Page 182 - Distributed model predictive control for plant-wide systems
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156                           Distributed Model Predictive Control for Plant-Wide Systems


                                 Outputs                    Control variables
                      1.5                             4
                                                      3
                       1
                                                      2
                    y 1  0.5                      u 1
                                                      1
                       0
                                                      0
                     –0.5                            –1
                         0    20  40  60  80  100      0    20  40  60  80  100
                                 Time (s)                      Time (s)
                      1.5                           1.5
                       1                              1

                    y 2  0.5                      u 2  0.5
                       0                              0

                     –0.5                           –0.5
                         0    20  40  60  80  100      0    20  40  60  80  100
                                 Time (s)                      Time (s)

                   Figure 7.11 Outputs and control signals under the N-DMPC iterative algorithm

                    200

                    180

                    160

                    140
                  Performance index  100                 Neighborhood optimization
                    120
                                                         Nash optimization
                                                         Decentralized MPC
                    80
                    60

                    40

                    20

                     0
                      0          20         40         60         80         100
                                               Time (s)

                         Figure 7.12  Performance index comparisons for three schemes
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