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

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