Question: Write a program in MATLAB for the system shown in Fig. P 3. 9 so that the value of $K$ can be input $(K=40)$. Fig.

Write a program in MATLAB for the system shown in Fig. P 3. 9 so that the value of $K$ can be input $(K=40)$.

R(s) + E(s) K(s +3) 2 s(s +4s +20) C(s)

Fig. P 3. 9

(a) Display the closed-loop magnitude and phase frequency response for unity feedback system with an open-loop transfer function, $K G(s)$.(b) Determine and display the peak magnitude, frequency of the peak magnitude, and bandwidth for the closed-loop frequency response for the input value of $K$.

R(s) + E(s) K(s +3) 2 s(s +4s +20) C(s)

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