Towards a complete design of linear functional observers

Benoît Larroque (1) , Farid Noureddine (1) , Frédéric Rotella (1)

1 LGP - Laboratoire Génie de Production

This paper provides a procedure for the design of a reduced order observer of a state linear functional for a linear lime-invariant system. The case, defined in[1], where the observer order p is given by the number m of single independent linear functionals to be observed, is called in this paper the minimum case where p = m. The minimum case is revisited and numerically simplified. The aim of this paper is lo extend the minimum case to the case where m < p < n-l, named minimal case. A constructive procedure is given to design the linear functional observer.

Mots clés: Linear functional observers; Linear time-invariant systems; Generalized inverse

Domaines: Automatique / Robotique

Benoît Larroque, Farid Noureddine, Frédéric Rotella. Towards a complete design of linear functional observers. International Review of Automatic Control, 2008, 1 (2), pp.132-142. ⟨hal-02880892⟩