 
Summary: Observing a subset of the states of linear systems
M. Aldeen
H. Trinh
Indexing terms: Linear networks, Modelling, Dynamic systems
Abstract: A selective state observer capable of
asymptotically tracking any arbitrarily chosen
subset of the state vector of linear timeinvariant
multivariable dynamic systems is introduced. The
dynamics of the observer are derived from a
model of the subset to be estimated. It is shown
that the only condition for the asymptotic track
ing of the subset is that the derived model be
observable. A simple and systematic observer
design method is presented and numerical exam
ples are given to illustrate the properties of the
new observer and its design method.
List of symbols
x = ndimensional state vector
U
y = mdimensionaloutput vector
