Use MATLAB to plot the root locus of G (s)= s+4/s 2 +6s+13 H(s) = 1 Provide the commands you used and a copy of root locus figure.

Use MATLAB to plot the root locus of

G (s)= s+4/s2+6s+13

H(s) = 1

Provide the commands you used and a copy of root locus figure. Also calculate the angles that the root locus leaves the complex poles. Use sgrid to plot (zeta) lines of 0.7, 0.8, 0.9, and 0.99 and w_n circles of 2, 4, and 6. Provide command and plot of root locus with sgrid. Click on the root locus to determine the gain (K) where (zeta) = 0.9 and (zeta) = 0.99 intersect the root locus. Simulate the closed-loop system in Simulink with both gain values. Provide a screen shot of the Simulink model and the plot for both gain values. How did the system response change when the gain was changed?