Page 141 - Distributed model predictive control for plant-wide systems
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Cooperative Distributed Predictive Control                             115



                                                                   LCO-DMPC
                                                                   C-DMPC
                      4
                    3.5
                      3
                    2.5
                      2
                    1.5
                      1
                    0.5
                      3
                          2                                                   30
                              1                                         25
                                  0                                20
                                     –1                       15
                            log 10 γ                     10
                                         –2
                                             –3    5            P
                                             (a)
                            1
                           0.5
                        y 1
                            0
                          –0.5
                                 5    10    15   20   25    30   35    40
                                              Time (s)
                            1
                           0.5
                        y 2
                            0
                          –0.5
                                 5    10    15   20   25    30   35    40
                                               Time (s)
                           0.5
                        u 1  0

                          –0.5
                                 5    10    15   20   25    30   35    40
                                               Time (s)
                            2
                            1
                        u 2
                            0
                           –1
                                 5    10    15   20   25    30   35    40
                                               Time (s)
                                                 (b)

             Figure 6.1 Plant with    = 0.1: (a) maximum closed-loop eigenvalues with LCO-DMPC and C-DMPC;
             (b) control performance with    = 1 for LCO-DMPC (blue line, MSE = 0.2568) and C-DMPC (red line,
             MSE = 0.2086).
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