A feedback control system has a characteristic equation 5 3 + (1 + K)s2 + 105 +( 5 +

Chapter 0, Problem P6.11

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A feedback control system has a characteristic equation 5 3 + (1 + K)s2 + 105 +( 5 + 15K) = 0. The parameter K must be positive. What is the maximum value K can assume before the system becomes unstable? When K is equal to the maximum value, the system oscillates. Determine the frequency of oscillation.

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