In general a thirdorder system can be approximated by a seco

In general, a third-order system can be approximated by a second-order system\'s dominant squareroot s if the real part of the dominant squareroot s is less than 1/10 of the real part of the third squareroot . the number of zeros of the forward path transfer function at the origin is called the type number. The rise time is defined as the time required for the system for the system to settle a certain percentage of the input amplitude for a second-order system with no zeros, the percent overshoot to a unit step is a function of the damping ratio only. A type-1 system has a zero steady-state tracking error to a ramp input. The following 2 questions refer to the feedback diagram: Consider a loop transfer function G_c(s)G(s) = 6/(s(s+3)) Find the percent overshoot of the output to a unit step input. Find the steady-state error to a unit step input. 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: Percent overshoot P.O lessthanorequalto 5%. Settling time T_s

Solution

(1)

(1) False

(2) True

(3) True

(4) False

(5) True