Decentralised fuzzy control of multivariable systems by passive decomposition

The paper considers the problem of decentralised fuzzy control of multivariable systems. Some definitions and theorems with regard to this problem are given. Decentralised fuzzy control algorithms, based on passive decomposition of control laws, are presented and illustrated by numerical examples. The algorithms use local sets of fuzzy relations for the subsystems whose control variables are not affected by the interactional sets of fuzzy relations. It is shown that the number of fuzzy relations is significantly reduced, and thus real-time control implementation is facilitated.