A 3D autonomous chaotic system: dynamics and synchronization

A 3D autonomous chaotic system is proposed, and its dynamics are also investigated. Then, based on adaptive synchronization control theory and sliding mode technology, an approach of adaptive sliding mode control (SMC) is proposed by constructing an adaptive law and a simple controller, the trajectories of this chaotic system can be globally stabilized, and the global synchronization is also presented. The results prove the effectiveness of the proposed method. Compared to previous synchronization schemes, this adaptive SMC mechanism can help the control design by estimating the unknown parameters, the controller is simple to design, and it is particularly easy to implement in engineering.