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Chapter 4
Frequency-Weighted Error Reduction
© National Instruments Corporation
4-7
Matrix algebra shows that C(s) can be described through a left or right
matrix fraction description
matrix fraction description
with D
L
, and related values, all stable transfer function matrices.
In particular:
For matrix C(s), the left and right matrix fraction descriptions are distinct
entities. It is the right MFD which corresponds to Figure 4-1; refer to
Figure 4-2.
entities. It is the right MFD which corresponds to Figure 4-1; refer to
Figure 4-2.
Figure 4-2. C(s) Implemented to Display Right MFD Representation
C s
( )
D
L
1
–
s
( )N
L
s
( )
N
R
s
( )D
R
1
–
s
( )
=
=
D
L
I K
R
sI A
–
K
E
C
+
(
)
1
–
B
+
=
N
L
K
R
sI A
–
K
E
C
+
(
)
1
–
K
E
=
N
R
K
R
sI A
–
BK
R
+
(
)
1
–
K
E
=
D
R
I C sI A
–
BK
R
+
(
)
1
–
K
E
+
=
C s
( )
P s
( )
+
-
K
E
P s
( )
+
-
1
s
---
K
R
+
+
C
A
B
K
R
–
+
-