Title :
Multiloop PI/PID controller design based on Gershgorin bands
Author :
Chen, Dan ; Seborg, Dale E.
Author_Institution :
Dept. of Chem. Eng., California Univ., Santa Barbara, CA, USA
Abstract :
A new definition of the ultimate point is proposed for diagonally dominant, MIMO systems. Analytical formulas are developed for the new ultimate gains and ultimate frequencies based on the system frequency response and Gershgorin bands. Decentralized PI and PID controllers with set-point weighting factors can be tuned by using a modified version of the Ziegler-Nichols (ZN) relations. The proposed design method is simple and easy to implement. Two simulation examples compare the performance of the proposed multiloop design method with alternative techniques
Keywords :
MIMO systems; control system synthesis; three-term control; two-term control; Gershgorin bands; MIMO systems; PI controllers; PID controllers; Ziegler-Nichols relations; frequency response; multiloop design method; set-point weighting factors; ultimate frequencies; ultimate gains; Control systems; Design methodology; Frequency response; MIMO; Relays; Stability; Three-term control; Tuning; Weight control; Zinc;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.946377
