Page 228 - Distributed model predictive control for plant-wide systems

202 Distributed Model Predictive Control for Plant-Wide Systems

Network Controllers Building

y 1
MPC1
u 1
h 1 T 1 S 1
y 2
MPC2 u 2
h 2 T 2 S 2 S 7
y 3
MPC3
u 3
h 3 T 3 S 3
y 4
T 7
MPC4
u 4
h 4 T 4 S 4
y 5
MPC5
u 5
h 5 T 5 S 5
y 6
MPC6 u 6 h 7
h 6 T 6 S 6
y 7
MPC7
u 7

Figure 9.2 The multizone building temperature regulation system

The models of these seven subsystems are, respectively, given by

S ∶ x (k + 1)= 0.574x (k)+ 0.384u (k)
1
1
1
1
+ 0.029x (k)+ 0.057x (k)
7
2
S ∶ x (k + 1)= 0.535x (k)+ 0.372u (k)
2
2
2
2
+ 0.054x (k)+ 0.054x (k)+ 0.054x (k)
3
7
1
S ∶ x (k + 1)= 0.547x (k)+ 0.376u (k)
3
3
3
3
+ 0.055x (k)+ 0.055x (k)+ 0.055x (k)
2
7
4
S ∶ x (k + 1)= 0.606x (k)+ 0.394u (k)
4
4
4
4
+ 0.061x (k)+ 0.061x (k)+ 0.061x (k)
7
3
5