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  • 标题:Numerical Verification of Turnpike and Continuity Properties for Time-Varying PDEs
  • 本地全文:下载
  • 作者:Lars Grüne ; Simon Pirkelmann
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2019
  • 卷号:52
  • 期号:2
  • 页码:7-12
  • DOI:10.1016/j.ifacol.2019.08.002
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractTo prove approximate closed loop optimality of economic model predictive control of time varying systems, continuity assumptions for the optimal value function and the turnpike property are sufficient conditions. It can be difficult to prove these assumptions analytically for a given example. In this paper we present a numerical approach that aims to verify the assumptions by simulations for a system involving a convection-diffusion equation with boundary control. The results show that the assumptions are realistic and can be met for practical problems.
  • 关键词:KeywordsTurnpike PropertyOptimal Value FunctionModulus of ContinuityModel Predictive ControlTime-varying systemsPartial Differential Equations
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