E5.10 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. . ≤ 5%.

2. Settling time Ts < 4 s.

3. Peak time Tp < 1 s.

Show the desired region for the poles of T s( ) in order to achieve the desired response. Use a 2% set

tling criterion to determine settling time.