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Multilayer fuzzy control of multivariable systems by active decomposition
Author(s) -
Gegov Alexander E.
Publication year - 1997
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/(sici)1098-111x(199701)12:1<83::aid-int4>3.0.co;2-u
Subject(s) - multivariable calculus , decomposition , fuzzy control system , fuzzy logic , computer science , fuzzy number , control theory (sociology) , mathematics , control (management) , fuzzy set , algorithm , mathematical optimization , artificial intelligence , control engineering , engineering , ecology , biology
The article considers the application of multilayer control theory in multivariable fuzzy systems. Some definitions and theorems with regard to such systems are given. Multilayer control algorithms, based on active decomposition of the original system into layers, are presented and illustrated by numerical examples. The algorithms use sets of transforming fuzzy relations, leading to a unilayer solution when added to the original fuzzy relations. The solution is dependent on a subset of state variables as the other variables are taken into account implicitly. It is shown that the number of measured variables and fuzzy relations is significantly reduced and thus real‐time measurement and control implementation is faciliated. © 1997 John Wiley & Sons, Inc.