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Fig. 1.
The relationship between inputs and outputs of Ultra-supercritical unit
system can be expressed as the following form:
Y
k
+1
|k
=
Y
k
+1
|k−
1
+
AΔU
k
(1)
For different step response models, the Dynamic matrix A is different.
The predicted output is
k
)]
T
mP×
1
.
Y
M
(
k
)=[
y
M
(
k
+1
|
k
)
, y
M
(
k
+2
|
k
)
,..., y
M
(
k
+
P
|
∈
(2)
Zero input response vector is
k
)]
T
mP
×
1
.
Y
0
(
k
)=[
y
0
(
k
+1
|
k
)
, y
0
(
k
+2
|
k
)
,..., y
0
(
k
+
P
|
∈
(3)
Incremental control vector is
k
)]
T
nM×
1
.
ΔU
(
k
)=[
Δu
(
k
|
k
)
,Δu
(
k
+1
|
k
)
,...,Δu
(
k
+
M
−
1
|
∈
(4)
Dynamic matrix A is defined as
⎛
⎞
A
(1)
···
0
⎝
.
⎠
.
.
.
A
(
M
)
A
(1)
mP×nM
.
A
=
···
∈
(5)
.
.
A
(
P
)
A
(
P−M
+1)
···
The K moment dynamic matrix
(
k
)
is defined as
⎛
⎞
a
(
k
)
1
,
1
a
(
k
)
a
(
k
)
n,
1
2
,
1
···
⎝
⎠
a
(
k
)
1
,
2
a
(
k
)
a
(
k
)
n,
2
···
2
,
2
A
(
k
)
=
m×n
.
∈
(6)
.
.
.
.
.
.
a
(
k
)
1
,m
a
(
k
)
a
(
k
)
···
n,m
2
,m
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