Volume 12, Issue 1 pp. 83-103

Multilayer fuzzy control of multivariable systems by active decomposition

Alexander E. Gegov

Corresponding Author

Alexander E. Gegov

Bulgarian Academy of Sciences, Institute of Control and Systems Research, Block 2, Post Box 79, Sofia 1113, Bulgaria

Bulgarian Academy of Sciences, Institute of Control and Systems Research, Block 2, Post Box 79, Sofia 1113, BulgariaSearch for more papers by this author

Abstract

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.

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