An abstract hierarchical control theory is developed for discrete-even
t systems, based on the concepts of control structures and observers.
Control structure is an abstract generalization of the family of contr
ollable sublanguages in the Ramadge-Wonham framework. We establish a g
eneral version of Zhong's hierarchical consistency by first achieving
control consistency - preservation of control structures through the a
ggregation mapping in a two-level hierarchy. For a refinement of hiera
rchical consistency with preservation of nonblocking, the concept of o
bserver is introduced via congruences on nondeterministic transition s
tructures.