Page 23 - Distributed model predictive control for plant-wide systems

List of Figures xxi

Figure 7.13 Structure of a walking beam reheating furnace 157
Figure 7.14 Furnace temperature and fuel feed flow for each zone 158
Figure 8.1 The interaction relationship among subsystems 184
Figure 8.2 The evolution of the states under the LCO-DMPC 185
Figure 8.3 The evolution of the control inputs under the LCO-DMPC 186
Figure 8.4 The evolution of the states under the centralized MPC 186
Figure 8.5 The evolution of the control inputs under the centralized MPC 187
Figure 9.1 Schematic of the discrepancy among feasible state sequence and
presumed state sequence 196
Figure 9.2 The multizones building temperature regulation system 202
Figure 9.3 The evolution of the states under the centralized MPC, LCO-DMPC,
and C-DMPC 204
Figure 9.4 The evolution of the inputs under the centralized MPC, LCO-DMPC,
and C-DMPC 205
Figure 9.5 Differences of the absolute value of the state and inputs of each
subsystem between under the control of LCO-DMPC and under the
control of centralized MPC, and between under the control of C-DMPC
and under the control centralized DMPC 206
Figure 9.6 The difference between the input of each subsystem produced by the
LCO-DMPC and the input of each subsystem calculated by the central-
ized MPC, and between the input of each subsystem produced by the
C-DMPC and the input of each subsystem calculated by the centralized
MPC 207
Figure 10.1 The interaction relationship among subsystems 229
Figure 10.2 The evolution of the states under the N-DMPC 231
Figure 10.3 The evolution of the control inputs under the N-DMPC 232
Figure 10.4 The evolution of the states under the centralized MPC 232
Figure 10.5 The evolution of the control inputs under the centralized MPC 233
Figure 10.6 The evolution of the states under the LCO-DMPC 233
Figure 10.7 The evolution of the control inputs under the LCO-DMPC 233
Figure 10.8 The errors between the absolute value of the state of each subsystem
under the centralized MPC and the absolute value of the state of each
subsystem under the N-DMPC 234
Figure 10.9 The difference between the input of each subsystem produced by the
centralized MPC and the input of each subsystem calculated by the
N-DMPC 234
Figure 10.10 The errors between the absolute value of the state of each subsystem
under the local cost optimization based DMPC and the absolute value of
the state of each subsystem under the N-DMPC 234
Figure 10.11 The difference between the input of each subsystem produced by the
LCO-DMPC and the input of each subsystem calculated by the N-DMPC 235