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Fig. 3.
Input-output relationship of the thermal power units
can be similar to linear model..The input-output step response relationship can
be expressed as the following form:
Y
k
+1
|k
=
Y
k
+1
|k−
1
+
AΔU
k
(1)
in which, the model prediction output is:
k
)]
T
mP×
1
.
Y
M
(
k
)=[
y
M
(
k
+1
|
k
)
, y
M
(
k
+2
|
k
)
,..., y
M
(
k
+
P
|
∈
(2)
The 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)
And the control incremental vector is:
k
)]
T
nM×
1
.
ΔU
(
k
)=[
Δu
(
k
|
k
)
,Δu
(
k
+1
|
k
)
,...,Δu
(
k
+
M
−
1
|
∈
(4)
The dynamic matrix A can be defined as:
⎛
⎞
A
(1)
···
0
⎝
.
⎠
.
.
.
A
(
M
)
A
(1)
mP×nM
.
A
=
···
∈
(5)
.
.
A
(
P
)
A
(
P−M
+1)
···
The process of predictive control accomplishing constrained rolling optimization
is
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