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  • 标题:On the link between explicit MPC and the face lattice of the lifted feasible domain
  • 本地全文:下载
  • 作者:Ştefan S. Mihai ; Florin Stoican ; Bogdan D. Ciubotaru
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2022
  • 卷号:55
  • 期号:16
  • 页码:308-313
  • DOI:10.1016/j.ifacol.2022.09.042
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractThe paper provides a geometric interpretation for the explicit solution of the quadratic cost, linear-constrained MPC (model predictive control) problem. We link the face lattice of the lifted feasible domain (defined in the input and parameter space) with the critical regions which partition the parameter space and serve as polyhedral support for the piecewise affine explicit MPC solution. We provide geometric (face visibility) and algebraic (polyhedron emptiness) tests for the pruning of the candidate sets of active constraints.
  • 关键词:KeywordsModel Predictive Control (MPC)Explicit MPCFace LatticeConstrained-Optimization Problem
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