Anti-Synchronization of Complex Chaotic T-System Via Optimal Adaptive Sliding-Mode and Its Application In Secure Communication

محورهای موضوعی : مجله بین المللی ریاضیات صنعتی

B. Naderi ¹ , H. Kheiri ² , A. Heydari ³

1 - Department of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, Iran
2 - Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
3 - Department of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, Iran

تاریخ دریافت : 1394/04/18 تاریخ پذیرش : 1396/07/29 تاریخ انتشار : 1397/01/12

کلید واژه: Barbalate's lemma, Sliding mode, Optimal control, Anti-synchronization, Secure communication,

چکیده مقاله :

In this paper, an optimal adaptive sliding mode controller is proposed for anti-synchronization of two identical hyperchaotic systems. We use hyperchaotic complex T-system for master and slave systems with unknown parameters in the slave system. To construct the optimal adaptive sliding mode controller, first a simple sliding surface is designed. Then, the optimal adaptive sliding mode controller is derived to guarantee the occurrence of the sliding motion.