Consider the unity feedback system shown in Figure 3
a. Find the location of the dominant poles to yield a 1.6 second settling time and an overshoot of 25%. h. If a compensator with a zero at —1 is used to achieve the conditions of Part a, what must the angular contribution of the compensator pole be? c. Find the location of the compensator pole. d. Find the gain required to meet the requirements stated in Part a. e. Find the location of other closed-loop poles for the compensated system. f. Discuss the validity of your second-order approximation.