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Machine Intelligence Research

Erschienen in:

01.04.2014

Stabilizing Sets of PI/PID Controllers for Unstable Second Order Delay System

verfasst von: Rihem Farkh, Kaouther Laabidi, Mekki Ksouri

Erschienen in: Machine Intelligence Research | Ausgabe 2/2014

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Abstract

In this paper, the problem of stabilizing an unstable second order delay system using classical proportional-integral-derivative (PID) controller is considered. An extension of the Hermite-Biehler theorem, which is applicable to quasi-polynomials, is used to seek the set of complete stabilizing proportional-integral/proportional-integral-derivative (PI/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 a triangle.

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Titel: Stabilizing Sets of PI/PID Controllers for Unstable Second Order Delay System
verfasst von: Rihem Farkh
Kaouther Laabidi
Mekki Ksouri
Publikationsdatum: 01.04.2014
Verlag: Springer-Verlag
Erschienen in: Machine Intelligence Research / Ausgabe 2/2014
Print ISSN: 2731-538X
Elektronische ISSN: 2731-5398
DOI: https://doi.org/10.1007/s11633-014-0783-8

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