Question: A feedback control system has a characteristic equation s 3 + ( 1 + K ) s 2 + 1 0 s + ( 5

A feedback control system has a characteristic equation
s3+(1+K)s2+10s+(5+15K)=0
For physical reasons, the parameter K must be positive.
a.Find the range of K to make the system stable.
b.When the K assumes the maximum value found in the part a.,the system oscillates. Determine the frequency of oscillation. (Hint: determine the location of the poles)

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