A viable design methodology to construct observers for a class of nonl
inear systems is developed. The proposed technique is based on the off
-line solution of a Riccati equation, and can be solved using commerci
ally available software packages. For globally valid results, the clas
s of systems considered is characterized by globally Lipschitz nonline
arities. Local results relax this assumption to only a local requireme
nt. For a more general description of nonlinear systems, the methodolo
gy yields approximate observers, locally. The proposed theory is used
to design an observer for a single-link flexible joint robot. This obs
erver estimates the robot link variables based on the joint measuremen
ts.