P5.4 The open-loop transfer function of a unity negative feedback system is K G(s) s(s + 2) A system response to a step input is specified as follows: peak time T, = 1.1 s, percent overshoot P.O. = 5%. (a) Determine whether both specifications can be met simultaneously. (b) If the specifications cannot be met simuitaneously, determine a compromise value for K so that the peak time and percent overshoot specifica- tions are relaxed the same percentage.
P5.4 The open-loop transfer function of a unity negative feedback system is K G(s) s(s + 2) A system response to a step input is specified as follows: peak time T, = 1.1 s, percent overshoot P.O. = 5%. (a) Determine whether both specifications can be met simultaneously. (b) If the specifications cannot be met simuitaneously, determine a compromise value for K so that the peak time and percent overshoot specifica- tions are relaxed the same percentage.
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Transcribed Image Text:P5.4 The open-loop transfer function of a unity negative
feedback system is
K
G(s) =
s(s + 2)'
A system response to a step input is specified as
follows:
peak time T, = 1.1 s,
percent overshoot P.O. = 5%.
(a) Determine whether both specifications can be met
simultaneously. (b) If the specifications cannot be met
simuitaneously, determine a compromise value for K
so that the peak time and percent overshoot specifica-
tions are relaxed the same percentage.
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