(20 Points) (a) Find a minimal state space realization for the following discrete time transfer function G (1)(z) (z (2) 0 5z) (z (3) 2 2z (2) 1 52z 0 32) (b) Find a minimal state space realization for the following discrete time transfer function G (2)(z) (z (2) 0 4z 0 12) (z (2) 0 6z 0 4) (c) Using the answers of parts 1(a) and 1(b), find a minimal state space realization for the following discrete time closed loop system (a) Find a minimal state space realization for the following discrete time transfer function G1(z) z32 2z2 1 52z0 32z2 0 5z (b) Find a minimal state space realization for the following discrete time transfer function G2(z) z2 0 6z0 4z2 0 4z0 12 (c) Using the answers of parts 1(a) and 1(b), find a minimal state space realization for the following discrete time closed loop system

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Question: (20 Points) (a) Find a minimal state-space realization for the following discrete time transfer function G_(1)(z)=(z^(2)+0.5z)/(z^(3)-2.2z^(2)+1.52z-0.32) (b) Find a minimal state-space realization for the

(20 Points)\ (a) Find a minimal state-space realization for the following discrete time transfer function\

G_(1)(z)=(z^(2)+0.5z)/(z^(3)-2.2z^(2)+1.52z-0.32)

\ (b) Find a minimal state-space realization for the following discrete time transfer function\

G_(2)(z)=(z^(2)+0.4z-0.12)/(z^(2)+0.6z-0.4)

\ (c) Using the answers of parts 1(a) and 1(b), find a minimal state-space realization for the following\ discrete-time closed-loop system.

$(20 Points)\ (a) Find a minimal state-space realization for the following$

(a) Find a minimal state-space realization for the following discrete time transfer function G1(z)=z32.2z2+1.52z0.32z2+0.5z (b) Find a minimal state-space realization for the following discrete time transfer function G2(z)=z2+0.6z0.4z2+0.4z0.12 (c) Using the answers of parts 1(a) and 1(b), find a minimal state-space realization for the following discrete-time closed-loop system

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