Performances of unknown input observers for chaotic LPV maps in a stochastic context

Gilles Millérioux (1) , Jamal Daafouz (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

Jointly modeling chaotic maps as Linear Parameter Varying (LPV) systems and using Unknown Input Observers (UIOs) for retrieving the information in a secure communication scheme has previously been motivated in a deterministic context [Millerioux, G. and Daafouz, J. International Journal of Bifurcation and Chaos 14(4), 2004]. In this paper, some new theoretical results from a control theory point of view, concerning the design in a stochastic and so more realistic context of UIOs for chaotic LPV systems is provided. The design of such observers is expressed in terms of the resolution of a finite set of Matrix Inequalities constraints and guarantees some prescribed performances on the state reconstruction error.

Mots clés: linear parameter varying systems; unknown input observers; chaotic maps

Domaines: Automatique; Dynamique Chaotique [nlin.CD]

Gilles Millérioux, Jamal Daafouz. Performances of unknown input observers for chaotic LPV maps in a stochastic context. Nonlinear Dynamics, 2006, 44, pp.205-212. ⟨10.1007/s11071-006-1970-0⟩. ⟨hal-00114846⟩