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40                            Distributed Model Predictive Control for Plant-Wide Systems



                                               MPC







                           u 1 *  y 1  u 2 *  y * 2  u 3 * y 3  u * m-1  y m-1  u * m  y m

                                                S *
                                                                  S Na
                             S 1      S 2          S *
                                           S               S
                          Plant-wide system  3              Na-1

                              Figure 3.1  The centralized MPC control structure


           and that are commonly encountered in theory and practice. Referring to [11], we will introduce
           the centralized MPC control structure, the single-layer DMPC, and the hierarchical DMPC in
           this chapter.


           3.2   Centralized MPC

           As illustrated in Figure 3.1, when there is only one MPC controller that has access to all
           actuators and sensors of the process network and thus directly controls the physical network,
           to control the entire system, then the control structure is referred to as a centralized MPC
           control structure.
             The advantage of a centralized MPC control structure in general is that it can obtain the
           best performance, and it has been extensively studied in the literature. There are a large
           number of reference materials available for designing the centralized MPC, in particular
           for small-scale systems. In addition, there are many mature commercial centralized MPC
           software packages available which make it more convenient for control application engineers
           to apply centralized MPC to industrial processes. However, there are several issues that
           obstacle the implementation of a centralized MPC control structure to large-scale plant-wide
           systems, such as follows:

           • Global communication which leads to a severe requirement on communication speed and
             network safety.
           • Heavy computational requirements which make it only suitable for very slow large-scale
             systems.
           • Commercial, legal, and political issues related to unavailability of information and restricted
             control access.
           • Undesirable properties with respect to reliability, scalability, error tolerance, and structure
             flexibility.
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