Robust Stability Test for Dynamic Systems with Short Delays by Using Padé Approximation

被引：18

作者：

Zaihua Wang

Haiyan Hu

机构：

[1] Nanjing University of Aeronautics and Astronautics,Institute of Vibration Engineering Research

[2] Nanjing Institute of Engineering,Department of Basic Courses

[3] PLA,Institute of Vibration Engineering Research

[4] Nanjing University of Aeronautics and Astronautics,undefined

来源：

Nonlinear Dynamics | 1999年 / 18卷

关键词：

Time delay; stability analysis; interval stability; Padé approximation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The paper presents a simple approach to testifying the asymptotic stability and interval stability (robust stability against the change of system parameters in given intervals) for linear dynamic systems involving short time delays. The stability analysis starts with the study of the characteristic roots of a transcendental equation having exponential functions. By means of the Padé approximation to the exponential functions, the transcendental characteristic equation is approximated as an algebraic equation. Then, the test of asymptotic stability and interval stability of the system is completed in a very simple way. The stability analysis of a vibration system with short time delays in the feedback paths of displacement and velocity, taken as an example, is given in detail. The analysis and numerical examples indicate that the approach gives excellent accuracy for linear dynamic systems with short time delays.

引用

页码：275 / 287

页数：12

共 22 条

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Tissir E.(undefined)undefined undefined undefined undefined-undefined

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