P3.23 The two-tank system shown in Figure P3.23(a) O is controlled by a motor adjusting the input valve and ultimately varying the output flow rate. The system has the transfer function Qo(s) = G(s) = I(s) 1 g3 + 10s² + 29s + 20 for the block diagram shown in Figure P3.23(b) O. Obtain a state variable model. Motor and valve Valve I(s) Input signal Q,(s) Q2(s) Q.(s) Output flow (a) I(s) Input signal Q,(8) Output 1 Q,(8) 1 Q,(8) 1 flow s+5 s +1 s+4 (b)

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P3.23 The two-tank system shown in Figure P3.23(a) D is controlled by a
motor adjusting the input valve and ultimately varying the output flow rate.
The system has the transfer function
Qo(s)
I(s)
1
G(s) :
s3 + 10s? + 29s + 20
for the block diagram shown in Figure P3.23(b) O. Obtain a state variable
model.
Motor and
valve
Valve
I(s)
Input
signal
Q,(8)
Q2(8)
2,(s)
Output
flow
(a)
I(s)
Input
signal
Q,(8)
Output
flow
1
Q,(8)
1
Q2(8)
1
s +5
s +1
s+4
(b)
Transcribed Image Text:P3.23 The two-tank system shown in Figure P3.23(a) D is controlled by a motor adjusting the input valve and ultimately varying the output flow rate. The system has the transfer function Qo(s) I(s) 1 G(s) : s3 + 10s? + 29s + 20 for the block diagram shown in Figure P3.23(b) O. Obtain a state variable model. Motor and valve Valve I(s) Input signal Q,(8) Q2(8) 2,(s) Output flow (a) I(s) Input signal Q,(8) Output flow 1 Q,(8) 1 Q2(8) 1 s +5 s +1 s+4 (b)
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