A generalized Routh-Hurwitz criterion for the stability analysis of polynomials with complex coefficients: Application to the PI-control of vibrating structures

被引：4

作者：

Hastir, Anthony ^{[1
]}

Muolo, Riccardo ^{[1
,2
]}

机构：

[1] Univ Namur, Namur Inst Complex Syst, Dept Math & naXys, Rue Grafe 2, B-5000 Namur, Belgium

[2] Tokyo Inst Technol, Dept Syst & Control Engn, 2 Chome-12-1 Ookayama, Tokyo 1528550, Japan

来源：

IFAC JOURNAL OF SYSTEMS AND CONTROL | 2023年 / 26卷

关键词：

Routh-Hurwitz criterion; Complex coefficients polynomials; Vibrating structures; PI-control; n-ary sumation n; j =1;

D O I：

10.1016/j.ifacsc.2023.100235

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The Routh-Hurwitz criterion is one of the most popular methods to study the stability of polynomials with real coefficients, given its simplicity and ductility. However, when moving to polynomials with complex coefficients, some generalization exist but are either incorrect or inapplicable to most practical cases. To fill this gap, we hereby propose a directed generalization of the criterion to the case of complex polynomials, broken down in an algorithmic form, so that the method is now easily accessible and ready to be applied. Then, we demonstrate its use to determine the external stability of a system consisting of the interconnection between a rotating shaft and a PI-regulator, obtaining the necessary and sufficient conditions to achieve stabilization of the system. (c) 2023 Elsevier Ltd. All rights reserved.

引用

页数：9

共 9 条

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