A new computational approach for optimal control of switched systems

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-04-09 DOI:10.1186/s13660-024-03124-2

Xi Zhu, Yanqin Bai, Changjun Yu, Kok Lay Teo

引用次数: 0

Abstract

The combination of the time-scaling transformation and control parameterization has proven to be an effective approach in addressing optimal control problems involving switching systems with predefined subsystem sequences. However, this approach has certain limitations. First, the number of control switchings is required to be no less than the number of subsystem switchings. Second, the switching of the subsystem must be accompanied by the switching of the control. Third, this scheme introduces many hyperparameters, leading to combinatorial explosion. To address these drawbacks, we introduce a novel computational approach such that the control switching can be independent of subsystem switching. The superiority of this novel approach can be clearly observed from the solutions obtained using the proposed method for solving two illustrative examples.

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开关系统优化控制的新计算方法

事实证明，将时间缩放变换与控制参数化相结合，是解决涉及具有预定义子系统序列的开关系统优化控制问题的有效方法。不过，这种方法也有一定的局限性。首先，要求控制切换的次数不少于子系统切换的次数。其次，子系统的切换必须伴随着控制的切换。第三，该方案引入了许多超参数，导致组合爆炸。为了解决这些弊端，我们引入了一种新的计算方法，使控制的切换可以独立于子系统的切换。使用所提出的方法求解两个示例，可以清楚地看到这种新方法的优越性。

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.