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Modern control systems 13th edition
University: Dankook University
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open
−loop
closed−loop
y
Modern Control Systems 13th Edition Dorf SOLUTIONS MANUAL
Full clear download (no formatting errors) at:
https://testbankreal.com/download/modern-control-systems-13th-edition-dorf-
solutions-manual/
C H A P T E R
2
Mathematical Models
of
S
y
s
t
e
ms
Ex
e
r
ci
s
e
s
E2.1
We have for
the
o
p
e
n
-loo
p
y
=
r
2
and for
the
clo
s
e
d
-loo
p
e
= r
− y and y
=
e2
.
So, e
= r
− e2 and e2
+
e −
r =
0
.
40
35
30
25
20
15
10
5
0
0 1 2 3 4 5 6
r
FIGURE
E
2
.
1
P
l
o
t
of open-loop versus c
l
ose
d
-
l
oo
p
.
For example, if
r =
1,
then
e2
+
e − 1
=
0 implies
that
e
=
0.618.
T
hu
s
,
y
=
0.382. A
p
lo
t
y versus
r
is shown in Figure
E
2
.
1
.