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

Topic: Stability Analysis in Frequency Domain

Difficulty : Medium

Marks : 5M

Given: $G(s)=\cfrac{12}{s(1+s)}$

Step 1

$\Longrightarrow $ We convert the transfer function to the frequency domain by replacing $s$ by $j\omega.$ $\therefore G(j\omega )=\cfrac { 12 }{ j\omega (1+j\omega ) }$ ------(1) Step 2 $\Longrightarrow $ Calculate magnitude and phase from equation (1). **Magnitude** $\Longrightarrow $ $|G(j\omega)|=\cfrac { 12 }{ \omega …