Consider a two-tank system, in which the output flow rate qo(t) is controlled by a motor which adjusts the input valve, i(t). The equations of motion describe the relationship 1. Motor and valve Valve Input signal Q,(s) Q,(8) Output flow between the input, the flow rates q1 (t) and q2(t), from the first and second tanks, respectively and the output flow rate, й () 42(t) ġo(t) = -390(t) + 42(t) -5q1 (t) + i(t) -2q2(t) + q1 (t) Presume all initial conditions are zero. (a) Find the transfer function for the system with input I(s) and output Qo(s).

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Consider a two-tank system, in which the output flow rate qo(t) is controlled by
a motor which adjusts the input valve, i(t). The equations of motion describe the relationship
1.
Motor and
valve
Valve
I()
Input
signal
Q,(s)
Q,(s)
Output
flow
between the input, the flow rates q1 (t) and q2(t), from the first and second tanks, respectively,
and the output flow rate,
41(t)
42(t)
ġo(t) = -3q0(t) + q2(t)
-5q1 (t) + i(t)
-2q2(t) + q1 (t)
Presume all initial conditions are zero.
(a) Find the transfer function for the system with input I(s) and output Qo(8).
Transcribed Image Text:Consider a two-tank system, in which the output flow rate qo(t) is controlled by a motor which adjusts the input valve, i(t). The equations of motion describe the relationship 1. Motor and valve Valve I() Input signal Q,(s) Q,(s) Output flow between the input, the flow rates q1 (t) and q2(t), from the first and second tanks, respectively, and the output flow rate, 41(t) 42(t) ġo(t) = -3q0(t) + q2(t) -5q1 (t) + i(t) -2q2(t) + q1 (t) Presume all initial conditions are zero. (a) Find the transfer function for the system with input I(s) and output Qo(8).
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