The following transfer function is not written in a standard form: 2(s + 0.5) G(s) = (s + 2)(2s + 1) e -5s (a) Put it in standard gain/time constant form. (b) Determine the gain, poles and zeros. (c) If the time-delay term is replaced by a 1/1 Pade approximation, repeat part (b). (d) Based on the result of (c), draw the dynamic curve of y(t) with a unit step input qualitatively.
The following transfer function is not written in a standard form: 2(s + 0.5) G(s) = (s + 2)(2s + 1) e -5s (a) Put it in standard gain/time constant form. (b) Determine the gain, poles and zeros. (c) If the time-delay term is replaced by a 1/1 Pade approximation, repeat part (b). (d) Based on the result of (c), draw the dynamic curve of y(t) with a unit step input qualitatively.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![The following transfer function is not written in a standard form:
\[ G(s) = \frac{2(s + 0.5)}{(s + 2)(2s + 1)} e^{-5s} \]
(a) Put it in standard gain/time constant form.
(b) Determine the gain, poles, and zeros.
(c) If the time-delay term is replaced by a 1/1 Pade approximation, repeat part (b).
(d) Based on the result of (c), draw the dynamic curve of \( y(t) \) with a unit step input qualitatively.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ef5005f-99e9-4e7d-9469-054276644387%2Fabb0360f-4d0e-48a1-b7a6-5f98481f36a7%2F4ivqda2_processed.png&w=3840&q=75)
Transcribed Image Text:The following transfer function is not written in a standard form:
\[ G(s) = \frac{2(s + 0.5)}{(s + 2)(2s + 1)} e^{-5s} \]
(a) Put it in standard gain/time constant form.
(b) Determine the gain, poles, and zeros.
(c) If the time-delay term is replaced by a 1/1 Pade approximation, repeat part (b).
(d) Based on the result of (c), draw the dynamic curve of \( y(t) \) with a unit step input qualitatively.
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