Chaos Synchronization of Willis Aneurysm Systems

Abstract

In this paper an adaptive sliding mode controller is presented for a class of master-slave chaotic synchronization \u00a0systems \u00a0with \u00a0uncertainties. \u00a0The \u00a0concept \u00a0of \u00a0extended \u00a0systems \u00a0is \u00a0used \u00a0such \u00a0that \u00a0continuous control input is obtained using a sliding mode design scheme. By comparing with the results in the existed literatures, \u00a0the \u00a0results \u00a0show \u00a0that \u00a0the \u00a0master-slave \u00a0chaotic \u00a0systems \u00a0with \u00a0uncertainties \u00a0can \u00a0be \u00a0synchronized accurately by this controller. Illustrative examples of chaos synchronization for uncertain Willis system are presented to demonstrate the superiority of the obtained results.