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categoryالهندسة الكهربائية
schoolبكالوريوس
event_available2026-07-14
السؤال
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The stability of a system can be determined through evaluating the sign of terms in the first column of the Routh table. For a stable system, all poles
(roots of the denominator of the closed-loop transfer function T(s)) must be on the left half plane. The system is marginally stability if poles are on the
left half plane or on the jw-axis (with multiplicity one). If a system has any poles on the right half plane, the system is unstable.
Consider the system shown below.
R(s)
C(s)
G(s)
Here, G(s) =
45-33995+10
To evaluate the stability, we first need to find the closed loop transfer function T(s), where
R(s)
C(s)
T(s)
What is the expression for the denominator of the closed loop transfer function T(s)?
Denominator of T(s) = [[0]]
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To evaluate the stability of this system, we can calculate the Routh table. Fill in the column values into the following Routh table.
NOTE: Do not divide rows through by common factors for this question.
$3
0
ܐܨ
×
*
0
$1
×
0
0
0
0
Score: 0/2
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G(s) = 5/(s5-4s-s3-9s² - 9s+ 10)
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