Analysis of sampled-data hybrid integrator-gain systems: A discrete-time approach

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

Automatica Pub Date : 2024-06-24 DOI:10.1016/j.automatica.2024.111765

Bardia Sharif , Dirk Alferink , Marcel Heertjes , Hendrik Nijmeijer , Maurice Heemels

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引用次数: 0

Abstract

Hybrid integrator-gain systems (HIGS) are hybrid control elements used to overcome fundamental performance limitations of linear time-invariant feedback control, and have enjoyed recent successes in engineering applications such as high-precision motion systems. However, despite the relevance of digital implementations, the creation of sampled-data versions of HIGS and their formal analysis have not been addressed in the literature so far, and will form the topic of the present paper. Thereto, we present discrete-time HIGS elements, which preserve the main philosophy behind the operation of HIGS in continuous time. Moreover, stability criteria are presented that can be used to certify input-to-state stability of discrete-time and sampled-data HIGS-controlled systems based on both (i) (measured) frequency response data, and (ii) linear matrix inequalities (LMIs). A comparison between these stability criteria is presented as well. A numerical case study is provided to illustrate the application of the main results.

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采样数据混合积分器增益系统分析：离散时间方法

混合积分器增益系统（HIGS）是一种混合控制元件，用于克服线性时不变反馈控制的基本性能限制，最近在高精度运动系统等工程应用中取得了成功。然而，尽管数字实现具有相关性，但迄今为止，文献中尚未涉及 HIGS 采样数据版本的创建及其形式分析，这也将成为本文的主题。为此，我们提出了离散时间 HIGS 要素，这些要素保留了连续时间 HIGS 运行背后的主要理念。此外，我们还提出了稳定性标准，可用于证明离散时间和采样数据 HIGS 控制系统的输入到状态稳定性，这些标准基于 (i) （测量）频率响应数据和 (ii) 线性矩阵不等式 (LMI)。此外，还对这些稳定性标准进行了比较。还提供了一个数值案例研究，以说明主要结果的应用。

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

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.

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