A second-order control system has the closed-loop transfer function T(s)=Y(s)/R(s). The system specifications for a step input follow:
1.Percent overshoot P.O.< or = 5%
2. Settling Time Ts < 4s
3. Peak time < 1s
Show the permissible area for the poles of T(s) in order to achieve the desired response. Use a 2% settling criterion to determine settling time.