Page 142 - Distributed model predictive control for plant-wide systems
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116                           Distributed Model Predictive Control for Plant-Wide Systems



                                                                  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 6.2 Plant with    = 1: (a) maximum closed-loop eigenvalues with LCO-DMPC and C-DMPC;
           (b) control performance with    = 1 for LCO-DMPC (blue line, MSE = 0.2277) and C-DMPC (red line,
           MSE = 0.2034).
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