Document Type: Research Paper
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, Iran
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
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.