hw4_sol - EML 4312 Fall 2007 Root Locus, Continued Fraction...

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EML 4312 Fall 2007 Root Locus, Continued Fraction Expansion, MC/AC, Graphical Methods The due date for this assignment is Friday 10/12. For all the problems assume a cannonical feedback loop with a proportional controller. 1. Draw the root locus for the following open-loop transfer functions (a) (5 points) H s s 2 s 1 2 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 Root Locus Real Axis Imaginary Axis (b) (5 points) H s s 1 s 2 -2.5 -2 -1.5 -1 -0.5 0 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 Root Locus Real A xis (c) (5 points) H s 1 s 1  s 2  s 3
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-8 -7 -6 -5 -4 -3 -2 -1 0 1 -5 -4 -3 -2 -1 0 1 2 3 4 5 Root Locus Real Axis Imaginary Axis (d) (5 points) H s 5 s 1  s 3 -3 -2.5 -2 -1.5 -1 -0.5 0 -1.5 -1 -0.5 0 0.5 1 1.5 Root Locus Real A xis 2. (10 points) For the Open-Loop Transfer Functions above, use continued fraction expansion to kind values of k that make the system stable (if any). a) Δ s 2 2 s 1 k s 2 s 2 1 2 k 2 k s 1
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This note was uploaded on 03/18/2008 for the course EML 4312 taught by Professor Dixon during the Fall '07 term at University of Florida.

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hw4_sol - EML 4312 Fall 2007 Root Locus, Continued Fraction...

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