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Name ______________________________
Revised 12/16/2005
ECE 580 FEEDBACK SYSTEMS (I)
Fall 2011
Final Exam
Tuesday, December 12, 2011
Instructions
The exam is open book and notes. No electronic devices of any kind (including calculators) can be
used during the exam. Questions are to be answered on the exam.
There are ten questions with the indicated values.
Problem #1:
_______
2:
_______
3:
_______
4:
_______
5:
_______
6:
_______
7:
_______
8:
_______
9:
_______
10: _______
Total: _______
Consistent with the ECE Honor Code, you are asked to read the following voluntary statement
carefully and sign it before beginning your work in each exam booklet:
I have not given or received unauthorized aid on this exam.
____________________________________
__________________
Signature
Date
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View Full Document Figure 1
Questions 1 through 7 address the unity feedback system shown in Figure 1. The
bode plot of the plant transfer function
G s
( )
is shown in Figure 2.
Figure 2
Problem 1:
(15 points) Assume the compensator is
D s
( )
=
1
. Find the position constant
K
p
, the
velocity constant
K
v
, and the acceleration constant
K
a
of the closedloop system.
The loop Bode magnitude plot Figure 2 has a lowfrequency asymptotic slope of –20
db/dec which indicates 1 pole at the origin. Thus, the posotion constant is infinity
and the acceleration constant is zero. The velocity constant is found from the low
frequency asymptote at 1 r/s: 0.6. Then
K
v
=
1
0.6
=
2.5
K
p
=
!
K
v
=
2.5
K
a
=
0
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View Full DocumentProblem 2:
(10 points) Assume the compensator consists of a single integrator element
D s
( )
=
K
I
s
Can the system be Type 2 with respect to references? If not, why?
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This document was uploaded on 02/22/2012.
 Fall '09

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