Anti-Synchronization of Complex Chaotic T-System Via Optimal Adaptive Sliding-Mode and Its Application In Secure Communication
الموضوعات : مجله بین المللی ریاضیات صنعتی
B. Naderi
1
(Department of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, Iran)
H. Kheiri
2
(Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran)
A. Heydari
3
(Department of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, Iran)
الکلمات المفتاحية: Barbalate's lemma, Sliding mode, Optimal control, Anti-synchronization, Secure communication,
ملخص المقالة :
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.