Computation of All Stabilizing PID Gain for Second-Order Delay System-Reference-Cited by-同舟云学术

Computation of All Stabilizing PID Gain for Second-Order Delay System

Published:2009 Issue: Volume:2009 Page:1-17
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Farkh Rihem¹,Laabidi Kaouther¹,Ksouri Mekki¹^ORCID

Affiliation:

1. Research Unit on Systems Analysis and Control, National School of Engineering of Tunis, BP, 37, Le Belvédère, 1002 Tunis, Tunisia

Abstract

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.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2009/212053.pdf

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4. Control Engineering,2005

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