时滞扰动奇异系统的分离原理

IF 1.6 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS IMA Journal of Mathematical Control and Information Pub Date : 2023-06-13 DOI:10.1093/imamci/dnad019

Khawla Ben Mrad, I. Ellouze

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引用次数: 0

摘要

本文建立了一类时变时滞扰动奇异系统的分离原理。此外，我们提出了一个奇异观测器来估计系统状态。基于Lyapunov–Krasovskii泛函，实现了所提出的奇异观测器的实际稳定性。这些结果证明了扰动奇异系统可以得到一个分离原理。最后，我们提供了一个数值例子来验证所提结果的有效性。

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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Separation principle of delay perturbed singular systems

In this paper, we establish a separation principle for a class of time-varying delay perturbed singular systems. Furthermore, we propose a singular observer to estimate the system states. Based on the Lyapunov–Krasovskii functionals, the practical stability of the proposed singular observer is achieved. These results are applied to show that a separation principle for perturbed singular systems can be obtained. Eventually, we provide a numerical example to verify the validity of the proposed results.

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来源期刊

IMA Journal of Mathematical Control and Information 工程技术-应用数学

CiteScore

3.30

自引率

6.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal is to provide an outlet for papers which are original and of high quality in mathematical control theory, systems theory, and applied information sciences. Short papers and mathematical correspondence or technical notes will be welcome, although the primary function of the journal is to publish papers of substantial length and coverage. The emphasis will be upon relevance, originality and clarify of presentation, although timeliness may well be an important feature in acceptable papers. Speculative papers that suggest new avenues for research or potential solutions to unsolved problems of control and information theory will be particularly welcome. Specific application papers will not normally be within the remit of the journal. Applications that illustrate techniques or theories will be acceptable. A prime function of the journal is to encourage the interplay between control and information theory and other mathematical sciences. All submitted papers will be judged on their merits by at least two referees and a full paper report will be available to the intending authors. Submitted articles will in general be published in an issue within six months of submission. Papers should not have previously published, nor should they be undes consideration for publication in another journal. This Journal takes publication ethics very seriously. If misconduct is found or suspected after the manuscript is published, the journal will investigate the matter and this may result in the article subsequently being retracted.