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On non-fragility of controllers for time delay systems: A numerical approach
Journal of the Franklin Institute ( IF 4.1 ) Pub Date : 2021-04-13 , DOI: 10.1016/j.jfranklin.2021.03.030
Guillermo Oaxaca-Adams , Raúl Villafuerte-Segura , Baltazar Aguirre-Hernández

In this paper an explicit numerical procedure is proposed to determine the non-fragility of parameters of controllers used to stabilize a class of time delay systems. The proposed procedure finds the largest possible circle inscribed in a stability subregion delimited by a simple closed curve in the plane of the controller parameters. The center of this circle is declared to be the controller’s least fragile parameters. The obtained theoretical results are applied and compared with some of the most relevant examples found in the literature. This illustrates that the proposed procedure improves previous results found in the literature so far.



中文翻译:

时滞系统控制器的非脆弱性:一种数值方法

在本文中,提出了一种明确的数值程序来确定用于稳定一类时滞系统的控制器参数的非脆弱性。所提出的程序在由控制器参数平面中的简单闭合曲线界定的稳定性子区域中找到内接的最大可能圆。这个圆的中心被声明为控制器最不脆弱的参数。应用获得的理论结果并与文献中发现的一些最相关的例子进行比较。这说明所提出的程序改进了迄今为止在文献中发现的先前结果。

更新日期:2021-06-01
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