二维和三维抛物方程的边界输出反馈镇定

IF 4.8 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Automatica Pub Date : 2025-03-22 DOI:10.1016/j.automatica.2025.112259

Hugo Lhachemi , Ionut Munteanu , Christophe Prieur

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引用次数: 0

摘要

本文讨论了抛物型方程的边界输出反馈镇定问题，抛物型方程由线性微分算子控制，该算子可以通过引入适当的加权函数（通过Sturm-Liouville方法）对角化，并且在有界空间域中演化，这些有界空间域是Rd，d=2,3的子集。本文在推广一维抛物型偏微分方程边界输出反馈控制和多维抛物型偏微分方程状态反馈控制的基础上，提出了一种利用有限维观测器设计的具有内Dirichlet测量的输出反馈边界稳定控制。对于二维和三维抛物方程，所报告的控制设计过程是系统的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Boundary output feedback stabilization for 2-D and 3-D parabolic equations

The present paper addresses the topic of boundary output feedback stabilization of parabolic-type equations, governed by linear differential operators which can be diagonalized by the introduction of adequate weighting functions (by means of the Sturm–Liouville method), and which evolve in bounded spatial domains that are subsets of

R^{d}, d = 2, 3

. Generalizing previous works for the boundary output feedback control of 1-D parabolic PDEs and for the state feedback control of multi-D parabolic PDEs, we report in this paper an output feedback boundary stabilizing control with internal Dirichlet measurements designed by means of a finite-dimensional observer. The reported control design procedure is shown to be systematic for 2-D and 3-D parabolic equations.

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来源期刊

Automatica 工程技术-工程：电子与电气

CiteScore

10.70

自引率

7.80%

发文量

617

审稿时长

5 months

期刊介绍： Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field. After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience. Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.