# Steadystateerror13 - Steady State Error QUESTION 13 For the system shown in Figure 13 with F s = K calculate the parameters K n and a s s a n such

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Steady State Error Q UESTION 13 For the system shown in Figure 13 with ( 29 ( 29 n K F s s s a = + , calculate the parameters K , n , and a such that the closed–loop system has 10% overshoot and e (∞) = 0.01 for unit ramp inputs. + - R(s) F(s) Y(s) E(s) Figure 13 ( 29 ( 29 ( 29 1 1 E s R s F s = + For finite steady–state error to ramp inputs, the system type is n = 1. The steady–state error is ( 29 ( 29 ( 29 ( 29 2 2 0 0 1 1 1 lim lim 0.01 1 s s s s a a e s s K s s s a K s K s s a + ∞ = = = = + + + + For 10% overshoot, 2 2 10 ln 100 0.5912 10 ln 100 ζ π - = = + . The closed–loop poles characteristic equation is

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## This note was uploaded on 02/01/2012 for the course MECH ENG 279 taught by Professor Landers during the Spring '11 term at Missouri S&T.

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Steadystateerror13 - Steady State Error QUESTION 13 For the system shown in Figure 13 with F s = K calculate the parameters K n and a s s a n such

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