Multilayer fuzzy control of multivariable systems by direct decomposition

The application of multilayer control theory in multivariable fuzzy systems is considered. Some definitions and theorems with regard to such systems are given. Multilayer control algorithms, based on direct decomposition of the original system into layers, are presented and illustrated by numerical examples. The algorithms analyse the conditions for linguistic coincidence of the multilayer solution and the original. It is shown that the number of fuzzy relations is significantly reduced, and thus real-time measurement and control implementation is facilitated.