National Instruments Xmath - page 87

Chapter 4 Frequency-Weighted Error Reduction
© National Instruments Corporation 4-17 Xmath Model Reduction Module
to, for example,
through, for example, balanced truncation, and then defining:
For the second rationale, consider Figure 4-5.
Figure 4-5. Internal Structure of Controller
Recognize that the controller C(s) (shown within the hazy rectangle in
Figure 4 -5) can be constructed by implementing
and
and then applying an interconnection rule (connect the output of the second
transfer function matrix back to the input at point X in Figure 4-5).
Ers() KR
C
sI A
ˆ
–()KE
=
Cs() KRsI A
ˆ
–()
1–KEIC+sI A
ˆ
–()
1–KE
[]
1–
=
KRsI A
ˆ
–KEC+()
1–KE
=
K
E
Ps()
+
-1
s
---K
R
++
C
ABK
R
–
X
+
-
KRsI A BKR +–()
1–KE
CsI A BK
R
+–()
1–KE