Multiple choice

For the asymptotic Bode magnitude plot shown below, the system transfer function can be

  1. $$ \dfrac{10s+1}{0.1s + 1} $$
  2. $$ \dfrac{100s+1}{0.1s + 1} $$
  3. $$ \dfrac{100s}{10s + 1} $$
  4. $$ \dfrac{0.1s+1}{10s + 1} $$
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A Correct answer
Explanation

Here by using figure

K = 1, w1 = .1 rad/s w2 = 10 rad/s

H(s) = K (1 + s/w1)/(1 + s/w2) = 1(1 + s/.1)/(1 + s/10) = (1 + 10s)/(1 + .1s)

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