loop would becomeunstable?

Answered: Image /qna-images/answer/f34daca4-fc56-4c1d-a2ce-ee09c669301b.jpg

Q5. Consider the Nyquist plot of the frequency response of the open-loop system 10000 G.(s) = (s + 1)(s+10)(s + 50) which is shown in Figure Q5 below. Imaginary Axis 0.5 Real Axis -08 0.5 -0.5 Figure Q5

Q5. Consider the Nyquist plot of the frequency response of the open-loop system 10000 G.(s) = (s + 1)(s+10)(s + 50) which is shown in Figure Q5 below. Imaginary Axis 0.5 Real Axis -08 0.5 -0.5 Figure Q5

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Speed of light

The speed at which the light travels in a vacuum is unbiased for both the source and inertial frame of reference of the observer. This was postulated by the physicist, Albert Einstein, by observing the theory of electromagnetism of Maxwell. Also, there was no evidence for the luminiferous aether, that is, the medium for the propagation of light where the electromagnetic field exists.

Question

Q5. Consider the Nyquist plot of the frequency response of the open-loop system
10000
G.(s)
(s+ 1)(s+10)(s + 50)
which is shown in Figure Q5 below.
Imaginary Axis
0.5
Real Axis
-08
-0.5
-0.5
Figure Q5
2
Tutorial 2: Frequency Response Analysis
(a) Write down the expression of the frequency response for this system, clearly
showing the overall gain.
(b) Is the corresponding closed-loop system with unity feedback gain stable or not?
Explain why.
(c) Determine the approximate value of the gain margin from Figure Q5. What is
the maximum value of an additional gain K for which the closed loop would still
be stable?
(d) Determine the approximate value of the phase margin from Figure Q5. Assuming
that the corresponding point on the plot occurs at 12rad/s, what is the maximum
delay which can be added to the system before the closed loop would become
unstable?

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