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Quantitative non‐diagonal controller design for multivariable systems with uncertainty
Author(s) -
GarcíaSanz M.,
Egaña I.
Publication year - 2002
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.651
Subject(s) - multivariable calculus , diagonal , control theory (sociology) , controller (irrigation) , frame (networking) , quantitative feedback theory , computer science , matrix (chemical analysis) , control engineering , robust control , control (management) , control system , mathematical optimization , mathematics , engineering , artificial intelligence , chemistry , biology , telecommunications , agronomy , geometry , electrical engineering , chromatography
The loop coupling reduction of multivariable systems under the presence of plant uncertainty is currently a most discussed topic. Following the ideas suggested by Horowitz, in this paper the role played by the non‐diagonal controller elements is analysed in order to state a design methodology. Thus, the definition of a coupling matrix and a quality function of the non‐diagonal elements come into use to quantify the amount of loop interaction and to design the controllers, respectively. This yields a criterion that makes possible to propose a sequential design methodology of the fully populated matrix controller, in the quantitative feedback theory (QFT) robust control frame. Finally, a real example with the heat exchanger of a pasteurization plant is included to show the practical use of this technique. Copyright © 2002 John Wiley & Sons, Ltd.