Research On Chaos Control And Synchronization Of The Unified Chaotic System And 2-double-scroll Chaotic System

This paper offers several methods to achieve the chaos control on the 2-double-scroll system and the synchronization between two identical unified chaotic systems. The main works are as follows:Firstly, selecting the unified chaotic system as a model, we achieve the synchronization between two identical systems using the modified dislocated feedback method and fuzzy logic controller, respectively. More precisely, because the synchronization of the whole unified chaotic system can not be realized using the original dislocated feedback method, which can only do the part-α≤1/29, we propose a modified dislocated feedback method to acquire the synchronization of the whole unified chaotic system according to modify the control input. Moreover, the fuzzy logic controller has been widely used in chaos control and synchronization, to our best knowledge, it is not applied to the uncertain unified chaotic system with parameters. In this paper, we achieve the synchronization of the unified chaotic system using robust fuzzy logic controller which was firstly proposed by H.T.Yau and C.S.Shieh.Secondly, we select the 2-double-scroll chaotic system, which is a representation of multi-scroll chaotic system, and achieve the control on it using sampled-data feedback method. The result riches the study on multi-scroll chaos control.Finally, many numerical simulations are given to verify the effectiveness and feasibility of the corresponding theoretical results.