Let
in Figure P8.3.
a. Find the range of K for closed-loop stability.
b. Plot the root locus for K > 0.
c. Plot the root locus for K < 0.
d. Assuming a step input, what value of K will result in the smallest attainable settling time?
e. Calculate the system’s ess for a unit step input assuming the value of K obtained in Part d.
f. Make an approximate hand sketch of the unit step response of the system if K has the value obtained in Part d.
