National Instruments NI MATRIXx Xmath - Manual (Page 77)

Chapter 4 Frequency-Weighted Error Reduction
© National Instruments Corporation 4-7 Xmath Model Reduction Module
Matrix algebra shows that C(s) can be described through a left or right
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.
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
–
+
-