MEEN 651
Control System Design
Homework 2: Modeling of ElectroMechanical Systems and Linearization
Assigned:
Tuesday, 9 Sept. 2007
Due:
Tuesday, 16 Sept. 2007, 5:00 pm
Problem 1)
For the electrical circuit shown below,
a.
Derive the governing equations (Hint: define I
1
and I
2
as the currents through
inductors L
1
and L
2
, respectively).
b.
Determine a state space representation.
Assume the outputs are V
R
and V
C2
.
Figure 1: Electrical circuit for Problem 1
Problem 2)
A graphic equalizer is an audio amplifier (filter) which allows you to select different
levels of amplification within different frequency regions. The following OP amp circuit
is an example of a circuit element in a graphic equalizer. Determine the transfer function
from the input voltage, to the output voltage.
v
i
OP amp 1
OP amp 2
OP amp 3
v
1
v
2
Figure 2: Electrical circuit for Problem 2
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View Full DocumentHint:
v
i
is applied to the first two OP amp circuits as a common input. Specify outputs of
OP amp 1 and OP amp2 as
v
1
and
v
2
and calculate these two outputs separately. Then
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 Fall '08
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 2 m, Op Amp Circuit

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