UNKNOWN INPUT MULTIPLE OBSERVER BASED-APPROACH - APPLICATION TO SECURE COMMUNICATIONS

This paper presents multiple observer design for nonlinear chaotic systems 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.