文章基本信息

标题：Neumann trace tracking of a constant reference input for 1-D boundary controlled heat-like equations with delay ⁎
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作者：Hugo Lhachemi ; Christophe Prieur ; Emmanuel Trélat 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2020
卷号：53
期号：2
页码：7716-7721
DOI：10.1016/j.ifacol.2020.12.1517
语种：English
出版社：Elsevier
摘要：AbstractThis paper discusses the Proportional Integral (PI) regulation control of the left Neumann trace of a one-dimensional reaction-diffusion equation with a delayed right Dirichlet boundary control. Specifically, a PI controller is designed based on a finite-dimensional truncated model that captures the unstable dynamics of the original infinite-dimensional system. In this setting, the control input delay is handled by resorting to the Artstein transformation. The stability of the resulting infinite-dimensional system, as well as the tracking of a constant reference signal in the presence of a constant distributed perturbation, is assessed based on the introduction of an adequate Lyapunov function. The theoretical results are illustrated with numerical simulations.
关键词：Keywords1-D reaction-diffusion equationPI regulation controlNeumann traceDelay boundary controlPartial Differential Equations (PDEs)