Stability analysis of multiple time-delayed system

被引：8

作者：

Zheng, Da ^{[1
]}

Ren, Zhengyun ^{[1
]}

Fang, Han-an ^{[1
]}

机构：

[1] Donghua Univ, Coll Informat Sci & Technol, Shanghai, Peoples R China

来源：

ISA TRANSACTIONS | 2008年 / 47卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Linear systems with delays; Delay-dependent stability; Stability margins; Cluster treatment of characteristic roots (CTCR);

D O I：

10.1016/j.isatra.2008.02.003

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A general class of linear time-invariant systems with time delays is studied. A number of methodologies have been suggested to assess the stability in the parametric domain of time delay or coefficient. This study offers in exact. structured and robust methodology to determine the stability regions Of uncertain parameters in both time-delay space and coefficient space. The Rekasius transformation is used its a connection between time-delay space and coefficient space. An explicit analytical expression in terms of the system parameters which reveals the stability regions(pockets) in the domain of time delay and coefficient is presented. The method starts with the determination of all possible values of uncertain parameters which result in purely imaginary characteristic roots. In addition, some special stability boundaries are also discussed. After generating, stability boundaries in parametric space. the two-step determination procedure is proposed to determine the actual stability regions. Such an approach can be used to determine the stability regions of any uncertain parameters of any retarded time-delay system. A complete example Case study is also provided. (C) 2008. ISA. Published by Elsevier Ltd. All rights reserved.

引用

页码：439 / 447

页数：9

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