HWCE_3 - (This should be consistent with your hand sketch....

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HW/CE# 3 Due beginning of class, Wed, March 3, 2010 1. Consider a system where: ) 125 10 ( ) ( 2 + + = s s s K s KL Make a hand sketch showing the complete positive and negative root loci. Find the angles of the asymptotes for roots approaching zeroes at infinity and identify α (the intersection of the asymptotes). Find the range of values of K for stable performance. Find the value of positive K at which roots cross over into the right half plane and the values of the roots on the imaginary axis for this value of K. 2. Turn in a MATLAB generated plot for the root locus.
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Unformatted text preview: (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.) 3. Turn in a MATLAB generated Bode plot for: ) 125 10 ( ) ( 2 + + = s s s K s KL where K is set to the positive value determined in problem 1. at which roots cross over into the right half plane, i.e., roots on the imaginary axis. Estimate from your Bode plot the frequency at which the magnitude of the response is 1.0 (0 dB) and the angle of the response is -180 o ....
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