A study on the determination of system parameters according to the eigenvalue assignment for first-order time-delay systems

被引：0

作者：

Kim B. ^{[1
]}

Yang J. ^{[1
]}

Choi S. ^{[1
]}

Kwon J. ^{[1
]}

机构：

[1] Department of Mechanical System Engineering, Gyeongsang National University

来源：

Journal of Institute of Control, Robotics and Systems | 2020年 / 26卷 / 03期

关键词：

Lambert W function; Rightmost eigenvalue assignment; Stability chart; Time-delay system;

D O I：

10.5302/J.ICROS.2020.19.0233

中图分类号：

学科分类号：

摘要：

This study proposes an analytical stability region for a first-order time delay system using the Lambert W function and a geometric method. Delay-dependent and-independent stability regions were obtained by defining two functions, such that the characteristic equation is the difference of these functions. The desired rightmost real eigenvalue was assigned. Moreover, the corresponding system parameters were determined. Oscillation or unstable systems can be exponentially stabilized by static state feedback, in which the feedback gain sets are analytically determined using the results of the stability region. The effectiveness of the proposed approach was demonstrated through numerical examples. © ICROS 2020.

引用

页码：154 / 161

页数：7

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