Experiment: We apply a step voltage u(t) = 5u,(t) and we observe the output voltage y(t) on an oscilloscope screen. We see that: the output voltage y(t) oscillates for about 5 [s] before settling down at a steady value of 5 [V] • During the (decaying) oscillations, y(t) reaches a maximum value of 8.65 [V] a) What is the circuit transfer function G(s)? In your answer, express the denominator of G(s)as a monic polynomial in descendent powers of “s"

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Plant Identification-Step Response of a Second-Order System
Consider the second-order circuit of Figure 2.
(1)n
y(t)
Figure 2: Second-Order Circuit
Experiment: We apply a step voltage u(t) = 5u, (t) and we observe the output voltage y(t) on an
oscilloscope screen. We see that:
the output voltage y(t) oscillates for about 5 [s] before settling down at a steady value of
5 [V]
During the (decaying) oscillations, y(t) reaches a maximum value of 8.65 [V]
a) What is the circuit transfer function G(s)? In your answer, express the
denominator of G(s)as a monic polynomial in descendent powers of “s"
Transcribed Image Text:Plant Identification-Step Response of a Second-Order System Consider the second-order circuit of Figure 2. (1)n y(t) Figure 2: Second-Order Circuit Experiment: We apply a step voltage u(t) = 5u, (t) and we observe the output voltage y(t) on an oscilloscope screen. We see that: the output voltage y(t) oscillates for about 5 [s] before settling down at a steady value of 5 [V] During the (decaying) oscillations, y(t) reaches a maximum value of 8.65 [V] a) What is the circuit transfer function G(s)? In your answer, express the denominator of G(s)as a monic polynomial in descendent powers of “s"
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Electrical Engineering homework question answer, step 1, image 1

Ctp=8.65 VC=5 Vut=5ustts=5 s

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