(Solved): Problem 1 Design CT system from Bode plot. The graph on the right shows the desired frequency resp ...

Problem 1 Design CT system from Bode plot. The graph on the right shows the desired frequency response magnitude of a system \( H(s) \). (a) Determine the order of the system needed to achieve this \( |H(\omega)| \). (b) Destermine the system function \( H(s) \). Assume that all poles and zeros are in the left half of the s-plane. (c) Use Python or Matlab to generate and label the following plots for this system: (i) Unit impulse and unit step response for 4 seconds. (ii) Magnitude of frequency response in \( \mathrm{dB} \) on a \( \log _{10} \omega \) axis for \( \omega=0.1 \ldots 100 \mathrm{rad} / \mathrm{sec} \). (iii) Phase of frequency response in degrees on a \( \log _{10} \omega \) axis for \( \omega=0.1 \ldots 100 \mathrm{rad} / \mathrm{sec} \). (iv) Pole-zero plot showing all poles and zeros of \( H(s) \).