Output stabilization of a class of second-order linear time-delay systems: An eigenvalue approach

被引：3

作者：

He, Shu-An ^{[1
]}

Fong, I-Kong ^{[1
]}

机构：

[1] Natl Taiwan Univ, Dept Elect Engn, Taipei 10617, Taiwan

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2012年 / 349卷 / 01期

关键词：

LAMBERT-W FUNCTION; DIFFERENTIAL EQUATIONS;

D O I：

10.1016/j.jfranklin.2011.10.007

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper studies linear time-invariant systems with an input delay and two repeated or distinct real poles. The closed-loop system eigenvalue-loci with respect to the output feedback controller gain are investigated by using the Lambert function and root-locus construction techniques. Output feedback stabilization conditions and stability robustness with respect to the delay time uncertainty are established. Also, the response performance is discussed. Three examples and related simulations are presented to illustrate the analysis results. (C) 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：110 / 127

页数：18

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