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(Solved): 1a The output of a control system is related to its input by [S^(4)+3S^(3)+4S^(2)+(5+K)S+2K]C(S)=K(S ...
1a The output of a control system is related to its input by
[S^(4)+3S^(3)+4S^(2)+(5+K)S+2K]C(S)=K(S+2)R(S)
Where K represents the positive gain of an amplifier.
(i) Determine whether the system is stable for K=2 when the input is a step input.
(ii) Determine the limiting value of K for which the system remains stable.