Assignment #22 – p.1
ECSE-2410 Signals & Systems - Spring 2009
Due Tue 04/21/09
1(20).
Find the closed loop system
transfer function,
)
(
)
(
s
X
s
Y
, expressed
in terms of transfer functions
.
)
(
),
(
),
(
),
(
s
D
s
C
s
B
s
A
2(45).
In each case, sketch the root locus plots (
K
>
0
) for the following open loop transfer functions for
unity feedback systems.
Find the following, if they exist.
Breakaway points and points of re-entry.
Direction of travel of the roots as
K
varies from 0 to infinity.
All asymptotes, asymptote angles and
asymptote locations (centroids).
Any
j
ω
-axis crossings.
(a)
2
1
)
(
s
s
s
G
+
=
(b)
)
1
(
1
)
(
2
+
+
=
s
s
s
s
G
(c)
3
2
)
1
(
)
(
s
s
s
G
+
=
3(15). The proportional-plus-integtral (PI) controller shown is used to improve the steady-state error

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