ANALYTIC ROOT LOCUS AND LAMBERT W FUNCTION IN CONTROL OF A PROCESS WITH TIME DELAY

被引：5

作者：

Cogan, Brian ^{[1
]}

de Paor, Annraoi M. ^{[2
]}

机构：

[1] Commissioners Irish Lights, Dun Laoghaire, Dublin, Ireland

[2] Natl Univ Ireland, Sch Elect Elect & Mech Engn, Dublin 4, Ireland

来源：

JOURNAL OF ELECTRICAL ENGINEERING-ELEKTROTECHNICKY CASOPIS | 2011年 / 62卷 / 06期

关键词：

Lambert W function; root locus; time-delay system; stability; eigenvalues; STABILITY ANALYSIS; SYSTEMS;

D O I：

10.2478/v10187-011-0052-9

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Recently, the Lambert W function has arisen in the analysis of many systems including a. restricted class of time-delay systems. An alternative approach to this analysis, based on the well-established root locus method, is shown here to contain the Lambert W function as a special case. As a purely illustrative example of the equivalence between the Lambert W function and analytic root locus a system comprising a Proportional controller with a time-delay process is analysed. Controller designs based on rightmost eigenvalue location and the dominant eigenvalue method are described.

引用

页码：327 / 334

页数：8

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