Consider the system shown in Fig. P2.6:

(i) In the absence of derivative feedback \((a=0)\) determine the damping factor and natural frequency. Also determine the steady state error resulting from a unit ramp input.
(ii) Determine the derivative feedback constant \(a\) which will increase the damping factor of the system to 0.7 . What is the steady state error to unit ramp input with this setting of the derivative feedback constant.
(iii) Illustrate how the steady state error of the system with the derivative feedback to unit ramp can be reduced to the same value as in part (i) while the damping factor is maintained at 0.7 .

Transcribed Image Text:

R(S) 9 s(s+ 2) as C(s)