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Unformatted text preview: HW/CE# 3 Due beginning ofc1ass, Wed, March 3, 2010 1. Consider a system where: KL(s) = 2 K s(s + 1 Os"+ 125) Make a hand sketch showing the complete positive and negative root loci. Find the angles ofthe asymptotes for roots approaching zeroes at infinity and identify a. (the intersection of the asymptotes). Find the range of values ofK for stable performance. Find the value of positive K at which roots cross ~ver into the right halfplane and the values ofthe roots on the imaginary axis for this value of K. 11.1=0 ) 1: //"""TUzr) I~ :: z: l;)" ~ ") : 3,3'7 '.,. S 2} IS u'>t~Mes ~ ~/:u6 t II ~Oo / SD 3 ()o () ht.. ttL ) ) I ~ () ;)'1() ~/2L ) 0 ) 0 .1rrL (7~) :::. kL (.r) ~ ::. ? ~ I I I~ i.( ,,) s~+ lOs .f 12~S+Ac::: .,. I Z S o If) /~ o o o /0 o / 2. Turn in a MATLAB generated plot for the root locus. (This should be consistent with your hand sketch. You may submit one plot for the positive and a second plot for the negative root loci.) num=[l]; den=[1 10 1250];...
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 Spring '10
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