Chaos synchronization: from the genesis to polytopic observers

Gilles Millérioux (1) , Jamal Daafouz (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

In this paper, the history of the famous problem known as chaos synchronization is traced from an automatic control point of view. First, it is recalled the two synchronization schemes introduced by Pecora and Carroll in 1990 called heterogeneous and homogeneous driving. Then, it is described how chaos synchronization has turned into an observer design problem during the years 1997s. Finally, the interest of a special class of observers, named polytopic observers and introduced in the year 2003, is motivated.

Mots clés: chaos synchronization; observers

Domaines: Systèmes dynamiques [math.DS]; Dynamique Chaotique [nlin.CD]

Gilles Millérioux, Jamal Daafouz. Chaos synchronization: from the genesis to polytopic observers. 1st IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS06, Jun 2006, Reims, France. pp.CDROM. ⟨hal-00119538⟩