Synthesis of a fractional PI controller for a first-order time delay system

被引：29
|
作者：
Hafsi, Sami [1 ]
Laabidi, Kaouther [1 ]
Farkh, Rihem [1 ]
机构：
[1] Univ Tunis El Manar, Ecole Natl Ingn Tunis, Lab Anal Concept & Commande Syst LR 11 ES20, Tunis 1002, Tunisia
来源：
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2013年 / 35卷 / 08期
关键词：
Fractional-order control; fractional-order PI controller; first-order delay system; Hermite-Biehler theorem; Pontryagin theorem;
D O I：
10.1177/0142331212474018
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 considers the problem of stabilizing a first-order plants with known time delay using a fractional-order proportional-integral controller PI lambda. Using a generalization of the Hermite-Biehler theorem applicable to quasi-polynomials, a complete analytical characterization of all stabilizing gain values (k(p), k(i)) is provided. The widespread industrial use of fractional PI controllers justifies a timely interest in PIl tuning techniques.
引用
收藏
页码：997 / 1007
页数：11
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