-10 (S-1) (a) The continuous plant G(s) = s+5 is controlled by adjusting a gain K. Here, the plant is coupled with sample and hold devices. Moreover, information of the output y is sent to the input r via a communication network, which is shared by other users and thus results in a delay of T seconds in the feedback process. The block-diagram for the control system is shown below y (t) y (KT) K ZOH G (s) + Network y (t-T) Delay Assuming that the sampling period is T = 0.1 s, answer the following questions. 7

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(a) The continuous plant G(s) =
-10 (S-1)
s+5
is controlled by adjusting a
gain K. Here, the plant is coupled with sample and hold devices. Moreover,
information of the output y is sent to the input r via a communication network,
which is shared by other users and thus results in a delay of T seconds in the
feedback process. The block-diagram for the control system is shown below
y (t) y (KT)
K
ZOH
G(s)
+
Network
y (t-T)
Delay
Assuming that the sampling period is T = 0.1 s, answer the following questions.
7
5.1 Here, the ZOH equivalent of G(s) is given as
GGzoh (2) (1-2¹)z -110 (S-1)-10z+10.79
-)2 {t" { 10 (4+5))}}
for T = 0.1
S
Z-0.6065
Determine the closed-loop transfer function Y(z)/R(z)
Transcribed Image Text:(a) The continuous plant G(s) = -10 (S-1) s+5 is controlled by adjusting a gain K. Here, the plant is coupled with sample and hold devices. Moreover, information of the output y is sent to the input r via a communication network, which is shared by other users and thus results in a delay of T seconds in the feedback process. The block-diagram for the control system is shown below y (t) y (KT) K ZOH G(s) + Network y (t-T) Delay Assuming that the sampling period is T = 0.1 s, answer the following questions. 7 5.1 Here, the ZOH equivalent of G(s) is given as GGzoh (2) (1-2¹)z -110 (S-1)-10z+10.79 -)2 {t" { 10 (4+5))}} for T = 0.1 S Z-0.6065 Determine the closed-loop transfer function Y(z)/R(z)
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