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

Civil Engineering

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