文章基本信息

标题：Numerical Verification of Turnpike and Continuity Properties for Time-Varying PDEs
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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