CHBE 470 – Process Dynamics and Control – Fall 2007
Homework Set 5
Assigned:
Wednesday, October 17
Due:
Wednesday, October 24
Note:
Please staple your papers and include your name in the first page
Problem 1:
Consider the general closedloop block diagram with
c
G (s)
1.6
=
,
p
5
G(
s
)
(s 1)(2s 1)
=
++
,
fm
G (s)
G (s) 1
==
. Suppose that the system is subject to a set
point change in the input of magnitude 0.1. Determine:
a)
The maximum value of the response
b)
The offset
c)
The period of the oscillation
Problem 2:
Consult chapter 11 of the book for details on interacting 2
nd
order systems.
Consider the liquidlevel system of two noninteracting tanks with a proportional control
and linear resistances. It was found that when the steadystate inlet flow rate q (ft
3
/min) is
plotted against the steadystate liquid level in both tanks (h in ft), the slope of the line is 2
ft
2
/min. Both tanks have the same cross sectional areas of 2 ft
2
. The control valve was
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 Spring '09
 Smith
 1 inch, 5 G, 1 min, 0.5 m, 20 M

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