ME365
PRELABEXPERIMENT 6
Fall 2010
SYSTEM IDENTIFICATION
In Lab 6, you will be examining time and frequency domain techniques for identifying
systems by studying the properties of an RLC circuit. Prior to completing this prelab, you will need
to read Chapter 6 in the course notes.
The RLC circuit being studied in this lab is given in Figure 1 below.
R
L
C
V
in
(t)
V
out
(t)
Figure 1.
RLC circuit.
1.
The RLC circuit exhibits primarily second order behavior.
Derive the equation for V
out
/V
in
in
terms of R, L, and C. Compare your expression to the following form to obtain K, ω
n
, and ζ
for the circuit in terms of R, L, and C. K, ω
n
, and ζ are the sensitivity, natural frequency, and
damping ratio of the system respectively.
2
12
out
in
nn
VK
V
j
(Hint: The complex resistances are: Resistor R, Inductor jωL, Capacitor 1/(jωC). Use these
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 Spring '08
 Staff
 RLC, 2J

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