Comments on "New results on the synthesis of PID controllers"

Author

Martelli, Gianpasquale

Volume

50

Issue

9

fYear

2005

Firstpage

1468

Lastpage

1469

Abstract

Silva, Datta, and Bhattacharyya (in the above paper) have studied the feedback control system, provided with a proportional-integral-derivative (PID) controller and relative to a first-order plant with a time delay, and have determined the range of the PID controller parameters suitable for the stability by means of a version of the Hermite-Biehler theorem. The purpose of this note is to find the same results in a simpler way by means of the classical Nyquist´s stability criterion.

Keywords

Nyquist stability; closed loop systems; control system synthesis; delay systems; feedback; reduced order systems; three-term control; Hermite-Biehler theorem; Nyquist stability criterion; PID controller parameter; PID controller synthesis; closed-loop systems; feedback control system; first-order plant; proportional-integral-derivative controller; reduced-order systems; time delay; Control system synthesis; Control systems; Delay effects; Delay systems; Feedback control; Pi control; Proportional control; Reduced order systems; Stability criteria; Three-term control; Closed-loop systems; delay systems; proportional-integral-derivative (PID) control; reduced-order systems; stability;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2005.854644

Filename

1506965