Robust Stability Analysis of Fractional Order Uncertain Polynomials

机译：分数阶不确定多项式的鲁棒稳定性分析

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摘要

This paper presents a general purpose graphical approach to the stability analysis of fractional order polynomials with various parametric uncertainty structures. The value set of the fractional order uncertain polynomials has been obtained and successfully combined with the well known zero exclusion principle to investigate the robust stability of the polynomials. Six different uncertainty structures are considered to present that the zero exclusion principle is applicable for all the uncertainty structures It is investigated that robust stability of the unstable polynomials can be achieved while values of the fractional orders are changing in a certain interval. The results are illustrated via examples.

机译：本文提出了一种通用的图形化方法，用于具有各种参数不确定性结构的分数阶多项式的稳定性分析。已获得分数阶不确定多项式的值集，并成功地将其与众所周知的零排除原理相结合，以研究多项式的鲁棒稳定性。考虑了六个不同的不确定性结构，表明零排除原理适用于所有不确定性结构。研究表明，在分数阶的值在一定间隔内变化的同时，可以实现不稳定多项式的鲁棒稳定性。通过示例说明了结果。

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来源
《Proceedings of the Fifth symposium on fractional differentiation and its applications》|2012年|1-6|共6页
会议地点 Nanjing(CN)
作者
B. Senol; C. Yeroglu;
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作者单位

Computer Engineering Department, Inonu University,Malatya, Turkey;

Computer Engineering Department, Inonu University, Malatya, Turkey;

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会议组织
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Fractional order uncertain polynomial; value set; zero exclusion principle; robust stability;

机译：分数阶不确定多项式；值集；零排除原理；鲁棒稳定性;

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Robust Stability Analysis of Fractional Order Uncertain Polynomials

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