Feedback control for random, linear hyperbolic balance laws

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2020-07-01 DOI:10.1615/int.j.uncertaintyquantification.2021037183

Stephan Gerster, M. Bambach, M. Herty, M. Imran

引用次数: 1

Abstract

We design the controls of physical systems that are faced by uncertainties. The system dynamics are described by random hyperbolic balance laws. The control aims to steer the system to a desired state under uncertainties. We propose a control based on Lyapunov stability analysis of a suitable series expansion of the random dynamics. The control damps the impact of uncertainties exponentially fast in time. The presented approach can be applied to a large class of physical systems and random perturbations, as~e.g.~Gaussian processes. We illustrate the control effect on a stochastic viscoplastic material model.

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随机线性双曲平衡律的反馈控制

我们设计了面对不确定性的物理系统的控制。系统动力学由随机双曲平衡定律描述。该控制旨在引导系统在不确定的情况下达到所需的状态。我们提出了一种基于李雅普诺夫稳定性分析的控制方法，该方法适用于随机动力学的级数展开。该控制在时间上以指数级的速度衰减不确定性的影响。所提出的方法可以应用于一大类物理系统和随机扰动，例如高斯过程。我们说明了随机粘塑性材料模型的控制效果。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.