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Synthesis of decentralized process control structures using the concept of block relative gain
Author(s) -
Manousiouthakis Vasilios,
Savage Robert,
Arkun Yaman
Publication year - 1986
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690320609
Subject(s) - decentralised system , block (permutation group theory) , control theory (sociology) , process control , process (computing) , controller (irrigation) , computer science , boiler (water heating) , control (management) , control engineering , mathematical optimization , process engineering , mathematics , engineering , artificial intelligence , geometry , waste management , agronomy , biology , operating system
The concept of block relative gain (BRG) is introduced to define a measure of interaction for decentralized control structures. This new theoretical development generalizes the original Bristol's relative gain array (RGA) to block pairing of inputs and outputs that are not necessarily single‐input single‐output pairings. Various properties of BRG are rigorously derived and formulated in a mathematical framework suited to analysis and synthesis. Based on these important properties, a methodology is developed for the systematic generation and selective screening of alternative decentralized control structures. Subsequently, a controller design procedure for the most promising decentralized structures is given. A boiler furnace and a system of heat‐integrated reactors are used to illustrate the significance and the utility of the proposed method for industrial processes.