Question

Manually plot the unit step response of the following system Please include detailed step. 3. to you best knowledge. G(s)- Hint: You can use partial fraction expansion and inverse Laplace Transfer to find the unit step response. Please note that there is no damping term in this system and the system will oscillate at a constant maximum magnitude without decaying.

Answer 1

CANG) CANS) C G15) - G (S) = - - let y(S) - G(S) R(5) : for unit slep R (5) - 19 • Y15) * Stay I Pasntial foraction Y(5) - Ś S (S) Invesse Laplace YCP) : 1- Cost

calculated y values for variation of t from 0 to 20 seconds

t	Y
0	0
0.5	0.1224
1	0.4597
1.5	0.9293
2	1.4161
2.5	1.8011
3	1.99
3.5	1.9365
4	1.6536
4.5	1.2108
5	0.7163
5.5	0.2913
6	0.0398
6.5	0.0234
7	0.2461
7.5	0.6534
8	1.1455
8.5	1.602
9	1.9111
9.5	1.9972
10	1.8391
10.5	1.4755
11	0.9956
11.5	0.5167
12	0.1561
12.5	0.0022
13	0.0926
13.5	0.4051
14	0.8633
14.5	1.3549
15	1.7597
15.5	1.9785
16	1.9577
16.5	1.7024
17	1.2752
17.5	0.7806
18	0.3397
18.5	0.0605
19	0.0113
19.5	0.2042
20	0.5919

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10 2 4 6 8 0 12 14 16 18 20

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