Question: Consider the following equation where the parameter K is nonnegative. (2s + 5)(2s2 + 14s + 49) + Ks (2s +1)(2s + 3) = 0

Consider the following equation where the parameter K is nonnegative.
(2s + 5)(2s2 + 14s + 49) + Ks (2s +1)(2s + 3) = 0
Determine the poles and zeros, and sketch the root locus plot.
Use the plot to set the value of K required to give a dominant time constant of ( = 0.5. Obtain the three roots corresponding to this value of K.

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a The root locus equation is The poles are s 25 and 35 35j The zeros are s 0 05 and ... View full answer

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