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)

تاريخ الإرسال : 22 الخميس , رمضان, 1436 تاريخ التأكيد : 01 السبت , صفر, 1439 تاريخ الإصدار : 15 الأحد , رجب, 1439

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.