Polytopic observer design for LPV systems based on minimal convex polytope finding

Floriane Anstett (1) , Gilles Millérioux (1) , Gérard Bloch (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

Linear Parameter Varying (LPV) systems are models widely encountered in the engineering field. In this paper, a systematic method is provided to design a polytopic observer whose goal is to reconstruct the state of discrete-time LPV systems. The method incorporates in an original manner a minimal convex polytope finding and thereby confers efficiency to the reconstruction technique. The proposed approach is illustrated in the context of secure communications based on chaotic parameter modulation.

Mots clés: Linear Parameter Varying (LPV) systems; minimal convex polytope; polytopic observers; chaotic systems

Domaines: Automatique; Dynamique Chaotique [nlin.CD]

Floriane Anstett, Gilles Millérioux, Gérard Bloch. Polytopic observer design for LPV systems based on minimal convex polytope finding. Journal of Algorithms and Computational Technology, 2009, 3 (1), pp.23-43. ⟨10.1260/174830109787186569⟩. ⟨hal-00278678⟩