Mixed real and complex poles Sketch the root locus with respect to K for the equation 1+ KL(s) = 0 and the following choices for L(s). Be sure to give the asymptotes, arrival and departure angles at any complex zero or pole, and the frequency of any imaginary-axis crossing. After completing each hand sketch verify your results using MATLAB. Turn in your hand sketches and the MATLAB results on the same scales. (a) L(s) = (s+2) s(s+ 10) (s² + 2s + 2)
Mixed real and complex poles Sketch the root locus with respect to K for the equation 1+ KL(s) = 0 and the following choices for L(s). Be sure to give the asymptotes, arrival and departure angles at any complex zero or pole, and the frequency of any imaginary-axis crossing. After completing each hand sketch verify your results using MATLAB. Turn in your hand sketches and the MATLAB results on the same scales. (a) L(s) = (s+2) s(s+ 10) (s² + 2s + 2)
Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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
Transcribed Image Text:**Mixed Real and Complex Poles**
Sketch the root locus with respect to \( K \) for the equation \( 1 + KL(s) = 0 \) and the following choices for \( L(s) \). Be sure to give the asymptotes, arrival and departure angles at any complex zero or pole, and the frequency of any imaginary-axis crossing. After completing each hand sketch, verify your results using MATLAB. Turn in your hand sketches and the MATLAB results on the same scales.
(a) \( L(s) = \frac{(s+2)}{s(s+10)(s^2 + 2s + 2)} \)
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Step 1: Summarize the data.
VIEWStep 2: Determine the centroid.
VIEWStep 3: Determine the angle of asymptotes and root locus branches.
VIEWStep 4: Determine the imaginary axis crossing points.
VIEWStep 5: Determine the angle of departure at complex poles and break points.
VIEWStep 6: Sketch the root locus by hand.
VIEWStep 7: Sketch the root locus by using MATLAB.
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