A. Compute the state equations for the discrete-time closed-loop system. Notice that the input is u(k). B. Compute the closed-loop system transfer function H(z) = Y(z)/U(z).

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Consider the open-loop system of the following figure, in which the continuous-time plant transfer
function G₂ (s) =
and sampling time T = 0.5 s.
U(s)
2
s(s+2)
+
E(s) E*(s)
T
ZOH
Gp(s)
Y(s)
A.
Compute the state equations for the discrete-time closed-loop system. Notice that the input is u(k).
B. Compute the closed-loop system transfer function H(z) = Y(z)/U(z).
Transcribed Image Text:Consider the open-loop system of the following figure, in which the continuous-time plant transfer function G₂ (s) = and sampling time T = 0.5 s. U(s) 2 s(s+2) + E(s) E*(s) T ZOH Gp(s) Y(s) A. Compute the state equations for the discrete-time closed-loop system. Notice that the input is u(k). B. Compute the closed-loop system transfer function H(z) = Y(z)/U(z).
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