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278                           Distributed Model Predictive Control for Plant-Wide Systems


             The traction of the third coach is shown in Figure 12.13.
             Figures 12.10 and 12.11 show track status of the first and the second coach, which demon-
           strates that the global optimization has the best performance, the decentralized optimization
           has the biggest steady-state error and fierce oscillation, and the neighborhood optimization
           is much better than the decentralized optimization and similar to the global. Figures 12.12
           and 12.13 show the traction status of the powered coach, which demonstrates that using the
           neighborhood optimization can get a smaller traction.


           12.5   Conclusion
           In this chapter, DMPC based on the neighborhood optimization is designed for the high-speed
           train with distributed traction. The spring–mass model of the longitudinal dynamics systems
           is divided into local subsystems. Based on the neighbor definition, the local subsystems can be
           transferred to the neighbor subsystems for the distributed model controller. Simulation results
           show that the N-DMPC with information constraint performs better than the method based on
           the local optimization with more smooth and less steady-state error.
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