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Problem 2 (50 pts): Consider the unity-feedback system: R(2) E(z) Y(2) K G(2) 2 G(2) = is the transfer-function of the planta) (5 points) Find the closed-loop transfer-function Hyr(2). b) (5 points) Find the characteristic polynomial. c) (20 points)

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YCZ) R(2) (-1)(2-02) ZK Hyg(Z) = Y(2) R(z) (2-1)(2=0:2) It (Z-1)(2-02) ZK Hyght) = (Z-1) (Z-012) + Zk Characteristic ea ratioi -(k-112) Ir (k-112² - 461) 2012) <l 261) -(K-112) tv (k-112²_9.8 22 e hose k values accordingly, CSScanned with CamScanner

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