Finite time observers: application to secure communication

Wilfrid Perruquetti (1, 2, 3) , Thierry Floquet (1, 2) , Emmanuel Moulay (4)

1 NON-A - Non-Asymptotic estimation for online systems
2 SyNeR - Systèmes Non Linéaires et à Retards
3 Centrale Lille
4 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes

In this paper, control theory is used to formalize finite time chaos synchronization as a nonlinear finite time observer design issue. This paper introduces a finite time observer for nonlinear systems that can be put into a linear canonical form up to output injection. The finite time convergence relies on the homogeneity properties of nonlinear systems. The observer is then applied to the problem of secure data transmission based on finite time chaos synchronization and the two-channel transmission method.

Domaines: Automatique

Wilfrid Perruquetti, Thierry Floquet, Emmanuel Moulay. Finite time observers: application to secure communication. IEEE Transactions on Automatic Control, 2008, 53 (1), pp.356-360. ⟨10.1109/TAC.2007.914264⟩. ⟨inria-00176758⟩