Specifications

modred
16-145
Next, the derivative of is set to zero and the resulting equation is solved for
. The reduced-order model is given by
The discrete-time case is treated similarly by setting
Limitations With the matched DC gain method, must be invertible in continuous time,
and must be invertible in discrete time.
See Also balreal Input/output balancing of state-space models
minreal Minimal state-space realizations
x
2
x
1
x
·
1
A
11
A
12
A
22
1–
A
21
–
[]
x
1
B
1
A
12
A
22
1–
B
2
–
[]
u+=
yC
1
C
2
A
22
1–
A
21
–
[]
xDC
2
A
22
1–
B
2
–
[]
u+=
x
2
n 1+
[]
x
2
n
[]
=
A
22
IA
22
–