Page 110 - Distributed model predictive control for plant-wide systems
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84                            Distributed Model Predictive Control for Plant-Wide Systems


                        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)

           Figure 5.4 Performance with    = 1and P = 20 of a closed-loop system under the control of
           LCO-DMPC with    = 1



           where L is the nonlinear function of the input and output variables. The objective of the whole
           system is to regulate the system output to the expected values while keeping the performance
           index minimal.


           5.3.1.2  Distributed Model Predictive Control Based on Nash Optimality

           For large-scale systems to avoid the prohibitively high online computational demand and
           improve the global performance comparing to the noniterative LCO-DMPC, this section will
           introduce the DMPC control based on Nash optimality.
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