Hybrid control systems, that is, systems which contain both continuous
dynamics and discrete event dynamics are studied in this paper. First
, a model is introduced that describes the continuous plant and discre
te event controller along with an interface which connects them. A Dis
crete Event System (DES) automaton description is employed to describe
the plant together with the interface and it is used to analyze the h
ybrid control system. Controllability is defined for hybrid control sy
stems, enhancing existing DES control concepts. It is then used to obt
ain a controller design method for hybrid control systems.