Q.1/ Find the output response, c(t), for each of the systems shown in Figure 1. Also find the time constant, rise time, and settling time for each case. 5 C(s) s+5 (a) 20 C(s) s+20 (b) Figure 1 115 -1/5

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Tutorial Sheet No. 4 (Time domain analysis)
Q.1/ Find the output response, c(t), for each of the systems shown in Figure 1.
Also find the time constant, rise time, and settling time for each case.
C(s)
s+5
(а)
20
C(s)
s+20
(b)
Figure 1
Q.2/ For each of the second-order systems that follow, find 3, wn,
ts, tp, tr, and 0S% .
16
a. T(s)
s2
+ 3s + 16
0.04
b. T(s)
s2 +0.02s + 0.04
1.05 x 107
с. Т(s)
s2 +1.6 x 10s + 1.05 × 107
Figure 2
second-order system that yiel
0.3/ Find the transfer function of
overshoot and a settling time of 1 second.
a 12.3%
0.4/ For each pair of second-order system specifications that follow, find the
location of the second-order pair of poles.
a. %OS = 12%; Ty = 0.6 second
%3D
b. %OS = 10%; Tp = 5 seconds
c. T =7 seconds; Tp = 3 seconds
Transcribed Image Text:Tutorial Sheet No. 4 (Time domain analysis) Q.1/ Find the output response, c(t), for each of the systems shown in Figure 1. Also find the time constant, rise time, and settling time for each case. C(s) s+5 (а) 20 C(s) s+20 (b) Figure 1 Q.2/ For each of the second-order systems that follow, find 3, wn, ts, tp, tr, and 0S% . 16 a. T(s) s2 + 3s + 16 0.04 b. T(s) s2 +0.02s + 0.04 1.05 x 107 с. Т(s) s2 +1.6 x 10s + 1.05 × 107 Figure 2 second-order system that yiel 0.3/ Find the transfer function of overshoot and a settling time of 1 second. a 12.3% 0.4/ For each pair of second-order system specifications that follow, find the location of the second-order pair of poles. a. %OS = 12%; Ty = 0.6 second %3D b. %OS = 10%; Tp = 5 seconds c. T =7 seconds; Tp = 3 seconds
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