Write a program in MATLAB for a unity feedback system with the forward-path transfer function given by [G(s)=frac{7(s+3)}{sleft(s^{2}+4 s+12 ight)}] (a) Draw a Nichols plot

Write a program in MATLAB for a unity feedback system with the forward-path transfer function given by

\[G(s)=\frac{7(s+3)}{s\left(s^{2}+4 s+12\right)}\]

(a) Draw a Nichols plot of an open-loop transfer function.

(b) The user can read the Nichols plot display and enter the value of $M_{p}$.

(c) Obtain the closed-loop magnitude and phase plots.

(d) Display the expected values of percent overshoot, settling time, and peak time.

(e) Plot the closed-loop step response.