Title :
On stabilizing with PID controllers
Author :
Saadaoui, Karim ; Ozguler, A.
Author_Institution :
LARA Autom., Tunis
Abstract :
In this paper we give an algorithm that determines the set of all stabilizing proportional-integral-derivative (PID) controllers that places the poles of the closed loop system in a desired stability region S. The algorithm is applicable to linear, time invariant, single-input single-output plants. The solution is based on a generalization of the Hermite-Biehler theorem applicable to polynomials with complex coefficients and the the application of a stabilizing gain algorithm to three auxiliary plants.
Keywords :
closed loop systems; polynomials; stability; three-term control; Hermite-Biehler theorem; PID controller stability; auxiliary plants; closed loop system; complex coefficients; linear plants; proportional-integral-derivative controllers; single-input single-output plants; time invariant plants; Automatic control; Closed loop systems; Control systems; Damping; Frequency domain analysis; Pi control; Polynomials; Proportional control; Stability; Three-term control;
Conference_Titel :
Control & Automation, 2007. MED '07. Mediterranean Conference on
Conference_Location :
Athens
Print_ISBN :
978-1-4244-1282-2
Electronic_ISBN :
978-1-4244-1282-2
DOI :
10.1109/MED.2007.4433823
