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Control Systems

Special Cases-1

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Question

The system represented by the transfer function

$G (s) = \frac{s^{2} + 10 s + 24}{s^{4} + 6 s^{3} - 39 s^{2} + 19 s + 84}$

has pole(s) in the right-half of s-plane.

A

1

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B

3

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C

4

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D

2

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Solution

The correct option is D 2
Characteristic equation:

$s^{4} + 6 s^{3} - 39 s^{2} + 19 s + 84 = 0$

Routh Hurwitz Criteria:

$∵$ Two sign changes in first column.

$∴$ Two poles in the right-half of s-plane.

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