Feedback & Control Systems - Time Response PLEASE ANSWER BASED ON THE 2ND PICTURE.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Feedback & Control Systems - Time Response

PLEASE ANSWER BASED ON THE 2ND PICTURE. ILL LIKE IT AFTER

a) T()= S
(s+3)(6+6)
zeros: une poles: 3,6
TUNCO
70
T(S) =
52495418
26W₁=9₁
W ₁² = 18, W₁=4₁243
= 9
210n
G=27= 1.061
2√18
S>1. overdamped
-time response:
Y(S) = 6(S)-X(S)
X(S) = unitstep
Y(s) = 5
s(s+3)(st6)
S
5+3 5+6₂
5
s(s+3)(576)
5 = A (S13) (S+6) +Bs(s+6)+cs(sta)
S=0; 5=1&A, A=5/18
S=-6: 5=180, C= 5/18
S=-3: 5=-9B, B=-5/g
Y(S) = 5/18 - 5/9 + 51/144
Stle
543
96) = -√³++
Transcribed Image Text:a) T()= S (s+3)(6+6) zeros: une poles: 3,6 TUNCO 70 T(S) = 52495418 26W₁=9₁ W ₁² = 18, W₁=4₁243 = 9 210n G=27= 1.061 2√18 S>1. overdamped -time response: Y(S) = 6(S)-X(S) X(S) = unitstep Y(s) = 5 s(s+3)(st6) S 5+3 5+6₂ 5 s(s+3)(576) 5 = A (S13) (S+6) +Bs(s+6)+cs(sta) S=0; 5=1&A, A=5/18 S=-6: 5=180, C= 5/18 S=-3: 5=-9B, B=-5/g Y(S) = 5/18 - 5/9 + 51/144 Stle 543 96) = -√³++
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