problem_11_18 - Problem 11.18 of the Palm textbook Plant...

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Unformatted text preview: Problem 11.18 of the Palm textbook Plant TF: G P s ( 29 = + 10 2 + 5 + 6 Sketch the root locus. Determine the smallest damping ratio possible for positive values of proportional gain K. Determine the value of proportional gain K that is required to minimize the dominant time constant with = 0.707, and determine this time constant. SOLUTION Closed-loop characteristic equation: = 1 + + 10 2 + 5 + 6 = 1 + ( 29 ( 29 OR D CL s ( 29 = ( 29 + ( 29 = 2 + 5 + 6 + + 10 ( 29 = 2 + 5 + ( 29 + 6 + 10 1. Number of branches : max N P , N Z { } = 2,1 { } = 2. Start/end points : OL zeros : z 1 = -10 1 = -2, 2 = -3, Therefore, the RL START at poles p 1 , p 2 . One RL branch ENDS at z 1 , and one RL branch ends at ....
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This note was uploaded on 12/23/2011 for the course ME 375 taught by Professor Meckle during the Fall '10 term at Purdue University-West Lafayette.

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problem_11_18 - Problem 11.18 of the Palm textbook Plant...

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