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Control Structure of Distributed MPC                                    43



                                                 MPC
                           Communication
                           network






                               MPC     MPC      MPC         MPC     MPC



                                                                   *
                                      * y
                             u 1 * y 1  u 2   2  u 3 * y 3  u * m–1 y m–1  u y m
                                                                   m
                                                 S *
                                                                   S Na
                              S 1      S 2          S *
                           Plant-wide system  S 3           S Na-1


                      Figure 3.3 The hierarchical decentralized/distributed MPC control structure

             under control of the controllers in the lower layer, the controllers of the lower layer have to be
             taken into account in the predictive model of the higher layer MPC controller. In addition, the
             higher layer MPCs may involve both nonlinear and linear, continuous and discrete elements,
             and fast rate and slow rate problems, since they have to consider a larger part of the system
             than lower-layer controllers. This makes the resulting MPC control problem more complex.



             3.5  Example of the Hierarchical DMPC Structure

             Example 3.1 The hierarchical DMPC control structure for a hydrocracking process (this
             example mainly refers to [81]).

               Hydrocracking is a catalytic chemical process which converts high-boiling hydrocarbons
             to more valuable lighter products such as diesel, kerosene, naphtha, and light ends. Hydro-
             cracking is carried out in multiple catalytic beds in the presence of excess hydrogen at high
             temperatures and pressures. Due to the highly exothermic nature of the process, hydrogen
             quench is used for interstage cooling. Sulfur and nitrogen compounds are removed in the
             hydrotreater to yield low-impurity reactor effluent. A significant amount of hydrogen is con-
             sumed in cracking reactions. To keep hydrogen circulation constant, make-up hydrogen is
             added in the process as shown in the middle of Figure 3.4. In the plant fractionation part, the
             reactor effluent is separated into the final valuable products. Figure 3.4 shows the flow sheet
             of this industrial plant.
               The feed is HVGO (heavy vacuum gas oil) and the products are light ends (LE), light naphtha
             (LN), heavy naphtha (HN), kerosene (Krs), diesel (Dsl), and bottom (Btm).
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