Sketch the root locus for the unity feedback system shown

Chapter 8, Problem 12

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QUESTION:

Sketch the root locus for the unity feedback system shown in Figure P8.3, where

G(s) = \(\frac{K\left(s^2+2\right)}{(s+3)(s+4)}\)

Give the values for all critical points of interest. Is the system ever unstable? If so, for what range of K? [Section: 8.5]

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QUESTION:

Sketch the root locus for the unity feedback system shown in Figure P8.3, where

G(s) = \(\frac{K\left(s^2+2\right)}{(s+3)(s+4)}\)

Give the values for all critical points of interest. Is the system ever unstable? If so, for what range of K? [Section: 8.5]

ANSWER:

Step1 of 2

Root locus is defined as the locus of closed loop poles obtained when system gain  is varied from  to . Angle condition is used for checking whether certain points lie on root locus or not. For a point to lie on the root locus, the angle valuated at that point must be and odd multiple of .

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