Repeat Problem 32 using MATLAB. Use one program to do the following:
a. Display a root locus and pause.
b. Draw a close-up of the root locus where the axes go from -2 to 0 on the real axis and -2 to 2 on the imaginary axis.
c. Overlay the 10% overshoot line on the close-up root locus.
d. Select interactively the point where the root locus crosses the 10% overshoot line, and respond with the gain at that point as well as all of the closed-loop poles at that gain.
e. Generate the step response at the gain for 10% overshoot.
Data From Problem 32:
For the unity feedback system shown in Figure 8.3, where
do the following:
a. Sketch the root locus.
b. Find the value of K that will yield a 10% overshoot.
c. Locate all nondominant poles. What can you say about the second order approximation that led to your answer in Part b?
d. Find the range of K that yields a stable system.
