Relay based gain and phase margins PI controller design

Author

De Arruda, Gustavo H M ; Barros, Péicles R.

Author_Institution

Dept. de Engenharia Eletrica, Univ. Fed. da Paraiba, Joao Pessoa, Brazil

Volume

2

fYear

2001

fDate

2001

Firstpage

1189

Abstract

An iterative procedure for achieving gain and phase margin specifications for a PI controller is presented. The iteration scheme is based on the use of two relay tests applied to the closed loop system. The first relay test is standard and it is used here to obtain the gain margin of the closed loop system at each iteration step. The second one is applied to the closed loop system such that a limit cycle is developed at the loop gain crossover frequency. Under this condition it is possible to obtain an estimate of the phase margin of the loop transfer function. The procedure is applied to a PI controller tuning in a heat exchanger in laboratory scale using desired gain and phase margin specifications

Keywords

closed loop systems; control system synthesis; frequency estimation; frequency response; heat exchangers; iterative methods; limit cycles; relay control; transfer functions; tuning; two-term control; PI controller design; PI controller tuning; closed loop system; frequency estimation; gain margin specification; heat exchanger; iterative procedure; laboratory scale; limit cycle; loop gain crossover frequency; loop transfer function; phase margin specification; relay tests; Closed loop systems; Frequency locked loops; Laboratories; Limit-cycles; Phase estimation; Relays; System testing; Temperature control; Transfer functions; Tuning;

fLanguage

English

Publisher

ieee

Conference_Titel

Instrumentation and Measurement Technology Conference, 2001. IMTC 2001. Proceedings of the 18th IEEE

Conference_Location

Budapest

ISSN

1091-5281

Print_ISBN

0-7803-6646-8

Type

conf

DOI

10.1109/IMTC.2001.928265

Filename

928265