Rational observers are to be constructed for rational systems while polynomial observers are to be constructed for polynomial systems. An observer synthesis procedure is formulated. First an output-based rational realization is synthesized for the considered rational system. Then a perturbation technique creates an observer. Finite algebraic observability of the rational system implies the existence of an output-based rational realization. A local convergence result is proven. Examples are provided.
['Jana Nemcova', 'Mihaly Petreczky', 'Jan H. van Schuppen']
Rational observers of rational systems