EE 429
EXAM II
23 April 1998
Name:
ID#:
DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO
Problem
Weight
Score
1
25
2
25
3
25
4
25
Total
100
This test consists of four problems. Answer each problem on the exam itself; if you use additional
paper, repeat the identifying information above, and staple it to the rest of your exam when you
hand it in. The quality of your analysis and evaluation is as important as your answers. Your
reasoning must be precise and clear; your complete
English sentences should convey what you are
doing.
For your convenience, a zTransform table is provided on page 10.
1
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View Full DocumentProblem 1:
(25 points)
A unitstep input
r
(
k
)=
u
o
(
k
) is applied to the discretetime control system in Figure 1.

+
Σ
Y(z)
R(z)
Plant
U(z)
z
z  1
21 z
z  2
Controller
Figure 1: Discretetime control system.
1. (5 points) Determine the transfer function
Y
(
z
)
/R
(
z
).
2. (5 points) Determine the input
u
(
k
) to the plant at
k
=0
.
3. (5 points) What is the value of
y
(
k
)as
k
approaches in±nity ?
4. (10 points) Find
y
(
k
) for
k
≥
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 Spring '08
 SCHIANO
 ZOH Plant

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