Minimal single linear functional observers for discrete-time linear systems

Meriem Hamdoun (1) , Mounir Ayadi (1) , Frédéric Rotella (2) , Irène Zambettakis (2)

1 UTM - Université de Tunis El Manar
2 LGP - Laboratoire Génie de Production

In this paper, the direct approach which was introduced for the first time by [Rotella and Zambettakis, 2011] in designing minimal functional state observers is extended to deal with discrete-time systems. One of the benefits of this approach is that it does not require solving the Sylvester matrix equation that appears in other observer design procedures. Both stable observers and arbitrary fixed poles observers problems are considered for minimality. A numerical example and simulation results explain the effectiveness and the benefits of the proposed algorithm.

Mots clés: Discrete-time linear systems

Domaines: Automatique / Robotique

Meriem Hamdoun, Mounir Ayadi, Frédéric Rotella, Irène Zambettakis. Minimal single linear functional observers for discrete-time linear systems. 2017 4th International Conference on Control, Decision and Information Technologies (CoDIT), Apr 2017, Barcelona, Spain. pp.0772-0777, ⟨10.1109/CoDIT.2017.8102688⟩. ⟨hal-02487154⟩