can you explain the steps how you get the correct answer 15. The figure below on

Question

can you explain the steps how you get the correct answer

15. The figure below on the left. labeled "Original" shows a root locus plot for a system t two open-loop zeros and two open-loop poles. Original Choice A Choice EB new new 0 The two plots on the right side have for the addition of one "new" open-loop pole and one "new" open-loop Among Choices A and B, one is a correct root locus plot; the other is incorrect. Which one is correct? the same open-loop poles and zeros as the original, except A. I know that Choice A is correct (Please be honest.) B. I know that Choice B is correct (Please be honest.) C. I'm not sure which is correct (Please be honest.)

Explanation / Answer

The root locus of the originalsystem says that the locus lie of verge of instability.

in the root locus of figure A a compensator is added so that the locus is in the left half s-plane . that is the compensator ha pulled the locus in the stable region. so this choice is correct

in figure B the locus is on the right half s plane which indicated unstable configuration

normally we will design a compensator to make an unstable system stable by varying gain or location of pole or location of zero or combination of these

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