1. Given the system below:
2. Given the system below:
Write a program in Matlab for the problem above that does the following (provide printouts of your code, root locus plot, damping ratio lines, and step response):
a- Display the root locus and pause (use command “rlocus”)
b- Display a close-up of the root locus where the axes go from -2 to 2 on the real axis and -2 to 2 on the imaginary axis (use the commands “subplot” and “axis”)
c- Overlay the 0.707 damping ratio line on the close-up root locus. (use command “sgrid”)
d- Allow yourself to select interactively the point where the root locus crosses the 0.707 damping ratio line and give yourself the gain at that point (use command “rlocfind”)
e- Generate the step response at the gain for 0.707 damping ratio (use command “step”)
Fig: 1
Fig: 2