Design of decentralized PI control systems based on Nyquist stability analysis

Author

Chen, Dan ; Seborg, Dale E.

Author_Institution

Dept. of Chem. Eng., California Univ., Santa Barbara, CA, USA

fYear

2001

fDate

2001

Firstpage

1048

Lastpage

1053

Abstract

Presents a simple but effective design method for decentralized PI control systems with guaranteed closed-loop stability. Nyquist stability conditions are analyzed for decentralized control systems. Formulas are derived that express the stability region for each PI controller in terms of the controller parameters. A detuning factor for each loop is specified based on a diagonal dominance index. Then appropriate controller settings are determined using this index and the stability region. Simulation results for a variety of 2 × 2 and 4 × 4 systems demonstrate that the proposed design method guarantees closed-loop stability and provides good set-point and load responses

Keywords

MIMO systems; Nyquist stability; closed loop systems; control system analysis; control system synthesis; decentralised control; stability criteria; two-term control; MIMO systems; Nyquist stability analysis; Nyquist stability conditions; closed-loop stability; decentralized PI control systems; diagonal dominance index; load responses; set-point responses; stability region; Chemical engineering; Control system analysis; Control systems; Design methodology; Distributed control; Frequency response; MIMO; Pi control; Stability analysis; Three-term control;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Applications, 2001. (CCA '01). Proceedings of the 2001 IEEE International Conference on

Conference_Location

Mexico City

Print_ISBN

0-7803-6733-2

Type

conf

DOI

10.1109/CCA.2001.974009

Filename

974009