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Construct the bode plot for the following Transfer function. Comment on stability. G(s).H(s) = $\frac{10}{s(s+1)(s+5)}$ .

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

Topic: Stability Analysis in Frequency Domain

Difficulty : High

Marks : 10M

1 Answer
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Given $\Longrightarrow G(s)\cdot H(s)=\cfrac { 10 }{ s(s+1)(s+5) }$

Step 1$\Longrightarrow$ First bring the given G(s) into standard time constant form.

$G(s)\cdot H(s)=\cfrac { 10 }{ s(s+1)5\left( 1+\cfrac { s }{ 5 } \right) } $

$G(s)\cdot H(s)=\cfrac { 2 }{ s(s+1)\left( 1+\cfrac { s }{ 5 } \right) } …

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