Stabilizing first-order controllers with desired stability region
Date
2009
Authors
Saadaoui, K.
Özgüler, A. B.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Hermite–Biehler theorem
Print ISSN
1480-1752
Electronic ISSN
1925-5810
Publisher
ACTA Press
Volume
37
Issue
1
Pages
1 - 8
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
Abstract
In this paper, we determine the set of all stabilizing first-order controllers that place the poles of the closed-loop system in a desired stability region. The solution is based on a generalization of the Hermite-Biehler theorem applicable to polynomials with complex coefficients and the application of a modified stabilizing gain algorithm to three subsidiary plants. The method given is also applicable to PID controllers.