R(s) G(s) Y(s) FIGURE E5.11 Unity feedback system. E5.13 For the system with unity feedback shown in Figure E5.11, determine the steady-state error for a step and a ramp input when $G(s) = frac{20}{s^2 + 14s + 50}$ Answer: $e_{ss} = 0.71$ for a step and $e_{ss} = infty$ for a ramp.
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In this case, Kp can be found by evaluating the transfer function G(s) with s = 0: Kp = lim s->0 G(s) = 20 / (52 + 145 + 0) = 0.0714 Show more…
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