Synchronization of an uncertain chaotic system based on sliding mode control

Abstract

In this paper we deal with the synchronization and parameter estimations of an uncertain Rikitake system. The strategy consists of proposing a slave system which has to follow asymptotically the unknown Rikitake system, refereed as master system. The gains of the slave system are adjusted continually according to a convenient adaptation control law, until the measurable output errors converge to zero. The convergence analysis is carried out by using Barbalat's Lemma.