A unity feedback system is shown in Figure 2. We want the step response of the system to have an overshoot of less than 0.5B % and a settling time

(2% criterion) of about 4 seconds. (a) Let G,(s) = 1, design a suitable controller, G.(s), to achieve the dominant roots desired.Use MATLAB to simulate the response of the system to a unit step input and verify whether that your designed controller meets the above performance specifications