Image Processing Reference
In-Depth Information
Design a linear state feedback for this system. Choose the desired closed-loop
poles for deadbeat control.
5.8
Consider the system de
ned by
x
(
k
þ
) ¼
Ax
(
k
) þ
Bu
(
k
)
y
(
k
) ¼
Cx
(
k
)
1
where
2
4
3
5
,
2
4
3
5
,
0
1
0
0
0
1
A
¼
0
0
1
B
¼
C
¼
½
100
0
:
10
:
25
0
:
4
Design a full-order state observer. The desired eigenvalues for the observer
matrix are
l
1
¼ l
2
¼
2
l
3
¼
0
:
2
5.9
Consider the system de
ned by
x
(
k
þ
) ¼
Ax
(
k
) þ
Bu
(
k
)
y
(
k
) ¼
Cx
(
k
)
1
where
2
4
3
5
, B
¼
2
4
3
5
, C
¼
0
1
0
0
0
1
A
¼
0
0
1
½
100
0
:
10
:
25
0
:
4
Design a reduced-order state observer. The desired eigenvalues for the
reduced-order observer matrix are
l
1
¼ l
2
¼
0
:
1
5.10
Consider the system
x
(
k
þ
) ¼
Ax
(
k
) þ
Bu
(
k
)
y
(
k
) ¼
Cx
(
k
)
1
where
2
3
2
3
0
1
0
1
0
1
001
100
4
5
, B
¼
4
5
, C
¼
A
¼
0
0
1
0
:
10
:
25
0
:
4
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