New results on the synthesis of FO-PID controllers

被引：59

作者：

Caponetto, Riccardo ^{[1
]}

Dongola, Giovanni ^{[1
]}

Fortuna, Luigi ^{[1
]}

Gallo, Antonio ^{[1
]}

机构：

[1] Univ Catania, Fac Engn, DIEES, I-95125 Catania, Italy

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 04期

关键词：

Fractional order PID; Delay system; Stability; PID tuning techniques; SYSTEMS;

D O I：

10.1016/j.cnsns.2009.05.040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a new procedure that allows to define the parameters of fractional order (PID mu)-D-lambda controller, designed to stabilize a first-order plant with delay-time, is proposed. Using a version of the Hermite-Biehler theorem applicable to quasipolynomials, the complete set of stabilizing (PID mu)-D-lambda parameters is determined. The widespread industrial use of PID controllers and the potentiality of their non-integer order representation justifies a timely interest to (PID mu)-D-lambda tuning techniques. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：997 / 1007

页数：11

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