14. Bode Plot of G = 104 (S + 1)2 / (S + 100)2




The transfer function is rewritten as: \[\begin{aligned} G &= 10^4\cdot (s+1)\cdot (s+1) \cdot \frac{1}{100\left(\dfrac{s}{100}+1\right)} \cdot \frac{1}{100\left(\dfrac{s}{100}+1\right)} \\ &= (s+1)\cdot (s+1) \cdot \frac{1}{\left(0.01s+1\right)} \cdot \frac{1}{\left(0.01s+1\right)} \end{aligned}\]

Transfer function Gain Plot Phase Plot
(slope of \(\pm1\))
Zero, of the form: \(\left(\frac{s}{z}+1 \right)\)
Pole, of the form: \(\frac{1}{\left(\dfrac{s}{p}+1\right)}\)