Q2) Consider the following feedback system outlined in Figure Q2 Plant R(s) 10 1 C(s) S+ 1 Ky Figure Q2 a} Derive the closed loop transfer function GRC(s). b} Calculate the value of Ky that will result in the closed loop system to have a maximum overshoot of 35% and a peak time of approximately 1 second. c) For the following systems assume zero initial conditions. Determine i) The peak overshoots. ii) Corresponding peak times iii) Decay rate characteristics.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Question
Q2)
Consider the following feedback system outlined in Figure Q2
Plant
R(s)
+
10
1
C(s)
S+ 1
K,
Figure Q2
a)
Derive the closed loop transfer function GRC (S).
b}
Calculate the value of Ky that will result in the closed loop system to have a
maximum overshoot of 35% and a peak time of approximately 1 second.
c)
For the following systems assume zero initial conditions. Determine
i) The peak overshoots.
ii) Corresponding peak times
iii) Decay rate characteristics.
Produce a sketch of the unit step response using the above values calculated.
Transcribed Image Text:Q2) Consider the following feedback system outlined in Figure Q2 Plant R(s) + 10 1 C(s) S+ 1 K, Figure Q2 a) Derive the closed loop transfer function GRC (S). b} Calculate the value of Ky that will result in the closed loop system to have a maximum overshoot of 35% and a peak time of approximately 1 second. c) For the following systems assume zero initial conditions. Determine i) The peak overshoots. ii) Corresponding peak times iii) Decay rate characteristics. Produce a sketch of the unit step response using the above values calculated.
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