STUDENT ACTIVITY: A system has a transfer function G(s) 50 Make a function in Scilab that will calculate the Time constant, Te, Rise s+50 time, T, and Settling time, Tg.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter19: Probabilistic Dynamic Programming
Section19.4: Further Examples Of Probabilistic Dynamic Programming Formulations
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Scilab Applications


TIME RESPONSE
First-order system response

STUDENT ACTIVITY:
50
A system has a transfer function G(s) =
s+50
Make a function in Scilab that will calculate the Time constant, Te, Rise
time, T,, and Settling time, Tg.
Second-order systems
Undamped
G(s)
R(s) = =
C(s)
s2+9
Undamped
--> t=[0:0.005:10];
--> Us=ones(1, length(t));
--> G=syslin('c', 9, %s^2+9)
--> C=csim('step', t,G);
--> plot(t, uS, t, C);
--> xtitle('Unit Step Response - UNDAMPED', 't(sec)', 'amplitude')
--> xgrid(color('gray'));
--> legend('input', 'output');
Unit Step Response - UNDAMPED
input
1.8
output
1.6
1.4
1.2
1
0.8
0.6
0.4
0.2
1
2
4
6
8
10
t(sec)
amplitude
Transcribed Image Text:STUDENT ACTIVITY: 50 A system has a transfer function G(s) = s+50 Make a function in Scilab that will calculate the Time constant, Te, Rise time, T,, and Settling time, Tg. Second-order systems Undamped G(s) R(s) = = C(s) s2+9 Undamped --> t=[0:0.005:10]; --> Us=ones(1, length(t)); --> G=syslin('c', 9, %s^2+9) --> C=csim('step', t,G); --> plot(t, uS, t, C); --> xtitle('Unit Step Response - UNDAMPED', 't(sec)', 'amplitude') --> xgrid(color('gray')); --> legend('input', 'output'); Unit Step Response - UNDAMPED input 1.8 output 1.6 1.4 1.2 1 0.8 0.6 0.4 0.2 1 2 4 6 8 10 t(sec) amplitude
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