The application of a causal dynamical observer-based controller for a
linear time-invariant square singular system is considered. Sufficient
conditions which constructively yield an approach for obtaining a red
uced-order causal compensator that stabilizes the system, eliminates i
mpulsive modes and estimates the system's state have been established.
In particular, the present approach establishes a clear and useful re
lation between the structure and the dimension of a minimal order comp
ensator for state-space and singular systems, and generalizes the sepa
ration property in an obvious way.