Q2: The forward-loop transfer function of a unity feedback system is given by: 1 G(s) = (s2 + 4s + 3)(s² + 4s + 5) Do the following: 1. Draw the root-loci and determine the operating damping ratio and natural frequency. 2. Design a PI controller assuming a unit-ramp input. Then, determine the percentage of the error improvement. 3. Discuss the results.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter12: Power System Controls
Section: Chapter Questions
Problem 12.3P
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Q2: The forward-loop transfer function of a unity feedback system is given by:
1
G(s) =
(s2 + 4s + 3)(s² + 4s + 5)
Do the following:
1. Draw the root-loci and determine the operating damping ratio and natural frequency.
2. Design a PI controller assuming a unit-ramp input. Then, determine the percentage of the error
improvement.
3. Discuss the results.
Transcribed Image Text:Q2: The forward-loop transfer function of a unity feedback system is given by: 1 G(s) = (s2 + 4s + 3)(s² + 4s + 5) Do the following: 1. Draw the root-loci and determine the operating damping ratio and natural frequency. 2. Design a PI controller assuming a unit-ramp input. Then, determine the percentage of the error improvement. 3. Discuss the results.
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