Input Independent Chaos Synchronization of Switched Systems

Gilles Millérioux (1) , Jamal Daafouz (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

Input independent chaos synchronization of switched systems is addressed. The synchronization is carried out by designing an observer which involves a switched matrix gain. A special structure of this gain enables both an input independence of the state reconstruction error equation and a global convergence of this equation. Input independence is ensured by a suitable partial pole placement while the global convergence is based on the poly-quadratic stability concept. Those theoretical results would be interesting for possible applications in communications.

Domaines: Optimisation et contrôle [math.OC]

Gilles Millérioux, Jamal Daafouz. Input Independent Chaos Synchronization of Switched Systems. IEEE Transactions on Automatic Control, 2004, 49 (7), pp.1182-1186. ⟨10.1109/TAC.2004.831118⟩. ⟨hal-00121237⟩