朗格万动力学的漏斗控制

IF 5.9 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Automatica Pub Date : 2025-06-17 DOI:10.1016/j.automatica.2025.112448

Thomas Berger , Feliks Nüske

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引用次数: 0

摘要

在这项研究中，我们将控制理论的概念应用于朗之万型随机微分方程，其动机是计算统计物理、学习或不确定性量化中的复杂动力系统。目标是保证在给定的足够平滑的参考信号周围，在规定的性能漏斗中平均值的演化。为了实现这一目标，我们设计了一种新的漏斗控制器，并在一定的结构条件下对势能进行了验证。控制设计不需要任何关于势能形状的特定知识。我们用一个亚稳双阱势的数值模拟来说明结果。

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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Funnel control for Langevin dynamics

In this study, we apply concepts from control theory to stochastic differential equations of Langevin type, motivated by complex dynamical systems in computational statistical physics, learning, or uncertainty quantification. The objective is to guarantee the evolution of the mean value in a prescribed performance funnel around a given sufficiently smooth reference signal. To achieve this objective we design a novel funnel controller and show its feasibility under certain structural conditions on the potential energy. The control design does not require any specific knowledge of the shape of the potential energy. We illustrate the results by a numerical simulation for a metastable double-well potential.

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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.