Figure P8.5 shows open-loop poles and zeros. There are two

Chapter 8, Problem 9

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QUESTION:

Figure P8.5 shows open-loop poles and zeros. There are two possibilities for the sketch of the root locus. Sketch each of the two possibilities. Be aware that only one can be the real locus for specific open-loop pole and zero values. [Section: 8.4]

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QUESTION:

Figure P8.5 shows open-loop poles and zeros. There are two possibilities for the sketch of the root locus. Sketch each of the two possibilities. Be aware that only one can be the real locus for specific open-loop pole and zero values. [Section: 8.4]

ANSWER:

Step 1 of 2

In the given root locus the number of pole is 3 and the number of branches is 3.

Consider that as per the pole zero plot there are two ways of root locus.

Consider the case 1, the single plot start with a pole from the left and the is terminated at zero at the left side of the pole. The other branches begins with the complex pole and are terminated at zero.

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