存在噪音和扰动时规定时间观测器的离散化

IF 2.1 3区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Systems & Control Letters Pub Date : 2024-05-07 DOI:10.1016/j.sysconle.2024.105820

Denis Efimov , Yury Orlov

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引用次数: 0

摘要

本文提出了霍洛威和克尔斯蒂奇（2019）规定时间收敛观测器的隐式欧拉离散化方案，该方案保留了连续时间对应观测器的所有主要特性，并研究了如何在任意时间间隔上递归应用这种离散化方案。此外，研究还证明了估计误差相对于线性增益的测量噪声是稳健稳定的（这一特性在连续时间设置中并不成立）。通过数值实验说明了所建议的离散时间观测器的效率。

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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Discretization of prescribed-time observers in the presence of noises and perturbations

An implicit Euler discretization scheme of the prescribed-time converging observer from Holloway and Krstic, (2019) is proposed, which preserves all main properties of the continuous-time counterpart, and it is investigated how to apply recursively this discretization on any interval of time. In addition, it is demonstrated that the estimation error is robustly stable with respect to the measurement noise with a linear gain (the property that does not hold in the continuous-time setting). The efficiency of the suggested discrete-time observer is illustrated through numeric experiments.

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来源期刊

Systems & Control Letters 工程技术-运筹学与管理科学

CiteScore

4.60

自引率

3.80%

发文量

144

审稿时长

6 months

期刊介绍： Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.