Computation of All Stabilizing PID Gain for Second-Order Delay System
Joint Authors
Laabidi, Kaouther
Ksouri, Mekki
Farkh, Rihem
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-09-27
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
The problem of stabilizing a second-order delay system using classical proportional-integral-derivative (PID) controller is considered.
An extension of the Hermite-Biehler theorem, which is applicable to quasipolynomials, is used to seek the set of complete stabilizing PID parameters.
The range of admissible proportional gains is determined in closed form.
For each proportional gain, the stabilizing set in the space of the integral and derivative gains is shown to be either a trapezoid or a triangle.
American Psychological Association (APA)
Farkh, Rihem& Laabidi, Kaouther& Ksouri, Mekki. 2009. Computation of All Stabilizing PID Gain for Second-Order Delay System. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-17.
https://search.emarefa.net/detail/BIM-454895
Modern Language Association (MLA)
Farkh, Rihem…[et al.]. Computation of All Stabilizing PID Gain for Second-Order Delay System. Mathematical Problems in Engineering No. 2009 (2009), pp.1-17.
https://search.emarefa.net/detail/BIM-454895
American Medical Association (AMA)
Farkh, Rihem& Laabidi, Kaouther& Ksouri, Mekki. Computation of All Stabilizing PID Gain for Second-Order Delay System. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-17.
https://search.emarefa.net/detail/BIM-454895
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454895