边界控制下多维热方程的鲁棒输出调节

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

Automatica Pub Date : 2024-09-30 DOI:10.1016/j.automatica.2024.111956

Ren-Xi Zhao , Bao-Zhu Guo , Lassi Paunonen

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引用次数: 0

摘要

在过去几年中，内部模型原理已从 PDE 的角度扩展到一些由一维偏微分方程（PDE）描述的系统。然而，稳健性仍局限于特定情况，这主要是由于在 PDE 框架内制定稳健性所面临的挑战。在本文中，我们探讨了边界控制下多维热方程的输出调节，其中输出空间是无穷维的。我们不仅推导出了解析跟踪误差反馈控制，还证明了其鲁棒性。这是通过利用抽象结果和 PDE 设计技术实现的。

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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Robust output regulation for multi-dimensional heat equation under boundary control

Over the past few years, the internal model principle has been extended to some systems described by one-dimensional partial differential equations (PDEs) from the PDE perspective. However, robustness has remained limited to specific cases, primarily due to the challenges in formulating it within the PDE framework. In this paper, we explore output regulation for a multi-dimensional heat equation under boundary control, where the output space is infinite-dimensional. We not only derive an analytic tracking error feedback control but also demonstrate robustness. This is achieved by leveraging abstract results and PDE design techniques.

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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.