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Construct Route array and determine the stability of the system whose characteristic equation is :

$s^6 + 2s^5 + 8s^4 + 12s^3 + 20s^2 + 16s + 16 = 0$

Mumbai University > Electronics Engineering > Sem 4 > Linear Control Systems

Topic: Stability Analysis in Time Domain

Difficulty : High

Marks : 10M

1 Answer
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Given,

$s^6 + 2s^5 +8s^4 + 12s^3 + 20s^2 + 16s + 16$ = 0

$s^6$ 1 8 20 16
$s^5$ 2 12 16 0
$s^4$ 2 12 16 0
$s^3$ 0 0 0 0

$s^3$ row is zero

Auxillary equation using $s^4$ is given by,

A(s) = 2$s^4$ + …

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