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Control Systems

Basics on Gain Margin

The gain marg...

Question

The gain margin of a unity feedback control system with the open loop transfer function is
$G (s) = \frac{(s + 1)}{s^{2}}$

A

0

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B

\frac{1}{\sqrt{2}}

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C

\sqrt{2}

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D

\infty

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Solution

The correct option is D $\infty$

$- 1 + j 0$ is not enclosed, system is always stable.
$∴ G . M = \infty$

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