TAILIEUCHUNG - Advanced Model Predictive Control Part 8

Tham khảo tài liệu 'advanced model predictive control part 8', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | A General Lattice Representation for Explicit Model Predictive Control 199 is used for the relaxed problem. In 2003 an algorithm is suggested that can determine a suboptimal explicit MPC control on a hypercubic partition Johansen Grancharova 2003 . In this partition the domain is divided into a set of hypercubes separated by orthogonal hyperplanes. In 2006 Jones Grieder Rakovic interpret the PWA value function as weighted power diagrams extended Voronoi diagrams . By using the standard Voronoi search methods the online evaluation time is solved in logarithmic time Jones Grieder Rakovic 2006 Spjotvold Rakovic Tondel Johansen 2006 . Dynamic programming can also be used to calculate the approximate explicit MPC laws Bertsekas Tsitsiklis 1998 Lincoln Rantzer 2002 2006 . The main idea of these approaches is to find the sub-optimal solutions with known error bounds. The prescribed bounds can achieve a good trade-off between the computation complexity and accuracy. These approximation algorithms are very efficient regarding the storage and online calculation time. However the approximate PWA functions usually have different domain partitions from the original explicit MPC laws. This deviation may hinder the controller performance and closed-loop stability. The established representation and approximation algorithms have found many successful applications in a variety of fields. However they can only evaluate the control actions for discrete measured states. None of them can provide the exact analytical expression of the PWA control laws. An analytical expression will ease the process of closed-loop performance analysis online controller tuning and hardware implementations. The analytic expression also provides the flexibility of tailoring the PWA controllers to some specific applications . to develop different sub-optimal controllers in different zones a union of polyhedral regions and to smooth the PWA controllers at region boundaries or vertices Wen et al. 2009a . In

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