Unknown input multiple observer based approach. Application to secure communications.

Abdelkader Akhenak (1) , Mohammed Chadli (2) , José Ragot (1) , Didier Maquin (1)

1 CRAN - Centre de Recherche en Automatique de Nancy
2 CREA - Centre de Robotique, d'Electrotechnique et d'Automatique

This paper presents multiple observer design for nonlinear chaotic sys- tems with unknown inputs in multiple model approach. The considered unknown inputs influences the states and the outputs of the system. The main objective is to estimate the state variables as well as the unknown inputs of this system. For that, we propose the synthesis of a multiple observer based on the elimination of these unknown inputs. The synthesis conditions of the proposed multiple observer are derived in linear matrix inequalities (LMI) terms. The proposed method is applied to secure communication. An simulation example is given to illustrate the effectiveness of the proposed synthesis conditions.

Keywords: multiple model; unknown input observer; state estimation; multiple observer; secure communication; linear matrix inequalities

Domains: Automatic

Abdelkader Akhenak, Mohammed Chadli, José Ragot, Didier Maquin. Unknown input multiple observer based approach. Application to secure communications.. 1st IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS06, Jun 2006, Reims, France. pp.CDROM. ⟨hal-00092056⟩