Question: Question 3 Consider the cascade configuration shown above find the value of K for which the cascade system is stable Solution Closed loop TF: T(s)

Question 3 Consider the cascade configuration shown above find the value of K for which the cascade system is stable Solution Closed loop TF: T(s) = Kc K (s+2) /[s-4 +K(s+2)(Kc+1)] = K(0.5s +1)/[ s-4 +1.5K(s=2)] Y(s) U(s) (S+2)/(s-4) Kc=0.5 K To ensure stability, the poles of the closed-loop transfer function ( T(s) ) must have negative real parts (i.e., must lie in the left-half of the complex plane)

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