Performance estimates for economic model predictive control and their application in proper orthogonal decomposition-based implementations

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-03-01 DOI:10.3934/MCRF.2021013

L. Grüne, L. Mechelli, S. Pirkelmann, S. Volkwein

引用次数: 5

Abstract

In this paper performance indices for economic model predictive controllers (MPC) are considered. Since existing relative performance measures, designed for stabilizing controllers, fail in the economic setting, we propose alternative absolute quantities. We show that these can be applied to assess the performance of the closed loop trajectories on-line while the controller is running. The advantages of our approach are demonstrated by simulations involving a convection-diffusion-system. The method is also combined with proper orthogonal decomposition, thus demonstrating the possibility for both efficient and performant MPC for systems governed by partial differential equations.

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经济模型预测控制的性能估计及其在适当的正交分解实现中的应用

研究了经济模型预测控制器(MPC)的性能指标。由于为稳定控制器而设计的现有相对性能度量在经济设置中失败，我们提出了替代的绝对数量。我们表明，这些可以应用于在线评估闭环轨迹的性能，而控制器正在运行。通过对流扩散系统的模拟，证明了该方法的优点。该方法还与适当的正交分解相结合，从而证明了对偏微分方程控制的系统进行高效和高性能MPC的可能性。

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.