Solution: Write a program in MATLAB that will do the

Chapter 10, Problem 22

(choose chapter or problem)

Write a program in MATLAB that will do the following:

a. Make a Nichols plot of an open-loop transfer function

b. Allow the user to read the Nichols plot display and enter the value of \(M_p\)

c. Make 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

Test your program on a unity feedback system with the forward-path transfer function

\(G(s)=\frac{5(s+6)}{s\left(s^{2}+4 s+15\right)}\)

and explain any discrepancies.