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Unformatted text preview: stability is that all of the coefficients must have the same sign. Since only positive values for K are considered, the closed–loop system is stable for K > 0. The closed–loop system is overdamped for all K . The 2% settling time decreases as K increases and approaches 4/4 s as K approaches ∞. For r ( t ) = 5, Compensators The steady state output is 4.46. The 2% bounds for the output are 4.37 and 4.55. The output reaches 4.37 and stays within the bounds at 0.412 s. Therefore, the graphically determined 2% settling time is 0.412 s. The percent overshoot is 0% since the response is overdamped. The Root Locus Diagram and simulation plots are given below. 5 3.5 4 4.5 5 5.5 time (s) r y 5 0.4 0.6 0.8 1 time (s) e(t)86421 1 Real Axis Imaginary Axis...
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 Spring '11
 LANDERS
 Complex number, Root Locus Diagram

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