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arXiv · 1612.07962

Rational observers of rational systems

Jana Nemcova·Mihaly Petreczky·Jan H. van Schuppen
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Abstract

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 impies the existence of a output-based rational realization. Several examples of rational observers are provided including a polynomial system of which the state-space dimension of the polynomial observer is strictly higher than that of the corresponding system.

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Jana Nemcova, Mihaly Petreczky, Jan H. van Schuppen. 2016-12-23. Rational observers of rational systems. https://arxiv.org/abs/1612.07962

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