Abstract
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.
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